PyAngle

A simple package for angle calculation

Use

install

pip install PyAngle

import

from PyAngle import *

class Angle

Designed especially for angle in the form of DMS(Degree, Minute and Second)

immutable object

default: public, non-static

import

from PyAngle.Angle import Angle

APIs

Creators

>>> a1 = Angle.from_dms(deg=30, min=20, sec=10)
>>> a2 = Angle.from_degrees(degrees=60)
>>> a3 = Angle.from_rad(rad=1.23)
>>> a4 = Angle.from_atan2(x=0.7, y=0.8)
>>> a5 = Angle.from_fmt_str(angle_str="1°2′3″", fmt="aaa°bbb′ccc″")
>>> a6 = Angle(a5)

• from_dms(deg, min=0, sec=0) -> Angle
• from_degrees(degrees) -> Angle
• from_rad(rad) -> Angle
• from_atan2(x, y) -> Angle
• from_fmt_str(angle_str, fmt)

Operators

>>> str(a1 + a2)
'90 20 10.00'
>>> str(a3 % a4)
'21 39 35.04'
>>> angle_list = [a1, a2, a3, a4]
>>> angle_list.sort(reverse=True)
>>> angle_list
[<PyAngle.Angle.Angle object at 0x0000020C195FD0F0>, <PyAngle.Angle.Angle object at 0x0000020C19521B38>, <PyAngle.Angle.Angle object at 0x0000020C195FD860>, <PyAngle.Angle.Angle object at 0x0000020C195D6EF0>]
>>> a3 > a4
True

• __add__(self, other): "+"
• __sub__(self, other): "-"
• __mul__(self, n): "*"
• __truediv__(self, n): "/"
• __floordiv__(self, n): "//"
• __mod__(self, other): "%"
• __str__(self)
• __cmp__(self, other)
• __eq__(self, other): "=="
• __ne__(self, other): "!="
• __le__(self, other): "<="
• __lt__(self, other): "<"
• __ge__(self, other): ">="
• __gt__(self, other): ">"
• __hash__(self)

Calculators

>>> a2.sin()
0.8660254037844386

• sin() -> float
• cos() -> float
• tan() -> float

Getters

>>> a4.get_deg()
48
>>> a4.get_sec()
50.66940344529314

• get_deg() -> int
• get_min() -> int
• get_sec() -> float

Switchers

>>> [x.to_degrees() for x in angle_list]
[70.47380880109125, 60.0, 48.81407483429036, 30.336111111111112]
>>> a1.to_atan2(x=1)
(1, 0.5851986012863108)
>>> a3.to_fmt_str()
'70°28′25.71″'

• to_degrees() -> float
• to_rad() -> float
• to_atan2(x=None, y=None) -> (float, float)
• to_fmt_str(fmt="xxx°xxx′xxx″", decimal=2) -> str

Judges

>>> a3.is_acute_angle()
True

• is_zero_angle() -> bool: 零角
• is_acute_angle() -> bool: 锐角
• is_right_angle() -> bool: 直角
• is_obtuse_angle() -> bool: 钝角
• is_straight_angle() -> bool: 平角
• is_major_angle() -> bool: 优角
• is_minor_angle() -> bool: 劣角
• is_complementary_angle_with(other) -> bool: 余角
• is_supplementary_angle_with(other) -> bool: 补角

module AngleListAPIs

import

from PyAngle.AngleListAPIs import *

APIs

>>> AngleListAPIs.from_angle_list_to_atan2_list(angle_list)
[(0.3342377271245026, 0.9424888019316975), (0.5000000000000001, 0.8660254037844386), (0.658504607868518, 0.7525766947068778), (0.8630773966838536, 0.5050716853412216)]
>>> AngleListAPIs.from_rad_list_to_angle_list([1.23, 1.0471975511965976, 0.8519663271732721, 0.5294650211397243])
[<PyAngle.Angle.Angle object at 0x0000028ED1910DD8>, <PyAngle.Angle.Angle object at 0x0000028ED1910E48>, <PyAngle.Angle.Angle object at 0x0000028ED1910EB8>, <PyAngle.Angle.Angle object at 0x0000028ED1910F28>]

• from_atan2_list_to_angle_list(angles: [(float, float)]) -> ["Angle"]
• from_degrees_list_to_angle_list(angles: [float]) -> ["Angle"]
• from_rad_list_to_angle_list(angles: [float]) -> ["Angle"]
• from_angle_list_to_atan2_list(angles: ["Angle"]) -> [(float, float)]
• from_angle_list_to_degrees_list(angles: ["Angle"]) -> [float]
• from_angle_list_to_rad_list(angles: ["Angle"]) -> [float]

# When needed to switch within atan2, degrees and rad, switch via angle list
>>> degrees_list = [1.2, 3.4, 5.6, 7.8, 9.0]
>>> atan2_list = AngleListAPIs.from_angle_list_to_atan2_list(AngleListAPIs.from_degrees_list_to_angle_list(degrees_list))
>>> atan2_list
[(0.9997806834748455, 0.020942419883356957), (0.9982398279237653, 0.05930637357596162), (0.9952273999818312, 0.09758289975914947), (0.9907478404714436, 0.13571557243430438), (0.9876883405951378, 0.15643446504023087)]

• get_nearest_angle(angle: "Angle", angles: ["Angle"]) -> "Angle": 在angles中找到与angle最近的角
• get_furthest_angle(angle: "Angle", angles: ["Angle"]) -> "Angle": 在angles中找到与angle最远的角

>>> nearest_angle = get_nearest_angle(angle, angles)

class UnlimitedAngle

degrees ranges [-∞, +∞] (without restrict)

import

from PyAngle.UnlimitedAngle import UnlimitedAngle

• to_Angle(): switch UnlimitedAngle into Angle

>>> ua1 = UnlimitedAngle.from_degrees(degrees=1000)
>>> ua2 = UnlimitedAngle.from_degrees(degrees=-1000)
>>> ua3 = UnlimitedAngle(ua1)
>>> ua4 = UnlimitedAngle(Angle(UnlimitedAngle(ua2)))

Future Features

2.7

convert relation between Angle & UnlimitedAngle

• UnlimitedAngle to be base class
• Angle to be derived class

Rename UnlimitedAngle as BaseAngle, features remained

• Provide __adjust() for derived class (empty at first)

3.0 Beta

• Modify import PyAngle as import pyangle

Global Coordinates

Plot

Draw Angle on Axis

• plot(length, origin=(0, 0), base_angle=Angle.from_degrees(degrees=0), counter_clock_wise=True)