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126 lines
3.8 KiB
Python
126 lines
3.8 KiB
Python
"""Test functions for linalg.matmul_toeplitz function
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"""
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import numpy as np
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from scipy.linalg import toeplitz, matmul_toeplitz
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from pytest import raises as assert_raises
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from numpy.testing import assert_allclose
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class TestMatmulToeplitz:
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def setup_method(self):
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self.rng = np.random.RandomState(42)
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self.tolerance = 1.5e-13
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def test_real(self):
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cases = []
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n = 1
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c = self.rng.normal(size=n)
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r = self.rng.normal(size=n)
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x = self.rng.normal(size=(n, 1))
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cases.append((x, c, r, False))
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n = 2
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c = self.rng.normal(size=n)
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r = self.rng.normal(size=n)
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x = self.rng.normal(size=(n, 1))
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cases.append((x, c, r, False))
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n = 101
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c = self.rng.normal(size=n)
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r = self.rng.normal(size=n)
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x = self.rng.normal(size=(n, 1))
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cases.append((x, c, r, True))
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n = 1000
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c = self.rng.normal(size=n)
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r = self.rng.normal(size=n)
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x = self.rng.normal(size=(n, 1))
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cases.append((x, c, r, False))
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n = 100
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c = self.rng.normal(size=n)
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r = self.rng.normal(size=n)
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x = self.rng.normal(size=(n, self.rng.randint(1, 10)))
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cases.append((x, c, r, False))
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n = 100
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c = self.rng.normal(size=(n, 1))
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r = self.rng.normal(size=(n, 1))
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x = self.rng.normal(size=(n, self.rng.randint(1, 10)))
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cases.append((x, c, r, True))
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n = 100
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c = self.rng.normal(size=(n, 1))
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r = None
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x = self.rng.normal(size=(n, self.rng.randint(1, 10)))
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cases.append((x, c, r, True, -1))
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n = 100
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c = self.rng.normal(size=(n, 1))
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r = None
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x = self.rng.normal(size=n)
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cases.append((x, c, r, False))
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n = 101
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c = self.rng.normal(size=n)
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r = self.rng.normal(size=n-27)
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x = self.rng.normal(size=(n-27, 1))
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cases.append((x, c, r, True))
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n = 100
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c = self.rng.normal(size=n)
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r = self.rng.normal(size=n//4)
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x = self.rng.normal(size=(n//4, self.rng.randint(1, 10)))
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cases.append((x, c, r, True))
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[self.do(*i) for i in cases]
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def test_complex(self):
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n = 127
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c = self.rng.normal(size=(n, 1)) + self.rng.normal(size=(n, 1))*1j
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r = self.rng.normal(size=(n, 1)) + self.rng.normal(size=(n, 1))*1j
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x = self.rng.normal(size=(n, 3)) + self.rng.normal(size=(n, 3))*1j
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self.do(x, c, r, False)
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n = 100
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c = self.rng.normal(size=(n, 1)) + self.rng.normal(size=(n, 1))*1j
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r = self.rng.normal(size=(n//2, 1)) +\
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self.rng.normal(size=(n//2, 1))*1j
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x = self.rng.normal(size=(n//2, 3)) +\
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self.rng.normal(size=(n//2, 3))*1j
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self.do(x, c, r, False)
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def test_exceptions(self):
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n = 100
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c = self.rng.normal(size=n)
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r = self.rng.normal(size=2*n)
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x = self.rng.normal(size=n)
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assert_raises(ValueError, matmul_toeplitz, (c, r), x, True)
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n = 100
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c = self.rng.normal(size=n)
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r = self.rng.normal(size=n)
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x = self.rng.normal(size=n-1)
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assert_raises(ValueError, matmul_toeplitz, (c, r), x, True)
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n = 100
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c = self.rng.normal(size=n)
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r = self.rng.normal(size=n//2)
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x = self.rng.normal(size=n//2-1)
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assert_raises(ValueError, matmul_toeplitz, (c, r), x, True)
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# For toeplitz matrices, matmul_toeplitz() should be equivalent to @.
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def do(self, x, c, r=None, check_finite=False, workers=None):
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if r is None:
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actual = matmul_toeplitz(c, x, check_finite, workers)
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else:
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actual = matmul_toeplitz((c, r), x, check_finite)
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desired = toeplitz(c, r) @ x
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assert_allclose(actual, desired,
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rtol=self.tolerance, atol=self.tolerance)
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