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-rw-r--r--numpy/linalg/tests/test_linalg.py90
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diff --git a/numpy/linalg/tests/test_linalg.py b/numpy/linalg/tests/test_linalg.py
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+""" Test functions for linalg module
+"""
+
+from numpy.testing import *
+set_package_path()
+from numpy import array, single, double, csingle, cdouble, dot, identity, \
+ multiply
+from numpy import linalg
+restore_path()
+
+old_assert_almost_equal = assert_almost_equal
+def assert_almost_equal(a, b, **kw):
+ if a.dtype.type in (single, csingle):
+ decimal = 6
+ else:
+ decimal = 12
+ old_assert_almost_equal(a, b, decimal=decimal, **kw)
+
+class LinalgTestCase(NumpyTestCase):
+ def check_single(self):
+ a = array([[1.,2.], [3.,4.]], dtype=single)
+ b = array([2., 1.], dtype=single)
+ self.do(a, b)
+
+ def check_double(self):
+ a = array([[1.,2.], [3.,4.]], dtype=double)
+ b = array([2., 1.], dtype=double)
+ self.do(a, b)
+
+ def check_csingle(self):
+ a = array([[1.+2j,2+3j], [3+4j,4+5j]], dtype=csingle)
+ b = array([2.+1j, 1.+2j], dtype=csingle)
+ self.do(a, b)
+
+ def check_cdouble(self):
+ a = array([[1.+2j,2+3j], [3+4j,4+5j]], dtype=cdouble)
+ b = array([2.+1j, 1.+2j], dtype=cdouble)
+ self.do(a, b)
+
+class test_solve(LinalgTestCase):
+ def do(self, a, b):
+ x = linalg.solve(a, b)
+ assert_almost_equal(b, dot(a, x))
+
+class test_inv(LinalgTestCase):
+ def do(self, a, b):
+ a_inv = linalg.inv(a)
+ assert_almost_equal(dot(a, a_inv), identity(a.shape[0]))
+
+class test_eigvals(LinalgTestCase):
+ def do(self, a, b):
+ ev = linalg.eigvals(a)
+ evalues, evectors = linalg.eig(a)
+ assert_almost_equal(ev, evalues)
+
+class test_eig(LinalgTestCase):
+ def do(self, a, b):
+ evalues, evectors = linalg.eig(a)
+ assert_almost_equal(dot(a, evectors), evectors*evalues)
+
+class test_svd(LinalgTestCase):
+ def do(self, a, b):
+ u, s, vt = linalg.svd(a, 0)
+ assert_almost_equal(a, dot(u*s, vt))
+
+class test_pinv(LinalgTestCase):
+ def do(self, a, b):
+ a_ginv = linalg.pinv(a)
+ assert_almost_equal(dot(a, a_ginv), identity(a.shape[0]))
+
+class test_det(LinalgTestCase):
+ def do(self, a, b):
+ d = linalg.det(a)
+ if a.dtype.type in (single, double):
+ ad = a.astype(double)
+ else:
+ ad = a.astype(cdouble)
+ ev = linalg.eigvals(ad)
+ assert_almost_equal(d, multiply.reduce(ev))
+
+class test_lstsq(LinalgTestCase):
+ def do(self, a, b):
+ u, s, vt = linalg.svd(a, 0)
+ x, residuals, rank, sv = linalg.lstsq(a, b)
+ assert_almost_equal(b, dot(a, x))
+ assert_equal(rank, a.shape[0])
+ assert_almost_equal(sv, s)
+
+if __name__ == '__main__':
+ NumpyTest().run()