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#!/usr/bin/env python
#
# Created by: Pearu Peterson, April 2002
#
__usage__ = """
Build linalg:
python setup.py build
Run tests if scipy is installed:
python -c 'import scipy;scipy.lib.blas.test()'
"""
import math
from numpy import array
from numpy.testing import assert_equal, assert_almost_equal, \
assert_array_almost_equal, TestCase, run_module_suite
from scipy.lib.blas import fblas
from scipy.lib.blas import cblas
from scipy.lib.blas import get_blas_funcs
class TestCBLAS1Simple(TestCase):
def test_axpy(self):
for p in 'sd':
f = getattr(cblas,p+'axpy',None)
if f is None: continue
assert_array_almost_equal(f([1,2,3],[2,-1,3],a=5),[7,9,18])
for p in 'cz':
f = getattr(cblas,p+'axpy',None)
if f is None: continue
assert_array_almost_equal(f([1,2j,3],[2,-1,3],a=5),[7,10j-1,18])
class TestFBLAS1Simple(TestCase):
def test_axpy(self):
for p in 'sd':
f = getattr(fblas,p+'axpy',None)
if f is None: continue
assert_array_almost_equal(f([1,2,3],[2,-1,3],a=5),[7,9,18])
for p in 'cz':
f = getattr(fblas,p+'axpy',None)
if f is None: continue
assert_array_almost_equal(f([1,2j,3],[2,-1,3],a=5),[7,10j-1,18])
def test_copy(self):
for p in 'sd':
f = getattr(fblas,p+'copy',None)
if f is None: continue
assert_array_almost_equal(f([3,4,5],[8]*3),[3,4,5])
for p in 'cz':
f = getattr(fblas,p+'copy',None)
if f is None: continue
assert_array_almost_equal(f([3,4j,5+3j],[8]*3),[3,4j,5+3j])
def test_asum(self):
for p in 'sd':
f = getattr(fblas,p+'asum',None)
if f is None: continue
assert_almost_equal(f([3,-4,5]),12)
for p in ['sc','dz']:
f = getattr(fblas,p+'asum',None)
if f is None: continue
assert_almost_equal(f([3j,-4,3-4j]),14)
def test_dot(self):
for p in 'sd':
f = getattr(fblas,p+'dot',None)
if f is None: continue
assert_almost_equal(f([3,-4,5],[2,5,1]),-9)
for p in 'cz':
f = getattr(fblas,p+'dotu',None)
if f is None: continue
assert_almost_equal(f([3j,-4,3-4j],[2,3,1]),-9+2j)
f = getattr(fblas,p+'dotc')
assert_almost_equal(f([3j,-4,3-4j],[2,3j,1]),3-14j)
def test_nrm2(self):
for p in 'sd':
f = getattr(fblas,p+'nrm2',None)
if f is None: continue
assert_almost_equal(f([3,-4,5]),math.sqrt(50))
for p in ['sc','dz']:
f = getattr(fblas,p+'nrm2',None)
if f is None: continue
assert_almost_equal(f([3j,-4,3-4j]),math.sqrt(50))
def test_scal(self):
for p in 'sd':
f = getattr(fblas,p+'scal',None)
if f is None: continue
assert_array_almost_equal(f(2,[3,-4,5]),[6,-8,10])
for p in 'cz':
f = getattr(fblas,p+'scal',None)
if f is None: continue
assert_array_almost_equal(f(3j,[3j,-4,3-4j]),[-9,-12j,12+9j])
for p in ['cs','zd']:
f = getattr(fblas,p+'scal',None)
if f is None: continue
assert_array_almost_equal(f(3,[3j,-4,3-4j]),[9j,-12,9-12j])
def test_swap(self):
for p in 'sd':
f = getattr(fblas,p+'swap',None)
if f is None: continue
x,y = [2,3,1],[-2,3,7]
x1,y1 = f(x,y)
assert_array_almost_equal(x1,y)
assert_array_almost_equal(y1,x)
for p in 'cz':
f = getattr(fblas,p+'swap',None)
if f is None: continue
x,y = [2,3j,1],[-2,3,7-3j]
x1,y1 = f(x,y)
assert_array_almost_equal(x1,y)
assert_array_almost_equal(y1,x)
def test_amax(self):
for p in 'sd':
f = getattr(fblas,'i'+p+'amax')
assert_equal(f([-2,4,3]),1)
for p in 'cz':
f = getattr(fblas,'i'+p+'amax')
assert_equal(f([-5,4+3j,6]),1)
#XXX: need tests for rot,rotm,rotg,rotmg
class TestFBLAS2Simple(TestCase):
def test_gemv(self):
for p in 'sd':
f = getattr(fblas,p+'gemv',None)
if f is None: continue
assert_array_almost_equal(f(3,[[3]],[-4]),[-36])
assert_array_almost_equal(f(3,[[3]],[-4],3,[5]),[-21])
for p in 'cz':
f = getattr(fblas,p+'gemv',None)
if f is None: continue
assert_array_almost_equal(f(3j,[[3-4j]],[-4]),[-48-36j])
assert_array_almost_equal(f(3j,[[3-4j]],[-4],3,[5j]),[-48-21j])
def test_ger(self):
for p in 'sd':
f = getattr(fblas,p+'ger',None)
if f is None: continue
assert_array_almost_equal(f(1,[1,
2],[3,4]),[[3,4],[6,8]])
assert_array_almost_equal(f(2,[1,
2,
3],[3,4]),[[6,8],[12,16],[18,24]])
assert_array_almost_equal(f(1,[1,
2],[3,4],
a=[[1,2],[3,4]]
),[[4,6],[9,12]])
for p in 'cz':
f = getattr(fblas,p+'geru',None)
if f is None: continue
assert_array_almost_equal(f(1,[1j,
2],[3,4]),[[3j,4j],[6,8]])
assert_array_almost_equal(f(-2,[1j,
2j,
3j],[3j,4j]),[[6,8],[12,16],[18,24]])
for p in 'cz':
f = getattr(fblas,p+'gerc',None)
if f is None: continue
assert_array_almost_equal(f(1,[1j,
2],[3,4]),[[3j,4j],[6,8]])
assert_array_almost_equal(f(2,[1j,
2j,
3j],[3j,4j]),[[6,8],[12,16],[18,24]])
class TestFBLAS3Simple(TestCase):
def test_gemm(self):
for p in 'sd':
f = getattr(fblas,p+'gemm',None)
if f is None: continue
assert_array_almost_equal(f(3,[3],[-4]),[[-36]])
assert_array_almost_equal(f(3,[3],[-4],3,[5]),[-21])
assert_array_almost_equal(f(1,[[1,2],[1,2]],[[3],[4]]),[[11],[11]])
assert_array_almost_equal(f(1,[[1,2]],[[3,3],[4,4]]),[[11,11]])
for p in 'cz':
f = getattr(fblas,p+'gemm',None)
if f is None: continue
assert_array_almost_equal(f(3j,[3-4j],[-4]),[[-48-36j]])
assert_array_almost_equal(f(3j,[3-4j],[-4],3,[5j]),[-48-21j])
assert_array_almost_equal(f(1,[[1,2],[1,2]],[[3],[4]]),[[11],[11]])
assert_array_almost_equal(f(1,[[1,2]],[[3,3],[4,4]]),[[11,11]])
def test_gemm2(self):
for p in 'sdcz':
f = getattr(fblas,p+'gemm',None)
if f is None: continue
assert_array_almost_equal(f(1,[[1,2]],[[3],[4]]),[[11]])
assert_array_almost_equal(f(1,[[1,2],[1,2]],[[3],[4]]),[[11],[11]])
class TestBLAS(TestCase):
def test_blas(self):
a = array([[1,1,1]])
b = array([[1],[1],[1]])
# get_blas_funcs is deprecated, silence the warning
import warnings
warnings.simplefilter('ignore', DeprecationWarning)
gemm, = get_blas_funcs(('gemm',),(a,b))
# remove filter again
warnings.filters.pop(0)
assert_array_almost_equal(gemm(1,a,b),[[3]],15)
if __name__ == "__main__":
run_module_suite()
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