/* * 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 #include #include #include "meanf.h" /* #define LOCAL_DEBUG */ #define ERROR(x) printf("diff = %e\n", x) static int dmeanfsTest(void) { double value1 = 3.0; double value2 = 1.123456789; double coef1 = 56 ; double coef2 = 2 ; coef1 = 56 ; coef2 = 2 ; printf("\n>>>> Meanf Double Scalar Test\n"); assert( ( fabs(dmeanfs(value1,coef1) ) - ( 3.0 ) ) / fabs ( dmeanfs(value1,coef1) ) < 3e-16 ); assert( ( fabs(dmeanfs(value2,coef2) ) - ( 1.123456789 ) ) / fabs ( dmeanfs(value2,coef2) ) < 3e-16 ); return 0; } static int dmeanfaTest(void) { double table1[3] = {3.0, 3.0, 3.0}; 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>>>> Meanf Float Array Test\n"); assert(dmeanfa(table1, 3, coef1) == 54.0 / 18.0); assert((dmeanfa(table2, 5, coef2) - (3.186784563*3.0 + 4.186784563*4.0 + 5.186784563*5.0 + 6.186784563*6.0 + 7.186784563*7.0) / 25.0) / dmeanfa(table2, 5 ,coef2) < 3e-16); return 0; } static int dcolumnmeanfaTest(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 Mean 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 ] */ dcolumnmeanfa(table1, 3, 3, coef1 ,columnMeanmedTable1_3_3); assert( ( fabs(columnMeanmedTable1_3_3[0] ) - ( 68.0 / 33.0 ) ) / fabs ( columnMeanmedTable1_3_3[0] ) < 3e-16 ); assert( ( fabs(columnMeanmedTable1_3_3[1] ) - ( 32.0 / 6.0 ) ) / fabs ( columnMeanmedTable1_3_3[1] ) < 3e-16 ); assert( ( fabs(columnMeanmedTable1_3_3[2] ) - ( 146.0 / 18.0 ) ) / fabs ( columnMeanmedTable1_3_3[2] ) < 3e-16 ); /* [ 1 2 3 4 5 6 7 8 9 ] => [ 45 ] */ dcolumnmeanfa(table1, 1, 9, coef1 ,columnMeanmedTable1_1_9); assert( ( fabs(columnMeanmedTable1_1_9[0] ) - ( 246.0 / 57.0 ) ) / fabs ( columnMeanmedTable1_1_9[0] ) < 3e-16 ); /* [ 1 ] [ 2 ] [ 3 ] [ 4 ] [ 5 ] => [ 1 2 3 4 5 6 7 8 9 ] [ 6 ] [ 7 ] [ 8 ] [ 9 ] */ dcolumnmeanfa(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 ] */ dcolumnmeanfa(table2, 2, 5, coef2 , columnMeanmedTable2_2_5); assert( ( fabs(columnMeanmedTable2_2_5[0] ) - ( 415.0 / 75.0 ) ) / fabs ( columnMeanmedTable2_2_5[0] ) < 3e-16 ); assert( ( fabs(columnMeanmedTable2_2_5[1] ) - ( 520.0 / 80.0 ) ) / fabs ( columnMeanmedTable2_2_5[1] ) < 3e-16 ); 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 ] */ dcolumnmeanfa(table2, 5, 2, coef2 ,columnMeanmedTable2_5_2); assert( ( fabs(columnMeanmedTable2_5_2[0] ) - ( 107.0 / 27.0 ) ) / fabs ( columnMeanmedTable2_5_2[0] ) < 3e-16 ); assert( ( fabs(columnMeanmedTable2_5_2[1] ) - ( 143.0 / 29.0 ) ) / fabs ( columnMeanmedTable2_5_2[1] ) < 3e-16 ); assert( ( fabs(columnMeanmedTable2_5_2[2] ) - ( 183.0 / 31.0 ) ) / fabs ( columnMeanmedTable2_5_2[2] ) < 3e-16 ); assert( ( fabs(columnMeanmedTable2_5_2[3] ) - ( 227.0 / 33.0 ) ) / fabs ( columnMeanmedTable2_5_2[3] ) < 3e-16 ); assert( ( fabs(columnMeanmedTable2_5_2[4] ) - ( 275.0 / 35.0 ) ) / fabs ( columnMeanmedTable2_5_2[4] ) < 3e-16 ); for ( i = 0 ; i < 5 ; ++i) { printf("columnMeanmedTable2_5_2[%d] = %e\n", i, columnMeanmedTable2_5_2[i]); } return 0; } static int drowmeanfaTest(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}; 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 ] */ drowmeanfa(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] ) < 3e-16 ); assert( ( fabs(rowMeanmedTable1_3_3[1] ) - ( 80.0 / 19.0 ) ) / fabs ( rowMeanmedTable1_3_3[1] ) < 3e-16 ); assert( ( fabs(rowMeanmedTable1_3_3[2] ) - ( 117.0 / 22.0 ) ) / fabs ( rowMeanmedTable1_3_3[2] ) < 3e-16 ); /* [ 1 ] [ 2 ] [ 3 ] [ 4 ] [ 5 ] => [ 1 2 3 4 5 6 7 8 9 ] [ 6 ] [ 7 ] [ 8 ] [ 9 ] */ drowmeanfa(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 ] */ drowmeanfa(table1, 9, 1, coef1, rowMeanmedTable1_9_1); assert( ( fabs(rowMeanmedTable1_9_1[0] ) - ( 246.0 / 57.0 ) ) / fabs ( rowMeanmedTable1_9_1[0] ) < 3e-16 ); /* [ 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 ] */ drowmeanfa(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] ) < 3e-16 ); assert( ( fabs(rowMeanmedTable2_2_5[1] ) - ( 95.0 / 27.0 ) ) / fabs ( rowMeanmedTable2_2_5[1] ) < 3e-16 ); assert( ( fabs(rowMeanmedTable2_2_5[2] ) - ( 171.0 / 31.0 ) ) / fabs ( rowMeanmedTable2_2_5[2] ) < 3e-16 ); assert( ( fabs(rowMeanmedTable2_2_5[3] ) - ( 263.0 / 35.0 ) ) / fabs ( rowMeanmedTable2_2_5[3] ) < 3e-16 ); assert( ( fabs(rowMeanmedTable2_2_5[4] ) - ( 371.0 / 39.0 ) ) / fabs ( rowMeanmedTable2_2_5[4] ) < 3e-16 ); return 0; } static int zmeanfsTest(void) { doubleComplex value1 = DoubleComplex(3.0, 3.0); doubleComplex coef1 = DoubleComplex(3.0, 0.0); doubleComplex value2 = DoubleComplex(1.123456789, 1.123456789); doubleComplex coef2 = DoubleComplex(9.0, 0.0); coef1 = DoubleComplex(3.0, 0.0); coef2 = DoubleComplex(9.0, 0.0); printf("\n>>>> Mean Double Complex Scalar Test\n"); assert( ( fabs(zreals(zmeanfs(value1,coef1)) ) - ( 3.0 ) ) / fabs ( zreals(zmeanfs(value1,coef1)) ) < 3e-16 ); assert( ( fabs(zimags(zmeanfs(value1,coef1)) ) - ( 3.0 ) ) / fabs ( zimags(zmeanfs(value1,coef1)) ) < 3e-16 ); assert( ( fabs(zreals(zmeanfs(value2,coef1)) ) - ( 1.123456789 ) ) / fabs ( zreals(zmeanfs(value2,coef1)) ) < 3e-16 ); assert( ( fabs(zimags(zmeanfs(value2,coef1)) ) - ( 1.123456789 ) ) / fabs ( zimags(zmeanfs(value2,coef1)) ) < 3e-16 ); return 0; } static int zmeanfaTest(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); printf("\n>>>> Mean Double Complex Array Test\n"); assert( ( fabs(zreals(zmeanfa(table1, 3, coef1)) ) - ( 246.0 / 57.0 ) ) / fabs ( zreals(zmeanfa(table1, 3, coef1)) ) < 3e-16 ); assert( ( fabs(zimags(zmeanfa(table1, 3, coef1)) ) - ( 288.0 / 57.0 ) ) / fabs ( zimags(zmeanfa(table1, 3, coef1)) ) < 3e-16 );/* */ return 0; } static int zrowmeanfaTest(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] = { 0.0, 0.0, 0.0, 0.0 , 0.0, 0.0, 0.0, 0.0, 0.0 , 0.0}; double coefR2[10] = { 0.0, 0.0, 0.0, 0.0 , 0.0, 0.0, 0.0, 0.0, 0.0 , 0.0}; double coefI2[10] ={10.0, 1.0, 5.0,11.0 , 2.0, 6.0,12.0, 3.0, 7.0, 19.0}; doubleComplex* table1 = DoubleComplexMatrix (tableR1, tableI1, 9); doubleComplex* coef1 = DoubleComplexMatrix (coefR1, coefI1, 9); doubleComplex* table2 = DoubleComplexMatrix (tableR2, tableI2, 10); doubleComplex* coef2 = DoubleComplexMatrix (coefR2, coefI2, 10); doubleComplex rowMeanmedTable1_3_3[3]; doubleComplex rowMeanmedTable2_2_5[5]; rowMeanmedTable1_3_3[0] = DoubleComplex(0.0, 0.0); rowMeanmedTable1_3_3[1] = DoubleComplex(0.0, 0.0); rowMeanmedTable1_3_3[2] = DoubleComplex(0.0, 0.0); rowMeanmedTable2_2_5[0] = DoubleComplex(0.0, 0.0); rowMeanmedTable2_2_5[1] = DoubleComplex(0.0, 0.0); rowMeanmedTable2_2_5[2] = DoubleComplex(0.0, 0.0); rowMeanmedTable2_2_5[3] = DoubleComplex(0.0, 0.0); rowMeanmedTable2_2_5[4] = 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_5_2[2] = {DoubleComplex(0.0, 0.0)}; */ printf("\n>>>> Row Meanf Double Complex Array Test\n"); /**/ zrowmeanfa(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]) ) < 3e-16 ); assert( fabs(zreals(rowMeanmedTable1_3_3[0]) - ( 49.0 / 16.0 ) ) / fabs ( zreals(rowMeanmedTable1_3_3[0]) ) < 3e-16 ); assert( fabs(zimags(rowMeanmedTable1_3_3[1]) - ( 90.0 / 19.0 ) ) / fabs ( zimags(rowMeanmedTable1_3_3[1]) ) < 3e-16 ); assert( fabs(zreals(rowMeanmedTable1_3_3[1]) - ( 80.0 / 19.0 ) ) / fabs ( zreals(rowMeanmedTable1_3_3[1]) ) < 3e-16 ); assert( fabs(zimags(rowMeanmedTable1_3_3[2]) - (171.0 / 22.0 ) ) / fabs ( zimags(rowMeanmedTable1_3_3[2]) ) < 3e-16 ); assert( fabs(zreals(rowMeanmedTable1_3_3[2]) - (117.0 / 22.0 ) ) / fabs ( zreals(rowMeanmedTable1_3_3[2]) ) < 3e-16 ); /**/ printf("\n\n"); zrowmeanfa(table2 , 2 , 5 , coef2 , rowMeanmedTable2_2_5); for (i = 0 ; i < 5 ; ++i ) { printf("rowMeanmedTable_2_5[%d] = %e + %ei\n", i, zreals(rowMeanmedTable2_2_5[i]), zimags(rowMeanmedTable2_2_5[i])); } assert( fabs(zreals(rowMeanmedTable2_2_5[0]) - 1.2727273 ) / fabs ( zreals(rowMeanmedTable2_2_5[0]) ) < 1e-6 ); assert( zimags(rowMeanmedTable2_2_5[0]) == 0); assert( fabs(zreals(rowMeanmedTable2_2_5[1]) - 3.5625000 ) / fabs ( zreals(rowMeanmedTable2_2_5[1]) ) < 1e-6 ); assert( zimags(rowMeanmedTable2_2_5[1]) == 0); assert( fabs(zreals(rowMeanmedTable2_2_5[2]) - 7.2500000 ) / fabs ( zreals(rowMeanmedTable2_2_5[2]) ) < 1e-6 ); assert( zimags(rowMeanmedTable2_2_5[2]) == 0); assert( fabs(zreals(rowMeanmedTable2_2_5[3]) - 3.6000000 ) / fabs ( zreals(rowMeanmedTable2_2_5[3]) ) < 1e-6 ); assert( zimags(rowMeanmedTable2_2_5[3]) == 0); assert( fabs(zreals(rowMeanmedTable2_2_5[4]) - 9.7307692 ) / fabs ( zreals(rowMeanmedTable2_2_5[4]) ) < 1e-6 ); assert( zimags(rowMeanmedTable2_2_5[4]) == 0); return 0; } static int zcolumnmeanfaTest(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 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)}; */ columnMeanmedTable1_3_3[0] = DoubleComplex(0.0, 0.0); columnMeanmedTable1_3_3[1] = DoubleComplex(0.0, 0.0); columnMeanmedTable1_3_3[2] = DoubleComplex(0.0, 0.0); printf("\n>>>> Column Meanf Double Complex Array Test\n"); /**/ zcolumnmeanfa(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]) ) < 3e-16 ); assert( ( fabs(zreals(columnMeanmedTable1_3_3[0]) ) - ( 68.0 / 33.0 ) ) / fabs ( zreals(columnMeanmedTable1_3_3[0]) ) < 3e-16 ); assert( ( fabs(zimags(columnMeanmedTable1_3_3[1]) ) - ( 36.0 / 6.0 ) ) / fabs ( zimags(columnMeanmedTable1_3_3[1]) ) < 3e-16 ); assert( ( fabs(zreals(columnMeanmedTable1_3_3[1]) ) - ( 32.0 / 6.0 ) ) / fabs ( zreals(columnMeanmedTable1_3_3[1]) ) < 3e-16 ); assert( ( fabs(zimags(columnMeanmedTable1_3_3[2]) ) - (114.0 / 18.0 ) ) / fabs ( zimags(columnMeanmedTable1_3_3[2]) ) < 3e-16 ); assert( ( fabs(zreals(columnMeanmedTable1_3_3[2]) ) - (146.0 / 18.0 ) ) / fabs ( zreals(columnMeanmedTable1_3_3[2]) ) < 3e-16 ); return 0; } static int testMeanf(void) { dmeanfsTest(); dmeanfaTest(); dcolumnmeanfaTest(); drowmeanfaTest(); zmeanfsTest(); zmeanfaTest(); zrowmeanfaTest(); zcolumnmeanfaTest(); return 0; } int main(void) { assert(testMeanf() == 0); return 0; }