mirror of
https://github.com/pocketpy/pocketpy
synced 2025-10-20 03:20:18 +00:00
470 lines
14 KiB
Python
470 lines
14 KiB
Python
from linalg import mat3x3, vec2, vec3, vec4
|
|
import random
|
|
import sys
|
|
import math
|
|
|
|
assert repr(math) == "<module 'math'>"
|
|
|
|
# 出于对精度转换的考虑,在本测试中具体将采用str(floating_num)[:6]来比较两个浮点数是否相等
|
|
|
|
# test vec2--------------------------------------------------------------------
|
|
|
|
def rotated_vec2(vec_2, radians: float):
|
|
cos_theta = math.cos(radians)
|
|
sin_theta = math.sin(radians)
|
|
new_x = vec_2.x * cos_theta - vec_2.y * sin_theta
|
|
new_y = vec_2.x * sin_theta + vec_2.y * cos_theta
|
|
return vec2(new_x, new_y)
|
|
|
|
# 生成随机测试目标
|
|
min_num = -10.0
|
|
max_num = 10.0
|
|
test_vec2 = vec2(*tuple([random.uniform(min_num, max_num) for _ in range(2)]))
|
|
test_vec2_2 = vec2(*tuple([random.uniform(min_num, max_num) for _ in range(2)]))
|
|
static_test_vec2_float = vec2(3.18, -1.09)
|
|
static_test_vec2_int = vec2(278, -1391)
|
|
|
|
# test __repr__
|
|
assert str(static_test_vec2_float).startswith('vec2(')
|
|
assert str(static_test_vec2_int).startswith('vec2(')
|
|
|
|
# test copy
|
|
element_name_list = [e for e in dir(test_vec2) if e in 'x,y,z,w']
|
|
element_value_list = [getattr(test_vec2, attr) for attr in element_name_list]
|
|
copy_element_value_list = [getattr(test_vec2.copy(), attr) for attr in element_name_list]
|
|
assert element_value_list == copy_element_value_list
|
|
|
|
# test rotate
|
|
test_vec2_copy = test_vec2.copy()
|
|
radians = random.uniform(-10*math.pi, 10*math.pi)
|
|
test_vec2_copy = rotated_vec2(test_vec2_copy, radians)
|
|
assert test_vec2.rotate(radians).__dict__ == test_vec2_copy.__dict__
|
|
|
|
# test smooth_damp
|
|
vel = vec2(0, 0)
|
|
ret = vec2.smooth_damp(vec2(1, 2), vec2(3, 4), vel, 7, 8, 9)
|
|
assert isinstance(ret, vec2)
|
|
assert vel.length() > 0
|
|
|
|
# test vec3--------------------------------------------------------------------
|
|
# 生成随机测试目标
|
|
min_num = -10.0
|
|
max_num = 10.0
|
|
test_vec3 = vec3(*tuple([random.uniform(min_num, max_num) for _ in range(3)]))
|
|
static_test_vec3_float = vec3(3.1886954323, -1098399.59932453432, 9.00000000000002765)
|
|
static_test_vec3_int = vec3(278, -13919730938747, 1364223456756456)
|
|
|
|
# test __repr__
|
|
assert str(static_test_vec3_float).startswith('vec3(')
|
|
assert str(static_test_vec3_int).startswith('vec3(')
|
|
|
|
# test copy
|
|
element_name_list = ['x', 'y', 'z']
|
|
element_value_list = [getattr(test_vec3, attr) for attr in element_name_list]
|
|
copy_element_value_list = [getattr(test_vec3.copy(), attr) for attr in element_name_list]
|
|
assert element_value_list == copy_element_value_list
|
|
|
|
# test vec4--------------------------------------------------------------------
|
|
# 生成随机测试目标
|
|
min_num = -10.0
|
|
max_num = 10.0
|
|
test_vec4 = vec4(*tuple([random.uniform(min_num, max_num) for _ in range(4)]))
|
|
static_test_vec4_float = vec4(3.1886954323, -1098399.59932453432, 9.00000000000002765, 4565400000000.0000000045)
|
|
static_test_vec4_int = vec4(278, -13919730938747, 1364223456756456, -37)
|
|
|
|
# test __repr__
|
|
assert str(static_test_vec4_float).startswith('vec4(')
|
|
assert str(static_test_vec4_int).startswith('vec4(')
|
|
|
|
# test copy
|
|
element_name_list = ['x', 'y', 'z', 'w']
|
|
element_value_list = [getattr(test_vec4, attr) for attr in element_name_list]
|
|
copy_element_value_list = [getattr(test_vec4.copy(), attr) for attr in element_name_list]
|
|
assert element_value_list == copy_element_value_list
|
|
|
|
|
|
# test mat3x3--------------------------------------------------------------------
|
|
def mat_to_str_list(mat):
|
|
ret = [[0,0,0], [0,0,0], [0,0,0]]
|
|
for i in range(3):
|
|
for j in range(3):
|
|
ret[i][j] = str(round(mat[i, j], 2))[:6]
|
|
return ret
|
|
|
|
def mat_list_to_str_list(mat_list):
|
|
ret = [[0,0,0], [0,0,0], [0,0,0]]
|
|
for i in range(3):
|
|
for j in range(3):
|
|
ret[i][j] = str(round(mat_list[i][j], 2))[:6]
|
|
return ret
|
|
|
|
def mat_to_list(mat):
|
|
ret = [[0,0,0], [0,0,0], [0,0,0]]
|
|
for i in range(3):
|
|
for j in range(3):
|
|
ret[i][j] = mat[i, j]
|
|
return ret
|
|
|
|
def mat_round(mat, pos):
|
|
'''
|
|
对mat的副本的每一个元素执行round(element, pos)，返回副本
|
|
用于校对元素是浮点数的矩阵
|
|
'''
|
|
ret = mat.copy()
|
|
|
|
for i, row in enumerate(ret):
|
|
for j, element in enumerate(row):
|
|
row[j] = round(element, pos)
|
|
ret[i] = row
|
|
|
|
return ret
|
|
|
|
def get_row(mat, row_index):
|
|
'''
|
|
返回mat的row_index行元素构成的列表
|
|
'''
|
|
ret = []
|
|
for i in range(3):
|
|
ret.append(mat[row_index, i])
|
|
return ret
|
|
|
|
def get_col(mat, col_index):
|
|
'''
|
|
返回mat的col_index列元素构成的列表
|
|
'''
|
|
ret = []
|
|
for i in range(3):
|
|
ret.append(mat[i, col_index])
|
|
return ret
|
|
|
|
def calculate_inverse(matrix):
|
|
'''
|
|
返回逆矩阵
|
|
'''
|
|
# 获取矩阵的行数和列数
|
|
rows = len(matrix)
|
|
cols = len(matrix[0])
|
|
# 确保矩阵是方阵
|
|
if rows != cols:
|
|
raise ValueError("输入矩阵必须是方阵")
|
|
# 构建单位矩阵
|
|
identity = [[1 if i == j else 0 for j in range(cols)] for i in range(rows)]
|
|
# 将单位矩阵与输入矩阵进行初等行变换
|
|
augmented_matrix = [row + identity[i] for i, row in enumerate(matrix)]
|
|
# 初等行变换，将输入矩阵转化为单位矩阵，同时在另一边进行相同的行变换
|
|
for i in range(cols):
|
|
pivot = augmented_matrix[i][i]
|
|
if pivot == 0:
|
|
raise ValueError("输入矩阵不可逆")
|
|
scale_row(augmented_matrix, i, 1/pivot)
|
|
for j in range(cols):
|
|
if j != i:
|
|
scale = augmented_matrix[j][i]
|
|
row_operation(augmented_matrix, j, i, -scale)
|
|
# 提取逆矩阵
|
|
inverse_matrix = [row[cols:] for row in augmented_matrix]
|
|
return inverse_matrix
|
|
|
|
def scale_row(matrix, row, scale):
|
|
matrix[row] = [element * scale for element in matrix[row]]
|
|
|
|
def row_operation(matrix, target_row, source_row, scale):
|
|
matrix[target_row] = [target_element + scale * source_element for target_element, source_element in zip(matrix[target_row], matrix[source_row])]
|
|
# 生成随机测试目标
|
|
min_num = -10.0
|
|
max_num = 10.0
|
|
test_mat = mat3x3([random.uniform(min_num, max_num) for _ in range(9)])
|
|
static_test_mat_float= mat3x3(
|
|
7.264189733952545, -5.432187523625671, 1.8765304152872613,
|
|
-2.4910524352374734, 8.989660807513068, -0.7168824333280513,
|
|
9.558042327611506, -3.336280256662496, 4.951381528057387
|
|
)
|
|
|
|
static_test_mat_float_inv = mat3x3( 0.32265243, 0.15808159, -0.09939472,
|
|
0.04199553, 0.13813096, 0.00408326,
|
|
-0.59454451, -0.21208362, 0.39658464)
|
|
|
|
static_test_mat_int = mat3x3([
|
|
1, 2, 3,
|
|
4, 5, 6,
|
|
7, 8, 9]
|
|
)
|
|
|
|
# test incorrect number of parameters is passed
|
|
for i in range(20):
|
|
|
|
if i in [0, 9]:
|
|
continue
|
|
|
|
try:
|
|
test_mat_copy = mat3x3(*tuple([e+0.1 for e in range(i)]))
|
|
|
|
# 既然参数数量不是合法的0个或9个,并且这里也没有触发TypeError,那么引发测试失败
|
|
print(f'When there are {i} arguments, no TypeError is triggered')
|
|
exit(1)
|
|
|
|
except TypeError:
|
|
pass
|
|
|
|
# test 9 floating parameters is passed
|
|
test_mat_copy = test_mat.copy()
|
|
element_name_list = []
|
|
for i in range(3):
|
|
for j in range(3):
|
|
element_name_list.append(f'_{i+1}{j+1}')
|
|
element_value_list = [getattr(test_mat, attr) for attr in element_name_list]
|
|
assert mat3x3(*tuple(element_value_list)) == test_mat
|
|
|
|
|
|
# test copy
|
|
test_mat_copy = test_mat.copy()
|
|
assert test_mat is not test_mat_copy
|
|
assert test_mat == test_mat_copy
|
|
|
|
# test __getitem__
|
|
for i, element in enumerate([getattr(test_mat, e) for e in element_name_list]):
|
|
assert test_mat[int(i/3), i%3] == element
|
|
|
|
try:
|
|
test_mat[1,2,3]
|
|
raise Exception('未能触发错误拦截, 此处应当报错 IndexError("index out of range")')
|
|
except:
|
|
pass
|
|
|
|
try:
|
|
test_mat[-1][4]
|
|
raise Exception('未能触发错误拦截, 此处应当报错 IndexError("index out of range")')
|
|
except:
|
|
pass
|
|
|
|
# test __setitem__
|
|
test_mat_copy = test_mat.copy()
|
|
for i, element in enumerate([getattr(test_mat_copy, e) for e in element_name_list]):
|
|
test_mat_copy[int(i/3), i%3] = list(range(9))[i]
|
|
assert test_mat_copy == mat3x3([0,1,2,
|
|
3,4,5,
|
|
6,7,8])
|
|
|
|
try:
|
|
test_mat[1,2,3] = 1
|
|
raise Exception('未能触发错误拦截, 此处应当报错 TypeError("Mat3x3.__setitem__ takes a tuple of 2 integers")')
|
|
except:
|
|
pass
|
|
|
|
try:
|
|
test_mat[-1][4] = 1
|
|
raise Exception('未能触发错误拦截, 此处应当报错 IndexError("index out of range")')
|
|
except:
|
|
pass
|
|
|
|
# test __add__
|
|
test_mat_copy = test_mat.copy()
|
|
ones = mat3x3.ones()
|
|
result_mat = test_mat_copy.__add__(ones)
|
|
correct_result_mat = test_mat_copy.copy()
|
|
for i in range(3):
|
|
for j in range(3):
|
|
correct_result_mat[i, j] += 1
|
|
assert result_mat == correct_result_mat
|
|
|
|
# test __sub__
|
|
test_mat_copy = test_mat.copy()
|
|
ones = mat3x3.ones()
|
|
result_mat = test_mat_copy.__sub__(ones)
|
|
correct_result_mat = test_mat_copy.copy()
|
|
for i in range(3):
|
|
for j in range(3):
|
|
correct_result_mat[i, j] -= 1
|
|
assert result_mat == correct_result_mat
|
|
|
|
# test __mul__
|
|
test_mat_copy = test_mat.copy()
|
|
result_mat = test_mat_copy.__mul__(12.345)
|
|
correct_result_mat = test_mat_copy.copy()
|
|
for i in range(3):
|
|
for j in range(3):
|
|
correct_result_mat[i, j] *= 12.345
|
|
# print(result_mat)
|
|
# print(correct_result_mat)
|
|
assert result_mat == correct_result_mat
|
|
|
|
|
|
# test matmul
|
|
test_mat_copy = test_mat.copy()
|
|
test_mat_copy_2 = test_mat.copy()
|
|
result_mat = test_mat_copy @ test_mat_copy_2
|
|
correct_result_mat = mat3x3()
|
|
for i in range(3):
|
|
for j in range(3):
|
|
correct_result_mat[i, j] = sum([e1*e2 for e1, e2 in zip(get_row(test_mat_copy, i), get_col(test_mat_copy_2, j))])
|
|
assert result_mat == correct_result_mat
|
|
|
|
# test determinant
|
|
test_mat_copy = test_mat.copy()
|
|
test_mat_copy.determinant()
|
|
|
|
# test __repr__
|
|
assert str(static_test_mat_float)
|
|
assert str(static_test_mat_int)
|
|
|
|
# test __truediv__
|
|
test_mat_copy = test_mat.copy()
|
|
result_mat = test_mat_copy.__truediv__(12.345)
|
|
correct_result_mat = test_mat_copy.copy()
|
|
for i in range(3):
|
|
for j in range(3):
|
|
correct_result_mat[i, j] /= 12.345
|
|
assert result_mat == correct_result_mat
|
|
|
|
|
|
|
|
# test __rmul__
|
|
test_mat_copy = test_mat.copy()
|
|
result_mat = 12.345 * test_mat_copy
|
|
correct_result_mat = test_mat_copy.copy()
|
|
for i in range(3):
|
|
for j in range(3):
|
|
correct_result_mat[i, j] *= 12.345
|
|
|
|
assert result_mat == correct_result_mat
|
|
|
|
|
|
# 此处测试不完全, 未验证正确性
|
|
# test interface of "@" "matmul" "__matmul__" with vec3 and error handling
|
|
test_mat_copy = test_mat.copy()
|
|
test_mat_copy @ vec3(83,-9.12, 0.2983)
|
|
try:
|
|
test_mat_copy @ 12345
|
|
raise Exception('未能拦截错误 BinaryOptError("@") 在处理表达式 test_mat_copy @ 12345')
|
|
except:
|
|
pass
|
|
|
|
|
|
# test transpose
|
|
test_mat_copy = test_mat.copy()
|
|
assert test_mat_copy.transpose() == test_mat_copy.transpose().transpose().transpose()
|
|
|
|
# test inverse
|
|
assert ~static_test_mat_float == static_test_mat_float_inv
|
|
assert static_test_mat_float.invert_() is None
|
|
assert static_test_mat_float == static_test_mat_float_inv
|
|
|
|
try:
|
|
~mat3x3([1, 2, 3, 2, 4, 6, 3, 6, 9])
|
|
raise Exception('未能拦截错误 ValueError("matrix is not invertible") 在 test_mat_copy 的行列式为0')
|
|
except ValueError:
|
|
pass
|
|
|
|
# test zeros
|
|
assert mat3x3([0 for _ in range(9)]) == mat3x3.zeros()
|
|
|
|
# test ones
|
|
assert mat3x3([1 for _ in range(9)]) == mat3x3.ones()
|
|
|
|
# test identity
|
|
assert mat3x3([1,0,0,0,1,0,0,0,1]) == mat3x3.identity()
|
|
|
|
|
|
# test affine transformations-----------------------------------------------
|
|
# test trs
|
|
def trs(t, radian, s):
|
|
cr = math.cos(radian)
|
|
sr = math.sin(radian)
|
|
elements = [[s[0] * cr, -s[1] * sr, t[0]],
|
|
[s[0] * sr, s[1] * cr, t[1]],
|
|
[0.0, 0.0, 1.0]]
|
|
return elements
|
|
|
|
test_vec2_copy = test_vec2.copy()
|
|
test_vec2_2_copy = test_vec2_2.copy()
|
|
|
|
test_vec2_list = [test_vec2_copy.x, test_vec2_copy.y]
|
|
test_vec2_2_list = [test_vec2_2_copy.x, test_vec2_2_copy.y]
|
|
|
|
radian = random.uniform(-10*math.pi, 10*math.pi)
|
|
|
|
assert mat_to_str_list(mat3x3.trs(test_vec2_copy, radian, test_vec2_2_copy)) == mat_list_to_str_list(trs(test_vec2_list, radian, test_vec2_2_list))
|
|
|
|
a = mat3x3.zeros()
|
|
a.copy_trs_(test_vec2_copy, radian, test_vec2_2_copy)
|
|
assert a == mat3x3.trs(test_vec2_copy, radian, test_vec2_2_copy)
|
|
|
|
# test is_affine
|
|
def mat_is_affine(mat_list):
|
|
return mat_list[2][0] == 0 and mat_list[2][1] == 0 and mat_list[2][2] == 1
|
|
|
|
# 通过random.unifrom的返回值不可能是整数0或1, 因此认为test_mat不可能is_affine
|
|
test_mat_copy = test_mat.copy()
|
|
assert test_mat_copy.is_affine() == mat_is_affine(mat_to_list(test_mat_copy))
|
|
|
|
test_mat_copy[2,0] = 0
|
|
test_mat_copy[2,1] = 0
|
|
test_mat_copy[2,2] = 1
|
|
assert test_mat_copy.is_affine() == mat_is_affine(mat_to_list(test_mat_copy))
|
|
|
|
|
|
# test translation
|
|
test_mat_copy = test_mat.copy()
|
|
assert test_mat_copy._t() == vec2(test_mat_copy[0, 2], test_mat_copy[1, 2])
|
|
|
|
# 该方法的测试未验证计算的准确性
|
|
# test rotation
|
|
test_mat_copy = test_mat.copy()
|
|
assert type(test_mat_copy._r()) is float
|
|
|
|
|
|
# test scale
|
|
test_mat_copy = test_mat.copy()
|
|
temp_vec2 = test_mat_copy._s()
|
|
|
|
# test transform_point
|
|
test_mat_copy = test_mat.copy()
|
|
test_mat_copy = test_mat.copy()
|
|
test_vec2_copy = test_vec2.copy()
|
|
temp_vec2 = test_mat_copy.transform_point(test_vec2_copy)
|
|
|
|
# test transform_vector
|
|
test_mat_copy = test_mat.copy()
|
|
test_mat_copy = test_mat.copy()
|
|
test_vec2_copy = test_vec2.copy()
|
|
temp_vec2 = test_mat_copy.transform_vector(test_vec2_copy)
|
|
|
|
import c
|
|
a = vec2(1, 2)
|
|
b = a.to_struct()
|
|
assert a.sizeof() == 8
|
|
assert b.sizeof() == 8
|
|
assert vec2.from_struct(b) == a
|
|
|
|
val = vec2.angle(vec2(-1, 0), vec2(0, -1))
|
|
assert 1.57 < val < 1.58
|
|
|
|
# test about staticmethod
|
|
class mymat3x3(mat3x3):
|
|
def f(self):
|
|
_0 = self.zeros()
|
|
_1 = super().zeros()
|
|
_2 = mat3x3.zeros()
|
|
return _0 == _1 == _2
|
|
|
|
assert mymat3x3().f()
|
|
|
|
|
|
# test assign
|
|
a = vec2(1, 2)
|
|
assert a.copy_(vec2(3, 4)) is None
|
|
assert a == vec2(3, 4)
|
|
|
|
b = vec3(1, 2, 3)
|
|
assert b.copy_(vec3(4, 5, 6)) is None
|
|
assert b == vec3(4, 5, 6)
|
|
|
|
c = vec4(1, 2, 3, 4)
|
|
assert c.copy_(vec4(5, 6, 7, 8)) is None
|
|
assert c == vec4(5, 6, 7, 8)
|
|
|
|
d = mat3x3.identity()
|
|
assert d.copy_(mat3x3.zeros()) is None
|
|
assert d == mat3x3.zeros()
|
|
|