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import numpy as np
from numpy.testing import TestCase, assert_array_almost_equal, dec, \
assert_equal, assert_
from common import FUNCS_TP, FLAPACK_IS_EMPTY, CLAPACK_IS_EMPTY, FUNCS_FLAPACK, \
FUNCS_CLAPACK, PREC
SYEV_ARG = np.array([[1,2,3],[2,2,3],[3,3,6]])
SYEV_REF = np.array([-0.6699243371851365, 0.4876938861533345,
9.182230451031804])
class TestEsv(TestCase):
def _test_base(self, func, lang):
tp = FUNCS_TP[func]
a = SYEV_ARG.astype(tp)
if lang == 'C':
f = FUNCS_CLAPACK[func]
elif lang == 'F':
f = FUNCS_FLAPACK[func]
else:
raise ValueError("Lang %s ??" % lang)
w, v, info = f(a)
assert_(not info, msg=repr(info))
assert_array_almost_equal(w, SYEV_REF, decimal=PREC[tp])
for i in range(3):
assert_array_almost_equal(np.dot(a,v[:,i]), w[i]*v[:,i],
decimal=PREC[tp])
def _test_base_irange(self, func, irange, lang):
tp = FUNCS_TP[func]
a = SYEV_ARG.astype(tp)
if lang == 'C':
f = FUNCS_CLAPACK[func]
elif lang == 'F':
f = FUNCS_FLAPACK[func]
else:
raise ValueError("Lang %s ??" % lang)
w, v, info = f(a, irange=irange)
rslice = slice(irange[0], irange[1]+1)
m = irange[1] - irange[0] + 1
assert_(not info, msg=repr(info))
assert_equal(len(w),m)
assert_array_almost_equal(w, SYEV_REF[rslice], decimal=PREC[tp])
for i in range(m):
assert_array_almost_equal(np.dot(a,v[:,i]), w[i]*v[:,i],
decimal=PREC[tp])
def _test_base_vrange(self, func, vrange, lang):
tp = FUNCS_TP[func]
a = SYEV_ARG.astype(tp)
ew = [value for value in SYEV_REF if vrange[0] < value <= vrange[1]]
if lang == 'C':
f = FUNCS_CLAPACK[func]
elif lang == 'F':
f = FUNCS_FLAPACK[func]
else:
raise ValueError("Lang %s ??" % lang)
w, v, info = f(a, vrange=vrange)
assert_(not info, msg=repr(info))
assert_array_almost_equal(w, ew, decimal=PREC[tp])
for i in range(len(w)):
assert_array_almost_equal(np.dot(a,v[:,i]), w[i]*v[:,i],
decimal=PREC[tp])
def _test_syevr_ranges(self, func, lang):
for irange in ([0, 2], [0, 1], [1, 1], [1, 2]):
self._test_base_irange(func, irange, lang)
for vrange in ([-1, 10], [-1, 1], [0, 1], [1, 10]):
self._test_base_vrange(func, vrange, lang)
# Flapack tests
@dec.skipif(FLAPACK_IS_EMPTY, "Flapack empty, skip flapack test")
def test_ssyev(self):
self._test_base('ssyev', 'F')
@dec.skipif(FLAPACK_IS_EMPTY, "Flapack empty, skip flapack test")
def test_dsyev(self):
self._test_base('dsyev', 'F')
@dec.skipif(FLAPACK_IS_EMPTY, "Flapack empty, skip flapack test")
def test_ssyevr(self):
self._test_base('ssyevr', 'F')
@dec.skipif(FLAPACK_IS_EMPTY, "Flapack empty, skip flapack test")
def test_dsyevr(self):
self._test_base('dsyevr', 'F')
@dec.skipif(FLAPACK_IS_EMPTY, "Flapack empty, skip flapack test")
def test_ssyevr_ranges(self):
self._test_syevr_ranges('ssyevr', 'F')
@dec.skipif(FLAPACK_IS_EMPTY, "Flapack empty, skip flapack test")
def test_dsyevr_ranges(self):
self._test_syevr_ranges('dsyevr', 'F')
# Clapack tests
@dec.skipif(CLAPACK_IS_EMPTY or not FUNCS_CLAPACK["ssyev"],
"Clapack empty, skip clapack test")
def test_clapack_ssyev(self):
self._test_base('ssyev', 'C')
@dec.skipif(CLAPACK_IS_EMPTY or not FUNCS_CLAPACK["dsyev"],
"Clapack empty, skip clapack test")
def test_clapack_dsyev(self):
self._test_base('dsyev', 'C')
@dec.skipif(CLAPACK_IS_EMPTY or not FUNCS_CLAPACK["ssyevr"],
"Clapack empty, skip clapack test")
def test_clapack_ssyevr(self):
self._test_base('ssyevr', 'C')
@dec.skipif(CLAPACK_IS_EMPTY or not FUNCS_CLAPACK["dsyevr"],
"Clapack empty, skip clapack test")
def test_clapack_dsyevr(self):
self._test_base('dsyevr', 'C')
@dec.skipif(CLAPACK_IS_EMPTY or not FUNCS_CLAPACK["ssyevr"],
"Clapack empty, skip clapack test")
def test_clapack_ssyevr_ranges(self):
self._test_syevr_ranges('ssyevr', 'C')
@dec.skipif(CLAPACK_IS_EMPTY or not FUNCS_CLAPACK["dsyevr"],
"Clapack empty, skip clapack test")
def test_clapack_dsyevr_ranges(self):
self._test_syevr_ranges('dsyevr', 'C')
if __name__=="__main__":
run_module_suite()
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