#!/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 import numpy as np from numpy.testing import TestCase, run_module_suite, assert_equal, \ assert_almost_equal, assert_array_almost_equal from scipy.linalg import fblas, cblas, get_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()