Spaces:
Sleeping
Sleeping
File size: 4,877 Bytes
6a86ad5 |
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 |
from sympy.matrices.sparsetools import _doktocsr, _csrtodok, banded
from sympy.matrices.dense import (Matrix, eye, ones, zeros)
from sympy.matrices import SparseMatrix
from sympy.testing.pytest import raises
def test_doktocsr():
a = SparseMatrix([[1, 2, 0, 0], [0, 3, 9, 0], [0, 1, 4, 0]])
b = SparseMatrix(4, 6, [10, 20, 0, 0, 0, 0, 0, 30, 0, 40, 0, 0, 0, 0, 50,
60, 70, 0, 0, 0, 0, 0, 0, 80])
c = SparseMatrix(4, 4, [0, 0, 0, 0, 0, 12, 0, 2, 15, 0, 12, 0, 0, 0, 0, 4])
d = SparseMatrix(10, 10, {(1, 1): 12, (3, 5): 7, (7, 8): 12})
e = SparseMatrix([[0, 0, 0], [1, 0, 2], [3, 0, 0]])
f = SparseMatrix(7, 8, {(2, 3): 5, (4, 5):12})
assert _doktocsr(a) == [[1, 2, 3, 9, 1, 4], [0, 1, 1, 2, 1, 2],
[0, 2, 4, 6], [3, 4]]
assert _doktocsr(b) == [[10, 20, 30, 40, 50, 60, 70, 80],
[0, 1, 1, 3, 2, 3, 4, 5], [0, 2, 4, 7, 8], [4, 6]]
assert _doktocsr(c) == [[12, 2, 15, 12, 4], [1, 3, 0, 2, 3],
[0, 0, 2, 4, 5], [4, 4]]
assert _doktocsr(d) == [[12, 7, 12], [1, 5, 8],
[0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3], [10, 10]]
assert _doktocsr(e) == [[1, 2, 3], [0, 2, 0], [0, 0, 2, 3], [3, 3]]
assert _doktocsr(f) == [[5, 12], [3, 5], [0, 0, 0, 1, 1, 2, 2, 2], [7, 8]]
def test_csrtodok():
h = [[5, 7, 5], [2, 1, 3], [0, 1, 1, 3], [3, 4]]
g = [[12, 5, 4], [2, 4, 2], [0, 1, 2, 3], [3, 7]]
i = [[1, 3, 12], [0, 2, 4], [0, 2, 3], [2, 5]]
j = [[11, 15, 12, 15], [2, 4, 1, 2], [0, 1, 1, 2, 3, 4], [5, 8]]
k = [[1, 3], [2, 1], [0, 1, 1, 2], [3, 3]]
m = _csrtodok(h)
assert isinstance(m, SparseMatrix)
assert m == SparseMatrix(3, 4,
{(0, 2): 5, (2, 1): 7, (2, 3): 5})
assert _csrtodok(g) == SparseMatrix(3, 7,
{(0, 2): 12, (1, 4): 5, (2, 2): 4})
assert _csrtodok(i) == SparseMatrix([[1, 0, 3, 0, 0], [0, 0, 0, 0, 12]])
assert _csrtodok(j) == SparseMatrix(5, 8,
{(0, 2): 11, (2, 4): 15, (3, 1): 12, (4, 2): 15})
assert _csrtodok(k) == SparseMatrix(3, 3, {(0, 2): 1, (2, 1): 3})
def test_banded():
raises(TypeError, lambda: banded())
raises(TypeError, lambda: banded(1))
raises(TypeError, lambda: banded(1, 2))
raises(TypeError, lambda: banded(1, 2, 3))
raises(TypeError, lambda: banded(1, 2, 3, 4))
raises(ValueError, lambda: banded({0: (1, 2)}, rows=1))
raises(ValueError, lambda: banded({0: (1, 2)}, cols=1))
raises(ValueError, lambda: banded(1, {0: (1, 2)}))
raises(ValueError, lambda: banded(2, 1, {0: (1, 2)}))
raises(ValueError, lambda: banded(1, 2, {0: (1, 2)}))
assert isinstance(banded(2, 4, {}), SparseMatrix)
assert banded(2, 4, {}) == zeros(2, 4)
assert banded({0: 0, 1: 0}) == zeros(0)
assert banded({0: Matrix([1, 2])}) == Matrix([1, 2])
assert banded({1: [1, 2, 3, 0], -1: [4, 5, 6]}) == \
banded({1: (1, 2, 3), -1: (4, 5, 6)}) == \
Matrix([
[0, 1, 0, 0],
[4, 0, 2, 0],
[0, 5, 0, 3],
[0, 0, 6, 0]])
assert banded(3, 4, {-1: 1, 0: 2, 1: 3}) == \
Matrix([
[2, 3, 0, 0],
[1, 2, 3, 0],
[0, 1, 2, 3]])
s = lambda d: (1 + d)**2
assert banded(5, {0: s, 2: s}) == \
Matrix([
[1, 0, 1, 0, 0],
[0, 4, 0, 4, 0],
[0, 0, 9, 0, 9],
[0, 0, 0, 16, 0],
[0, 0, 0, 0, 25]])
assert banded(2, {0: 1}) == \
Matrix([
[1, 0],
[0, 1]])
assert banded(2, 3, {0: 1}) == \
Matrix([
[1, 0, 0],
[0, 1, 0]])
vert = Matrix([1, 2, 3])
assert banded({0: vert}, cols=3) == \
Matrix([
[1, 0, 0],
[2, 1, 0],
[3, 2, 1],
[0, 3, 2],
[0, 0, 3]])
assert banded(4, {0: ones(2)}) == \
Matrix([
[1, 1, 0, 0],
[1, 1, 0, 0],
[0, 0, 1, 1],
[0, 0, 1, 1]])
raises(ValueError, lambda: banded({0: 2, 1: ones(2)}, rows=5))
assert banded({0: 2, 2: (ones(2),)*3}) == \
Matrix([
[2, 0, 1, 1, 0, 0, 0, 0],
[0, 2, 1, 1, 0, 0, 0, 0],
[0, 0, 2, 0, 1, 1, 0, 0],
[0, 0, 0, 2, 1, 1, 0, 0],
[0, 0, 0, 0, 2, 0, 1, 1],
[0, 0, 0, 0, 0, 2, 1, 1]])
raises(ValueError, lambda: banded({0: (2,)*5, 1: (ones(2),)*3}))
u2 = Matrix([[1, 1], [0, 1]])
assert banded({0: (2,)*5, 1: (u2,)*3}) == \
Matrix([
[2, 1, 1, 0, 0, 0, 0],
[0, 2, 1, 0, 0, 0, 0],
[0, 0, 2, 1, 1, 0, 0],
[0, 0, 0, 2, 1, 0, 0],
[0, 0, 0, 0, 2, 1, 1],
[0, 0, 0, 0, 0, 0, 1]])
assert banded({0:(0, ones(2)), 2: 2}) == \
Matrix([
[0, 0, 2],
[0, 1, 1],
[0, 1, 1]])
raises(ValueError, lambda: banded({0: (0, ones(2)), 1: 2}))
assert banded({0: 1}, cols=3) == banded({0: 1}, rows=3) == eye(3)
assert banded({1: 1}, rows=3) == Matrix([
[0, 1, 0],
[0, 0, 1],
[0, 0, 0]])
|