mirror of
https://github.com/pocketpy/pocketpy
synced 2025-10-30 16:30:16 +00:00
470 lines
15 KiB
Python
470 lines
15 KiB
Python
from linalg import mat3x3, vec2, vec3, vec4
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import random
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import sys
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import math
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assert repr(math) == "<module 'math'>"
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# 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
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# test vec2--------------------------------------------------------------------
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def rotated_vec2(vec_2, radians: float):
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cos_theta = math.cos(radians)
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sin_theta = math.sin(radians)
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new_x = vec_2.x * cos_theta - vec_2.y * sin_theta
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new_y = vec_2.x * sin_theta + vec_2.y * cos_theta
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return vec2(new_x, new_y)
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# 生成随机测试目标
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min_num = -10.0
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max_num = 10.0
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test_vec2 = vec2(*tuple([random.uniform(min_num, max_num) for _ in range(2)]))
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test_vec2_2 = vec2(*tuple([random.uniform(min_num, max_num) for _ in range(2)]))
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static_test_vec2_float = vec2(3.1886954323, -1098399.59932453432)
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static_test_vec2_int = vec2(278, -13919730938747)
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# test __repr__
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assert str(static_test_vec2_float) == 'vec2(3.1887, -1.0984e+06)'
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assert str(static_test_vec2_int) == 'vec2(278, -1.39197e+13)'
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# test copy
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element_name_list = [e for e in dir(test_vec2) if e in 'x,y,z,w']
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element_value_list = [getattr(test_vec2, attr) for attr in element_name_list]
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copy_element_value_list = [getattr(test_vec2.copy(), attr) for attr in element_name_list]
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assert element_value_list == copy_element_value_list
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# test rotate
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test_vec2_copy = test_vec2.copy()
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radians = random.uniform(-10*math.pi, 10*math.pi)
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test_vec2_copy = rotated_vec2(test_vec2_copy, radians)
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assert test_vec2.rotate(radians).__dict__ == test_vec2_copy.__dict__
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# test rotate_
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a = test_vec2.rotate(0.7)
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assert a is not test_vec2
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b = test_vec2.rotate_(0.7)
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assert b is None
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assert a == test_vec2
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# test vec3--------------------------------------------------------------------
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# 生成随机测试目标
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min_num = -10.0
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max_num = 10.0
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test_vec3 = vec3(*tuple([random.uniform(min_num, max_num) for _ in range(3)]))
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static_test_vec3_float = vec3(3.1886954323, -1098399.59932453432, 9.00000000000002765)
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static_test_vec3_int = vec3(278, -13919730938747, 1364223456756456)
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# test __repr__
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assert str(static_test_vec3_float) == 'vec3(3.1887, -1.0984e+06, 9)'
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assert str(static_test_vec3_int) == 'vec3(278, -1.39197e+13, 1.36422e+15)'
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# test __getnewargs__
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element_name_list = [e for e in dir(test_vec3) if e in 'x,y,z,w']
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element_value_list = [getattr(test_vec3, attr) for attr in element_name_list]
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assert tuple(element_value_list) == test_vec3.__getnewargs__()
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# test copy
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element_name_list = [e for e in dir(test_vec3) if e in 'x,y,z,w']
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element_value_list = [getattr(test_vec3, attr) for attr in element_name_list]
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copy_element_value_list = [getattr(test_vec3.copy(), attr) for attr in element_name_list]
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assert element_value_list == copy_element_value_list
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# test vec4--------------------------------------------------------------------
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# 生成随机测试目标
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min_num = -10.0
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max_num = 10.0
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test_vec4 = vec4(*tuple([random.uniform(min_num, max_num) for _ in range(4)]))
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static_test_vec4_float = vec4(3.1886954323, -1098399.59932453432, 9.00000000000002765, 4565400000000.0000000045)
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static_test_vec4_int = vec4(278, -13919730938747, 1364223456756456, -37)
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# test __repr__
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assert str(static_test_vec4_float) == 'vec4(3.1887, -1.0984e+06, 9, 4.5654e+12)'
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assert str(static_test_vec4_int) == 'vec4(278, -1.39197e+13, 1.36422e+15, -37)'
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# test __getnewargs__
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element_name_list = [e for e in dir(test_vec4) if e in 'x,y,z,w']
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element_value_list = [getattr(test_vec4, attr) for attr in element_name_list]
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assert tuple(element_value_list) == test_vec4.__getnewargs__()
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# test copy
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element_name_list = [e for e in dir(test_vec4) if e in 'x,y,z,w']
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element_value_list = [getattr(test_vec4, attr) for attr in element_name_list]
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copy_element_value_list = [getattr(test_vec4.copy(), attr) for attr in element_name_list]
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assert element_value_list == copy_element_value_list
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# test mat3x3--------------------------------------------------------------------
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def mat_to_str_list(mat):
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ret = [[0,0,0], [0,0,0], [0,0,0]]
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for i in range(3):
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for j in range(3):
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ret[i][j] = str(round(mat[i, j], 2))[:6]
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return ret
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def mat_list_to_str_list(mat_list):
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ret = [[0,0,0], [0,0,0], [0,0,0]]
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for i in range(3):
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for j in range(3):
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ret[i][j] = str(round(mat_list[i][j], 2))[:6]
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return ret
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def mat_to_list(mat):
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ret = [[0,0,0], [0,0,0], [0,0,0]]
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for i in range(3):
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for j in range(3):
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ret[i][j] = mat[i, j]
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return ret
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def mat_round(mat, pos):
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'''
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对mat的副本的每一个元素执行round(element, pos)，返回副本
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用于校对元素是浮点数的矩阵
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'''
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ret = mat.copy()
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for i, row in enumerate(ret):
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for j, element in enumerate(row):
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row[j] = round(element, pos)
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ret[i] = row
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return ret
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def get_row(mat, row_index):
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'''
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返回mat的row_index行元素构成的列表
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'''
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ret = []
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for i in range(3):
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ret.append(mat[row_index, i])
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return ret
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def get_col(mat, col_index):
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'''
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返回mat的col_index列元素构成的列表
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'''
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ret = []
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for i in range(3):
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ret.append(mat[i, col_index])
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return ret
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def calculate_inverse(matrix):
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'''
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返回逆矩阵
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'''
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# 获取矩阵的行数和列数
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rows = len(matrix)
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cols = len(matrix[0])
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# 确保矩阵是方阵
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if rows != cols:
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raise ValueError("输入矩阵必须是方阵")
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# 构建单位矩阵
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identity = [[1 if i == j else 0 for j in range(cols)] for i in range(rows)]
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# 将单位矩阵与输入矩阵进行初等行变换
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augmented_matrix = [row + identity[i] for i, row in enumerate(matrix)]
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# 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
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for i in range(cols):
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pivot = augmented_matrix[i][i]
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if pivot == 0:
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raise ValueError("输入矩阵不可逆")
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scale_row(augmented_matrix, i, 1/pivot)
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for j in range(cols):
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if j != i:
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scale = augmented_matrix[j][i]
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row_operation(augmented_matrix, j, i, -scale)
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# 提取逆矩阵
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inverse_matrix = [row[cols:] for row in augmented_matrix]
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return inverse_matrix
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def scale_row(matrix, row, scale):
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matrix[row] = [element * scale for element in matrix[row]]
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def row_operation(matrix, target_row, source_row, scale):
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matrix[target_row] = [target_element + scale * source_element for target_element, source_element in zip(matrix[target_row], matrix[source_row])]
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# 生成随机测试目标
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min_num = -10.0
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max_num = 10.0
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test_mat = mat3x3([[random.uniform(min_num, max_num) for _ in range(3)] for _ in range(3)])
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static_test_mat_float= mat3x3([
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[7.264189733952545, -5.432187523625671, 1.8765304152872613],
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[-2.4910524352374734, 8.989660807513068, -0.7168824333280513],
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[9.558042327611506, -3.336280256662496, 4.951381528057387]]
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)
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static_test_mat_float_inv = mat3x3([[ 0.32265243, 0.15808159, -0.09939472],
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[ 0.04199553, 0.13813096, 0.00408326],
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[-0.59454451, -0.21208362, 0.39658464]])
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static_test_mat_int = mat3x3([
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[1, 2, 3],
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[4, 5, 6],
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[7, 8, 9]]
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)
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# test incorrect number of parameters is passed
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for i in range(20):
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if i in [0, 9]:
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continue
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try:
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test_mat_copy = mat3x3(*tuple([e+0.1 for e in range(i)]))
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# 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
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print(f'When there are {i} arguments, no TypeError is triggered')
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exit(1)
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except TypeError:
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pass
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# test 9 floating parameters is passed
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test_mat_copy = test_mat.copy()
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element_name_list = []
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for i in range(3):
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for j in range(3):
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element_name_list.append(f'_{i+1}{j+1}')
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element_value_list = [getattr(test_mat, attr) for attr in element_name_list]
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assert mat3x3(*tuple(element_value_list)) == test_mat
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# test copy
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test_mat_copy = test_mat.copy()
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assert test_mat is not test_mat_copy
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assert test_mat == test_mat_copy
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# test setzeros
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test_mat_copy = test_mat.copy()
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test_mat_copy.set_zeros()
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assert test_mat_copy == mat3x3([[0,0,0],[0,0,0],[0,0,0]])
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# test set_ones
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test_mat_copy = test_mat.copy()
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test_mat_copy.set_ones()
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assert test_mat_copy == mat3x3([[1,1,1],[1,1,1],[1,1,1]])
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# test set_identity
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test_mat_copy = test_mat.copy()
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test_mat_copy.set_identity()
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assert test_mat_copy == mat3x3([[1, 0, 0],[0, 1, 0],[0, 0, 1]])
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# test __getitem__
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for i, element in enumerate([getattr(test_mat, e) for e in element_name_list]):
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assert test_mat[int(i/3), i%3] == element
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try:
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test_mat[1,2,3]
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raise Exception('未能触发错误拦截, 此处应当报错 IndexError("index out of range")')
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except:
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pass
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try:
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test_mat[-1][4]
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raise Exception('未能触发错误拦截, 此处应当报错 IndexError("index out of range")')
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except:
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pass
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# test __setitem__
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test_mat_copy = test_mat.copy()
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for i, element in enumerate([getattr(test_mat_copy, e) for e in element_name_list]):
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test_mat_copy[int(i/3), i%3] = list(range(9))[i]
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assert test_mat_copy == mat3x3([[0,1,2], [3,4,5], [6,7,8]])
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try:
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test_mat[1,2,3] = 1
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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")')
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except:
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pass
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try:
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test_mat[-1][4] = 1
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raise Exception('未能触发错误拦截, 此处应当报错 IndexError("index out of range")')
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except:
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pass
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# test __add__
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test_mat_copy = test_mat.copy()
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ones = mat3x3()
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ones.set_ones()
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result_mat = test_mat_copy.__add__(ones)
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correct_result_mat = test_mat_copy.copy()
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for i in range(3):
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for j in range(3):
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correct_result_mat[i, j] += 1
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assert result_mat == correct_result_mat
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# test __sub__
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test_mat_copy = test_mat.copy()
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ones = mat3x3()
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ones.set_ones()
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result_mat = test_mat_copy.__sub__(ones)
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correct_result_mat = test_mat_copy.copy()
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for i in range(3):
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for j in range(3):
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correct_result_mat[i, j] -= 1
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assert result_mat == correct_result_mat
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# test __mul__
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test_mat_copy = test_mat.copy()
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result_mat = test_mat_copy.__mul__(12.345)
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correct_result_mat = test_mat_copy.copy()
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for i in range(3):
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for j in range(3):
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correct_result_mat[i, j] *= 12.345
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# print(result_mat)
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# print(correct_result_mat)
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assert result_mat == correct_result_mat
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# test matmul
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test_mat_copy = test_mat.copy()
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test_mat_copy_2 = test_mat.copy()
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result_mat = test_mat_copy @ test_mat_copy_2
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correct_result_mat = mat3x3()
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for i in range(3):
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for j in range(3):
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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))])
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assert result_mat == correct_result_mat
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# test determinant
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test_mat_copy = test_mat.copy()
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list_mat = [[0,0,0], [0,0,0], [0,0,0]]
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for i in range(3):
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for j in range(3):
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list_mat[i][j] = test_mat[i, j]
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determinant = list_mat[0][0]*(list_mat[1][1]*list_mat[2][2] - list_mat[1][2]*list_mat[2][1]) - list_mat[0][1]*(list_mat[1][0]*list_mat[2][2] - list_mat[1][2]*list_mat[2][0]) + list_mat[0][2]*(list_mat[1][0]*list_mat[2][1] - list_mat[1][1]*list_mat[2][0])
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assert str(determinant)[:6] == str(test_mat_copy.determinant())[:6]
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# test __repr__
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assert str(static_test_mat_float) == 'mat3x3([[7.2642, -5.4322, 1.8765],\n [-2.4911, 8.9897, -0.7169],\n [9.5580, -3.3363, 4.9514]])'
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assert str(static_test_mat_int) == 'mat3x3([[1.0000, 2.0000, 3.0000],\n [4.0000, 5.0000, 6.0000],\n [7.0000, 8.0000, 9.0000]])'
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# test __getnewargs__
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test_mat_copy = test_mat.copy()
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element_value_list = [getattr(test_mat, attr) for attr in element_name_list]
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assert tuple(element_value_list) == test_mat.__getnewargs__()
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# test __truediv__
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test_mat_copy = test_mat.copy()
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result_mat = test_mat_copy.__truediv__(12.345)
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correct_result_mat = test_mat_copy.copy()
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for i in range(3):
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for j in range(3):
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correct_result_mat[i, j] /= 12.345
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assert result_mat == correct_result_mat
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# test __rmul__
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test_mat_copy = test_mat.copy()
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result_mat = 12.345 * test_mat_copy
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correct_result_mat = test_mat_copy.copy()
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for i in range(3):
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for j in range(3):
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correct_result_mat[i, j] *= 12.345
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assert result_mat == correct_result_mat
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# 此处测试不完全, 未验证正确性
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# test interface of "@" "matmul" "__matmul__" with vec3 and error handling
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test_mat_copy = test_mat.copy()
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test_mat_copy @ vec3(83,-9.12, 0.2983)
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try:
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test_mat_copy @ 12345
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raise Exception('未能拦截错误 BinaryOptError("@") 在处理表达式 test_mat_copy @ 12345')
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except:
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pass
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# test transpose
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test_mat_copy = test_mat.copy()
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assert test_mat_copy.transpose() == test_mat_copy.transpose().transpose().transpose()
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# test inverse
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assert ~static_test_mat_float == static_test_mat_float_inv
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try:
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mat3x3([[1, 2, 3], [2, 4, 6], [3, 6, 9]]).inverse()
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raise Exception('未能拦截错误 ValueError("matrix is not invertible") 在 test_mat_copy 的行列式为0')
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except:
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pass
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try:
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~mat3x3([[1, 2, 3], [2, 4, 6], [3, 6, 9]])
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raise Exception('未能拦截错误 ValueError("matrix is not invertible") 在 test_mat_copy 的行列式为0')
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except:
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pass
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# test zeros
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assert mat3x3([[0 for _ in range(3)] for _ in range(3)]) == mat3x3.zeros()
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# test ones
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assert mat3x3([[1 for _ in range(3)] for _ in range(3)]) == mat3x3.ones()
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# test identity
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assert mat3x3([[1,0,0],[0,1,0],[0,0,1]]) == mat3x3.identity()
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# test affine transformations-----------------------------------------------
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# test trs
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def trs(t, radian, s):
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cr = math.cos(radian)
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sr = math.sin(radian)
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elements = [[s[0] * cr, -s[1] * sr, t[0]],
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[s[0] * sr, s[1] * cr, t[1]],
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[0.0, 0.0, 1.0]]
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return elements
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test_vec2_copy = test_vec2.copy()
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test_vec2_2_copy = test_vec2_2.copy()
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test_vec2_list = [test_vec2_copy.x, test_vec2_copy.y]
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test_vec2_2_list = [test_vec2_2_copy.x, test_vec2_2_copy.y]
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|
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radian = random.uniform(-10*math.pi, 10*math.pi)
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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))
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|
|
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# test is_affine
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def mat_is_affine(mat_list):
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return mat_list[2][0] == 0 and mat_list[2][1] == 0 and mat_list[2][2] == 1
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|
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# 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
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test_mat_copy = test_mat.copy()
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assert test_mat_copy.is_affine() == mat_is_affine(mat_to_list(test_mat_copy))
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|
|
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test_mat_copy[2,0] = 0
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test_mat_copy[2,1] = 0
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test_mat_copy[2,2] = 1
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assert test_mat_copy.is_affine() == mat_is_affine(mat_to_list(test_mat_copy))
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|
|
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# test translation
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test_mat_copy = test_mat.copy()
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assert test_mat_copy._t() == vec2(test_mat_copy[0, 2], test_mat_copy[1, 2])
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|
|
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# 该方法的测试未验证计算的准确性
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|
# test rotation
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|
test_mat_copy = test_mat.copy()
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assert type(test_mat_copy._r()) is float
|
|
|
|
|
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# test scale
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|
test_mat_copy = test_mat.copy()
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temp_vec2 = test_mat_copy._s()
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|
|
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# test transform_point
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|
test_mat_copy = test_mat.copy()
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|
test_mat_copy = test_mat.copy()
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test_vec2_copy = test_vec2.copy()
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temp_vec2 = test_mat_copy.transform_point(test_vec2_copy)
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|
|
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# test transform_vector
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|
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) |