1 /* Copyright (c) FFLAS-FFPACK
2 * Written by Philippe LEDENT
3 * philippe.ledent@etu.univ-grenoble-alpes.fr
4 * ========LICENCE========
5 * This file is part of the library FFLAS-FFPACK.
6 *
7 * FFLAS-FFPACK is free software: you can redistribute it and/or modify
8 * it under the terms of the GNU Lesser General Public
9 * License as published by the Free Software Foundation; either
10 * version 2.1 of the License, or (at your option) any later version.
11 *
12 * This library is distributed in the hope that it will be useful,
13 * but WITHOUT ANY WARRANTY; without even the implied warranty of
14 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
15 * Lesser General Public License for more details.
16 *
17 * You should have received a copy of the GNU Lesser General Public
18 * License along with this library; if not, write to the Free Software
19 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
20 * ========LICENCE========
21 */
22
23 #include <fflas-ffpack/fflas/fflas.h>
24 #include <givaro/modular.h>
25 #include <givaro/modular-balanced.h>
26 #include "fflas-ffpack/utils/fflas_io.h"
27 #include "fflas-ffpack/utils/fflas_randommatrix.h"
28 #include <iostream>
29
30 using namespace FFLAS;
31
main(int argc,char ** argv)32 int main(int argc, char** argv) {
33 std::cout << "" << std::endl;
34 typedef Givaro::Modular<float> Float_Field;
35 Float_Field F(101);
36
37 // Let m be a natural
38 const size_t m = 11, inca = 1;
39 // Let a be a m by 1 random vector
40 Float_Field::Element_ptr a;
41 a = fflas_new(F,m,1);
42 uint64_t seed = time(NULL);
43 typename Float_Field::RandIter G(F,0,seed);
44 frand(F,G,m,a,inca);
45
46 // Let n be natural
47 // Let b be a 1 by n random vector
48 const size_t n = 13, incb = 1;
49 Float_Field::Element_ptr b;
50 b = fflas_new(F,1,n);
51
52 frand(F,G,n,b,incb);
53
54 // Let A be an m by n matrix obtained by the outer product between a and b
55 const size_t lda = n;
56 Float_Field::Element_ptr A;
57 A = fflas_new(F,m,n);
58 fger(F,m,n,F.one,a,inca,b,incb,A,lda);
59
60
61
62 // Let C be an n by 1 vector such that C
63 const size_t incc = 1;
64 Float_Field::Element_ptr c;
65 c = fflas_new(F,m,1);
66
67 frand(F,G,m,c,incc);
68
69 // Let d be a scalar where d = b dot c
70 Float_Field::Element d;
71 d = fdot(F,n,b,incb,c,incc);
72
73 // Let e be a copy of a
74 Float_Field::Element_ptr e;
75 e = fflas_new(F,m,1);
76 fassign(F,m,1,a,inca,e,inca);
77
78 // Compute e := (d scalar e) - (A times c)
79 // Therefore e := -(A times c) + (d scalar e)
80 fgemv(F,FFLAS::FflasNoTrans,m,n,F.mOne,A,lda,c,incc,d,e,inca);
81
82 // If e is the zero vector then
83
84 // Is a the zero vector ?
85 bool res = fiszero(F,m,e,inca);
86
87
88 //Output
89 WriteMatrix(std::cout<<"a:=\n",F,m,1,a,inca)<<std::endl;
90 WriteMatrix(std::cout<<"b:= ",F,1,n,b,incb)<<std::endl;
91 WriteMatrix(std::cout<<"A:=\n",F,m,n,A,lda)<<std::endl;
92 WriteMatrix(std::cout<<"c:=\n",F,m,1,c,incc)<<std::endl;
93 //WriteMatrix(std::cout<<"d:=",F,1,1,d,1)<<std::endl;
94 WriteMatrix(std::cout<<"e:=\n",F,m,1,e,inca)<<std::endl;
95 std::cout<<"Is e the zero vector ?"<< std::endl;
96 if(res)
97 std::cout<<"TRUE"<< std::endl;
98 else
99 std::cout<<"FALSE"<< std::endl;
100
101 // note :
102 // There are many routines that create random matrices.
103 // They can be found in fflas-ffpack/utils/fflas_randommatrix.
104
105
106
107
108
109 // Clearing up the memory
110 fflas_delete(a);
111 fflas_delete(b);
112 fflas_delete(A);
113 fflas_delete(c);
114 fflas_delete(e);
115
116 }
117 /* -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
118 // vim:sts=4:sw=4:ts=4:et:sr:cino=>s,f0,{0,g0,(0,\:0,t0,+0,=s
119