/usr/lib/python2.7/dist-packages/mpmath/tests/test_matrices.py is in python-mpmath 0.19-3.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 | from mpmath import *
def test_matrix_basic():
A1 = matrix(3)
for i in range(3):
A1[i,i] = 1
assert A1 == eye(3)
assert A1 == matrix(A1)
A2 = matrix(3, 2)
assert not A2._matrix__data
A3 = matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]])
assert list(A3) == list(range(1, 10))
A3[1,1] = 0
assert not (1, 1) in A3._matrix__data
A4 = matrix([[1, 2, 3], [4, 5, 6]])
A5 = matrix([[6, -1], [3, 2], [0, -3]])
assert A4 * A5 == matrix([[12, -6], [39, -12]])
assert A1 * A3 == A3 * A1 == A3
try:
A2 * A2
assert False
except ValueError:
pass
l = [[10, 20, 30], [40, 0, 60], [70, 80, 90]]
A6 = matrix(l)
assert A6.tolist() == l
assert A6 == eval(repr(A6))
A6 = matrix(A6, force_type=float)
assert A6 == eval(repr(A6))
assert A6*1j == eval(repr(A6*1j))
assert A3 * 10 == 10 * A3 == A6
assert A2.rows == 3
assert A2.cols == 2
A3.rows = 2
A3.cols = 2
assert len(A3._matrix__data) == 3
assert A4 + A4 == 2*A4
try:
A4 + A2
except ValueError:
pass
assert sum(A1 - A1) == 0
A7 = matrix([[1, 2], [3, 4], [5, 6], [7, 8]])
x = matrix([10, -10])
assert A7*x == matrix([-10, -10, -10, -10])
A8 = ones(5)
assert sum((A8 + 1) - (2 - zeros(5))) == 0
assert (1 + ones(4)) / 2 - 1 == zeros(4)
assert eye(3)**10 == eye(3)
try:
A7**2
assert False
except ValueError:
pass
A9 = randmatrix(3)
A10 = matrix(A9)
A9[0,0] = -100
assert A9 != A10
assert nstr(A9)
def test_matrix_slices():
A = matrix([ [1, 2, 3],
[4, 5 ,6],
[7, 8 ,9]])
V = matrix([1,2,3,4,5])
# Get slice
assert A[:,:] == A
assert A[:,1] == matrix([[2],[5],[8]])
assert A[2,:] == matrix([[7, 8 ,9]])
assert A[1:3,1:3] == matrix([[5,6],[8,9]])
assert V[2:4] == matrix([3,4])
try:
A6 = A[:,1:6]
assert False
except IndexError:
pass
# Assign slice with matrix
A1 = matrix(3)
A1[:,:] = A
assert A1[:,:] == matrix([[1, 2, 3],
[4, 5 ,6],
[7, 8 ,9]])
A1[0,:] = matrix([[10, 11, 12]])
assert A1 == matrix([ [10, 11, 12],
[4, 5 ,6],
[7, 8 ,9]])
A1[:,2] = matrix([[13], [14], [15]])
assert A1 == matrix([ [10, 11, 13],
[4, 5 ,14],
[7, 8 ,15]])
A1[:2,:2] = matrix([[16, 17], [18 , 19]])
assert A1 == matrix([ [16, 17, 13],
[18, 19 ,14],
[7, 8 ,15]])
V[1:3] = 10
assert V == matrix([1,10,10,4,5])
try:
A1[2,:] = A[:,1]
assert False
except ValueError:
pass
try:
A1[2,1:20] = A[:,:]
assert False
except IndexError:
pass
# Assign slice with scalar
A1[:,2] = 10
assert A1 == matrix([ [16, 17, 10],
[18, 19 ,10],
[7, 8 ,10]])
A1[:,:] = 40
for x in A1:
assert x == 40
def test_matrix_power():
A = matrix([[1, 2], [3, 4]])
assert A**2 == A*A
assert A**3 == A*A*A
assert A**-1 == inverse(A)
assert A**-2 == inverse(A*A)
def test_matrix_transform():
A = matrix([[1, 2], [3, 4], [5, 6]])
assert A.T == A.transpose() == matrix([[1, 3, 5], [2, 4, 6]])
swap_row(A, 1, 2)
assert A == matrix([[1, 2], [5, 6], [3, 4]])
l = [1, 2]
swap_row(l, 0, 1)
assert l == [2, 1]
assert extend(eye(3), [1,2,3]) == matrix([[1,0,0,1],[0,1,0,2],[0,0,1,3]])
def test_matrix_conjugate():
A = matrix([[1 + j, 0], [2, j]])
assert A.conjugate() == matrix([[mpc(1, -1), 0], [2, mpc(0, -1)]])
assert A.transpose_conj() == A.H == matrix([[mpc(1, -1), 2],
[0, mpc(0, -1)]])
def test_matrix_creation():
assert diag([1, 2, 3]) == matrix([[1, 0, 0], [0, 2, 0], [0, 0, 3]])
A1 = ones(2, 3)
assert A1.rows == 2 and A1.cols == 3
for a in A1:
assert a == 1
A2 = zeros(3, 2)
assert A2.rows == 3 and A2.cols == 2
for a in A2:
assert a == 0
assert randmatrix(10) != randmatrix(10)
one = mpf(1)
assert hilbert(3) == matrix([[one, one/2, one/3],
[one/2, one/3, one/4],
[one/3, one/4, one/5]])
def test_norms():
# matrix norms
A = matrix([[1, -2], [-3, -1], [2, 1]])
assert mnorm(A,1) == 6
assert mnorm(A,inf) == 4
assert mnorm(A,'F') == sqrt(20)
# vector norms
assert norm(-3) == 3
x = [1, -2, 7, -12]
assert norm(x, 1) == 22
assert round(norm(x, 2), 10) == 14.0712472795
assert round(norm(x, 10), 10) == 12.0054633727
assert norm(x, inf) == 12
def test_vector():
x = matrix([0, 1, 2, 3, 4])
assert x == matrix([[0], [1], [2], [3], [4]])
assert x[3] == 3
assert len(x._matrix__data) == 4
assert list(x) == list(range(5))
x[0] = -10
x[4] = 0
assert x[0] == -10
assert len(x) == len(x.T) == 5
assert x.T*x == matrix([[114]])
def test_matrix_copy():
A = ones(6)
B = A.copy()
assert A == B
B[0,0] = 0
assert A != B
def test_matrix_numpy():
try:
import numpy
except ImportError:
return
l = [[1, 2], [3, 4], [5, 6]]
a = numpy.matrix(l)
assert matrix(l) == matrix(a)
|