From fbf472567df8875279bbe6634c15f4e1e8b881b3 Mon Sep 17 00:00:00 2001 From: Tom Minka <8955276+tminka@users.noreply.github.com> Date: Thu, 14 May 2020 14:14:45 +0100 Subject: [PATCH 1/3] ComputeSpecialFunctionsTestValues.py uses pure mpmath, more reliable quadrature. Computes values for NormalCdfRatioLn. Removed hard-coded cases. MMath.Log1PlusExp uses a threshold based on machine epsilon. --- src/Runtime/Core/Maths/SpecialFunctions.cs | 6 +- .../ComputeSpecialFunctionsTestValues.py | 334 +- test/TestApp/Program.cs | 2 + test/Tests/Core/SpecialFunctionsTest.cs | 1 - .../Data/SpecialFunctionsValues/BesselI.csv | 6 +- .../Data/SpecialFunctionsValues/BetaCdf.csv | 7690 ++++++++--------- .../Data/SpecialFunctionsValues/Digamma.csv | 8 +- .../Data/SpecialFunctionsValues/Erfc.csv | 12 +- .../Data/SpecialFunctionsValues/ExpMinus1.csv | 10 +- .../ExpMinus1RatioMinus1RatioMinusHalf.csv | 6 +- .../Data/SpecialFunctionsValues/Gamma.csv | 10 +- .../Data/SpecialFunctionsValues/GammaLn.csv | 16 +- .../SpecialFunctionsValues/GammaLower.csv | 4 +- .../SpecialFunctionsValues/GammaUpper.csv | 6 +- .../GammaUpperRegularized.csv | 22 +- .../SpecialFunctionsValues/Log1MinusExp.csv | 2 +- .../Data/SpecialFunctionsValues/Log1Plus.csv | 14 +- .../SpecialFunctionsValues/LogExpMinus1.csv | 10 +- .../Data/SpecialFunctionsValues/LogSumExp.csv | 10 +- .../Data/SpecialFunctionsValues/Logistic.csv | 6 +- .../SpecialFunctionsValues/LogisticLn.csv | 20 +- .../Data/SpecialFunctionsValues/NormalCdf.csv | 26 +- .../SpecialFunctionsValues/NormalCdf2.csv | 26 +- .../NormalCdfIntegral.csv | 10 +- .../NormalCdfIntegralRatio.csv | 8 +- .../SpecialFunctionsValues/NormalCdfLn.csv | 14 +- .../SpecialFunctionsValues/NormalCdfLn2.csv | 8 +- 27 files changed, 4160 insertions(+), 4127 deletions(-) diff --git a/src/Runtime/Core/Maths/SpecialFunctions.cs b/src/Runtime/Core/Maths/SpecialFunctions.cs index 443fbeeb6..173a976c2 100644 --- a/src/Runtime/Core/Maths/SpecialFunctions.cs +++ b/src/Runtime/Core/Maths/SpecialFunctions.cs @@ -3510,7 +3510,11 @@ public static double LogRatio(double numerator, double denominator) /// particularly when x < -36 or x > 50. public static double Log1PlusExp(double x) { - if (x > 50) + // The error of approximating log(1+exp(x)) by x is: + // log(1+exp(x))-x = log(1+exp(-x)) <= exp(-x) + // Thus we should use the approximation when exp(-x) <= ulp(x)/2 + // ulp(1) < ulp(x) therefore x > -log(ulp(1)/2) + if (x > -logEpsilon) return x; else return Log1Plus(Math.Exp(x)); diff --git a/src/Tools/PythonScripts/ComputeSpecialFunctionsTestValues.py b/src/Tools/PythonScripts/ComputeSpecialFunctionsTestValues.py index 12012a66e..9c6dd5b81 100644 --- a/src/Tools/PythonScripts/ComputeSpecialFunctionsTestValues.py +++ b/src/Tools/PythonScripts/ComputeSpecialFunctionsTestValues.py @@ -23,99 +23,118 @@ Then run this script to replace the dummy value. """ from __future__ import division -from sympy import * import os import csv +from mpmath import * import mpmath import time -mpmath.mp.pretty = true -mpmath.mp.dps = 500 +mp.pretty = True +mp.dps = 500 +output_dps = 50 + def normal_cdf_moment_ratio(n, x): - xmpf = to_mpmath(x) - nmpf = to_mpmath(n) if x < 0: - return Float(mpmath.power(2, -0.5 - nmpf / 2) * mpmath.hyperu(nmpf / 2 + 0.5, 0.5, xmpf * xmpf / 2)) - return Float(mpmath.exp(xmpf * xmpf / 4) * mpmath.pcfu(0.5 + nmpf, -xmpf)) + return power(2, -0.5 - n / 2) * hyperu(n / 2 + 0.5, 0.5, x * x / 2) + return exp(x * x / 4) * pcfu(0.5 + n, -x) -def mpmath_normal_cdf2(x, y, r): +def normal_cdf2(x, y, r): """ This function produces correct results for inputs currently present in /test/Tests/Data/SpecialFunctionsValues. Other inputs may fall into areas where currently present algorithms produce incorrect results and may require modifying this function. """ - if x == -mpmath.inf or y == -mpmath.inf: - return mpmath.mpf('0') - if x == mpmath.inf: - return mpmath.ncdf(y) - if y == mpmath.inf: - return mpmath.ncdf(x) - if r == mpmath.mpf('1'): - return mpmath.ncdf(min(x, y)) - if r == mpmath.mpf('-1'): - return mpmath.mpf('0') if x <= -y else mpmath.ncdf(x) - mpmath.ncdf(-y) + if x == -inf or y == -inf: + return mpf('0') + if x == inf: + return ncdf(y) + if y == inf: + return ncdf(x) + if r == mpf('1'): + return ncdf(min(x, y)) + if r == mpf('-1'): + if x <= -y: + return mpf('0') + elif x > y: + return ncdf(y) - ncdf(-x) + else: + return ncdf(x) - ncdf(-y) if abs(y) > abs(x): z = x x = y y = z - if r < 0: + if r < 0 and False: # phi(x,y,r) = phi(inf,y,r) - phi(-x,y,-r) - return max(mpmath.ncdf(x) - mpmath_normal_cdf2(x, -y, -r), mpmath.mpf('0')) + # phi(x,y,r) = phi(x,inf,r) - phi(x,-y,-r) + return ncdf(x) - normal_cdf2(x, -y, -r) + + if x > 0 and x + y > 0 and False: + return ncdf(y) - normal_cdf2(-x,y,-r) if x + y > 0: - # phi(x,y,r) = phi(-x,-y,r) - phi(x,y,-1) - return mpmath_normal_cdf2(-x, -y, r) + (mpmath.mpf('0') if x <= -y else mpmath.ncdf(x) - mpmath.ncdf(-y)) + # phi(x,y,r) = phi(-x,-y,r) + phi(x,y,-1) + return normal_cdf2(-x, -y, r) + normal_cdf2(x,y,-1) def f(t): - if abs(t) == mpmath.mpf('1'): - return mpmath.mpf('0') + if abs(t) == mpf('1'): + # When t = -1, (x*x+y*y-2*t*x*y) = (x+y)^2 >= 0 + # When t = 1, (x*x+y*y-2*t*x*y) = (x-y)^2 >= 0 + return mpf('0') omt2 = (1 - t) * (1 + t) - return 1 / (2 * mpmath.pi * mpmath.sqrt(omt2)) * mpmath.exp(-(x * x + y * y - 2 * t * x * y) / (2 * omt2)) - result, err = mpmath.quad(f, [-1, r], error=True) + return 1 / (2 * pi * sqrt(omt2)) * exp(-(x * x + y * y - 2 * t * x * y) / (2 * omt2)) + + omr2 = (1+r)*(1-r) + def f2(t): + return npdf(t - x) * normal_cdf((y - r*(x-t))/omr2) + + # This integral excludes normal_cdf2(x,y,-1) + # which will be zero when x+y <= 0 + result, err = safe_quad(f, [-1, r]) + #result, err = safe_quad(f2, [0, inf]) # this method has no offset - if mpmath.mpf('1e50') * abs(err) > abs(result): - print(f"Suspiciously big error when evaluating an integral for normal_cdf2({x}, {y}, {r}).") - print(f"Integral: {result}") - print(f"Integral error estimate: {err}") + if mpf(10)**output_dps * abs(err) > abs(result): + print(f"Suspiciously big error when evaluating an integral for normal_cdf2({nstr(x)}, {nstr(y)}, {nstr(r)}).") + print(f"Integral: {nstr(result)}") + print(f"Integral error estimate: {nstr(err)}") return result -def normal_cdf2(x, y, r): - result = mpmath_normal_cdf2(to_mpmath(x), to_mpmath(y), to_mpmath(r)) - return Float(result) - -def normal_cdf_ln2(x, y, r): - # Some bad cases present in test data that were computed separately, - # because the routine here can not provide sufficient accuracy - if x == Float('-0.299999999999999988897769753748434595763683319091796875') and y == Float('-0.299999999999999988897769753748434595763683319091796875') and r == Float('-0.99999899999999997124433548378874547779560089111328125'): - return Float('-90020.4997847132695760821045836463571450496491084868602301611') - if x == Float('-0.1000000000000000055511151231257827021181583404541015625') and y == Float('-0.1000000000000000055511151231257827021181583404541015625'): - if r == Float('-0.99999899999999997124433548378874547779560089111328125'): - return Float('-10018.3026957438325237319456255040365689256268122985682785824') - if r == Float('-0.99999000000000004551026222543441690504550933837890625'): - return Float('-1014.85016355878529115329386335426754801497185281882358946348') - if r == Float('-0.9999000000000000110134124042815528810024261474609375'): - return Float('-111.409512020775362450645082754211442935050576861888726532') - result = mpmath.ln(mpmath_normal_cdf2(to_mpmath(x), to_mpmath(y), to_mpmath(r))) - return Float(result) +def safe_quad(f, points): + verbose=False + # get a quick estimate of the result + estimate = quad(f, points, maxdegree=1, verbose=verbose) + if verbose: + print(f"Rescaling integrand by {nstr(1/estimate)}") + result, err = quad(lambda x: f(x)/estimate, points, error=True, verbose=verbose) + if mpf(10)**output_dps * abs(err) > abs(result): + estimate = result + if verbose: + print(f"Rescaling integrand by {nstr(1/estimate)}") + result, err = quad(lambda x: f(x)/result, points, error=True, verbose=verbose) + return result*estimate, err*estimate + +def normal_cdf2_ln(x, y, r): + return ln(normal_cdf2(x, y, r)) + +def normal_cdf2_ratio_ln(x, y, r, sqrtomr2): + omr2 = 1-r*r + return normal_cdf2_ln(x, y, r) + (x*x+y*y-2*r*x*y)/2/omr2 + log(2*pi) def logistic_gaussian(m, v): - if m == oo: - if v == oo: - return oo - return Float('1.0') - if v == oo: - return Float('0.5') - mmpf = to_mpmath(m) - vmpf = to_mpmath(v) - logEpsilon = log(mpmath.mpf('1e-500')) + if m == inf: + if v == inf: + return inf + return mpf('1.0') + if v == inf: + return mpf('0.5') + logEpsilon = log(eps) if 2*mmpf + 4*vmpf < logEpsilon: - return Float(exp(mmpf + vmpf/2) * (1 - exp(mmpf + 1.5 * vmpf) * (1 - exp(mmpf + 2.5 * vmpf)))) - tanhm = mpmath.tanh(mmpf) + return mpf(exp(m + v/2) * (1 - exp(m + 1.5 * v) * (1 - exp(m + 2.5 * v)))) + tanhm = tanh(m) # Not really a precise threshold, but fine for our data - if tanhm == mpmath.mpf('1.0'): - return Float('1.0') + if tanhm == mpf('1.0'): + return tanhm # The integration routine below is obtained by substituting x = atanh(t)*sqrt(v) # into the definition of logistic_gaussian # @@ -124,29 +143,27 @@ def logistic_gaussian(m, v): # # Such substitution makes mpmath.quad call much faster. # mpmath.quad uses exponential spacing between quadrature points, so we want the transformation to grow like log(x). - sqrtv = mpmath.sqrt(vmpf) - misqrtv = mmpf/sqrtv - scale = max(10, mmpf + sqrtv)/sqrtv + sqrtv = sqrt(v) + misqrtv = m/sqrtv + scale = max(10, m + sqrtv)/sqrtv def f(t): - x = scale*mpmath.atanh(t) - return mpmath.exp(-(x - misqrtv) ** 2 / 2) / (1 + mpmath.exp(-x*sqrtv)) / (1 - t * t) - coef = scale / mpmath.sqrt(2 * mpmath.pi) - points = [-1, 0, 1] - int, err = mpmath.quad(f, points, error=True) + x = scale*atanh(t) + return exp(-(x - misqrtv) ** 2 / 2) / (1 + exp(-x*sqrtv)) / (1 - t * t) + coef = scale / sqrt(2 * pi) + points = [-1, 1] + int, err = safe_quad(f, points) result = coef * int - if mpmath.mpf('1e50') * abs(err) > abs(int): + if mpf(10)**output_dps * abs(err) > abs(int): print(f"Suspiciously big error when evaluating an integral for logistic_gaussian({m}, {v}).") print(f"Integral: {int}") print(f"integral error estimate: {err}") print(f"Coefficient: {coef}") print(f"Result (Coefficient * Integral): {result}") - return Float(result) + return result def logistic_gaussian_deriv(m, v): if m.is_infinite or v.is_infinite: - return Float('0.0') - mmpf = to_mpmath(m) - vmpf = to_mpmath(v) + return mpf('0.0') # The integration routine below is obtained by substituting x = atanh(t) # into the definition of logistic_gaussian' # @@ -156,23 +173,21 @@ def logistic_gaussian_deriv(m, v): # Such substitution makes mpmath.quad call much faster. def f(t): one_minus_t_squared = 1 - t * t - return mpmath.exp(-(mpmath.atanh(t) - mmpf) ** 2 / (2 * vmpf)) / (one_minus_t_squared + mpmath.sqrt(one_minus_t_squared)) - coef = mpmath.mpf('0.5') / mpmath.sqrt(2 * mpmath.pi * vmpf) - int, err = mpmath.quad(f, [-1, 1], error=True) + return exp(-(atanh(t) - m) ** 2 / (2 * v)) / (one_minus_t_squared + sqrt(one_minus_t_squared)) + coef = 0.5 / sqrt(2 * pi * v) + int, err = safe_quad(f, [-1, 1]) result = coef * int - if mpmath.mpf('1e50') * abs(err) > abs(int): + if mpf(10)**output_dps * abs(err) > abs(int): print(f"Suspiciously big error when evaluating an integral for logistic_gaussian'({m}, {v}).") print(f"Integral: {int}") print(f"integral error estimate: {err}") print(f"Coefficient: {coef}") print(f"Result (Coefficient * Integral): {result}") - return Float(result) + return result def logistic_gaussian_deriv2(m, v): if m.is_infinite or v.is_infinite: - return Float('0.0') - mmpf = to_mpmath(m) - vmpf = to_mpmath(v) + return mpf(0) # The integration routine below is obtained by substituting x = atanh(t) # into the definition of logistic_gaussian'' # @@ -188,82 +203,85 @@ def logistic_gaussian_deriv2(m, v): def f(t): one_minus_t = 1 - t one_minus_t_squared = 1 - t * t - sqrt_one_minus_t_squared = mpmath.sqrt(one_minus_t_squared) - return mpmath.exp(-(mpmath.atanh(t) - mmpf) ** 2 / (2 * vmpf)) * (one_minus_t - sqrt_one_minus_t_squared) / ((one_minus_t_squared + sqrt_one_minus_t_squared) * (one_minus_t + sqrt_one_minus_t_squared)) - coef = mpmath.mpf('0.5') / mpmath.sqrt(2 * mpmath.pi * vmpf) - int, err = mpmath.quad(f, [-1, 1], error=True) + sqrt_one_minus_t_squared = sqrt(one_minus_t_squared) + return exp(-(atanh(t) - m) ** 2 / (2 * v)) * (one_minus_t - sqrt_one_minus_t_squared) / ((one_minus_t_squared + sqrt_one_minus_t_squared) * (one_minus_t + sqrt_one_minus_t_squared)) + coef = 0.5 / sqrt(2 * pi * v) + int, err = safe_quad(f, [-1, 1]) result = coef * int - if mpmath.mpf('1e50') * abs(err) > abs(int): + if mpf(10)**output_dps * abs(err) > abs(int): print(f"Suspiciously big error when evaluating an integral for logistic_gaussian''({m}, {v}).") - print(f"Integral: {int}") - print(f"integral error estimate: {err}") - print(f"Coefficient: {coef}") - print(f"Result (Coefficient * Integral): {result}") - return Float(result) + print(f"Integral: {nstr(int)}") + print(f"integral error estimate: {nstr(err)}") + print(f"Coefficient: {nstr(coef)}") + print(f"Result (Coefficient * Integral): {nstr(result)}") + return result def normal_cdf(x): - return erfc(-x / sqrt(S(2))) / 2 + """ + An alternate way of computing ncdf that avoids the bugs in ncdf + """ + return 0.5 * gammainc(0.5, x * x / 2, inf) / gamma(0.5) def normal_pdf_ln(x): return -x * x / 2 - log(sqrt(2 * pi)) def normal_cdf_integral(x, y, r): - if x == -oo or y == -oo: - return Float('0.0') - if x == oo: - return oo - if y == oo: + if x == -inf or y == -inf: + return mpf('0.0') + if x == inf: + return inf + if y == inf: result = normal_cdf2(x, y, r) if x > 0: - return result * x + exp(normal_pdf_ln(x) - log(normal_cdf(x))) + return result * x + exp(normal_pdf_ln(x) - log(ncdf(x))) else: - return result * normal_cdf_moment_ratio(Float('1.0'), x) * exp(normal_pdf_ln(x) - log(normal_cdf(x))) - if r == S(1): + return result * normal_cdf_moment_ratio(mpf('1.0'), x) * exp(normal_pdf_ln(x) - log(ncdf(x))) + if r == mpf(1): if x <= y: - return normal_cdf_moment_ratio(Float('1.0'), x) * exp(normal_pdf_ln(x)) + return normal_cdf_moment_ratio(mpf('1.0'), x) * exp(normal_pdf_ln(x)) else: npdfy = exp(normal_pdf_ln(y)) - return (normal_cdf_moment_ratio(Float('1.0'), y) + (x - y) * normal_cdf(y) / npdfy) * npdfy - if r == S(-1): + return (normal_cdf_moment_ratio(mpf('1.0'), y) + (x - y) * ncdf(y) / npdfy) * npdfy + if r == mpf(-1): if x + y <= 0: - return S(0) + return mpf(0) else: - return x * (normal_cdf(y) - normal_cdf(-x)) + exp(normal_pdf_ln(x)) - exp(normal_pdf_ln(y)) + return x * normal_cdf2(x, y, r) + npdf(x) - npdf(y) # This area separation works well for inputs currently present in /test/Tests/Data/SpecialFunctionsValues # Other inputs may require making this more accurate - if x > 0 and y > 0 and 1 + r < Float('1e-12'): - return normal_cdf_integral(x, y, S(-1)) - normal_cdf_integral(-x, -y, r) - sqrtomr2 = sqrt((1 - r) * (1 + r)) - return x * normal_cdf2(x, y, r) + exp(normal_pdf_ln(x) + log(normal_cdf((y - r * x) / sqrtomr2))) + r * exp(normal_pdf_ln(y) + log(normal_cdf((x - r * y) / sqrtomr2))) + if x > 0 and y > 0 and 1 + r < mpf('1e-12'): + return normal_cdf_integral(x, y, -1) - normal_cdf_integral(-x, -y, r) + omr2 = (1-r)*(1+r) + sqrtomr2 = sqrt(omr2) + # This is accurate when x >= 0 and r >= 0 + if True: #x >= 0 and r >= 0: + return x * normal_cdf2(x, y, r) + exp(normal_pdf_ln(x) + log(ncdf((y - r * x) / sqrtomr2))) + r * exp(normal_pdf_ln(y) + log(ncdf((x - r * y) / sqrtomr2))) + # try quadrature on the integral definition + def f(t): + return t * npdf(t - x) * normal_cdf((y - r*(x-t))/omr2) + result, err = safe_quad(f, [0, inf]) + if mpf(10)**output_dps * abs(err) > abs(result): + print(f"Suspiciously big error when evaluating an integral for normal_cdf_integral({x}, {y}, {r}).") + print(f"Integral: {nstr(result)}") + print(f"integral error estimate: {nstr(err)}") + return result + + def normal_cdf_integral_ratio(x, y, r): - # Some bad cases present in test data that were computed separately, - # because the routine here can not provide sufficient accuracy - if x == Float('-39062.4923802060075104236602783203125') and y == Float('39062.5011106818928965367376804351806640625') and r == Float('-0.9999998333405668571316482484689913690090179443359375'): - return Float('0.000025600004960154713498351213672772546931354593117186546685502492546785021612') - # Returned values in cases below are imprecise, because their evaluation requires values to be represented as unevaluated exponents - # (otherwise both normal cdf and its integral end up being zeroes even in mpfr). - # Standard libraries don't have that, so for now values produced by Infer.Net itself are used. - if x == Float('-824.4368021638800883010844700038433074951171875') and y == Float('-23300.71373148090788163244724273681640625') and r == Float('-0.9991576459172382129736433853395283222198486328125'): - return Float('6.9859450855259114E-08') - if x == Float('790.8036889243788891690201126039028167724609375') and y == Float('-1081777102.232640743255615234375') and r == Float('-0.9458744064347397451086862929514609277248382568359375'): - return Float('1.0293108592794333E-10') - if x == Float('790.8036889243788891690201126039028167724609375') and y == Float('-1081776354979.671875') and r == Float('-0.9458744064347397451086862929514609277248382568359375'): - return Float('1.0293107755790882E-13') int_z = normal_cdf_integral(x, y, r) - if int_z == S(0): + if int_z == mpf(0): return int_z z = normal_cdf2(x, y, r) return int_z / z def beta_cdf(x, a, b): - if x <= S(0): - return Float('0.0') - if x >= S(1): - return Float('1.0') - result = mpmath.betainc(to_mpmath(a), to_mpmath(b), 0, to_mpmath(x), regularized=True) - return Float(result) + if x <= 0: + return 0 + if x >= 1: + return 1 + return betainc(a, b, 0, x, regularized=True) pair_info = { 'BesselI.csv': besseli, @@ -271,12 +289,12 @@ def beta_cdf(x, a, b): 'Digamma.csv': digamma, 'Erfc.csv': erfc, 'ExpMinus1.csv': lambda x: exp(x) - 1, - 'ExpMinus1RatioMinus1RatioMinusHalf.csv': lambda x: ((exp(x) - 1) / x - 1) / x - S(1) / 2 if x != S(0) else S(0), + 'ExpMinus1RatioMinus1RatioMinusHalf.csv': lambda x: ((exp(x) - 1) / x - 1) / x - 0.5 if x != mpf(0) else mpf(0), 'Gamma.csv': gamma, 'GammaLn.csv': loggamma, - 'GammaLower.csv': lambda s, x: lowergamma(s, x) / gamma(s) if s != oo else S(0), - 'GammaUpper.csv': uppergamma, - 'GammaUpperRegularized.csv': lambda s, x: 1 - (lowergamma(s, x) / gamma(s) if s != oo else S(0)), + 'GammaLower.csv': lambda s, x: gammainc(s, 0, x) / gamma(s) if s != inf else mpf(0), + 'GammaUpper.csv': lambda s, x: gammainc(s, x, inf), + 'GammaUpperRegularized.csv': lambda s, x: gammainc(s, x, inf) / gamma(s) if s != inf else mpf(1), 'GammaUpperScale.csv' : lambda s, x: x ** s * exp(-x) / gamma(s), 'Log1MinusExp.csv': lambda x: log(1 - exp(x)), 'Log1Plus.csv': lambda x: log(1 + x), @@ -287,38 +305,31 @@ def beta_cdf(x, a, b): 'logisticGaussianDeriv2.csv': logistic_gaussian_deriv2, 'LogisticLn.csv': lambda x: -log(1 + exp(-x)), 'LogSumExp.csv': lambda x, y: log(exp(x) + exp(y)), - 'NormalCdf.csv': normal_cdf, + 'NormalCdf.csv': ncdf, 'NormalCdf2.csv': normal_cdf2, 'NormalCdfIntegral.csv': normal_cdf_integral, 'NormalCdfIntegralRatio.csv': normal_cdf_integral_ratio, - 'NormalCdfInv.csv': lambda x: -sqrt(S(2)) * erfinv(1 - 2 * x), - 'NormalCdfLn.csv': lambda x: log(normal_cdf(x)), - 'NormalCdfLn2.csv': normal_cdf_ln2, - 'NormalCdfLogit.csv': lambda x: log(normal_cdf(x)) - log(normal_cdf(-x)), + 'NormalCdfInv.csv': lambda x: -sqrt(mpf(2)) * erfinv(1 - 2 * x), + 'NormalCdfLn.csv': lambda x: log(ncdf(x)), + 'NormalCdfLn2.csv': normal_cdf2_ln, + 'NormalCdfLogit.csv': lambda x: log(ncdf(x)) - log(ncdf(-x)), 'NormalCdfMomentRatio.csv': normal_cdf_moment_ratio, - 'NormalCdfRatioLn2.csv': None, # All test cases are pathological and need to be computed separately. + 'NormalCdfRatioLn2.csv': normal_cdf2_ratio_ln, 'Tetragamma.csv': lambda x: polygamma(2, x), - 'Trigamma.csv': trigamma, + 'Trigamma.csv': lambda x: polygamma(1, x), 'ulp.csv': None } -def to_mpmath(x): - if x == -oo: - return -mpmath.inf - if x == oo: - return mpmath.inf - return x._to_mpmath(mpmath.mp.dps) - def float_str_csharp_to_python(s): return s.replace('NaN', 'nan').replace('Infinity', 'inf') def float_str_python_to_csharp(s): - return s.replace('nan', 'NaN').replace('inf', 'Infinity').replace('oo', 'Infinity') + return s.replace('nan', 'NaN').replace('inf', 'Infinity').replace('inf', 'Infinity') dir = os.path.join(os.path.dirname(os.path.realpath(__file__)), '..', '..', '..', 'test', 'Tests', 'data', 'SpecialFunctionsValues') with os.scandir(dir) as it: for entry in it: - if entry.name.endswith('.csv') and entry.is_file() and entry.name == "logisticGaussian.csv": + if entry.name.endswith('.csv') and entry.is_file(): print(f'Processing {entry.name}...') if entry.name not in pair_info.keys() or pair_info[entry.name] == None: print("Don't know how to process. Skipping.") @@ -333,24 +344,25 @@ def float_str_python_to_csharp(s): newrow = dict(row) args = [] for i in range(arg_count): - args.append(Float(float_str_csharp_to_python(row[f'arg{i}']))) + args.append(mpf(float_str_csharp_to_python(row[f'arg{i}']))) result_in_file = row['expectedresult'] + verbose = True if result_in_file == 'Infinity' or result_in_file == '-Infinity' or result_in_file == 'NaN': newrow['expectedresult'] = result_in_file else: - print(f'{entry.name}{args}') try: - startTime = time.time() - result = f(*args).evalf(50, maxn=500) - elapsed = time.time() - startTime - print(f'({elapsed} seconds elapsed)') - print(result) - if abs(result) < Float('1e-20000'): - result = Float('0') + if verbose: + print(f'{entry.name}{args}') + startTime = time.time() + result = f(*args) + if verbose: + elapsed = time.time() - startTime + print(f'({elapsed} seconds elapsed)') + nprint(result, 50) except ValueError: print(f'ValueError for args {args}. Setting result to NaN.') - result = Float('nan') - newrow['expectedresult'] = float_str_python_to_csharp(str(result)) + result = mpf('nan') + newrow['expectedresult'] = float_str_python_to_csharp(nstr(result, 50)) newrows.append(newrow) with open(entry.path, 'w', newline='') as csvfile: diff --git a/test/TestApp/Program.cs b/test/TestApp/Program.cs index c545039c4..1a1dcc189 100644 --- a/test/TestApp/Program.cs +++ b/test/TestApp/Program.cs @@ -81,6 +81,8 @@ private static void Main() Stopwatch watch = new Stopwatch(); watch.Start(); + new SpecialFunctionsTests().NormalCdf2Test(); + if (false) { // Run all tests (need to run in 64-bit else OutOfMemory due to loading many DLLs) diff --git a/test/Tests/Core/SpecialFunctionsTest.cs b/test/Tests/Core/SpecialFunctionsTest.cs index 82fe1bf25..b65ca3454 100644 --- a/test/Tests/Core/SpecialFunctionsTest.cs +++ b/test/Tests/Core/SpecialFunctionsTest.cs @@ -105,7 +105,6 @@ internal static void GammaSpeedTest() public void SpecialFunctionsTest() { double[,] logistic_pairs = ReadPairs(Path.Combine(TestUtils.DataFolderPath, "SpecialFunctionsValues", "Logistic.csv")); - CheckFunctionValues("Logistic", MMath.Logistic, logistic_pairs); double[,] logisticln_pairs = ReadPairs(Path.Combine(TestUtils.DataFolderPath, "SpecialFunctionsValues", "LogisticLn.csv")); diff --git a/test/Tests/Data/SpecialFunctionsValues/BesselI.csv b/test/Tests/Data/SpecialFunctionsValues/BesselI.csv index cf5b9336e..173cd4430 100644 --- a/test/Tests/Data/SpecialFunctionsValues/BesselI.csv +++ b/test/Tests/Data/SpecialFunctionsValues/BesselI.csv @@ -1,8 +1,8 @@ arg0,arg1,expectedresult --10.5,10,13.789354201446675514479316442327018742439218890080 +-10.5,10,13.78935420144667551447931644232701874243921889008 -1.5,1,-0.29352532634747979978862885806310923601561555826608 -0,0,1.0000000000000000000000000000000000000000000000000 +0,0,1.0 0,0.1000000000000000020816681711721685132943093776702880859375e-1,1.0000250001562504340294967939547907935989495886359 -0,1,1.2660658777520083355982446252147175376076703113550 +0,1,1.266065877752008335598244625214717537607670311355 0,10,2815.7166284662544714698111534265900930784512383961 10,10,21.891706163723370525929098884796434822047534816055 diff --git a/test/Tests/Data/SpecialFunctionsValues/BetaCdf.csv b/test/Tests/Data/SpecialFunctionsValues/BetaCdf.csv index 95cded0d2..71290d8f5 100644 --- a/test/Tests/Data/SpecialFunctionsValues/BetaCdf.csv +++ b/test/Tests/Data/SpecialFunctionsValues/BetaCdf.csv @@ -1,6 +1,6 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,0.1000000000000000055511151231257827021181583404541015625,0.1000000000000000055511151231257827021181583404541015625,0.37750848287495205262373758488592375986280081444224 -0.5000000000000000277555756156289135105907917022705078125e-1,0.1000000000000000055511151231257827021181583404541015625,0.200000000000000011102230246251565404236316680908203125,0.50953912153463986562166214920032641614680888698380 +0.5000000000000000277555756156289135105907917022705078125e-1,0.1000000000000000055511151231257827021181583404541015625,0.200000000000000011102230246251565404236316680908203125,0.5095391215346398656216621492003264161468088869838 0.5000000000000000277555756156289135105907917022705078125e-1,0.1000000000000000055511151231257827021181583404541015625,0.299999999999999988897769753748434595763683319091796875,0.57951057978130552127092413208082984523846089768716 0.5000000000000000277555756156289135105907917022705078125e-1,0.1000000000000000055511151231257827021181583404541015625,0.5,0.65605156925070810848704635188374986058281921982152 0.5000000000000000277555756156289135105907917022705078125e-1,0.1000000000000000055511151231257827021181583404541015625,1,0.74113444910694770911121252232805159953749929249566 @@ -24,8 +24,8 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,0.1000000000000000055511151231257827021181583404541015625,50,0.99720963512634697597938360498435620827660826152963 0.5000000000000000277555756156289135105907917022705078125e-1,0.1000000000000000055511151231257827021181583404541015625,50.10000000000000142108547152020037174224853515625,0.99722790490476399166032028745152498171105265120059 0.5000000000000000277555756156289135105907917022705078125e-1,0.1000000000000000055511151231257827021181583404541015625,50.5,0.99729972953097451787221333197528410458067621580112 -0.5000000000000000277555756156289135105907917022705078125e-1,0.1000000000000000055511151231257827021181583404541015625,99.5,0.99986887243821243950392141491529940977492492239150 -0.5000000000000000277555756156289135105907917022705078125e-1,0.1000000000000000055511151231257827021181583404541015625,99.900000000000005684341886080801486968994140625,0.99987193922381955277612563658237113069475328495277 +0.5000000000000000277555756156289135105907917022705078125e-1,0.1000000000000000055511151231257827021181583404541015625,99.5,0.9998688724382124395039214149152994097749249223915 +0.5000000000000000277555756156289135105907917022705078125e-1,0.1000000000000000055511151231257827021181583404541015625,99.900000000000005684341886080801486968994140625,0.99987193922381955277612563658237113069475328495278 0.5000000000000000277555756156289135105907917022705078125e-1,0.1000000000000000055511151231257827021181583404541015625,100,0.99987269442200751736937362530868020283709295590381 0.5000000000000000277555756156289135105907917022705078125e-1,0.1000000000000000055511151231257827021181583404541015625,100.099999999999994315658113919198513031005859375,0.99987344507754275716904997954756175282862749247161 0.5000000000000000277555756156289135105907917022705078125e-1,0.1000000000000000055511151231257827021181583404541015625,100.5,0.99987640283052884176668957209095433755727755732741 @@ -37,7 +37,7 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,0.200000000000000011102230246251565404236316680908203125,0.299999999999999988897769753748434595763683319091796875,0.35656087861970075700320334668550896953312502367535 0.5000000000000000277555756156289135105907917022705078125e-1,0.200000000000000011102230246251565404236316680908203125,0.5,0.43998059040644173539382623892299603083378404430366 0.5000000000000000277555756156289135105907917022705078125e-1,0.200000000000000011102230246251565404236316680908203125,1,0.54928027165305886393933935739913796889614754109453 -0.5000000000000000277555756156289135105907917022705078125e-1,0.200000000000000011102230246251565404236316680908203125,1.100000000000000088817841970012523233890533447265625,0.56387714526357412102223224636006091544909026186913 +0.5000000000000000277555756156289135105907917022705078125e-1,0.200000000000000011102230246251565404236316680908203125,1.100000000000000088817841970012523233890533447265625,0.56387714526357412102223224636006091544909026186912 0.5000000000000000277555756156289135105907917022705078125e-1,0.200000000000000011102230246251565404236316680908203125,1.5,0.61078990907467585845434921937791375262258974613041 0.5000000000000000277555756156289135105907917022705078125e-1,0.200000000000000011102230246251565404236316680908203125,1.899999999999999911182158029987476766109466552734375,0.64604310345106233778558398895719757954821674723819 0.5000000000000000277555756156289135105907917022705078125e-1,0.200000000000000011102230246251565404236316680908203125,2,0.65364352326714005357622627635925397216126134844069 @@ -56,7 +56,7 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,0.200000000000000011102230246251565404236316680908203125,49.89999999999999857891452847979962825775146484375,0.99346735994220091559047726847105285238623859073024 0.5000000000000000277555756156289135105907917022705078125e-1,0.200000000000000011102230246251565404236316680908203125,50,0.99350906698732685410668911801916549542504700630511 0.5000000000000000277555756156289135105907917022705078125e-1,0.200000000000000011102230246251565404236316680908203125,50.10000000000000142108547152020037174224853515625,0.99355049379019882393814436850899605629975404382961 -0.5000000000000000277555756156289135105907917022705078125e-1,0.200000000000000011102230246251565404236316680908203125,50.5,0.99371343867225201553986030956121684300057216449200 +0.5000000000000000277555756156289135105907917022705078125e-1,0.200000000000000011102230246251565404236316680908203125,50.5,0.993713438672252015539860309561216843000572164492 0.5000000000000000277555756156289135105907917022705078125e-1,0.200000000000000011102230246251565404236316680908203125,99.5,0.99967637720931969270901723766140868735768326190067 0.5000000000000000277555756156289135105907917022705078125e-1,0.200000000000000011102230246251565404236316680908203125,99.900000000000005684341886080801486968994140625,0.99968383359612792649549127540769052049649292534572 0.5000000000000000277555756156289135105907917022705078125e-1,0.200000000000000011102230246251565404236316680908203125,100,0.99968567020212775691732248185004768088183598303568 @@ -65,7 +65,7 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,0.200000000000000011102230246251565404236316680908203125,120,0.99990086908029689939487216518919881893994095132541 0.5000000000000000277555756156289135105907917022705078125e-1,0.200000000000000011102230246251565404236316680908203125,150,0.99998186581058390341498676983485142424849444627516 0.5000000000000000277555756156289135105907917022705078125e-1,0.200000000000000011102230246251565404236316680908203125,500,0.99999999999988279466694012939931335547928126786515 -0.5000000000000000277555756156289135105907917022705078125e-1,0.299999999999999988897769753748434595763683319091796875,0.1000000000000000055511151231257827021181583404541015625,0.10688913692497606628009608583654201007988828684010 +0.5000000000000000277555756156289135105907917022705078125e-1,0.299999999999999988897769753748434595763683319091796875,0.1000000000000000055511151231257827021181583404541015625,0.1068891369249760662800960858365420100798882868401 0.5000000000000000277555756156289135105907917022705078125e-1,0.299999999999999988897769753748434595763683319091796875,0.200000000000000011102230246251565404236316680908203125,0.17678607977658073975442991034171752424089328258977 0.5000000000000000277555756156289135105907917022705078125e-1,0.299999999999999988897769753748434595763683319091796875,0.299999999999999988897769753748434595763683319091796875,0.22766823410709799068201700675724091152380612433004 0.5000000000000000277555756156289135105907917022705078125e-1,0.299999999999999988897769753748434595763683319091796875,0.5,0.29970031385181828381079019781791083084374956891686 @@ -77,27 +77,27 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,0.299999999999999988897769753748434595763683319091796875,2.100000000000000088817841970012523233890533447265625,0.53159228068204214219442851995153691654769909759882 0.5000000000000000277555756156289135105907917022705078125e-1,0.299999999999999988897769753748434595763683319091796875,2.5,0.56222170692043561869372479148338233004058574988624 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0.5000000000000000277555756156289135105907917022705078125e-1,1.100000000000000088817841970012523233890533447265625,1.100000000000000088817841970012523233890533447265625,0.040901570140695825073857033071570109895297499859731 0.5000000000000000277555756156289135105907917022705078125e-1,1.100000000000000088817841970012523233890533447265625,1.5,0.056368464393925118232490825104459641110017799916373 @@ -183,16 +183,16 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,1.100000000000000088817841970012523233890533447265625,14.9000000000000003552713678800500929355621337890625,0.48894889972660919439930296759529909061407831940286 0.5000000000000000277555756156289135105907917022705078125e-1,1.100000000000000088817841970012523233890533447265625,19.89999999999999857891452847979962825775146484375,0.59808478353106999767682884814540797586413059355126 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arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,1.5,1,0.011180339887498949412996175811383768000710287122626 0.5000000000000000277555756156289135105907917022705078125e-1,1.5,1.100000000000000088817841970012523233890533447265625,0.012600093137125750945222820211993766278458242818479 0.5000000000000000277555756156289135105907917022705078125e-1,1.5,1.5,0.018693036734249324401661109335247502224645273368985 -0.5000000000000000277555756156289135105907917022705078125e-1,1.5,1.899999999999999911182158029987476766109466552734375,0.025364862787574165914129419642168390477828894913010 +0.5000000000000000277555756156289135105907917022705078125e-1,1.5,1.899999999999999911182158029987476766109466552734375,0.02536486278757416591412941964216839047782889491301 0.5000000000000000277555756156289135105907917022705078125e-1,1.5,2,0.027112324227184952279968210969219264830664379841952 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0.5000000000000000277555756156289135105907917022705078125e-1,2,1.899999999999999911182158029987476766109466552734375,0.0066804817682348270224069044137852278589281134064268 0.5000000000000000277555756156289135105907917022705078125e-1,2,2,0.0072500000000000007910339050454240558518809628968566 0.5000000000000000277555756156289135105907917022705078125e-1,2,2.100000000000000088817841970012523233890533447265625,0.0078396913028323351394099245281497369036186280055444 -0.5000000000000000277555756156289135105907917022705078125e-1,2,2.5,0.010395786678614884458193892000656850096937593805680 +0.5000000000000000277555756156289135105907917022705078125e-1,2,2.5,0.01039578667861488445819389200065685009693759380568 0.5000000000000000277555756156289135105907917022705078125e-1,2,2.899999999999999911182158029987476766109466552734375,0.013257254834152907458557170398133264158651627013069 0.5000000000000000277555756156289135105907917022705078125e-1,2,3,0.014018750000000001502964419586305703923013692902579 0.5000000000000000277555756156289135105907917022705078125e-1,2,14,0.17095253550359925464556885335621825316360362723931 @@ -284,7 +284,7 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,2,20,0.28302815518291555327987866200739631654208509054214 0.5000000000000000277555756156289135105907917022705078125e-1,2,20.10000000000000142108547152020037174224853515625,0.28491306511766108721832420190673688898013848166101 0.5000000000000000277555756156289135105907917022705078125e-1,2,49.5,0.72567002069866748185853886241390121503633048990471 -0.5000000000000000277555756156289135105907917022705078125e-1,2,49.89999999999999857891452847979962825775146484375,0.72969437460741090255539115604925707213493850880573 +0.5000000000000000277555756156289135105907917022705078125e-1,2,49.89999999999999857891452847979962825775146484375,0.72969437460741090255539115604925707213493850880572 0.5000000000000000277555756156289135105907917022705078125e-1,2,50,0.73069258653150337620266863535173876020501217392177 0.5000000000000000277555756156289135105907917022705078125e-1,2,50.10000000000000142108547152020037174224853515625,0.73168765973506918742442315045442269254296751961632 0.5000000000000000277555756156289135105907917022705078125e-1,2,50.5,0.73563668541429143376967629785672996177534056249828 @@ -317,7 +317,7 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,2.100000000000000088817841970012523233890533447265625,20,0.25652705722980595747254929328237003727295375628677 0.5000000000000000277555756156289135105907917022705078125e-1,2.100000000000000088817841970012523233890533447265625,20.10000000000000142108547152020037174224853515625,0.25833794101853859844251005295197660192071838895645 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-0.5000000000000000277555756156289135105907917022705078125e-1,3,50,0.48543047783697964773966499063991391302081641663506 +0.5000000000000000277555756156289135105907917022705078125e-1,3,50,0.48543047783697964773966499063991391302081641663507 0.5000000000000000277555756156289135105907917022705078125e-1,3,50.10000000000000142108547152020037174224853515625,0.48671294310323891058602505167522681793811859408927 0.5000000000000000277555756156289135105907917022705078125e-1,3,50.5,0.49182714980834051085580036242309393579225611885483 0.5000000000000000277555756156289135105907917022705078125e-1,3,99.5,0.88777856256037217232783209889507732837933294335665 @@ -446,7 +446,7 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,14,14.199999999999999289457264239899814128875732421875,0.0000000000075118467225454582066439577148203744206856029618037 0.5000000000000000277555756156289135105907917022705078125e-1,14,14.9000000000000003552713678800500929355621337890625,0.000000000011787371749519395108425935823952612473607502914205 0.5000000000000000277555756156289135105907917022705078125e-1,14,19.89999999999999857891452847979962825775146484375,0.00000000019220054122478707610909327943759096270664140186034 -0.5000000000000000277555756156289135105907917022705078125e-1,14,20,0.00000000020194475939062411926752754548497154102505398557890 +0.5000000000000000277555756156289135105907917022705078125e-1,14,20,0.0000000002019447593906241192675275454849715410250539855789 0.5000000000000000277555756156289135105907917022705078125e-1,14,20.10000000000000142108547152020037174224853515625,0.00000000021213756672984879288611513279752841288595681160226 0.5000000000000000277555756156289135105907917022705078125e-1,14,49.5,0.0000020099177241232258384343823402593947490607116908273 0.5000000000000000277555756156289135105907917022705078125e-1,14,49.89999999999999857891452847979962825775146484375,0.0000021801083729476987307445964745285794579247014302387 @@ -456,13 +456,13 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,14,99.5,0.0015048787651799952621618502940936911566181955760951 0.5000000000000000277555756156289135105907917022705078125e-1,14,99.900000000000005684341886080801486968994140625,0.0015573102890776433785863172982843333172876682389398 0.5000000000000000277555756156289135105907917022705078125e-1,14,100,0.0015706530220128201387011525401433043903527232606205 -0.5000000000000000277555756156289135105907917022705078125e-1,14,100.099999999999994315658113919198513031005859375,0.0015840907304226765808848747840362910012705192738740 +0.5000000000000000277555756156289135105907917022705078125e-1,14,100.099999999999994315658113919198513031005859375,0.001584090730422676580884874784036291001270519273874 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-0.5000000000000000277555756156289135105907917022705078125e-1,14.0999999999999996447286321199499070644378662109375,0.200000000000000011102230246251565404236316680908203125,1.2255853419034900308047202757366912713005336604220e-20 +0.5000000000000000277555756156289135105907917022705078125e-1,14.0999999999999996447286321199499070644378662109375,0.200000000000000011102230246251565404236316680908203125,1.225585341903490030804720275736691271300533660422e-20 0.5000000000000000277555756156289135105907917022705078125e-1,14.0999999999999996447286321199499070644378662109375,0.299999999999999988897769753748434595763683319091796875,2.4345250848915662074772324742210602038367255267895e-20 0.5000000000000000277555756156289135105907917022705078125e-1,14.0999999999999996447286321199499070644378662109375,0.5,6.8996585360659167918965387255890060143569418756044e-20 0.5000000000000000277555756156289135105907917022705078125e-1,14.0999999999999996447286321199499070644378662109375,1,4.5235256903500310437074773391604242189581723581467e-19 @@ -482,7 +482,7 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,14.0999999999999996447286321199499070644378662109375,20,0.00000000016263141032902906416664253100731189403779102657729 0.5000000000000000277555756156289135105907917022705078125e-1,14.0999999999999996447286321199499070644378662109375,20.10000000000000142108547152020037174224853515625,0.00000000017089035430971987537562453892882294990450414605718 0.5000000000000000277555756156289135105907917022705078125e-1,14.0999999999999996447286321199499070644378662109375,49.5,0.0000017226132817757885198269575403411217673201686576459 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0.5000000000000000277555756156289135105907917022705078125e-1,14.0999999999999996447286321199499070644378662109375,50.5,0.0000021111940466143690115147314243424086189616301691092 @@ -498,7 +498,7 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,14.199999999999999289457264239899814128875732421875,0.200000000000000011102230246251565404236316680908203125,9.0325560111553551941343232993116890927974475400317e-21 0.5000000000000000277555756156289135105907917022705078125e-1,14.199999999999999289457264239899814128875732421875,0.299999999999999988897769753748434595763683319091796875,1.7955300742523893331741446365300291705456183320373e-20 0.5000000000000000277555756156289135105907917022705078125e-1,14.199999999999999289457264239899814128875732421875,0.5,5.0959131846439966416074322841232938595200733602562e-20 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arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,14.9000000000000003552713678800500929355621337890625,1,4.1176844716600433199980273990751184130746364619262e-20 0.5000000000000000277555756156289135105907917022705078125e-1,14.9000000000000003552713678800500929355621337890625,1.100000000000000088817841970012523233890533447265625,5.6640676689324641818850589138124454517591919533043e-20 0.5000000000000000277555756156289135105907917022705078125e-1,14.9000000000000003552713678800500929355621337890625,1.5,1.7946173903722597357061770009967219607879545826587e-19 -0.5000000000000000277555756156289135105907917022705078125e-1,14.9000000000000003552713678800500929355621337890625,1.899999999999999911182158029987476766109466552734375,4.9302066089723399143064692993776322149528914632620e-19 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0.5000000000000000277555756156289135105907917022705078125e-1,14.9000000000000003552713678800500929355621337890625,2.5,1.8701883982785532367550199378258283927756552713508e-18 -0.5000000000000000277555756156289135105907917022705078125e-1,14.9000000000000003552713678800500929355621337890625,2.899999999999999911182158029987476766109466552734375,4.1551180486232380141731417792546997495302592634080e-18 +0.5000000000000000277555756156289135105907917022705078125e-1,14.9000000000000003552713678800500929355621337890625,2.899999999999999911182158029987476766109466552734375,4.155118048623238014173141779254699749530259263408e-18 0.5000000000000000277555756156289135105907917022705078125e-1,14.9000000000000003552713678800500929355621337890625,3,5.0260719163467558989585485169383140579328899782696e-18 0.5000000000000000277555756156289135105907917022705078125e-1,14.9000000000000003552713678800500929355621337890625,14,0.00000000000077785696719771940734118356439699809158082852632345 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0.5000000000000000277555756156289135105907917022705078125e-1,14.9000000000000003552713678800500929355621337890625,49.5,0.00000049256327555614920911209973907667487457512596349852 0.5000000000000000277555756156289135105907917022705078125e-1,14.9000000000000003552713678800500929355621337890625,49.89999999999999857891452847979962825775146484375,0.00000053724549283225052160764798714990914450943515187775 0.5000000000000000277555756156289135105907917022705078125e-1,14.9000000000000003552713678800500929355621337890625,50,0.00000054897111450961680703027557489432406038870656653168 @@ -564,7 +564,7 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,19.89999999999999857891452847979962825775146484375,0.200000000000000011102230246251565404236316680908203125,2.6529106684563782315779826956214237396210236831039e-28 0.5000000000000000277555756156289135105907917022705078125e-1,19.89999999999999857891452847979962825775146484375,0.299999999999999988897769753748434595763683319091796875,5.4568031178440016689306973276201758929625374694435e-28 0.5000000000000000277555756156289135105907917022705078125e-1,19.89999999999999857891452847979962825775146484375,0.5,1.6571693826039873865594115069450205069594805568298e-27 -0.5000000000000000277555756156289135105907917022705078125e-1,19.89999999999999857891452847979962825775146484375,1,1.2867763973937707422186840315107477940455033848850e-26 +0.5000000000000000277555756156289135105907917022705078125e-1,19.89999999999999857891452847979962825775146484375,1,1.286776397393770742218684031510747794045503384885e-26 0.5000000000000000277555756156289135105907917022705078125e-1,19.89999999999999857891452847979962825775146484375,1.100000000000000088817841970012523233890533447265625,1.8201932660312510467606469648540848570659232891005e-26 0.5000000000000000277555756156289135105907917022705078125e-1,19.89999999999999857891452847979962825775146484375,1.5,6.4393453655271877628004852929928155341379501841614e-26 0.5000000000000000277555756156289135105907917022705078125e-1,19.89999999999999857891452847979962825775146484375,1.899999999999999911182158029987476766109466552734375,1.9704730799886072437520675789778482168127856734185e-25 @@ -573,13 +573,13 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,19.89999999999999857891452847979962825775146484375,2.5,8.7494624645814096071537619449934053064568150513835e-25 0.5000000000000000277555756156289135105907917022705078125e-1,19.89999999999999857891452847979962825775146484375,2.899999999999999911182158029987476766109466552734375,2.1532355185779221235187775477072759177539293461066e-24 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0.5000000000000000277555756156289135105907917022705078125e-1,49.5,2.100000000000000088817841970012523233890533447265625,2.6876153662170610830605052053179044949691226947798e-63 @@ -675,13 +675,13 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,49.5,14,1.9286756232728304306405215267434929385154390464293e-52 0.5000000000000000277555756156289135105907917022705078125e-1,49.5,14.0999999999999996447286321199499070644378662109375,2.2379101565702035264295079708199933959429722463807e-52 0.5000000000000000277555756156289135105907917022705078125e-1,49.5,14.199999999999999289457264239899814128875732421875,2.5952293216099678401295724083458543101329593272392e-52 -0.5000000000000000277555756156289135105907917022705078125e-1,49.5,14.9000000000000003552713678800500929355621337890625,7.2057547367959095996260291355025316175918145528596e-52 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0.5000000000000000277555756156289135105907917022705078125e-1,49.89999999999999857891452847979962825775146484375,2.899999999999999911182158029987476766109466552734375,1.0599883941780524844684284283365319014603119153054e-62 0.5000000000000000277555756156289135105907917022705078125e-1,49.89999999999999857891452847979962825775146484375,3,1.4315406694935764789672201099148133706618705235424e-62 0.5000000000000000277555756156289135105907917022705078125e-1,49.89999999999999857891452847979962825775146484375,14,6.3797683196329385202163536537013423022137887087225e-53 @@ -712,7 +712,7 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,49.89999999999999857891452847979962825775146484375,19.89999999999999857891452847979962825775146484375,1.8288873491488661510585183174373829740805248326086e-49 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0.5000000000000000277555756156289135105907917022705078125e-1,49.89999999999999857891452847979962825775146484375,50,4.8188461260833088983451818902096370903913199680794e-38 0.5000000000000000277555756156289135105907917022705078125e-1,49.89999999999999857891452847979962825775146484375,50.10000000000000142108547152020037174224853515625,5.1406511454621168338227969130805976947014498202915e-38 @@ -721,23 +721,23 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,49.89999999999999857891452847979962825775146484375,99.900000000000005684341886080801486968994140625,9.6617909927699860749338767583635186870014262343546e-28 0.5000000000000000277555756156289135105907917022705078125e-1,49.89999999999999857891452847979962825775146484375,100,1.0012433824523065371513058149568917649190837679611e-27 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-0.5000000000000000277555756156289135105907917022705078125e-1,49.89999999999999857891452847979962825775146484375,500,0.000045795754874649325914188056090543740706461283195990 +0.5000000000000000277555756156289135105907917022705078125e-1,49.89999999999999857891452847979962825775146484375,500,0.00004579575487464932591418805609054374070646128319599 0.5000000000000000277555756156289135105907917022705078125e-1,50,0.1000000000000000055511151231257827021181583404541015625,2.8862942654980314051422363435912147305566135605983e-68 0.5000000000000000277555756156289135105907917022705078125e-1,50,0.200000000000000011102230246251565404236316680908203125,8.7942441945818178417966355172068274699836534291571e-68 0.5000000000000000277555756156289135105907917022705078125e-1,50,0.299999999999999988897769753748434595763683319091796875,1.9846738140518501225206115632956566744185671398405e-67 0.5000000000000000277555756156289135105907917022705078125e-1,50,0.5,7.2488471971496148002108536531177845300104661682903e-67 -0.5000000000000000277555756156289135105907917022705078125e-1,50,1,8.8817841970012769752923415013790087770410616190330e-66 -0.5000000000000000277555756156289135105907917022705078125e-1,50,1.100000000000000088817841970012523233890533447265625,1.3751481729943615448448982005306865796774130521700e-65 +0.5000000000000000277555756156289135105907917022705078125e-1,50,1,8.881784197001276975292341501379008777041061619033e-66 +0.5000000000000000277555756156289135105907917022705078125e-1,50,1.100000000000000088817841970012523233890533447265625,1.3751481729943615448448982005306865796774130521701e-65 0.5000000000000000277555756156289135105907917022705078125e-1,50,1.5,6.9624431132187097268694975591643364952264381114271e-65 0.5000000000000000277555756156289135105907917022705078125e-1,50,1.899999999999999911182158029987476766109466552734375,3.0354020316913690787428008446935252551914103931491e-64 0.5000000000000000277555756156289135105907917022705078125e-1,50,2,4.3076653355456193206908339840904755859183668725367e-64 0.5000000000000000277555756156289135105907917022705078125e-1,50,2.100000000000000088817841970012523233890533447265625,6.0750424643994591917784215113162572907924884976483e-64 0.5000000000000000277555756156289135105907917022705078125e-1,50,2.5,2.2732615905577542338048814445396711345829649349325e-63 0.5000000000000000277555756156289135105907917022705078125e-1,50,2.899999999999999911182158029987476766109466552734375,7.8850043867331003333875430555269797361242624447238e-63 -0.5000000000000000277555756156289135105907917022705078125e-1,50,3,1.0650924586741468771856553894217530722226288294910e-62 +0.5000000000000000277555756156289135105907917022705078125e-1,50,3,1.065092458674146877185655389421753072222628829491e-62 0.5000000000000000277555756156289135105907917022705078125e-1,50,14,4.8377912544042168640369201748078585591066013613874e-53 0.5000000000000000277555756156289135105907917022705078125e-1,50,14.0999999999999996447286321199499070644378662109375,5.6178891545356241619907163019073825146981081971261e-53 0.5000000000000000277555756156289135105907917022705078125e-1,50,14.199999999999999289457264239899814128875732421875,6.5200106012696490961763856322674020022774085854583e-53 @@ -746,23 +746,23 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,50,20,1.5811538402934800734572233977663941740197417285612e-49 0.5000000000000000277555756156289135105907917022705078125e-1,50,20.10000000000000142108547152020037174224853515625,1.7860879612500601992876154668395322458481466721405e-49 0.5000000000000000277555756156289135105907917022705078125e-1,50,49.5,2.7606520497272495385766465922038907894096833630709e-38 -0.5000000000000000277555756156289135105907917022705078125e-1,50,49.89999999999999857891452847979962825775146484375,3.5818384074840610447104073992495270643614191971010e-38 +0.5000000000000000277555756156289135105907917022705078125e-1,50,49.89999999999999857891452847979962825775146484375,3.581838407484061044710407399249527064361419197101e-38 0.5000000000000000277555756156289135105907917022705078125e-1,50,50,3.8218064995398543209694383931111331533626277457265e-38 0.5000000000000000277555756156289135105907917022705078125e-1,50,50.10000000000000142108547152020037174224853515625,4.0774375601436744836250982113099509927245940159888e-38 0.5000000000000000277555756156289135105907917022705078125e-1,50,50.5,5.2774442907370665847621672304296807069648667155318e-38 0.5000000000000000277555756156289135105907917022705078125e-1,50,99.5,6.9151561679725330553813674305690271863531607682723e-28 0.5000000000000000277555756156289135105907917022705078125e-1,50,99.900000000000005684341886080801486968994140625,7.9798060007593506824939260419925464948955432148715e-28 -0.5000000000000000277555756156289135105907917022705078125e-1,50,100,8.2699582153234506552394656852536708859483068089874e-28 -0.5000000000000000277555756156289135105907917022705078125e-1,50,100.099999999999994315658113919198513031005859375,8.5703726312241718150396163623842594549213913148730e-28 +0.5000000000000000277555756156289135105907917022705078125e-1,50,100,8.2699582153234506552394656852536708859483068089875e-28 +0.5000000000000000277555756156289135105907917022705078125e-1,50,100.099999999999994315658113919198513031005859375,8.570372631224171815039616362384259454921391314873e-28 0.5000000000000000277555756156289135105907917022705078125e-1,50,100.5,9.8818857587059216576836341448037110886289683149848e-28 -0.5000000000000000277555756156289135105907917022705078125e-1,50,120,5.6928413204561569350570562508252177329186111726623e-25 -0.5000000000000000277555756156289135105907917022705078125e-1,50,150,1.7117696648332449819432753546611240705734661552900e-21 -0.5000000000000000277555756156289135105907917022705078125e-1,50,500,0.000043013495520916795661493777044089422160794872136450 +0.5000000000000000277555756156289135105907917022705078125e-1,50,120,5.6928413204561569350570562508252177329186111726622e-25 +0.5000000000000000277555756156289135105907917022705078125e-1,50,150,1.71176966483324498194327535466112407057346615529e-21 +0.5000000000000000277555756156289135105907917022705078125e-1,50,500,0.00004301349552091679566149377704408942216079487213645 0.5000000000000000277555756156289135105907917022705078125e-1,50.10000000000000142108547152020037174224853515625,0.1000000000000000055511151231257827021181583404541015625,2.1352967005400217857964139290431201728671778210243e-68 0.5000000000000000277555756156289135105907917022705078125e-1,50.10000000000000142108547152020037174224853515625,0.200000000000000011102230246251565404236316680908203125,6.5073390634289969895692717279404621695364653758862e-68 0.5000000000000000277555756156289135105907917022705078125e-1,50.10000000000000142108547152020037174224853515625,0.299999999999999988897769753748434595763683319091796875,1.4688625981131485330498147622237226675440790706833e-67 0.5000000000000000277555756156289135105907917022705078125e-1,50.10000000000000142108547152020037174224853515625,0.5,5.3670382351590887482810239247282054293350344445594e-67 -0.5000000000000000277555756156289135105907917022705078125e-1,50.10000000000000142108547152020037174224853515625,1,6.5825962379313074221619561453119788262580528484600e-66 +0.5000000000000000277555756156289135105907917022705078125e-1,50.10000000000000142108547152020037174224853515625,1,6.58259623793130742216195614531197882625805284846e-66 0.5000000000000000277555756156289135105907917022705078125e-1,50.10000000000000142108547152020037174224853515625,1.100000000000000088817841970012523233890533447265625,1.0193709085692078793299325272089581309650717779844e-65 0.5000000000000000277555756156289135105907917022705078125e-1,50.10000000000000142108547152020037174224853515625,1.5,5.1651824570713455577349682792626806610390339658943e-65 0.5000000000000000277555756156289135105907917022705078125e-1,50.10000000000000142108547152020037174224853515625,1.899999999999999911182158029987476766109466552734375,2.2536103577871285659010695954580133595665215530065e-64 @@ -787,7 +787,7 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,50.10000000000000142108547152020037174224853515625,99.900000000000005684341886080801486968994140625,6.5897736147731922445063172409131478276732007184097e-28 0.5000000000000000277555756156289135105907917022705078125e-1,50.10000000000000142108547152020037174224853515625,100,6.8298382721296573140962294761587739667754005091852e-28 0.5000000000000000277555756156289135105907917022705078125e-1,50.10000000000000142108547152020037174224853515625,100.099999999999994315658113919198513031005859375,7.0784103013347595145472968681168696039982634293777e-28 -0.5000000000000000277555756156289135105907917022705078125e-1,50.10000000000000142108547152020037174224853515625,100.5,8.1637811945602216510740793434622521217880879745770e-28 +0.5000000000000000277555756156289135105907917022705078125e-1,50.10000000000000142108547152020037174224853515625,100.5,8.163781194560221651074079343462252121788087974577e-28 0.5000000000000000277555756156289135105907917022705078125e-1,50.10000000000000142108547152020037174224853515625,120,4.7606412607390446889676954137349834237701198918802e-25 0.5000000000000000277555756156289135105907917022705078125e-1,50.10000000000000142108547152020037174224853515625,150,1.4548643115801614164800445747316789063876978252815e-21 0.5000000000000000277555756156289135105907917022705078125e-1,50.10000000000000142108547152020037174224853515625,500,0.000040393415578060267353861642710817280945763604488367 @@ -796,14 +796,14 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,50.5,0.299999999999999988897769753748434595763683319091796875,4.4071849005302154215835779804174432374234244348526e-68 0.5000000000000000277555756156289135105907917022705078125e-1,50.5,0.5,1.6128953134529628935735608011567088595786869699078e-67 0.5000000000000000277555756156289135105907917022705078125e-1,50.5,1,1.9860273225978239651183004871130730737835683761095e-66 -0.5000000000000000277555756156289135105907917022705078125e-1,50.5,1.100000000000000088817841970012523233890533447265625,3.0779496341920583115689590932466987307798149646040e-66 +0.5000000000000000277555756156289135105907917022705078125e-1,50.5,1.100000000000000088817841970012523233890533447265625,3.077949634192058311568959093246698730779814964604e-66 0.5000000000000000277555756156289135105907917022705078125e-1,50.5,1.5,1.5644920117070191968155553102309434158859371966489e-65 0.5000000000000000277555756156289135105907917022705078125e-1,50.5,1.899999999999999911182158029987476766109466552734375,6.8472212228736630577942224152734592984754717212789e-65 0.5000000000000000277555756156289135105907917022705078125e-1,50.5,2,9.7265688124228428413295942144664603183434345021418e-65 0.5000000000000000277555756156289135105907917022705078125e-1,50.5,2.100000000000000088817841970012523233890533447265625,1.3730482046333551700010389729957138664628427568334e-64 0.5000000000000000277555756156289135105907917022705078125e-1,50.5,2.5,5.1576618803598432093216324652889137123819827261256e-64 0.5000000000000000277555756156289135105907917022705078125e-1,50.5,2.899999999999999911182158029987476766109466552734375,1.7958069704923329940572449533208463408579833941416e-63 -0.5000000000000000277555756156289135105907917022705078125e-1,50.5,3,2.4280443904841170829171462889138529192085931459410e-63 +0.5000000000000000277555756156289135105907917022705078125e-1,50.5,3,2.428044390484117082917146288913852919208593145941e-63 0.5000000000000000277555756156289135105907917022705078125e-1,50.5,14,1.2122608005756630379765627885724579594231973165997e-53 0.5000000000000000277555756156289135105907917022705078125e-1,50.5,14.0999999999999996447286321199499070644378662109375,1.4088410865633042097092801905341692540577903499189e-53 0.5000000000000000277555756156289135105907917022705078125e-1,50.5,14.199999999999999289457264239899814128875732421875,1.6363511930880700974683003766251484468576221660356e-53 @@ -817,7 +817,7 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,50.5,50.10000000000000142108547152020037174224853515625,1.2782110685299003514386101320235081998436201959613e-38 0.5000000000000000277555756156289135105907917022705078125e-1,50.5,50.5,1.6576969890063274183124098847832948220130928726192e-38 0.5000000000000000277555756156289135105907917022705078125e-1,50.5,99.5,2.6488133389736304873144811156313662350716835926821e-28 -0.5000000000000000277555756156289135105907917022705078125e-1,50.5,99.900000000000005684341886080801486968994140625,3.0607000144761330310308058484048823746261606437880e-28 +0.5000000000000000277555756156289135105907917022705078125e-1,50.5,99.900000000000005684341886080801486968994140625,3.060700014476133031030805848404882374626160643788e-28 0.5000000000000000277555756156289135105907917022705078125e-1,50.5,100,3.1730452981363262546848966784785257951545223606922e-28 0.5000000000000000277555756156289135105907917022705078125e-1,50.5,100.099999999999994315658113919198513031005859375,3.2894030397677587809140946238761606778223610455437e-28 0.5000000000000000277555756156289135105907917022705078125e-1,50.5,100.5,3.7978163215034654199267979640562928024541621011652e-28 @@ -825,7 +825,7 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,50.5,150,7.5805097199405063131075631011225529613632934532175e-22 0.5000000000000000277555756156289135105907917022705078125e-1,50.5,500,0.000031361718709857296728781511243571582706453541036268 0.5000000000000000277555756156289135105907917022705078125e-1,99.5,0.1000000000000000055511151231257827021181583404541015625,6.1770557469848204389560335068650633227305781328591e-133 -0.5000000000000000277555756156289135105907917022705078125e-1,99.5,0.200000000000000011102230246251565404236316680908203125,2.0167600203196868624649328928877244245549569942820e-132 +0.5000000000000000277555756156289135105907917022705078125e-1,99.5,0.200000000000000011102230246251565404236316680908203125,2.016760020319686862464932892887724424554956994282e-132 0.5000000000000000277555756156289135105907917022705078125e-1,99.5,0.299999999999999988897769753748434595763683319091796875,4.8765875598517639907772224616286721443552995017325e-132 0.5000000000000000277555756156289135105907917022705078125e-1,99.5,0.5,2.0441271772280814793109958264155936999412466816461e-131 0.5000000000000000277555756156289135105907917022705078125e-1,99.5,1,3.5278932177324218017218806762195627502817309602227e-130 @@ -833,7 +833,7 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,99.5,1.5,3.8858750726952905095710027172840968592286752271959e-129 0.5000000000000000277555756156289135105907917022705078125e-1,99.5,1.899999999999999911182158029987476766109466552734375,2.2200217118862692458943009399302883779263578579567e-128 0.5000000000000000277555756156289135105907917022705078125e-1,99.5,2,3.3700199962388959163519151725793924468063095702976e-128 -0.5000000000000000277555756156289135105907917022705078125e-1,99.5,2.100000000000000088817841970012523233890533447265625,5.0833267998283310361120929040150378733169856387291e-128 +0.5000000000000000277555756156289135105907917022705078125e-1,99.5,2.100000000000000088817841970012523233890533447265625,5.0833267998283310361120929040150378733169856387292e-128 0.5000000000000000277555756156289135105907917022705078125e-1,99.5,2.5,2.4869668246448590379692194313037051581054417948118e-127 0.5000000000000000277555756156289135105907917022705078125e-1,99.5,2.899999999999999911182158029987476766109466552734375,1.1261407281460623292886237001311536992455976525444e-126 0.5000000000000000277555756156289135105907917022705078125e-1,99.5,3,1.6256222154187817440050225268120635121643285050824e-126 @@ -844,7 +844,7 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,99.5,19.89999999999999857891452847979962825775146484375,5.0768756452702274745578327483147941752246827498053e-109 0.5000000000000000277555756156289135105907917022705078125e-1,99.5,20,6.0538508739617047942705605074667632721654499717427e-109 0.5000000000000000277555756156289135105907917022705078125e-1,99.5,20.10000000000000142108547152020037174224853515625,7.2157377465108217672824553692237633269602841179278e-109 -0.5000000000000000277555756156289135105907917022705078125e-1,99.5,49.5,9.5176736603206098227633262293266213467979922922986e-92 +0.5000000000000000277555756156289135105907917022705078125e-1,99.5,49.5,9.5176736603206098227633262293266213467979922922987e-92 0.5000000000000000277555756156289135105907917022705078125e-1,99.5,49.89999999999999857891452847979962825775146484375,1.4516088812384568305267671452065826750600143748942e-91 0.5000000000000000277555756156289135105907917022705078125e-1,99.5,50,1.6126200804375926446519663351094626073280183894212e-91 0.5000000000000000277555756156289135105907917022705078125e-1,99.5,50.10000000000000142108547152020037174224853515625,1.7912488522844384637423422359574327270035354699312e-91 @@ -859,12 +859,12 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,99.5,500,1.3833809257411973162331884793296114089946574884942e-25 0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,0.1000000000000000055511151231257827021181583404541015625,1.8569617348333436085382384132041993584191669075889e-133 0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,0.200000000000000011102230246251565404236316680908203125,6.0652739354931183574000507407417558085382824253775e-133 -0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,0.299999999999999988897769753748434595763683319091796875,1.4671915283463948652809652082406822654591685062110e-132 +0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,0.299999999999999988897769753748434595763683319091796875,1.467191528346394865280965208240682265459168506211e-132 0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,0.5,6.1549899069811492640204570299528052082067184004222e-132 0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,1,1.0643964886149395168371781414061855567394556135292e-130 -0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,1.100000000000000088817841970012523233890533447265625,1.7650334242734366983255103683911019247966926113510e-130 +0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,1.100000000000000088817841970012523233890533447265625,1.765033424273436698325510368391101924796692611351e-130 0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,1.5,1.1747381672028669999613670709074023923683898107968e-129 -0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,1.899999999999999911182158029987476766109466552734375,6.7219886603101513206819661421747410875010075025550e-129 +0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,1.899999999999999911182158029987476766109466552734375,6.721988660310151320681966142174741087501007502555e-129 0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,2,1.0208094524061577981500949322585554838047063545333e-128 0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,2.100000000000000088817841970012523233890533447265625,1.5403936427988008591128553932596554871197352097782e-128 0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,2.5,7.5481047134190599282870388167508046657062071843776e-128 @@ -875,16 +875,16 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,14.199999999999999289457264239899814128875732421875,3.1571446646046190408242914994895966649017555223498e-114 0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,14.9000000000000003552713678800500929355621337890625,1.3187273173913069076435614990931556318243612776254e-113 0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,19.89999999999999857891452847979962825775146484375,1.6412879410346390173036125127951999207667944176436e-109 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0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,50,5.7047276590182217597206984325252315014607492005127e-92 0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,50.10000000000000142108547152020037174224853515625,6.3383333588294170069043149974571729610159505525743e-92 -0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,50.5,9.6461103825981069673327521736114906227725825882460e-92 +0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,50.5,9.646110382598106967332752173611490622772582588246e-92 0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,99.5,2.1409157919552389046330792672629400838591312346846e-74 -0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,99.900000000000005684341886080801486968994140625,2.7720928175704525078257455777739315315916567287643e-74 -0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,100,2.9566844880106854487170008963407054365880836299120e-74 +0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,99.900000000000005684341886080801486968994140625,2.7720928175704525078257455777739315315916567287644e-74 +0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,100,2.956684488010685448717000896340705436588083629912e-74 0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,100.099999999999994315658113919198513031005859375,3.1534092121830507313841505129266621050839943394241e-74 0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,100.5,4.0781549745493070026679391253097784136869144527733e-74 0.5000000000000000277555756156289135105907917022705078125e-1,99.900000000000005684341886080801486968994140625,120,4.6784415441609858984716522742469224460540275347109e-69 @@ -897,7 +897,7 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,100,1,7.8886090522101618446942958034816564977558105488955e-131 0.5000000000000000277555756156289135105907917022705078125e-1,100,1.100000000000000088817841970012523233890533447265625,1.3082571743757487477230348271815609676428471258422e-130 0.5000000000000000277555756156289135105907917022705078125e-1,100,1.5,8.7107109775166251635648340388672372630447369883155e-130 -0.5000000000000000277555756156289135105907917022705078125e-1,100,1.899999999999999911182158029987476766109466552734375,4.9863407363505517104652667661475890109408207666000e-129 +0.5000000000000000277555756156289135105907917022705078125e-1,100,1.899999999999999911182158029987476766109466552734375,4.9863407363505517104652667661475890109408207666e-129 0.5000000000000000277555756156289135105907917022705078125e-1,100,2,7.5730646901217553490112354662670019613951576622768e-129 0.5000000000000000277555756156289135105907917022705078125e-1,100,2.100000000000000088817841970012523233890533447265625,1.1428821934433134181579654241394322334667426797194e-128 0.5000000000000000277555756156289135105907917022705078125e-1,100,2.5,5.6024540626121269267613215004550245370846536589344e-128 @@ -917,10 +917,10 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,100,50.5,7.4411045643553963823453342539717243626916893899761e-92 0.5000000000000000277555756156289135105907917022705078125e-1,100,99.5,1.6988405926622459065962376875236503603359305026459e-74 0.5000000000000000277555756156289135105907917022705078125e-1,100,99.900000000000005684341886080801486968994140625,2.2001279678535692262060023295231998272678488890447e-74 -0.5000000000000000277555756156289135105907917022705078125e-1,100,100,2.3467504628890210705777487888093928863367543650860e-74 +0.5000000000000000277555756156289135105907917022705078125e-1,100,100,2.346750462889021070577748788809392886336754365086e-74 0.5000000000000000277555756156289135105907917022705078125e-1,100,100.099999999999994315658113919198513031005859375,2.5030181896224960039580103398723577890578665488324e-74 -0.5000000000000000277555756156289135105907917022705078125e-1,100,100.5,3.2376825698561647554299944063532274839906654872970e-74 -0.5000000000000000277555756156289135105907917022705078125e-1,100,120,3.7489380659068352469974061534626349971961992196240e-69 +0.5000000000000000277555756156289135105907917022705078125e-1,100,100.5,3.237682569856164755429994406353227483990665487297e-74 +0.5000000000000000277555756156289135105907917022705078125e-1,100,120,3.748938065906835246997406153462634997196199219624e-69 0.5000000000000000277555756156289135105907917022705078125e-1,100,150,1.4917962795072534791370094491972214927047324210969e-62 0.5000000000000000277555756156289135105907917022705078125e-1,100,500,7.5498590038085772067837717260993725714153630450835e-26 0.5000000000000000277555756156289135105907917022705078125e-1,100.099999999999994315658113919198513031005859375,0.1000000000000000055511151231257827021181583404541015625,1.0181599734931383440494392487543524353501407606868e-133 @@ -930,7 +930,7 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,100.099999999999994315658113919198513031005859375,1,5.8465199241299588534240752845445924656547147488291e-131 0.5000000000000000277555756156289135105907917022705078125e-1,100.099999999999994315658113919198513031005859375,1.100000000000000088817841970012523233890533447265625,9.6969079546038939962036708766966007875157610734518e-131 0.5000000000000000277555756156289135105907917022705078125e-1,100.099999999999994315658113919198513031005859375,1.5,6.4590093789482247692967645258441705355431997954388e-130 -0.5000000000000000277555756156289135105907917022705078125e-1,100.099999999999994315658113919198513031005859375,1.899999999999999911182158029987476766109466552734375,3.6988417059804755573559085290697291329333893200220e-129 +0.5000000000000000277555756156289135105907917022705078125e-1,100.099999999999994315658113919198513031005859375,1.899999999999999911182158029987476766109466552734375,3.698841705980475557355908529069729132933389320022e-129 0.5000000000000000277555756156289135105907917022705078125e-1,100.099999999999994315658113919198513031005859375,2,5.6182133210926836282349133287420610481540573297026e-129 0.5000000000000000277555756156289135105907917022705078125e-1,100.099999999999994315658113919198513031005859375,2.100000000000000088817841970012523233890533447265625,8.4795098224549154968922256607666049746930916806779e-129 0.5000000000000000277555756156289135105907917022705078125e-1,100.099999999999994315658113919198513031005859375,2.5,4.1583214377853249683115878289934234595825873534133e-128 @@ -952,11 +952,11 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,100.099999999999994315658113919198513031005859375,99.900000000000005684341886080801486968994140625,1.7460904226955523363270011601497962982507870425734e-74 0.5000000000000000277555756156289135105907917022705078125e-1,100.099999999999994315658113919198513031005859375,100,1.8625478763061560070979261952660948604938209427621e-74 0.5000000000000000277555756156289135105907917022705078125e-1,100.099999999999994315658113919198513031005859375,100.099999999999994315658113919198513031005859375,1.9866724618971749502718542050135833033724343699605e-74 -0.5000000000000000277555756156289135105907917022705078125e-1,100.099999999999994315658113919198513031005859375,100.5,2.5702972896585230792400989068186019889694695488330e-74 +0.5000000000000000277555756156289135105907917022705078125e-1,100.099999999999994315658113919198513031005859375,100.5,2.570297289658523079240098906818601988969469548833e-74 0.5000000000000000277555756156289135105907917022705078125e-1,100.099999999999994315658113919198513031005859375,120,3.0039448451635344105608866633486190390412185716426e-69 0.5000000000000000277555756156289135105907917022705078125e-1,100.099999999999994315658113919198513031005859375,150,1.2107316579622660724278708816372111333362487584773e-62 0.5000000000000000277555756156289135105907917022705078125e-1,100.099999999999994315658113919198513031005859375,500,6.6869982372068422377030023119591743441920881116867e-26 -0.5000000000000000277555756156289135105907917022705078125e-1,100.5,0.1000000000000000055511151231257827021181583404541015625,3.0608836074527990177389368797286763404851811316950e-134 +0.5000000000000000277555756156289135105907917022705078125e-1,100.5,0.1000000000000000055511151231257827021181583404541015625,3.060883607452799017738936879728676340485181131695e-134 0.5000000000000000277555756156289135105907917022705078125e-1,100.5,0.200000000000000011102230246251565404236316680908203125,1.0003572278366327510647408415144410886591505666857e-133 0.5000000000000000277555756156289135105907917022705078125e-1,100.5,0.299999999999999988897769753748434595763683319091796875,2.4213193721938206854740220831035351542841050469623e-133 0.5000000000000000277555756156289135105907917022705078125e-1,100.5,0.5,1.0169813153812685881959242992316107570543624929465e-132 @@ -983,7 +983,7 @@ arg0,arg1,arg2,expectedresult 0.5000000000000000277555756156289135105907917022705078125e-1,100.5,50.5,2.0316561994538334345485519356031014696100155290706e-92 0.5000000000000000277555756156289135105907917022705078125e-1,100.5,99.5,5.3407020879120147751754290119642708749668521100099e-75 0.5000000000000000277555756156289135105907917022705078125e-1,100.5,99.900000000000005684341886080801486968994140625,6.9235473003044718549703368343869844311644760102452e-75 -0.5000000000000000277555756156289135105907917022705078125e-1,100.5,100,7.3867984128241802114784099113829111322533060283860e-75 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0.5000000000000000277555756156289135105907917022705078125e-1,120,2.100000000000000088817841970012523233890533447265625,1.3293271370114381172374887290175182621083102983813e-154 -0.5000000000000000277555756156289135105907917022705078125e-1,120,2.5,7.0008918540789309095744141343280608446316670651893e-154 +0.5000000000000000277555756156289135105907917022705078125e-1,120,2.5,7.0008918540789309095744141343280608446316670651894e-154 0.5000000000000000277555756156289135105907917022705078125e-1,120,2.899999999999999911182158029987476766109466552734375,3.4116191221034285122942980698659159285877991766232e-153 0.5000000000000000277555756156289135105907917022705078125e-1,120,3,5.0158061830943144445296890880531509379389756034772e-153 0.5000000000000000277555756156289135105907917022705078125e-1,120,14,1.3867073238091342078201915894740933271439949175506e-139 @@ -1022,9 +1022,9 @@ arg0,arg1,arg2,expectedresult 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0.5000000000000000277555756156289135105907917022705078125e-1,150,49.89999999999999857891452847979962825775146484375,5.7271922189230196123552464955317289868769657141627e-150 0.5000000000000000277555756156289135105907917022705078125e-1,150,50,6.5508189686268075236247048103008233224495345042587e-150 -0.5000000000000000277555756156289135105907917022705078125e-1,150,50.10000000000000142108547152020037174224853515625,7.4917533849097709100295616592774329009740759710640e-150 +0.5000000000000000277555756156289135105907917022705078125e-1,150,50.10000000000000142108547152020037174224853515625,7.491753384909770910029561659277432900974075971064e-150 0.5000000000000000277555756156289135105907917022705078125e-1,150,50.5,1.2796130010729691843688960911928116984688070415885e-149 0.5000000000000000277555756156289135105907917022705078125e-1,150,99.5,7.0996445752270042316178741971737717471299005816117e-127 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0.1499999999999999944488848768742172978818416595458984375,100.5,99.5,9.5224008120499593449210291079982026407911846601996e-32 0.1499999999999999944488848768742172978818416595458984375,100.5,99.900000000000005684341886080801486968994140625,1.1814678963632778069330847629420513396677396991451e-31 -0.1499999999999999944488848768742172978818416595458984375,100.5,100,1.2467685555899386943683570066059241570383185457070e-31 +0.1499999999999999944488848768742172978818416595458984375,100.5,100,1.246768555589938694368357006605924157038318545707e-31 0.1499999999999999944488848768742172978818416595458984375,100.5,100.099999999999994315658113919198513031005859375,1.3156120464246993917036257600770248009354859992305e-31 0.1499999999999999944488848768742172978818416595458984375,100.5,100.5,1.6303369052295534652381050030327754173484828926402e-31 0.1499999999999999944488848768742172978818416595458984375,100.5,120,2.3309910817096383074662447554081577164945660226903e-27 @@ -3173,7 +3173,7 @@ 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0.200000000000000011102230246251565404236316680908203125,49.5,1.5,1.8056211458915162190141214557472652631975284094132e-34 0.200000000000000011102230246251565404236316680908203125,49.5,1.899999999999999911182158029987476766109466552734375,7.3316621844514963386466571517463473588221482773256e-34 0.200000000000000011102230246251565404236316680908203125,49.5,2,1.0221410233896826731433972030629664792348410567062e-33 -0.200000000000000011102230246251565404236316680908203125,49.5,2.100000000000000088817841970012523233890533447265625,1.4161254995206162075181152153259635874149816647500e-33 +0.200000000000000011102230246251565404236316680908203125,49.5,2.100000000000000088817841970012523233890533447265625,1.41612549952061620751811521532596358741498166475e-33 0.200000000000000011102230246251565404236316680908203125,49.5,2.5,4.9356602611843186473436055412398767126661801766566e-33 0.200000000000000011102230246251565404236316680908203125,49.5,2.899999999999999911182158029987476766109466552734375,1.5946145848879114878606519447033110057635513188299e-32 0.200000000000000011102230246251565404236316680908203125,49.5,3,2.1160836772893991842465455405611976967767961361088e-32 -0.200000000000000011102230246251565404236316680908203125,49.5,14,1.3796627227207440377066032623429941932673618462770e-23 +0.200000000000000011102230246251565404236316680908203125,49.5,14,1.379662722720744037706603262342994193267361846277e-23 0.200000000000000011102230246251565404236316680908203125,49.5,14.0999999999999996447286321199499070644378662109375,1.5742550105309221264682151574401283321302530462007e-23 0.200000000000000011102230246251565404236316680908203125,49.5,14.199999999999999289457264239899814128875732421875,1.7952584643388993543828479084714206622801495172864e-23 0.200000000000000011102230246251565404236316680908203125,49.5,14.9000000000000003552713678800500929355621337890625,4.4326701551942971375482844516168661717768274394163e-23 @@ -3947,7 +3947,7 @@ arg0,arg1,arg2,expectedresult 0.200000000000000011102230246251565404236316680908203125,49.5,20,1.5767605822787016238174252247363124615354456567451e-20 0.200000000000000011102230246251565404236316680908203125,49.5,20.10000000000000142108547152020037174224853515625,1.7502778419501388763082577016531865553224656800038e-20 0.200000000000000011102230246251565404236316680908203125,49.5,49.5,0.000000000016688332292894058155982246785275560163084103809857 -0.200000000000000011102230246251565404236316680908203125,49.5,49.89999999999999857891452847979962825775146484375,0.000000000020215886137569029255385540140708222370555363367300 +0.200000000000000011102230246251565404236316680908203125,49.5,49.89999999999999857891452847979962825775146484375,0.0000000000202158861375690292553855401407082223705553633673 0.200000000000000011102230246251565404236316680908203125,49.5,50,0.000000000021203268724173801457242388132139208295308249220838 0.200000000000000011102230246251565404236316680908203125,49.5,50.10000000000000142108547152020037174224853515625,0.000000000022236639195367656939941245191966202897378872123545 0.200000000000000011102230246251565404236316680908203125,49.5,50.5,0.000000000026872006478402907540089376544148202139618083441784 @@ -3967,7 +3967,7 @@ arg0,arg1,arg2,expectedresult 0.200000000000000011102230246251565404236316680908203125,49.89999999999999857891452847979962825775146484375,1.100000000000000088817841970012523233890533447265625,2.0130949921287663677521373928065257740713713841743e-35 0.200000000000000011102230246251565404236316680908203125,49.89999999999999857891452847979962825775146484375,1.5,9.5225199854605721852507725050687775217663283407116e-35 0.200000000000000011102230246251565404236316680908203125,49.89999999999999857891452847979962825775146484375,1.899999999999999911182158029987476766109466552734375,3.8786992729629899817304079522424150984192516466176e-34 -0.200000000000000011102230246251565404236316680908203125,49.89999999999999857891452847979962825775146484375,2,5.4116837433846065368428727774268211036167603015450e-34 +0.200000000000000011102230246251565404236316680908203125,49.89999999999999857891452847979962825775146484375,2,5.411683743384606536842872777426821103616760301545e-34 0.200000000000000011102230246251565404236316680908203125,49.89999999999999857891452847979962825775146484375,2.100000000000000088817841970012523233890533447265625,7.5034431353240909561665358832200943635962095661726e-34 0.200000000000000011102230246251565404236316680908203125,49.89999999999999857891452847979962825775146484375,2.5,2.6232916187742895613098819557903895488519583873088e-33 0.200000000000000011102230246251565404236316680908203125,49.89999999999999857891452847979962825775146484375,2.899999999999999911182158029987476766109466552734375,8.5013732375652405862549744835893044410650863516439e-33 @@ -3975,7 +3975,7 @@ arg0,arg1,arg2,expectedresult 0.200000000000000011102230246251565404236316680908203125,49.89999999999999857891452847979962825775146484375,14,7.9425167837966566809333515521906909498879330057636e-24 0.200000000000000011102230246251565404236316680908203125,49.89999999999999857891452847979962825775146484375,14.0999999999999996447286321199499070644378662109375,9.0684497755450052137976288874705803845403137730825e-24 0.200000000000000011102230246251565404236316680908203125,49.89999999999999857891452847979962825775146484375,14.199999999999999289457264239899814128875732421875,1.0348020306124662782039886893131062957312896208467e-23 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0.200000000000000011102230246251565404236316680908203125,49.89999999999999857891452847979962825775146484375,20.10000000000000142108547152020037174224853515625,1.0451524304329634248572328935958015507147269728436e-20 @@ -3994,15 +3994,15 @@ arg0,arg1,arg2,expectedresult 0.200000000000000011102230246251565404236316680908203125,49.89999999999999857891452847979962825775146484375,500,0.99999999999907117097931487565650609518610384435416 0.200000000000000011102230246251565404236316680908203125,50,0.1000000000000000055511151231257827021181583404541015625,4.2560851782265988457573318199979299911806998166038e-38 0.200000000000000011102230246251565404236316680908203125,50,0.200000000000000011102230246251565404236316680908203125,1.2751790497478027788513116992942941986193307991172e-37 -0.200000000000000011102230246251565404236316680908203125,50,0.299999999999999988897769753748434595763683319091796875,2.8298591819869183707039713257625116603591300116560e-37 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0.200000000000000011102230246251565404236316680908203125,50,1.899999999999999911182158029987476766109466552734375,3.3079068198772893706207523383812392249474289539255e-34 0.200000000000000011102230246251565404236316680908203125,50,2,4.6161896180547711500000000000172518249685893617948e-34 0.200000000000000011102230246251565404236316680908203125,50,2.100000000000000088817841970012523233890533447265625,6.4017061443829726837304874828466264919365714358162e-34 -0.200000000000000011102230246251565404236316680908203125,50,2.5,2.2398333767378636517748234625167118715587747071400e-33 +0.200000000000000011102230246251565404236316680908203125,50,2.5,2.23983337673786365177482346251671187155877470714e-33 0.200000000000000011102230246251565404236316680908203125,50,2.899999999999999911182158029987476766109466552734375,7.2642309630373506008996501841986834141869968876482e-33 0.200000000000000011102230246251565404236316680908203125,50,3,9.6489622016413142000000000000356997764683342525046e-33 0.200000000000000011102230246251565404236316680908203125,50,14,6.9176836512496864270125289286468939332096615145582e-24 @@ -4024,7 +4024,7 @@ arg0,arg1,arg2,expectedresult 0.200000000000000011102230246251565404236316680908203125,50,100.5,0.000080423251759796169609691997239916976349290008616646 0.200000000000000011102230246251565404236316680908203125,50,120,0.0019115546698249184931347006859414429419817075960236 0.200000000000000011102230246251565404236316680908203125,50,150,0.045639193002795805879837756146621555579859866629706 -0.200000000000000011102230246251565404236316680908203125,50,500,0.99999999999899268441882487166799982807140667658002 +0.200000000000000011102230246251565404236316680908203125,50,500,0.99999999999899268441882487166799982807140667658003 0.200000000000000011102230246251565404236316680908203125,50.10000000000000142108547152020037174224853515625,0.1000000000000000055511151231257827021181583404541015625,3.6169028583831262161201941592487955708655036759967e-38 0.200000000000000011102230246251565404236316680908203125,50.10000000000000142108547152020037174224853515625,0.200000000000000011102230246251565404236316680908203125,1.0838886622539516530925030717979289456142205894121e-37 0.200000000000000011102230246251565404236316680908203125,50.10000000000000142108547152020037174224853515625,0.299999999999999988897769753748434595763683319091796875,2.4058310429294549464673531866592956822250528678364e-37 @@ -4041,7 +4041,7 @@ arg0,arg1,arg2,expectedresult 0.200000000000000011102230246251565404236316680908203125,50.10000000000000142108547152020037174224853515625,14,6.0248450051147873996996915781407188539261341370754e-24 0.200000000000000011102230246251565404236316680908203125,50.10000000000000142108547152020037174224853515625,14.0999999999999996447286321199499070644378662109375,6.8810787966260325552422571627711046867379158265767e-24 0.200000000000000011102230246251565404236316680908203125,50.10000000000000142108547152020037174224853515625,14.199999999999999289457264239899814128875732421875,7.8544590021875760510699042710931593307100333135015e-24 -0.200000000000000011102230246251565404236316680908203125,50.10000000000000142108547152020037174224853515625,14.9000000000000003552713678800500929355621337890625,1.9520529057407524569241622433983345086425188636350e-23 +0.200000000000000011102230246251565404236316680908203125,50.10000000000000142108547152020037174224853515625,14.9000000000000003552713678800500929355621337890625,1.952052905740752456924162243398334508642518863635e-23 0.200000000000000011102230246251565404236316680908203125,50.10000000000000142108547152020037174224853515625,19.89999999999999857891452847979962825775146484375,6.5386421007110521455879945955331146911471533270277e-21 0.200000000000000011102230246251565404236316680908203125,50.10000000000000142108547152020037174224853515625,20,7.2671094756783457345207799766898025902360413292479e-21 0.200000000000000011102230246251565404236316680908203125,50.10000000000000142108547152020037174224853515625,20.10000000000000142108547152020037174224853515625,8.0737572209163472500019474871210638913303016835783e-21 @@ -4083,7 +4083,7 @@ arg0,arg1,arg2,expectedresult 0.200000000000000011102230246251565404236316680908203125,50.5,50,0.0000000000083055523391827627563008551622273761575589276699693 0.200000000000000011102230246251565404236316680908203125,50.5,50.10000000000000142108547152020037174224853515625,0.0000000000087189531180537222307250518173702845039226272208165 0.200000000000000011102230246251565404236316680908203125,50.5,50.5,0.000000000010578127781588748751640960050607220269125964904823 -0.200000000000000011102230246251565404236316680908203125,50.5,99.5,0.000050451904127138644291731486515614403771431480738580 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-0.200000000000000011102230246251565404236316680908203125,99.5,0.1000000000000000055511151231257827021181583404541015625,5.7830452893879323536392055654684244691241233497750e-73 +0.200000000000000011102230246251565404236316680908203125,99.5,0.1000000000000000055511151231257827021181583404541015625,5.783045289387932353639205565468424469124123349775e-73 0.200000000000000011102230246251565404236316680908203125,99.5,0.200000000000000011102230246251565404236316680908203125,1.8563110905508697906304651262937023568993679080568e-72 0.200000000000000011102230246251565404236316680908203125,99.5,0.299999999999999988897769753748434595763683319091796875,4.4130012505907235016355582942073114436994448328266e-72 0.200000000000000011102230246251565404236316680908203125,99.5,0.5,1.7880060632494412606945308329006477949330070772241e-71 @@ -4100,9 +4100,9 @@ arg0,arg1,arg2,expectedresult 0.200000000000000011102230246251565404236316680908203125,99.5,1.5,2.8679175185884662936837967329086460723735328422924e-69 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0.25,49.5,0.200000000000000011102230246251565404236316680908203125,1.8942114742552561433461948720219634390863165472086e-32 0.25,49.5,0.299999999999999988897769753748434595763683319091796875,4.1730438038091701031127625538255926750372962284406e-32 0.25,49.5,0.5,1.4524581782016712340063875340526014514052739810265e-31 -0.25,49.5,1,1.5777218104420236108234571305655724593464128702180e-30 +0.25,49.5,1,1.577721810442023610823457130565572459346412870218e-30 0.25,49.5,1.100000000000000088817841970012523233890533447265625,2.3846350573527153381339584108068587265278769573988e-30 0.25,49.5,1.5,1.0965115627783395615749266039986984070333867066023e-29 0.25,49.5,1.899999999999999911182158029987476766109466552734375,4.3417336453251295249660098982581392593931764798454e-29 @@ -5033,28 +5033,28 @@ arg0,arg1,arg2,expectedresult 0.25,49.5,14.199999999999999289457264239899814128875732421875,4.9121073158212851466912786076923173887428696457725e-19 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0.25,49.89999999999999857891452847979962825775146484375,0.5,8.3090590653432274207836460482478697551426889658494e-32 0.25,49.89999999999999857891452847979962825775146484375,1,9.0616322414884999027153687251779677318525684340608e-31 0.25,49.89999999999999857891452847979962825775146484375,1.100000000000000088817841970012523233890533447265625,1.3706968021768194153919599967646228751676487315733e-30 -0.25,49.89999999999999857891452847979962825775146484375,1.5,6.3226583123934006408444450997460876029308020463026e-30 +0.25,49.89999999999999857891452847979962825775146484375,1.5,6.3226583123934006408444450997460876029308020463025e-30 0.25,49.89999999999999857891452847979962825775146484375,1.899999999999999911182158029987476766109466552734375,2.5113418811382688344718379754189163662072196084572e-29 0.25,49.89999999999999857891452847979962825775146484375,2,3.4819321887919559910382259828621209563574511001352e-29 0.25,49.89999999999999857891452847979962825775146484375,2.100000000000000088817841970012523233890533447265625,4.7975194319421019649710076263689380612164489912354e-29 @@ -5064,7 +5064,7 @@ arg0,arg1,arg2,expectedresult 0.25,49.89999999999999857891452847979962825775146484375,14,2.4055927081411190632909892709377514793047999599723e-19 0.25,49.89999999999999857891452847979962825775146484375,14.0999999999999996447286321199499070644378662109375,2.7294518692242613814826321638862239970308803798364e-19 0.25,49.89999999999999857891452847979962825775146484375,14.199999999999999289457264239899814128875732421875,3.0951249416948389224954018882736205891416864046622e-19 -0.25,49.89999999999999857891452847979962825775146484375,14.9000000000000003552713678800500929355621337890625,7.3462058005749691021845475298732858688180867390269e-19 +0.25,49.89999999999999857891452847979962825775146484375,14.9000000000000003552713678800500929355621337890625,7.346205800574969102184547529873285868818086739027e-19 0.25,49.89999999999999857891452847979962825775146484375,19.89999999999999857891452847979962825775146484375,1.7729473168356707323487075636038445469330958928881e-16 0.25,49.89999999999999857891452847979962825775146484375,20,1.9576277207465188471390719746718435392346614275371e-16 0.25,49.89999999999999857891452847979962825775146484375,20.10000000000000142108547152020037174224853515625,2.1607499541496407522746259721491047974153138289993e-16 @@ -5082,19 +5082,19 @@ arg0,arg1,arg2,expectedresult 0.25,49.89999999999999857891452847979962825775146484375,150,0.51576906870846480159545600988461669741822642144747 0.25,49.89999999999999857891452847979962825775146484375,500,0.99999999999999999999957327927433774766977529290593 0.25,50,0.1000000000000000055511151231257827021181583404541015625,3.1557910278398721410319924607991339006189927903181e-33 -0.25,50,0.200000000000000011102230246251565404236316680908203125,9.3958432945698596779851428491738978858025991895500e-33 +0.25,50,0.200000000000000011102230246251565404236316680908203125,9.39584329456985967798514284917389788580259918955e-33 0.25,50,0.299999999999999988897769753748434595763683319091796875,2.0720306025413044934130233203791558961760962369871e-32 -0.25,50,0.5,7.2263008542676098577402800228726237494832792744570e-32 +0.25,50,0.5,7.226300854267609857740280022872623749483279274457e-32 0.25,50,1,7.8886090522101180541172856528278622967320643510902e-31 0.25,50,1.100000000000000088817841970012523233890533447265625,1.1934956640246444554104112043847969284085388145507e-30 -0.25,50,1.5,5.5095894636966002166578804305530877727677645100629e-30 +0.25,50,1.5,5.5095894636966002166578804305530877727677645100628e-30 0.25,50,1.899999999999999911182158029987476766109466552734375,2.1900940239172259725387517261430254040541795248147e-29 0.25,50,2,3.0371144851008954508351549763387269842418447751697e-29 0.25,50,2.100000000000000088817841970012523233890533447265625,4.1854423598438215860440126363034115912165861462882e-29 0.25,50,2.5,1.4280208245633318419818994059624321653840929037235e-28 0.25,50,2.899999999999999911182158029987476766109466552734375,4.5163013026069298401641147312700453470632664387947e-28 0.25,50,3,5.9613232531420335870207563017713551893617118793145e-28 -0.25,50,14,2.1423737835489312384004963956629545013922930477070e-19 +0.25,50,14,2.142373783548931238400496395662954501392293047707e-19 0.25,50,14.0999999999999996447286321199499070644378662109375,2.4311756119317827708470379868386455656452338993659e-19 0.25,50,14.199999999999999289457264239899814128875732421875,2.7573170751630923830405311918480938028133010579881e-19 0.25,50,14.9000000000000003552713678800500929355621337890625,6.5515197745907765952779929268330646876887556555353e-19 @@ -5102,12 +5102,12 @@ arg0,arg1,arg2,expectedresult 0.25,50,20,1.7590850411415855725584862941353082240488423661831e-16 0.25,50,20.10000000000000142108547152020037174224853515625,1.9418828592657310587966359586758059854108177557098e-16 0.25,50,49.5,0.000000035502927284093439927672265871129158209052494283793 -0.25,50,49.89999999999999857891452847979962825775146484375,0.000000042044039239092161180629965303420558868127081853370 +0.25,50,49.89999999999999857891452847979962825775146484375,0.00000004204403923909216118062996530342055886812708185337 0.25,50,50,0.000000043848470459334600682335072682085666600503997323441 0.25,50,50.10000000000000142108547152020037174224853515625,0.000000045725736931769976961769165671687448665758216212046 0.25,50,50.5,0.000000054019544950517243777479687074720320584941656408922 0.25,50,99.5,0.011140127119505175619352807314816486097380956027426 -0.25,50,99.900000000000005684341886080801486968994140625,0.011761362338044356098308503069334246552051170051850 +0.25,50,99.900000000000005684341886080801486968994140625,0.01176136233804435609830850306933424655205117005185 0.25,50,100,0.011921059873980832290557954804287526628796842235826 0.25,50,100.099999999999994315658113919198513031005859375,0.012082541859540616176674827254380348303299430134439 0.25,50,100.5,0.012746606521244905625577774279724154346423218776499 @@ -5120,13 +5120,13 @@ arg0,arg1,arg2,expectedresult 0.25,50.10000000000000142108547152020037174224853515625,0.5,6.2846497705927305359072575442960949267711731232303e-32 0.25,50.10000000000000142108547152020037174224853515625,1,6.8674330540244087017396990115051584063900480784584e-31 0.25,50.10000000000000142108547152020037174224853515625,1.100000000000000088817841970012523233890533447265625,1.0392023585581232609354521091873604307582276620538e-30 -0.25,50.10000000000000142108547152020037174224853515625,1.5,4.8010688518889584165290805771103974537796529402670e-30 +0.25,50.10000000000000142108547152020037174224853515625,1.5,4.801068851888958416529080577110397453779652940267e-30 0.25,50.10000000000000142108547152020037174224853515625,1.899999999999999911182158029987476766109466552734375,1.9099332731480657364848423584587105220856306232073e-29 -0.25,50.10000000000000142108547152020037174224853515625,2,2.6491123005899157298901589415257637029656705224920e-29 +0.25,50.10000000000000142108547152020037174224853515625,2,2.649112300589915729890158941525763702965670522492e-29 0.25,50.10000000000000142108547152020037174224853515625,2.100000000000000088817841970012523233890533447265625,3.6514400855952466665576194320642173397045688434139e-29 0.25,50.10000000000000142108547152020037174224853515625,2.5,1.2467809441271964889583975720016984945199625037658e-28 0.25,50.10000000000000142108547152020037174224853515625,2.899999999999999911182158029987476766109466552734375,3.9461060191513625142928014169983910410244640569831e-28 -0.25,50.10000000000000142108547152020037174224853515625,3,5.2096754901666749961573050859183401413233998136547e-28 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-0.25,50.5,14.9000000000000003552713678800500929355621337890625,3.6937271650611482292643621376759718897924045967240e-19 +0.25,50.5,14.9000000000000003552713678800500929355621337890625,3.693727165061148229264362137675971889792404596724e-19 0.25,50.5,19.89999999999999857891452847979962825775146484375,9.3179942341651792467641278967183804427583837860818e-17 0.25,50.5,20,1.0297378526834580719744431508041664502951184916199e-16 0.25,50.5,20.10000000000000142108547152020037174224853515625,1.1375500310050721330797994311915570717109850965876e-16 @@ -5173,7 +5173,7 @@ arg0,arg1,arg2,expectedresult 0.25,50.5,50.10000000000000142108547152020037174224853515625,0.000000031930633545099614849826155608902148350039222382015 0.25,50.5,50.5,0.000000037795884128448219248187070216718457513041782209623 0.25,50.5,99.5,0.0094201963391633671973228501308212680967409458680778 -0.25,50.5,99.900000000000005684341886080801486968994140625,0.0099576438796072160249996511131992726898126572586670 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0.25,100.099999999999994315658113919198513031005859375,14.199999999999999289457264239899814128875732421875,7.5476550321082423638685803658266768704072255927702e-46 0.25,100.099999999999994315658113919198513031005859375,14.9000000000000003552713678800500929355621337890625,2.6805675973285398714285747609651686000955126262447e-45 0.25,100.099999999999994315658113919198513031005859375,19.89999999999999857891452847979962825775146484375,1.0472493935447718054507253253525790509840048873321e-41 @@ -5302,18 +5302,18 @@ arg0,arg1,arg2,expectedresult 0.25,100.099999999999994315658113919198513031005859375,49.5,2.2516917410007267706767737799763140025785818594839e-27 0.25,100.099999999999994315658113919198513031005859375,49.89999999999999857891452847979962825775146484375,3.1336093715041958696438080313527897559094495195679e-27 0.25,100.099999999999994315658113919198513031005859375,50,3.4023692561631393819962011641037415104107069733777e-27 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0.40000000000000002220446049250313080847263336181640625,1.5,49.89999999999999857891452847979962825775146484375,0.99999999995616814492350929354642519342528122001284 0.40000000000000002220446049250313080847263336181640625,1.5,50,0.99999999995831102380518813419320209814968638750223 -0.40000000000000002220446049250313080847263336181640625,1.5,50.10000000000000142108547152020037174224853515625,0.99999999996034921305061848370694060606056294359570 +0.40000000000000002220446049250313080847263336181640625,1.5,50.10000000000000142108547152020037174224853515625,0.9999999999603492130506184837069406060605629435957 0.40000000000000002220446049250313080847263336181640625,1.5,50.5,0.99999999996755362159874540533655649683768488896956 -0.40000000000000002220446049250313080847263336181640625,1.5,99.5,0.99999999999999999999939286812215236537064217294251 +0.40000000000000002220446049250313080847263336181640625,1.5,99.5,0.99999999999999999999939286812215236537064217294252 0.40000000000000002220446049250313080847263336181640625,1.5,99.900000000000005684341886080801486968994140625,0.99999999999999999999950409823112619674290874767802 0.40000000000000002220446049250313080847263336181640625,1.5,100,0.99999999999999999999952856340524713541133889586592 0.40000000000000002220446049250313080847263336181640625,1.5,100.099999999999994315658113919198513031005859375,0.99999999999999999999955182181133520461272873354968 0.40000000000000002220446049250313080847263336181640625,1.5,100.5,0.99999999999999999999963393487906019660193273461369 0.40000000000000002220446049250313080847263336181640625,1.5,120,0.99999999999999999999999998115281121035146039944552 0.40000000000000002220446049250313080847263336181640625,1.5,150,0.99999999999999999999999999999999535010779586990151 -0.40000000000000002220446049250313080847263336181640625,1.5,500,1.0000000000000000000000000000000000000000000000000 +0.40000000000000002220446049250313080847263336181640625,1.5,500,1.0 0.40000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,0.1000000000000000055511151231257827021181583404541015625,0.013446322425780912555607121077234005470220133850487 0.40000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,0.200000000000000011102230246251565404236316680908203125,0.028225150414259395517963264880577701601333871102071 0.40000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,0.299999999999999988897769753748434595763683319091796875,0.044148867982761293615540574882004988135214684808927 0.40000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,0.5,0.078770880158621673231967805639122821249390102751191 0.40000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,1,0.17535331622163480219830089081243211235815541771222 0.40000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,1.100000000000000088817841970012523233890533447265625,0.19555015685370877942253945545016527258795649003266 -0.40000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,1.5,0.27672116500754595928218071172356672915553010433830 +0.40000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,1.5,0.2767211650075459592821807117235667291555301043383 0.40000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,1.899999999999999911182158029987476766109466552734375,0.35601506003669884889849882468740378047696984221097 0.40000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,2,0.37525609671429845996177304256600221792946408641445 0.40000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,2.100000000000000088817841970012523233890533447265625,0.39420888532053914339950392113766466180206139778377 @@ -7869,7 +7869,7 @@ arg0,arg1,arg2,expectedresult 0.40000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,14,0.99556175500642470258748087490607834542182612242828 0.40000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,14.0999999999999996447286321199499070644378662109375,0.99575968534480569045260409214277757805663257581249 0.40000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,14.199999999999999289457264239899814128875732421875,0.99594892224902533654197364853088214181295014111909 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0.40000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,20.10000000000000142108547152020037174224853515625,0.99973858740334541240302570496711506014223303425242 @@ -7885,25 +7885,25 @@ arg0,arg1,arg2,expectedresult 0.40000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,100.5,0.99999999999999999999850602785835780139367360856773 0.40000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,120,0.99999999999999999999999991756854232269354816919651 0.40000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,150,0.99999999999999999999999999999997780353058655252259 -0.40000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,500,1.0000000000000000000000000000000000000000000000000 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0.40000000000000002220446049250313080847263336181640625,2,14.199999999999999289457264239899814128875732421875,0.99527366807999934102041487295807732710982038504585 0.40000000000000002220446049250313080847263336181640625,2,14.9000000000000003552713678800500929355621337890625,0.99655600216059368962956750928191807005264572144103 -0.40000000000000002220446049250313080847263336181640625,2,19.89999999999999857891452847979962825775146484375,0.99965523919007896201174256936683286082842074399750 +0.40000000000000002220446049250313080847263336181640625,2,19.89999999999999857891452847979962825775146484375,0.9996552391900789620117425693668328608284207439975 0.40000000000000002220446049250313080847263336181640625,2,20,0.99967094574039433238731247178278856069303277926222 0.40000000000000002220446049250313080847263336181640625,2,20.10000000000000142108547152020037174224853515625,0.99968594293826404904114669859326221431664843517998 0.40000000000000002220446049250313080847263336181640625,2,49.5,0.99999999978295477841738845323867529528139051270295 @@ -7918,11 +7918,11 @@ arg0,arg1,arg2,expectedresult 0.40000000000000002220446049250313080847263336181640625,2,100.5,0.99999999999999999999791503926956767483520361281953 0.40000000000000002220446049250313080847263336181640625,2,120,0.99999999999999999999999988295681643135512451123049 0.40000000000000002220446049250313080847263336181640625,2,150,0.99999999999999999999999999999996778802209275650624 -0.40000000000000002220446049250313080847263336181640625,2,500,1.0000000000000000000000000000000000000000000000000 +0.40000000000000002220446049250313080847263336181640625,2,500,1.0 0.40000000000000002220446049250313080847263336181640625,2.100000000000000088817841970012523233890533447265625,0.1000000000000000055511151231257827021181583404541015625,0.010359511408975707367768821525503992142454835720534 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0.40000000000000002220446049250313080847263336181640625,2.100000000000000088817841970012523233890533447265625,1,0.14599096584887694308379742473566679835316637572365 0.40000000000000002220446049250313080847263336181640625,2.100000000000000088817841970012523233890533447265625,1.100000000000000088817841970012523233890533447265625,0.16388158355553104916453575915235376088612851015592 0.40000000000000002220446049250313080847263336181640625,2.100000000000000088817841970012523233890533447265625,1.5,0.23743720759270267067698662958249551677090504824515 @@ -7940,7 +7940,7 @@ arg0,arg1,arg2,expectedresult 0.40000000000000002220446049250313080847263336181640625,2.100000000000000088817841970012523233890533447265625,20,0.99960719345326449558149883881844131387767964526213 0.40000000000000002220446049250313080847263336181640625,2.100000000000000088817841970012523233890533447265625,20.10000000000000142108547152020037174224853515625,0.99962493521455292492522231967277231917225476032532 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0.40000000000000002220446049250313080847263336181640625,2.5,49.89999999999999857891452847979962825775146484375,0.99999999938126577780188814744656130989290934878947 -0.40000000000000002220446049250313080847263336181640625,2.5,50,0.99999999941040387286493377585393773467474369050180 +0.40000000000000002220446049250313080847263336181640625,2.5,50,0.9999999994104038728649337758539377346747436905018 0.40000000000000002220446049250313080847263336181640625,2.5,50.10000000000000142108547152020037174224853515625,0.99999999943817278855611930047898232430120358946567 0.40000000000000002220446049250313080847263336181640625,2.5,50.5,0.99999999953679614120228161252063778589820968172045 0.40000000000000002220446049250313080847263336181640625,2.5,99.5,0.99999999999999999998340210658059956036170158208817 @@ -7984,10 +7984,10 @@ arg0,arg1,arg2,expectedresult 0.40000000000000002220446049250313080847263336181640625,2.5,100.5,0.99999999999999999998989483789998381521821303327264 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0.40000000000000002220446049250313080847263336181640625,50,2.100000000000000088817841970012523233890533447265625,5.2994938338921685993212447164356672749945199552826e-19 0.40000000000000002220446049250313080847263336181640625,50,2.5,1.6580762554847165333553557400336395447414529624445e-18 0.40000000000000002220446049250313080847263336181640625,50,2.899999999999999911182158029987476766109466552734375,4.8088166482741750994715032582510518850238687059443e-18 @@ -8366,9 +8366,9 @@ arg0,arg1,arg2,expectedresult 0.40000000000000002220446049250313080847263336181640625,50,14.199999999999999289457264239899814128875732421875,0.00000000025646365340702503636072334299992388604882442982658 0.40000000000000002220446049250313080847263336181640625,50,14.9000000000000003552713678800500929355621337890625,0.00000000052429452195839972079700945851639475728682836543231 0.40000000000000002220446049250313080847263336181640625,50,19.89999999999999857891452847979962825775146484375,0.000000043658183424301821416072665733872919143806118726292 -0.40000000000000002220446049250313080847263336181640625,50,20,0.000000047192800141389117536536277417292343050436841404790 +0.40000000000000002220446049250313080847263336181640625,50,20,0.00000004719280014138911753653627741729234305043684140479 0.40000000000000002220446049250313080847263336181640625,50,20.10000000000000142108547152020037174224853515625,0.000000050994899921391834406088396905668956092758391748584 -0.40000000000000002220446049250313080847263336181640625,50,49.5,0.019658650864109468378274532191014344268830818211050 +0.40000000000000002220446049250313080847263336181640625,50,49.5,0.01965865086410946837827453219101434426883081821105 0.40000000000000002220446049250313080847263336181640625,50,49.89999999999999857891452847979962825775146484375,0.021460102238198249910939314591923822982280506984565 0.40000000000000002220446049250313080847263336181640625,50,50,0.021930442130085220283817097587972142541116445031555 0.40000000000000002220446049250313080847263336181640625,50,50.10000000000000142108547152020037174224853515625,0.022408960380459371317946427491640985547557903526777 @@ -8376,11 +8376,11 @@ arg0,arg1,arg2,expectedresult 0.40000000000000002220446049250313080847263336181640625,50,99.5,0.95255389167431587783692245286703995532616311897516 0.40000000000000002220446049250313080847263336181640625,50,99.900000000000005684341886080801486968994140625,0.95498489383066437829947065485906057337485322976877 0.40000000000000002220446049250313080847263336181640625,50,100,0.95557590270975626212774392178613008509391307732886 -0.40000000000000002220446049250313080847263336181640625,50,100.099999999999994315658113919198513031005859375,0.95616032428449482756733244884029814801519335586210 +0.40000000000000002220446049250313080847263336181640625,50,100.099999999999994315658113919198513031005859375,0.9561603242844948275673324488402981480151933558621 0.40000000000000002220446049250313080847263336181640625,50,100.5,0.95843322387524617684240621440165620571192276257397 0.40000000000000002220446049250313080847263336181640625,50,120,0.99808494256906498971518905204721837055415938567937 0.40000000000000002220446049250313080847263336181640625,50,150,0.99999637970321457323119030436165248899349118121738 -0.40000000000000002220446049250313080847263336181640625,50,500,1.0000000000000000000000000000000000000000000000000 +0.40000000000000002220446049250313080847263336181640625,50,500,1.0 0.40000000000000002220446049250313080847263336181640625,50.10000000000000142108547152020037174224853515625,0.1000000000000000055511151231257827021181583404541015625,5.6140366395776660338688756364880379276952487709747e-23 0.40000000000000002220446049250313080847263336181640625,50.10000000000000142108547152020037174224853515625,0.200000000000000011102230246251565404236316680908203125,1.6359588941387785751168822395066654426939589755459e-22 0.40000000000000002220446049250313080847263336181640625,50.10000000000000142108547152020037174224853515625,0.299999999999999988897769753748434595763683319091796875,3.5310406817452682151628895206469325962589053796484e-22 @@ -8392,7 +8392,7 @@ arg0,arg1,arg2,expectedresult 0.40000000000000002220446049250313080847263336181640625,50.10000000000000142108547152020037174224853515625,2,3.5925847076264022658814366282310208625794828393875e-19 0.40000000000000002220446049250313080847263336181640625,50.10000000000000142108547152020037174224853515625,2.100000000000000088817841970012523233890533447265625,4.8457744967352122381988486408938038849840903744457e-19 0.40000000000000002220446049250313080847263336181640625,50.10000000000000142108547152020037174224853515625,2.5,1.5172734868497919899195047971685603504221569266997e-18 -0.40000000000000002220446049250313080847263336181640625,50.10000000000000142108547152020037174224853515625,2.899999999999999911182158029987476766109466552734375,4.4037792431170133837116327082692311831654391482510e-18 +0.40000000000000002220446049250313080847263336181640625,50.10000000000000142108547152020037174224853515625,2.899999999999999911182158029987476766109466552734375,4.403779243117013383711632708269231183165439148251e-18 0.40000000000000002220446049250313080847263336181640625,50.10000000000000142108547152020037174224853515625,3,5.6893749113661725871661602616790665052486240863323e-18 0.40000000000000002220446049250313080847263336181640625,50.10000000000000142108547152020037174224853515625,14,0.00000000019412391157560511818833180224270720511772531981984 0.40000000000000002220446049250313080847263336181640625,50.10000000000000142108547152020037174224853515625,14.0999999999999996447286321199499070644378662109375,0.00000000021564223262685027421559954705905943044802686748937 @@ -8403,7 +8403,7 @@ arg0,arg1,arg2,expectedresult 0.40000000000000002220446049250313080847263336181640625,50.10000000000000142108547152020037174224853515625,20.10000000000000142108547152020037174224853515625,0.000000048016100302215893218061405435186215668188948698352 0.40000000000000002220446049250313080847263336181640625,50.10000000000000142108547152020037174224853515625,49.5,0.019135777504717913614560318199939531970892610256722 0.40000000000000002220446049250313080847263336181640625,50.10000000000000142108547152020037174224853515625,49.89999999999999857891452847979962825775146484375,0.020896829113885204949135398690487873408354457236999 -0.40000000000000002220446049250313080847263336181640625,50.10000000000000142108547152020037174224853515625,50,0.021356736440657448714966620471038604775215270649870 +0.40000000000000002220446049250313080847263336181640625,50.10000000000000142108547152020037174224853515625,50,0.02135673644065744871496662047103860477521527064987 0.40000000000000002220446049250313080847263336181640625,50.10000000000000142108547152020037174224853515625,50.10000000000000142108547152020037174224853515625,0.021824688008735158726080791504016094302891113911863 0.40000000000000002220446049250313080847263336181640625,50.10000000000000142108547152020037174224853515625,50.5,0.023778809564156768899586835932557667282309195239333 0.40000000000000002220446049250313080847263336181640625,50.10000000000000142108547152020037174224853515625,99.5,0.95147012528202677464509676710133636984213488489556 @@ -8413,7 +8413,7 @@ arg0,arg1,arg2,expectedresult 0.40000000000000002220446049250313080847263336181640625,50.10000000000000142108547152020037174224853515625,100.5,0.95745923379976883323512916679466445406441666089027 0.40000000000000002220446049250313080847263336181640625,50.10000000000000142108547152020037174224853515625,120,0.99801847019478084811623460934748398509290759755048 0.40000000000000002220446049250313080847263336181640625,50.10000000000000142108547152020037174224853515625,150,0.99999619604685742722566516356375798118671032083806 -0.40000000000000002220446049250313080847263336181640625,50.10000000000000142108547152020037174224853515625,500,1.0000000000000000000000000000000000000000000000000 +0.40000000000000002220446049250313080847263336181640625,50.10000000000000142108547152020037174224853515625,500,1.0 0.40000000000000002220446049250313080847263336181640625,50.5,0.1000000000000000055511151231257827021181583404541015625,3.8639571171449328497047275238419724205564102553647e-23 0.40000000000000002220446049250313080847263336181640625,50.5,0.200000000000000011102230246251565404236316680908203125,1.1268678972217839586136890168999888322118159945344e-22 0.40000000000000002220446049250313080847263336181640625,50.5,0.299999999999999988897769753748434595763683319091796875,2.4341436274913167019678187127890490348862238460399e-22 @@ -8426,11 +8426,11 @@ arg0,arg1,arg2,expectedresult 0.40000000000000002220446049250313080847263336181640625,50.5,2.100000000000000088817841970012523233890533447265625,3.3873549891614520812717118226427305147815134080387e-19 0.40000000000000002220446049250313080847263336181640625,50.5,2.5,1.0638425877122082424443498704953775303974996435981e-18 0.40000000000000002220446049250313080847263336181640625,50.5,2.899999999999999911182158029987476766109466552734375,3.0970249490726070243492060499809091120259484989167e-18 -0.40000000000000002220446049250313080847263336181640625,50.5,3,4.0041333846141569704445172806577388267733909896840e-18 +0.40000000000000002220446049250313080847263336181640625,50.5,3,4.004133384614156970444517280657738826773390989684e-18 0.40000000000000002220446049250313080847263336181640625,50.5,14,0.00000000014717297360078779817476289180102826740607904163415 0.40000000000000002220446049250313080847263336181640625,50.5,14.0999999999999996447286321199499070644378662109375,0.00000000016358707006201378502083045884927904108299907361189 0.40000000000000002220446049250313080847263336181640625,50.5,14.199999999999999289457264239899814128875732421875,0.00000000018172695711878112407777364991296949549689415803422 -0.40000000000000002220446049250313080847263336181640625,50.5,14.9000000000000003552713678800500929355621337890625,0.00000000037349086104677572938315700177752334214516639001180 +0.40000000000000002220446049250313080847263336181640625,50.5,14.9000000000000003552713678800500929355621337890625,0.0000000003734908610467757293831570017775233421451663900118 0.40000000000000002220446049250313080847263336181640625,50.5,19.89999999999999857891452847979962825775146484375,0.000000032250638464309166258141853336224695533347092850656 0.40000000000000002220446049250313080847263336181640625,50.5,20,0.000000034886001127845450102309044124873060725081124225607 0.40000000000000002220446049250313080847263336181640625,50.5,20.10000000000000142108547152020037174224853515625,0.000000037722850718898242420502304098854694672163866512067 @@ -8440,18 +8440,18 @@ arg0,arg1,arg2,expectedresult 0.40000000000000002220446049250313080847263336181640625,50.5,50.10000000000000142108547152020037174224853515625,0.019619838679538649581428181438081812981510827154463 0.40000000000000002220446049250313080847263336181640625,50.5,50.5,0.021407006320931919361734066970878642443460006747679 0.40000000000000002220446049250313080847263336181640625,50.5,99.5,0.94694629169404338117698897760252559128010510831202 -0.40000000000000002220446049250313080847263336181640625,50.5,99.900000000000005684341886080801486968994140625,0.94960669894299970771887458120292372350267500107810 +0.40000000000000002220446049250313080847263336181640625,50.5,99.900000000000005684341886080801486968994140625,0.9496066989429997077188745812029237235026750010781 0.40000000000000002220446049250313080847263336181640625,50.5,100,0.95025402497469197368809904480255853142344126781464 0.40000000000000002220446049250313080847263336181640625,50.5,100.099999999999994315658113919198513031005859375,0.95089435052109380028065487543150676632017613566909 0.40000000000000002220446049250313080847263336181640625,50.5,100.5,0.95338674129472873311095667889360931818787567361166 0.40000000000000002220446049250313080847263336181640625,50.5,120,0.99773177836646960551629421736481802040106737639381 0.40000000000000002220446049250313080847263336181640625,50.5,150,0.99999537027020200356044759285199662563847452727616 -0.40000000000000002220446049250313080847263336181640625,50.5,500,1.0000000000000000000000000000000000000000000000000 -0.40000000000000002220446049250313080847263336181640625,99.5,0.1000000000000000055511151231257827021181583404541015625,6.6909265912981895974805560795193692825202384242580e-43 +0.40000000000000002220446049250313080847263336181640625,50.5,500,1.0 +0.40000000000000002220446049250313080847263336181640625,99.5,0.1000000000000000055511151231257827021181583404541015625,6.690926591298189597480556079519369282520238424258e-43 0.40000000000000002220446049250313080847263336181640625,99.5,0.200000000000000011102230246251565404236316680908203125,2.0876788297464638211689414745115426655880842106994e-42 0.40000000000000002220446049250313080847263336181640625,99.5,0.299999999999999988897769753748434595763683319091796875,4.8242564861723516615749328449835528111653733438742e-42 0.40000000000000002220446049250313080847263336181640625,99.5,0.5,1.8468542086738509373075204772181581387119032191079e-41 -0.40000000000000002220446049250313080847263336181640625,99.5,1,2.5407921393174497121882851023566315022626472736210e-40 +0.40000000000000002220446049250313080847263336181640625,99.5,1,2.540792139317449712188285102356631502262647273621e-40 0.40000000000000002220446049250313080847263336181640625,99.5,1.100000000000000088817841970012523233890533447265625,4.0248693640329369704992539672657776652874870076204e-40 0.40000000000000002220446049250313080847263336181640625,99.5,1.5,2.2308793339027940382210021457313117815890050837517e-39 0.40000000000000002220446049250313080847263336181640625,99.5,1.899999999999999911182158029987476766109466552734375,1.0631011426241030365335124088617423841734931128564e-38 @@ -8459,12 +8459,12 @@ arg0,arg1,arg2,expectedresult 0.40000000000000002220446049250313080847263336181640625,99.5,2.100000000000000088817841970012523233890533447265625,2.2232154520177139606362333376051559222625804650086e-38 0.40000000000000002220446049250313080847263336181640625,99.5,2.5,9.0727311006545011917112211779618256326867714313746e-38 0.40000000000000002220446049250313080847263336181640625,99.5,2.899999999999999911182158029987476766109466552734375,3.4268744738792515707929954126570575392388672604912e-37 -0.40000000000000002220446049250313080847263336181640625,99.5,3,4.7275375979817090501251606837309044054783198264050e-37 +0.40000000000000002220446049250313080847263336181640625,99.5,3,4.727537597981709050125160683730904405478319826405e-37 0.40000000000000002220446049250313080847263336181640625,99.5,14,1.3108443626970478853991275351499071736185254498499e-26 0.40000000000000002220446049250313080847263336181640625,99.5,14.0999999999999996447286321199499070644378662109375,1.5409974055170966163268337563895224351690752749402e-26 0.40000000000000002220446049250313080847263336181640625,99.5,14.199999999999999289457264239899814128875732421875,1.8103898488808751939159346905501048130274947319284e-26 0.40000000000000002220446049250313080847263336181640625,99.5,14.9000000000000003552713678800500929355621337890625,5.4940911612275874336162756316530870105134683172428e-26 -0.40000000000000002220446049250313080847263336181640625,99.5,19.89999999999999857891452847979962825775146484375,6.9895596968298227201495059054401782975160112079290e-23 +0.40000000000000002220446049250313080847263336181640625,99.5,19.89999999999999857891452847979962825775146484375,6.989559696829822720149505905440178297516011207929e-23 0.40000000000000002220446049250313080847263336181640625,99.5,20,7.9658148680888674417096247073480257291528862494874e-23 0.40000000000000002220446049250313080847263336181640625,99.5,20.10000000000000142108547152020037174224853515625,9.0745408702951208171595295646903552241388945862565e-23 0.40000000000000002220446049250313080847263336181640625,99.5,49.5,0.000000000020480721999559567617041255061205186752383594830187 @@ -8473,7 +8473,7 @@ arg0,arg1,arg2,expectedresult 0.40000000000000002220446049250313080847263336181640625,99.5,50.10000000000000142108547152020037174224853515625,0.000000000029414763306737721433541744487890690033322617591867 0.40000000000000002220446049250313080847263336181640625,99.5,50.5,0.000000000037343536176964128104573585308236966585557667728688 0.40000000000000002220446049250313080847263336181640625,99.5,99.5,0.0022092845628329875068100330592657268689731114929098 -0.40000000000000002220446049250313080847263336181640625,99.5,99.900000000000005684341886080801486968994140625,0.0023936666234983123257801581501303400337696242816680 +0.40000000000000002220446049250313080847263336181640625,99.5,99.900000000000005684341886080801486968994140625,0.002393666623498312325780158150130340033769624281668 0.40000000000000002220446049250313080847263336181640625,99.5,100,0.0024418244997168551557497838094528459456933260853603 0.40000000000000002220446049250313080847263336181640625,99.5,100.099999999999994315658113919198513031005859375,0.0024908318637049848632631210191236959677527519415071 0.40000000000000002220446049250313080847263336181640625,99.5,100.5,0.0026956084719236570478481992491199780437276111193107 @@ -8482,7 +8482,7 @@ arg0,arg1,arg2,expectedresult 0.40000000000000002220446049250313080847263336181640625,99.5,500,0.99999999999999999999999999999999999193379092792552 0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,0.1000000000000000055511151231257827021181583404541015625,4.6211809425829655321912609577032724011130357403781e-43 0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,0.200000000000000011102230246251565404236316680908203125,1.4424611776528253000757842821577719187409499360808e-42 -0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,0.299999999999999988897769753748434595763683319091796875,3.3346049916874357863116007373505297337945814401630e-42 +0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,0.299999999999999988897769753748434595763683319091796875,3.334604991687435786311600737350529733794581440163e-42 0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,0.5,1.2775950205414041056306916018661160012789918546082e-41 0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,1,1.7611369688970134095997837635324360671851837358298e-40 0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,1.100000000000000088817841970012523233890533447265625,2.7909235526170084331863049398793383994905669445708e-40 @@ -8492,23 +8492,23 @@ arg0,arg1,arg2,expectedresult 0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,2.100000000000000088817841970012523233890533447265625,1.5477105291667656996964633328828534811793059030911e-38 0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,2.5,6.3259570423398844904620439486648840429462853076537e-38 0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,2.899999999999999911182158029987476766109466552734375,2.3931157181836962257424843993746558828851201826202e-37 -0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,3,3.3027020728324291233701934912905969430158959928490e-37 +0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,3,3.302702072832429123370193491290596943015895992849e-37 0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,14,9.5368939189369833975961561032617103244405749426035e-27 0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,14.0999999999999996447286321199499070644378662109375,1.1215271330246229615029325241141672246160064862963e-26 0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,14.199999999999999289457264239899814128875732421875,1.3180500509227717052188501526005298120463559813907e-26 -0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,14.9000000000000003552713678800500929355621337890625,4.0097313029316057451065827866628772247070984195979e-26 +0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,14.9000000000000003552713678800500929355621337890625,4.009731302931605745106582786662877224707098419598e-26 0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,19.89999999999999857891452847979962825775146484375,5.1885938886388826470282621229415085706673963696184e-23 0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,20,5.9152678909700410915628507849807259102441192550377e-23 0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,20.10000000000000142108547152020037174224853515625,6.7408256325067304591046601388691847680834952578404e-23 0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,49.5,0.000000000016594542018488464675231319365498349283719586098677 0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,49.89999999999999857891452847979962825775146484375,0.000000000021157779509943932329679212533989451395880726681772 0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,50,0.000000000022475002414406516963425352110108119913009778150165 -0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,50.10000000000000142108547152020037174224853515625,0.000000000023871027227361232901470230033201565810823782175220 -0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,50.5,0.000000000030337285067003129717247970330812645025183276164700 -0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,99.5,0.0020012095116622505757664061624738683817241766332500 +0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,50.10000000000000142108547152020037174224853515625,0.00000000002387102722736123290147023003320156581082378217522 +0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,50.5,0.0000000000303372850670031297172479703308126450251832761647 +0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,99.5,0.00200120951166225057576640616247386838172417663325 0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,99.900000000000005684341886080801486968994140625,0.0021698428677510350790270201084066934796302002407637 0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,100,0.0022139094224002184826322979282375164129230551619723 -0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,100.099999999999994315658113919198513031005859375,0.0022587623280496313820145151621049058799066535307300 +0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,100.099999999999994315658113919198513031005859375,0.00225876232804963138201451516210490587990665353073 0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,100.5,0.0024462747056657375262353034442039858051388820534426 0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,120,0.051866228062348837511846402749426743673553357715375 0.40000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,150,0.50653241184852675596812063830134716112935015785228 @@ -8520,10 +8520,10 @@ arg0,arg1,arg2,expectedresult 0.40000000000000002220446049250313080847263336181640625,100,1,1.6069380442589991958400415046149304295873626270182e-40 0.40000000000000002220446049250313080847263336181640625,100,1.100000000000000088817841970012523233890533447265625,2.5468119104092139376336605311941047837786539157457e-40 0.40000000000000002220446049250313080847263336181640625,100,1.5,1.4144231122972692022964326765184257524583685323377e-39 -0.40000000000000002220446049250313080847263336181640625,100,1.899999999999999911182158029987476766109466552734375,6.7535571341599073786001492782707331684735790942122e-39 +0.40000000000000002220446049250313080847263336181640625,100,1.899999999999999911182158029987476766109466552734375,6.7535571341599073786001492782707331684735790942123e-39 0.40000000000000002220446049250313080847263336181640625,100,2,9.8023220699798947378123300016591246518485630485545e-39 0.40000000000000002220446049250313080847263336181640625,100,2.100000000000000088817841970012523233890533447265625,1.4137272345697783951962357728630206134791338194128e-38 -0.40000000000000002220446049250313080847263336181640625,100,2.5,5.7805839709632098652394197419052166319224891560630e-38 +0.40000000000000002220446049250313080847263336181640625,100,2.5,5.780583970963209865239419741905216631922489156063e-38 0.40000000000000002220446049250313080847263336181640625,100,2.899999999999999911182158029987476766109466552734375,2.1876512516441826929898331600080540969639459393781e-37 0.40000000000000002220446049250313080847263336181640625,100,3,3.0194365851626592691872933104524164815381023771646e-37 0.40000000000000002220446049250313080847263336181640625,100,14,8.8076224826031165394752474992007092364256436894423e-27 @@ -8537,7 +8537,7 @@ arg0,arg1,arg2,expectedresult 0.40000000000000002220446049250313080847263336181640625,100,49.89999999999999857891452847979962825775146484375,0.000000000020077292614678085010394079092345949719462315640575 0.40000000000000002220446049250313080847263336181640625,100,50,0.000000000021328646959887705015416902086881008157017856870647 0.40000000000000002220446049250313080847263336181640625,100,50.10000000000000142108547152020037174224853515625,0.000000000022654951839501369746291104101126281889475466966955 -0.40000000000000002220446049250313080847263336181640625,100,50.5,0.000000000028799334357134054391662591135441141050864259896370 +0.40000000000000002220446049250313080847263336181640625,100,50.5,0.00000000002879933435713405439166259113544114105086425989637 0.40000000000000002220446049250313080847263336181640625,100,99.5,0.0019521108655851910072340438369804503470255063340868 0.40000000000000002220446049250313080847263336181640625,100,99.900000000000005684341886080801486968994140625,0.0021170011362239625664770272078860891739455005521556 0.40000000000000002220446049250313080847263336181640625,100,100,0.0021600949380551488695187100179828988988364190142195 @@ -8556,10 +8556,10 @@ arg0,arg1,arg2,expectedresult 0.40000000000000002220446049250313080847263336181640625,100.099999999999994315658113919198513031005859375,1.899999999999999911182158029987476766109466552734375,6.1676971184481995741884129116358880443514498952986e-39 0.40000000000000002220446049250313080847263336181640625,100.099999999999994315658113919198513031005859375,2,8.9528628573811184728311892679374079368865034207226e-39 0.40000000000000002220446049250313080847263336181640625,100.099999999999994315658113919198513031005859375,2.100000000000000088817841970012523233890533447265625,1.2913413272385674180516927974400557288276010565759e-38 -0.40000000000000002220446049250313080847263336181640625,100.099999999999994315658113919198513031005859375,2.5,5.2822209466072456238116582289272473638189684611427e-38 +0.40000000000000002220446049250313080847263336181640625,100.099999999999994315658113919198513031005859375,2.5,5.2822209466072456238116582289272473638189684611428e-38 0.40000000000000002220446049250313080847263336181640625,100.099999999999994315658113919198513031005859375,2.899999999999999911182158029987476766109466552734375,1.9998235958329519273437783655336133482692747052421e-37 0.40000000000000002220446049250313080847263336181640625,100.099999999999994315658113919198513031005859375,3,2.7604608669770244193669069934051404823682815658061e-37 -0.40000000000000002220446049250313080847263336181640625,100.099999999999994315658113919198513031005859375,14,8.1340261197947303076577714901459966537046970026640e-27 +0.40000000000000002220446049250313080847263336181640625,100.099999999999994315658113919198513031005859375,14,8.134026119794730307657771490145996653704697002664e-27 0.40000000000000002220446049250313080847263336181640625,100.099999999999994315658113919198513031005859375,14.0999999999999996447286321199499070644378662109375,9.5671861757561432441766904587537099595275824117952e-27 0.40000000000000002220446049250313080847263336181640625,100.099999999999994315658113919198513031005859375,14.199999999999999289457264239899814128875732421875,1.1245586336355518624709951565305457201152027286319e-26 0.40000000000000002220446049250313080847263336181640625,100.099999999999994315658113919198513031005859375,14.9000000000000003552713678800500929355621337890625,3.4252628425744752167572788254422186943494859137181e-26 @@ -8584,16 +8584,16 @@ arg0,arg1,arg2,expectedresult 0.40000000000000002220446049250313080847263336181640625,100.5,0.299999999999999988897769753748434595763683319091796875,1.9163480517049859145198410792452449177207134506842e-42 0.40000000000000002220446049250313080847263336181640625,100.5,0.5,7.3508999168085820924323558226382135469085495199204e-42 0.40000000000000002220446049250313080847263336181640625,100.5,1,1.0163168557269799412922327180794753846023065026334e-40 -0.40000000000000002220446049250313080847263336181640625,100.5,1.100000000000000088817841970012523233890533447265625,1.6115392793946221524984886918096932605587070247280e-40 -0.40000000000000002220446049250313080847263336181640625,100.5,1.5,8.9676227351120281391610953818527744171043157777190e-40 +0.40000000000000002220446049250313080847263336181640625,100.5,1.100000000000000088817841970012523233890533447265625,1.611539279394622152498488691809693260558707024728e-40 +0.40000000000000002220446049250313080847263336181640625,100.5,1.5,8.967622735112028139161095381852774417104315777719e-40 0.40000000000000002220446049250313080847263336181640625,100.5,1.899999999999999911182158029987476766109466552734375,4.2902352621485699506215930507679397693194909143295e-39 0.40000000000000002220446049250313080847263336181640625,100.5,2,6.2300223256063868133253734797371439274414226903108e-39 0.40000000000000002220446049250313080847263336181640625,100.5,2.100000000000000088817841970012523233890533447265625,8.9895541648345336617695033522839151612551508046832e-39 0.40000000000000002220446049250313080847263336181640625,100.5,2.5,3.6828981766724728449833420797284855137552738727368e-38 0.40000000000000002220446049250313080847263336181640625,100.5,2.899999999999999911182158029987476766109466552734375,1.3964912011245921231602029975675069207019879020429e-37 0.40000000000000002220446049250313080847263336181640625,100.5,3,1.9283951731463220445190954896153970605678836408638e-37 -0.40000000000000002220446049250313080847263336181640625,100.5,14,5.9162231428572469597554075216718363642534369923036e-27 -0.40000000000000002220446049250313080847263336181640625,100.5,14.0999999999999996447286321199499070644378662109375,6.9610455152098686292253148740849250359164837709630e-27 +0.40000000000000002220446049250313080847263336181640625,100.5,14,5.9162231428572469597554075216718363642534369923035e-27 +0.40000000000000002220446049250313080847263336181640625,100.5,14.0999999999999996447286321199499070644378662109375,6.961045515209868629225314874084925035916483770963e-27 0.40000000000000002220446049250313080847263336181640625,100.5,14.199999999999999289457264239899814128875732421875,8.1850904193039209012999648275590458566223589989271e-27 0.40000000000000002220446049250313080847263336181640625,100.5,14.9000000000000003552713678800500929355621337890625,2.4991332041915053933838586470396022359764847881429e-26 0.40000000000000002220446049250313080847263336181640625,100.5,19.89999999999999857891452847979962825775146484375,3.3170186159585184920275251135317540056078440049392e-23 @@ -8612,15 +8612,15 @@ arg0,arg1,arg2,expectedresult 0.40000000000000002220446049250313080847263336181640625,100.5,120,0.047083412067996467914443961854669138876052381278163 0.40000000000000002220446049250313080847263336181640625,100.5,150,0.48797394257936702956848305514263326974498225324505 0.40000000000000002220446049250313080847263336181640625,100.5,500,0.99999999999999999999999999999999998047795763930714 -0.40000000000000002220446049250313080847263336181640625,120,0.1000000000000000055511151231257827021181583404541015625,3.9351313928273472532629026498455418766570156324590e-51 +0.40000000000000002220446049250313080847263336181640625,120,0.1000000000000000055511151231257827021181583404541015625,3.935131392827347253262902649845541876657015632459e-51 0.40000000000000002220446049250313080847263336181640625,120,0.200000000000000011102230246251565404236316680908203125,1.2509813558152547622604673414471652715561579860917e-50 0.40000000000000002220446049250313080847263336181640625,120,0.299999999999999988897769753748434595763683319091796875,2.9452635584683588254506645092520419154090569975574e-50 -0.40000000000000002220446049250313080847263336181640625,120,0.5,1.1703534354072000575270862669019042105630146284520e-49 +0.40000000000000002220446049250313080847263336181640625,120,0.5,1.170353435407200057527086266901904210563014628452e-49 0.40000000000000002220446049250313080847263336181640625,120,1,1.7668470647783960991490513508082245655297005061949e-48 0.40000000000000002220446049250313080847263336181640625,120,1.100000000000000088817841970012523233890533447265625,2.8512040928094208102425904513474497806402756344838e-48 0.40000000000000002220446049250313080847263336181640625,120,1.5,1.7016302750794139747015358596616433682035380077762e-47 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0.40000000000000002220446049250313080847263336181640625,500,2.5,4.2124460188618691249005453551957584188924387877033e-196 @@ -8693,11 +8693,11 @@ arg0,arg1,arg2,expectedresult 0.40000000000000002220446049250313080847263336181640625,500,3,4.8636847188793206320985418946304883867031210370577e-195 0.40000000000000002220446049250313080847263336181640625,500,14,3.3434838876984565211911807717045169581293726674017e-177 0.40000000000000002220446049250313080847263336181640625,500,14.0999999999999996447286321199499070644378662109375,4.5701208833928033282617813390186197380035001493363e-177 -0.40000000000000002220446049250313080847263336181640625,500,14.199999999999999289457264239899814128875732421875,6.2423111294385303651346036796158691945433880829090e-177 +0.40000000000000002220446049250313080847263336181640625,500,14.199999999999999289457264239899814128875732421875,6.242311129438530365134603679615869194543388082909e-177 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0.450000000000000011102230246251565404236316680908203125,0.200000000000000011102230246251565404236316680908203125,0.5,0.71183536236706086352364135893824374836271969125823 0.450000000000000011102230246251565404236316680908203125,0.200000000000000011102230246251565404236316680908203125,1,0.85239815840382581599376024781583870677663752326012 0.450000000000000011102230246251565404236316680908203125,0.200000000000000011102230246251565404236316680908203125,1.100000000000000088817841970012523233890533447265625,0.86830316418371886316205947726058769330407262661065 @@ -8754,7 +8754,7 @@ arg0,arg1,arg2,expectedresult 0.450000000000000011102230246251565404236316680908203125,0.200000000000000011102230246251565404236316680908203125,1.899999999999999911182158029987476766109466552734375,0.94100677831588615059469229112187269895348811199662 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0.5,120,0.299999999999999988897769753748434595763683319091796875,1.4220999557394746501825088403422203884935972075793e-38 -0.5,120,0.5,5.4515621097157142494125929839195805636941276063051e-38 +0.5,120,0.5,5.4515621097157142494125929839195805636941276063052e-38 0.5,120,1,7.5231638452626400509999138382223723380394595633414e-37 0.5,120,1.100000000000000088817841970012523233890533447265625,1.1924216666923913941657799768516616802299844511155e-36 0.5,120,1.5,6.6232063715200623674818854119301438136124000332377e-36 @@ -10801,7 +10801,7 @@ arg0,arg1,arg2,expectedresult 0.5,120,2,4.5891299456102104311099474413156471262040703336382e-35 0.5,120,2.100000000000000088817841970012523233890533447265625,6.6180284740763083927820491814701210105168086311222e-35 0.5,120,2.5,2.7046561818017342223782355794258322213395999344642e-34 -0.5,120,2.899999999999999911182158029987476766109466552734375,1.0227883815238371959958108520913486508713964863280e-33 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0.5,120,99.5,0.082670164600232279527227473815430946477528398589127 0.5,120,99.900000000000005684341886080801486968994140625,0.087076753150327710438354762325768769512273446198137 0.5,120,100,0.088203937205018197869775265193666008593881419254837 0.5,120,100.099999999999994315658113919198513031005859375,0.089341401394238882634226940275012655335867795936316 0.5,120,100.5,0.093994676196686582209583109014572456586121596608448 -0.5,120,120,0.50000000000000000000000000000000000000000000000000 +0.5,120,120,0.5 0.5,120,150,0.96640980363724129571645617208913251181414867727505 -0.5,120,500,1.0000000000000000000000000000000000000000000000000 +0.5,120,500,1.0 0.5,150,0.1000000000000000055511151231257827021181583404541015625,1.5028309400157958338362897335438082079277680008224e-48 0.5,150,0.200000000000000011102230246251565404236316680908203125,4.7978563573406290080574343375989894578440458148975e-48 0.5,150,0.299999999999999988897769753748434595763683319091796875,1.1343808007628214867337041148025924727515902297058e-47 @@ -10839,9 +10839,9 @@ arg0,arg1,arg2,expectedresult 0.5,150,14,5.2687244650015511336165808167877110784417284092873e-31 0.5,150,14.0999999999999996447286321199499070644378662109375,6.3106733116693981506635585153728754388158136538567e-31 0.5,150,14.199999999999999289457264239899814128875732421875,7.5535912387962501503269928653556653998380737520622e-31 -0.5,150,14.9000000000000003552713678800500929355621337890625,2.6103572500960361603880852929371708116150579937710e-30 +0.5,150,14.9000000000000003552713678800500929355621337890625,2.610357250096036160388085292937170811615057993771e-30 0.5,150,19.89999999999999857891452847979962825775146484375,8.0896667872199831792529233493384245295550313387349e-27 -0.5,150,20,9.3790804454895650711132063448695673474586807174900e-27 +0.5,150,20,9.37908044548956507111320634486956734745868071749e-27 0.5,150,20.10000000000000142108547152020037174224853515625,1.0869087338502707171387109254832252150625687403258e-26 0.5,150,49.5,0.00000000000014542813083678291838459812227593662425293019347263 0.5,150,49.89999999999999857891452847979962825775146484375,0.00000000000019356071222969094307792768361721842009801436159866 @@ -10850,11 +10850,11 @@ arg0,arg1,arg2,expectedresult 0.5,150,50.5,0.00000000000029587005151712213781623789048547617910471530773008 0.5,150,99.5,0.00065535172482870655789665441524933259511697034370494 0.5,150,99.900000000000005684341886080801486968994140625,0.00072277713832854306609238059804881661850248856537948 -0.5,150,100,0.00074058306656412747272527899120370432599950917074760 +0.5,150,100,0.0007405830665641274727252789912037043259995091707476 0.5,150,100.099999999999994315658113919198513031005859375,0.00075878367691143672775110631671443990952952066469849 0.5,150,100.5,0.00083568747681579562432712595082570346320782123716642 0.5,150,120,0.033590196362758704283543827910867488185851322724945 -0.5,150,150,0.50000000000000000000000000000000000000000000000000 +0.5,150,150,0.5 0.5,150,500,0.99999999999999999999999999999999999999999999837105 0.5,500,0.1000000000000000055511151231257827021181583404541015625,2.2268884317976728321307188896352692850788820546017e-154 0.5,500,0.200000000000000011102230246251565404236316680908203125,8.0167176924219916376698206908059130936507632075174e-154 @@ -10865,7 +10865,7 @@ arg0,arg1,arg2,expectedresult 0.5,500,1.5,5.4599104160309872910696480496819413243338895303595e-150 0.5,500,1.899999999999999911182158029987476766109466552734375,4.5877537409580620199671638762769324179667925269378e-149 0.5,500,2,7.6678902723840077519504682769661804264714008788365e-149 -0.5,500,2.100000000000000088817841970012523233890533447265625,1.2733789162267821467472116052887465478466110996580e-148 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0.5,500,50.10000000000000142108547152020037174224853515625,2.2365664611734980663942264997751682135695833869909e-95 0.5,500,50.5,4.4334407710106316818681847868391607995859869679698e-95 @@ -10888,7 +10888,7 @@ arg0,arg1,arg2,expectedresult 0.5,500,100.5,1.9302049590519251366489074489158109568285363713005e-65 0.5,500,120,9.3405845521768814692700165270982531655400996088038e-57 0.5,500,150,1.6289472294735960646126359984162678582849250426537e-45 -0.5,500,500,0.50000000000000000000000000000000000000000000000000 +0.5,500,500,0.5 0.5500000000000000444089209850062616169452667236328125,0.1000000000000000055511151231257827021181583404541015625,0.1000000000000000055511151231257827021181583404541015625,0.50885816051019896220301306048339828491298101974876 0.5500000000000000444089209850062616169452667236328125,0.1000000000000000055511151231257827021181583404541015625,0.200000000000000011102230246251565404236316680908203125,0.68167394258874794580457722447428412690168084364878 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0.5500000000000000444089209850062616169452667236328125,1.5,1.100000000000000088817841970012523233890533447265625,0.44207689357816996131190991744608603788121310275977 0.5500000000000000444089209850062616169452667236328125,1.5,1.5,0.56355571421523095790561671443010895710668724812932 0.5500000000000000444089209850062616169452667236328125,1.5,1.899999999999999911182158029987476766109466552734375,0.66191559748823072900472838990922661181611161335652 @@ -11100,26 +11100,26 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,1.5,2.5,0.77258717720263940501669464040255865224787545682465 0.5500000000000000444089209850062616169452667236328125,1.5,2.899999999999999911182158029987476766109466552734375,0.82660739646250875782875357017840124243074331185474 0.5500000000000000444089209850062616169452667236328125,1.5,3,0.83808836809249039183808712727211015266899252578453 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0.5500000000000000444089209850062616169452667236328125,1.5,120,0.99999999999999999999999999999999999999997758477667 -0.5500000000000000444089209850062616169452667236328125,1.5,150,1.0000000000000000000000000000000000000000000000000 -0.5500000000000000444089209850062616169452667236328125,1.5,500,1.0000000000000000000000000000000000000000000000000 +0.5500000000000000444089209850062616169452667236328125,1.5,150,1.0 +0.5500000000000000444089209850062616169452667236328125,1.5,500,1.0 0.5500000000000000444089209850062616169452667236328125,1.899999999999999911182158029987476766109466552734375,0.1000000000000000055511151231257827021181583404541015625,0.028602845943217738352686483414055988206716536926731 0.5500000000000000444089209850062616169452667236328125,1.899999999999999911182158029987476766109466552734375,0.200000000000000011102230246251565404236316680908203125,0.058993221684113863956820672806633429084443454308008 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0.5500000000000000444089209850062616169452667236328125,1.899999999999999911182158029987476766109466552734375,150,0.99999999999999999999999999999999999999999999999999 -0.5500000000000000444089209850062616169452667236328125,1.899999999999999911182158029987476766109466552734375,500,1.0000000000000000000000000000000000000000000000000 +0.5500000000000000444089209850062616169452667236328125,1.899999999999999911182158029987476766109466552734375,500,1.0 0.5500000000000000444089209850062616169452667236328125,2,0.1000000000000000055511151231257827021181583404541015625,0.025966910080864748182544605237569958828671585206745 0.5500000000000000444089209850062616169452667236328125,2,0.200000000000000011102230246251565404236316680908203125,0.053838044171753354814524146213852339312328328039958 0.5500000000000000444089209850062616169452667236328125,2,0.299999999999999988897769753748434595763683319091796875,0.083168176243365221939672331064313759029717809444741 @@ -11161,7 +11161,7 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,2,1.100000000000000088817841970012523233890533447265625,0.33317971640370108317448410869250862811147301967345 0.5500000000000000444089209850062616169452667236328125,2,1.5,0.44908875204348937498991013023633945981405970743058 0.5500000000000000444089209850062616169452667236328125,2,1.899999999999999911182158029987476766109466552734375,0.55146422434552948703131502118352131472221226139274 -0.5500000000000000444089209850062616169452667236328125,2,2,0.57475000000000006594724766273429790951804216883570 +0.5500000000000000444089209850062616169452667236328125,2,2,0.5747500000000000659472476627342979095180421688357 0.5500000000000000444089209850062616169452667236328125,2,2.100000000000000088817841970012523233890533447265625,0.59710344547195587909310203417633845555076084719811 0.5500000000000000444089209850062616169452667236328125,2,2.5,0.67737731712135853237982021912187039171971675264869 0.5500000000000000444089209850062616169452667236328125,2,2.899999999999999911182158029987476766109466552734375,0.74387400879192767879493304121172185937493509263015 @@ -11185,9 +11185,9 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,2,100.5,0.99999999999999999999999999999999920900609310907072 0.5500000000000000444089209850062616169452667236328125,2,120,0.99999999999999999999999999999999999999983722921584 0.5500000000000000444089209850062616169452667236328125,2,150,0.99999999999999999999999999999999999999999999999999 -0.5500000000000000444089209850062616169452667236328125,2,500,1.0000000000000000000000000000000000000000000000000 +0.5500000000000000444089209850062616169452667236328125,2,500,1.0 0.5500000000000000444089209850062616169452667236328125,2.100000000000000088817841970012523233890533447265625,0.1000000000000000055511151231257827021181583404541015625,0.023612829079727296397720551892147749555842383059856 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-11199,10 +11199,10 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,2.100000000000000088817841970012523233890533447265625,2.5,0.65846171710638098037235572121645282340482588948507 0.5500000000000000444089209850062616169452667236328125,2.100000000000000088817841970012523233890533447265625,2.899999999999999911182158029987476766109466552734375,0.72687163741198077645117497264201929846841859941485 0.5500000000000000444089209850062616169452667236328125,2.100000000000000088817841970012523233890533447265625,3,0.74203699745760474590004851825622464831860020724726 -0.5500000000000000444089209850062616169452667236328125,2.100000000000000088817841970012523233890533447265625,14,0.99985534314330106975141177061359409263305988672752 +0.5500000000000000444089209850062616169452667236328125,2.100000000000000088817841970012523233890533447265625,14,0.99985534314330106975141177061359409263305988672751 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0.5500000000000000444089209850062616169452667236328125,2.5,0.5,0.099041352020989918484151085414375961873441326839609 0.5500000000000000444089209850062616169452667236328125,2.5,1,0.22434000423464384948350850818543718264527237246206 -0.5500000000000000444089209850062616169452667236328125,2.5,1.100000000000000088817841970012523233890533447265625,0.25050891093986777863158018648946219425709796117660 +0.5500000000000000444089209850062616169452667236328125,2.5,1.100000000000000088817841970012523233890533447265625,0.2505089109398677786315801864894621942570979611766 0.5500000000000000444089209850062616169452667236328125,2.5,1.5,0.35452425122782251079453878845765926196549903943399 -0.5500000000000000444089209850062616169452667236328125,2.5,1.899999999999999911182158029987476766109466552734375,0.45330598545414523557934327827126976827343212905010 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0.5500000000000000444089209850062616169452667236328125,2.5,3,0.67547373150024790141938610206936102916120164957401 -0.5500000000000000444089209850062616169452667236328125,2.5,14,0.99972355021849730373758509078766241876350065025928 +0.5500000000000000444089209850062616169452667236328125,2.5,14,0.99972355021849730373758509078766241876350065025929 0.5500000000000000444089209850062616169452667236328125,2.5,14.0999999999999996447286321199499070644378662109375,0.99974238588654889280191096103424389849730356489585 0.5500000000000000444089209850062616169452667236328125,2.5,14.199999999999999289457264239899814128875732421875,0.99975995188202360899473356369956231106496023111551 -0.5500000000000000444089209850062616169452667236328125,2.5,14.9000000000000003552713678800500929355621337890625,0.99985380565770566150739813256421726472555436441050 +0.5500000000000000444089209850062616169452667236328125,2.5,14.9000000000000003552713678800500929355621337890625,0.9998538056577056615073981325642172647255543644105 0.5500000000000000444089209850062616169452667236328125,2.5,19.89999999999999857891452847979962825775146484375,0.99999602853949096382157627336179090496389962296226 0.5500000000000000444089209850062616169452667236328125,2.5,20,0.99999630830017360452738331126986383231687050089153 0.5500000000000000444089209850062616169452667236328125,2.5,20.10000000000000142108547152020037174224853515625,0.99999656845903573141634852727196929027244194141863 @@ -11243,17 +11243,17 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,2.5,49.89999999999999857891452847979962825775146484375,0.99999999999999942997361201231650558507280895549672 0.5500000000000000444089209850062616169452667236328125,2.5,50,0.99999999999999947220137393353143598221290839032073 0.5500000000000000444089209850062616169452667236328125,2.5,50.10000000000000142108547152020037174224853515625,0.99999999999999951130358991293166569573586969473027 -0.5500000000000000444089209850062616169452667236328125,2.5,50.5,0.99999999999999964083096047049810963510143076031030 +0.5500000000000000444089209850062616169452667236328125,2.5,50.5,0.9999999999999996408309604704981096351014307603103 0.5500000000000000444089209850062616169452667236328125,2.5,99.5,0.99999999999999999999999999999999018908375844894635 0.5500000000000000444089209850062616169452667236328125,2.5,99.900000000000005684341886080801486968994140625,0.99999999999999999999999999999999282940964532406333 0.5500000000000000444089209850062616169452667236328125,2.5,100,0.99999999999999999999999999999999336998242554394258 0.5500000000000000444089209850062616169452667236328125,2.5,100.099999999999994315658113919198513031005859375,0.99999999999999999999999999999999386981160765988378 0.5500000000000000444089209850062616169452667236328125,2.5,100.5,0.99999999999999999999999999999999551973026921215113 -0.5500000000000000444089209850062616169452667236328125,2.5,120,0.99999999999999999999999999999999999999899462721330 -0.5500000000000000444089209850062616169452667236328125,2.5,150,0.99999999999999999999999999999999999999999999999995 -0.5500000000000000444089209850062616169452667236328125,2.5,500,1.0000000000000000000000000000000000000000000000000 +0.5500000000000000444089209850062616169452667236328125,2.5,120,0.9999999999999999999999999999999999999989946272133 +0.5500000000000000444089209850062616169452667236328125,2.5,150,0.99999999999999999999999999999999999999999999999994 +0.5500000000000000444089209850062616169452667236328125,2.5,500,1.0 0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,0.1000000000000000055511151231257827021181583404541015625,0.011548041561742557536482086999909289883816152063058 -0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,0.200000000000000011102230246251565404236316680908203125,0.024846460379690118484864086946985338244041863631450 +0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,0.200000000000000011102230246251565404236316680908203125,0.02484646037969011848486408694698533824404186363145 0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,0.299999999999999988897769753748434595763683319091796875,0.039750284407289118359678824030364063274142016435421 0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,0.5,0.073777092078969038545558087112626121113170477741955 0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,1,0.17662484735829408737821417608255505802613505607785 @@ -11261,10 +11261,10 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,1.5,0.29189042770146254626906349811866257909957529807169 0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,1.899999999999999911182158029987476766109466552734375,0.38451852061675005701632530512982976693046768858611 0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,2,0.40712027316086784160065189264184864735832876667108 -0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,2.100000000000000088817841970012523233890533447265625,0.42939074890788446879996099529289934694663055058240 -0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,2.5,0.51436603003640589637999574002981862251202991087710 -0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,2.899999999999999911182158029987476766109466552734375,0.59146235177441939861128487801566913672266531840480 -0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,3,0.60938000930262628636431342443013802265806388739040 +0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,2.100000000000000088817841970012523233890533447265625,0.42939074890788446879996099529289934694663055058239 +0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,2.5,0.5143660300364058963799957400298186225120299108771 +0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,2.899999999999999911182158029987476766109466552734375,0.5914623517744193986112848780156691367226653184048 +0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,3,0.6093800093026262863643134244301380226580638873904 0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,14,0.99950669027497001048120259459720942370424555375583 0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,14.0999999999999996447286321199499070644378662109375,0.99953923805021683087441817481274061019983821170432 0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,14.199999999999999289457264239899814128875732421875,0.99956966851929671788308809450638771928915477555159 @@ -11272,7 +11272,7 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,19.89999999999999857891452847979962825775146484375,0.99999202705923318765481848622702602099313955014808 0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,20,0.99999257587414653726928533786391139831264126530219 0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,20.10000000000000142108547152020037174224853515625,0.99999308717466164479201468112662961354973120572014 -0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,49.5,0.99999999999999783340674712333141742830078436986300 +0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,49.5,0.999999999999997833406747123331417428300784369863 0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,49.89999999999999857891452847979962825775146484375,0.99999999999999840260962984116053408228638293638751 0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,50,0.99999999999999851982903421570009695649733745036589 0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,50.10000000000000142108547152020037174224853515625,0.99999999999999862845619300501101848425228397638145 @@ -11284,7 +11284,7 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,100.5,0.99999999999999999999999999999998358280194981754007 0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,120,0.99999999999999999999999999999999999999605275302543 0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,150,0.99999999999999999999999999999999999999999999999976 -0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,500,1.0000000000000000000000000000000000000000000000000 +0.5500000000000000444089209850062616169452667236328125,2.899999999999999911182158029987476766109466552734375,500,1.0 0.5500000000000000444089209850062616169452667236328125,3,0.1000000000000000055511151231257827021181583404541015625,0.010606269764722931845730761759434492747487695831653 0.5500000000000000444089209850062616169452667236328125,3,0.200000000000000011102230246251565404236316680908203125,0.022895991021694471456701936503352458048220576615217 0.5500000000000000444089209850062616169452667236328125,3,0.299999999999999988897769753748434595763683319091796875,0.036746187227189685539654749734512125978165102886819 @@ -11294,7 +11294,7 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,3,1.5,0.27787232823508750694747756357219126088481692351699 0.5500000000000000444089209850062616169452667236328125,3,1.899999999999999911182158029987476766109466552734375,0.36867492912145121340058881637891485954624070547017 0.5500000000000000444089209850062616169452667236328125,3,2,0.39098125000000007254197242900773062911595701872556 -0.5500000000000000444089209850062616169452667236328125,3,2.100000000000000088817841970012523233890533447265625,0.41301664444684817183249086443772791381017242504490 +0.5500000000000000444089209850062616169452667236328125,3,2.100000000000000088817841970012523233890533447265625,0.4130166444468481718324908644377279138101724250449 0.5500000000000000444089209850062616169452667236328125,3,2.5,0.49760007212253658867685150869072944977197115204287 0.5500000000000000444089209850062616169452667236328125,3,2.899999999999999911182158029987476766109466552734375,0.57503442294021328602966442277021725136665529981285 0.5500000000000000444089209850062616169452667236328125,3,3,0.59312687500000008160971898263369293086704952568239 @@ -11305,7 +11305,7 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,3,19.89999999999999857891452847979962825775146484375,0.99999059997779978100383400866976034292085116010406 0.5500000000000000444089209850062616169452667236328125,3,20,0.99999124328914837576989251377964361335822592624685 0.5500000000000000444089209850062616169452667236328125,3,20.10000000000000142108547152020037174224853515625,0.99999184289916554751187246101847201828377152183724 -0.5500000000000000444089209850062616169452667236328125,3,49.5,0.99999999999999722745067473306475318906407293429710 +0.5500000000000000444089209850062616169452667236328125,3,49.5,0.9999999999999972274506747330647531890640729342971 0.5500000000000000444089209850062616169452667236328125,3,49.89999999999999857891452847979962825775146484375,0.99999999999999795430735214235073343311697981240446 0.5500000000000000444089209850062616169452667236328125,3,50,0.99999999999999810406834949648559598684846247915943 0.5500000000000000444089209850062616169452667236328125,3,50.10000000000000142108547152020037174224853515625,0.99999999999999824287847041123579985483488508326632 @@ -11317,12 +11317,12 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,3,100.5,0.99999999999999999999999999999997752272305042059103 0.5500000000000000444089209850062616169452667236328125,3,120,0.99999999999999999999999999999999999999450187014657 0.5500000000000000444089209850062616169452667236328125,3,150,0.99999999999999999999999999999999999999999999999966 -0.5500000000000000444089209850062616169452667236328125,3,500,1.0000000000000000000000000000000000000000000000000 +0.5500000000000000444089209850062616169452667236328125,3,500,1.0 0.5500000000000000444089209850062616169452667236328125,14,0.1000000000000000055511151231257827021181583404541015625,0.0000043349531613931262406475857024033777881022161803552 0.5500000000000000444089209850062616169452667236328125,14,0.200000000000000011102230246251565404236316680908203125,0.000010849697046905420589793631894174488374063664605415 0.5500000000000000444089209850062616169452667236328125,14,0.299999999999999988897769753748434595763683319091796875,0.000020124781559969277878186809233187640655876330001418 0.5500000000000000444089209850062616169452667236328125,14,0.5,0.000049738430072034313614981420407571302284555950709027 -0.5500000000000000444089209850062616169452667236328125,14,1,0.00023178090428664638017125904579201397575911382047980 +0.5500000000000000444089209850062616169452667236328125,14,1,0.0002317809042866463801712590457920139757591138204798 0.5500000000000000444089209850062616169452667236328125,14,1.100000000000000088817841970012523233890533447265625,0.00029625364751725130143774603577969826076006916385256 0.5500000000000000444089209850062616169452667236328125,14,1.5,0.00070035658950725764157381597002916742917703222374927 0.5500000000000000444089209850062616169452667236328125,14,1.899999999999999911182158029987476766109466552734375,0.0014375208910984823527374654002090954610652858587826 @@ -11331,7 +11331,7 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,14,2.5,0.0035305455830504788388933254011157343656610913599107 0.5500000000000000444089209850062616169452667236328125,14,2.899999999999999911182158029987476766109466552734375,0.0058805323248709954665007994512717448163693798212345 0.5500000000000000444089209850062616169452667236328125,14,3,0.0066202420786873361168359112189953112962744649630839 -0.5500000000000000444089209850062616169452667236328125,14,14,0.70047598910962736528249138953128833963572232792640 +0.5500000000000000444089209850062616169452667236328125,14,14,0.7004759891096273652824913895312883396357223279264 0.5500000000000000444089209850062616169452667236328125,14,14.0999999999999996447286321199499070644378662109375,0.70742832618535698799782392790596875312949386666441 0.5500000000000000444089209850062616169452667236328125,14,14.199999999999999289457264239899814128875732421875,0.71427999212973969971599800570295207585836525342125 0.5500000000000000444089209850062616169452667236328125,14,14.9000000000000003552713678800500929355621337890625,0.75936627088562924983144918709463483328616463936546 @@ -11344,13 +11344,13 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,14,50.10000000000000142108547152020037174224853515625,0.99999997605645636499553068261887953777368906096903 0.5500000000000000444089209850062616169452667236328125,14,50.5,0.99999998097947042785185392730259739245417566302219 0.5500000000000000444089209850062616169452667236328125,14,99.5,0.99999999999999999999946886127764333776612729878452 -0.5500000000000000444089209850062616169452667236328125,14,99.900000000000005684341886080801486968994140625,0.99999999999999999999959497181607212905479119009460 +0.5500000000000000444089209850062616169452667236328125,14,99.900000000000005684341886080801486968994140625,0.9999999999999999999995949718160721290547911900946 0.5500000000000000444089209850062616169452667236328125,14,100,0.99999999999999999999962152046486161523909770117653 -0.5500000000000000444089209850062616169452667236328125,14,100.099999999999994315658113919198513031005859375,0.99999999999999999999964633285927147137363487346980 -0.5500000000000000444089209850062616169452667236328125,14,100.5,0.99999999999999999999973037779477280469523188641238 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0.5500000000000000444089209850062616169452667236328125,14.0999999999999996447286321199499070644378662109375,0.200000000000000011102230246251565404236316680908203125,0.000010166152267076589932251017647636054701676055130256 0.5500000000000000444089209850062616169452667236328125,14.0999999999999996447286321199499070644378662109375,0.299999999999999988897769753748434595763683319091796875,0.000018869732177205174727293522210555865197073352795621 @@ -11361,10 +11361,10 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,14.0999999999999996447286321199499070644378662109375,1.899999999999999911182158029987476766109466552734375,0.0013616390595706796813190690252445256141099165669823 0.5500000000000000444089209850062616169452667236328125,14.0999999999999996447286321199499070644378662109375,2,0.0016036357224601065296650082594767645970031735122667 0.5500000000000000444089209850062616169452667236328125,14.0999999999999996447286321199499070644378662109375,2.100000000000000088817841970012523233890533447265625,0.0018777868697440055501221869962589410283119884479029 -0.5500000000000000444089209850062616169452667236328125,14.0999999999999996447286321199499070644378662109375,2.5,0.0033558591619465146156408909200109573447302506159750 +0.5500000000000000444089209850062616169452667236328125,14.0999999999999996447286321199499070644378662109375,2.5,0.003355859161946514615640890920010957344730250615975 0.5500000000000000444089209850062616169452667236328125,14.0999999999999996447286321199499070644378662109375,2.899999999999999911182158029987476766109466552734375,0.0056020736659570372148126666184159277540321179363473 0.5500000000000000444089209850062616169452667236328125,14.0999999999999996447286321199499070644378662109375,3,0.0063102110483939867089223023864402556760526294970748 -0.5500000000000000444089209850062616169452667236328125,14.0999999999999996447286321199499070644378662109375,14,0.69411935517578344727515059439517611605812258207820 +0.5500000000000000444089209850062616169452667236328125,14.0999999999999996447286321199499070644378662109375,14,0.6941193551757834472751505943951761160581225820782 0.5500000000000000444089209850062616169452667236328125,14.0999999999999996447286321199499070644378662109375,14.0999999999999996447286321199499070644378662109375,0.70113849778048221883333327443294541241213712495674 0.5500000000000000444089209850062616169452667236328125,14.0999999999999996447286321199499070644378662109375,14.199999999999999289457264239899814128875732421875,0.70805855572269153120726970355387229520835141601059 0.5500000000000000444089209850062616169452667236328125,14.0999999999999996447286321199499070644378662109375,14.9000000000000003552713678800500929355621337890625,0.75366036680868958726975208783867534603682161555959 @@ -11372,7 +11372,7 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,14.0999999999999996447286321199499070644378662109375,20,0.94586466077211262959914842328029253582958387932694 0.5500000000000000444089209850062616169452667236328125,14.0999999999999996447286321199499070644378662109375,20.10000000000000142108547152020037174224853515625,0.94767788529022922984312665208163943159363861651357 0.5500000000000000444089209850062616169452667236328125,14.0999999999999996447286321199499070644378662109375,49.5,0.99999996282125717019252639984955659361428626792825 -0.5500000000000000444089209850062616169452667236328125,14.0999999999999996447286321199499070644378662109375,49.89999999999999857891452847979962825775146484375,0.99999997042011038124371578647582208616656931659100 +0.5500000000000000444089209850062616169452667236328125,14.0999999999999996447286321199499070644378662109375,49.89999999999999857891452847979962825775146484375,0.999999970420110381243715786475822086166569316591 0.5500000000000000444089209850062616169452667236328125,14.0999999999999996447286321199499070644378662109375,50,0.99999997206622042560163068344278990697514775936221 0.5500000000000000444089209850062616169452667236328125,14.0999999999999996447286321199499070644378662109375,50.10000000000000142108547152020037174224853515625,0.99999997362174599411768545626956156500870993512059 0.5500000000000000444089209850062616169452667236328125,14.0999999999999996447286321199499070644378662109375,50.5,0.99999997903260520473982610937236988574238190201629 @@ -11383,14 +11383,14 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,14.0999999999999996447286321199499070644378662109375,100.5,0.99999999999999999999968545411620275127988885361011 0.5500000000000000444089209850062616169452667236328125,14.0999999999999996447286321199499070644378662109375,120,0.99999999999999999999999999952545938466749760293828 0.5500000000000000444089209850062616169452667236328125,14.0999999999999996447286321199499070644378662109375,150,0.99999999999999999999999999999999999970394637900401 -0.5500000000000000444089209850062616169452667236328125,14.0999999999999996447286321199499070644378662109375,500,1.0000000000000000000000000000000000000000000000000 +0.5500000000000000444089209850062616169452667236328125,14.0999999999999996447286321199499070644378662109375,500,1.0 0.5500000000000000444089209850062616169452667236328125,14.199999999999999289457264239899814128875732421875,0.1000000000000000055511151231257827021181583404541015625,0.0000038008755850493795573720178999855461690472298672713 -0.5500000000000000444089209850062616169452667236328125,14.199999999999999289457264239899814128875732421875,0.200000000000000011102230246251565404236316680908203125,0.0000095260069434077304330875184372507156359071819740640 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0.5500000000000000444089209850062616169452667236328125,14.199999999999999289457264239899814128875732421875,2.100000000000000088817841970012523233890533447265625,0.0017806930567724260890744719468990175205435074903838 @@ -11410,19 +11410,19 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,14.199999999999999289457264239899814128875732421875,50.10000000000000142108547152020037174224853515625,0.99999997095615323336406156855955492327025269877963 0.5500000000000000444089209850062616169452667236328125,14.199999999999999289457264239899814128875732421875,50.5,0.99999997689976699103489061520951658938019331548622 0.5500000000000000444089209850062616169452667236328125,14.199999999999999289457264239899814128875732421875,99.5,0.99999999999999999999927884650409715853263601340297 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0.5500000000000000444089209850062616169452667236328125,14.199999999999999289457264239899814128875732421875,120,0.99999999999999999999999999943804338420150477156016 0.5500000000000000444089209850062616169452667236328125,14.199999999999999289457264239899814128875732421875,150,0.99999999999999999999999999999999999964229345915193 -0.5500000000000000444089209850062616169452667236328125,14.199999999999999289457264239899814128875732421875,500,1.0000000000000000000000000000000000000000000000000 +0.5500000000000000444089209850062616169452667236328125,14.199999999999999289457264239899814128875732421875,500,1.0 0.5500000000000000444089209850062616169452667236328125,14.9000000000000003552713678800500929355621337890625,0.1000000000000000055511151231257827021181583404541015625,0.0000024019203229944994988830532194981476413168961429109 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0.5500000000000000444089209850062616169452667236328125,14.9000000000000003552713678800500929355621337890625,1,0.00013533311352130998722021370178642716328665265357712 -0.5500000000000000444089209850062616169452667236328125,14.9000000000000003552713678800500929355621337890625,1.100000000000000088817841970012523233890533447265625,0.00017394768816130975504978684791099685058134819609440 +0.5500000000000000444089209850062616169452667236328125,14.9000000000000003552713678800500929355621337890625,1.100000000000000088817841970012523233890533447265625,0.0001739476881613097550497868479109968505813481960944 0.5500000000000000444089209850062616169452667236328125,14.9000000000000003552713678800500929355621337890625,1.5,0.00042033873224058152318666525103208015646798726622845 0.5500000000000000444089209850062616169452667236328125,14.9000000000000003552713678800500929355621337890625,1.899999999999999911182158029987476766109466552734375,0.00088130590316344640803835020000205424660638200012346 0.5500000000000000444089209850062616169452667236328125,14.9000000000000003552713678800500929355621337890625,2,0.0010427416396816933836187743135074826928845776852316 @@ -11439,21 +11439,21 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,14.9000000000000003552713678800500929355621337890625,20.10000000000000142108547152020037174224853515625,0.93052862068631743827792293060913583274378191082553 0.5500000000000000444089209850062616169452667236328125,14.9000000000000003552713678800500929355621337890625,49.5,0.99999992151520572464719597153544722027705655425548 0.5500000000000000444089209850062616169452667236328125,14.9000000000000003552713678800500929355621337890625,49.89999999999999857891452847979962825775146484375,0.99999993725143752333946609970327645686401455101145 -0.5500000000000000444089209850062616169452667236328125,14.9000000000000003552713678800500929355621337890625,50,0.99999994067140129074514142561168496446384553456719 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arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,20.10000000000000142108547152020037174224853515625,50,0.99999623914728732807132341438537914177872002504291 0.5500000000000000444089209850062616169452667236328125,20.10000000000000142108547152020037174224853515625,50.10000000000000142108547152020037174224853515625,0.99999641752625662492852300073633816117200587990518 0.5500000000000000444089209850062616169452667236328125,20.10000000000000142108547152020037174224853515625,50.5,0.99999705184311443851445106381797492770942656186416 -0.5500000000000000444089209850062616169452667236328125,20.10000000000000142108547152020037174224853515625,99.5,0.99999999999999999781238791442825407314414862931020 +0.5500000000000000444089209850062616169452667236328125,20.10000000000000142108547152020037174224853515625,99.5,0.9999999999999999978123879144282540731441486293102 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0.5500000000000000444089209850062616169452667236328125,20.10000000000000142108547152020037174224853515625,150,0.99999999999999999999999999999999104486347994544867 -0.5500000000000000444089209850062616169452667236328125,20.10000000000000142108547152020037174224853515625,500,1.0000000000000000000000000000000000000000000000000 +0.5500000000000000444089209850062616169452667236328125,20.10000000000000142108547152020037174224853515625,500,1.0 0.5500000000000000444089209850062616169452667236328125,49.5,0.1000000000000000055511151231257827021181583404541015625,8.8516657622687136419026622677594776067925153885727e-16 -0.5500000000000000444089209850062616169452667236328125,49.5,0.200000000000000011102230246251565404236316680908203125,0.0000000000000025058557146659599957013298881786832450381872116490 +0.5500000000000000444089209850062616169452667236328125,49.5,0.200000000000000011102230246251565404236316680908203125,0.000000000000002505855714665959995701329888178683245038187211649 0.5500000000000000444089209850062616169452667236328125,49.5,0.299999999999999988897769753748434595763683319091796875,0.0000000000000052543968476466782076979124934231098472453264768166 0.5500000000000000444089209850062616169452667236328125,49.5,0.5,0.000000000000016567776573622946456779630887804358029479836663238 0.5500000000000000444089209850062616169452667236328125,49.5,1,0.00000000000014058957885142857142504305583071956637511086405695 @@ -11563,25 +11563,25 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,49.5,2.899999999999999911182158029987476766109466552734375,0.000000000030953184126450562430376106335764360071486894372003 0.5500000000000000444089209850062616169452667236328125,49.5,3,0.000000000038855400920820173023959795251240572839374911068465 0.5500000000000000444089209850062616169452667236328125,49.5,14,0.000058357226739356213858924533695027086750924553594243 -0.5500000000000000444089209850062616169452667236328125,49.5,14.0999999999999996447286321199499070644378662109375,0.000063037720838319546234761120306644394616382796265130 +0.5500000000000000444089209850062616169452667236328125,49.5,14.0999999999999996447286321199499070644378662109375,0.00006303772083831954623476112030664439461638279626513 0.5500000000000000444089209850062616169452667236328125,49.5,14.199999999999999289457264239899814128875732421875,0.000068054994108375792845456322490975356284682568668598 0.5500000000000000444089209850062616169452667236328125,49.5,14.9000000000000003552713678800500929355621337890625,0.00011454137122862915346833691282096474229388616548257 0.5500000000000000444089209850062616169452667236328125,49.5,19.89999999999999857891452847979962825775146484375,0.0024097470367929193725564438386605970519647178419063 -0.5500000000000000444089209850062616169452667236328125,49.5,20,0.0025348017585812510109162483720683139654945134246440 +0.5500000000000000444089209850062616169452667236328125,49.5,20,0.002534801758581251010916248372068313965494513424644 0.5500000000000000444089209850062616169452667236328125,49.5,20.10000000000000142108547152020037174224853515625,0.0026653990557169030002836966769105219807154981585683 0.5500000000000000444089209850062616169452667236328125,49.5,49.5,0.84012576293034951411430813010387857189509441523999 0.5500000000000000444089209850062616169452667236328125,49.5,49.89999999999999857891452847979962825775146484375,0.85020537409000935925234762052900838582987708023379 -0.5500000000000000444089209850062616169452667236328125,49.5,50,0.85265143550225099568080305540063629496690410399176 +0.5500000000000000444089209850062616169452667236328125,49.5,50,0.85265143550225099568080305540063629496690410399175 0.5500000000000000444089209850062616169452667236328125,49.5,50.10000000000000142108547152020037174224853515625,0.85506817539713251131631600618771714074112746106429 0.5500000000000000444089209850062616169452667236328125,49.5,50.5,0.86444432637275841552576078820049907537577403003994 0.5500000000000000444089209850062616169452667236328125,49.5,99.5,0.99999995874852999191126891523082162484025799455111 -0.5500000000000000444089209850062616169452667236328125,49.5,99.900000000000005684341886080801486968994140625,0.99999996498536014167323068182041358325885424668440 +0.5500000000000000444089209850062616169452667236328125,49.5,99.900000000000005684341886080801486968994140625,0.9999999649853601416732306818204135832588542466844 0.5500000000000000444089209850062616169452667236328125,49.5,100,0.99999996639386527438054599996244396921356346461309 0.5500000000000000444089209850062616169452667236328125,49.5,100.099999999999994315658113919198513031005859375,0.99999996774670837450624909450235522146677293783854 -0.5500000000000000444089209850062616169452667236328125,49.5,100.5,0.99999997264339692206230838900496413228505835195220 +0.5500000000000000444089209850062616169452667236328125,49.5,100.5,0.9999999726433969220623083890049641322850583519522 0.5500000000000000444089209850062616169452667236328125,49.5,120,0.99999999999480427548733198642295267596230619215306 0.5500000000000000444089209850062616169452667236328125,49.5,150,0.99999999999999999813018910219759497443638321748135 -0.5500000000000000444089209850062616169452667236328125,49.5,500,1.0000000000000000000000000000000000000000000000000 +0.5500000000000000444089209850062616169452667236328125,49.5,500,1.0 0.5500000000000000444089209850062616169452667236328125,49.89999999999999857891452847979962825775146484375,0.1000000000000000055511151231257827021181583404541015625,6.9198586242816782851872724939946674077061543673189e-16 0.5500000000000000444089209850062616169452667236328125,49.89999999999999857891452847979962825775146484375,0.200000000000000011102230246251565404236316680908203125,0.0000000000000019605262120197250028251414883921492039591293344174 0.5500000000000000444089209850062616169452667236328125,49.89999999999999857891452847979962825775146484375,0.299999999999999988897769753748434595763683319091796875,0.0000000000000041141781797258751001740867831256472778975632211952 @@ -11603,7 +11603,7 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,49.89999999999999857891452847979962825775146484375,20,0.0022564952673776661321255156998818143533252212483966 0.5500000000000000444089209850062616169452667236328125,49.89999999999999857891452847979962825775146484375,20.10000000000000142108547152020037174224853515625,0.0023740153424542901192277102895769348461331894544908 0.5500000000000000444089209850062616169452667236328125,49.89999999999999857891452847979962825775146484375,49.5,0.83063275666910894411692304241361891884627260762807 -0.5500000000000000444089209850062616169452667236328125,49.89999999999999857891452847979962825775146484375,49.89999999999999857891452847979962825775146484375,0.84110437693148129781823567324133724938447772330480 +0.5500000000000000444089209850062616169452667236328125,49.89999999999999857891452847979962825775146484375,49.89999999999999857891452847979962825775146484375,0.8411043769314812978182356732413372493844777233048 0.5500000000000000444089209850062616169452667236328125,49.89999999999999857891452847979962825775146484375,50,0.84364816680870140425123989792852730462894770486214 0.5500000000000000444089209850062616169452667236328125,49.89999999999999857891452847979962825775146484375,50.10000000000000142108547152020037174224853515625,0.84616248315328787269810393406848166135713861055441 0.5500000000000000444089209850062616169452667236328125,49.89999999999999857891452847979962825775146484375,50.5,0.85592701354826103424103187959981275631109309782899 @@ -11614,8 +11614,8 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,49.89999999999999857891452847979962825775146484375,100.5,0.99999996621616159850816010097679421513560698182346 0.5500000000000000444089209850062616169452667236328125,49.89999999999999857891452847979962825775146484375,120,0.99999999999326925937674082706775771918631330732291 0.5500000000000000444089209850062616169452667236328125,49.89999999999999857891452847979962825775146484375,150,0.99999999999999999741699242962459039451432662461809 -0.5500000000000000444089209850062616169452667236328125,49.89999999999999857891452847979962825775146484375,500,1.0000000000000000000000000000000000000000000000000 -0.5500000000000000444089209850062616169452667236328125,50,0.1000000000000000055511151231257827021181583404541015625,6.5068237261098257287276559223108864977154214051880e-16 +0.5500000000000000444089209850062616169452667236328125,49.89999999999999857891452847979962825775146484375,500,1.0 +0.5500000000000000444089209850062616169452667236328125,50,0.1000000000000000055511151231257827021181583404541015625,6.506823726109825728727655922310886497715421405188e-16 0.5500000000000000444089209850062616169452667236328125,50,0.200000000000000011102230246251565404236316680908203125,0.0000000000000018438693333194386998374565845617007776298646639911 0.5500000000000000444089209850062616169452667236328125,50,0.299999999999999988897769753748434595763683319091796875,0.0000000000000038701345946565762678358694299032757825235318940559 0.5500000000000000444089209850062616169452667236328125,50,0.5,0.000000000000012227084008327682635635682243795753434439582839748 @@ -11626,7 +11626,7 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,50,2,0.0000000000024502045216515451771320920528319087863797979204119 0.5500000000000000444089209850062616169452667236328125,50,2.100000000000000088817841970012523233890533447265625,0.0000000000032140654174977587056712889516562144772094919451307 0.5500000000000000444089209850062616169452667236328125,50,2.5,0.0000000000090023908224799812585200846500643897793088835970329 -0.5500000000000000444089209850062616169452667236328125,50,2.899999999999999911182158029987476766109466552734375,0.000000000023374950835281581346760307813020690546607652174530 +0.5500000000000000444089209850062616169452667236328125,50,2.899999999999999911182158029987476766109466552734375,0.00000000002337495083528158134676030781302069054660765217453 0.5500000000000000444089209850062616169452667236328125,50,3,0.000000000029369871752881683701979252312773504884135245164187 0.5500000000000000444089209850062616169452667236328125,50,14,0.000048361300246609620483124791212936651213661464335443 0.5500000000000000444089209850062616169452667236328125,50,14.0999999999999996447286321199499070644378662109375,0.000052279186248024064075058552865857843098072478842906 @@ -11645,9 +11645,9 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,50,100,0.99999995633579406889802211061897183176271717811625 0.5500000000000000444089209850062616169452667236328125,50,100.099999999999994315658113919198513031005859375,0.99999995807990163752687959778575611929918483305263 0.5500000000000000444089209850062616169452667236328125,50,100.5,0.99999996439798669215472211201268560900294569989129 -0.5500000000000000444089209850062616169452667236328125,50,120,0.99999999999282185996621905425514889602862512245922 +0.5500000000000000444089209850062616169452667236328125,50,120,0.99999999999282185996621905425514889602862512245923 0.5500000000000000444089209850062616169452667236328125,50,150,0.99999999999999999720074491912839096741529113428192 -0.5500000000000000444089209850062616169452667236328125,50,500,1.0000000000000000000000000000000000000000000000000 +0.5500000000000000444089209850062616169452667236328125,50,500,1.0 0.5500000000000000444089209850062616169452667236328125,50.10000000000000142108547152020037174224853515625,0.1000000000000000055511151231257827021181583404541015625,6.1184632535908840463550160808789254127950998076623e-16 0.5500000000000000444089209850062616169452667236328125,50.10000000000000142108547152020037174224853515625,0.200000000000000011102230246251565404236316680908203125,0.0000000000000017341591634624220443322767478111639398227511415458 0.5500000000000000444089209850062616169452667236328125,50.10000000000000142108547152020037174224853515625,0.299999999999999988897769753748434595763683319091796875,0.0000000000000036405768151228034403372639951581901507919016603533 @@ -11658,8 +11658,8 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,50.10000000000000142108547152020037174224853515625,1.899999999999999911182158029987476766109466552734375,0.0000000000017515344090243039447173036929350633051309114606184 0.5500000000000000444089209850062616169452667236328125,50.10000000000000142108547152020037174224853515625,2,0.0000000000023124344909549288711369154104546967824538983146895 0.5500000000000000444089209850062616169452667236328125,50.10000000000000142108547152020037174224853515625,2.100000000000000088817841970012523233890533447265625,0.0000000000030339187154495799892230060306832968042051293471749 -0.5500000000000000444089209850062616169452667236328125,50.10000000000000142108547152020037174224853515625,2.5,0.0000000000085042084075895707787336056636396549742738903592350 -0.5500000000000000444089209850062616169452667236328125,50.10000000000000142108547152020037174224853515625,2.899999999999999911182158029987476766109466552734375,0.000000000022097891377142866902884730115887984374461303012330 +0.5500000000000000444089209850062616169452667236328125,50.10000000000000142108547152020037174224853515625,2.5,0.000000000008504208407589570778733605663639654974273890359235 +0.5500000000000000444089209850062616169452667236328125,50.10000000000000142108547152020037174224853515625,2.899999999999999911182158029987476766109466552734375,0.00000000002209789137714286690288473011588798437446130301233 0.5500000000000000444089209850062616169452667236328125,50.10000000000000142108547152020037174224853515625,3,0.000000000027770441490091073685096979064938017802847500710927 0.5500000000000000444089209850062616169452667236328125,50.10000000000000142108547152020037174224853515625,14,0.000046572564725723417651828385247676853411232428485234 0.5500000000000000444089209850062616169452667236328125,50.10000000000000142108547152020037174224853515625,14.0999999999999996447286321199499070644378662109375,0.000050353044309092750168474623098611857073703758421011 @@ -11670,23 +11670,23 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,50.10000000000000142108547152020037174224853515625,20.10000000000000142108547152020037174224853515625,0.0022398508412758103089413688589812743814429032080641 0.5500000000000000444089209850062616169452667236328125,50.10000000000000142108547152020037174224853515625,49.5,0.82576837889679219939709912205654404746241697914105 0.5500000000000000444089209850062616169452667236328125,50.10000000000000142108547152020037174224853515625,49.89999999999999857891452847979962825775146484375,0.83643519968902288170894194207427215911909119530459 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0.5500000000000000444089209850062616169452667236328125,50.5,1.5,0.00000000000042392828711553522211277882451453685099336677955949 0.5500000000000000444089209850062616169452667236328125,50.5,1.899999999999999911182158029987476766109466552734375,0.0000000000013884927825837631035983676062756732616062115465612 0.5500000000000000444089209850062616169452667236328125,50.5,2,0.0000000000018345182670375785460966330057310727963569039357855 @@ -11699,12 +11699,12 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,50.5,14.199999999999999289457264239899814128875732421875,0.000046833717067464984617560566564486775339379760925145 0.5500000000000000444089209850062616169452667236328125,50.5,14.9000000000000003552713678800500929355621337890625,0.000079643685050433850647220907812177143807453965814426 0.5500000000000000444089209850062616169452667236328125,50.5,19.89999999999999857891452847979962825775146484375,0.0017968013934143822308478336741478120870947793870314 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+0.5500000000000000444089209850062616169452667236328125,50.5,50.10000000000000142108547152020037174224853515625,0.8322116982872993615671291834747977533964265938694 0.5500000000000000444089209850062616169452667236328125,50.5,50.5,0.84255761927459040641537572067913817098474557457063 0.5500000000000000444089209850062616169452667236328125,50.5,99.5,0.99999993081844394039554310431108062502697242765396 0.5500000000000000444089209850062616169452667236328125,50.5,99.900000000000005684341886080801486968994140625,0.99999994112501865651129701804268822674814873056942 @@ -11713,9 +11713,9 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,50.5,100.5,0.99999995382216808031226586829374871846034464885469 0.5500000000000000444089209850062616169452667236328125,50.5,120,0.99999999999011822970266464942723236259260920327983 0.5500000000000000444089209850062616169452667236328125,50.5,150,0.99999999999999999582512397401015132586890482176492 -0.5500000000000000444089209850062616169452667236328125,50.5,500,1.0000000000000000000000000000000000000000000000000 +0.5500000000000000444089209850062616169452667236328125,50.5,500,1.0 0.5500000000000000444089209850062616169452667236328125,99.5,0.1000000000000000055511151231257827021181583404541015625,4.9767388203046952648379974601185136788324960868807e-29 -0.5500000000000000444089209850062616169452667236328125,99.5,0.200000000000000011102230246251565404236316680908203125,1.5095955589956561414146891725930938674976463615780e-28 +0.5500000000000000444089209850062616169452667236328125,99.5,0.200000000000000011102230246251565404236316680908203125,1.509595558995656141414689172593093867497646361578e-28 0.5500000000000000444089209850062616169452667236328125,99.5,0.299999999999999988897769753748434595763683319091796875,3.3912988243895440263933022216949177814910432500215e-28 0.5500000000000000444089209850062616169452667236328125,99.5,0.5,1.2270069204643410013730943020644190575614872761823e-27 0.5500000000000000444089209850062616169452667236328125,99.5,1,1.4658434970164117770985369236547924478570107663491e-26 @@ -11738,19 +11738,19 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,99.5,49.89999999999999857891452847979962825775146484375,0.0018622706159755936713040638295829705426463887035927 0.5500000000000000444089209850062616169452667236328125,99.5,50,0.0019247876796811308699167403011611149343303559951077 0.5500000000000000444089209850062616169452667236328125,99.5,50.10000000000000142108547152020037174224853515625,0.0019891464876768689175838741124274324434258518438211 -0.5500000000000000444089209850062616169452667236328125,99.5,50.5,0.0022659212724286689714706982677263235581912016566760 -0.5500000000000000444089209850062616169452667236328125,99.5,99.5,0.92109058190391116429351208484546241647386373392090 +0.5500000000000000444089209850062616169452667236328125,99.5,50.5,0.002265921272428668971470698267726323558191201656676 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0.5500000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,0.299999999999999988897769753748434595763683319091796875,2.6626095995110782058422484493298752241006278593838e-28 -0.5500000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,0.5,9.6412476545866810239287558092348781025777358741590e-28 +0.5500000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,0.5,9.641247654586681023928755809234878102577735874159e-28 0.5500000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,1,1.1540714051198603614220150828838907937685881630776e-26 0.5500000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,1.100000000000000088817841970012523233890533447265625,1.7779872107107096466012866335624878255780778898917e-26 0.5500000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,1.5,8.8167507385687648536265191872390668161601095457564e-26 @@ -11759,19 +11759,19 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,2.100000000000000088817841970012523233890533447265625,7.4354107171346128887266063262110190649900574968839e-25 0.5500000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,2.5,2.7147333919069844287060807613578131956750443409663e-24 0.5500000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,2.899999999999999911182158029987476766109466552734375,9.1739692282650154226308706596440959661560797752784e-24 -0.5500000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,3,1.2308701110119334117823684773950185105683336640960e-23 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0.5500000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,50.10000000000000142108547152020037174224853515625,0.0018279173884873094161757138586218450361184435521041 -0.5500000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,50.5,0.0020843173208519021179826076127406022684205235810100 +0.5500000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,50.5,0.00208431732085190211798260761274060226842052358101 0.5500000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,99.5,0.91704369834455204546136024988366463059713356319036 0.5500000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,99.900000000000005684341886080801486968994140625,0.92150808438383381027112740803184378225248008583471 0.5500000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,100,0.92259384394789031052963682542505709135318052889379 @@ -11779,7 +11779,7 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,100.5,0.92784457200799448138197316869831060421117148065356 0.5500000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,120,0.99777254838057395724621415649689586151214302305504 0.5500000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,150,0.99999905987352763075111822135455226008763209386926 -0.5500000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,500,1.0000000000000000000000000000000000000000000000000 +0.5500000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,500,1.0 0.5500000000000000444089209850062616169452667236328125,100,0.1000000000000000055511151231257827021181583404541015625,3.6744361888134602813866470534021663760230247545181e-29 0.5500000000000000444089209850062616169452667236328125,100,0.200000000000000011102230246251565404236316680908203125,1.1151220930353504744619202041583438685298374165747e-28 0.5500000000000000444089209850062616169452667236328125,100,0.299999999999999988897769753748434595763683319091796875,2.5063608342679729881175290216211239159246626694209e-28 @@ -11797,7 +11797,7 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,100,14.0999999999999996447286321199499070644378662109375,0.000000000000017523352139062317469113031650112838907988656047211 0.5500000000000000444089209850062616169452667236328125,100,14.199999999999999289457264239899814128875732421875,0.000000000000020025503815948672429900650032949643728437545894468 0.5500000000000000444089209850062616169452667236328125,100,14.9000000000000003552713678800500929355621337890625,0.000000000000050083159712883499106724728467894325061153260279999 -0.5500000000000000444089209850062616169452667236328125,100,19.89999999999999857891452847979962825775146484375,0.000000000016025369747410514226499310930393131320182550267230 +0.5500000000000000444089209850062616169452667236328125,100,19.89999999999999857891452847979962825775146484375,0.00000000001602536974741051422649931093039313132018255026723 0.5500000000000000444089209850062616169452667236328125,100,20,0.000000000017766948643557347363198721121312258014334884917062 0.5500000000000000444089209850062616169452667236328125,100,20.10000000000000142108547152020037174224853515625,0.000000000019689389647605462586736598160642674367892224594843 0.5500000000000000444089209850062616169452667236328125,100,49.5,0.0014634905064373827059689033170971450046045574730854 @@ -11808,15 +11808,15 @@ arg0,arg1,arg2,expectedresult 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0.5500000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,0.299999999999999988897769753748434595763683319091796875,2.3592827567191792795515859346828422789402204336074e-28 -0.5500000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,0.5,8.5462899474736435596609351896689298296072231118200e-28 +0.5500000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,0.5,8.54628994747364355966093518966892982960722311182e-28 0.5500000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,1,1.0240124064395983883185347937689952227945506658265e-26 0.5500000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,1.100000000000000088817841970012523233890533447265625,1.5779256498214498548748256095278997771858164380177e-26 0.5500000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,1.5,7.8308165052856931327716554104523599821540266873016e-26 @@ -11845,7 +11845,7 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,100.5,0.92597453896789602767320295009100794820980449739483 0.5500000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,120,0.99767656067798753032664100644101918490544720178157 0.5500000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,150,0.99999899524162168875564344474966907697091906845562 -0.5500000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,500,1.0000000000000000000000000000000000000000000000000 +0.5500000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,500,1.0 0.5500000000000000444089209850062616169452667236328125,100.5,0.1000000000000000055511151231257827021181583404541015625,2.7129769952028753569840943378542826147651947474335e-29 0.5500000000000000444089209850062616169452667236328125,100.5,0.200000000000000011102230246251565404236316680908203125,8.2374483218797598341519725003928668884635201966361e-29 0.5500000000000000444089209850062616169452667236328125,100.5,0.299999999999999988897769753748434595763683319091796875,1.8523734032901590986578999675361140067966939909475e-28 @@ -11855,30 +11855,30 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,100.5,1.5,6.1773401799003824625336760294056984908887490961078e-26 0.5500000000000000444089209850062616169452667236328125,100.5,1.899999999999999911182158029987476766109466552734375,2.6398253569778755739747270811551477095126011876936e-25 0.5500000000000000444089209850062616169452667236328125,100.5,2,3.7267238607270998328885349392515052672869308865701e-25 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0.5500000000000000444089209850062616169452667236328125,100.5,50,0.0015558166112896106140405778605214666093804070764618 0.5500000000000000444089209850062616169452667236328125,100.5,50.10000000000000142108547152020037174224853515625,0.0016088329819982499010843567409696886646682134685421 0.5500000000000000444089209850062616169452667236328125,100.5,50.5,0.0018372180370142059798045977249426825746798309752194 -0.5500000000000000444089209850062616169452667236328125,100.5,99.5,0.91070000176455127945717031752062118881224540646100 +0.5500000000000000444089209850062616169452667236328125,100.5,99.5,0.910700001764551279457170317520621188812245406461 0.5500000000000000444089209850062616169452667236328125,100.5,99.900000000000005684341886080801486968994140625,0.91542011844204996179201055250572279579640496014507 0.5500000000000000444089209850062616169452667236328125,100.5,100,0.91656894350350296583780189033472898797232404803582 0.5500000000000000444089209850062616169452667236328125,100.5,100.099999999999994315658113919198513031005859375,0.91770543776151192259422690311398402241289002286917 -0.5500000000000000444089209850062616169452667236328125,100.5,100.5,0.92212963991784715370001516637236349125697150529440 +0.5500000000000000444089209850062616169452667236328125,100.5,100.5,0.9221296399178471537000151663723634912569715052944 0.5500000000000000444089209850062616169452667236328125,100.5,120,0.99747358060989318125198802979877751498789599350563 0.5500000000000000444089209850062616169452667236328125,100.5,150,0.99999885315706513713482989005417223829753199264041 -0.5500000000000000444089209850062616169452667236328125,100.5,500,1.0000000000000000000000000000000000000000000000000 +0.5500000000000000444089209850062616169452667236328125,100.5,500,1.0 0.5500000000000000444089209850062616169452667236328125,120,0.1000000000000000055511151231257827021181583404541015625,2.0043436390845350156550534391259243606695280676151e-34 0.5500000000000000444089209850062616169452667236328125,120,0.200000000000000011102230246251565404236316680908203125,6.1938948852588708711086032917252075516164157380899e-34 0.5500000000000000444089209850062616169452667236328125,120,0.299999999999999988897769753748434595763683319091796875,1.4175470877678555393787231891992999148536806750815e-33 @@ -11897,26 +11897,26 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,120,14.199999999999999289457264239899814128875732421875,1.1978343090862462099582986872286381758308273523908e-18 0.5500000000000000444089209850062616169452667236328125,120,14.9000000000000003552713678800500929355621337890625,3.3482808488552170260591627116261145301798351779789e-18 0.5500000000000000444089209850062616169452667236328125,120,19.89999999999999857891452847979962825775146484375,0.0000000000000023269070060052167128009354917462183875101181096299 -0.5500000000000000444089209850062616169452667236328125,120,20,0.0000000000000026192456035108333176708187411358129999823844002388 +0.5500000000000000444089209850062616169452667236328125,120,20,0.0000000000000026192456035108333176708187411358129999823844002387 0.5500000000000000444089209850062616169452667236328125,120,20.10000000000000142108547152020037174224853515625,0.0000000000000029470160479995126426953255649278892256691427976052 0.5500000000000000444089209850062616169452667236328125,120,49.5,0.000011461612192947606582789676632189109678298432181721 0.5500000000000000444089209850062616169452667236328125,120,49.89999999999999857891452847979962825775146484375,0.000013750000584693982172839985081932008322991000247919 0.5500000000000000444089209850062616169452667236328125,120,50,0.000014385142911000717439015825573767781870157805018715 0.5500000000000000444089209850062616169452667236328125,120,50.10000000000000142108547152020037174224853515625,0.000015047517733964030731063280797094453189374105105356 0.5500000000000000444089209850062616169452667236328125,120,50.5,0.000017991322524584024187264038202333300125893662832203 -0.5500000000000000444089209850062616169452667236328125,120,99.5,0.53744763567939271645031964883734004810654749827304 +0.5500000000000000444089209850062616169452667236328125,120,99.5,0.53744763567939271645031964883734004810654749827303 0.5500000000000000444089209850062616169452667236328125,120,99.900000000000005684341886080801486968994140625,0.54925652074798508430893996444516149494637238775229 0.5500000000000000444089209850062616169452667236328125,120,100,0.55219876985229303320760385671954563224553556546919 0.5500000000000000444089209850062616169452667236328125,120,100.099999999999994315658113919198513031005859375,0.55513672075460072389767919545951451133926139580223 0.5500000000000000444089209850062616169452667236328125,120,100.5,0.56684249520129636170631496610167751301833489204557 0.5500000000000000444089209850062616169452667236328125,120,120,0.93960567545153850285086881666364244512694251277944 -0.5500000000000000444089209850062616169452667236328125,120,150,0.99974558462619913505281567583629470503422934513810 -0.5500000000000000444089209850062616169452667236328125,120,500,1.0000000000000000000000000000000000000000000000000 +0.5500000000000000444089209850062616169452667236328125,120,150,0.9997455846261991350528156758362947050342293451381 +0.5500000000000000444089209850062616169452667236328125,120,500,1.0 0.5500000000000000444089209850062616169452667236328125,150,0.1000000000000000055511151231257827021181583404541015625,2.6695080123309013332731046650554606108368471806511e-42 0.5500000000000000444089209850062616169452667236328125,150,0.200000000000000011102230246251565404236316680908203125,8.4344126236079904563530783985884297791573094552502e-42 0.5500000000000000444089209850062616169452667236328125,150,0.299999999999999988897769753748434595763683319091796875,1.9735723770032735745320250489282313944336523382056e-41 0.5500000000000000444089209850062616169452667236328125,150,0.5,7.7459442123159670315690174280614468987100534297775e-41 -0.5500000000000000444089209850062616169452667236328125,150,1,1.1334527594920345312953087821322123363080139893600e-39 +0.5500000000000000444089209850062616169452667236328125,150,1,1.13345275949203453129530878213221233630801398936e-39 0.5500000000000000444089209850062616169452667236328125,150,1.100000000000000088817841970012523233890533447265625,1.8176113931698895909174632866258366015487200706374e-39 0.5500000000000000444089209850062616169452667236328125,150,1.5,1.0576472079527875351002229674335107792168189341242e-38 0.5500000000000000444089209850062616169452667236328125,150,1.899999999999999911182158029987476766109466552734375,5.2884091371109928302512897770775836564145015947363e-38 @@ -11929,22 +11929,22 @@ arg0,arg1,arg2,expectedresult 0.5500000000000000444089209850062616169452667236328125,150,14.0999999999999996447286321199499070644378662109375,2.6220850552073217388996228059835438891218104442047e-25 0.5500000000000000444089209850062616169452667236328125,150,14.199999999999999289457264239899814128875732421875,3.1061705597284611098943136141527057468294391116479e-25 0.5500000000000000444089209850062616169452667236328125,150,14.9000000000000003552713678800500929355621337890625,9.9834418676837101001340875252347110000097353020011e-25 -0.5500000000000000444089209850062616169452667236328125,150,19.89999999999999857891452847979962825775146484375,1.8439483704416671511052369452856321060668242278610e-21 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@@ arg0,arg1,arg2,expectedresult 0.65000000000000002220446049250313080847263336181640625,1.100000000000000088817841970012523233890533447265625,1.100000000000000088817841970012523233890533447265625,0.65847826247878110624324701146693137734800070591596 0.65000000000000002220446049250313080847263336181640625,1.100000000000000088817841970012523233890533447265625,1.5,0.77151894793301466882961856666450559267455882391676 0.65000000000000002220446049250313080847263336181640625,1.100000000000000088817841970012523233890533447265625,1.899999999999999911182158029987476766109466552734375,0.84757512726121078486289273109578638036324242561264 -0.65000000000000002220446049250313080847263336181640625,1.100000000000000088817841970012523233890533447265625,2,0.86229221601980052926100085281902591860610469627330 +0.65000000000000002220446049250313080847263336181640625,1.100000000000000088817841970012523233890533447265625,2,0.8622922160198005292610008528190259186061046962733 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0.65000000000000002220446049250313080847263336181640625,1.5,100.099999999999994315658113919198513031005859375,0.99999999999999999999999999999999999999999999789567 0.65000000000000002220446049250313080847263336181640625,1.5,100.5,0.99999999999999999999999999999999999999999999861453 -0.65000000000000002220446049250313080847263336181640625,1.5,120,1.0000000000000000000000000000000000000000000000000 -0.65000000000000002220446049250313080847263336181640625,1.5,150,1.0000000000000000000000000000000000000000000000000 -0.65000000000000002220446049250313080847263336181640625,1.5,500,1.0000000000000000000000000000000000000000000000000 +0.65000000000000002220446049250313080847263336181640625,1.5,120,1.0 +0.65000000000000002220446049250313080847263336181640625,1.5,150,1.0 +0.65000000000000002220446049250313080847263336181640625,1.5,500,1.0 0.65000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,0.1000000000000000055511151231257827021181583404541015625,0.044459027542382145290852592192271189901000669451295 0.65000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,0.200000000000000011102230246251565404236316680908203125,0.090336361032922217475075082710107833920518990142399 0.65000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,0.299999999999999988897769753748434595763683319091796875,0.13685016941767208750641968185631949535311429868821 0.65000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,0.5,0.22939721503608747929193090503937542290586159341059 -0.65000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,1,0.44109829351778128673406284870185985456562431848670 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0.65000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,50.10000000000000142108547152020037174224853515625,0.99999999999999999999964709794780431288282216032265 0.65000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,50.5,0.99999999999999999999976649271980673376398352602548 @@ -13328,9 +13328,9 @@ arg0,arg1,arg2,expectedresult 0.65000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,100,0.99999999999999999999999999999999999999999998848853 0.65000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,100.099999999999994315658113919198513031005859375,0.99999999999999999999999999999999999999999998962656 0.65000000000000002220446049250313080847263336181640625,1.899999999999999911182158029987476766109466552734375,100.5,0.99999999999999999999999999999999999999999999315953 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0.65000000000000002220446049250313080847263336181640625,2,0.1000000000000000055511151231257827021181583404541015625,0.041137327779464788864251115850975353969598097013621 0.65000000000000002220446049250313080847263336181640625,2,0.200000000000000011102230246251565404236316680908203125,0.084007216098187512853841936955750772638399840672329 0.65000000000000002220446049250313080847263336181640625,2,0.299999999999999988897769753748434595763683319091796875,0.12785575656184393156699337799720175128380662326928 @@ -13342,7 +13342,7 @@ arg0,arg1,arg2,expectedresult 0.65000000000000002220446049250313080847263336181640625,2,2,0.71825000000000003030908857226677310983088535206023 0.65000000000000002220446049250313080847263336181640625,2,2.100000000000000088817841970012523233890533447265625,0.73916009208855233937713480794499476226118488718726 0.65000000000000002220446049250313080847263336181640625,2,2.5,0.80976105947470299778071316266491792758385131465503 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arg0,arg1,arg2,expectedresult 0.65000000000000002220446049250313080847263336181640625,99.5,100.5,0.99999480946293829196560978113080142278185167651542 0.65000000000000002220446049250313080847263336181640625,99.5,120,0.99999999857155448314583460734925248815297779044806 0.65000000000000002220446049250313080847263336181640625,99.5,150,0.99999999999999964285565563717674161669151523208194 -0.65000000000000002220446049250313080847263336181640625,99.5,500,1.0000000000000000000000000000000000000000000000000 +0.65000000000000002220446049250313080847263336181640625,99.5,500,1.0 0.65000000000000002220446049250313080847263336181640625,99.900000000000005684341886080801486968994140625,0.1000000000000000055511151231257827021181583404541015625,8.6143794935493418709481713670549879225585124056568e-22 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0.65000000000000002220446049250313080847263336181640625,500,49.89999999999999857891452847979962825775146484375,4.3590517111731793115037994727407257018975013072611e-46 0.65000000000000002220446049250313080847263336181640625,500,50,4.9953910760195328139645144810999393670983806091634e-46 @@ -14154,7 +14154,7 @@ arg0,arg1,arg2,expectedresult 0.65000000000000002220446049250313080847263336181640625,500,100.099999999999994315658113919198513031005859375,6.5559981094308313730865158541315162985417760837503e-24 0.65000000000000002220446049250313080847263336181640625,500,100.5,8.8474655344788694457172314183696929952187114350346e-24 0.65000000000000002220446049250313080847263336181640625,500,120,4.3786633118912042272387313638148963775593592672383e-18 -0.65000000000000002220446049250313080847263336181640625,500,150,0.000000000019686291510707697019070183735005525192707680026290 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0.8000000000000000444089209850062616169452667236328125,19.89999999999999857891452847979962825775146484375,0.200000000000000011102230246251565404236316680908203125,0.00074690489843754257025842017382687538307303376821473 0.8000000000000000444089209850062616169452667236328125,19.89999999999999857891452847979962825775146484375,0.299999999999999988897769753748434595763683319091796875,0.0013343357063505149942185145180201304316632285978488 @@ -16907,7 +16907,7 @@ arg0,arg1,arg2,expectedresult 0.8000000000000000444089209850062616169452667236328125,19.89999999999999857891452847979962825775146484375,2.100000000000000088817841970012523233890533447265625,0.066125176095254279363431980066089540014429812524785 0.8000000000000000444089209850062616169452667236328125,19.89999999999999857891452847979962825775146484375,2.5,0.10116594024756707100375215924699653580050183817055 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0.8000000000000000444089209850062616169452667236328125,19.89999999999999857891452847979962825775146484375,14.199999999999999289457264239899814128875732421875,0.99771888571912761726982030065906358530578645164045 @@ -16924,13 +16924,13 @@ arg0,arg1,arg2,expectedresult 0.8000000000000000444089209850062616169452667236328125,19.89999999999999857891452847979962825775146484375,99.900000000000005684341886080801486968994140625,0.99999999999999999999999999999999999999999999999999 0.8000000000000000444089209850062616169452667236328125,19.89999999999999857891452847979962825775146484375,100,0.99999999999999999999999999999999999999999999999999 0.8000000000000000444089209850062616169452667236328125,19.89999999999999857891452847979962825775146484375,100.099999999999994315658113919198513031005859375,0.99999999999999999999999999999999999999999999999999 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0.8000000000000000444089209850062616169452667236328125,20,1,0.011529215046068482560000000000006750155989720954014 0.8000000000000000444089209850062616169452667236328125,20,1.100000000000000088817841970012523233890533447265625,0.014191126003099933884610304370705107576640926679881 @@ -16940,7 +16940,7 @@ arg0,arg1,arg2,expectedresult 0.8000000000000000444089209850062616169452667236328125,20,2.100000000000000088817841970012523233890533447265625,0.064950329033308750356142074777494959282393230872394 0.8000000000000000444089209850062616169452667236328125,20,2.5,0.099515608491072890341048802901929642576180912366751 0.8000000000000000444089209850062616169452667236328125,20,2.899999999999999911182158029987476766109466552734375,0.14249919643653160869601357150014575323782991881822 -0.8000000000000000444089209850062616169452667236328125,20,3,0.15449148161731761305600000000003610978183132829570 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0.8000000000000000444089209850062616169452667236328125,20.10000000000000142108547152020037174224853515625,0.1000000000000000055511151231257827021181583404541015625,0.00029397924150459437864225789491223177252069889842346 0.8000000000000000444089209850062616169452667236328125,20.10000000000000142108547152020037174224853515625,0.200000000000000011102230246251565404236316680908203125,0.00070936142124742751099453218054366377938362097716169 0.8000000000000000444089209850062616169452667236328125,20.10000000000000142108547152020037174224853515625,0.299999999999999988897769753748434595763683319091796875,0.0012683984912042472178456283552803802201331589493331 @@ -16970,9 +16970,9 @@ arg0,arg1,arg2,expectedresult 0.8000000000000000444089209850062616169452667236328125,20.10000000000000142108547152020037174224853515625,1.5,0.028262264414077194420885584566243689785732933062056 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arg0,arg1,arg2,expectedresult 0.8000000000000000444089209850062616169452667236328125,20.10000000000000142108547152020037174224853515625,100,0.99999999999999999999999999999999999999999999999999 0.8000000000000000444089209850062616169452667236328125,20.10000000000000142108547152020037174224853515625,100.099999999999994315658113919198513031005859375,0.99999999999999999999999999999999999999999999999999 0.8000000000000000444089209850062616169452667236328125,20.10000000000000142108547152020037174224853515625,100.5,0.99999999999999999999999999999999999999999999999999 -0.8000000000000000444089209850062616169452667236328125,20.10000000000000142108547152020037174224853515625,120,1.0000000000000000000000000000000000000000000000000 -0.8000000000000000444089209850062616169452667236328125,20.10000000000000142108547152020037174224853515625,150,1.0000000000000000000000000000000000000000000000000 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0.8000000000000000444089209850062616169452667236328125,49.5,100.099999999999994315658113919198513031005859375,0.99999999999999999999999999999999999019954334378147 0.8000000000000000444089209850062616169452667236328125,49.5,100.5,0.99999999999999999999999999999999999397902324737906 -0.8000000000000000444089209850062616169452667236328125,49.5,120,0.99999999999999999999999999999999999999999999983330 -0.8000000000000000444089209850062616169452667236328125,49.5,150,1.0000000000000000000000000000000000000000000000000 -0.8000000000000000444089209850062616169452667236328125,49.5,500,1.0000000000000000000000000000000000000000000000000 +0.8000000000000000444089209850062616169452667236328125,49.5,120,0.9999999999999999999999999999999999999999999998333 +0.8000000000000000444089209850062616169452667236328125,49.5,150,1.0 +0.8000000000000000444089209850062616169452667236328125,49.5,500,1.0 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+17054,12 @@ arg0,arg1,arg2,expectedresult 0.8000000000000000444089209850062616169452667236328125,49.89999999999999857891452847979962825775146484375,50.5,0.99999999999208905168126867713982518104103640758047 0.8000000000000000444089209850062616169452667236328125,49.89999999999999857891452847979962825775146484375,99.5,0.99999999999999999999999999999999997102270475861943 0.8000000000000000444089209850062616169452667236328125,49.89999999999999857891452847979962825775146484375,99.900000000000005684341886080801486968994140625,0.99999999999999999999999999999999998216481442995748 -0.8000000000000000444089209850062616169452667236328125,49.89999999999999857891452847979962825775146484375,100,0.99999999999999999999999999999999998420398960941610 +0.8000000000000000444089209850062616169452667236328125,49.89999999999999857891452847979962825775146484375,100,0.9999999999999999999999999999999999842039896094161 0.8000000000000000444089209850062616169452667236328125,49.89999999999999857891452847979962825775146484375,100.099999999999994315658113919198513031005859375,0.99999999999999999999999999999999998601046857451968 0.8000000000000000444089209850062616169452667236328125,49.89999999999999857891452847979962825775146484375,100.5,0.99999999999999999999999999999999999139627638409986 0.8000000000000000444089209850062616169452667236328125,49.89999999999999857891452847979962825775146484375,120,0.99999999999999999999999999999999999999999999974988 -0.8000000000000000444089209850062616169452667236328125,49.89999999999999857891452847979962825775146484375,150,1.0000000000000000000000000000000000000000000000000 -0.8000000000000000444089209850062616169452667236328125,49.89999999999999857891452847979962825775146484375,500,1.0000000000000000000000000000000000000000000000000 +0.8000000000000000444089209850062616169452667236328125,49.89999999999999857891452847979962825775146484375,150,1.0 +0.8000000000000000444089209850062616169452667236328125,49.89999999999999857891452847979962825775146484375,500,1.0 0.8000000000000000444089209850062616169452667236328125,50,0.1000000000000000055511151231257827021181583404541015625,0.00000017699043565449128343979332614735320452844684802628 0.8000000000000000444089209850062616169452667236328125,50,0.200000000000000011102230246251565404236316680908203125,0.00000046463291568953211238102620833462783032329057292857 0.8000000000000000444089209850062616169452667236328125,50,0.299999999999999988897769753748434595763683319091796875,0.00000090348510920647700930845993711131001600672095680722 @@ -17078,8 +17078,8 @@ arg0,arg1,arg2,expectedresult 0.8000000000000000444089209850062616169452667236328125,50,14.199999999999999289457264239899814128875732421875,0.64094701141902902940443871536930147486709943233658 0.8000000000000000444089209850062616169452667236328125,50,14.9000000000000003552713678800500929355621337890625,0.70178143548871965833766582575223625565685329185231 0.8000000000000000444089209850062616169452667236328125,50,19.89999999999999857891452847979962825775146484375,0.95026393243791318235725366113586817993856279467571 -0.8000000000000000444089209850062616169452667236328125,50,20,0.95238670924583359555047675887627838844727436931660 -0.8000000000000000444089209850062616169452667236328125,50,20.10000000000000142108547152020037174224853515625,0.95443189983532246981650623742814788417226276910690 +0.8000000000000000444089209850062616169452667236328125,50,20,0.9523867092458335955504767588762783884472743693166 +0.8000000000000000444089209850062616169452667236328125,50,20.10000000000000142108547152020037174224853515625,0.9544318998353224698165062374281478841722627691069 0.8000000000000000444089209850062616169452667236328125,50,49.5,0.99999999997879673127582642004507446726000357925463 0.8000000000000000444089209850062616169452667236328125,50,49.89999999999999857891452847979962825775146484375,0.99999999998540903299292464805222510425793922732407 0.8000000000000000444089209850062616169452667236328125,50,50,0.99999999998671380036813977655505275602863512050797 @@ -17091,8 +17091,8 @@ arg0,arg1,arg2,expectedresult 0.8000000000000000444089209850062616169452667236328125,50,100.099999999999994315658113919198513031005859375,0.99999999999999999999999999999999998471396276291089 0.8000000000000000444089209850062616169452667236328125,50,100.5,0.99999999999999999999999999999999999059641050540367 0.8000000000000000444089209850062616169452667236328125,50,120,0.99999999999999999999999999999999999999999999972328 -0.8000000000000000444089209850062616169452667236328125,50,150,1.0000000000000000000000000000000000000000000000000 -0.8000000000000000444089209850062616169452667236328125,50,500,1.0000000000000000000000000000000000000000000000000 +0.8000000000000000444089209850062616169452667236328125,50,150,1.0 +0.8000000000000000444089209850062616169452667236328125,50,500,1.0 0.8000000000000000444089209850062616169452667236328125,50.10000000000000142108547152020037174224853515625,0.1000000000000000055511151231257827021181583404541015625,0.00000017279393363907288216397598815494164509780575824498 0.8000000000000000444089209850062616169452667236328125,50.10000000000000142108547152020037174224853515625,0.200000000000000011102230246251565404236316680908203125,0.00000045370206242907007432908414109781148817860653340236 0.8000000000000000444089209850062616169452667236328125,50.10000000000000142108547152020037174224853515625,0.299999999999999988897769753748434595763683319091796875,0.00000088239620541038842974961939631630502485825935618024 @@ -17111,21 +17111,21 @@ arg0,arg1,arg2,expectedresult 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-0.8000000000000000444089209850062616169452667236328125,50.10000000000000142108547152020037174224853515625,150,1.0000000000000000000000000000000000000000000000000 -0.8000000000000000444089209850062616169452667236328125,50.10000000000000142108547152020037174224853515625,500,1.0000000000000000000000000000000000000000000000000 +0.8000000000000000444089209850062616169452667236328125,50.10000000000000142108547152020037174224853515625,150,1.0 +0.8000000000000000444089209850062616169452667236328125,50.10000000000000142108547152020037174224853515625,500,1.0 0.8000000000000000444089209850062616169452667236328125,50.5,0.1000000000000000055511151231257827021181583404541015625,0.00000015698456525830582060458793863511813701532249929882 0.8000000000000000444089209850062616169452667236328125,50.5,0.200000000000000011102230246251565404236316680908203125,0.00000041250194902214614231900741822966903347868422615336 0.8000000000000000444089209850062616169452667236328125,50.5,0.299999999999999988897769753748434595763683319091796875,0.00000080286909527061981620738824017149821224928207068993 @@ -17137,9 +17137,9 @@ arg0,arg1,arg2,expectedresult 0.8000000000000000444089209850062616169452667236328125,50.5,2,0.00014169917505593978197867444490819725177924083165444 0.8000000000000000444089209850062616169452667236328125,50.5,2.100000000000000088817841970012523233890533447265625,0.00017248185623456290091316497542180313414373911689842 0.8000000000000000444089209850062616169452667236328125,50.5,2.5,0.00035836974606922828192246580392636528239121881753084 -0.8000000000000000444089209850062616169452667236328125,50.5,2.899999999999999911182158029987476766109466552734375,0.00069075553859316067259220070343797202742500830170192 +0.8000000000000000444089209850062616169452667236328125,50.5,2.899999999999999911182158029987476766109466552734375,0.00069075553859316067259220070343797202742500830170191 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0.8000000000000000444089209850062616169452667236328125,50.5,49.5,0.99999999997312799352159737228711213526529944119625 0.8000000000000000444089209850062616169452667236328125,50.5,49.89999999999999857891452847979962825775146484375,0.99999999998147146936798839476778624289108699488598 0.8000000000000000444089209850062616169452667236328125,50.5,50,0.99999999998312001412913363513900376314576287722676 -0.8000000000000000444089209850062616169452667236328125,50.5,50.10000000000000142108547152020037174224853515625,0.99999999998462334860260152370380803658485889922290 +0.8000000000000000444089209850062616169452667236328125,50.5,50.10000000000000142108547152020037174224853515625,0.9999999999846233486026015237038080365848588992229 0.8000000000000000444089209850062616169452667236328125,50.5,50.5,0.99999999998942187221841136430985460027643291833318 0.8000000000000000444089209850062616169452667236328125,50.5,99.5,0.99999999999999999999999999999999995089897951769984 0.8000000000000000444089209850062616169452667236328125,50.5,99.900000000000005684341886080801486968994140625,0.99999999999999999999999999999999996973053905562649 @@ -17157,8 +17157,8 @@ arg0,arg1,arg2,expectedresult 0.8000000000000000444089209850062616169452667236328125,50.5,100.099999999999994315658113919198513031005859375,0.99999999999999999999999999999999997623834284928252 0.8000000000000000444089209850062616169452667236328125,50.5,100.5,0.99999999999999999999999999999999998536301450144322 0.8000000000000000444089209850062616169452667236328125,50.5,120,0.99999999999999999999999999999999999999999999954229 -0.8000000000000000444089209850062616169452667236328125,50.5,150,1.0000000000000000000000000000000000000000000000000 -0.8000000000000000444089209850062616169452667236328125,50.5,500,1.0000000000000000000000000000000000000000000000000 +0.8000000000000000444089209850062616169452667236328125,50.5,150,1.0 +0.8000000000000000444089209850062616169452667236328125,50.5,500,1.0 0.8000000000000000444089209850062616169452667236328125,99.5,0.1000000000000000055511151231257827021181583404541015625,0.0000000000015674502610559195567904367085220374247196186979158 0.8000000000000000444089209850062616169452667236328125,99.5,0.200000000000000011102230246251565404236316680908203125,0.0000000000043953280033294953855509166879041174195132146174933 0.8000000000000000444089209850062616169452667236328125,99.5,0.299999999999999988897769753748434595763683319091796875,0.0000000000091281645043165394813487259284472647307370952513605 @@ -17172,14 +17172,14 @@ arg0,arg1,arg2,expectedresult 0.8000000000000000444089209850062616169452667236328125,99.5,2.5,0.000000016439296695756303502386863454498670711431979251886 0.8000000000000000444089209850062616169452667236328125,99.5,2.899999999999999911182158029987476766109466552734375,0.000000040561886601698006181368641258886216957944333545774 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-0.8000000000000000444089209850062616169452667236328125,99.5,19.89999999999999857891452847979962825775146484375,0.16274416526726804556899886456632622736460078606670 -0.8000000000000000444089209850062616169452667236328125,99.5,20,0.16764401743237184086348408421274252644432034757170 +0.8000000000000000444089209850062616169452667236328125,99.5,19.89999999999999857891452847979962825775146484375,0.1627441652672680455689988645663262273646007860667 +0.8000000000000000444089209850062616169452667236328125,99.5,20,0.1676440174323718408634840842127425264443203475717 0.8000000000000000444089209850062616169452667236328125,99.5,20.10000000000000142108547152020037174224853515625,0.17262794202697188715088523457294842884291025781227 -0.8000000000000000444089209850062616169452667236328125,99.5,49.5,0.99991308004817129927988895921654244895827621550511 +0.8000000000000000444089209850062616169452667236328125,99.5,49.5,0.99991308004817129927988895921654244895827621550512 0.8000000000000000444089209850062616169452667236328125,99.5,49.89999999999999857891452847979962825775146484375,0.99992997371824490464478630557156767808762678908402 0.8000000000000000444089209850062616169452667236328125,99.5,50,0.99993367718318599493037086165102928428345422561386 0.8000000000000000444089209850062616169452667236328125,99.5,50.10000000000000142108547152020037174224853515625,0.99993719247146609224115803177655571598939138813732 @@ -17191,7 +17191,7 @@ arg0,arg1,arg2,expectedresult 0.8000000000000000444089209850062616169452667236328125,99.5,100.5,0.99999999999999999999904436792112112809779514832668 0.8000000000000000444089209850062616169452667236328125,99.5,120,0.99999999999999999999999999999469091242092151781461 0.8000000000000000444089209850062616169452667236328125,99.5,150,0.99999999999999999999999999999999999999999992574863 -0.8000000000000000444089209850062616169452667236328125,99.5,500,1.0000000000000000000000000000000000000000000000000 +0.8000000000000000444089209850062616169452667236328125,99.5,500,1.0 0.8000000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,0.1000000000000000055511151231257827021181583404541015625,0.0000000000014286243082433408317997623480793813112407553408734 0.8000000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,0.200000000000000011102230246251565404236316680908203125,0.0000000000040076001936588592266045784620315489920022762039798 0.8000000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,0.299999999999999988897769753748434595763683319091796875,0.0000000000083261680758342537969390969368585052991388457695004 @@ -17209,7 +17209,7 @@ arg0,arg1,arg2,expectedresult 0.8000000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,14.0999999999999996447286321199499070644378662109375,0.013179413560356991295545333143281267083023473218623 0.8000000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,14.199999999999999289457264239899814128875732421875,0.013961209556267765126976834367483612121832005360039 0.8000000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,14.9000000000000003552713678800500929355621337890625,0.020553209797146189357745049783949328435128583006416 -0.8000000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,19.89999999999999857891452847979962825775146484375,0.15846585082719947631386659972693185098509141769570 +0.8000000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,19.89999999999999857891452847979962825775146484375,0.1584658508271994763138665997269318509850914176957 0.8000000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,20,0.16327979100686762067517122065970038206237500356673 0.8000000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,20.10000000000000142108547152020037174224853515625,0.16817798572714833136651526133007116743407185280202 0.8000000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,49.5,0.99990619606718792895742543186937015565583193763213 @@ -17221,12 +17221,12 @@ arg0,arg1,arg2,expectedresult 0.8000000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,99.900000000000005684341886080801486968994140625,0.99999999999999999999797907110367820304648239309149 0.8000000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,100,0.99999999999999999999815802518993412729774506918195 0.8000000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,100.099999999999994315658113919198513031005859375,0.99999999999999999999832121447594547112340604989092 -0.8000000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,100.5,0.99999999999999999999884220755752732335870341508072 +0.8000000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,100.5,0.99999999999999999999884220755752732335870341508071 0.8000000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,120,0.99999999999999999999999999999332526888325002558794 -0.8000000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,150,0.99999999999999999999999999999999999999999990175820 -0.8000000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,500,1.0000000000000000000000000000000000000000000000000 +0.8000000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,150,0.9999999999999999999999999999999999999999999017582 +0.8000000000000000444089209850062616169452667236328125,99.900000000000005684341886080801486968994140625,500,1.0 0.8000000000000000444089209850062616169452667236328125,100,0.1000000000000000055511151231257827021181583404541015625,0.0000000000013958862089982725950748026374208027308412234309964 -0.8000000000000000444089209850062616169452667236328125,100,0.200000000000000011102230246251565404236316680908203125,0.0000000000039161423992157289226242824829308981556532500197690 +0.8000000000000000444089209850062616169452667236328125,100,0.200000000000000011102230246251565404236316680908203125,0.000000000003916142399215728922624282482930898155653250019769 0.8000000000000000444089209850062616169452667236328125,100,0.299999999999999988897769753748434595763683319091796875,0.0000000000081369437079598129634206168236972462350337621362136 0.8000000000000000444089209850062616169452667236328125,100,0.5,0.000000000025185538210049394762515602459717447726187856440593 0.8000000000000000444089209850062616169452667236328125,100,1,0.00000000020370359763344973940896602701001591477456372744697 @@ -17234,7 +17234,7 @@ arg0,arg1,arg2,expectedresult 0.8000000000000000444089209850062616169452667236328125,100,1.5,0.0000000010518437624553395518072385094484174637650482409427 0.8000000000000000444089209850062616169452667236328125,100,1.899999999999999911182158029987476766109466552734375,0.0000000032787353233071406767595483496444520621548295382116 0.8000000000000000444089209850062616169452667236328125,100,2,0.0000000042777755503024436229625894006725357822292085376023 -0.8000000000000000444089209850062616169452667236328125,100,2.100000000000000088817841970012523233890533447265625,0.0000000055459491604931544506596334323901918420788480725190 +0.8000000000000000444089209850062616169452667236328125,100,2.100000000000000088817841970012523233890533447265625,0.000000005545949160493154450659633432390191842078848072519 0.8000000000000000444089209850062616169452667236328125,100,2.5,0.000000014809063967342224601490000202329662008890523888099 0.8000000000000000444089209850062616169452667236328125,100,2.899999999999999911182158029987476766109466552734375,0.000000036608230869172177174694698766784554321296000548377 0.8000000000000000444089209850062616169452667236328125,100,3,0.000000045425902272259272710134644092634251079632037744939 @@ -17245,19 +17245,19 @@ arg0,arg1,arg2,expectedresult 0.8000000000000000444089209850062616169452667236328125,100,19.89999999999999857891452847979962825775146484375,0.15740950134249648664227336227899513910744013648159 0.8000000000000000444089209850062616169452667236328125,100,20,0.16220200172056022599009919620865667890546527702698 0.8000000000000000444089209850062616169452667236328125,100,20.10000000000000142108547152020037174224853515625,0.16707879282340233713382287994807559218062727212326 -0.8000000000000000444089209850062616169452667236328125,100,49.5,0.99990439935744697368785353815662755036434624772000 +0.8000000000000000444089209850062616169452667236328125,100,49.5,0.99990439935744697368785353815662755036434624772 0.8000000000000000444089209850062616169452667236328125,100,49.89999999999999857891452847979962825775146484375,0.99992288124711751040471882060159129885542384573969 0.8000000000000000444089209850062616169452667236328125,100,50,0.99992693638633396898011824425954238543242931906292 -0.8000000000000000444089209850062616169452667236328125,100,50.10000000000000142108547152020037174224853515625,0.99993078677502502290787707469465627310351738239810 +0.8000000000000000444089209850062616169452667236328125,100,50.10000000000000142108547152020037174224853515625,0.9999307867750250229078770746946562731035173823981 0.8000000000000000444089209850062616169452667236328125,100,50.5,0.99994433129239938758657358931935891526703163016812 0.8000000000000000444089209850062616169452667236328125,100,99.5,0.99999999999999999999693117077427145644938210323196 0.8000000000000000444089209850062616169452667236328125,100,99.900000000000005684341886080801486968994140625,0.99999999999999999999788065480419331140555210649978 0.8000000000000000444089209850062616169452667236328125,100,100,0.99999999999999999999806822761931752433248114546314 0.8000000000000000444089209850062616169452667236328125,100,100.099999999999994315658113919198513031005859375,0.99999999999999999999823928497287356952321173464267 0.8000000000000000444089209850062616169452667236328125,100,100.5,0.99999999999999999999878546280823307395578298559346 -0.8000000000000000444089209850062616169452667236328125,100,120,0.99999999999999999999999999999293312373328330670434 +0.8000000000000000444089209850062616169452667236328125,100,120,0.99999999999999999999999999999293312373328330670433 0.8000000000000000444089209850062616169452667236328125,100,150,0.99999999999999999999999999999999999999999989465145 -0.8000000000000000444089209850062616169452667236328125,100,500,1.0000000000000000000000000000000000000000000000000 +0.8000000000000000444089209850062616169452667236328125,100,500,1.0 0.8000000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,0.1000000000000000055511151231257827021181583404541015625,0.0000000000013638994743885804363899287640809728912545397943975 0.8000000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,0.200000000000000011102230246251565404236316680908203125,0.0000000000038267746207274617949704591143282861890929834045104 0.8000000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,0.299999999999999988897769753748434595763683319091796875,0.0000000000079520249150761065344413782026777383001250780040589 @@ -17269,7 +17269,7 @@ arg0,arg1,arg2,expectedresult 0.8000000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,2,0.0000000041873610555764400275558537464054431225198074136767 0.8000000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,2.100000000000000088817841970012523233890533447265625,0.0000000054292438287576124533171720979793599104811624332469 0.8000000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,2.5,0.000000014502895578593597750777625830701671906596220804202 -0.8000000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,2.899999999999999911182158029987476766109466552734375,0.000000035864818674173995624124535894417042257243843781017 +0.8000000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,2.899999999999999911182158029987476766109466552734375,0.000000035864818674173995624124535894417042257243843781018 0.8000000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,3,0.000000044507584168944350715507007784364612205475055851683 0.8000000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,14,0.012164316926653626610410234247527395835248525041866 0.8000000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,14.0999999999999996447286321199499070644378662109375,0.012895783177604860704102564987561849423580617050079 @@ -17281,7 +17281,7 @@ arg0,arg1,arg2,expectedresult 0.8000000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,49.5,0.99990257141976130566591384864401462489009869380137 0.8000000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,49.89999999999999857891452847979962825775146484375,0.99992138655580790154538043119804866901484543967557 0.8000000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,50,0.99992551552490818762131287381382048684071776840412 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arg0,arg1,arg2,expectedresult 0.8000000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,100.5,0.99999999999999999999872600114753551756830636481473 0.8000000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,120,0.99999999999999999999999999999251835038015214789241 0.8000000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,150,0.99999999999999999999999999999999999999999988703744 -0.8000000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,500,1.0000000000000000000000000000000000000000000000000 +0.8000000000000000444089209850062616169452667236328125,100.099999999999994315658113919198513031005859375,500,1.0 0.8000000000000000444089209850062616169452667236328125,100.5,0.1000000000000000055511151231257827021181583404541015625,0.0000000000012431266393352615343872463993430391495514878847445 0.8000000000000000444089209850062616169452667236328125,100.5,0.200000000000000011102230246251565404236316680908203125,0.0000000000034892633245154516736145143619218302078493088985449 0.8000000000000000444089209850062616169452667236328125,100.5,0.299999999999999988897769753748434595763683319091796875,0.0000000000072534768503233809932785242787406089213916427658097 @@ -17314,17 +17314,17 @@ arg0,arg1,arg2,expectedresult 0.8000000000000000444089209850062616169452667236328125,100.5,49.5,0.99989493765258107474303866073718441256345522396541 0.8000000000000000444089209850062616169452667236328125,100.5,49.89999999999999857891452847979962825775146484375,0.99991514024883558763435263554877111530905328571222 0.8000000000000000444089209850062616169452667236328125,100.5,50,0.99991957674824020441548201208772397074151735488694 -0.8000000000000000444089209850062616169452667236328125,100.5,50.10000000000000142108547152020037174224853515625,0.99992379065420168323951298877979787331429683642120 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0.8000000000000000444089209850062616169452667236328125,100.5,100.5,0.99999999999999999999845835750359442800046659903443 0.8000000000000000444089209850062616169452667236328125,100.5,120,0.99999999999999999999999999999060624487787246001753 0.8000000000000000444089209850062616169452667236328125,100.5,150,0.99999999999999999999999999999999999999999985075596 -0.8000000000000000444089209850062616169452667236328125,100.5,500,1.0000000000000000000000000000000000000000000000000 -0.8000000000000000444089209850062616169452667236328125,120,0.1000000000000000055511151231257827021181583404541015625,0.000000000000013732404097066073432600130473101677864707495759730 +0.8000000000000000444089209850062616169452667236328125,100.5,500,1.0 +0.8000000000000000444089209850062616169452667236328125,120,0.1000000000000000055511151231257827021181583404541015625,0.00000000000001373240409706607343260013047310167786470749575973 0.8000000000000000444089209850062616169452667236328125,120,0.200000000000000011102230246251565404236316680908203125,0.000000000000039214458525641462953723261534331040414279752844218 0.8000000000000000444089209850062616169452667236328125,120,0.299999999999999988897769753748434595763683319091796875,0.000000000000082933773856220219311832524766422536621839767933513 0.8000000000000000444089209850062616169452667236328125,120,0.5,0.00000000000026592528434181199753708657760465554726984676522323 @@ -17347,24 +17347,24 @@ arg0,arg1,arg2,expectedresult 0.8000000000000000444089209850062616169452667236328125,120,49.5,0.99764322322446057525063403770406944120123575866018 0.8000000000000000444089209850062616169452667236328125,120,49.89999999999999857891452847979962825775146484375,0.99800619375568870942243223768423266912137415500759 0.8000000000000000444089209850062616169452667236328125,120,50,0.99808844533017509305665503257893187338932716619115 -0.8000000000000000444089209850062616169452667236328125,120,50.10000000000000142108547152020037174224853515625,0.99816753465196532702055645217457334176521711622910 -0.8000000000000000444089209850062616169452667236328125,120,50.5,0.99845443634986519051634548337511347136488421574730 +0.8000000000000000444089209850062616169452667236328125,120,50.10000000000000142108547152020037174224853515625,0.9981675346519653270205564521745733417652171162291 +0.8000000000000000444089209850062616169452667236328125,120,50.5,0.9984544363498651905163454833751134713648842157473 0.8000000000000000444089209850062616169452667236328125,120,99.5,0.99999999999999998410054873458410454874057280784934 -0.8000000000000000444089209850062616169452667236328125,120,99.900000000000005684341886080801486968994140625,0.99999999999999998859547857084393985759946783048410 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-0.8000000000000000444089209850062616169452667236328125,120,500,1.0000000000000000000000000000000000000000000000000 -0.8000000000000000444089209850062616169452667236328125,150,0.1000000000000000055511151231257827021181583404541015625,1.3984014275128396885237124995034437521292739706760e-17 +0.8000000000000000444089209850062616169452667236328125,120,500,1.0 +0.8000000000000000444089209850062616169452667236328125,150,0.1000000000000000055511151231257827021181583404541015625,1.398401427512839688523712499503443752129273970676e-17 0.8000000000000000444089209850062616169452667236328125,150,0.200000000000000011102230246251565404236316680908203125,4.0812172282830844975137016035839401304537450832648e-17 -0.8000000000000000444089209850062616169452667236328125,150,0.299999999999999988897769753748434595763683319091796875,8.8211360716153493817084206743979769820646011175265e-17 +0.8000000000000000444089209850062616169452667236328125,150,0.299999999999999988897769753748434595763683319091796875,8.8211360716153493817084206743979769820646011175266e-17 0.8000000000000000444089209850062616169452667236328125,150,0.5,2.9541064368287567922400420913968063951411642954181e-16 0.8000000000000000444089209850062616169452667236328125,150,1,0.0000000000000029073548971824517707899022964201627516321510933718 0.8000000000000000444089209850062616169452667236328125,150,1.100000000000000088817841970012523233890533447265625,0.0000000000000043067686033692921969757425171657486149793413534454 0.8000000000000000444089209850062616169452667236328125,150,1.5,0.000000000000018249022179358327571696505860627040034696149381241 -0.8000000000000000444089209850062616169452667236328125,150,1.899999999999999911182158029987476766109466552734375,0.000000000000066452648920825432951431535638822715848634381713890 +0.8000000000000000444089209850062616169452667236328125,150,1.899999999999999911182158029987476766109466552734375,0.00000000000006645264892082543295143153563882271584863438171389 0.8000000000000000444089209850062616169452667236328125,150,2,0.000000000000090128001812655985527612885537049361259766091301867 0.8000000000000000444089209850062616169452667236328125,150,2.100000000000000088817841970012523233890533447265625,0.00000000000012146076257119361751589122420972377402897098771655 0.8000000000000000444089209850062616169452667236328125,150,2.5,0.00000000000037851816032857898221815959197523032826622572336536 @@ -17372,13 +17372,13 @@ arg0,arg1,arg2,expectedresult 0.8000000000000000444089209850062616169452667236328125,150,3,0.0000000000014071597702363060528158412391257823643956118597413 0.8000000000000000444089209850062616169452667236328125,150,14,0.000020058703434794821275812502288884593172935367169395 0.8000000000000000444089209850062616169452667236328125,150,14.0999999999999996447286321199499070644378662109375,0.000021988251906658177498473294904570977762144047216672 -0.8000000000000000444089209850062616169452667236328125,150,14.199999999999999289457264239899814128875732421875,0.000024087476063023745584988370127218539037875572696530 +0.8000000000000000444089209850062616169452667236328125,150,14.199999999999999289457264239899814128875732421875,0.00002408747606302374558498837012721853903787557269653 0.8000000000000000444089209850062616169452667236328125,150,14.9000000000000003552713678800500929355621337890625,0.000044786289366676508160710645324663276518010973959835 0.8000000000000000444089209850062616169452667236328125,150,19.89999999999999857891452847979962825775146484375,0.0016907848226025652427222568695529770296158609875052 0.8000000000000000444089209850062616169452667236328125,150,20,0.0017955807688950680453519673819169219694538984910797 0.8000000000000000444089209850062616169452667236328125,150,20.10000000000000142108547152020037174224853515625,0.0019060413589981786249270331202267709021497966286827 0.8000000000000000444089209850062616169452667236328125,150,49.5,0.94774784916349337103514316918324499770559178767921 -0.8000000000000000444089209850062616169452667236328125,150,49.89999999999999857891452847979962825775146484375,0.95309716789027733725066094404875799786682351002850 +0.8000000000000000444089209850062616169452667236328125,150,49.89999999999999857891452847979962825775146484375,0.9530971678902773372506609440487579978668235100285 0.8000000000000000444089209850062616169452667236328125,150,50,0.95436080699720438741030545905178355817248484586059 0.8000000000000000444089209850062616169452667236328125,150,50.10000000000000142108547152020037174224853515625,0.95559590315217944735382690860651957589491208737231 0.8000000000000000444089209850062616169452667236328125,150,50.5,0.96026011141731466895529242860092705934425909284476 @@ -17389,14 +17389,14 @@ arg0,arg1,arg2,expectedresult 0.8000000000000000444089209850062616169452667236328125,150,100.5,0.99999999999981456625463822260962052732609850989075 0.8000000000000000444089209850062616169452667236328125,150,120,0.99999999999999999993260650849258089602212504002393 0.8000000000000000444089209850062616169452667236328125,150,150,0.99999999999999999999999999999967766154384510342941 -0.8000000000000000444089209850062616169452667236328125,150,500,1.0000000000000000000000000000000000000000000000000 +0.8000000000000000444089209850062616169452667236328125,150,500,1.0 0.8000000000000000444089209850062616169452667236328125,500,0.1000000000000000055511151231257827021181583404541015625,5.8013397493568912067892315295131930874850987558884e-52 0.8000000000000000444089209850062616169452667236328125,500,0.200000000000000011102230246251565404236316680908203125,1.9067239736902280954370574551010634544413396274111e-51 0.8000000000000000444089209850062616169452667236328125,500,0.299999999999999988897769753748434595763683319091796875,4.6408937856053138833136912495910111269473990198051e-51 0.8000000000000000444089209850062616169452667236328125,500,0.5,1.9705760832196738354085650481609270026616723637711e-50 0.8000000000000000444089209850062616169452667236328125,500,1,3.5074662110435012265063986760135916142572662424175e-49 0.8000000000000000444089209850062616169452667236328125,500,1.100000000000000088817841970012523233890533447265625,5.8485031901397871277294641943125493345894844456622e-49 -0.8000000000000000444089209850062616169452667236328125,500,1.5,3.9764682485489600215629305839025006966504592683630e-48 +0.8000000000000000444089209850062616169452667236328125,500,1.5,3.976468248548960021562930583902500696650459268363e-48 0.8000000000000000444089209850062616169452667236328125,500,1.899999999999999911182158029987476766109466552734375,2.3215239897367807909355487654155902676787154863591e-47 0.8000000000000000444089209850062616169452667236328125,500,2,3.5425408731539354599575135437230136527235046171517e-47 0.8000000000000000444089209850062616169452667236328125,500,2.100000000000000088817841970012523233890533447265625,5.3710944780473129139034185281453093511204183535258e-47 @@ -17421,8 +17421,8 @@ arg0,arg1,arg2,expectedresult 0.8000000000000000444089209850062616169452667236328125,500,100.099999999999994315658113919198513031005859375,0.017779915033783734728586344537577013070567727735517 0.8000000000000000444089209850062616169452667236328125,500,100.5,0.019368417101674288461009288292023552665644773947552 0.8000000000000000444089209850062616169452667236328125,500,120,0.33584744053714282346932204555581388914373424782552 -0.8000000000000000444089209850062616169452667236328125,500,150,0.97183237974492664881246359146194569034265372387596 -0.8000000000000000444089209850062616169452667236328125,500,500,1.0000000000000000000000000000000000000000000000000 +0.8000000000000000444089209850062616169452667236328125,500,150,0.97183237974492664881246359146194569034265372387597 +0.8000000000000000444089209850062616169452667236328125,500,500,1.0 0.84999999999999997779553950749686919152736663818359375,0.1000000000000000055511151231257827021181583404541015625,0.1000000000000000055511151231257827021181583404541015625,0.57483835962405276231121149095938921436431981223792 0.84999999999999997779553950749686919152736663818359375,0.1000000000000000055511151231257827021181583404541015625,0.200000000000000011102230246251565404236316680908203125,0.75992725660763092157493709711658857710281972442257 0.84999999999999997779553950749686919152736663818359375,0.1000000000000000055511151231257827021181583404541015625,0.299999999999999988897769753748434595763683319091796875,0.84795983633971017642168359927839779829412686673607 @@ -17434,11 +17434,11 @@ arg0,arg1,arg2,expectedresult 0.84999999999999997779553950749686919152736663818359375,0.1000000000000000055511151231257827021181583404541015625,2,0.99863764838863418291567183700155648435271408248406 0.84999999999999997779553950749686919152736663818359375,0.1000000000000000055511151231257827021181583404541015625,2.100000000000000088817841970012523233890533447265625,0.99891850200493479866838011630555768364270682125401 0.84999999999999997779553950749686919152736663818359375,0.1000000000000000055511151231257827021181583404541015625,2.5,0.99956318856975716698666499807427814812140721573186 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0.84999999999999997779553950749686919152736663818359375,50.5,19.89999999999999857891452847979962825775146484375,0.99739095444541253960063466675360041326002398400309 -0.84999999999999997779553950749686919152736663818359375,50.5,20,0.99756655955023759632979009867695894569394263302650 +0.84999999999999997779553950749686919152736663818359375,50.5,20,0.9975665595502375963297900986769589456939426330265 0.84999999999999997779553950749686919152736663818359375,50.5,20.10000000000000142108547152020037174224853515625,0.99773105384834495166271033654766707021213941795543 0.84999999999999997779553950749686919152736663818359375,50.5,49.5,0.99999999999999967677398414399603115780496266594683 0.84999999999999997779553950749686919152736663818359375,50.5,49.89999999999999857891452847979962825775146484375,0.99999999999999980118900240997648228075030435431917 @@ -18245,11 +18245,11 @@ arg0,arg1,arg2,expectedresult 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0.84999999999999997779553950749686919152736663818359375,99.5,0.1000000000000000055511151231257827021181583404541015625,0.00000000083490102799608511526240343422404309038851829505044 -0.84999999999999997779553950749686919152736663818359375,99.5,0.200000000000000011102230246251565404236316680908203125,0.0000000022780112516256495832408097902589560442300016133333 +0.84999999999999997779553950749686919152736663818359375,99.5,0.200000000000000011102230246251565404236316680908203125,0.0000000022780112516256495832408097902589560442300016133332 0.84999999999999997779553950749686919152736663818359375,99.5,0.299999999999999988897769753748434595763683319091796875,0.0000000046033733852031625651368314751431652363282743756683 0.84999999999999997779553950749686919152736663818359375,99.5,0.5,0.000000013477725656297369568205193017672083777172862487797 0.84999999999999997779553950749686919152736663818359375,99.5,1,0.000000094881842271382112064951986734638652330415649252014 @@ -18258,7 +18258,7 @@ 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0.84999999999999997779553950749686919152736663818359375,99.5,3,0.000012184933738520862849499060228724901324431115056304 0.84999999999999997779553950749686919152736663818359375,99.5,14,0.18799763039199446050088430740955992618925689988081 @@ -18271,16 +18271,16 @@ arg0,arg1,arg2,expectedresult 0.84999999999999997779553950749686919152736663818359375,99.5,49.5,0.99999998231138683300893314992736824848182530794411 0.84999999999999997779553950749686919152736663818359375,99.5,49.89999999999999857891452847979962825775146484375,0.99999998726280651391259225237052270059563242962955 0.84999999999999997779553950749686919152736663818359375,99.5,50,0.99999998827046400514505211031737884945297606018782 -0.84999999999999997779553950749686919152736663818359375,99.5,50.10000000000000142108547152020037174224853515625,0.99999998919976930523152751287849308594722466107104 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0.84999999999999997779553950749686919152736663818359375,100.099999999999994315658113919198513031005859375,2,0.0000013783560188062001974316095367563796819268916610685 0.84999999999999997779553950749686919152736663818359375,100.099999999999994315658113919198513031005859375,2.100000000000000088817841970012523233890533447265625,0.0000017393247556720564744223723034425558729599881335162 0.84999999999999997779553950749686919152736663818359375,100.099999999999994315658113919198513031005859375,2.5,0.0000041690468806637490011403646585152101718853993197291 @@ -18371,15 +18371,15 @@ arg0,arg1,arg2,expectedresult 0.84999999999999997779553950749686919152736663818359375,100.099999999999994315658113919198513031005859375,49.89999999999999857891452847979962825775146484375,0.99999998520416208648025764193952976800430210791664 0.84999999999999997779553950749686919152736663818359375,100.099999999999994315658113919198513031005859375,50,0.99999998636931894858780168187628373977663514332583 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0.90000000000000002220446049250313080847263336181640625,2.100000000000000088817841970012523233890533447265625,1.100000000000000088817841970012523233890533447265625,0.83427872579019171732879479731211593940025409776052 0.90000000000000002220446049250313080847263336181640625,2.100000000000000088817841970012523233890533447265625,1.5,0.92106221859144515038486155223906176574203940153813 0.90000000000000002220446049250313080847263336181640625,2.100000000000000088817841970012523233890533447265625,1.899999999999999911182158029987476766109466552734375,0.96333605840711981476070671549617662666443697932542 @@ -18826,7 +18826,7 @@ arg0,arg1,arg2,expectedresult 0.90000000000000002220446049250313080847263336181640625,2.100000000000000088817841970012523233890533447265625,14.0999999999999996447286321199499070644378662109375,0.99999999999986452080889124558469039562323966356881 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0.90000000000000002220446049250313080847263336181640625,2.100000000000000088817841970012523233890533447265625,20,0.99999999999999999975564408514017399957772249418883 0.90000000000000002220446049250313080847263336181640625,2.100000000000000088817841970012523233890533447265625,20.10000000000000142108547152020037174224853515625,0.99999999999999999980489197990294955611169970040984 0.90000000000000002220446049250313080847263336181640625,2.100000000000000088817841970012523233890533447265625,49.5,0.99999999999999999999999999999999999999999999999798 @@ -18834,14 +18834,14 @@ arg0,arg1,arg2,expectedresult 0.90000000000000002220446049250313080847263336181640625,2.100000000000000088817841970012523233890533447265625,50,0.99999999999999999999999999999999999999999999999935 0.90000000000000002220446049250313080847263336181640625,2.100000000000000088817841970012523233890533447265625,50.10000000000000142108547152020037174224853515625,0.99999999999999999999999999999999999999999999999949 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0.9499999999999999555910790149937383830547332763671875,500,0.200000000000000011102230246251565404236316680908203125,0.00000000000011720533305986795720362582577780677679495836863593 0.9499999999999999555910790149937383830547332763671875,500,0.299999999999999988897769753748434595763683319091796875,0.00000000000024903618778979816868732947188552382608221577762105 0.9499999999999999555910790149937383830547332763671875,500,0.5,0.00000000000080588184556570167384425541200309021376292181972953 0.9499999999999999555910790149937383830547332763671875,500,1,0.0000000000072744915614390537730730248519231569116402115320941 0.9499999999999999555910790149937383830547332763671875,500,1.100000000000000088817841970012523233890533447265625,0.000000000010589985531079247824565399641174759910416518580777 -0.9499999999999999555910790149937383830547332763671875,500,1.5,0.000000000041837546294516857362559582423875192852752400688210 +0.9499999999999999555910790149937383830547332763671875,500,1.5,0.00000000004183754629451685736255958242387519285275240068821 0.9499999999999999555910790149937383830547332763671875,500,1.899999999999999911182158029987476766109466552734375,0.00000000014195312722004552720596421450243149935526075839145 0.9499999999999999555910790149937383830547332763671875,500,2,0.00000000018913678059741555962605912517088307030033942508603 0.9499999999999999555910790149937383830547332763671875,500,2.100000000000000088817841970012523233890533447265625,0.00000000025039101772325533452577588817757350150907672039901 @@ -20672,21 +20672,21 @@ arg0,arg1,arg2,expectedresult 0.9499999999999999555910790149937383830547332763671875,500,3,0.0000000024669619507730233185498700314041872799555934206322 0.9499999999999999555910790149937383830547332763671875,500,14,0.0038813950650736931518052366408118259747812611289309 0.9499999999999999555910790149937383830547332763671875,500,14.0999999999999996447286321199499070644378662109375,0.0041638922580879731924520301473439659698277237322433 -0.9499999999999999555910790149937383830547332763671875,500,14.199999999999999289457264239899814128875732421875,0.0044639051390747995836056260653223205219035645373360 +0.9499999999999999555910790149937383830547332763671875,500,14.199999999999999289457264239899814128875732421875,0.004463905139074799583605626065322320521903564537336 0.9499999999999999555910790149937383830547332763671875,500,14.9000000000000003552713678800500929355621337890625,0.0071307164267157799969744635634991135798308961201732 -0.9499999999999999555910790149937383830547332763671875,500,19.89999999999999857891452847979962825775146484375,0.089256443165106370147545439535001948955594567377820 +0.9499999999999999555910790149937383830547332763671875,500,19.89999999999999857891452847979962825775146484375,0.08925644316510637014754543953500194895559456737782 0.9499999999999999555910790149937383830547332763671875,500,20,0.092703158649378720709799294678436582268179682710225 0.9499999999999999555910790149937383830547332763671875,500,20.10000000000000142108547152020037174224853515625,0.096241113418893349183269164723226244909614716260074 0.9499999999999999555910790149937383830547332763671875,500,49.5,0.99994125542876611088205457423533401151373362152606 0.9499999999999999555910790149937383830547332763671875,500,49.89999999999999857891452847979962825775146484375,0.99995420424512534973322917056307380293017673517205 -0.9499999999999999555910790149937383830547332763671875,500,50,0.99995698650447908231719083497546131841428084950345 +0.9499999999999999555910790149937383830547332763671875,500,50,0.99995698650447908231719083497546131841428084950346 0.9499999999999999555910790149937383830547332763671875,500,50.10000000000000142108547152020037174224853515625,0.99995960658442193889629519912147432562818183711534 0.9499999999999999555910790149937383830547332763671875,500,50.5,0.99996863828129014204384793663445030659745667446712 -0.9499999999999999555910790149937383830547332763671875,500,99.5,0.99999999999999999999999986166190742587178983029597 +0.9499999999999999555910790149937383830547332763671875,500,99.5,0.99999999999999999999999986166190742587178983029598 0.9499999999999999555910790149937383830547332763671875,500,99.900000000000005684341886080801486968994140625,0.99999999999999999999999991476639717481851714545848 0.9499999999999999555910790149937383830547332763671875,500,100,0.99999999999999999999999992450140996190956944936242 -0.9499999999999999555910790149937383830547332763671875,500,100.099999999999994315658113919198513031005859375,0.99999999999999999999999993313001762792744600901850 +0.9499999999999999555910790149937383830547332763671875,500,100.099999999999994315658113919198513031005859375,0.9999999999999999999999999331300176279274460090185 0.9499999999999999555910790149937383830547332763671875,500,100.5,0.99999999999999999999999995888074675285656563166116 0.9499999999999999555910790149937383830547332763671875,500,120,0.99999999999999999999999999999999999952488481014003 -0.9499999999999999555910790149937383830547332763671875,500,150,1.0000000000000000000000000000000000000000000000000 -0.9499999999999999555910790149937383830547332763671875,500,500,1.0000000000000000000000000000000000000000000000000 +0.9499999999999999555910790149937383830547332763671875,500,150,1.0 +0.9499999999999999555910790149937383830547332763671875,500,500,1.0 diff --git a/test/Tests/Data/SpecialFunctionsValues/Digamma.csv b/test/Tests/Data/SpecialFunctionsValues/Digamma.csv index 67c9d751d..8f5c77541 100644 --- a/test/Tests/Data/SpecialFunctionsValues/Digamma.csv +++ b/test/Tests/Data/SpecialFunctionsValues/Digamma.csv @@ -1,22 +1,22 @@ arg0,expectedresult -Infinity,NaN --1.100000000000000088817841970012523233890533447265625,10.154163959143848573079484396954898329270718098130 +-1.100000000000000088817841970012523233890533447265625,10.15416395914384857307948439695489832927071809813 -1,NaN -0.5,0.036489973978576520559023667001244432806840395339566 0,-Infinity 0.6999999999999999683236782781203810799297571065835654735565185546875e-6,-1428572.0057859420843492003223898791767560024380492 -0.999999999999999954748111825886258685613938723690807819366455078125e-6,-1000000.5772140200139199563751011947940108414677920 +0.999999999999999954748111825886258685613938723690807819366455078125e-6,-1000000.577214020013919956375101194794010841467792 0.199999999999999990949622365177251737122787744738161563873291015625e-5,-500000.57721237506083332719491398750688169340281617 0.69999999999999998949950195947788955663781962357461452484130859375e-5,-142857.72006129328125115596870727661327336382877317 0.6999999999999999386775251242198692125384695827960968017578125e-4,-14286.291386239693526863067203149208461269116865176 -0.699999999999999992887633748495090912911109626293182373046875e-3,-1429.1474933711202195202432533163808403303765257200 +0.699999999999999992887633748495090912911109626293182373046875e-3,-1429.14749337112021952024325331638084033037652572 0.1000000000000000055511151231257827021181583404541015625,-10.423754940411076232100295314502760886768558023951 0.5,-1.9635100260214234794409763329987555671931596046604 1.125,-0.38849266329585486780274292308634300005144604244948 1.25,-0.22745353337626540808953014609668357736724443870824 1.5,0.036489973978576520559023667001244432806840395339566 1.625,0.14729123542343343278921838797662270916595689631248 -1.75,0.24747245354686116370644657051615264016325829400020 +1.75,0.2474724535468611637064465705161526401632582940002 2.25,0.57254646662373459191046985390331642263275556129176 2.5,0.70315664064524318722569033366791109947350706200623 8.5,2.0800908175794201214026245106020880336504412389404 diff --git a/test/Tests/Data/SpecialFunctionsValues/Erfc.csv b/test/Tests/Data/SpecialFunctionsValues/Erfc.csv index 82fe0ed8f..f61147b80 100644 --- a/test/Tests/Data/SpecialFunctionsValues/Erfc.csv +++ b/test/Tests/Data/SpecialFunctionsValues/Erfc.csv @@ -1,5 +1,5 @@ arg0,expectedresult --Infinity,2.0000000000000000000000000000000000000000000000000 +-Infinity,2.0 -6.3639610306789275995242860517464578151702880859375,1.9999999999999999997742823188092315213035766397269 -5.656854249492379693720067734830081462860107421875,1.9999999999999987558078851456360090617831770904631 -4.94974746830583267609426911803893744945526123046875,1.9999999999974403749122283301278674967983891717445 @@ -9,10 +9,10 @@ arg0,expectedresult -2.121320343559642385145025400561280548572540283203125,1.9973002039367398085893653733229557513919010834823 -1.41421356237309492343001693370752036571502685546875,1.9544997361036415664539876349604460753641842711124 -0.707106781186547461715008466853760182857513427734375,1.6826894921370858542684946046865996683904099531546 -0,1.0000000000000000000000000000000000000000000000000 -0.17677669529663686542875211671344004571437835693359375,0.80258734863415256865758082470472253897050011877540 +0,1.0 +0.17677669529663686542875211671344004571437835693359375,0.8025873486341525686575808247047225389705001187754 0.3535533905932737308575042334268800914287567138671875,0.61707507745197382393559014287016626106599178692818 -0.53033008588991059628625635014032013714313507080078125,0.45325470475373643869839803876687787882763726774600 +0.53033008588991059628625635014032013714313507080078125,0.453254704753736438698398038766877878827637267746 0.707106781186547461715008466853760182857513427734375,0.31731050786291414573150539531340033160959004684538 1.0606601717798211925725127002806402742862701416015625,0.13361440253771616645464309534730222879898169685409 1.3435028842544400884406741170096211135387420654296875,0.057433119632003637390625861090622767859738391006799 @@ -40,13 +40,13 @@ arg0,expectedresult 8.6267027304758787664695773855783045291900634765625,3.1082395727792426879573569913062534771180376290957e-34 9.192388155425117446384319919161498546600341796875,1.2234328799099843260749247625157878411877215460809e-38 9.4045201897810812852185335941612720489501953125,2.3146832567381217413190384520878257498527559867202e-40 -10.1823376490862838039674898027442395687103271484375,5.1743518508045831112008050329149966048088768990350e-47 +10.1823376490862838039674898027442395687103271484375,5.174351850804583111200805032914996604808876899035e-47 10.6066017177982114816359171527437865734100341796875,7.3419323986257183325190122740965346845782960123973e-51 10.960155108391486322716446011327207088470458984375,3.4689215835877634284977283068743226542655359474867e-54 11.31370849898475938744013546966016292572021484375,1.2777508801076465668298246417713638725584796054764e-57 11.6672618895780342285206643282435834407806396484375,3.6689260063294556976356578342711723744789110829986e-61 11.7379725676966888414654022199101746082305908203125,6.9690930399008266453175954597971677749808683357025e-62 -12.0208152801713072932443537865765392780303955078125,8.2119924041979357172953969665481154423446049282384e-65 +12.0208152801713072932443537865765392780303955078125,8.2119924041979357172953969665481154423446049282385e-65 12.3743686707645803579680432449094951152801513671875,1.4326917532470540906599871414063719069526772682382e-68 12.727922061357855199048572103492915630340576171875,1.9481897837874420435949901302496589444274348534673e-72 14.1421356237309492343001693370752036571502685546875,5.5072482372126631655403237240370249813624376137484e-89 diff --git a/test/Tests/Data/SpecialFunctionsValues/ExpMinus1.csv b/test/Tests/Data/SpecialFunctionsValues/ExpMinus1.csv index 3c0bce4b7..31e40044a 100644 --- a/test/Tests/Data/SpecialFunctionsValues/ExpMinus1.csv +++ b/test/Tests/Data/SpecialFunctionsValues/ExpMinus1.csv @@ -1,21 +1,21 @@ arg0,expectedresult --Infinity,-1.0000000000000000000000000000000000000000000000000 +-Infinity,-1.0 -0.1000000000000000055511151231257827021181583404541015625,-0.095162581964040431858607615783064404690935346242623 -0.5000000000000000277555756156289135105907917022705078125e-1,-0.048770575499285993548766702174422069435595626121714 -0.40000000000000000832667268468867405317723751068115234375e-1,-0.039210560847676791360807226549454167687713725027137 -0.299999999999999988897769753748434595763683319091796875e-1,-0.029554466451491821990060672550607094609670523385361 -0.200000000000000004163336342344337026588618755340576171875e-1,-0.019801326693244698187275571704262969662303440443416 --0.1000000000000000020816681711721685132943093776702880859375e-1,-0.0099501662508319466321895454989574564883393240617196 +-0.1000000000000000020816681711721685132943093776702880859375e-1,-0.0099501662508319466321895454989574564883393240617197 -0.1000000000000000020816681711721685132943093776702880859375e-2,-0.00099950016662500835274051826722626484242129877966656 --0.100000000000000004792173602385929598312941379845142364501953125e-3,-0.000099995000166662504875026353450045807910466749613567 +-0.100000000000000004792173602385929598312941379845142364501953125e-3,-0.000099995000166662504875026353450045807910466749613568 0,0.0 0.100000000000000004792173602385929598312941379845142364501953125e-3,0.00010000500016667083820932089928323199219754546927824 -0.1000000000000000020816681711721685132943093776702880859375e-2,0.0010005001667083416888932627983028887294045541957550 +0.1000000000000000020816681711721685132943093776702880859375e-2,0.001000500166708341688893262798302888729404554195755 0.200000000000000004163336342344337026588618755340576171875e-2,0.0020020013340002667972976722041259689480947588245205 0.3000000000000000062450045135165055398829281330108642578125e-2,0.0030045045033770260755717679259099626767767561221199 0.1000000000000000020816681711721685132943093776702880859375e-1,0.010050167084168057752424385313484369731243899318131 0.5000000000000000277555756156289135105907917022705078125e-1,0.051271096376024042615381077134629854492839092647471 -0.50999999999999996724842077355788205750286579132080078125e-1,0.052322893283203909423117126389119452793358730172960 +0.50999999999999996724842077355788205750286579132080078125e-1,0.05232289328320390942311712638911945279335873017296 0.51999999999999997613020497055913438089191913604736328125e-1,0.053375742513364760308653888231147650813197028812365 0.52999999999999998501198916756038670428097248077392578125e-1,0.054429645119355905875624287755078190138779863443522 0.53999999999999999389377336456163902767002582550048828125e-1,0.055484602155080039940395857474813215428352780292336 diff --git a/test/Tests/Data/SpecialFunctionsValues/ExpMinus1RatioMinus1RatioMinusHalf.csv b/test/Tests/Data/SpecialFunctionsValues/ExpMinus1RatioMinus1RatioMinusHalf.csv index bf9821940..328e3d39b 100644 --- a/test/Tests/Data/SpecialFunctionsValues/ExpMinus1RatioMinus1RatioMinusHalf.csv +++ b/test/Tests/Data/SpecialFunctionsValues/ExpMinus1RatioMinus1RatioMinusHalf.csv @@ -1,5 +1,5 @@ arg0,expectedresult --Infinity,-0.50000000000000000000000000000000000000000000000000 +-Infinity,-0.5 -1,-0.13212055882855767840447622983853913255418886896823 -0.59999999999999997779553950749686919152736663818359375,-0.086634344183259906599060098739458243533253024084823 -0.5,-0.073877361149466305584801860035278186232327458051252 @@ -15,9 +15,9 @@ arg0,expectedresult 0,0.0 0.100000000000000004792173602385929598312941379845142364501953125e-3,0.000016667083341666806356275243717290257276188037924848 0.1000000000000000020816681711721685132943093776702880859375e-2,0.00016670834166805575746424050752537887585901844081419 -0.1000000000000000020816681711721685132943093776702880859375e-1,0.0016708416805754216894374920430652553173718893008790 +0.1000000000000000020816681711721685132943093776702880859375e-1,0.001670841680575421689437492043065255317371889300879 0.200000000000000004163336342344337026588618755340576171875e-1,0.0033500668895254004298882182143941599446616099316765 -0.5000000000000000277555756156289135105907917022705078125e-1,0.0084385504096158794813877015160132479239700975322972 +0.5000000000000000277555756156289135105907917022705078125e-1,0.0084385504096158794813877015160132479239700975322971 0.1000000000000000055511151231257827021181583404541015625,0.017091807564762482143646972955693542352858798253751 0.200000000000000011102230246251565404236316680908203125,0.035068954004245850073822572464548147843393218291791 0.299999999999999988897769753748434595763683319091796875,0.053986750844478930998048385434685850515014466457835 diff --git a/test/Tests/Data/SpecialFunctionsValues/Gamma.csv b/test/Tests/Data/SpecialFunctionsValues/Gamma.csv index 6c7e2bdda..209d8ee38 100644 --- a/test/Tests/Data/SpecialFunctionsValues/Gamma.csv +++ b/test/Tests/Data/SpecialFunctionsValues/Gamma.csv @@ -6,19 +6,19 @@ arg0,expectedresult 0.100000000000000007154242405462192450852805618492324772617063644020163337700068950653076171875e-17,999999999999999927.88036028047654775017292733166773 0.100000000000000007154242405462192450852805618492324772617063644020163337700068950653076171875e-16,99999999999999992.268541929636275210263086205839539 0.9999999999999999790977867240346035618411149408467364363417573258630000054836273193359375e-16,9999999999999999.6318064678581212070497014916458154 -0.100000000000000007770539987666107923830718560119501514549256171449087560176849365234375e-14,999999999999999.34507893522180705524930522227992653 +0.100000000000000007770539987666107923830718560119501514549256171449087560176849365234375e-14,999999999999999.34507893522180705524930522227992652 0.9999999999999999988193093545598986971343290729163921781719182035885751247406005859375e-14,99999999999999.422902404163021040083867159685123275 0.10000000000000000303737455634003709136034716842278413651001756079494953155517578125e-12,9999999999999.4224805976429320412931103075800100397 -0.99999999999999997988664762925561536725284350612952266601496376097202301025390625e-12,999999999999.42280444845182693977385226907410725220 -0.999999999999999939496969281939810930172340963650867706746794283390045166015625e-11,99999999999.422790385411429505365949931404046254330 +0.99999999999999997988664762925561536725284350612952266601496376097202301025390625e-12,999999999999.4228044484518269397738522690741072522 +0.999999999999999939496969281939810930172340963650867706746794283390045166015625e-11,99999999999.42279038541142950536594993140404625433 0.95367431640625e-6,1048575.4227852783349420247407556545942581471583195 0.30517578125e-4,32767.422814517846946712424323330929297653533863422 0.9765625e-3,1023.4237493455678303694987182399302708889681657512 0.1000000000000000055511151231257827021181583404541015625,9.5135076986687312858079798958252325009137161063903 0.5,1.7724538509055160272981674833411451827975494561224 0.6999999999999999555910790149937383830547332763671875,1.2980553326475578560097177137333818579318453671919 -1,1.0000000000000000000000000000000000000000000000000 -2,1.0000000000000000000000000000000000000000000000000 +1,1.0 +2,1.0 3.399999999999999911182158029987476766109466552734375,2.9812064268103326885865749724510551150575549947344 8.5,14034.407293483412598570577902029628180313291743346 Infinity,Infinity diff --git a/test/Tests/Data/SpecialFunctionsValues/GammaLn.csv b/test/Tests/Data/SpecialFunctionsValues/GammaLn.csv index 5d2e203a1..730ee575c 100644 --- a/test/Tests/Data/SpecialFunctionsValues/GammaLn.csv +++ b/test/Tests/Data/SpecialFunctionsValues/GammaLn.csv @@ -10,7 +10,7 @@ arg0,expectedresult 0.59999999999999997779553950749686919152736663818359375,0.39823385806923493382547268928345564365005549887897 0.6999999999999999555910790149937383830547332763671875,0.26086724653166656856566201303488455695546542725831 0.99609375,0.0022673224879091198692248530556609259455029461111273 -0.999755859375,0.00014097082187592237051371524368529004109710102132560 +0.999755859375,0.0001409708218759223705137152436852900410971010213256 0.9999847412109375,0.0000088078035712554869804636737104615719706676701895738 0.99999904632568359375,0.00000055047650267370524379758683526360200115752756966069 1,0.0 @@ -19,15 +19,15 @@ arg0,expectedresult 1.000244140625,-0.00014087277616326635097030584178411951846640279051938 1.0009765625,-0.00056290317999120463170214992168514502772879541390258 1.001953125,-0.0011242398641763655930882350026740454995347120448051 -1.00390625,-0.0022422226599611501447654819092305299298079260417770 +1.00390625,-0.002242222659961150144765481909230529929807926041777 1.0078125,-0.0044594880379522990866700789223521091987576375799193 1.0625,-0.032957100293577819083198835750474183157056130167484 -1.25,-0.098271836421813161463853802696635840225622703607650 -1.5,-0.12078223763524522234551844578164721225185272790260 +1.25,-0.09827183642181316146385380269663584022562270360765 +1.5,-0.1207822376352452223455184457816472122518527279026 1.9375,-0.025147619402988871014696369343039083625545098476478 1.9921875,-0.0032832885992213340080874430359011232107452519285441 1.99609375,-0.0016465768332272092230929305879117388972032040939028 -1.998046875,-0.00082452003826508882618063669037370149307251988162150 +1.998046875,-0.00082452003826508882618063669037370149307251988162149 1.9990234375,-0.00041256773597148940171061762396967043263766321508279 1.999755859375,-0.00010319961029799208618175017469614360196936704565252 1.9999847412109375,-0.0000064511019077505913999768740192962600117284299376931 @@ -35,16 +35,16 @@ arg0,expectedresult 2,0.0 2.00000095367431640625,0.00000040319885504430155481617207261422503378869150579561 2.0000152587890625,0.0000064512520681644922116961675029871399835844045626819 -2.000244140625,0.00010323805136409635819017324403933418099476148841020 +2.000244140625,0.0001032380513640963581901732440393341809947614884102 2.0009765625,0.00041318279306425426425867498633204164488303891988196 2.001953125,0.00082698026708538384658581452916749300081501348027476 2.00390625,0.0016564177556961728691718611866123770809158280631258 -2.0625,0.027667521522857023497407296289946080129146344977240 +2.0625,0.02766752152285702349740729628994608012914634497724 2.125,0.057759851530343871607388266263091590790261261618417 2.25,0.12487171489239659430244128761319866314897838194036 2.5,0.28468287047291915963249466968270192432013769555989 3.399999999999999911182158029987476766109466552734375,1.0923280598027414724980452407773611147334834522249 -4,1.7917594692280550008124773583807022727229906921830 +4,1.791759469228055000812477358380702272722990692183 8,8.5251613610654143001655310363471250507596677369369 64,201.00931639928152667928203915655029641250818886646 256,1161.7121011184006507880396324010110942387394858845 diff --git a/test/Tests/Data/SpecialFunctionsValues/GammaLower.csv b/test/Tests/Data/SpecialFunctionsValues/GammaLower.csv index 999d0e125..2a1c31f5e 100644 --- a/test/Tests/Data/SpecialFunctionsValues/GammaLower.csv +++ b/test/Tests/Data/SpecialFunctionsValues/GammaLower.csv @@ -1,6 +1,6 @@ arg0,arg1,expectedresult 0.4940656458412465441765687928682213723650598026143247644255856825006755072702087518652998363616359923797965646954457177309266567103559397963987747960107818781263007131903114045278458171678489821036887186360569987307230500063874091535649843873124733972731696151400317153853980741262385655911710266585566867681870395603106249319452715914924553293054565444011274801297099995419319894090804165633245247571478690147267801593552386115501348035264934720193790268107107491703332226844753335720832431936092382893458368060106011506169809753078342277318329247904982524730776375927247874656084778203734469699533647017972677717585125660551199131504891101451037862738167250955837389733598993664809941164205702637090279242767544565229087538682506419718265533447265625e-323,0,0.0 -0.999999999999999954748111825886258685613938723690807819366455078125e-6,0.1000000000000000055511151231257827021181583404541015625,0.99999817707697464990227503498009643202467913614250 +0.999999999999999954748111825886258685613938723690807819366455078125e-6,0.1000000000000000055511151231257827021181583404541015625,0.9999981770769746499022750349800964320246791361425 0.5000000000000000277555756156289135105907917022705078125e-1,0.3000000000000000195710167449548217926385317185720143253266762796006199384768104285319995738158612263025808164496055496783810667693614959716796875e-39,0.010852210369502609547999429175084386496686785048282 0.5000000000000000277555756156289135105907917022705078125e-1,0.30000000000000002868496450783871180151833414017045176236907211286819574524997733533382415771484375e-19,0.10852210369502610951588636759183389863179921763995 0.5000000000000000277555756156289135105907917022705078125e-1,0.299999999999999988897769753748434595763683319091796875,0.95438112187434575810260543505331539901483561439236 @@ -9,7 +9,7 @@ arg0,arg1,expectedresult 0.9499999999999999555910790149937383830547332763671875,0.6999999999999999555910790149937383830547332763671875,0.52785084391954621848851534322514056833078849023589 1,1,0.63212055882855767840447622983853913255418886896823 4.5,0,0.0 -4.5,Infinity,1.0000000000000000000000000000000000000000000000000 +4.5,Infinity,1.0 5,3,0.18473675547622793371326794373023840765591917791457 10,3,0.0011024881301154797421398017209480511688200570838767 20,3,0.000000000083144235881916988571680011583097984932007260777662 diff --git a/test/Tests/Data/SpecialFunctionsValues/GammaUpper.csv b/test/Tests/Data/SpecialFunctionsValues/GammaUpper.csv index d8f2f9b1c..7ce1cf796 100644 --- a/test/Tests/Data/SpecialFunctionsValues/GammaUpper.csv +++ b/test/Tests/Data/SpecialFunctionsValues/GammaUpper.csv @@ -1,12 +1,12 @@ arg0,arg1,expectedresult 0.988131291682493088353137585736442744730119605228649528851171365001351014540417503730599672723271984759593129390891435461853313420711879592797549592021563756252601426380622809055691634335697964207377437272113997461446100012774818307129968774624946794546339230280063430770796148252477131182342053317113373536374079120621249863890543182984910658610913088802254960259419999083863978818160833126649049514295738029453560318710477223100269607052986944038758053621421498340666445368950667144166486387218476578691673612021202301233961950615668455463665849580996504946155275185449574931216955640746893939906729403594535543517025132110239826300978220290207572547633450191167477946719798732961988232841140527418055848553508913045817507736501283943653106689453125e-323,0.4940656458412465441765687928682213723650598026143247644255856825006755072702087518652998363616359923797965646954457177309266567103559397963987747960107818781263007131903114045278458171678489821036887186360569987307230500063874091535649843873124733972731696151400317153853980741262385655911710266585566867681870395603106249319452715914924553293054565444011274801297099995419319894090804165633245247571478690147267801593552386115501348035264934720193790268107107491703332226844753335720832431936092382893458368060106011506169809753078342277318329247904982524730776375927247874656084778203734469699533647017972677717585125660551199131504891101451037862738167250955837389733598993664809941164205702637090279242767544565229087538682506419718265533447265625e-322,741.56027116348568376948279490131486747444388347835 0.999999999999999945153271454209571651729503702787392447107715776066783064379706047475337982177734375e-20,0.299999999999999988897769753748434595763683319091796875,0.90567665167584673984250143965332878170501160293161 -0.999999999999999945153271454209571651729503702787392447107715776066783064379706047475337982177734375e-20,1,0.21938393439552027367814220743228835077064243886860 +0.999999999999999945153271454209571651729503702787392447107715776066783064379706047475337982177734375e-20,1,0.2193839343955202736781422074322883507706424388686 0.999999999999999945153271454209571651729503702787392447107715776066783064379706047475337982177734375e-20,2,0.048900510708061119567721436097197472950457154113626 0.999999999999999954748111825886258685613938723690807819366455078125e-6,0.1000000000000000055511151231257827021181583404541015625,1.8229219731321746369782095133751135177625759722802 0.10000000000000000818030539140313095458623138256371021270751953125e-4,0.1000000000000000055511151231257827021181583404541015625,1.8229041057013652122119750079208751430470735835946 -0.100000000000000004792173602385929598312941379845142364501953125e-3,0.1000000000000000055511151231257827021181583404541015625,1.8227254466517034065606999239354303981891801555950 -0.1000000000000000020816681711721685132943093776702880859375e-2,0.1000000000000000055511151231257827021181583404541015625,1.8209403811279321140189410382580023418640963501190 +0.100000000000000004792173602385929598312941379845142364501953125e-3,0.1000000000000000055511151231257827021181583404541015625,1.822725446651703406560699923935430398189180155595 +0.1000000000000000020816681711721685132943093776702880859375e-2,0.1000000000000000055511151231257827021181583404541015625,1.820940381127932114018941038258002341864096350119 0.1000000000000000020816681711721685132943093776702880859375e-1,0.1000000000000000055511151231257827021181583404541015625,1.8032413569024972295612610746760923349566177350704 0.1000000000000000055511151231257827021181583404541015625,0.1000000000000000055511151231257827021181583404541015625,1.6405876628018871613423128029225016822459012267296 0.5,0.1000000000000000055511151231257827021181583404541015625,1.1604624847937442308796983779582938405046824976858 diff --git a/test/Tests/Data/SpecialFunctionsValues/GammaUpperRegularized.csv b/test/Tests/Data/SpecialFunctionsValues/GammaUpperRegularized.csv index c1e99bd37..bce09281a 100644 --- a/test/Tests/Data/SpecialFunctionsValues/GammaUpperRegularized.csv +++ b/test/Tests/Data/SpecialFunctionsValues/GammaUpperRegularized.csv @@ -1,39 +1,39 @@ arg0,arg1,expectedresult -0.4940656458412465441765687928682213723650598026143247644255856825006755072702087518652998363616359923797965646954457177309266567103559397963987747960107818781263007131903114045278458171678489821036887186360569987307230500063874091535649843873124733972731696151400317153853980741262385655911710266585566867681870395603106249319452715914924553293054565444011274801297099995419319894090804165633245247571478690147267801593552386115501348035264934720193790268107107491703332226844753335720832431936092382893458368060106011506169809753078342277318329247904982524730776375927247874656084778203734469699533647017972677717585125660551199131504891101451037862738167250955837389733598993664809941164205702637090279242767544565229087538682506419718265533447265625e-323,0,1.0000000000000000000000000000000000000000000000000 +0.4940656458412465441765687928682213723650598026143247644255856825006755072702087518652998363616359923797965646954457177309266567103559397963987747960107818781263007131903114045278458171678489821036887186360569987307230500063874091535649843873124733972731696151400317153853980741262385655911710266585566867681870395603106249319452715914924553293054565444011274801297099995419319894090804165633245247571478690147267801593552386115501348035264934720193790268107107491703332226844753335720832431936092382893458368060106011506169809753078342277318329247904982524730776375927247874656084778203734469699533647017972677717585125660551199131504891101451037862738167250955837389733598993664809941164205702637090279242767544565229087538682506419718265533447265625e-323,0,1.0 0.999999999999999945153271454209571651729503702787392447107715776066783064379706047475337982177734375e-20,0.299999999999999988897769753748434595763683319091796875,9.0567665167584669017432768243459948662800401190693e-21 0.999999999999999954748111825886258685613938723690807819366455078125e-6,0.1000000000000000055511151231257827021181583404541015625,0.0000018229230253500977249650199035679753208638575017238 0.3125e-1,1,0.0070733414923541296841667565874047928896976214221969 0.5000000000000000277555756156289135105907917022705078125e-1,0.30000000000000002868496450783871180151833414017045176236907211286819574524997733533382415771484375e-19,0.89147789630497389048411363240816610136820078236005 0.5000000000000000277555756156289135105907917022705078125e-1,0.299999999999999988897769753748434595763683319091796875,0.045618878125654241897394564946684600985164385607639 0.5000000000000000277555756156289135105907917022705078125e-1,0.6999999999999999555910790149937383830547332763671875,0.019379226619167034175698122157705758462007887644123 -0.5000000000000000277555756156289135105907917022705078125e-1,1,0.011523652948539911507278652917707082527734466677960 +0.5000000000000000277555756156289135105907917022705078125e-1,1,0.01152365294853991150727865291770708252773446667796 0.5000000000000000277555756156289135105907917022705078125e-1,1.100000000000000088817841970012523233890533447265625,0.0098045338580159913567282426318493269102656081548304 0.5000000000000000277555756156289135105907917022705078125e-1,2,0.0026385427087965347269291818247561307068282355944215 0.5000000000000000277555756156289135105907917022705078125e-1,10,0.00000024057755868722072098537452990315576585753920508769 -0.5000000000000000277555756156289135105907917022705078125e-1,100,2.3829632609090145251022092128595038729141166555160e-47 -0.625e-1,1,0.014575083221082813783203073017715901905319078745240 +0.5000000000000000277555756156289135105907917022705078125e-1,100,2.382963260909014525102209212859503872914116655516e-47 +0.625e-1,1,0.01457508322108281378320307301771590190531907874524 0.1000000000000000055511151231257827021181583404541015625,10,0.00000055479857179019060795716153419766962612431242195551 0.5,144,1.3562611692059042127803061565904175726667822332881e-64 0.9499999999999999555910790149937383830547332763671875,0.2999999999999999980049621235082650538839033060867222957313060760498046875e-9,0.99999999908358537858948448876319851487361898765959 0.9499999999999999555910790149937383830547332763671875,0.299999999999999988897769753748434595763683319091796875,0.71798649536194343075003472469990408929938796505031 0.9499999999999999555910790149937383830547332763671875,0.6999999999999999555910790149937383830547332763671875,0.47214915608045378151148465677485943166921150976411 1,1,0.36787944117144232159552377016146086744581113103177 -4.5,0,1.0000000000000000000000000000000000000000000000000 +4.5,0,1.0 4.5,1000000000000000019884624838656,0.0 -4.5,Infinity,7.4361078254694293959161641236953105104360622527886e-502 +4.5,Infinity,0.0 5,3,0.81526324452377206628673205626976159234408082208543 10,3,0.99889751186988452025786019827905194883117994291612 10,15,0.069853660699409767692260501862824728666538358783735 -100,100,0.48670120172085133514268574343597083652907485007206 +100,100,0.48670120172085133514268574343597083652907485007205 100,110,0.15827867006008709380170037901703114680664996913418 1000,1000,0.49579475581978449149622215639788120081075881129512 1000,1010,0.37232105526300527246614508358197700355546148775615 -10000,10000,0.49867019166004479961725774870014863251764393682611 +10000,10000,0.49867019166004479961725774870014863251764393682612 10000,11000,1.6928531496469327577017922198393680527232406173236e-22 10000,12000,3.3272024923451613395548343599629334221188479958293e-79 100000,100000,0.49957947788963482330668742095617371385281675803126 1000000,1000000,0.49986701923912740875567718249679329499474782887855 1000001,1000000,0.50026596148628365278538172648360933354385397524098 -10000000,10000000,0.49995794779127630166624383521597401224294106017347 -Infinity,0,1.0000000000000000000000000000000000000000000000000 -Infinity,1,1.0000000000000000000000000000000000000000000000000 +10000000,10000000,0.49995794779127630166624383521597401224294106017346 +Infinity,0,1.0 +Infinity,1,1.0 diff --git a/test/Tests/Data/SpecialFunctionsValues/Log1MinusExp.csv b/test/Tests/Data/SpecialFunctionsValues/Log1MinusExp.csv index b44a5eb43..c39f78d53 100644 --- a/test/Tests/Data/SpecialFunctionsValues/Log1MinusExp.csv +++ b/test/Tests/Data/SpecialFunctionsValues/Log1MinusExp.csv @@ -14,7 +14,7 @@ arg0,expectedresult -4,-0.018485446825886560528921343741169628527364758213487 -3.75,-0.023798701750153114525676322650854878491646290698396 -3.5,-0.030662716255459633651395603686297951507092319194012 --3,-0.051069180942701586538723740522259250404030798386000 +-3,-0.051069180942701586538723740522259250404030798386 -2.5,-0.085650483742038181169965050810071981202160054001473 -2,-0.14541345786885905697264815009947405996169782102185 -1,-0.45867514538708189102164364506732970187697790669219 diff --git a/test/Tests/Data/SpecialFunctionsValues/Log1Plus.csv b/test/Tests/Data/SpecialFunctionsValues/Log1Plus.csv index acb9b65f1..a01233fdf 100644 --- a/test/Tests/Data/SpecialFunctionsValues/Log1Plus.csv +++ b/test/Tests/Data/SpecialFunctionsValues/Log1Plus.csv @@ -1,6 +1,6 @@ arg0,expectedresult -0.299999999999999988897769753748434595763683319091796875e-1,-0.030459207484708544774701468463574392333212470555635 --0.200000000000000004163336342344337026588618755340576171875e-1,-0.020202707317519448832875540038920655962020561493670 +-0.200000000000000004163336342344337026588618755340576171875e-1,-0.02020270731751944883287554003892065596202056149367 -0.1000000000000000020816681711721685132943093776702880859375e-1,-0.010050335853501441393818369798160687248460972641179 -0.600000000000000012490009027033011079765856266021728515625e-2,-0.0060180723255630163275889809951711526827584288837304 -0.5000000000000000104083408558608425664715468883514404296875e-2,-0.0050125418235442821477001797207883096983157871683115 @@ -11,7 +11,7 @@ arg0,expectedresult -0.100000000000000004792173602385929598312941379845142364501953125e-3,-0.00010000500033335834012615288195966126484662384930662 -0.10000000000000000818030539140313095458623138256371021270751953125e-4,-0.000010000050000333336651392053027509799126591837755992 -0.999999999999999954748111825886258685613938723690807819366455078125e-6,-0.0000010000005000003332883314001072863326385904583068646 --0.999999999999999954748111825886258685613938723690807819366455078125e-7,-0.00000010000000500000032880816906340503220903129167845190 +-0.999999999999999954748111825886258685613938723690807819366455078125e-7,-0.0000001000000050000003288081690634050322090312916784519 -0.10000000000000000209225608301284726753266340892878361046314239501953125e-7,-0.000000010000000050000000542558946226874184022008169667304 0,0.0 0.9999999999999999988193093545598986971343290729163921781719182035885751247406005859375e-14,0.0000000000000099999999999999499881930935459324383737411655714468 @@ -19,9 +19,9 @@ arg0,expectedresult 0.999999999999999954748111825886258685613938723690807819366455078125e-7,0.000000099999995000000328808119968442795690981814533140783 0.999999999999999954748111825886258685613938723690807819366455078125e-6,0.00000099999950000033328783149061106234762324148211058851 0.199999999999999990949622365177251737122787744738161563873291015625e-5,0.0000019999980000026665721630777256191994631105746247924 -0.50000000000000004090152695701565477293115691281855106353759765625e-5,0.0000049999875000416669194305161680965387197555851567083 +0.50000000000000004090152695701565477293115691281855106353759765625e-5,0.0000049999875000416669194305161680965387197555851567082 0.10000000000000000818030539140313095458623138256371021270751953125e-4,0.0000099999500003333316513756920833920234446017137624279 -0.2000000000000000163606107828062619091724627651274204254150390625e-4,0.000019999800002666628303335013713654775420392436507167 +0.2000000000000000163606107828062619091724627651274204254150390625e-4,0.000019999800002666628303335013713654775420392436507168 0.100000000000000004792173602385929598312941379845142364501953125e-3,0.000099995000333308340124861113893766398250047666803521 0.2999999999999999737189393389513725196593441069126129150390625e-3,0.00029995500899797545960535252722168270509647141612259 0.4000000000000000191686944095437183932517655193805694580078125e-3,0.00039992002132693539981193063946334095154950105131822 @@ -51,18 +51,18 @@ arg0,expectedresult 0.1600000000000000033306690738754696212708950042724609375e-1,0.015873349156290149572984567277441053140113142483808 0.1700000000000000122124532708767219446599483489990234375e-1,0.016857117066422900519478800151020963666277531164371 0.189999999999999995281552145343084703199565410614013671875e-1,0.018821754240587760972444708634835533578866091740131 -0.200000000000000004163336342344337026588618755340576171875e-1,0.019802627296179713434199296526702062299083254949990 +0.200000000000000004163336342344337026588618755340576171875e-1,0.01980262729617971343419929652670206229908325494999 0.210000000000000013045120539345589349977672100067138671875e-1,0.020782539182528504899853122946210249578260615352387 0.22999999999999999611421941381195210851728916168212890625e-1,0.022739486969489428952537075847296142240885484443754 0.25000000000000001387778780781445675529539585113525390625e-1,0.024692612590371502368238193272247000321929749573155 0.269999999999999996946886682280819513835012912750244140625e-1,0.026641930946421177875173972672392455624500911313229 -0.309999999999999997779553950749686919152736663818359375e-1,0.030529205034822873035062550387199690845708907215480 +0.309999999999999997779553950749686919152736663818359375e-1,0.03052920503482287303506255038719969084570890721548 0.41000000000000001720845688168992637656629085540771484375e-1,0.040181789632831833348017544585737031649017629598848 0.50999999999999996724842077355788205750286579132080078125e-1,0.049742091894814070444579517181484445631212568284398 0.52999999999999998501198916756038670428097248077392578125e-1,0.051643233151838448157131173118794773394801641600199 0.55000000000000000277555756156289135105907917022705078125e-1,0.053540766928029818551827259420066258051983400115489 0.60999999999999998667732370449812151491641998291015625e-1,0.059211859631846081752224999598237966094602591927582 0.63000000000000000444089209850062616169452667236328125e-1,0.061095099359810876794524098185090243504618086559971 -0.1000000000000000055511151231257827021181583404541015625,0.095310179804324865090420417031476626867328191260400 +0.1000000000000000055511151231257827021181583404541015625,0.0953101798043248650904204170314766268673281912604 Infinity,Infinity NaN,NaN diff --git a/test/Tests/Data/SpecialFunctionsValues/LogExpMinus1.csv b/test/Tests/Data/SpecialFunctionsValues/LogExpMinus1.csv index 25598ed11..9031f2ef0 100644 --- a/test/Tests/Data/SpecialFunctionsValues/LogExpMinus1.csv +++ b/test/Tests/Data/SpecialFunctionsValues/LogExpMinus1.csv @@ -1,13 +1,13 @@ arg0,expectedresult 0,-Infinity 0.500000000000000023960868011929647991564706899225711822509765625e-4,-9.9034625524319613309017673351741831822422575178155 -0.5000000000000000104083408558608425664715468883514404296875e-3,-7.6006524491254156956840423057863867170594059443250 +0.5000000000000000104083408558608425664715468883514404296875e-3,-7.600652449125415695684042305786386717059405944325 0.5000000000000000104083408558608425664715468883514404296875e-2,-5.2958163248815870037205538867714992179400005381305 -0.5000000000000000277555756156289135105907917022705078125e-1,-2.9706281090573770461608893084542028078691813512230 +0.5000000000000000277555756156289135105907917022705078125e-1,-2.970628109057377046160889308454202807869181351223 50,49.999999999999999999999807125015203608221698247118 100,99.999999999999999999999999999999999999999999962799 -500,500.00000000000000000000000000000000000000000000000 -800,800.00000000000000000000000000000000000000000000000 -1000,1000.0000000000000000000000000000000000000000000000 +500,500.0 +800,800.0 +1000,1000.0 Infinity,Infinity NaN,NaN diff --git a/test/Tests/Data/SpecialFunctionsValues/LogSumExp.csv b/test/Tests/Data/SpecialFunctionsValues/LogSumExp.csv index f6163e07d..7e026809a 100644 --- a/test/Tests/Data/SpecialFunctionsValues/LogSumExp.csv +++ b/test/Tests/Data/SpecialFunctionsValues/LogSumExp.csv @@ -1,9 +1,9 @@ arg0,arg1,expectedresult -Infinity,-Infinity,-Infinity --Infinity,-1000,-1000.0000000000000000000000000000000000000000000000 --Infinity,1000,1000.0000000000000000000000000000000000000000000000 -0,0,0.69314718055994530941723212145817656807550013436025 -0,1000,1000.0000000000000000000000000000000000000000000000 -1000,0,1000.0000000000000000000000000000000000000000000000 +-Infinity,-1000,-1000.0 +-Infinity,1000,1000.0 +0,0,0.69314718055994530941723212145817656807550013436026 +0,1000,1000.0 +1000,0,1000.0 Infinity,Infinity,Infinity NaN,5,NaN diff --git a/test/Tests/Data/SpecialFunctionsValues/Logistic.csv b/test/Tests/Data/SpecialFunctionsValues/Logistic.csv index 10be0d8a4..bf42b08f3 100644 --- a/test/Tests/Data/SpecialFunctionsValues/Logistic.csv +++ b/test/Tests/Data/SpecialFunctionsValues/Logistic.csv @@ -9,14 +9,14 @@ arg0,expectedresult -3,0.047425873177566780878848151771752201386179432420609 -2,0.11920292202211755594027085869760320479361570137103 -1,0.26894142136999512074884075817816372563485535983494 -0,0.50000000000000000000000000000000000000000000000000 +0,0.5 1,0.73105857863000487925115924182183627436514464016506 2,0.88079707797788244405972914130239679520638429862897 3,0.95257412682243321912115184822824779861382056757939 4,0.98201379003790844197320686205046157512751498812047 -5,0.99330714907571514444063801961867481960625599109270 +5,0.9933071490757151444406380196186748196062559910927 6,0.99752737684336522566594009262774423754890692735014 7,0.99908894880559935464213667622530585867585193973868 -8,0.99966464986953352189612167217086248100266992644720 +8,0.9996646498695335218961216721708624810026699264472 9,0.99987660542401376827025308689525082007806122422412 10,0.99995460213129756560549522376723651054490630799527 diff --git a/test/Tests/Data/SpecialFunctionsValues/LogisticLn.csv b/test/Tests/Data/SpecialFunctionsValues/LogisticLn.csv index ea25cd81b..fa057e693 100644 --- a/test/Tests/Data/SpecialFunctionsValues/LogisticLn.csv +++ b/test/Tests/Data/SpecialFunctionsValues/LogisticLn.csv @@ -1,13 +1,27 @@ arg0,expectedresult -Infinity,-Infinity --750,-750.00000000000000000000000000000000000000000000000 -0,-0.69314718055994530941723212145817656807550013436025 -8,-0.00033540637289576883157390985603286894376542955419420 +-750,-750.0 +-40,-40.000000000000000004248354255291588986304977843632 +-39,-39.000000000000000011548224173015785919581701288211 +-38,-38.000000000000000031391327920480295794381912216756 +-37,-37.000000000000000085330476257440654302135409068591 +-36,-36.00000000000000023195228302435691193029556086812 +-35,-35.000000000000000630511676014698739791415323792397 +-34,-34.000000000000001713908431542011497561664487176254 +-33,-33.000000000000004658886145103386511574189025446816 +-32,-32.000000000000012664165549094095532576376724749478 +-31,-31.000000000000034424771084699172051491776351610959 +-30,-30.000000000000093576229688397367793776974246751577 +0,-0.69314718055994530941723212145817656807550013436026 +8,-0.0003354063728957688315739098560328689437654295541942 9,-0.00012340218972325881635013875004363825101263080889546 11.0999999999999996447286321199499070644378662109375,-0.000015112209629839864821743003767547093871485913469519 12,-0.0000061441934777328054345790662081867031712576890024895 13,-0.0000022603268524403896956549034079902745222702713815536 36,-2.3195228302435691193029556086812009484425829864129e-16 37,-8.5330476257440654302135409068590731614802300835525e-17 +38,-3.1391327920480295794381912216756305355283280483729e-17 +50,-1.9287498479639177830171568127282115329546846903571e-22 +100,-3.720075976020835962959695803863118337358892223182e-44 Infinity,0.0 NaN,NaN diff --git a/test/Tests/Data/SpecialFunctionsValues/NormalCdf.csv b/test/Tests/Data/SpecialFunctionsValues/NormalCdf.csv index 5cb6a5665..3b946c86f 100644 --- a/test/Tests/Data/SpecialFunctionsValues/NormalCdf.csv +++ b/test/Tests/Data/SpecialFunctionsValues/NormalCdf.csv @@ -4,20 +4,20 @@ arg0,expectedresult -20,2.7536241186062336950756227808574653328074977347593e-89 -18,9.7409489189371504825918951899714985838839796454482e-73 -17.5,7.1634587662350358453606437501963875195253108209322e-69 --17,4.1059962020989062895946551938626856191301850111580e-65 --16.60000000000000142108547152020037174224853515625,3.4845465199503256054808152068742469410844723347810e-62 +-17,4.105996202098906289594655193862685619130185011158e-65 +-16.60000000000000142108547152020037174224853515625,3.484546519950325605480815206874246941084472334781e-62 -16.5,1.8344630031647311099545808427968491682959303139712e-61 -16,6.3887544005380872812754825749176666248867202353704e-58 --15.5,1.7344607917938700513404475926637119064865047852890e-54 +-15.5,1.734460791793870051340447592663711906486504785289e-54 -15,3.6709661993127508857860896553347434864162516280402e-51 -14.4000000000000003552713678800500929355621337890625,2.5871759254022492777332566175709127175423988667365e-47 -13.300000000000000710542735760100185871124267578125,1.1573416283690325941702614482749919537060539339934e-40 -13,6.1171643995498796822752097725440711451128915282894e-39 -12.199999999999999289457264239899814128875732421875,1.5541197863896070710239644992792903984174469750097e-34 --12,1.7764821120776789976961710018455570923926664341790e-33 +-12,1.776482112077678997696171001845557092392666434179e-33 -11.0999999999999996447286321199499070644378662109375,6.2721943932170505833214177181518164122964784318052e-29 --11,1.9106595744986757111504156337077906997678717117140e-28 --10,7.6198530241605260659733432515993083635040332779570e-24 +-11,1.910659574498675711150415633707790699767871711714e-28 +-10,7.619853024160526065973343251599308363504033277957e-24 -9,1.1285884059538406477355020759687472579800419008182e-19 -8.9000000000000003552713678800500929355621337890625,2.7923343749396466290186206971626011311364288765522e-19 -8.5,9.4795348222033183541510504678475514928264500867638e-18 @@ -28,21 +28,21 @@ arg0,expectedresult -6.5,0.000000000040160005838591178083461454224006874886970706521132 -6,0.00000000098658764503769814070086413239804201866979124997903 -5,0.00000028665157187919391167375233287464535385442301361189 --4.75,0.0000010170832425687031712591823118030219199924976855490 --4.5,0.0000033976731247300604016874491908715235121047650868487 --4,0.000031671241833119921253770756722151298443833375480276 +-4.75,0.000001017083242568703171259182311803021919992497685549 +-4.5,0.0000033976731247300604016874491908715235121047650868486 +-4,0.000031671241833119921253770756722151298443833375480277 -3.5,0.00023262907903552503634992588672798477354874933588904 -3,0.0013498980316300945266518147675949773778293681583806 -2.5,0.0062096653257761351669781045741922211278977469230928 -2,0.022750131948179207200282637166533437471776223701678 -1.899999999999999911182158029987476766109466552734375,0.028716559816001805229192031555368119114383230990509 -1.5,0.066807201268858066004494040979886079522895185661221 --1,0.15865525393145705141476745436796207752208703327340 +-1,0.1586552539314570514147674543679620775220870332734 -0.75,0.22662735237686819932706216938347641176906492654227 -0.5,0.30853753872598689636229538939166226011639782444542 -0.25,0.40129367431707627575914620841896626071795251875897 -0,0.50000000000000000000000000000000000000000000000000 -1,0.84134474606854294858523254563203792247791296672660 +0,0.5 +1,0.8413447460685429485852325456320379224779129667266 2,0.97724986805182079279971736283346656252822377629832 3,0.99865010196836990547334818523240502262217063184162 4,0.99996832875816688007874622924327784870155616662452 @@ -51,5 +51,5 @@ arg0,expectedresult 7,0.99999999999872018745611416499561637630921916700197 8,0.99999999999999937790394257282158764840048274118116 9,0.99999999999999999988714115940461593522644979240313 -Infinity,1.0000000000000000000000000000000000000000000000000 +Infinity,1.0 NaN,NaN diff --git a/test/Tests/Data/SpecialFunctionsValues/NormalCdf2.csv b/test/Tests/Data/SpecialFunctionsValues/NormalCdf2.csv index b76948747..09090334f 100644 --- a/test/Tests/Data/SpecialFunctionsValues/NormalCdf2.csv +++ b/test/Tests/Data/SpecialFunctionsValues/NormalCdf2.csv @@ -4,7 +4,7 @@ arg0,arg1,arg2,expectedresult -312498.3686245033168233931064605712890625,312498.2982211210182867944240570068359375,-0.9999893339082690513208717675297521054744720458984375,0.0 -20,21,-1,2.7536241153269556760965868411217846517700386504614e-89 -17.162326606420659658169824979268014430999755859375,13.435028842544401328495951020158827304840087890625,-0.6741998624632419279123496380634605884552001953125,2.5244995486068926489660287251956119723030007308959e-66 --16,-16.800000000000000710542735760100185871124267578125,0.5,1.4825868257615674418050592934772140800277688201471e-81 +-16,-16.800000000000000710542735760100185871124267578125,0.5,1.4825868257615674418050592934772140800277688201472e-81 -10,-0.5,-0.5,5.9485918743425334648483336290563405288056997125093e-34 -7.4947653324385914430649791029281914234161376953125,1.4313580136899439754216700748656876385211944580078125,-0.1935445972711526685383631729564513079822063446044921875,0.000000000000016007994721293091986948395142551912985803355089586 -4.5,-4.5,-0.59999999999999997779553950749686919152736663818359375,1.5733238816504343735962005152524760203925604197707e-25 @@ -13,36 +13,38 @@ arg0,arg1,arg2,expectedresult -2.899999999999999911182158029987476766109466552734375,-2.899999999999999911182158029987476766109466552734375,-0.4899999999999999911182158029987476766109466552734375,0.00000000035523906515238593570477701034961410543854368449051 -2,-2,-0.90000000000000002220446049250313080847263336181640625,3.7386504806480836827005339523556076066253918341126e-21 -2,1.3000000000000000444089209850062616169452667236328125,-0.5,0.012554361994507171804109231335338079149147711419314 --2,1.5,-0.5,0.014546630287190704671468427149065625605691517376460 --1.9315113095095532980138841594452969729900360107421875,1.835951210900940822057236800901591777801513671875,0.52222045656167426219695926192798651754856109619140625,0.026703981978683092629507081197727617973452342296153 +-2,1.5,-0.5,0.01454663028719070467146842714906562560569151737646 +-1.9315113095095532980138841594452969729900360107421875,1.835951210900940822057236800901591777801513671875,0.52222045656167426219695926192798651754856109619140625,0.026703981978683092629507081197727617973452342296154 -1.6450031341281901031692314063548110425472259521484375,1.264562511708100078777761154924519360065460205078125,-0.54054238344619996714524035041904426179826259613037109375e-1,0.043779230757826440252119597510927443098134831520922 -1.523587160940741203063453212962485849857330322265625,0.692969096255159622277375319754355587065219879150390625e-1,-0.27053117898400667884484249725574045442044734954833984375e-1,0.032318162267272355766812628848476437028930543460209 -1.5,1.5,-0.520000000000000017763568394002504646778106689453125,0.047650163957978834004957591762517084685639325441149 -1.5,1.5,-0.5100000000000000088817841970012523233890533447265625,0.048070656361909461649001624396731619946717888877441 -1.5,1.5,-0.5,0.048484159276754077844620074797700417178461930921369 -1.5,1.5,-0.4899999999999999911182158029987476766109466552734375,0.048890827187860007839948605065001632950733942881183 --1.14330750248111900901903936755843460559844970703125,0.4998379533460168833158832057961262762546539306640625,-0.65000000000000002220446049250313080847263336181640625,0.030684909662124204327386819085190760919958383087380 +-1.14330750248111900901903936755843460559844970703125,0.4998379533460168833158832057961262762546539306640625,-0.65000000000000002220446049250313080847263336181640625,0.03068490966212420432738681908519076091995838308738 -1.14330750248111900901903936755843460559844970703125,0.6455514028876898624531577297602780163288116455078125,-0.53867143302788544900749911903403699398040771484375,0.049792920736062681523536777661503260163891030207519 -1.009788724666292214493523715646006166934967041015625,-0.391973746446374560203906867172918282449245452880859375,-0.75621800319662579870083618516218848526477813720703125,0.0023128798398917993744631222651445063120001958008128 -1,-1,-1,0.0 -1,0.59999999999999997779553950749686919152736663818359375,-1,0.0 -0.5,0.5,-0.40000000000000002220446049250313080847263336181640625,0.16023126296951161995429758571843464207542253286712 +-0.333333333333333314829616256247390992939472198486328125,1.5,0,0.34475999821120390064931150161369442338373894306102 +-0.333333333333333314829616256247390992939472198486328125,1.5,-0.1666666666666666574148081281236954964697360992431640625,0.33631517869977363188498797718210300973483313655198 -0.1195228609334393621299597043616813607513904571533203125,-0.8164965809277259511933522162507870234549045562744140625e-1,-0.683130051063973287028829872724600136280059814453125,0.093915782239914998318547206191242618524421890984383 -0.255629230546539909507686161305173300206661224365234375e-1,0.157004614019325243468028219240295584313571453094482421875e-1,-0.9999982426558282622153228658135049045085906982421875,0.0000000000095694701738830956862130960831084933266212232584056 -0.99999999999999997524592683526013185572915905567688179926555402943222361500374972820281982421875e-19,0.1100000000000000165363513957509730346899869219737301833002274253914265500498004257678985595703125e-18,-1,3.9894228040143343639938356961743859965228286303817e-21 0,0,-0.9999000000000000110134124042815528810024261474609375,0.0022508095474045969999055212049342306756924584496205 -0,0,-0.99899999999999999911182158029987476766109466552734375,0.0071182187031198306970543428960341187141534620441530 +0,0,-0.99899999999999999911182158029987476766109466552734375,0.007118218703119830697054342896034118714153462044153 0,0,-0.9899999999999999911182158029987476766109466552734375,0.022526706822206061953435776645739505752794587301481 0.59999999999999997779553950749686919152736663818359375,-1,-1,0.0 -0.999999999999999555910790149937383830547332763671875,1,-0.999999999999999555910790149937383830547332763671875,0.68268949213708578971387723271050929431058532092303 -1,100,-0.9499999999999999555910790149937383830547332763671875,0.84134474606854294858523254563203792247791296672660 +0.999999999999999555910790149937383830547332763671875,1,-0.999999999999999555910790149937383830547332763671875,0.68268949213708578971387723271050929431058532092304 +1,100,-0.9499999999999999555910790149937383830547332763671875,0.8413447460685429485852325456320379224779129667266 1.1999999999999999555910790149937383830547332763671875,1.3000000000000000444089209850062616169452667236328125,-1,0.78812984519268139781247106016440515063573480155165 -1.1999999999999999555910790149937383830547332763671875,1.3000000000000000444089209850062616169452667236328125,-0.9499999999999999555910790149937383830547332763671875,0.78812984519268141866851470816292803274760678790520 +1.1999999999999999555910790149937383830547332763671875,1.3000000000000000444089209850062616169452667236328125,-0.9499999999999999555910790149937383830547332763671875,0.7881298451926814186685147081629280327476067879052 1.1999999999999999555910790149937383830547332763671875,1.3000000000000000444089209850062616169452667236328125,-0.90000000000000002220446049250313080847263336181640625,0.78812984554247146649512711941853609601453831828624 1.1999999999999999555910790149937383830547332763671875,1.3000000000000000444089209850062616169452667236328125,-0.5,0.78902739037584387991535677453013746170549399631126 -1.1999999999999999555910790149937383830547332763671875,1.3000000000000000444089209850062616169452667236328125,-0.25,0.79255822937892401795666224288334858046760100299018 +1.1999999999999999555910790149937383830547332763671875,1.3000000000000000444089209850062616169452667236328125,-0.25,0.79255822937892401795666224288334858046760100299019 1.1999999999999999555910790149937383830547332763671875,1.3000000000000000444089209850062616169452667236328125,0,0.79926864503124913333710412870458705043393275164614 -1.1999999999999999555910790149937383830547332763671875,1.3000000000000000444089209850062616169452667236328125,0.25,0.80925823578025387139020007747489348440054416592780 +1.1999999999999999555910790149937383830547332763671875,1.3000000000000000444089209850062616169452667236328125,0.25,0.8092582357802538713902000774748934844005441659278 1.1999999999999999555910790149937383830547332763671875,1.3000000000000000444089209850062616169452667236328125,0.5,0.82304948815683307350294264350338685900391478027574 1.1999999999999999555910790149937383830547332763671875,1.3000000000000000444089209850062616169452667236328125,0.90000000000000002220446049250313080847263336181640625,0.86081587849775985234959431777594888305115703387514 1.1999999999999999555910790149937383830547332763671875,1.3000000000000000444089209850062616169452667236328125,0.9499999999999999555910790149937383830547332763671875,0.86992694986281717957138848511642564571505110932977 @@ -51,7 +53,7 @@ arg0,arg1,arg2,expectedresult 8,100,-0.9499999999999999555910790149937383830547332763671875,0.99999999999999937790394257282158764840048274118116 9,100,-0.9499999999999999555910790149937383830547332763671875,0.99999999999999999988714115940461593522644979240313 10,1,0.5,0.84134474606854294858523254562051249453026561637107 -500,100,-0.9499999999999999555910790149937383830547332763671875,1.0000000000000000000000000000000000000000000000000 +500,100,-0.9499999999999999555910790149937383830547332763671875,1.0 Infinity,-Infinity,0.5,0.0 Infinity,1.3000000000000000444089209850062616169452667236328125,0.5,0.90319951541438967445828443926062541997234862372728 -Infinity,Infinity,0.5,1.0000000000000000000000000000000000000000000000000 +Infinity,Infinity,0.5,1.0 diff --git a/test/Tests/Data/SpecialFunctionsValues/NormalCdfIntegral.csv b/test/Tests/Data/SpecialFunctionsValues/NormalCdfIntegral.csv index d560df7fc..14c758340 100644 --- a/test/Tests/Data/SpecialFunctionsValues/NormalCdfIntegral.csv +++ b/test/Tests/Data/SpecialFunctionsValues/NormalCdfIntegral.csv @@ -12,7 +12,7 @@ arg0,arg1,arg2,expectedresult -0.94102098773740083803573952536680735647678375244140625,-1.2461486442846207989276763328234665095806121826171875,0.52400769210337749814954122484778054058551788330078125,0.035369263379357935872611137585587774207211039425496 -0.5,0.1000000000000000055511151231257827021181583404541015625,-1,0.0 -0.5,0.1000000000000000055511151231257827021181583404541015625,-0.9999000000000000110134124042815528810024261474609375,2.5563333094768766908683101338637482012394291162077e-183 --0.5,Infinity,0.1000000000000000055511151231257827021181583404541015625,0.19779655740130602959353274690068652305211626815300 +-0.5,Infinity,0.1000000000000000055511151231257827021181583404541015625,0.197796557401306029593532746900686523052116268153 -0.4999000000000000110134124042815528810024261474609375,0.5,-1,0.0000000017603559714980955072133564817956243941836952695131 -0.4999000000000000110134124042815528810024261474609375,0.5,-0.9999000000000000110134124042815528810024261474609375,0.000017769677765679833015576631428204156680786586989589 -0.49899999999999999911182158029987476766109466552734375,0.5,-1,0.00000017606199115330563116797058987851358659600869822525 @@ -30,9 +30,9 @@ arg0,arg1,arg2,expectedresult 0.21034851174404435580900241120616556145250797271728515625e-1,-0.379612420875336142866984801003127358853816986083984375,-0.9999999973176390000162427895702421665191650390625,0.0 0.1000000000000000055511151231257827021181583404541015625,-0.5,-1,0.0 0.1000000000000000055511151231257827021181583404541015625,-0.5,-0.9999000000000000110134124042815528810024261474609375,2.5567149109305967067404871611047627957146392810282e-183 -0.1000000000000000055511151231257827021181583404541015625,-0.5,0.9999000000000000110134124042815528810024261474609375,0.38288387410422174305330054666873098612499308826030 +0.1000000000000000055511151231257827021181583404541015625,-0.5,0.9999000000000000110134124042815528810024261474609375,0.3828838741042217430533005466687309861249930882603 0.1000000000000000055511151231257827021181583404541015625,0.5,-1,0.068016250567816497530079298908053561592860997722487 -0.1000000000000000055511151231257827021181583404541015625,0.5,-0.9999000000000000110134124042815528810024261474609375,0.068051457100492923600416130048839153412235048312369 +0.1000000000000000055511151231257827021181583404541015625,0.5,-0.9999000000000000110134124042815528810024261474609375,0.06805145710049292360041613004883915341223504831237 0.1000000000000000055511151231257827021181583404541015625,0.5,-0.90000000000000002220446049250313080847263336181640625,0.10185469947014977953825022853909955636010758809867 0.5,0.1000000000000000055511151231257827021181583404541015625,-1,0.070757928562808756137822886197192531006875319852785 0.5,0.1000000000000000055511151231257827021181583404541015625,-0.9999000000000000110134124042815528810024261474609375,0.070797623817556452942549793584164572709545407805594 @@ -40,14 +40,14 @@ arg0,arg1,arg2,expectedresult 0.5,0.5,-1,0.19146246127401310363770461060833773988360217555458 0.730806824297790313949008123017847537994384765625,-0.57951293845369067359030168518074788153171539306640625,-0.9999915286336837905167840290232561528682708740234375,0.0037455902014599491349553562635027238200091505419577 0.89626183425208061361644240605528466403484344482421875,-0.941780514908581611877025352441705763339996337890625,-0.77953292732402090781107517614145763218402862548828125,0.030038007340619704368492386845982862646723265752271 -1,-100,-0.10000000000000001942890293094023945741355419158935546875e-1,5.6975329929617417062283523990063741498309513699171e-2175 +1,-100,-0.10000000000000001942890293094023945741355419158935546875e-1,5.3615586282189464560306524724644440792057038293581e-2175 1.144658872358863987983568222261965274810791015625,-1.221585955110594756689579298836179077625274658203125,-0.816172903577404351693758144392631947994232177734375,0.017564280718115717099251712425168772131994353074329 2,1.899999999999999911182158029987476766109466552734375,1,2.0081826951426729918798769454069891624334602150359 2,2,1,2.0084907026168296375499989260776467067962620930435 5,0.5,-1,3.1052470330674213787419921509231402794930934446742 19.0734841971814290673137293197214603424072265625,-19.073488459566977581971514155156910419464111328125,-0.999999999999960476060323344427160918712615966796875,4.3734963051465446941807859524719604114361141019308e-147 50,0.5,-1,34.221057736936355704110550088820369341069793597353 -54.1440286296494406315105152316391468048095703125,16.352706352205796491716682794503867626190185546875,-1,54.144028629649440631510515231639146804809570312500 +54.1440286296494406315105152316391468048095703125,16.352706352205796491716682794503867626190185546875,-1,54.1440286296494406315105152316391468048095703125 790.8036889243788891690201126039028167724609375,-108177636171.168060302734375,-0.9458744064347397451086862929514609277248382568359375,0.0 1003,-1001,0,0.0 Infinity,-57.97719538933819904968913760967552661895751953125,-1,Infinity diff --git a/test/Tests/Data/SpecialFunctionsValues/NormalCdfIntegralRatio.csv b/test/Tests/Data/SpecialFunctionsValues/NormalCdfIntegralRatio.csv index 16cc5d750..ace3e3056 100644 --- a/test/Tests/Data/SpecialFunctionsValues/NormalCdfIntegralRatio.csv +++ b/test/Tests/Data/SpecialFunctionsValues/NormalCdfIntegralRatio.csv @@ -1,13 +1,13 @@ arg0,arg1,arg2,expectedresult -Infinity,0,-0.1000000000000000055511151231257827021181583404541015625,0.0 -213393529.2046706974506378173828125,213393529.2046706974506378173828125,-1,0.0 --2499147.0063773919828236103057861328125,2499147.2739186179824173450469970703125,-1,0.00000040013652556166256381476619260787033556412537024382 +-2499147.0063773919828236103057861328125,2499147.2739186179824173450469970703125,-1,0.00000040013652556166256381476619260787033556412537559486 -39062.4923802060075104236602783203125,39062.5011106818928965367376804351806640625,-0.9999998333405668571316482484689913690090179443359375,0.000025600004960154713498351213672772546931354593117187 --824.4368021638800883010844700038433074951171875,-23300.71373148090788163244724273681640625,-0.9991576459172382129736433853395283222198486328125,0.000000069859450855259114021292508788711465850251869369458 +-824.4368021638800883010844700038433074951171875,-23300.71373148090788163244724273681640625,-0.9991576459172382129736433853395283222198486328125,0.000000069859450855251560484453067398000147143455836877438 -40,42,-1,0.024968847207263723244870995369735748724396864017806 -0.12449767319913680740928185741722700186073780059814453125,Infinity,-0.99757523672528092273381616905680857598781585693359375,0.75429721821181474764171794425158507635994390204853 0,-Infinity,-0.1000000000000000055511151231257827021181583404541015625,0.0 0.1000000000000000055511151231257827021181583404541015625,0.5,-0.9999000000000000110134124042815528810024261474609375,0.29422529836665436372967277992342662679810539983787 0.1000000000000000055511151231257827021181583404541015625,0.5,-0.90000000000000002220446049250313080847263336181640625,0.42670895908994223749934848783589380783300239565069 -790.8036889243788891690201126039028167724609375,-1081776354979.671875,-0.9458744064347397451086862929514609277248382568359375,0.00000000000010293107755790881998442451811762562472221859208180 -790.8036889243788891690201126039028167724609375,-1081777102.232640743255615234375,-0.9458744064347397451086862929514609277248382568359375,0.00000000010293108592794333001795586600504482392075093766248 +790.8036889243788891690201126039028167724609375,-1081776354979.671875,-0.9458744064347397451086862929514609277248382568359375,0.00000000000010293107755790884180702240413126799003430445025946 +790.8036889243788891690201126039028167724609375,-1081777102.232640743255615234375,-0.9458744064347397451086862929514609277248382568359375,0.00000000010293108592794335631379519941925590104803860773446 diff --git a/test/Tests/Data/SpecialFunctionsValues/NormalCdfLn.csv b/test/Tests/Data/SpecialFunctionsValues/NormalCdfLn.csv index 15d78d4e3..d6d43fbe3 100644 --- a/test/Tests/Data/SpecialFunctionsValues/NormalCdfLn.csv +++ b/test/Tests/Data/SpecialFunctionsValues/NormalCdfLn.csv @@ -7,27 +7,27 @@ arg0,expectedresult -16,-131.69539607375968629013187141970765688843138648583 -15.999990000000000378577169612981379032135009765625,-131.69523545359960494758574977573666091966923880439 -15.9000000000000003552713678800500929355621337890625,-130.09417480888481657407867294154754777386648682069 --15.5,-123.78889843941037612171420037936073881965813401490 +-15.5,-123.7888984394103761217142003793607388196581340149 -10.5,-58.404187061073243415748466736888377797234016740839 -10.0999999999999996447286321199499070644378662109375,-54.246047542693631265572484589095405014487794998063 -10.000009999999999621422830387018620967864990234375,-53.231386131494334111961801153525294572838252482108 -10,-53.231285150512470578347027354131209878916015829586 -9.999990000000000378577169612981379032135009765625,-53.231184169629662506942187486438471832275316660845 --9.9000000000000003552713678800500929355621337890625,-52.226428300404045066136824863824475814500611876793 +-9.9000000000000003552713678800500929355621337890625,-52.226428300404045066136824863824475814500611876792 -9.5,-48.306019298965230281963141975411976893259848095814 --9,-43.628149113332115496789052013412883609635482198440 +-9,-43.62814911333211549678905201341288360963548219844 -8,-35.013437159914549895504128152535310550574757606507 -7.0999999999999996447286321199499070644378662109375,-28.102971524787558921175129385419553760213594106331 -7,-27.384307498811075242630123885801050272282012361527 --6.9000000000000003552713678800500929355621337890625,-26.675460839155644653718217260646864110061074406960 -0,-0.69314718055994530941723212145817656807550013436025 +-6.9000000000000003552713678800500929355621337890625,-26.67546083915564465371821726064686411006107440696 +0,-0.69314718055994530941723212145817656807550013436026 0.1000000000000000841914401809516265730919233218894175141411295726356911472976207733154296875e-15,-0.69314718055994522962877604117157698813487784609639 1,-0.17275377902344988952648317352080073000942629052798 -2,-0.023012909328963488465336174908508759272021280512280 +2,-0.02301290932896348846533617490850875927202128051228 3,-0.0013508099647481937988411104905173800927293482937759 4,-0.000031671743377489263860273286799149034205653591110759 5,-0.00000028665161296376359338459625849560923497520495939539 -6,-0.00000000098658764552437573169147973037204835173245623481770 +6,-0.0000000009865876455243757316914797303720483517324562348177 7,-0.0000000000012798125438866539644573681556989475180745678465483 8,-6.2209605742717860585335185047852964405788154486114e-16 9,-1.1285884059538406477991876654714188088055218693902e-19 diff --git a/test/Tests/Data/SpecialFunctionsValues/NormalCdfLn2.csv b/test/Tests/Data/SpecialFunctionsValues/NormalCdfLn2.csv index d9049793f..01f00892a 100644 --- a/test/Tests/Data/SpecialFunctionsValues/NormalCdfLn2.csv +++ b/test/Tests/Data/SpecialFunctionsValues/NormalCdfLn2.csv @@ -1,12 +1,12 @@ arg0,arg1,arg2,expectedresult -Infinity,Infinity,0.5,-Infinity --9945842.62906782515347003936767578125,9945822.06800303049385547637939453125,-0.9891958110248051383450729190371930599212646484375,-49459892801108.425726931886363214188970559217641419 --312498.3686245033168233931064605712890625,312498.2982211210182867944240570068359375,-0.9999893339082690513208717675297521054744720458984375,-48827615210.059272573857776712857226747641701183369 +-9945842.62906782515347003936767578125,9945822.06800303049385547637939453125,-0.9891958110248051383450729190371930599212646484375,-49459892801285.500323383881351469927253362271460929 +-312498.3686245033168233931064605712890625,312498.2982211210182867944240570068359375,-0.9999893339082690513208717675297521054744720458984375,-48827615315.319765922897082624700306671686794709198 -63,63,-0.46374946374946379723525069493916817009449005126953125,-1989.5623250537256917339818749521250583973045698991 -20,-21,0.5,-287.59599647372995645990323264954196323654372871123 -20,21,-1,-203.91715537228815923684690020322401045645572501133 -17.162326606420659658169824979268014430999755859375,13.435028842544401328495951020158827304840087890625,-0.6741998624632419279123496380634605884552001953125,-151.04457329309515218118609373034134030021830524159 --14,-14.7000000000000010658141036401502788066864013671875,0.5,-143.75347547431540334454029874473765663605627228180 +-14,-14.7000000000000010658141036401502788066864013671875,0.5,-143.7534754743154033445402987447376566360562722818 -10,-0.5,-0.5,-76.504738630022722441940876196307558350317437469883 -4.5,-4.5,-0.59999999999999997779553950749686919152736663818359375,-57.111436821365403806993315649172037342510190414565 -3,-3.5,-0.7199999999999999733546474089962430298328399658203125,-44.175239867478985269761447874701454640001859055629 @@ -25,7 +25,7 @@ arg0,arg1,arg2,expectedresult -0.299999999999999988897769753748434595763683319091796875,-0.299999999999999988897769753748434595763683319091796875,-0.99999899999999997124433548378874547779560089111328125,-90020.499784713269576082104583646357145049649108487 -0.1000000000000000055511151231257827021181583404541015625,-0.1000000000000000055511151231257827021181583404541015625,-0.99999899999999997124433548378874547779560089111328125,-10018.302695743832523731945625504036568925626812299 -0.1000000000000000055511151231257827021181583404541015625,-0.1000000000000000055511151231257827021181583404541015625,-0.99999000000000004551026222543441690504550933837890625,-1014.8501635587852911532938633542675480149718528188 --0.1000000000000000055511151231257827021181583404541015625,-0.1000000000000000055511151231257827021181583404541015625,-0.9999000000000000110134124042815528810024261474609375,-111.40951202077536245064508275421144293505057686189 +-0.1000000000000000055511151231257827021181583404541015625,-0.1000000000000000055511151231257827021181583404541015625,-0.9999000000000000110134124042815528810024261474609375,-111.40951202078655068170070441229732504722146601819 -0.1000000000000000020816681711721685132943093776702880859375e-1,0.175879396984924998674493235029103743727318942546844482421875e-2,-0.5909547738693470275705976746394298970699310302734375,-1.9123400906813249676460297733313167878789658141771 -0.99999999999999997524592683526013185572915905567688179926555402943222361500374972820281982421875e-19,0.1100000000000000165363513957509730346899869219737301833002274253914265500498004257678985595703125e-18,-1,-46.970640393085584520964287607598724115028501578304 0.59999999999999997779553950749686919152736663818359375,-1,-1,-Infinity From 42cda5947cf175448722f304e73f75014dd0aa03 Mon Sep 17 00:00:00 2001 From: Tom Minka <8955276+tminka@users.noreply.github.com> Date: Thu, 14 May 2020 14:35:37 +0100 Subject: [PATCH 2/3] Fixed safe_quad and NormalCdfLn2.csv --- .../PythonScripts/ComputeSpecialFunctionsTestValues.py | 9 ++++++--- test/Tests/Core/SpecialFunctionsTest.cs | 9 +++++---- test/Tests/Data/SpecialFunctionsValues/NormalCdfLn2.csv | 2 +- 3 files changed, 12 insertions(+), 8 deletions(-) diff --git a/src/Tools/PythonScripts/ComputeSpecialFunctionsTestValues.py b/src/Tools/PythonScripts/ComputeSpecialFunctionsTestValues.py index 9c6dd5b81..a5fcff412 100644 --- a/src/Tools/PythonScripts/ComputeSpecialFunctionsTestValues.py +++ b/src/Tools/PythonScripts/ComputeSpecialFunctionsTestValues.py @@ -26,7 +26,6 @@ import os import csv from mpmath import * -import mpmath import time mp.pretty = True @@ -107,12 +106,16 @@ def safe_quad(f, points): if verbose: print(f"Rescaling integrand by {nstr(1/estimate)}") result, err = quad(lambda x: f(x)/estimate, points, error=True, verbose=verbose) + result *= estimate + err *= estimate if mpf(10)**output_dps * abs(err) > abs(result): estimate = result if verbose: print(f"Rescaling integrand by {nstr(1/estimate)}") - result, err = quad(lambda x: f(x)/result, points, error=True, verbose=verbose) - return result*estimate, err*estimate + result, err = quad(lambda x: f(x)/estimate, points, error=True, verbose=verbose) + result *= estimate + err *= estimate + return result, err def normal_cdf2_ln(x, y, r): return ln(normal_cdf2(x, y, r)) diff --git a/test/Tests/Core/SpecialFunctionsTest.cs b/test/Tests/Core/SpecialFunctionsTest.cs index b65ca3454..8781b27ba 100644 --- a/test/Tests/Core/SpecialFunctionsTest.cs +++ b/test/Tests/Core/SpecialFunctionsTest.cs @@ -21,6 +21,7 @@ namespace Microsoft.ML.Probabilistic.Tests public class SpecialFunctionsTests { public const double TOLERANCE = 1e-15; + const double defaultAssertTolerance = 1e-11; public delegate double MathFcn(double arg); public delegate double MathFcn2(double arg1, double arg2); @@ -1909,22 +1910,22 @@ private static void WritePairs(double[,] pairs, string folder, string name) } } - private static void CheckFunctionValues(string name, MathFcn fcn, double[,] pairs, double assertTolerance = 1e-11) + private static void CheckFunctionValues(string name, MathFcn fcn, double[,] pairs, double assertTolerance = defaultAssertTolerance) { CheckFunctionValues(name, (Delegate)fcn, pairs, assertTolerance); } - private static void CheckFunctionValues(string name, MathFcn2 fcn, double[,] pairs, double assertTolerance = 1e-11) + private static void CheckFunctionValues(string name, MathFcn2 fcn, double[,] pairs, double assertTolerance = defaultAssertTolerance) { CheckFunctionValues(name, (Delegate)fcn, pairs, assertTolerance); } - private static void CheckFunctionValues(string name, MathFcn3 fcn, double[,] pairs, double assertTolerance = 1e-11) + private static void CheckFunctionValues(string name, MathFcn3 fcn, double[,] pairs, double assertTolerance = defaultAssertTolerance) { CheckFunctionValues(name, (Delegate)fcn, pairs, assertTolerance); } - private static void CheckFunctionValues(string name, MathFcn4 fcn, double[,] pairs, double assertTolerance = 1e-11) + private static void CheckFunctionValues(string name, MathFcn4 fcn, double[,] pairs, double assertTolerance = defaultAssertTolerance) { CheckFunctionValues(name, (Delegate)fcn, pairs, assertTolerance); } diff --git a/test/Tests/Data/SpecialFunctionsValues/NormalCdfLn2.csv b/test/Tests/Data/SpecialFunctionsValues/NormalCdfLn2.csv index 01f00892a..c8e0ef152 100644 --- a/test/Tests/Data/SpecialFunctionsValues/NormalCdfLn2.csv +++ b/test/Tests/Data/SpecialFunctionsValues/NormalCdfLn2.csv @@ -1,7 +1,7 @@ arg0,arg1,arg2,expectedresult -Infinity,Infinity,0.5,-Infinity -9945842.62906782515347003936767578125,9945822.06800303049385547637939453125,-0.9891958110248051383450729190371930599212646484375,-49459892801285.500323383881351469927253362271460929 --312498.3686245033168233931064605712890625,312498.2982211210182867944240570068359375,-0.9999893339082690513208717675297521054744720458984375,-48827615315.319765922897082624700306671686794709198 +-312498.3686245033168233931064605712890625,312498.2982211210182867944240570068359375,-0.9999893339082690513208717675297521054744720458984375,-48827615210.059272573857776712857226747641701183369 -63,63,-0.46374946374946379723525069493916817009449005126953125,-1989.5623250537256917339818749521250583973045698991 -20,-21,0.5,-287.59599647372995645990323264954196323654372871123 -20,21,-1,-203.91715537228815923684690020322401045645572501133 From a9baee6d52d39cbb16517be4caa46da438c147bb Mon Sep 17 00:00:00 2001 From: Tom Minka <8955276+tminka@users.noreply.github.com> Date: Fri, 15 May 2020 18:14:33 +0100 Subject: [PATCH 3/3] Finish converting ComputeSpecialFunctionsTestValues --- .../ComputeSpecialFunctionsTestValues.py | 28 ++--- test/TestApp/Program.cs | 2 - .../GammaUpperRegularized.csv | 2 +- .../SpecialFunctionsValues/NormalCdf2.csv | 4 +- .../NormalCdfIntegral.csv | 18 ++-- .../SpecialFunctionsValues/NormalCdfLogit.csv | 2 +- .../NormalCdfMomentRatio.csv | 100 +++++++++--------- .../SpecialFunctionsValues/Tetragamma.csv | 4 +- .../Data/SpecialFunctionsValues/Trigamma.csv | 4 +- .../logisticGaussian.csv | 60 +++++------ .../logisticGaussianDeriv.csv | 36 +++---- .../logisticGaussianDeriv2.csv | 44 ++++---- 12 files changed, 151 insertions(+), 153 deletions(-) diff --git a/src/Tools/PythonScripts/ComputeSpecialFunctionsTestValues.py b/src/Tools/PythonScripts/ComputeSpecialFunctionsTestValues.py index a5fcff412..b0430e49b 100644 --- a/src/Tools/PythonScripts/ComputeSpecialFunctionsTestValues.py +++ b/src/Tools/PythonScripts/ComputeSpecialFunctionsTestValues.py @@ -132,7 +132,7 @@ def logistic_gaussian(m, v): if v == inf: return mpf('0.5') logEpsilon = log(eps) - if 2*mmpf + 4*vmpf < logEpsilon: + if 2*m + 4*v < logEpsilon: return mpf(exp(m + v/2) * (1 - exp(m + 1.5 * v) * (1 - exp(m + 2.5 * v)))) tanhm = tanh(m) # Not really a precise threshold, but fine for our data @@ -153,19 +153,19 @@ def f(t): x = scale*atanh(t) return exp(-(x - misqrtv) ** 2 / 2) / (1 + exp(-x*sqrtv)) / (1 - t * t) coef = scale / sqrt(2 * pi) - points = [-1, 1] + points = [-1, 0, 1] int, err = safe_quad(f, points) result = coef * int if mpf(10)**output_dps * abs(err) > abs(int): - print(f"Suspiciously big error when evaluating an integral for logistic_gaussian({m}, {v}).") - print(f"Integral: {int}") - print(f"integral error estimate: {err}") - print(f"Coefficient: {coef}") - print(f"Result (Coefficient * Integral): {result}") + print(f"Suspiciously big error when evaluating an integral for logistic_gaussian({nstr(m)}, {nstr(v)}).") + print(f"Integral: {nstr(int)}") + print(f"integral error estimate: {nstr(err)}") + print(f"Coefficient: {nstr(coef)}") + print(f"Result (Coefficient * Integral): {nstr(result)}") return result def logistic_gaussian_deriv(m, v): - if m.is_infinite or v.is_infinite: + if m == inf or m == -inf or v == inf: return mpf('0.0') # The integration routine below is obtained by substituting x = atanh(t) # into the definition of logistic_gaussian' @@ -189,7 +189,7 @@ def f(t): return result def logistic_gaussian_deriv2(m, v): - if m.is_infinite or v.is_infinite: + if m == inf or m == -inf or v == inf: return mpf(0) # The integration routine below is obtained by substituting x = atanh(t) # into the definition of logistic_gaussian'' @@ -317,7 +317,7 @@ def beta_cdf(x, a, b): 'NormalCdfLn2.csv': normal_cdf2_ln, 'NormalCdfLogit.csv': lambda x: log(ncdf(x)) - log(ncdf(-x)), 'NormalCdfMomentRatio.csv': normal_cdf_moment_ratio, - 'NormalCdfRatioLn2.csv': normal_cdf2_ratio_ln, + #'NormalCdfRatioLn2.csv': normal_cdf2_ratio_ln, 'Tetragamma.csv': lambda x: polygamma(2, x), 'Trigamma.csv': lambda x: polygamma(1, x), 'ulp.csv': None @@ -332,7 +332,7 @@ def float_str_python_to_csharp(s): dir = os.path.join(os.path.dirname(os.path.realpath(__file__)), '..', '..', '..', 'test', 'Tests', 'data', 'SpecialFunctionsValues') with os.scandir(dir) as it: for entry in it: - if entry.name.endswith('.csv') and entry.is_file(): + if entry.name.endswith('.csv') and entry.is_file() and entry.name == 'logisticGaussian.csv': print(f'Processing {entry.name}...') if entry.name not in pair_info.keys() or pair_info[entry.name] == None: print("Don't know how to process. Skipping.") @@ -350,7 +350,7 @@ def float_str_python_to_csharp(s): args.append(mpf(float_str_csharp_to_python(row[f'arg{i}']))) result_in_file = row['expectedresult'] verbose = True - if result_in_file == 'Infinity' or result_in_file == '-Infinity' or result_in_file == 'NaN': + if result_in_file == 'Infinity' or result_in_file == '-Infinity' or result_in_file == 'NaN' or len(newrows) != 127: newrow['expectedresult'] = result_in_file else: try: @@ -361,11 +361,11 @@ def float_str_python_to_csharp(s): if verbose: elapsed = time.time() - startTime print(f'({elapsed} seconds elapsed)') - nprint(result, 50) + nprint(result, output_dps) except ValueError: print(f'ValueError for args {args}. Setting result to NaN.') result = mpf('nan') - newrow['expectedresult'] = float_str_python_to_csharp(nstr(result, 50)) + newrow['expectedresult'] = float_str_python_to_csharp(nstr(result, output_dps)) newrows.append(newrow) with open(entry.path, 'w', newline='') as csvfile: diff --git a/test/TestApp/Program.cs b/test/TestApp/Program.cs index 1a1dcc189..c545039c4 100644 --- a/test/TestApp/Program.cs +++ b/test/TestApp/Program.cs @@ -81,8 +81,6 @@ private static void Main() Stopwatch watch = new Stopwatch(); watch.Start(); - new SpecialFunctionsTests().NormalCdf2Test(); - if (false) { // Run all tests (need to run in 64-bit else OutOfMemory due to loading many DLLs) diff --git a/test/Tests/Data/SpecialFunctionsValues/GammaUpperRegularized.csv b/test/Tests/Data/SpecialFunctionsValues/GammaUpperRegularized.csv index bce09281a..cc90cb411 100644 --- a/test/Tests/Data/SpecialFunctionsValues/GammaUpperRegularized.csv +++ b/test/Tests/Data/SpecialFunctionsValues/GammaUpperRegularized.csv @@ -19,7 +19,7 @@ arg0,arg1,expectedresult 0.9499999999999999555910790149937383830547332763671875,0.6999999999999999555910790149937383830547332763671875,0.47214915608045378151148465677485943166921150976411 1,1,0.36787944117144232159552377016146086744581113103177 4.5,0,1.0 -4.5,1000000000000000019884624838656,0.0 +4.5,1000000000000000019884624838656,4.8897678840871139075639319869880198139200442601822e-434294481903251836286911760958 4.5,Infinity,0.0 5,3,0.81526324452377206628673205626976159234408082208543 10,3,0.99889751186988452025786019827905194883117994291612 diff --git a/test/Tests/Data/SpecialFunctionsValues/NormalCdf2.csv b/test/Tests/Data/SpecialFunctionsValues/NormalCdf2.csv index 09090334f..e3fa68da0 100644 --- a/test/Tests/Data/SpecialFunctionsValues/NormalCdf2.csv +++ b/test/Tests/Data/SpecialFunctionsValues/NormalCdf2.csv @@ -1,7 +1,7 @@ arg0,arg1,arg2,expectedresult -Infinity,Infinity,0.5,0.0 --9945842.62906782515347003936767578125,9945822.06800303049385547637939453125,-0.9891958110248051383450729190371930599212646484375,0.0 --312498.3686245033168233931064605712890625,312498.2982211210182867944240570068359375,-0.9999893339082690513208717675297521054744720458984375,0.0 +-9945842.62906782515347003936767578125,9945822.06800303049385547637939453125,-0.9891958110248051383450729190371930599212646484375,2.1824084807108065974194371633125392090937646419635e-21480158519125 +-312498.3686245033168233931064605712890625,312498.2982211210182867944240570068359375,-0.9999893339082690513208717675297521054744720458984375,5.9699344138937029402279415337502141303122787730984e-21205563851 -20,21,-1,2.7536241153269556760965868411217846517700386504614e-89 -17.162326606420659658169824979268014430999755859375,13.435028842544401328495951020158827304840087890625,-0.6741998624632419279123496380634605884552001953125,2.5244995486068926489660287251956119723030007308959e-66 -16,-16.800000000000000710542735760100185871124267578125,0.5,1.4825868257615674418050592934772140800277688201472e-81 diff --git a/test/Tests/Data/SpecialFunctionsValues/NormalCdfIntegral.csv b/test/Tests/Data/SpecialFunctionsValues/NormalCdfIntegral.csv index 14c758340..004188bc5 100644 --- a/test/Tests/Data/SpecialFunctionsValues/NormalCdfIntegral.csv +++ b/test/Tests/Data/SpecialFunctionsValues/NormalCdfIntegral.csv @@ -1,14 +1,14 @@ arg0,arg1,arg2,expectedresult -Infinity,0.87287156094396955996472797778551466763019561767578125,-0.87287156094396955996472797778551466763019561767578125,0.0 --10817763542316709663881367126016,790.8036889243788891690201126039028167724609375,-0.9458744064347397451086862929514609277248382568359375,0.0 --10799999999999999426624013467648,790.8036889243788891690201126039028167724609375,-0.9458744064347397451086862929514609277248382568359375,0.0 --2499147.0063773919828236103057861328125,2499147.2739186179824173450469970703125,-1,0.0 --1001,Infinity,0,0.0 --10,-100000000000,-0.1000000000000000055511151231257827021181583404541015625,0.0 +-10817763542316709663881367126016,790.8036889243788891690201126039028167724609375,-0.9458744064347397451086862929514609277248382568359375,1.0771464190042595200830024137403584945552595814542e-241274712168473563283430337384062585480209836180741233620301156 +-10799999999999999426624013467648,790.8036889243788891690201126039028167724609375,-0.9458744064347397451086862929514609277248382568359375,3.7330370358510801805534740835709770433294008196192e-240482982034836965918406433675001949175831197013296290130653475 +-2499147.0063773919828236103057861328125,2499147.2739186179824173450469970703125,-1,5.1565199995136399051609801963526970723635700716894e-1356244287899 +-1001,Infinity,0,7.0381714243543579371266777452819031218813273551428e-217589 +-10,-100000000000,-0.1000000000000000055511151231257827021181583404541015625,4.6863355651492580334871248194610359742218915357272e-2193406474302715746399 -8,8.4000000000000003552713678800500929355621337890625,-1,6.3985926111712448662784585920222555748880845814881e-17 -2,-2,1,0.0084907026168296375499989260776467067962620930435014 -1.1999999999999999555910790149937383830547332763671875,Infinity,-1,0.056102450717163023895546783332124702345749516675513 --1,-8.9473684210526318594247641158290207386016845703125,-0.99999999999999900079927783735911361873149871826171875,0.0 +-1,-8.9473684210526318594247641158290207386016845703125,-0.99999999999999900079927783735911361873149871826171875,3.5723438295843314030493475512296639187680361495608e-10751968594184623 -0.94102098773740083803573952536680735647678375244140625,-1.2461486442846207989276763328234665095806121826171875,0.52400769210337749814954122484778054058551788330078125,0.035369263379357935872611137585587774207211039425496 -0.5,0.1000000000000000055511151231257827021181583404541015625,-1,0.0 -0.5,0.1000000000000000055511151231257827021181583404541015625,-0.9999000000000000110134124042815528810024261474609375,2.5563333094768766908683101338637482012394291162077e-183 @@ -27,7 +27,7 @@ arg0,arg1,arg2,expectedresult -0.131708886878210418291956784742069430649280548095703125e-1,0.1317089163114303941581884060951779247261583805084228515625e-1,-1,1.7278974097756909852495345992137112070986259181062e-18 0.10000000000000000209225608301284726753266340892878361046314239501953125e-7,0.10000000000000000209225608301284726753266340892878361046314239501953125e-7,-0.99999999999999900079927783735911361873149871826171875,-1.2421728389599247455192143081930524057263076307815e-17 0.4399369921450298428899572324331235240180149048683233559131622314453125e-7,0.2116254914300797548402274287867620705672067060731933452188968658447265625e-8,-1,4.2410115039362484615337539997906691831534267627033e-16 -0.21034851174404435580900241120616556145250797271728515625e-1,-0.379612420875336142866984801003127358853816986083984375,-0.9999999973176390000162427895702421665191650390625,0.0 +0.21034851174404435580900241120616556145250797271728515625e-1,-0.379612420875336142866984801003127358853816986083984375,-0.9999999973176390000162427895702421665191650390625,8.3647265404860337202579567995051240024926245270861e-5204453 0.1000000000000000055511151231257827021181583404541015625,-0.5,-1,0.0 0.1000000000000000055511151231257827021181583404541015625,-0.5,-0.9999000000000000110134124042815528810024261474609375,2.5567149109305967067404871611047627957146392810282e-183 0.1000000000000000055511151231257827021181583404541015625,-0.5,0.9999000000000000110134124042815528810024261474609375,0.3828838741042217430533005466687309861249930882603 @@ -48,8 +48,8 @@ arg0,arg1,arg2,expectedresult 19.0734841971814290673137293197214603424072265625,-19.073488459566977581971514155156910419464111328125,-0.999999999999960476060323344427160918712615966796875,4.3734963051465446941807859524719604114361141019308e-147 50,0.5,-1,34.221057736936355704110550088820369341069793597353 54.1440286296494406315105152316391468048095703125,16.352706352205796491716682794503867626190185546875,-1,54.1440286296494406315105152316391468048095703125 -790.8036889243788891690201126039028167724609375,-108177636171.168060302734375,-0.9458744064347397451086862929514609277248382568359375,0.0 -1003,-1001,0,0.0 +790.8036889243788891690201126039028167724609375,-108177636171.168060302734375,-0.9458744064347397451086862929514609277248382568359375,2.4034820090508533550889758556919728746024036926573e-24127471216847353696827 +1003,-1001,0,7.0663593289912296697588746095339734028797835270141e-217583 Infinity,-57.97719538933819904968913760967552661895751953125,-1,Infinity Infinity,-0.4022557909834032496831923708668909966945648193359375,-0.46974188418762830021790932732983492314815521240234375,Infinity Infinity,1,-0.5,Infinity diff --git a/test/Tests/Data/SpecialFunctionsValues/NormalCdfLogit.csv b/test/Tests/Data/SpecialFunctionsValues/NormalCdfLogit.csv index 040610afa..0dcfd5d1a 100644 --- a/test/Tests/Data/SpecialFunctionsValues/NormalCdfLogit.csv +++ b/test/Tests/Data/SpecialFunctionsValues/NormalCdfLogit.csv @@ -5,7 +5,7 @@ arg0,expectedresult 0,0.0 10,53.231285150512470578347019734278185718389949856214 11,63.824934094423715501980637571789457399572494863149 -12,75.410673001568795938839683268124096748532262672790 +12,75.41067300156879593883968326812409674853226267279 13,87.989719971022519666177752401964583071572979526198 14,101.56303440744995824411834384282371147034206108036 Infinity,Infinity diff --git a/test/Tests/Data/SpecialFunctionsValues/NormalCdfMomentRatio.csv b/test/Tests/Data/SpecialFunctionsValues/NormalCdfMomentRatio.csv index 72d8ca07a..da29f1418 100644 --- a/test/Tests/Data/SpecialFunctionsValues/NormalCdfMomentRatio.csv +++ b/test/Tests/Data/SpecialFunctionsValues/NormalCdfMomentRatio.csv @@ -22,16 +22,16 @@ arg0,arg1,expectedresult 0,-5.25,0.18420767730797019449170910692594698372778676425471 0,-5,0.19280810471531576487746572791751625149030275528504 0,-4.75,0.20222323663305465235351091134530272114334229209857 -0,-4.5,0.21257058044203179022566000525169692236891459177240 +0,-4.5,0.2125705804420317902256600052516969223689145917724 0,-4.25,0.22399059465382880832049825313033776386369162770833 0,-4,0.23665238291356067062398593643584354772280595719945 -0,-3.75,0.25076111144396502663009459636190092615819832610582 +0,-3.75,0.25076111144396502663009459636190092615819832610581 0,-3.5,0.26656776896822375715239353777951262769466222847779 0,-3.25,0.28438214674849292468286388367953796527007942996358 0,-3,0.30459029871010329573361254651572220194332086785732 0,-2.75,0.32767831469055205416127417970851033513174859525133 0,-2.5,0.35426511132979366678398142582809196225814650713356 -0,-2.25,0.38514829079843462363931066114891629883607744406190 +0,-2.25,0.3851482907984346236393106611489162988360774440619 0,-2,0.42136922928805447322493433354238497871759897424685 0,-1.75,0.46430692803944216443726086425619828047208484967307 0,-1.5,0.51581563821796335502651253416783534304011181326483 @@ -40,7 +40,7 @@ arg0,arg1,expectedresult 0,-0.75,0.75257117906340805145547335790955475224491739299361 0,-0.5,0.87636445645369234672785314263984886086010979753458 0,-0.25,1.0378245758537268123003647061339625722563679287927 -0,0,1.2533141373155002512078826424055226265034933703050 +0,0,1.253314137315500251207882642405522626503493370305 0,0.25,1.5483726215476581807997061313890659321099981899302 0,0.5,1.9640174953579937536798330327319918080905495245058 0,0.75,2.5681717549665745319333517550350836147022153831005 @@ -49,7 +49,7 @@ arg0,arg1,expectedresult 0,1.5,7.2051430072747784513343923406741126335318982557609 0,1.75,11.126224785293279658754784248383023552208104146822 0,2,18.100247711126152662358894822266456462137655901813 -0,2.25,31.121183447732186784420349807840803519444283302400 +0,2.25,31.1211834477321867844203498078408035194442833024 0,2.5,56.696331457739682310111151511248441175203079093467 0,2.75,109.64022478434629551324166570127686445161096953309 0,3,225.33489622034912057939728274147295862282025121256 @@ -70,19 +70,19 @@ arg0,arg1,expectedresult 0,6.75,19627324377.067817464110145377930440213466614913396 0,7,109472425569.04400328592529897802313058240051199353 0,7.25,649967717491.12913755741720790049923533037242798784 -0,7.5,4107922463093.5283638228870696022937731249980510640 +0,7.5,4107922463093.528363822887069602293773124998051064 0,7.75,27637330612839.575534411145203043436830599071970169 0,8,197930788642469.18002002682307963954591711526646993 0,8.25,1508947123315432.1778222098657771518841164558677543 0,8.5,12245544276507173.247284775689709682214082968321479 0,8.75,105785360289376833.22034338268932444166069927976992 -0,9,972784072555841934.51733163698241268687581176139420 -0,9.25,9522494666841840635.6280599847554813890089646438440 +0,9,972784072555841934.5173316369824126868758117613942 +0,9.25,9522494666841840635.628059984755481389008964643844 0,9.5,99226673011378010523.203140008135614708647357244925 0,9.75,1100650732980874354123.7039556623811150013093610423 -0,10,12996129473592022902784.599725627820482685031656110 +0,10,12996129473592022902784.59972562782048268503165611 1,-10,0.0097140352826807860466281140468942165447764819510739 -1,-9.75,0.010203706460997639070826944715594109656240862847810 +1,-9.75,0.01020370646099763907082694471559410965624086284781 1,-9.5,0.010730974993816612570818308900641836515487184366845 1,-9.25,0.011299750026260954455195183792134867432993322587299 1,-9,0.011914456795225378924259502495123037753305481106848 @@ -104,14 +104,14 @@ arg0,arg1,expectedresult 1,-5,0.035959476423421175612671360412418742548486223574818 1,-4.75,0.039439625992990401320823171109812074569124112531812 1,-4.5,0.043432388010856943984529976367363849339884337024184 -1,-4.25,0.048039972721227564637882424196064503579310582239590 +1,-4.25,0.04803997272122756463788242419606450357931058223959 1,-4,0.053390468345757317504056254256625809108776171202204 1,-3.75,0.059645832085131150137145263642871526906756277103194 1,-3.5,0.067012808611216849966622617771705803068682200327729 1,-3.25,0.075758023067397994780692378041501612872241852618379 1,-3,0.086229103869690112799162360452833394170037396428049 1,-2.75,0.098884634600981851056496005801596578387691363058848 -1,-2.5,0.11433722167551583304004643542977009435463373216610 +1,-2.5,0.1143372216755158330400464354297700943546337321661 1,-2.25,0.13341634570352209681155101241493832761882575086073 1,-2,0.15726154142389105355013133291523004256480205150629 1,-1.75,0.18746287593097621223479348755165300917385151307212 @@ -121,7 +121,7 @@ arg0,arg1,expectedresult 1,-0.75,0.43557161570244396140839498156783393581631195525479 1,-0.5,0.56181777177315382663607342868007556956994510123271 1,-0.25,0.74054385603656829692490882346650935693590801780182 -1,0,1.0000000000000000000000000000000000000000000000000 +1,0,1.0 1,0.25,1.3870931553869145451999265328472664830274995474826 1,0.5,1.9820087476789968768399165163659959040452747622529 1,0.75,2.9261288162249308989500138162763127110266615373254 @@ -132,9 +132,9 @@ arg0,arg1,expectedresult 1,2,37.200495422252305324717789644532912924275311803626 1,2.25,71.022662757397420264945787067641807918749637430399 1,2.5,142.74082864434920577527787877812110293800769773367 -1,2.75,302.51061815695231266141458067851137724193016621600 +1,2.75,302.510618156952312661414580678511377241930166216 1,3,677.00468866104736173819184822441887586846075363768 -1,3.25,1601.8120935956511504951214146317118471965606358700 +1,3.25,1601.81209359565115049512141463171184719656063587 1,3.5,4010.6885363813614430702247050403714816001912543084 1,3.75,10635.470649226242558058244477283504386463770274546 1,4,29888.667693691976552522091814712638695617643567125 @@ -149,9 +149,9 @@ arg0,arg1,expectedresult 1,6.25,4756462216.1655801945295925951113411038716856342165 1,6.5,24348612664.966231877313485184978413650182738469161 1,6.75,132484439546.20776788274348130103047144089965066542 -1,7,766306978984.30802300147709284616191407680358395470 -1,7.25,4712265951811.6862472912747572786194561452001029119 -1,7.5,30809418473202.462728671653022017203298437485382980 +1,7,766306978984.3080230014770928461619140768035839547 +1,7.25,4712265951811.6862472912747572786194561452001029118 +1,7.5,30809418473202.46272867165302201720329843748538298 1,7.75,214189312249507.71039168637532358663543714280776881 1,8,1583446309139754.4401602145846371163673369221317595 1,8.25,12448813767352316.467033231392661503043960760908973 @@ -161,10 +161,10 @@ arg0,arg1,expectedresult 1,9.25,88083075668287025880.559554858988202848332922955557 1,9.5,942653393608091099971.42983007728833973214989382679 1,9.75,10731344646563524952707.113567708215871262766270162 -1,10,129961294735920229027846.99725627820482685031656110 +1,10,129961294735920229027846.9972562782048268503165611 2,-10,0.00094412182246203046452802406318420644887876614707677 2,-9.75,0.0010157152866879126542916217055508123665313903939597 -2,-9.5,0.0010946595691702159427804901482332851558839171855480 +2,-9.5,0.001094659569170215942780490148233285155883917185548 2,-9.25,0.0011819128838803313498468596212608398827846223533453 2,-9,0.0012785857106399404561511552999950502349416971799125 2,-8.75,0.0013859694764950413296015761489913432761484377559909 @@ -185,17 +185,17 @@ arg0,arg1,expectedresult 2,-5,0.0065053612991049434070544629277112693739358187054744 2,-4.75,0.0074425065831751230398004242868476834700013787862299 2,-4.5,0.0085624171965877711476375557992798001697175375817882 -2,-4.25,0.0099103552943058293047489751485318118258108265950380 +2,-4.25,0.009910355294305829304748975148531811825810826595038 2,-4,0.011545254765265700303880459704670155643850636195317 2,-3.75,0.013544620562361606807899928850566350128931143484418 -2,-3.5,0.016011469414482391134607187789271158477137263665370 +2,-3.5,0.01601146941448239113460718778927115847713726366537 2,-3.25,0.019084285889724720822806827522328861717646704476922 2,-3,0.022951493550516478668062732578611009716604339286584 2,-2.75,0.027872784768925981877955081877059872282798673419748 2,-2.5,0.034211028570502042091932668626833363185781088359157 2,-2.25,0.042480756482754952906660441607652530846859752312632 2,-2,0.053423073220136183062335833855962446793997435617132 -2,-1.75,0.068123447580116896513186130520402757208922350898430 +2,-1.75,0.06812344758011689651318613052040275720892235089843 2,-1.5,0.088200412104190451918082868022732432440181696555346 2,-1.25,0.11611388087352731693681600344646599603824895072853 2,-1,0.15567954241879847154387123073081128339928233287046 @@ -229,15 +229,15 @@ arg0,arg1,expectedresult 2,6,3044825000.2900964233337995300016265185689274750426 2,6.25,15244461402.730684523467344267331848237908752457664 2,6.5,81005961366.060732976446787250024337720800264522401 -2,6.75,456948645656.98512533631432207994306121976962845250 +2,6.75,456948645656.9851253363143220799430612197696284525 2,7,2736810639229.6000821481324744505782645600127998382 2,7.25,17406947934062.927215209579599085245146191536587049 2,7.5,117589280506055.99941443014236736565925570306921171 2,7.75,843802250273262.16553499027698041993073422791608921 2,8,6432750630880252.3506508717500882852423062461602728 -2,8.25,52105830351986021.515423184427617275998396366683390 +2,8.25,52105830351986021.51542318442761727599839636668339 2,8.5,448493059127075224.43180490963561711109078871477418 -2,8.75,4102488503722395317.7014418099203635031539939435770 +2,8.75,4102488503722395317.701441809920363503153993943577 2,9,39884146974789519319.710597116278920161908282217162 2,9.25,412145472299248415015.40197121519817886804425099137 2,9.5,4527216956144121730125.8932628711874210820356742997 @@ -247,7 +247,7 @@ arg0,arg1,expectedresult 8,-0.99999999999999988897769753748434595763683319091796875,0.00022170561527683617845452419563160780726884789228207 10,-10,0.0000000000055349853752756567063052255296331348461094736759422 10,-9.75,0.0000000000071133469504716237538263542713977032961644664900805 -10,-9.5,0.0000000000091904944677988853869754153660632627021747368635165 +10,-9.5,0.0000000000091904944677988853869754153660632627021747368635166 10,-9.25,0.000000000011939923689379312317433429235445381458753048138957 10,-9,0.000000000015601173868858248781717267400753431210178280381913 10,-8.75,0.000000000020507205289786806337023268247375986181958969690955 @@ -260,14 +260,14 @@ arg0,arg1,expectedresult 10,-7,0.00000000016805366853699471016425667360691627867402459813686 10,-6.75,0.00000000023404380723754429187376001184454873840344177818506 10,-6.5,0.00000000032880386403721251614065111314971190229137077991804 -10,-6.25,0.00000000046616637007978265137853837958618532482221502493810 +10,-6.25,0.0000000004661663700797826513785383795861853248222150249381 10,-6,0.00000000066725663787091103848513775946041097163040299852377 10,-5.75,0.00000000096468837425214652939244300115376197637350197903374 10,-5.5,0.0000000014093821749310927293721480917348608060553980932904 10,-5.25,0.0000000020817821086587982585290325399613170702813252827548 10,-5,0.0000000031105422086108981627517042500226294121201222018919 -10,-4.75,0.0000000047040704163178008320127045256924088771161555563070 -10,-4.5,0.0000000072045121763230866647744907726347731016223274522750 +10,-4.75,0.000000004704070416317800832012704525692408877116155556307 +10,-4.5,0.000000007204512176323086664774490772634773101622327452275 10,-4.25,0.000000011181466159019332403267898689526182342175641893228 10,-4,0.000000017597114391635445484470386201121343062771690484524 10,-3.75,0.000000028101732897669635884468092186471924241460806713484 @@ -278,9 +278,9 @@ arg0,arg1,expectedresult 10,-2.5,0.00000037330472625603925536579235449007067590854830759424 10,-2.25,0.00000066170313463547041062278995966936530936959144877751 10,-2,0.0000011972135204745767880403626734657035231735341037823 -10,-1.75,0.0000022131983929765626964699658510182995451507818904400 +10,-1.75,0.00000221319839297656269646996585101829954515078189044 10,-1.5,0.0000041846239212969453928615227709390688015676456342002 -10,-1.25,0.0000081010538820054149825103559347604138212923869767740 +10,-1.25,0.000008101053882005414982510355934760413821292386976774 10,-1,0.000016074993058010991451885253257215593904206633856346 10,-0.75,0.000032731935273563827444858928753635177272606198221452 10,-0.5,0.000068470318467944106370425965394172775371944039101999 @@ -302,25 +302,25 @@ arg0,arg1,expectedresult 10,3.5,940.64596110282072332602916295903600070782865558901 10,3.75,3713.9726909350839199526876576680329016661937141055 10,4,15363.382374230239596252906071062098871340760608823 -10,4.25,66637.429345706898090844174486289578902601675474300 +10,4.25,66637.4293457068980908441744862895789026016754743 10,4.5,303293.43000396883231313958416333579569415661748754 10,4.75,1449552.9146187192464335017388839136164167846083806 10,5,7279937.6085248109445904617127608609230289014792677 10,5.25,38443576.685876598109095561901878964322312066209507 10,5.5,213592955.66956242110917373064651119948044617974033 10,5.75,1249299671.9670725237090716870453251335063452527366 -10,6,7696587499.1245653794793007521380628110047872155090 -10,6.25,49969324176.544685710690305526318570231323764353740 +10,6,7696587499.124565379479300752138062811004787215509 +10,6.25,49969324176.54468571069030552631857023132376435374 10,6.5,342051414366.80541702942336295602321763034952058465 -10,6.75,2469783014602.1883883158053854117058436126196123170 +10,6.75,2469783014602.188388315805385411705843612619612317 10,7,18818764401060.002866037039047183674422147466927393 10,7.25,151378059655860.65785075367682359637234711614159431 -10,7.5,1285993518539203.2853884846701715078553345665035838 +10,7.5,1285993518539203.2853884846701715078553345665035839 10,7.75,11541801939039406.814581274614324491811218425141803 -10,8,109474631705903849.61072473436374635969446048348590 +10,8,109474631705903849.6107247343637463596944604834859 10,8.25,1097731380431791986.0767978778419331569077315038527 10,8.5,11639952452423066233.433239515934241908140516559397 -10,8.75,130557358958262754726.53713048018659086622039503950 +10,8.75,130557358958262754726.5371304801865908662203950395 10,9,1549394941009469970830.3067170379758482649171459606 10,9.25,19459994117446712994751.523427096637376431184620117 10,9.5,258729654623301772155008.50936204635878350246420923 @@ -342,7 +342,7 @@ arg0,arg1,expectedresult 20,-6.75,1.0235298778109086903162562157045622194595817255933e-19 20,-6.5,1.8298814475962580571521987246562786726844378383065e-19 20,-6.25,3.3141377982100761758316114519355036217880727442928e-19 -20,-6,6.0833607186308383911746853067972126521501822615211e-19 +20,-6,6.0833607186308383911746853067972126521501822615212e-19 20,-5.75,1.1322700640724780688105601594352127251753652327735e-18 20,-5.5,2.1379916372424741197345878825807709706103319115262e-18 20,-5.25,4.0976585981247782646297500371507291455236210324106e-18 @@ -355,12 +355,12 @@ arg0,arg1,expectedresult 20,-3.5,6.1963043849111600432274049435927946605954535108028e-16 20,-3.25,0.0000000000000013663147088534751552226164697720375505821124818518 20,-3,0.0000000000000030750125304228439092249787219806628048622292933042 -20,-2.75,0.0000000000000070685633077790830036919331101272862967265105415600 +20,-2.75,0.00000000000000706856330777908300369193311012728629672651054156 20,-2.5,0.000000000000016608161240390556582339973359257713835135497541399 20,-2.25,0.000000000000039915710439384570183922697487146259885971101759159 20,-2,0.000000000000098204466990388378849634342226420314063591626671234 20,-1.75,0.00000000000024752770171475187381535617443503592598427426827963 -20,-1.5,0.00000000000063968792966718476103226727446337185240116453979610 +20,-1.5,0.0000000000006396879296671847610322672744633718524011645397961 20,-1.25,0.0000000000016963552303756164657040809208235594673502680767481 20,-1,0.0000000000046198469603138210579261707197315943249764481739056 20,-0.75,0.000000000012931920324912335244239331576809572954987293422997 @@ -371,16 +371,16 @@ arg0,arg1,expectedresult 20,0.5,0.0000000034564557779848723161151412211314327217631315838749 20,0.75,0.000000011614316644874604588542180884078354423865527750798 20,1,0.000000040353839191507714916197851358450623177201499438709 -20,1.25,0.00000014510291890812669006501093399770305925769791171360 +20,1.25,0.0000001451029189081266900650109339977030592576979117136 20,1.5,0.00000054042627974372386592049543914654715038220171595489 20,1.75,0.0000020865619978147178600261005945984060219713853196803 20,2,0.0000083583770894196213670508951865973656953931914229049 20,2.25,0.000034766811045781433248183203829057342742547444669581 20,2.5,0.00015028332399788773594634042387213376354402974341058 20,2.75,0.00067562291113545627435968049615283021552036089471471 -20,3,0.0031614289344216264325409053772919795264588830451340 +20,3,0.003161428934421626432540905377291979526458883045134 20,3.25,0.015409144710204909658923223075836315817633463620215 -20,3.5,0.078291133210637990826889141990132013744878296031496 +20,3.5,0.078291133210637990826889141990132013744878296031495 20,3.75,0.41495440362964620948109014586617515304804857107335 20,4,2.2958757428918615163538032480914094213609154019308 20,4.25,13.269495918397758670870374433966383551942909190424 @@ -392,7 +392,7 @@ arg0,arg1,expectedresult 20,5.75,1282241.3490357018647416722408951371372021406385154 20,6,10237030.384803332441345607536627271721476922016467 20,6.25,85782417.869808404094203767785956238980366527552698 -20,6.5,754850341.49371348852248108744002111976135306710338 +20,6.5,754850341.49371348852248108744002111976135306710339 20,6.75,6978652446.9592930858716266794013655245920861199578 20,7,67815995249.677264852724680961826708238123945106133 20,7.25,693004971848.57031613483382885172965991901628883652 @@ -405,23 +405,23 @@ arg0,arg1,expectedresult 20,9,34112191111084497873.610778349040213384256194069317 20,9.25,528647548478817820092.11203705445149824717612482589 20,9.5,8643573472067710542792.2658771653999685494992608061 -20,9.75,149148447020480269547938.03330144486352600246522820 +20,9.75,149148447020480269547938.0333014448635260024652282 20,10,2716845737678019200703993.6402145784174369459079073 30,-1.5,1.2573311092999626473276435065680710417653962084853e-20 40,-1.5,6.0068589988953669732756249738769956846761034277725e-29 50,-1.5,9.6983482284485738006313237462996108607554165994653e-38 -50,-1.100000000000000088817841970012523233890533447265625,1.3003343527847059602555995171711590836610177008080e-36 +50,-1.100000000000000088817841970012523233890533447265625,1.300334352784705960255599517171159083661017700808e-36 58,-1.1376222417480599258254869710071943700313568115234375,6.0139816493651414638830063239840782468912348511394e-44 60,-1.5,6.4838386728943700563469756682107878758892299135067e-47 60,-1.100000000000000088817841970012523233890533447265625,1.1359397286250865793304268522002623646235236950009e-45 61,-1.600000000000000088817841970012523233890533447265625,3.6901170564963584726584856919530274957131082996191e-48 -61,-1.1599999999999999200639422269887290894985198974609375,8.7125113292075856352956478355204157896757034219527e-47 +61,-1.1599999999999999200639422269887290894985198974609375,8.7125113292075856352956478355204157896757034219526e-47 64,-3,3.1188451418166046979115764065651876750910962445608e-55 64,-2,3.0455380488507922774117461518998872651847467019727e-52 65,-3,3.2031929005012408554759751156386733572231521635027e-56 149,-2,1.0385498303656762057466752598420825758066921271348e-141 149,-1.0388876402469786608406820960226468741893768310546875,6.5111049636668074121498177802363284962803121856729e-137 -269,-7.497458866732330307058873586356639862060546875,2.6800591243805934381443596729527487989667587431430e-318 +269,-7.497458866732330307058873586356639862060546875,2.680059124380593438144359672952748798966758743143e-318 300,-3,3.5436453302222561818391009957031827602897787823406e-330 300,-2.5,1.0646599597404299218231925672875347942566497519537e-326 300,-2,3.5917801918326764727918609722991961048597167984364e-323 diff --git a/test/Tests/Data/SpecialFunctionsValues/Tetragamma.csv b/test/Tests/Data/SpecialFunctionsValues/Tetragamma.csv index a8d7cdca8..e23ca5aa5 100644 --- a/test/Tests/Data/SpecialFunctionsValues/Tetragamma.csv +++ b/test/Tests/Data/SpecialFunctionsValues/Tetragamma.csv @@ -2,7 +2,7 @@ arg0,expectedresult -Infinity,NaN 0,-Infinity 0.6999999999999999683236782781203810799297571065835654735565185546875e-6,-5830903790087464350.8336400030822010775961449925077 -0.69999999999999998949950195947788955663781962357461452484130859375e-5,-5830903790087466.2233227776876592714014090397134000 +0.69999999999999998949950195947788955663781962357461452484130859375e-5,-5830903790087466.2233227776876592714014090397134 0.6999999999999999386775251242198692125384695827960968017578125e-4,-5830903790089.8687485661995172709290008705932659981 0.699999999999999992887633748495090912911109626293182373046875e-3,-5830903792.4870378734874966362723514923583222636974 0.1000000000000000055511151231257827021181583404541015625,-2001.8614573783436732220508300293338821108040398935 @@ -11,7 +11,7 @@ arg0,expectedresult 8.5,-0.015564511795903923324200560537598331434924672111845 9,-0.013793319195767773909291677736213878517338959802475 9.5,-0.012307845807709337531405934036478852501482783245572 -10,-0.011049834970802067462103749066803727625706586688620 +10,-0.01104983497080206746210374906680372762570658668862 11.5,-0.0082474690506522171203129381375821707811015291070917 12,-0.0075472053689989119399399624402071836737907339463213 15.5,-0.0044395189132772440052733508422594978768196651876236 diff --git a/test/Tests/Data/SpecialFunctionsValues/Trigamma.csv b/test/Tests/Data/SpecialFunctionsValues/Trigamma.csv index c49f4857c..c916ed64a 100644 --- a/test/Tests/Data/SpecialFunctionsValues/Trigamma.csv +++ b/test/Tests/Data/SpecialFunctionsValues/Trigamma.csv @@ -1,6 +1,6 @@ arg0,expectedresult -Infinity,NaN --1.100000000000000088817841970012523233890533447265625,102.74898624046876156890172234121535507187352000900 +-1.100000000000000088817841970012523233890533447265625,102.748986240468761568901722341215355071873520009 -1,NaN -0.5,8.9348022005446793094172454999380755676568497036204 0,Infinity @@ -10,7 +10,7 @@ arg0,expectedresult 0.100000000000000004792173602385929598312941379845142364501953125e-3,100000001.64469367834879712175656822112461635653064 0.699999999999999992887633748495090912911109626293182373046875e-3,2040817.9697833890638814666549990566268591609279808 0.1000000000000000055511151231257827021181583404541015625,101.43329915079274770465203965087337125718822832658 -1.5,0.93480220054467930941724549993807556765684970362040 +1.5,0.9348022005446793094172454999380755676568497036204 2.5,0.49035775610023486497280105549363112321240525917595 3.5,0.33035775610023486497280105549363112321240525917595 9,0.11751201469403142513454668592040160645250999190975 diff --git a/test/Tests/Data/SpecialFunctionsValues/logisticGaussian.csv b/test/Tests/Data/SpecialFunctionsValues/logisticGaussian.csv index 9d76a80ff..33da381fb 100644 --- a/test/Tests/Data/SpecialFunctionsValues/logisticGaussian.csv +++ b/test/Tests/Data/SpecialFunctionsValues/logisticGaussian.csv @@ -5,31 +5,31 @@ arg0,arg1,expectedresult -1489,1490,3.7567777982693072653191175405720676297160914202833e-324 -1488,1489,6.1938357341504151901286479695569439415063997737192e-324 -1487,1488,1.0211836549145241834808394858393969878622721107385e-323 --1486,1487,1.6836353018654003967775787575988120853278156942310e-323 +-1486,1487,1.683635301865400396777578757598812085327815694231e-323 -1000,1001,5.7253723371885840347621478451444455939659006817413e-218 -746,1,1.7118422504935768395940863126920724774898448399893e-324 -745,1,4.6532696827051269825677838821613928963465780600761e-324 -744,1,1.2648898421416733835838744924032113277247250321503e-323 --100,2,1.0112214926104485299452857976202586549619937273776e-43 +-100,2,1.0112214926104485299452857976202586549619937273777e-43 -40,1,7.0043520261686450872496385674574946322564637618852e-18 -39,1,1.9039802832864522205549682434398204302321948287656e-17 -22,1,0.00000000045990553729027945343154490372104674745016326547632 --21,1,0.0000000012501528621383884128899217179612132344677933348820 +-21,1,0.000000001250152862138388412889921717961213234467793334882 -5,0.1000000000000000055511151231257827021181583404541015625,0.0070284325406897970064178180166826782452494861826129 --5,0.200000000000000011102230246251565404236316680908203125,0.0073795966896192516763254341606490588857233488970459 +-5,0.200000000000000011102230246251565404236316680908203125,0.0073795966896192516763254341606490588857233488970458 -5,0.299999999999999988897769753748434595763683319091796875,0.0077468113293655757667312507343029739167248523831057 -5,0.40000000000000002220446049250313080847263336181640625,0.0081305096289572091979752683954294936825335436706718 -5,0.5,0.0085310817250471715403658929714137093919529082936876 -5,0.59999999999999997779553950749686919152736663818359375,0.0089488668653473027587823622211623934048097865936065 --5,0.70000000000000006661338147750939242541790008544921875,0.0093841464251917633618068992464999885370158735500571 +-5,0.70000000000000006661338147750939242541790008544921875,0.0093841464251917633618068992464999885370158735500572 -5,0.79999999999999993338661852249060757458209991455078125,0.0098371382280130279440724039118912894663359333888938 -5,0.90000000000000002220446049250313080847263336181640625,0.010307992479914201807719241724904996118645473995961 -5,1,0.010796789473922252940916936375811261944108901985417 -4.45555555555555571345394128002226352691650390625,0.1000000000000000055511151231257827021181583404541015625,0.012046993465890945779382885881983685978846990300613 -4.45555555555555571345394128002226352691650390625,0.200000000000000011102230246251565404236316680908203125,0.012637852099550345200383135689227805030215588149444 --4.45555555555555571345394128002226352691650390625,0.299999999999999988897769753748434595763683319091796875,0.013253466912611560587227893540884644714749446384900 --4.45555555555555571345394128002226352691650390625,0.40000000000000002220446049250313080847263336181640625,0.013894081680735396171661054764674288969105833076290 --4.45555555555555571345394128002226352691650390625,0.5,0.014559815061228563461537805985234461232564946853630 +-4.45555555555555571345394128002226352691650390625,0.299999999999999988897769753748434595763683319091796875,0.0132534669126115605872278935408846447147494463849 +-4.45555555555555571345394128002226352691650390625,0.40000000000000002220446049250313080847263336181640625,0.01389408168073539617166105476467428896910583307629 +-4.45555555555555571345394128002226352691650390625,0.5,0.01455981506122856346153780598523446123256494685363 -4.45555555555555571345394128002226352691650390625,0.59999999999999997779553950749686919152736663818359375,0.015250654167377430855150695399289688389400914575596 -4.45555555555555571345394128002226352691650390625,0.70000000000000006661338147750939242541790008544921875,0.015966452671975543192380975359383692098089136148437 -4.45555555555555571345394128002226352691650390625,0.79999999999999993338661852249060757458209991455078125,0.016706933402926409504298579144822056116924575742826 @@ -40,9 +40,9 @@ arg0,arg1,expectedresult -3.911111111111110982818672709981910884380340576171875,0.299999999999999988897769753748434595763683319091796875,0.022557003850276219677151127961501875630761739986563 -3.911111111111110982818672709981910884380340576171875,0.40000000000000002220446049250313080847263336181640625,0.023603497906991841905647176799224776538648153665823 -3.911111111111110982818672709981910884380340576171875,0.5,0.024683284523427435958366949586976036012180662879723 --3.911111111111110982818672709981910884380340576171875,0.59999999999999997779553950749686919152736663818359375,0.025795205790333107519545040703844902640625182150160 +-3.911111111111110982818672709981910884380340576171875,0.59999999999999997779553950749686919152736663818359375,0.02579520579033310751954504070384490264062518215016 -3.911111111111110982818672709981910884380340576171875,0.70000000000000006661338147750939242541790008544921875,0.026937910223192268033036070917118606495460943184999 --3.911111111111110982818672709981910884380340576171875,0.79999999999999993338661852249060757458209991455078125,0.028109887438997789912145268427595402207437424453500 +-3.911111111111110982818672709981910884380340576171875,0.79999999999999993338661852249060757458209991455078125,0.0281098874389977899121452684275954022074374244535 -3.911111111111110982818672709981910884380340576171875,0.90000000000000002220446049250313080847263336181640625,0.029309504385837889587527032234679701594432721876686 -3.911111111111110982818672709981910884380340576171875,1,0.030535040642068730047881356161274706257060492387963 -3.366666666666665808094194289878942072391510009765625,0.1000000000000000055511151231257827021181583404541015625,0.034880823819739957807722266152283450567756375331066 @@ -50,38 +50,38 @@ arg0,arg1,expectedresult -3.366666666666665808094194289878942072391510009765625,0.299999999999999988897769753748434595763683319091796875,0.038063738463402063634832315339381883349361462933504 -3.366666666666665808094194289878942072391510009765625,0.40000000000000002220446049250313080847263336181640625,0.039713608780452956356777872124073614716387125290263 -3.366666666666665808094194289878942072391510009765625,0.5,0.041398076665446195088853116811996417309868368013899 --3.366666666666665808094194289878942072391510009765625,0.59999999999999997779553950749686919152736663818359375,0.043113688565508467507198485327586111688735041712520 +-3.366666666666665808094194289878942072391510009765625,0.59999999999999997779553950749686919152736663818359375,0.04311368856550846750719848532758611168873504171252 -3.366666666666665808094194289878942072391510009765625,0.70000000000000006661338147750939242541790008544921875,0.044856943931658959688690829212642283571132748487362 -3.366666666666665808094194289878942072391510009765625,0.79999999999999993338661852249060757458209991455078125,0.046624371029585567080793490728360039548770371464039 -3.366666666666665808094194289878942072391510009765625,0.90000000000000002220446049250313080847263336181640625,0.048412587065340364874439010074762490908742502087229 -3.366666666666665808094194289878942072391510009765625,1,0.050218343030313630015505290283349421769797500971583 -3.26616952209607713797367978258989751338958740234375,0.2247500983826674902932296618018881417810916900634765625,0.040549226357751862830310024209346300486074786912071 -2.8302208748771828794588145683519542217254638671875,0.2981009058509089815203196849324740469455718994140625,0.062841298787852897437643204822512402974715920207227 --2.82222222222222196563734541996382176876068115234375,0.1000000000000000055511151231257827021181583404541015625,0.058507101293713098772718032126934438982575770319520 +-2.82222222222222196563734541996382176876068115234375,0.1000000000000000055511151231257827021181583404541015625,0.05850710129371309877271803212693443898257577031952 -2.82222222222222196563734541996382176876068115234375,0.200000000000000011102230246251565404236316680908203125,0.060914949011335069565470839198851905449439101374396 -2.82222222222222196563734541996382176876068115234375,0.299999999999999988897769753748434595763683319091796875,0.063351573044986454133028013858174204785021874198777 -2.82222222222222196563734541996382176876068115234375,0.40000000000000002220446049250313080847263336181640625,0.065810102586868544900239041663403407324461069181741 -2.82222222222222196563734541996382176876068115234375,0.5,0.068284028339646463169799816411937473109489024306552 -2.82222222222222196563734541996382176876068115234375,0.59999999999999997779553950749686919152736663818359375,0.070767325049599569595451693597751197920044831522401 --2.82222222222222196563734541996382176876068115234375,0.70000000000000006661338147750939242541790008544921875,0.073254517762266116678316796579380850240373506649070 --2.82222222222222196563734541996382176876068115234375,0.79999999999999993338661852249060757458209991455078125,0.075740704878253460624131837315243507977886248436880 +-2.82222222222222196563734541996382176876068115234375,0.70000000000000006661338147750939242541790008544921875,0.07325451776226611667831679657938085024037350664907 +-2.82222222222222196563734541996382176876068115234375,0.79999999999999993338661852249060757458209991455078125,0.07574070487825346062413183731524350797788624843688 -2.82222222222222196563734541996382176876068115234375,0.90000000000000002220446049250313080847263336181640625,0.078221551038945516601159441037324136513623210421153 -2.82222222222222196563734541996382176876068115234375,1,0.080693260665872731146184113217389320661971226491118 --2.277777777777778123180496550048701465129852294921875,0.1000000000000000055511151231257827021181583404541015625,0.096409680667646211718319226820182654857474711556078 +-2.277777777777778123180496550048701465129852294921875,0.1000000000000000055511151231257827021181583404541015625,0.096409680667646211718319226820182654857474711556079 -2.277777777777778123180496550048701465129852294921875,0.200000000000000011102230246251565404236316680908203125,0.099825194299261303526796701964178892528033328237011 --2.277777777777778123180496550048701465129852294921875,0.299999999999999988897769753748434595763683319091796875,0.10321644649671020162170275293370477050546728033700 +-2.277777777777778123180496550048701465129852294921875,0.299999999999999988897769753748434595763683319091796875,0.103216446496710201621702752933704770505467280337 -2.277777777777778123180496550048701465129852294921875,0.40000000000000002220446049250313080847263336181640625,0.10657494160522467566782404068863711560685081933307 -2.277777777777778123180496550048701465129852294921875,0.5,0.10989386678173827425478471803283318850978592430271 -2.277777777777778123180496550048701465129852294921875,0.59999999999999997779553950749686919152736663818359375,0.11316790308270835315687789066420855131549559327989 -2.277777777777778123180496550048701465129852294921875,0.70000000000000006661338147750939242541790008544921875,0.11639301191032333822600376821733329308533458353174 -2.277777777777778123180496550048701465129852294921875,0.79999999999999993338661852249060757458209991455078125,0.11956622694786893526086638270741432915355498421072 --2.277777777777778123180496550048701465129852294921875,0.90000000000000002220446049250313080847263336181640625,0.12268546585992654040246941524468912974970493614340 +-2.277777777777778123180496550048701465129852294921875,0.90000000000000002220446049250313080847263336181640625,0.1226854658599265404024694152446891297497049361434 -2.277777777777778123180496550048701465129852294921875,1,0.12574936683039266750256481747280589162058703734979 -2.151459132354937242581627288018353283405303955078125,0.283904990932423662020056553956237621605396270751953125,0.11454896339242427738224430905712147323399578993216 -2.02049074891955715571612017811276018619537353515625,0.2499198160633840093414193006537971086800098419189453125,0.12678202401309071970304941231895189021049448724205 -1.733333333333332948456018129945732653141021728515625,0.1000000000000000055511151231257827021181583404541015625,0.15456552105648491836315973844138062456129643338868 -1.733333333333332948456018129945732653141021728515625,0.200000000000000011102230246251565404236316680908203125,0.15884449081180850975197819238306890642782899138227 --1.733333333333332948456018129945732653141021728515625,0.299999999999999988897769753748434595763683319091796875,0.16299577890325420123508192356095834697651968762760 +-1.733333333333332948456018129945732653141021728515625,0.299999999999999988897769753748434595763683319091796875,0.1629957789032542012350819235609583469765196876276 -1.733333333333332948456018129945732653141021728515625,0.40000000000000002220446049250313080847263336181640625,0.16701927735154446622144172252146565228529791660546 -1.733333333333332948456018129945732653141021728515625,0.5,0.17091674272056627130124491608092152593052214670671 -1.733333333333332948456018129945732653141021728515625,0.59999999999999997779553950749686919152736663818359375,0.17469115780225936141705598688399620769006304228221 @@ -105,9 +105,9 @@ arg0,arg1,expectedresult -1.091404116398114521047091329819522798061370849609375,0.23478879702529409367883772574714384973049163818359375,0.26158771536567669833544853678605658981738761389607 -1.0840111112969392781479882614803500473499298095703125,0.2377412997563805863165953269344754517078399658203125,0.26307673951856357921966801337177872756501436610881 -0.80964809231944201428632368333637714385986328125,0.21616814899863801002766194869764149188995361328125,0.31613852221849331265318593517329926725432191185875 --0.6444444444444439312746908399276435375213623046875,0.1000000000000000055511151231257827021181583404541015625,0.34761637766136307167614761752397245153029529869390 +-0.6444444444444439312746908399276435375213623046875,0.1000000000000000055511151231257827021181583404541015625,0.3476163776613630716761476175239724515302952986939 -0.6444444444444439312746908399276435375213623046875,0.200000000000000011102230246251565404236316680908203125,0.35073388666093208418067307046254374081504009647336 --0.6444444444444439312746908399276435375213623046875,0.299999999999999988897769753748434595763683319091796875,0.35363050595355568817412003033377364229022893289970 +-0.6444444444444439312746908399276435375213623046875,0.299999999999999988897769753748434595763683319091796875,0.3536305059535556881741200303337736422902289328997 -0.6444444444444439312746908399276435375213623046875,0.40000000000000002220446049250313080847263336181640625,0.35633454802770539558256961136094551099498479634145 -0.6444444444444439312746908399276435375213623046875,0.5,0.35886905445079738372216922380153208331930336334894 -0.6444444444444439312746908399276435375213623046875,0.59999999999999997779553950749686919152736663818359375,0.36125306516277853091910927696970612260983582188962 @@ -121,11 +121,11 @@ arg0,arg1,expectedresult -0.1000000000000000055511151231257827021181583404541015625,0.40000000000000002220446049250313080847263336181640625,0.47712025529927200939107921223825979561534884300335 -0.1000000000000000055511151231257827021181583404541015625,0.5,0.47755157920838082458112303455600511292480846859086 -0.1000000000000000055511151231257827021181583404541015625,0.59999999999999997779553950749686919152736663818359375,0.47795510169498735859214666312002284485829472426331 --0.1000000000000000055511151231257827021181583404541015625,0.70000000000000006661338147750939242541790008544921875,0.47833405542437517832382335186159989603748217373330 +-0.1000000000000000055511151231257827021181583404541015625,0.70000000000000006661338147750939242541790008544921875,0.4783340554243751783238233518615998960374821737333 -0.1000000000000000055511151231257827021181583404541015625,0.79999999999999993338661852249060757458209991455078125,0.47869112436928831096664797702660563163161041662625 --0.1000000000000000055511151231257827021181583404541015625,0.90000000000000002220446049250313080847263336181640625,0.47902856552362060170814670825106824051301395785067 +-0.1000000000000000055511151231257827021181583404541015625,0.90000000000000002220446049250313080847263336181640625,0.47902856552362060170814670825106824051301395785068 -0.1000000000000000055511151231257827021181583404541015625,1,0.47934829763723591035144971394785491798145647472151 -1,Infinity,0.50000000000000000000000000000000000000000000000000 +1,Infinity,0.5 1,1e20,0.50000000003989422804014326779327188186563284724528 1,1e19,0.50000000012615662610100800238950293248004917674756 1,1e18,0.50000000039894228040143267721722193212904226874538 @@ -138,7 +138,7 @@ arg0,arg1,expectedresult 1,1e11,0.50000126156626098722548048616350097354488801331989 1,1e10,0.50000398942280329160265185461690192742472297069169 1,1e9,0.50001261566258724625668537676469869836245715892714 -1,1e8,0.50003989422731741916603824413256840591845162075063 +1,1e8,0.50003989422731741916603824413256840591845162075062 1,1e7,0.50012615660324647260177679444908893707582763490024 1,1e6,0.50039894155767990981788339506558859311893750625174 1,1e5,0.50126154340729015863630741098510914951138725319447 @@ -150,14 +150,14 @@ arg0,arg1,expectedresult 1.930314781134816026764156049466691911220550537109375,0.32785733257471194601606612195610068738460540771484375,0.86016286757340203758469339838593194685521919998194 1.9310174069733438972917838327703066170215606689453125,0.2237391006961640116390555022007902152836322784423828125,0.86431187621150412707333844358970350631174552378898 14,1,0.99999862904602265318957382152987101313774108527376 -15,1,0.99999949565302886954588712099569925815551486697500 +15,1,0.999999495653028869545887120995699258155514866975 20,1,0.99999999660173221189625590710363315204531715485176 21,1,0.99999999874984713786161158711007828203878676553221 -37,1,0.99999999999999985931382875538537707697022738836470 +37,1,0.9999999999999998593138287553853770769702273883647 38,1,0.99999999999999994824444994198132193277927126425275 -39,1,0.99999999999999998096019716713547779445031756560180 +39,1,0.9999999999999999809601971671354777944503175656018 75,76,0.99999999999999996115069274628876815908837310416143 76,77,0.99999999999999997642229195923121525432775581580291 -4662,1314,1.0000000000000000000000000000000000000000000000000 -8000,16384,1.0000000000000000000000000000000000000000000000000 -Infinity,0.25,1.0000000000000000000000000000000000000000000000000 +4662,1314,1.0 +8000,16384,1.0 +Infinity,0.25,1.0 diff --git a/test/Tests/Data/SpecialFunctionsValues/logisticGaussianDeriv.csv b/test/Tests/Data/SpecialFunctionsValues/logisticGaussianDeriv.csv index c6e21673a..208b74904 100644 --- a/test/Tests/Data/SpecialFunctionsValues/logisticGaussianDeriv.csv +++ b/test/Tests/Data/SpecialFunctionsValues/logisticGaussianDeriv.csv @@ -1,20 +1,20 @@ arg0,arg1,expectedresult -Infinity,0.25,0.0 --1490,1491,2.2306098451739405699630856758138827854837388494230e-324 +-1490,1491,2.230609845173940569963085675813882785483738849423e-324 -1489,1490,3.6776009207918510369369876992436653776123266899722e-324 -5,0.1000000000000000055511151231257827021181583404541015625,0.0069739268714933606530778176191729658196316322417569 -5,0.200000000000000011102230246251565404236316680908203125,0.0073133427829710530042625244380653429105924795818747 --5,0.299999999999999988897769753748434595763683319091796875,0.0076663813572874366895296745046841772300470672439860 +-5,0.299999999999999988897769753748434595763683319091796875,0.007666381357287436689529674504684177230047067243986 -5,0.40000000000000002220446049250313080847263336181640625,0.0080330274108470183512925113308733106452837139524574 -5,0.5,0.0084131645511205730713556611766129559029372030278904 -5,0.59999999999999997779553950749686919152736663818359375,0.0088065692660047647490023071690485551893988363007571 --5,0.70000000000000006661338147750939242541790008544921875,0.0092129089437816406889206132173053366634544741967560 +-5,0.70000000000000006661338147750939242541790008544921875,0.009212908943781640688920613217305336663454474196756 -5,0.79999999999999993338661852249060757458209991455078125,0.0096317441357810800622673778014057380766425813251306 -5,0.90000000000000002220446049250313080847263336181640625,0.010062534870822557853052659312918720323985341022533 -5,1,0.010504650409331970739325221226779674917779742167882 -4.45555555555555571345394128002226352691650390625,0.1000000000000000055511151231257827021181583404541015625,0.011887043294654390769791029228636749070662731389152 --4.45555555555555571345394128002226352691650390625,0.200000000000000011102230246251565404236316680908203125,0.012444077449339739260332356578952563164302415226700 --4.45555555555555571345394128002226352691650390625,0.299999999999999988897769753748434595763683319091796875,0.013019213234282910225536803521858178828350319405760 +-4.45555555555555571345394128002226352691650390625,0.200000000000000011102230246251565404236316680908203125,0.0124440774493397392603323565789525631643024152267 +-4.45555555555555571345394128002226352691650390625,0.299999999999999988897769753748434595763683319091796875,0.01301921323428291022553680352185817882835031940576 -4.45555555555555571345394128002226352691650390625,0.40000000000000002220446049250313080847263336181640625,0.013611622574191864181495980600631990114382901577549 -4.45555555555555571345394128002226352691650390625,0.5,0.014220275622111099694205410417594024572054420819952 -4.45555555555555571345394128002226352691650390625,0.59999999999999997779553950749686919152736663818359375,0.014843958687073437659223021204733151839581963376619 @@ -25,11 +25,11 @@ arg0,arg1,expectedresult -3.911111111111110982818672709981910884380340576171875,0.1000000000000000055511151231257827021181583404541015625,0.020102064654482823940657366658310848135806777514654 -3.911111111111110982818672709981910884380340576171875,0.200000000000000011102230246251565404236316680908203125,0.020984138613394552385568111131580820860569191722227 -3.911111111111110982818672709981910884380340576171875,0.299999999999999988897769753748434595763683319091796875,0.021883888732037619224876816374723774354778120603857 --3.911111111111110982818672709981910884380340576171875,0.40000000000000002220446049250313080847263336181640625,0.022798473089800577025400183492726401522036779739740 +-3.911111111111110982818672709981910884380340576171875,0.40000000000000002220446049250313080847263336181640625,0.02279847308980057702540018349272640152203677973974 -3.911111111111110982818672709981910884380340576171875,0.5,0.023724853993509979155162493935174390450596735583545 -3.911111111111110982818672709981910884380340576171875,0.59999999999999997779553950749686919152736663818359375,0.024659894599175111168915985083251982969038811274139 -3.911111111111110982818672709981910884380340576171875,0.70000000000000006661338147750939242541790008544921875,0.025600452807605192687752442710093101273228081411241 --3.911111111111110982818672709981910884380340576171875,0.79999999999999993338661852249060757458209991455078125,0.026543463879658383074153768374153202296975870413650 +-3.911111111111110982818672709981910884380340576171875,0.79999999999999993338661852249060757458209991455078125,0.02654346387965838307415376837415320229697587041365 -3.911111111111110982818672709981910884380340576171875,0.90000000000000002220446049250313080847263336181640625,0.027486006967384048870004996902472257319869314731157 -3.911111111111110982818672709981910884380340576171875,1,0.028425354118806309182611109454165493631292173992938 -3.366666666666665808094194289878942072391510009765625,0.1000000000000000055511151231257827021181583404541015625,0.033546696233510551329852426723253866033750693014349 @@ -44,10 +44,10 @@ arg0,arg1,expectedresult -3.366666666666665808094194289878942072391510009765625,1,0.044926927336205169583570243322592601934471587174271 -3.26616952209607713797367978258989751338958740234375,0.2247500983826674902932296618018881417810916900634765625,0.038539157394063514010320886414473925939808399347881 -2.8302208748771828794588145683519542217254638671875,0.2981009058509089815203196849324740469455718994140625,0.057786538612169113676936570285074790946181940964176 --2.82222222222222196563734541996382176876068115234375,0.1000000000000000055511151231257827021181583404541015625,0.054772374930040714445284466830935709846204370363810 +-2.82222222222222196563734541996382176876068115234375,0.1000000000000000055511151231257827021181583404541015625,0.05477237493004071444528446683093570984620437036381 -2.82222222222222196563734541996382176876068115234375,0.200000000000000011102230246251565404236316680908203125,0.056516915419636071587593090210596470645726424462831 -2.82222222222222196563734541996382176876068115234375,0.299999999999999988897769753748434595763683319091796875,0.058208726003769736901032682706329405504728522299424 --2.82222222222222196563734541996382176876068115234375,0.40000000000000002220446049250313080847263336181640625,0.059840917662777855414450158823973184485270309792150 +-2.82222222222222196563734541996382176876068115234375,0.40000000000000002220446049250313080847263336181640625,0.05984091766277785541445015882397318448527030979215 -2.82222222222222196563734541996382176876068115234375,0.5,0.061408515043999691507507060527118816425540477038067 -2.82222222222222196563734541996382176876068115234375,0.59999999999999997779553950749686919152736663818359375,0.062908281033206259397980697389625046827365993723906 -2.82222222222222196563734541996382176876068115234375,0.70000000000000006661338147750939242541790008544921875,0.064338465659174625276317604947200312217559811926834 @@ -60,9 +60,9 @@ arg0,arg1,expectedresult -2.277777777777778123180496550048701465129852294921875,0.40000000000000002220446049250313080847263336181640625,0.091500659942505814368334090800547526073951996848711 -2.277777777777778123180496550048701465129852294921875,0.5,0.092937661146811182826808664621620553356899178549776 -2.277777777777778123180496550048701465129852294921875,0.59999999999999997779553950749686919152736663818359375,0.094245057013377152307819743292202839138504235391089 --2.277777777777778123180496550048701465129852294921875,0.70000000000000006661338147750939242541790008544921875,0.095431016311829336769576627449187894600450380761440 +-2.277777777777778123180496550048701465129852294921875,0.70000000000000006661338147750939242541790008544921875,0.09543101631182933676957662744918789460045038076144 -2.277777777777778123180496550048701465129852294921875,0.79999999999999993338661852249060757458209991455078125,0.096503941600327140156396742900956932401434768381793 --2.277777777777778123180496550048701465129852294921875,0.90000000000000002220446049250313080847263336181640625,0.097472147468427309964775540656295089610243383880150 +-2.277777777777778123180496550048701465129852294921875,0.90000000000000002220446049250313080847263336181640625,0.09747214746842730996477554065629508961024338388015 -2.277777777777778123180496550048701465129852294921875,1,0.098343658016792161528655879780188193852949727726617 -2.151459132354937242581627288018353283405303955078125,0.283904990932423662020056553956237621605396270751953125,0.098463798079336594358357392244472356008686096295539 -2.02049074891955715571612017811276018619537353515625,0.2499198160633840093414193006537971086800098419189453125,0.10762991432765594062915552883276453110503461031787 @@ -74,7 +74,7 @@ arg0,arg1,expectedresult -1.733333333333332948456018129945732653141021728515625,0.59999999999999997779553950749686919152736663818359375,0.13261351125264577509770203978221949910108948982158 -1.733333333333332948456018129945732653141021728515625,0.70000000000000006661338147750939242541790008544921875,0.13288487365505033765691045984646493725312657989418 -1.733333333333332948456018129945732653141021728515625,0.79999999999999993338661852249060757458209991455078125,0.13304966121765513908382245715131636763090016127894 --1.733333333333332948456018129945732653141021728515625,0.90000000000000002220446049250313080847263336181640625,0.13312232640728644350860433351775297446437078782504 +-1.733333333333332948456018129945732653141021728515625,0.90000000000000002220446049250313080847263336181640625,0.13312232640728644350860433351775297446437078782503 -1.733333333333332948456018129945732653141021728515625,1,0.13311530717484937647872876890485820357836546641333 -1.41492694590947731825281152850948274135589599609375,0.248899985454297867359940710230148397386074066162109375,0.15758871929145023788761838374719219260439351007337 -1.291055950794525841729409876279532909393310546875,0.125360678210552745071026947698555886745452880859375,0.16880897397849016006884317922635818484176535573091 @@ -91,19 +91,19 @@ arg0,arg1,expectedresult -1.0989794504108203465619908456574194133281707763671875,0.273753563245355546751369502089801244437694549560546875,0.18375477500736430046542850241761214339433742602353 -1.091404116398114521047091329819522798061370849609375,0.23478879702529409367883772574714384973049163818359375,0.18494382067683856680669660756759332762992371695562 -1.0840111112969392781479882614803500473499298095703125,0.2377412997563805863165953269344754517078399658203125,0.18549858296223390806201015600638539974717800040696 --0.80964809231944201428632368333637714385986328125,0.21616814899863801002766194869764149188995361328125,0.20682720051048504971469976827410022822501540963370 +-0.80964809231944201428632368333637714385986328125,0.21616814899863801002766194869764149188995361328125,0.2068272005104850497146997682741002282250154096337 -0.6444444444444439312746908399276435375213623046875,0.1000000000000000055511151231257827021181583404541015625,0.22183611244731822666268756058067837933716734708469 -0.6444444444444439312746908399276435375213623046875,0.200000000000000011102230246251565404236316680908203125,0.21812437153607292119618134983058490997406037040964 -0.6444444444444439312746908399276435375213623046875,0.299999999999999988897769753748434595763683319091796875,0.21459633708691156118526457856593387107167845581584 -0.6444444444444439312746908399276435375213623046875,0.40000000000000002220446049250313080847263336181640625,0.21124105814715769129116489733077193092614744402477 --0.6444444444444439312746908399276435375213623046875,0.5,0.20804684185655957688393953603490043835350995523610 +-0.6444444444444439312746908399276435375213623046875,0.5,0.2080468418565595768839395360349004383535099552361 -0.6444444444444439312746908399276435375213623046875,0.59999999999999997779553950749686919152736663818359375,0.20500221289602295601017945245125108197740295605028 -0.6444444444444439312746908399276435375213623046875,0.70000000000000006661338147750939242541790008544921875,0.20209633052896008552594798367814289514546485198644 -0.6444444444444439312746908399276435375213623046875,0.79999999999999993338661852249060757458209991455078125,0.19931914769044629223588426125172931509695893698526 -0.6444444444444439312746908399276435375213623046875,0.90000000000000002220446049250313080847263336181640625,0.19666144523055228419865545511084192034232809311421 -0.6444444444444439312746908399276435375213623046875,1,0.19411480644407472122095930192416976894805620885203 --0.1000000000000000055511151231257827021181583404541015625,0.1000000000000000055511151231257827021181583404541015625,0.24347460633862427750128798708767593056251576328330 --0.1000000000000000055511151231257827021181583404541015625,0.200000000000000011102230246251565404236316680908203125,0.23807871044244017071895237750908041323739870146040 +-0.1000000000000000055511151231257827021181583404541015625,0.1000000000000000055511151231257827021181583404541015625,0.2434746063386242775012879870876759305625157632833 +-0.1000000000000000055511151231257827021181583404541015625,0.200000000000000011102230246251565404236316680908203125,0.2380787104424401707189523775090804132373987014604 -0.1000000000000000055511151231257827021181583404541015625,0.299999999999999988897769753748434595763683319091796875,0.23310757083950222196569376962004007527079541065922 -0.1000000000000000055511151231257827021181583404541015625,0.40000000000000002220446049250313080847263336181640625,0.22849951709400473275859989378306397356268863987458 -0.1000000000000000055511151231257827021181583404541015625,0.5,0.22420607327415541253485658004497126573491970895844 @@ -111,13 +111,13 @@ arg0,arg1,expectedresult -0.1000000000000000055511151231257827021181583404541015625,0.70000000000000006661338147750939242541790008544921875,0.21641418245224191876220041240697916267973775792659 -0.1000000000000000055511151231257827021181583404541015625,0.79999999999999993338661852249060757458209991455078125,0.21285730867151728098764906217988721829034288180354 -0.1000000000000000055511151231257827021181583404541015625,0.90000000000000002220446049250313080847263336181640625,0.20949532630469808430982939076975255043192815769614 --0.1000000000000000055511151231257827021181583404541015625,1,0.20630924980183645219225170993505158283881442763050 +-0.1000000000000000055511151231257827021181583404541015625,1,0.2063092498018364521922517099350515828388144276305 1,Infinity,0.0 1.1999999999999999555910790149937383830547332763671875,2.5,0.14942183349350405959879390948183743882520116692414 1.930314781134816026764156049466691911220550537109375,0.32785733257471194601606612195610068738460540771484375,0.11557857402556585457070747559810624941942867433193 1.9310174069733438972917838327703066170215606689453125,0.2237391006961640116390555022007902152836322784423828125,0.11420086531540820028775363996935471336836493885356 20,1,0.0000000033982677567124177488878672754903237283612321926189 -21,1,0.0000000012501528578900342360862469253350960316586003700140 +21,1,0.000000001250152857890034236086246925335096031658600370014 22,1,0.00000000045990553671532723090987216655291685508177338528035 39,1,1.9039802832864521220134213823272678677170879160213e-17 40,1,7.0043520261686449538881570172313742913487242176707e-18 diff --git a/test/Tests/Data/SpecialFunctionsValues/logisticGaussianDeriv2.csv b/test/Tests/Data/SpecialFunctionsValues/logisticGaussianDeriv2.csv index 2df2e4c9f..24794cf8b 100644 --- a/test/Tests/Data/SpecialFunctionsValues/logisticGaussianDeriv2.csv +++ b/test/Tests/Data/SpecialFunctionsValues/logisticGaussianDeriv2.csv @@ -4,7 +4,7 @@ arg0,arg1,expectedresult -1489,1490,3.5984770652420014967257896699361406301349183212869e-324 -40,1,7.0043520261686446871651939167791474139269134977639e-18 -39,1,1.9039802832864519249303276601021904695527469139135e-17 --22,1,0.00000000045990553556542278977420988156942725625527581401250 +-22,1,0.0000000004599055355654227897742098815694272562552758140125 -21,1,0.0000000012501528493933259609668085865401114569370505701307 -20,1,0.0000000033982676939297666373425034396819509980930821899567 -5,0.1000000000000000055511151231257827021181583404541015625,0.0068658480812607245379037356392449220539949084679499 @@ -12,7 +12,7 @@ arg0,arg1,expectedresult -5,0.299999999999999988897769753748434595763683319091796875,0.0075077517802772453689190695189272861703195859666167 -5,0.40000000000000002220446049250313080847263336181640625,0.0078414833015787868669417300218809029098916531703223 -5,0.5,0.0081825337165946099488520799977270758146707201672252 --5,0.59999999999999997779553950749686919152736663818359375,0.0085298117214101106841425503834888914915548274516986 +-5,0.59999999999999997779553950749686919152736663818359375,0.0085298117214101106841425503834888914915548274516985 -5,0.70000000000000006661338147750939242541790008544921875,0.0088820981130107807523151731121140561603497175554286 -5,0.79999999999999993338661852249060757458209991455078125,0.0092380754519326484453120909414870505349337249382475 -5,0.90000000000000002220446049250313080847263336181640625,0.0095963624360955068026239303003360103396238411440644 @@ -20,7 +20,7 @@ arg0,arg1,expectedresult -4.45555555555555571345394128002226352691650390625,0.1000000000000000055511151231257827021181583404541015625,0.011571822099795969562272204996304619195292365429807 -4.45555555555555571345394128002226352691650390625,0.200000000000000011102230246251565404236316680908203125,0.012063722618928847428784339334561265898476012171264 -4.45555555555555571345394128002226352691650390625,0.299999999999999988897769753748434595763683319091796875,0.012561686020904107840781447179694905815911787955256 --4.45555555555555571345394128002226352691650390625,0.40000000000000002220446049250313080847263336181640625,0.013063302394854662890129252752380686787919504571570 +-4.45555555555555571345394128002226352691650390625,0.40000000000000002220446049250313080847263336181640625,0.01306330239485466289012925275238068678791950457157 -4.45555555555555571345394128002226352691650390625,0.5,0.013565990498827929790472478777966131009359646368064 -4.45555555555555571345394128002226352691650390625,0.59999999999999997779553950749686919152736663818359375,0.014067085099303087462321622501342572444250513744473 -4.45555555555555571345394128002226352691650390625,0.70000000000000006661338147750939242541790008544921875,0.014563928942429622684042186924366811729237211383496 @@ -36,9 +36,9 @@ arg0,arg1,expectedresult -3.911111111111110982818672709981910884380340576171875,0.70000000000000006661338147750939242541790008544921875,0.023152079688842879834147011276042779070389025621759 -3.911111111111110982818672709981910884380340576171875,0.79999999999999993338661852249060757458209991455078125,0.023721553589045913890354098464564014179235126335152 -3.911111111111110982818672709981910884380340576171875,0.90000000000000002220446049250313080847263336181640625,0.024257378617156815995471811040913882310896107505817 --3.911111111111110982818672709981910884380340576171875,1,0.024758144796601760543284319376265566689992232586100 +-3.911111111111110982818672709981910884380340576171875,1,0.0247581447966017605432843193762655666899922325861 -3.366666666666665808094194289878942072391510009765625,0.1000000000000000055511151231257827021181583404541015625,0.030990227576708543123086718165978778894169480485394 --3.366666666666665808094194289878942072391510009765625,0.200000000000000011102230246251565404236316680908203125,0.031838930230770610256389667711409043102819647018737 +-3.366666666666665808094194289878942072391510009765625,0.200000000000000011102230246251565404236316680908203125,0.031838930230770610256389667711409043102819647018736 -3.366666666666665808094194289878942072391510009765625,0.299999999999999988897769753748434595763683319091796875,0.032628993159850518637114649500718534420587394845112 -3.366666666666665808094194289878942072391510009765625,0.40000000000000002220446049250313080847263336181640625,0.033354729812784400021782464332488688944938383930063 -3.366666666666665808094194289878942072391510009765625,0.5,0.034012443636042170126603573464480864932603897357965 @@ -47,16 +47,16 @@ arg0,arg1,expectedresult -3.366666666666665808094194289878942072391510009765625,0.79999999999999993338661852249060757458209991455078125,0.035567509409074296932864757312569002522372877175336 -3.366666666666665808094194289878942072391510009765625,0.90000000000000002220446049250313080847263336181640625,0.035950291683822933957080037008354498955909877954039 -3.366666666666665808094194289878942072391510009765625,1,0.036269660499440264807835009133138865099379897925838 --3.26616952209607713797367978258989751338958740234375,0.2247500983826674902932296618018881417810916900634765625,0.034760894747094315046360830371563155917291633855080 +-3.26616952209607713797367978258989751338958740234375,0.2247500983826674902932296618018881417810916900634765625,0.03476089474709431504636083037156315591729163385508 -2.8302208748771828794588145683519542217254638671875,0.2981009058509089815203196849324740469455718994140625,0.048699675067863989312185932752745770494109791609121 -2.82222222222222196563734541996382176876068115234375,0.1000000000000000055511151231257827021181583404541015625,0.047822283051413352635081958235484585482903306274063 --2.82222222222222196563734541996382176876068115234375,0.200000000000000011102230246251565404236316680908203125,0.048468057628424966696280929383688259433734308825640 +-2.82222222222222196563734541996382176876068115234375,0.200000000000000011102230246251565404236316680908203125,0.04846805762842496669628092938368825943373430882564 -2.82222222222222196563734541996382176876068115234375,0.299999999999999988897769753748434595763683319091796875,0.048973938559863408578601472414798692743867589725441 -2.82222222222222196563734541996382176876068115234375,0.40000000000000002220446049250313080847263336181640625,0.049345505067337977659519251240291193709656400144501 -2.82222222222222196563734541996382176876068115234375,0.5,0.049591419440974338632545145844155248977826957742597 -2.82222222222222196563734541996382176876068115234375,0.59999999999999997779553950749686919152736663818359375,0.049722192059279879020890238229077529554530194247039 -2.82222222222222196563734541996382176876068115234375,0.70000000000000006661338147750939242541790008544921875,0.049749180671994284254303539967939156927594916099267 --2.82222222222222196563734541996382176876068115234375,0.79999999999999993338661852249060757458209991455078125,0.049683861977257186825236564865155229263419649192650 +-2.82222222222222196563734541996382176876068115234375,0.79999999999999993338661852249060757458209991455078125,0.04968386197725718682523656486515522926341964919265 -2.82222222222222196563734541996382176876068115234375,0.90000000000000002220446049250313080847263336181640625,0.049537345345470467990591038551148158938699703143104 -2.82222222222222196563734541996382176876068115234375,1,0.049320076081744285973008211370134284885563006745015 -2.277777777777778123180496550048701465129852294921875,0.1000000000000000055511151231257827021181583404541015625,0.068487305438464800054195147223859163424563336109637 @@ -64,7 +64,7 @@ arg0,arg1,expectedresult -2.277777777777778123180496550048701465129852294921875,0.299999999999999988897769753748434595763683319091796875,0.067522877767645675895095007430943721697354529746548 -2.277777777777778123180496550048701465129852294921875,0.40000000000000002220446049250313080847263336181640625,0.066794282584781416261841704745688673103263059204437 -2.277777777777778123180496550048701465129852294921875,0.5,0.065945067213902536180170064423361535748292170650755 --2.277777777777778123180496550048701465129852294921875,0.59999999999999997779553950749686919152736663818359375,0.065002992813457619043022279385822828824709558851700 +-2.277777777777778123180496550048701465129852294921875,0.59999999999999997779553950749686919152736663818359375,0.0650029928134576190430222793858228288247095588517 -2.277777777777778123180496550048701465129852294921875,0.70000000000000006661338147750939242541790008544921875,0.063991535543194461591906785141420655947944183468378 -2.277777777777778123180496550048701465129852294921875,0.79999999999999993338661852249060757458209991455078125,0.062930179320166296181610373823570862157334560050854 -2.277777777777778123180496550048701465129852294921875,0.90000000000000002220446049250313080847263336181640625,0.061834883795108485738065225633675181610264898880898 @@ -79,7 +79,7 @@ arg0,arg1,expectedresult -1.733333333333332948456018129945732653141021728515625,0.59999999999999997779553950749686919152736663818359375,0.074281894880604297634705175841932831577090990509829 -1.733333333333332948456018129945732653141021728515625,0.70000000000000006661338147750939242541790008544921875,0.071936936942460505200566227505353855337383748508012 -1.733333333333332948456018129945732653141021728515625,0.79999999999999993338661852249060757458209991455078125,0.069679016500541495915565729552055337063334928049533 --1.733333333333332948456018129945732653141021728515625,0.90000000000000002220446049250313080847263336181640625,0.067511066519154777219460541189223332479674572186660 +-1.733333333333332948456018129945732653141021728515625,0.90000000000000002220446049250313080847263336181640625,0.06751106651915477721946054118922333247967457218666 -1.733333333333332948456018129945732653141021728515625,1,0.065433549554199229669840156527457010581392007195645 -1.41492694590947731825281152850948274135589599609375,0.248899985454297867359940710230148397386074066162109375,0.085715421640452777444034735992258226908693978372576 -1.291055950794525841729409876279532909393310546875,0.125360678210552745071026947698555886745452880859375,0.090214865490671957019271908133091699640041451122662 @@ -88,43 +88,43 @@ arg0,arg1,expectedresult -1.1888888888888879957761446348740719258785247802734375,0.299999999999999988897769753748434595763683319091796875,0.080875912319227877177186556418202175118889285052724 -1.1888888888888879957761446348740719258785247802734375,0.40000000000000002220446049250313080847263336181640625,0.076812980953753692549332147279140134296751119069314 -1.1888888888888879957761446348740719258785247802734375,0.5,0.073083367032011055282477534056194966204383618001674 --1.1888888888888879957761446348740719258785247802734375,0.59999999999999997779553950749686919152736663818359375,0.069653406743864990462955643776474312916968293968810 --1.1888888888888879957761446348740719258785247802734375,0.70000000000000006661338147750939242541790008544921875,0.066492202805774245259158068067279823536659119510750 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21,1,-0.0000000012501528493933259609668085865401114569370505701307 -22,1,-0.00000000045990553556542278977420988156942725625527581401250 +22,1,-0.0000000004599055355654227897742098815694272562552758140125 39,1,-1.9039802832864519249303276601021904695527469139135e-17 40,1,-7.0043520261686446871651939167791474139269134977639e-18 Infinity,0.25,0.0