from linalg import mat3x3, vec2, vec3 import random import sys 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 # 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(3)] for _ in range(3)]) # test_mat = 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 = [e for e in dir(test_mat_copy) if e[:2] != '__' and e[0] == '_'] 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 element_name_list = [e for e in dir(test_mat_copy) if e[:2] != '__' and e[0] == '_'] for i, element in enumerate([getattr(test_mat_copy, e) for e in element_name_list]): assert [getattr(test_mat, e) for e in element_name_list][i] == element # test setzeros test_mat_copy = test_mat.copy() test_mat_copy.set_zeros() assert test_mat_copy == mat3x3([[0,0,0],[0,0,0],[0,0,0]]) # test set_ones test_mat_copy = test_mat.copy() test_mat_copy.set_ones() assert test_mat_copy == mat3x3([[1,1,1],[1,1,1],[1,1,1]]) # test set_identity test_mat_copy = test_mat.copy() test_mat_copy.set_identity() assert test_mat_copy == mat3x3([[1, 0, 0],[0, 1, 0],[0, 0, 1]]) # test __getitem__ element_name_list = [e for e in dir(test_mat) if e[:2] != '__' and e[0] == '_'] for i, element in enumerate([getattr(test_mat, e) for e in element_name_list]): assert test_mat.__getitem__((int(i/3), i%3)) == element # test __setitem__ test_mat_copy = test_mat.copy() element_name_list = [e for e in dir(test_mat_copy) if e[:2] != '__' and e[0] == '_'] for i, element in enumerate([getattr(test_mat_copy, e) for e in element_name_list]): test_mat_copy.__setitem__((int(i/3), i%3), list(range(9))[i]) assert test_mat_copy == mat3x3([[0,1,2], [3,4,5], [6,7,8]]) # test __add__ test_mat_copy = test_mat.copy() ones = mat3x3() ones.set_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.set_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.matmul(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() for i in range(3): for j in range(3): test_mat_copy[i, j] = test_mat[j, i] # # test __repr__ # test_mat_copy = test_mat.copy() # print(test_mat_copy[0,0]) # assert test_mat_copy.__repr__() == f'mat3x3([[{test_mat_copy[0,0].round(4)}, {test_mat_copy[1,0].round(4)}, {test_mat_copy[2,0].round(4)}],\n [{test_mat_copy[0,1].round(4)}, {test_mat_copy[1,1].round(4)}, {test_mat_copy[2,1].round(4)}],\n [{test_mat_copy[0,2].round(4)}, {test_mat_copy[1,2].round(4)}, {test_mat_copy[2,2].round(4)}]])'