/*
* 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)
static int dvariancefsTest(void) {
printf("\n>>>> variancef Double Scalar Test\n");
printf("result : %e " ,dvariancefs(value1,coef1)) ;
assert( ( dvariancefs(3.0,56.0) ) == 0.0 );
assert( ( dvariancefs( 1.123456789 ,2.0) ) == 0.0 );
return 0;
}
static int dvariancefaTest(void) {
double table1[3] = {3.0, 6.0, 9.0};
double coef1[3] = {10.0, 2.0, 6.0};
double table2[5] = {3.186784563,
4.186784563,
5.186784563,
6.186784563,
7.186784563};
double coef2[5] = {3.0,
4.0,
5.0,
6.0,
7.0};
printf("\n>>>> variancef Double Array Test\n");
printf("result1 : %e " ,dvariancefa(table1, 3, coef1)) ;
printf("result2 : %e " ,dvariancefa(table2, 5, coef2)) ;
assert((dvariancefa(table1, 3, coef1) - 8.000000000 )/ dvariancefa(table1, 3 ,coef1) < 1e-6);
assert((dvariancefa(table2, 5, coef2) - 1.916666666 )/ dvariancefa(table2, 5 ,coef2) < 1e-6);
return 0;
}
/*
static int dcolumnvariancefaTest(void) {
int i = 0;
double table1[9] = {1.0, 4.0, 7.0, 2.0 , 5.0, 8.0, 3.0, 6.0, 9.0};
double coef1[9] = {10.0, 1.0, 5.0,11.0 , 2.0, 6.0,12.0, 3.0, 7.0};
double table2[10] = {1.0, 2.0, 3.0, 4.0 , 5.0, 6.0, 7.0, 8.0, 9.0, 10.0};
double coef2[10] = {11.0, 12.0, 13.0, 14.0 , 15.0, 16.0, 17.0, 18.0, 19.0, 20.0};
double columnMeanmedTable1_3_3[3] = {0};
double columnMeanmedTable1_1_9[1] = {0};
double columnMeanmedTable1_9_1[9] = {0};
double columnMeanmedTable2_2_5[2] = {0};
double columnMeanmedTable2_5_2[5] = {0};
printf("\n>>>> Column Variancef Double Array Test\n");
[ 1 2 3 ] [10 11 12 ]
[ 4 5 6 ].*[ 1 2 3 ] => [ 68 32 146 ]
[ 7 8 9 ] [ 5 6 7 ]
dcolumnvariancefa(table1, 3, 3, coef1 ,columnMeanmedTable1_3_3);
assert( ( fabs(columnMeanmedTable1_3_3[0] ) - ( 68.0 / 33.0 ) ) / fabs ( columnMeanmedTable1_3_3[0] ) < 1e-6 );
assert( ( fabs(columnMeanmedTable1_3_3[1] ) - ( 32.0 / 6.0 ) ) / fabs ( columnMeanmedTable1_3_3[1] ) < 1e-6 );
assert( ( fabs(columnMeanmedTable1_3_3[2] ) - ( 146.0 / 18.0 ) ) / fabs ( columnMeanmedTable1_3_3[2] ) < 1e-6 );
[ 1 2 3 4 5 6 7 8 9 ] => [ 45 ]
dcolumnvariancefa(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 ]
dcolumnvariancefa(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 ]
dcolumnvariancefa(table2, 2, 5, coef2 , columnMeanmedTable2_2_5);
assert( ( fabs(columnMeanmedTable2_2_5[0] ) - ( 415.0 / 75.0 ) ) / fabs ( columnMeanmedTable2_2_5[0] ) < 1e-6 );
assert( ( fabs(columnMeanmedTable2_2_5[1] ) - ( 520.0 / 80.0 ) ) / 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 ]
dcolumnvariancefa(table2, 5, 2, coef2 ,columnMeanmedTable2_5_2);
assert( ( fabs(columnMeanmedTable2_5_2[0] ) - ( 107.0 / 27.0 ) ) / fabs ( columnMeanmedTable2_5_2[0] ) < 1e-6 );
assert( ( fabs(columnMeanmedTable2_5_2[1] ) - ( 143.0 / 29.0 ) ) / fabs ( columnMeanmedTable2_5_2[1] ) < 1e-6 );
assert( ( fabs(columnMeanmedTable2_5_2[2] ) - ( 183.0 / 31.0 ) ) / fabs ( columnMeanmedTable2_5_2[2] ) < 1e-6 );
assert( ( fabs(columnMeanmedTable2_5_2[3] ) - ( 227.0 / 33.0 ) ) / fabs ( columnMeanmedTable2_5_2[3] ) < 1e-6 );
assert( ( fabs(columnMeanmedTable2_5_2[4] ) - ( 275.0 / 35.0 ) ) / 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;
double table1[9] = {1.0, 4.0, 7.0, 2.0 , 5.0, 8.0, 3.0, 6.0, 9.0};
double coef1[9] = {10.0, 1.0, 5.0,11.0 , 2.0, 6.0,12.0, 3.0, 7.0};
double table2[10] = {1.0, 2.0, 3.0, 4.0 , 5.0, 6.0, 7.0, 8.0, 9.0, 10.0};
double coef2[10] = {11.0, 12.0, 13.0, 14.0 , 15.0, 16.0, 17.0, 18.0, 19.0, 20.0};
double rowMeanmedTable1_3_3[3] = {0};
double rowMeanmedTable1_1_9[9] = {0};
double rowMeanmedTable1_9_1[1] = {0};
double rowMeanmedTable2_2_5[5] = {0};
double rowMeanmedTable2_5_2[2] = {0};
printf("\n>>>> Row Mean Double 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] ) - ( 49.0 / 16.0 ) ) / fabs ( rowMeanmedTable1_3_3[0] ) < 1e-6 );
assert( ( fabs(rowMeanmedTable1_3_3[1] ) - ( 80.0 / 19.0 ) ) / fabs ( rowMeanmedTable1_3_3[1] ) < 1e-6 );
assert( ( fabs(rowMeanmedTable1_3_3[2] ) - ( 117.0 / 22.0 ) ) / 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] ) - ( 246.0 / 57.0 ) ) / 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] ) - ( 35.0 / 23.0 ) ) / fabs ( rowMeanmedTable2_2_5[0] ) < 1e-6 );
assert( ( fabs(rowMeanmedTable2_2_5[1] ) - ( 95.0 / 27.0 ) ) / fabs ( rowMeanmedTable2_2_5[1] ) < 1e-6 );
assert( ( fabs(rowMeanmedTable2_2_5[2] ) - ( 171.0 / 31.0 ) ) / fabs ( rowMeanmedTable2_2_5[2] ) < 1e-6 );
assert( ( fabs(rowMeanmedTable2_2_5[3] ) - ( 263.0 / 35.0 ) ) / fabs ( rowMeanmedTable2_2_5[3] ) < 1e-6 );
assert( ( fabs(rowMeanmedTable2_2_5[4] ) - ( 371.0 / 39.0 ) ) / fabs ( rowMeanmedTable2_2_5[4] ) < 1e-6 );
return 0;
}
*/
static int zvariancefsTest(void) {
printf("\n>>>> Mean Double Complex Scalar Test\n");
assert( zreals(zvariancefs(DoubleComplex(3.0, 0.0),DoubleComplex(3.0, 0.0))) == 0.0 );
assert( zimags(zvariancefs(DoubleComplex(3.0, 0.0),DoubleComplex(3.0, 0.0))) == 0.0 );
assert( zreals(zvariancefs(DoubleComplex(1.123456789, 1.123456789),DoubleComplex(9.0, 0.0))) == 0.0 );
assert( zimags(zvariancefs(DoubleComplex(1.123456789, 1.123456789),DoubleComplex(9.0, 0.0))) == 0.0 );
return 0;
}
static int zvariancefaTest(void) {
double tableR1[9] = {1.0, 4.0, 7.0, 2.0 , 5.0, 8.0, 3.0, 6.0, 9.0};
double tableI1[9] = {1.0, 2.0, 3.0, 4.0 , 5.0, 6.0, 7.0, 8.0, 9.0};
double coefR1[9] = {10.0, 1.0, 5.0,11.0 , 2.0, 6.0,12.0, 3.0, 7.0};
double coefI1[9] = { 0.0, 0.0, 0.0, 0.0 , 0.0, 0.0, 0.0, 0.0, 0.0};
doubleComplex* table1 = DoubleComplexMatrix (tableR1, tableI1, 9);
doubleComplex* coef1 = DoubleComplexMatrix (coefR1, coefI1, 9);
doubleComplex result =DoubleComplex(0.0 , 0.0);
printf("\n>>>> Mean Double Complex Array Test\n");
result = zvariancefa(table1, 9, coef1);
/*printf("\nresult : %e \t+ %e i " ,zreals(result) ,zimags(result)) ;*/
assert( fabs(zreals(result) - ( 1.3834586f ) ) / fabs ( zreals(result) ) < 1e-6 );
assert( fabs(zimags(result) - ( 9.6090226f ) ) / fabs ( zimags(result) ) < 1e-6 );
return 0;
}
/*
static int crowvariancefaTest(void) {
int i = 0 ;
double tableR1[9] = {1.0, 4.0, 7.0, 2.0 , 5.0, 8.0, 3.0, 6.0, 9.0};
double tableI1[9] = {1.0, 2.0, 3.0, 4.0 , 5.0, 6.0, 7.0, 8.0, 9.0};
double coefR1[9] = {10.0, 1.0, 5.0,11.0 , 2.0, 6.0,12.0, 3.0, 7.0};
double coefI1[9] = { 0.0, 0.0, 0.0, 0.0 , 0.0, 0.0, 0.0, 0.0, 0.0};
double tableR2[10] = {1.0, 4.0, 7.0, 2.0 , 5.0, 8.0, 3.0, 6.0, 9.0, 10.0};
double tableI2[10] = {1.0, 2.0, 3.0, 4.0 , 5.0, 6.0, 7.0, 8.0, 9.0, 15.0};
double coefR2[10] = {10.0, 1.0, 5.0,11.0 , 2.0, 6.0,12.0, 3.0, 7.0, 19.0};
double coefI2[10] = { 0.0, 0.0, 0.0, 0.0 , 0.0, 0.0, 0.0, 0.0, 0.0, 0.0};
doubleComplex* table1 = DoubleComplexMatrix (tableR1, tableI1, 9);
doubleComplex* coef1 = DoubleComplexMatrix (coefR1, coefI1, 9);
doubleComplex* table2 = DoubleComplexMatrix (tableR2, tableI2, 9);
doubleComplex* coef2 = DoubleComplexMatrix (coefR2, coefI2, 9);
doubleComplex rowMeanmedTable1_3_3[3] = {DoubleComplex(0.0, 0.0)};
doubleComplex rowMeanmedTable1_1_9[9] = {DoubleComplex(0.0, 0.0)};
doubleComplex rowMeanmedTable1_9_1[1] = {DoubleComplex(0.0, 0.0)};
doubleComplex rowMeanmedTable2_2_5[5] = {DoubleComplex(0.0, 0.0)};
doubleComplex rowMeanmedTable2_5_2[2] = {DoubleComplex(0.0, 0.0)};
printf("\n>>>> Row variancef Double 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, zreals(rowMeanmedTable1_3_3[i]), zimags(rowMeanmedTable1_3_3[i]));
}
assert( ( fabs(zimags(rowMeanmedTable1_3_3[0]) ) - ( 27.0 / 16.0 ) ) / fabs ( zimags(rowMeanmedTable1_3_3[0]) ) < 1e-6 );
assert( ( fabs(zreals(rowMeanmedTable1_3_3[0]) ) - ( 49.0 / 16.0 ) ) / fabs ( zreals(rowMeanmedTable1_3_3[0]) ) < 1e-6 );
assert( ( fabs(zimags(rowMeanmedTable1_3_3[1]) ) - ( 90.0 / 19.0 ) ) / fabs ( zimags(rowMeanmedTable1_3_3[1]) ) < 1e-6 );
assert( ( fabs(zreals(rowMeanmedTable1_3_3[1]) ) - ( 80.0 / 19.0 ) ) / fabs ( zreals(rowMeanmedTable1_3_3[1]) ) < 1e-6 );
assert( ( fabs(zimags(rowMeanmedTable1_3_3[2]) ) - (171.0 / 22.0 ) ) / fabs ( zimags(rowMeanmedTable1_3_3[2]) ) < 1e-6 );
assert( ( fabs(zreals(rowMeanmedTable1_3_3[2]) ) - (117.0 / 22.0 ) ) / fabs ( zreals(rowMeanmedTable1_3_3[2]) ) < 1e-6 );
return 0;
}
*/
/*
static int scolumnvariancefaTest(void) {
int i = 0 ;
double tableR1[9] = {1.0, 4.0, 7.0, 2.0 , 5.0, 8.0, 3.0, 6.0, 9.0};
double tableI1[9] = {1.0, 2.0, 3.0, 4.0 , 5.0, 6.0, 7.0, 8.0, 9.0};
double coefR1[9] = {10.0, 1.0, 5.0,11.0 , 2.0, 6.0,12.0, 3.0, 7.0};
double coefI1[9] = { 0.0, 0.0, 0.0, 0.0 , 0.0, 0.0, 0.0, 0.0, 0.0};
double tableR2[10] = {1.0, 4.0, 7.0, 2.0 , 5.0, 8.0, 3.0, 6.0, 9.0, 10.0};
double tableI2[10] = {1.0, 2.0, 3.0, 4.0 , 5.0, 6.0, 7.0, 8.0, 9.0, 15.0};
double coefR2[10] = {10.0, 1.0, 5.0,11.0 , 2.0, 6.0,12.0, 3.0, 7.0, 19.0};
double coefI2[10] = { 0.0, 0.0, 0.0, 0.0 , 0.0, 0.0, 0.0, 0.0, 0.0, 0.0};
doubleComplex* table1 = DoubleComplexMatrix (tableR1, tableI1, 9);
doubleComplex* coef1 = DoubleComplexMatrix (coefR1, coefI1, 9);
doubleComplex* table2 = DoubleComplexMatrix (tableR2, tableI2, 9);
doubleComplex* coef2 = DoubleComplexMatrix (coefR2, coefI2, 9);
doubleComplex columnMeanmedTable1_3_3[3] = {DoubleComplex(0.0, 0.0)};
doubleComplex rowMeanmedTable1_1_9[9] = {DoubleComplex(0.0, 0.0)};
doubleComplex rowMeanmedTable1_9_1[1] = {DoubleComplex(0.0, 0.0)};
doubleComplex rowMeanmedTable2_2_5[5] = {DoubleComplex(0.0, 0.0)};
doubleComplex rowMeanmedTable2_5_2[2] = {DoubleComplex(0.0, 0.0)};
printf("\n>>>> Column variancef Double Complex Array Test\n");
scolumnvariancefa(table1 , 3 , 3 , coef1 , columnMeanmedTable1_3_3);
for (i = 0 ; i < 3 ; ++i )
{
printf("columnMeanmedTable_3_3[%d] = %e + %ei\n", i, zreals(columnMeanmedTable1_3_3[i]), zimags(columnMeanmedTable1_3_3[i]));
}
assert( ( fabs(zimags(columnMeanmedTable1_3_3[0]) ) - (138.0 / 33.0 ) ) / fabs ( zimags(columnMeanmedTable1_3_3[0]) ) < 1e-6 );
assert( ( fabs(zreals(columnMeanmedTable1_3_3[0]) ) - ( 68.0 / 33.0 ) ) / fabs ( zreals(columnMeanmedTable1_3_3[0]) ) < 1e-6 );
assert( ( fabs(zimags(columnMeanmedTable1_3_3[1]) ) - ( 36.0 / 6.0 ) ) / fabs ( zimags(columnMeanmedTable1_3_3[1]) ) < 1e-6 );
assert( ( fabs(zreals(columnMeanmedTable1_3_3[1]) ) - ( 32.0 / 6.0 ) ) / fabs ( zreals(columnMeanmedTable1_3_3[1]) ) < 1e-6 );
assert( ( fabs(zimags(columnMeanmedTable1_3_3[2]) ) - (114.0 / 18.0 ) ) / fabs ( zimags(columnMeanmedTable1_3_3[2]) ) < 1e-6 );
assert( ( fabs(zreals(columnMeanmedTable1_3_3[2]) ) - (146.0 / 18.0 ) ) / fabs ( zreals(columnMeanmedTable1_3_3[2]) ) < 1e-6 );
return 0;
}
*/
static int testvariancef(void) {
dvariancefsTest();
dvariancefaTest();
/*dcolumnvariancefaTest();
srowvariancefaTest();*/
zvariancefsTest();
zvariancefaTest();
/*crowvariancefaTest();
scolumnvariancefaTest();
*/
return 0;
}
int main(void) {
assert(testvariancef() == 0);
return 0;
}