1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
|
/*
* Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
* Copyright (C) 2008-2008 - INRIA - Allan SIMON
*
* This file must be used under the terms of the CeCILL.
* This source file is licensed as described in the file COPYING, which
* you should have received as part of this distribution. The terms
* are also available at
* http://www.cecill.info/licences/Licence_CeCILL_V2-en.txt
*
*/
#define SIZE 100
#define DMATRIX_TEST {14.6458099031118518,15.9879935334969154,14.5023146230340352,9.79104027026660262,\
13.658147977601745,18.2826677794023276,13.9913488019182726,13.0555850244756648,\
11.2702097163264696,12.2080852641231488,\
14.9576657268129818,18.0415870145381838,15.4577532112657572,10.6060207869925502,\
14.6987916130120198,19.9917861348452170,14.8484467294549827,14.0994958596124,\
12.1294313366477713,12.8836800651605152,\
7.72729140087719646,8.27571528291814396,8.78222511899259928,5.22537042408334251,\
7.61718988429527233,10.1106593547443495,7.22727291477849576,6.72646688774223733,\
6.21430065514425589,6.69442204331610213,\
11.8618893865302528,13.2731189359057637,12.8373872935372706,9.52692469532374631,\
11.9056327368823247,16.3654355264039921,11.8674243780595265,11.7206072002431814,\
9.24712051368910970,10.6966525674175159,\
7.25089971320127891,8.98673751651268127,7.49831172728240691,5.29368504368777693,\
8.12154956830077346,10.3089262075282218,7.4337348502224856,6.83888206810676191,\
5.87125977419815737,6.5321378683758375,\
9.25854069422946502,10.4059421461299539,9.47515410794143342,7.263789985253827,\
9.16034813421007321,13.6353552693330933,9.3726649654333336,8.83558176180042132,\
7.6055387753197277,8.4871270614444292,\
12.6878667266786511,14.1417583108624711,13.0448499416136254,9.182764814582713,\
12.4852121681423256,17.073953108953809,13.2550267101027224,11.3640159258193041,\
9.6279844249894015,10.6765282334921068,\
16.0691497196859565,18.4667994666424704,16.975871456346809,12.083598083627443,\
15.7522021028722747,22.0489520587189212,16.1322911282790358,16.8044904865300744,\
12.7829232118433556,14.5730443462997599,\
11.943978463537455,13.6259118560125358,11.8068134298221956,8.21687415305816771,\
11.4127920042158735,15.2296090993128281,11.3826577511842082,11.0976684273648587,\
10.3857413785092909,10.2894980707345525,\
11.5843985401712821,13.2781579371486753,12.1725305229437293,8.37850128011447204,\
11.8141382209783163,15.4022074994757734,11.484608766021573,11.1535660239869383,\
9.31343988645433285,11.1349864749012912}
#define FMATRIX_TEST {4.6052332809216896f,2.16205411267794823f,1.12245312965776556f,4.0468190853821735f,\
7.29705295628955231f,2.45894799152591625f,2.29331674633863614f,4.21571156291592253f,\
2.81922686558935887f,2.348781949769843f,\
2.07401297354815162f,1.50063692688995753f,0.25219828236411757f,2.7063265188290884f,\
6.35812780561968260f,0.67264506810224134f,0.79079814568186024f,2.91747981321864280f,\
1.01032692983832129f,0.75975015828076931f,\
7.04077899650083694f,5.39363072316827363f,4.99449464719530045f,6.79878933472462954f,\
11.2977866849707205f,5.7026161792862045f,6.09443833294921244f,7.35970702338152272f,\
6.14030297304667272f,5.80227288585002476f,\
1.52422494456658053f,0.15792523935350228f,-0.39437456229879331f,3.21063571532312331f,\
4.72654937095295491f,0.19681048033039794f,0.13926710536989889f,2.4098033377935764f,\
1.19110231590601412f,0.24431206393184518f,\
5.84910802491279558f,3.67968516288822922f,2.73879619563976862f,5.69547375492497387f,\
10.2284804678743431f,4.40378197582331143f,3.9855513762320007f,6.24858736599414133f,\
4.57057059205936156f,4.19331143449899635f,\
2.84423960711997825f,0.91341486330902766f,0.32799575263405639f,3.63130361353437925f,\
6.73358898182897025f,2.44092642244158631f,1.4035651670524776f,3.29646069585033841f,\
1.63804041671370615f,1.34065096546340268f,\
5.04689360696997724f,2.58451417966281571f,1.89915292921285772f,4.62170835433455451f,\
9.05019265678329887f,3.33670002112993291f,3.66038974983755372f,5.62296495186113443f,\
4.04432332701467434f,3.48415716881126114f,\
2.99051528256943167f,0.76077291642727529f,0.19995186822386554f,2.96972391032047955f,\
6.60462877127714787f,1.8346028052798535f,1.31621250911818244f,3.73816126628208467f,\
1.3788533261260996f,0.30973924698106181f,\
5.20595600060592734f,3.44646883779368096f,1.85946748567920750f,5.1361216710529769f,\
10.0941765681228333f,3.49429925842045552f,3.05021742013193098f,5.4348094549241184f,\
4.51765668386982977f,3.40850797720926035f,\
4.65702831667450212f,3.03706964016556746f,2.06940591125521856f,5.11047315752830578f,\
9.94379845012778674f,3.3321507049026704f,3.29919175160893818f,5.94111235727490428f,\
4.22429837741492253f,4.41612421969640145f}
#include <assert.h>
#include <stdio.h>
#include "frexp.h"
#include "pow.h"
static void dfrexpsTest ( void ) {
int i = 0 ;
double out = 0 ;
double dexp = 0 ;
double result = 0;
double in[] = DMATRIX_TEST ;
for ( i = 0 ; i < SIZE; i++ )
{
out = dfrexps ( in[i] , &dexp ) ;
result = out * dpows( 2 , dexp) ;
printf ( "\t\t %d in :%e %e\tresult : %e\tassert : %e \n" , i , dexp, in[i] , result , fabs( in[i] - result) / fabs( in[i]) ) ;
assert ( fabs ( in[i] - result) / fabs( in[i]) < 3e-16 ) ;
}
}
static void sfrexpsTest ( void ) {
int i = 0 ;
float out = 0 ;
float fexp = 0 ;
float result = 0;
float in[] = FMATRIX_TEST ;
for ( i = 0 ; i < SIZE; i++ )
{
out = sfrexps ( in[i] , &fexp ) ;
result = out * spows( 2.0f , fexp) ;
printf ( "\t\t %d in : %e\tresult : %e\tassert : %e \n" , i , in[i] , result , fabs( in[i] - result) / fabs( in[i]) ) ;
assert ( fabs ( in[i] - result) / fabs( in[i]) < 1e-6 ) ;
}
}
static int testFrexp(void) {
printf("\n>>>> Matrix Exponential Tests\n");
printf("\t>>>> Matrix Double Realt Tests\n");
dfrexpsTest();
printf("\n\n\t>>>> Matrix Float Realt Tests\n");
sfrexpsTest();
return 0;
}
int main(void) {
assert(testFrexp() == 0);
return 0;
}
|
