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[libm] Add 3.5-ULP hyperbolic functions #192

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merged 3 commits into from
May 18, 2018
Merged

[libm] Add 3.5-ULP hyperbolic functions #192

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shibatch May 13, 2018
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shibatch May 13, 2018
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shibatch May 18, 2018
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30 changes: 30 additions & 0 deletions src/libm-tester/iut.c
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Original file line number Diff line number Diff line change
Expand Up @@ -175,6 +175,21 @@ int main(int argc, char **argv) {
sscanf(buf, "tanh %" PRIx64, &u);
u = d2u(xtanh(u2d(u)));
printf("%" PRIx64 "\n", u);
} else if (startsWith(buf, "sinh_u35 ")) {
uint64_t u;
sscanf(buf, "sinh_u35 %" PRIx64, &u);
u = d2u(xsinh_u35(u2d(u)));
printf("%" PRIx64 "\n", u);
} else if (startsWith(buf, "cosh_u35 ")) {
uint64_t u;
sscanf(buf, "cosh_u35 %" PRIx64, &u);
u = d2u(xcosh_u35(u2d(u)));
printf("%" PRIx64 "\n", u);
} else if (startsWith(buf, "tanh_u35 ")) {
uint64_t u;
sscanf(buf, "tanh_u35 %" PRIx64, &u);
u = d2u(xtanh_u35(u2d(u)));
printf("%" PRIx64 "\n", u);
} else if (startsWith(buf, "asinh ")) {
uint64_t u;
sscanf(buf, "asinh %" PRIx64, &u);
Expand Down Expand Up @@ -454,6 +469,21 @@ int main(int argc, char **argv) {
sscanf(buf, "tanhf %x", &u);
u = f2u(xtanhf(u2f(u)));
printf("%x\n", u);
} else if (startsWith(buf, "sinhf_u35 ")) {
uint32_t u;
sscanf(buf, "sinhf_u35 %x", &u);
u = f2u(xsinhf_u35(u2f(u)));
printf("%x\n", u);
} else if (startsWith(buf, "coshf_u35 ")) {
uint32_t u;
sscanf(buf, "coshf_u35 %x", &u);
u = f2u(xcoshf_u35(u2f(u)));
printf("%x\n", u);
} else if (startsWith(buf, "tanhf_u35 ")) {
uint32_t u;
sscanf(buf, "tanhf_u35 %x", &u);
u = f2u(xtanhf_u35(u2f(u)));
printf("%x\n", u);
} else if (startsWith(buf, "asinhf ")) {
uint32_t u;
sscanf(buf, "asinhf %x", &u);
Expand Down
6 changes: 6 additions & 0 deletions src/libm-tester/iutsimd.c
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Original file line number Diff line number Diff line change
Expand Up @@ -417,6 +417,9 @@ int do_test(int argc, char **argv) {
func_d_d("sinh", xsinh);
func_d_d("cosh", xcosh);
func_d_d("tanh", xtanh);
func_d_d("sinh_u35", xsinh_u35);
func_d_d("cosh_u35", xcosh_u35);
func_d_d("tanh_u35", xtanh_u35);
func_d_d("asinh", xasinh);
func_d_d("acosh", xacosh);
func_d_d("atanh", xatanh);
Expand Down Expand Up @@ -496,6 +499,9 @@ int do_test(int argc, char **argv) {
func_f_f("sinhf", xsinhf);
func_f_f("coshf", xcoshf);
func_f_f("tanhf", xtanhf);
func_f_f("sinhf_u35", xsinhf_u35);
func_f_f("coshf_u35", xcoshf_u35);
func_f_f("tanhf_u35", xtanhf_u35);
func_f_f("asinhf", xasinhf);
func_f_f("acoshf", xacoshf);
func_f_f("atanhf", xatanhf);
Expand Down
106 changes: 106 additions & 0 deletions src/libm-tester/tester.c
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Original file line number Diff line number Diff line change
Expand Up @@ -157,6 +157,9 @@ double child_sqrt_u35(double x) { child_d_d("sqrt_u35", x); }
double child_sinh(double x) { child_d_d("sinh", x); }
double child_cosh(double x) { child_d_d("cosh", x); }
double child_tanh(double x) { child_d_d("tanh", x); }
double child_sinh_u35(double x) { child_d_d("sinh_u35", x); }
double child_cosh_u35(double x) { child_d_d("cosh_u35", x); }
double child_tanh_u35(double x) { child_d_d("tanh_u35", x); }
double child_asinh(double x) { child_d_d("asinh", x); }
double child_acosh(double x) { child_d_d("acosh", x); }
double child_atanh(double x) { child_d_d("atanh", x); }
Expand Down Expand Up @@ -285,6 +288,9 @@ float child_sqrtf_u35(float x) { child_f_f("sqrtf_u35", x); }
float child_sinhf(float x) { child_f_f("sinhf", x); }
float child_coshf(float x) { child_f_f("coshf", x); }
float child_tanhf(float x) { child_f_f("tanhf", x); }
float child_sinhf_u35(float x) { child_f_f("sinhf_u35", x); }
float child_coshf_u35(float x) { child_f_f("coshf_u35", x); }
float child_tanhf_u35(float x) { child_f_f("tanhf_u35", x); }
float child_asinhf(float x) { child_f_f("asinhf", x); }
float child_acoshf(float x) { child_f_f("acoshf", x); }
float child_atanhf(float x) { child_f_f("atanhf", x); }
Expand Down Expand Up @@ -2402,6 +2408,27 @@ void do_test() {
showResult(success);
}

{
fprintf(stderr, "sinh_u35 denormal/nonnumber test : ");
double xa[] = { +0.0, -0.0, +1, -1, +1e+10, -1e+10, DBL_MAX, -DBL_MAX, DBL_MIN, -DBL_MIN, POSITIVE_INFINITY, NEGATIVE_INFINITY, NAN };
for(i=0;i<sizeof(xa)/sizeof(double) && success;i++) cmpDenorm_d(mpfr_sinh, child_sinh_u35, xa[i]);
showResult(success);
}

{
fprintf(stderr, "cosh_u35 denormal/nonnumber test : ");
double xa[] = { +0.0, -0.0, +1, -1, +1e+10, -1e+10, DBL_MAX, -DBL_MAX, DBL_MIN, -DBL_MIN, POSITIVE_INFINITY, NEGATIVE_INFINITY, NAN };
for(i=0;i<sizeof(xa)/sizeof(double) && success;i++) cmpDenorm_d(mpfr_cosh, child_cosh_u35, xa[i]);
showResult(success);
}

{
fprintf(stderr, "tanh_u35 denormal/nonnumber test : ");
double xa[] = { +0.0, -0.0, +1, -1, +1e+10, -1e+10, DBL_MAX, -DBL_MAX, DBL_MIN, -DBL_MIN, POSITIVE_INFINITY, NEGATIVE_INFINITY, NAN };
for(i=0;i<sizeof(xa)/sizeof(double) && success;i++) cmpDenorm_d(mpfr_tanh, child_tanh_u35, xa[i]);
showResult(success);
}

{
fprintf(stderr, "asinh denormal/nonnumber test : ");
double xa[] = { +0.0, -0.0, +1, -1, +1e+10, -1e+10, DBL_MIN, -DBL_MIN, POSITIVE_INFINITY, NEGATIVE_INFINITY, NAN };
Expand Down Expand Up @@ -2930,6 +2957,37 @@ void do_test() {
showResult(success);
}

{
fprintf(stderr, "sinhf_u35 denormal/nonnumber test : ");
if (enableFlushToZero) {
float xa[] = { +0.0, -0.0, +1, -1, +1e+7, -1e+7, FLT_MAX, -FLT_MAX, POSITIVE_INFINITYf, NEGATIVE_INFINITYf, NAN };
for(i=0;i<sizeof(xa)/sizeof(float) && success;i++) cmpDenorm_f(mpfr_sinh, child_sinhf_u35, xa[i]);
} else {
float xa[] = { +0.0, -0.0, +1, -1, +1e+7, -1e+7, FLT_MAX, -FLT_MAX, FLT_MIN, -FLT_MIN, POSITIVE_INFINITYf, NEGATIVE_INFINITYf, NAN };
for(i=0;i<sizeof(xa)/sizeof(float) && success;i++) cmpDenorm_f(mpfr_sinh, child_sinhf_u35, xa[i]);
}
showResult(success);
}

{
fprintf(stderr, "coshf_u35 denormal/nonnumber test : ");
float xa[] = { +0.0, -0.0, +1, -1, +1e+7, -1e+7, FLT_MAX, -FLT_MAX, FLT_MIN, -FLT_MIN, POSITIVE_INFINITYf, NEGATIVE_INFINITYf, NAN };
for(i=0;i<sizeof(xa)/sizeof(float) && success;i++) cmpDenorm_f(mpfr_cosh, child_coshf_u35, xa[i]);
showResult(success);
}

{
fprintf(stderr, "tanhf_u35 denormal/nonnumber test : ");
if (enableFlushToZero) {
float xa[] = { +0.0, -0.0, +1, -1, +1e+7, -1e+7, FLT_MAX, -FLT_MAX, POSITIVE_INFINITYf, NEGATIVE_INFINITYf, NAN };
for(i=0;i<sizeof(xa)/sizeof(float) && success;i++) cmpDenorm_f(mpfr_tanh, child_tanhf_u35, xa[i]);
} else {
float xa[] = { +0.0, -0.0, +1, -1, +1e+7, -1e+7, FLT_MAX, -FLT_MAX, FLT_MIN, -FLT_MIN, POSITIVE_INFINITYf, NEGATIVE_INFINITYf, NAN };
for(i=0;i<sizeof(xa)/sizeof(float) && success;i++) cmpDenorm_f(mpfr_tanh, child_tanhf_u35, xa[i]);
}
showResult(success);
}

{
fprintf(stderr, "asinhf denormal/nonnumber test : ");
if (enableFlushToZero) {
Expand Down Expand Up @@ -3817,6 +3875,27 @@ void do_test() {

//

fprintf(stderr, "sinh_u35 : ");
for(d = -10;d < 10 && success;d += 0.002) checkAccuracy_d(mpfr_sinh, child_sinh_u35, d, 3.5);
for(d = -709;d < 709 && success;d += 0.2) checkAccuracy_d(mpfr_sinh, child_sinh_u35, d, 3.5);
showResult(success);

//

fprintf(stderr, "cosh_u35 : ");
for(d = -10;d < 10 && success;d += 0.002) checkAccuracy_d(mpfr_cosh, child_cosh_u35, d, 3.5);
for(d = -709;d < 709 && success;d += 0.2) checkAccuracy_d(mpfr_cosh, child_cosh_u35, d, 3.5);
showResult(success);

//

fprintf(stderr, "tanh_u35 : ");
for(d = -10;d < 10 && success;d += 0.002) checkAccuracy_d(mpfr_tanh, child_tanh_u35, d, 3.5);
for(d = -1000;d < 1000 && success;d += 0.2) checkAccuracy_d(mpfr_tanh, child_tanh_u35, d, 3.5);
showResult(success);

//

fprintf(stderr, "asinh : ");
for(d = -10;d < 10 && success;d += 0.002) checkAccuracy_d(mpfr_asinh, child_asinh, d, 1.0);
for(d = -1000;d < 1000 && success;d += 0.2) checkAccuracy_d(mpfr_asinh, child_asinh, d, 1.0);
Expand Down Expand Up @@ -4561,6 +4640,33 @@ void do_test() {

//

fprintf(stderr, "sinhf_u35 : ");
for(d = -10;d < 10 && success;d += 0.002) checkAccuracy_f(mpfr_sinh, child_sinhf_u35, d, 3.5);
if (!enableFlushToZero) {
for(d = -88;d < 88 && success;d += 0.2) checkAccuracy_f(mpfr_sinh, child_sinhf_u35, d, 3.5);
}
showResult(success);

//

fprintf(stderr, "coshf_u35 : ");
for(d = -10;d < 10 && success;d += 0.002) checkAccuracy_f(mpfr_cosh, child_coshf_u35, d, 3.5);
if (!enableFlushToZero) {
for(d = -88;d < 88 && success;d += 0.2) checkAccuracy_f(mpfr_cosh, child_coshf_u35, d, 3.5);
}
showResult(success);

//

fprintf(stderr, "tanhf_u35 : ");
for(d = -10;d < 10 && success;d += 0.002) checkAccuracy_f(mpfr_tanh, child_tanhf_u35, d, 3.5);
if (!enableFlushToZero) {
for(d = -1000;d < 1000 && success;d += 0.2) checkAccuracy_f(mpfr_tanh, child_tanhf_u35, d, 3.5);
}
showResult(success);

//

fprintf(stderr, "asinhf : ");
for(d = -10;d < 10 && success;d += 0.002) checkAccuracy_f(mpfr_asinh, child_asinhf, d, 1.0);
if (!enableFlushToZero) {
Expand Down
38 changes: 38 additions & 0 deletions src/libm-tester/tester2dp.c
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Original file line number Diff line number Diff line change
Expand Up @@ -536,6 +536,44 @@ int main(int argc,char **argv)
fflush(stdout); ecnt++;
}
}

{
mpfr_set_d(frx, d, GMP_RNDN);
mpfr_sinh(frx, frx, GMP_RNDN);

double u0 = countULPdp(t = xsinh_u35(d), frx);

if ((fabs(d) <= 709 && u0 > 3.5) ||
(d > 709 && !(u0 <= 3.5 || (isinf(t) && t > 0))) ||
(d < -709 && !(u0 <= 3.5 || (isinf(t) && t < 0)))) {
printf("Pure C sinh_u35 arg=%.20g ulp=%.20g\n", d, u0);
fflush(stdout); ecnt++;
}
}

{
mpfr_set_d(frx, d, GMP_RNDN);
mpfr_cosh(frx, frx, GMP_RNDN);

double u0 = countULPdp(t = xcosh_u35(d), frx);

if ((fabs(d) <= 709 && u0 > 3.5) || !(u0 <= 3.5 || (isinf(t) && t > 0))) {
printf("Pure C cosh_u35 arg=%.20g ulp=%.20g\n", d, u0);
fflush(stdout); ecnt++;
}
}

{
mpfr_set_d(frx, d, GMP_RNDN);
mpfr_tanh(frx, frx, GMP_RNDN);

double u0 = countULPdp(t = xtanh_u35(d), frx);

if (u0 > 3.5) {
printf("Pure C tanh_u35 arg=%.20g ulp=%.20g\n", d, u0);
fflush(stdout); ecnt++;
}
}

{
mpfr_set_d(frx, d, GMP_RNDN);
Expand Down
41 changes: 41 additions & 0 deletions src/libm-tester/tester2simddp.c
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Original file line number Diff line number Diff line change
Expand Up @@ -677,6 +677,47 @@ int main(int argc,char **argv)
fflush(stdout); ecnt++;
}
}

{
mpfr_set_d(frx, d, GMP_RNDN);
mpfr_sinh(frx, frx, GMP_RNDN);

double u0 = countULPdp(t = vget(xsinh_u35(vd), e), frx);

if ((fabs(d) <= 709 && u0 > 3.5) ||
(d > 709 && !(u0 <= 3.5 || (isinf(t) && t > 0))) ||
(d < -709 && !(u0 <= 3.5 || (isinf(t) && t < 0)))) {
printf(ISANAME " sinh_u35 arg=%.20g ulp=%.20g\n", d, u0);
printf("correct = %.20g, test = %.20g\n", mpfr_get_d(frx, GMP_RNDN), t);
fflush(stdout); ecnt++;
}
}

{
mpfr_set_d(frx, d, GMP_RNDN);
mpfr_cosh(frx, frx, GMP_RNDN);

double u0 = countULPdp(t = vget(xcosh_u35(vd), e), frx);

if ((fabs(d) <= 709 && u0 > 3.5) || !(u0 <= 3.5 || (isinf(t) && t > 0))) {
printf(ISANAME " cosh_u35 arg=%.20g ulp=%.20g\n", d, u0);
printf("correct = %.20g, test = %.20g\n", mpfr_get_d(frx, GMP_RNDN), t);
fflush(stdout); ecnt++;
}
}

{
mpfr_set_d(frx, d, GMP_RNDN);
mpfr_tanh(frx, frx, GMP_RNDN);

double u0 = countULPdp(t = vget(xtanh_u35(vd), e), frx);

if (u0 > 3.5) {
printf(ISANAME " tanh_u35 arg=%.20g ulp=%.20g\n", d, u0);
printf("correct = %.20g, test = %.20g\n", mpfr_get_d(frx, GMP_RNDN), t);
fflush(stdout); ecnt++;
}
}

{
mpfr_set_d(frx, d, GMP_RNDN);
Expand Down
38 changes: 38 additions & 0 deletions src/libm-tester/tester2simdsp.c
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Original file line number Diff line number Diff line change
Expand Up @@ -643,6 +643,44 @@ int main(int argc,char **argv)
}
}

{
mpfr_set_d(frx, d, GMP_RNDN);
mpfr_sinh(frx, frx, GMP_RNDN);

double u0 = countULPsp(t = vget(xsinhf_u35(vd), e), frx);

if ((fabs(d) <= 88 && u0 > 3.5) ||
(d > 88 && !(u0 <= 3.5 || (isinf(t) && t > 0))) ||
(d < -88 && !(u0 <= 3.5 || (isinf(t) && t < 0)))) {
printf(ISANAME " sinhf_u35 arg=%.20g ulp=%.20g\n", d, u0);
fflush(stdout); ecnt++;
}
}

{
mpfr_set_d(frx, d, GMP_RNDN);
mpfr_cosh(frx, frx, GMP_RNDN);

double u0 = countULPsp(t = vget(xcoshf_u35(vd), e), frx);

if ((fabs(d) <= 88 && u0 > 3.5) || !(u0 <= 3.5 || (isinf(t) && t > 0))) {
printf(ISANAME " coshf_u35 arg=%.20g ulp=%.20g\n", d, u0);
fflush(stdout); ecnt++;
}
}

{
mpfr_set_d(frx, d, GMP_RNDN);
mpfr_tanh(frx, frx, GMP_RNDN);

double u0 = countULPsp(t = vget(xtanhf_u35(vd), e), frx);

if (u0 > 3.5) {
printf(ISANAME " tanhf_u35 arg=%.20g ulp=%.20g\n", d, u0);
fflush(stdout); ecnt++;
}
}

{
mpfr_set_d(frx, d, GMP_RNDN);
mpfr_asinh(frx, frx, GMP_RNDN);
Expand Down
38 changes: 38 additions & 0 deletions src/libm-tester/tester2sp.c
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Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -538,6 +538,44 @@ int main(int argc,char **argv)
fflush(stdout); ecnt++;
}
}

{
mpfr_set_d(frx, d, GMP_RNDN);
mpfr_sinh(frx, frx, GMP_RNDN);

double u0 = countULPsp(t = xsinhf_u35(d), frx);

if ((fabs(d) <= 88 && u0 > 3.5) ||
(d > 88 && !(u0 <= 3.5 || (isinf(t) && t > 0))) ||
(d < -88 && !(u0 <= 3.5 || (isinf(t) && t < 0)))) {
printf("Pure C sinhf_u35 arg=%.20g ulp=%.20g\n", d, u0);
fflush(stdout); ecnt++;
}
}

{
mpfr_set_d(frx, d, GMP_RNDN);
mpfr_cosh(frx, frx, GMP_RNDN);

double u0 = countULPsp(t = xcoshf_u35(d), frx);

if ((fabs(d) <= 88 && u0 > 3.5) || !(u0 <= 3.5 || (isinf(t) && t > 0))) {
printf("Pure C coshf_u35 arg=%.20g ulp=%.20g\n", d, u0);
fflush(stdout); ecnt++;
}
}

{
mpfr_set_d(frx, d, GMP_RNDN);
mpfr_tanh(frx, frx, GMP_RNDN);

double u0 = countULPsp(t = xtanhf_u35(d), frx);

if (u0 > 3.5) {
printf("Pure C tanhf_u35 arg=%.20g ulp=%.20g\n", d, u0);
fflush(stdout); ecnt++;
}
}

{
mpfr_set_d(frx, d, GMP_RNDN);
Expand Down
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