/*
* 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
*
*/
#include <assert.h>
#include <stdio.h>
#include <math.h>
#include "variancef.h"
/* #define LOCAL_DEBUG */
#define ERROR(x) printf("diff = %e\n", x)
#define VALUE1 3.0f
#define VALUE2 1.123456789f
#define COEF1 56.0f
#define COEF2 2.0f
static int svariancefsTest(void) {
printf("\n>>>> variancef Float Scalar Test\n");
printf("result : %e " ,svariancefs(VALUE1,COEF1)) ;
assert( ( svariancefs(VALUE1,COEF1) ) == 0.0f );
assert( ( svariancefs(VALUE2,COEF2) ) == 0.0f );
return 0;
}
static int svariancefaTest(void) {
float table1[3] = {3.0f, 6.0f, 9.0f};
float coef1[3] = {10.0f, 2.0f, 6.0f};
float table2[5] = {3.186784563f,
4.186784563f,
5.186784563f,
6.186784563f,
7.186784563f};
float coef2[5] = {3.0f,
4.0f,
5.0f,
6.0f,
7.0f};
printf("\n>>>> variancef Float Array Test\n");
printf("result : %e " ,svariancefa(table1, 3, coef1)) ;
printf("result : %e " ,svariancefa(table2, 5, coef2)) ;
assert(svariancefa(table1, 3, coef1) == 8.0f);
assert((svariancefa(table2, 5, coef2) - 1.916666666 )/ svariancefa(table2, 5 ,coef2) < 1e-6);
return 0;
}
/*
static int scolumnvariancefaTest(void) {
int i = 0;
float table1[9] = {1.0f, 4.0f, 7.0f, 2.0f , 5.0f, 8.0f, 3.0f, 6.0f, 9.0f};
float coef1[9] = {10.0f, 1.0f, 5.0f,11.0f , 2.0f, 6.0f,12.0f, 3.0f, 7.0f};
float table2[10] = {1.0f, 2.0f, 3.0f, 4.0f , 5.0f, 6.0f, 7.0f, 8.0f, 9.0f, 10.0f};
float coef2[10] = {11.0f, 12.0f, 13.0f, 14.0f , 15.0f, 16.0f, 17.0f, 18.0f, 19.0f, 20.0f};
float columnMeanmedTable1_3_3[3] = {0};
float columnMeanmedTable1_1_9[1] = {0};
float columnMeanmedTable1_9_1[9] = {0};
float columnMeanmedTable2_2_5[2] = {0};
float columnMeanmedTable2_5_2[5] = {0};
printf("\n>>>> Column Variancef Float Array Test\n");
[ 1 2 3 ] [10 11 12 ]
[ 4 5 6 ].*[ 1 2 3 ] => [ 68 32 146 ]
[ 7 8 9 ] [ 5 6 7 ]
scolumnvariancefa(table1, 3, 3, coef1 ,columnMeanmedTable1_3_3);
assert( ( fabs(columnMeanmedTable1_3_3[0] ) - ( 68.0f / 33.0f ) ) / fabs ( columnMeanmedTable1_3_3[0] ) < 1e-6 );
assert( ( fabs(columnMeanmedTable1_3_3[1] ) - ( 32.0f / 6.0f ) ) / fabs ( columnMeanmedTable1_3_3[1] ) < 1e-6 );
assert( ( fabs(columnMeanmedTable1_3_3[2] ) - ( 146.0f / 18.0f ) ) / fabs ( columnMeanmedTable1_3_3[2] ) < 1e-6 );
[ 1 2 3 4 5 6 7 8 9 ] => [ 45 ]
scolumnvariancefa(table1, 1, 9, coef1 ,columnMeanmedTable1_1_9);
printf("result qui foire : %e\n " ,columnMeanmedTable1_1_9[0]) ;
assert( ( fabs(columnMeanmedTable1_1_9[0] ) - ( 1.146666666f ) ) / fabs ( columnMeanmedTable1_1_9[0] ) < 1e-6 );
[ 1 ]
[ 2 ]
[ 3 ]
[ 4 ]
[ 5 ] => [ 1 2 3 4 5 6 7 8 9 ]
[ 6 ]
[ 7 ]
[ 8 ]
[ 9 ]
scolumnvariancefa(table1, 9, 1, coef1, columnMeanmedTable1_9_1);
for ( i = 0 ; i < 9 ; ++i) {
printf("columnMeanmedTable1_9_1[%d] = %e\n", i, columnMeanmedTable1_9_1[i]);
assert(columnMeanmedTable1_9_1[i] == table1[i]);
}
[ 1 3 5 7 9 ] .* [ 11 13 15 17 19 ]
[ 2 4 6 8 10 ] [ 12 14 16 18 20 ]=> [ 415 520 ]
scolumnvariancefa(table2, 2, 5, coef2 , columnMeanmedTable2_2_5);
assert( ( fabs(columnMeanmedTable2_2_5[0] ) - ( 415.0f / 75.0f ) ) / fabs ( columnMeanmedTable2_2_5[0] ) < 1e-6 );
assert( ( fabs(columnMeanmedTable2_2_5[1] ) - ( 520.0f / 80.0f ) ) / fabs ( columnMeanmedTable2_2_5[1] ) < 1e-6 );
for ( i = 0 ; i < 2 ; ++i) {
printf("columnMeanmedTable2_2_5[%d] = %e\n", i, columnMeanmedTable2_2_5[i]);
}
[ 1 6 ] [ 11 16 ]
[ 2 7 ] [ 12 17 ] => [ 107 143 183 227 275 ]
[ 3 8 ].*[ 13 18 ]
[ 4 9 ] [ 14 19 ]
[ 5 10 ] [ 15 20 ]
scolumnvariancefa(table2, 5, 2, coef2 ,columnMeanmedTable2_5_2);
assert( ( fabs(columnMeanmedTable2_5_2[0] ) - ( 107.0f / 27.0f ) ) / fabs ( columnMeanmedTable2_5_2[0] ) < 1e-6 );
assert( ( fabs(columnMeanmedTable2_5_2[1] ) - ( 143.0f / 29.0f ) ) / fabs ( columnMeanmedTable2_5_2[1] ) < 1e-6 );
assert( ( fabs(columnMeanmedTable2_5_2[2] ) - ( 183.0f / 31.0f ) ) / fabs ( columnMeanmedTable2_5_2[2] ) < 1e-6 );
assert( ( fabs(columnMeanmedTable2_5_2[3] ) - ( 227.0f / 33.0f ) ) / fabs ( columnMeanmedTable2_5_2[3] ) < 1e-6 );
assert( ( fabs(columnMeanmedTable2_5_2[4] ) - ( 275.0f / 35.0f ) ) / fabs ( columnMeanmedTable2_5_2[4] ) < 1e-6 );
for ( i = 0 ; i < 5 ; ++i) {
printf("columnMeanmedTable2_5_2[%d] = %e\n", i, columnMeanmedTable2_5_2[i]);
}
return 0;
}
*/
/*
static int srowvariancefaTest(void) {
int i = 0;
float table1[9] = {1.0f, 4.0f, 7.0f, 2.0f , 5.0f, 8.0f, 3.0f, 6.0f, 9.0f};
float coef1[9] = {10.0f, 1.0f, 5.0f,11.0f , 2.0f, 6.0f,12.0f, 3.0f, 7.0f};
float table2[10] = {1.0f, 2.0f, 3.0f, 4.0f , 5.0f, 6.0f, 7.0f, 8.0f, 9.0f, 10.0f};
float coef2[10] = {11.0f, 12.0f, 13.0f, 14.0f , 15.0f, 16.0f, 17.0f, 18.0f, 19.0f, 20.0f};
float rowMeanmedTable1_3_3[3] = {0};
float rowMeanmedTable1_1_9[9] = {0};
float rowMeanmedTable1_9_1[1] = {0};
float rowMeanmedTable2_2_5[5] = {0};
float rowMeanmedTable2_5_2[2] = {0};
printf("\n>>>> Row Mean Float Array Test\n");
[ 1 2 3 ] [10 11 12 ]
[ 4 5 6 ].*[ 1 2 3 ] => [ 49 80 117 ]
[ 7 8 9 ] [ 5 6 7 ]
srowvariancefa(table1, 3, 3, coef1 , rowMeanmedTable1_3_3);
for ( i = 0 ; i < 3 ; ++i) {
printf("rowMeanmedTable1_3_3[%d] = %e\n", i, rowMeanmedTable1_3_3[i]);
}
assert( ( fabs(rowMeanmedTable1_3_3[0] ) - ( 49.0f / 16.0f ) ) / fabs ( rowMeanmedTable1_3_3[0] ) < 1e-6 );
assert( ( fabs(rowMeanmedTable1_3_3[1] ) - ( 80.0f / 19.0f ) ) / fabs ( rowMeanmedTable1_3_3[1] ) < 1e-6 );
assert( ( fabs(rowMeanmedTable1_3_3[2] ) - ( 117.0f / 22.0f ) ) / fabs ( rowMeanmedTable1_3_3[2] ) < 1e-6 );
[ 1 ]
[ 2 ]
[ 3 ]
[ 4 ]
[ 5 ] => [ 1 2 3 4 5 6 7 8 9 ]
[ 6 ]
[ 7 ]
[ 8 ]
[ 9 ]
srowvariancefa(table1, 1, 9, coef1, rowMeanmedTable1_1_9);
for ( i = 0 ; i < 9 ; ++i) {
printf("rowMeanmedTable1_1_9[%d] = %e\n", i, rowMeanmedTable1_1_9[i]);
assert(rowMeanmedTable1_1_9[i] == table1[i]);
}
[ 1 2 3 4 5 6 7 8 9 ] => [ 246 ]
srowvariancefa(table1, 9, 1, coef1, rowMeanmedTable1_9_1);
assert( ( fabs(rowMeanmedTable1_9_1[0] ) - ( 246.0f / 57.0f ) ) / fabs ( rowMeanmedTable1_9_1[0] ) < 1e-6 );
[ 1 3 5 7 9 ] .* [ 11 13 15 17 19 ]
[ 2 4 6 8 10 ] [ 12 14 16 18 20 ] => [ 3 7 11 15 19 ]
srowvariancefa(table2, 2, 5, coef2, rowMeanmedTable2_2_5);
for ( i = 0 ; i < 5 ; ++i) {
printf("rowMeanmedTable2_2_5[%d] = %e\n", i, rowMeanmedTable2_2_5[i]);
}
assert( ( fabs(rowMeanmedTable2_2_5[0] ) - ( 35.0f / 23.0f ) ) / fabs ( rowMeanmedTable2_2_5[0] ) < 1e-6 );
assert( ( fabs(rowMeanmedTable2_2_5[1] ) - ( 95.0f / 27.0f ) ) / fabs ( rowMeanmedTable2_2_5[1] ) < 1e-6 );
assert( ( fabs(rowMeanmedTable2_2_5[2] ) - ( 171.0f / 31.0f ) ) / fabs ( rowMeanmedTable2_2_5[2] ) < 1e-6 );
assert( ( fabs(rowMeanmedTable2_2_5[3] ) - ( 263.0f / 35.0f ) ) / fabs ( rowMeanmedTable2_2_5[3] ) < 1e-6 );
assert( ( fabs(rowMeanmedTable2_2_5[4] ) - ( 371.0f / 39.0f ) ) / fabs ( rowMeanmedTable2_2_5[4] ) < 1e-6 );
return 0;
}
*/
static int cvariancefsTest(void) {
printf("\n>>>> Mean Float Complex Scalar Test\n");
assert( creals(cvariancefs(FloatComplex(3.0f, 3.0f),FloatComplex(3.0f, 0.0f);)) == 0.0f );
assert( cimags(cvariancefs(FloatComplex(3.0f, 3.0f),FloatComplex(3.0f, 0.0f);)) == 0.0f );
assert( creals(cvariancefs(FloatComplex(1.123456789f, 1.123456789f),FloatComplex(1.123456789f, 1.123456789f))) == 0.0f );
assert( cimags(cvariancefs(FloatComplex(1.123456789f, 1.123456789f),FloatComplex(1.123456789f, 1.123456789f))) == 0.0f );
return 0;
}
static int cvariancefaTest(void) {
float tableR1[9] = {1.0f, 4.0f, 7.0f, 2.0f , 5.0f, 8.0f, 3.0f, 6.0f, 9.0f};
float tableI1[9] = {1.0f, 2.0f, 3.0f, 4.0f , 5.0f, 6.0f, 7.0f, 8.0f, 9.0f};
float coefR1[9] = {10.0f, 1.0f, 5.0f,11.0f , 2.0f, 6.0f,12.0f, 3.0f, 7.0f};
float coefI1[9] = { 0.0f, 0.0f, 0.0f, 0.0f , 0.0f, 0.0f, 0.0f, 0.0f, 0.0f};
floatComplex* table1 = FloatComplexMatrix (tableR1, tableI1, 9);
floatComplex* coef1 = FloatComplexMatrix (coefR1, coefI1, 9);
floatComplex result =FloatComplex(0.0f , 0.0f);
printf("\n>>>> Mean Float Complex Array Test\n");
result = cvariancefa(table1, 9, coef1);
/*printf("\nresult : %lf \t+ %lf i " ,creals(result) ,cimags(result)) ;*/
assert( fabs(creals(result) - ( 1.3834586f ) ) / fabs ( creals(result) ) < 1e-6 );
assert( fabs(cimags(result) - ( 9.6090226f ) ) / fabs ( cimags(result) ) < 1e-6 );
return 0;
}
/*
static int crowvariancefaTest(void) {
int i = 0 ;
float tableR1[9] = {1.0f, 4.0f, 7.0f, 2.0f , 5.0f, 8.0f, 3.0f, 6.0f, 9.0f};
float tableI1[9] = {1.0f, 2.0f, 3.0f, 4.0f , 5.0f, 6.0f, 7.0f, 8.0f, 9.0f};
float coefR1[9] = {10.0f, 1.0f, 5.0f,11.0f , 2.0f, 6.0f,12.0f, 3.0f, 7.0f};
float coefI1[9] = { 0.0f, 0.0f, 0.0f, 0.0f , 0.0f, 0.0f, 0.0f, 0.0f, 0.0f};
float tableR2[10] = {1.0f, 4.0f, 7.0f, 2.0f , 5.0f, 8.0f, 3.0f, 6.0f, 9.0f, 10.0f};
float tableI2[10] = {1.0f, 2.0f, 3.0f, 4.0f , 5.0f, 6.0f, 7.0f, 8.0f, 9.0f, 15.0f};
float coefR2[10] = {10.0f, 1.0f, 5.0f,11.0f , 2.0f, 6.0f,12.0f, 3.0f, 7.0f, 19.0f};
float coefI2[10] = { 0.0f, 0.0f, 0.0f, 0.0f , 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f};
floatComplex* table1 = FloatComplexMatrix (tableR1, tableI1, 9);
floatComplex* coef1 = FloatComplexMatrix (coefR1, coefI1, 9);
floatComplex* table2 = FloatComplexMatrix (tableR2, tableI2, 9);
floatComplex* coef2 = FloatComplexMatrix (coefR2, coefI2, 9);
floatComplex rowMeanmedTable1_3_3[3] = {FloatComplex(0.0f, 0.0f)};
floatComplex rowMeanmedTable1_1_9[9] = {FloatComplex(0.0f, 0.0f)};
floatComplex rowMeanmedTable1_9_1[1] = {FloatComplex(0.0f, 0.0f)};
floatComplex rowMeanmedTable2_2_5[5] = {FloatComplex(0.0f, 0.0f)};
floatComplex rowMeanmedTable2_5_2[2] = {FloatComplex(0.0f, 0.0f)};
printf("\n>>>> Row variancef Float Complex Array Test\n");
crowvariancefa(table1 , 3 , 3 , coef1 , rowMeanmedTable1_3_3);
for (i = 0 ; i < 3 ; ++i )
{
printf("rowMeanmedTable_3_3[%d] = %e + %ei\n", i, creals(rowMeanmedTable1_3_3[i]), cimags(rowMeanmedTable1_3_3[i]));
}
assert( ( fabs(cimags(rowMeanmedTable1_3_3[0]) ) - ( 27.0f / 16.0f ) ) / fabs ( cimags(rowMeanmedTable1_3_3[0]) ) < 1e-6 );
assert( ( fabs(creals(rowMeanmedTable1_3_3[0]) ) - ( 49.0f / 16.0f ) ) / fabs ( creals(rowMeanmedTable1_3_3[0]) ) < 1e-6 );
assert( ( fabs(cimags(rowMeanmedTable1_3_3[1]) ) - ( 90.0f / 19.0f ) ) / fabs ( cimags(rowMeanmedTable1_3_3[1]) ) < 1e-6 );
assert( ( fabs(creals(rowMeanmedTable1_3_3[1]) ) - ( 80.0f / 19.0f ) ) / fabs ( creals(rowMeanmedTable1_3_3[1]) ) < 1e-6 );
assert( ( fabs(cimags(rowMeanmedTable1_3_3[2]) ) - (171.0f / 22.0f ) ) / fabs ( cimags(rowMeanmedTable1_3_3[2]) ) < 1e-6 );
assert( ( fabs(creals(rowMeanmedTable1_3_3[2]) ) - (117.0f / 22.0f ) ) / fabs ( creals(rowMeanmedTable1_3_3[2]) ) < 1e-6 );
return 0;
}
*/
/*
static int ccolumnvariancefaTest(void) {
int i = 0 ;
float tableR1[9] = {1.0f, 4.0f, 7.0f, 2.0f , 5.0f, 8.0f, 3.0f, 6.0f, 9.0f};
float tableI1[9] = {1.0f, 2.0f, 3.0f, 4.0f , 5.0f, 6.0f, 7.0f, 8.0f, 9.0f};
float coefR1[9] = {10.0f, 1.0f, 5.0f,11.0f , 2.0f, 6.0f,12.0f, 3.0f, 7.0f};
float coefI1[9] = { 0.0f, 0.0f, 0.0f, 0.0f , 0.0f, 0.0f, 0.0f, 0.0f, 0.0f};
float tableR2[10] = {1.0f, 4.0f, 7.0f, 2.0f , 5.0f, 8.0f, 3.0f, 6.0f, 9.0f, 10.0f};
float tableI2[10] = {1.0f, 2.0f, 3.0f, 4.0f , 5.0f, 6.0f, 7.0f, 8.0f, 9.0f, 15.0f};
float coefR2[10] = {10.0f, 1.0f, 5.0f,11.0f , 2.0f, 6.0f,12.0f, 3.0f, 7.0f, 19.0f};
float coefI2[10] = { 0.0f, 0.0f, 0.0f, 0.0f , 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f};
floatComplex* table1 = FloatComplexMatrix (tableR1, tableI1, 9);
floatComplex* coef1 = FloatComplexMatrix (coefR1, coefI1, 9);
floatComplex* table2 = FloatComplexMatrix (tableR2, tableI2, 9);
floatComplex* coef2 = FloatComplexMatrix (coefR2, coefI2, 9);
floatComplex columnMeanmedTable1_3_3[3] = {FloatComplex(0.0f, 0.0f)};
floatComplex rowMeanmedTable1_1_9[9] = {FloatComplex(0.0f, 0.0f)};
floatComplex rowMeanmedTable1_9_1[1] = {FloatComplex(0.0f, 0.0f)};
floatComplex rowMeanmedTable2_2_5[5] = {FloatComplex(0.0f, 0.0f)};
floatComplex rowMeanmedTable2_5_2[2] = {FloatComplex(0.0f, 0.0f)};
printf("\n>>>> Column variancef Float Complex Array Test\n");
ccolumnvariancefa(table1 , 3 , 3 , coef1 , columnMeanmedTable1_3_3);
for (i = 0 ; i < 3 ; ++i )
{
printf("columnMeanmedTable_3_3[%d] = %e + %ei\n", i, creals(columnMeanmedTable1_3_3[i]), cimags(columnMeanmedTable1_3_3[i]));
}
assert( ( fabs(cimags(columnMeanmedTable1_3_3[0]) ) - (138.0f / 33.0f ) ) / fabs ( cimags(columnMeanmedTable1_3_3[0]) ) < 1e-6 );
assert( ( fabs(creals(columnMeanmedTable1_3_3[0]) ) - ( 68.0f / 33.0f ) ) / fabs ( creals(columnMeanmedTable1_3_3[0]) ) < 1e-6 );
assert( ( fabs(cimags(columnMeanmedTable1_3_3[1]) ) - ( 36.0f / 6.0f ) ) / fabs ( cimags(columnMeanmedTable1_3_3[1]) ) < 1e-6 );
assert( ( fabs(creals(columnMeanmedTable1_3_3[1]) ) - ( 32.0f / 6.0f ) ) / fabs ( creals(columnMeanmedTable1_3_3[1]) ) < 1e-6 );
assert( ( fabs(cimags(columnMeanmedTable1_3_3[2]) ) - (114.0f / 18.0f ) ) / fabs ( cimags(columnMeanmedTable1_3_3[2]) ) < 1e-6 );
assert( ( fabs(creals(columnMeanmedTable1_3_3[2]) ) - (146.0f / 18.0f ) ) / fabs ( creals(columnMeanmedTable1_3_3[2]) ) < 1e-6 );
return 0;
}
*/
static int testvariancef(void) {
svariancefsTest();
svariancefaTest();
/*scolumnvariancefaTest();
srowvariancefaTest();*/
cvariancefsTest();
cvariancefaTest();
/*crowvariancefaTest();
ccolumnvariancefaTest();
*/
return 0;
}
int main(void) {
assert(testvariancef() == 0);
return 0;
}