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test_blas.py
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test_blas.py
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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.linalg.test()'
"""
import math
# The original code uses numpy's testing environment.
# I reimplemented just enough of it to pass most of the tests
# using CPython.
from f2pypy import pypy_shim
import numpy as np
from f2pypy.testing import TestCase, run_module_suite, assert_equal, \
assert_almost_equal, assert_array_almost_equal
#from scipy.linalg import fblas, cblas, get_blas_funcs
#import blas as fblas
#import blas as cblas
### Change to use the f2pypy generated version
# (which doesn't support the cblas interface).
import fblas
cblas = fblas
# I found that I got confused about which environment I was in
print "Using", fblas
_type_conv = {'f':'s', 'd':'d', 'F':'c', 'D':'z', 'G':'z'}
_blas_alias = {'cnrm2' : 'scnrm2', 'znrm2' : 'dznrm2',
'cdot' : 'cdotc', 'zdot' : 'zdotc',
'cger' : 'cgerc', 'zger' : 'zgerc',
'sdotc': 'sdot', 'sdotu': 'sdot',
'ddotc': 'ddot', 'ddotu': 'ddot'}
def get_blas_funcs(names, arrays=(), dtype=None):
blas_funcs = []
unpack = False
dtype = np.dtype(dtype)
module1 = (cblas, 'cblas')
module2 = (fblas, 'fblas')
if isinstance(names, str):
names = (names,)
unpack = True
if arrays:
# use the most generic type in arrays
dtype, index = max(
[(ar.dtype, i) for i, ar in enumerate(arrays)])
if arrays[index].flags['FORTRAN']:
# prefer Fortran for leading array with column major order
module1, module2 = module2, module1
prefix = _type_conv.get(dtype.char, 'd')
for i, name in enumerate(names):
func_name = prefix + name
func_name = _blas_alias.get(func_name, func_name)
func = getattr(module1[0], func_name, None)
module_name = module1[1]
if func is None:
func = getattr(module2[0], func_name, None)
module_name = module2[1]
if func is None:
raise ValueError(
'BLAS function %s could not be found' % func_name)
func.module_name, func.typecode = module_name, prefix
blas_funcs.append(func)
if unpack:
return blas_funcs[0]
else:
return blas_funcs
def test_get_blas_funcs():
# check that it returns Fortran code for arrays that are
# fortran-ordered
f1, f2, f3 = get_blas_funcs(
('axpy', 'axpy', 'axpy'),
(np.empty((2,2), dtype=np.complex64, order='F'),
np.empty((2,2), dtype=np.complex128, order='C'))
)
# get_blas_funcs will choose libraries depending on most generic
# array
assert_equal(f1.typecode, 'z')
assert_equal(f1.module_name, 'cblas')
assert_equal(f2.typecode, 'z')
assert_equal(f2.module_name, 'cblas')
# check defaults.
f1 = get_blas_funcs('rotg')
assert_equal(f1.typecode, 'd')
# check also dtype interface
f1 = get_blas_funcs('gemm', dtype=np.complex64)
assert_equal(f1.typecode, 'c')
f1 = get_blas_funcs('gemm', dtype='F')
assert_equal(f1.typecode, 'c')
# extended precision complex
f1 = get_blas_funcs('gemm', dtype=np.longcomplex)
assert_equal(f1.typecode, 'z')
def test_get_blas_funcs_alias():
# check alias for get_blas_funcs
f, g = get_blas_funcs(('nrm2', 'dot'), dtype=np.complex64)
assert f.typecode == 'c'
assert g.typecode == 'c'
f, g, h = get_blas_funcs(('dot', 'dotc', 'dotu'), dtype=np.float64)
assert f is g
assert f is h
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(5,[1,2,3],[2,-1,3]),[7,9,18])
for p in 'cz':
f = getattr(cblas,p+'axpy',None)
if f is None: continue
assert_array_almost_equal(f(5,[1,2j,3],[2,-1,3]),[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)
def test_complex_dotu(self):
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)
def test_complex_dotc(self):
for p in 'cz':
f = getattr(fblas,p+'dotc',None)
if f is None: continue
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 ['c', 'z', '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':
for name in ('ger', 'gerc'):
f = getattr(fblas,p+name,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])
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])
if __name__ == "__main__":
run_module_suite()