/* * Scilab ( http://www.scilab.org/ ) - This file is part of Scilab * Copyright (C) 2008-2008 - INRIA - Bruno JOFRET * * 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 "mean.h" /* #define LOCAL_DEBUG */ #define ERROR(x) printf("diff = %e\n", x) static int dmeansTest(void) { double value1 = 3.0; double value2 = 1.123456789; printf("\n>>>> Mean Double Scalar Test\n"); assert( ( fabs(dmeans(value1) ) - ( 3.0 ) ) / fabs ( dmeans(value1) ) < 3e-16 ); assert( ( fabs(dmeans(value2) ) - ( 1.123456789 ) ) / fabs ( dmeans(value2) ) < 3e-16 ); return 0; } static int dmeanaTest(void) { double table1[3] = {3.0, 3.0, 3.0}; double table2[5] = {9.186784563, 9.186784563, 9.186784563, 9.186784563, 9.186784563}; printf("\n>>>> Mean Double Array Test\n"); assert( ( fabs(dmeana(table1, 3) ) - ( 9.0 / 3.0 ) ) / fabs ( dmeana(table1, 3) ) < 3e-16 ); assert(( ( fabs(dmeana(table2, 5) ) - ( (9.186784563 + 9.186784563 + 9.186784563 + 9.186784563 + 9.186784563) / 5.0) ) ) / fabs ( dmeana(table2, 5) ) < 3e-16 ); return 0; } static int dcolumnmeanaTest(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 table2[10] = {1.0, 2.0, 3.0, 4.0 , 5.0, 6.0, 7.0, 8.0, 9.0, 10.0}; 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 ] [ 4 5 6 ] => [ 6 15 24 ] [ 7 8 9 ] */ dcolumnmeana(table1, 3, 3,columnMeanmedTable1_3_3); assert( ( fabs(columnMeanmedTable1_3_3[0] ) - ( 6.0 / 3.0 ) ) / fabs ( columnMeanmedTable1_3_3[0] ) < 3e-16 ); assert( ( fabs(columnMeanmedTable1_3_3[1] ) - ( 15.0 / 3.0 ) ) / fabs ( columnMeanmedTable1_3_3[1] ) < 3e-16 ); assert( ( fabs(columnMeanmedTable1_3_3[2] ) - ( 24.0 / 3.0 ) ) / fabs ( columnMeanmedTable1_3_3[2] ) < 3e-16 ); /* [ 1 2 3 4 5 6 7 8 9 ] => [ 45 ] */ dcolumnmeana(table1, 1, 9,columnMeanmedTable1_1_9); assert( ( fabs(columnMeanmedTable1_1_9[0] ) - ( 45.0 / 9.0 ) ) / 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 ] */ dcolumnmeana(table1, 9, 1,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 ] [ 2 4 6 8 10 ] => [ 25 30 ] */ dcolumnmeana(table2, 2, 5,columnMeanmedTable2_2_5); assert( ( fabs(columnMeanmedTable2_2_5[0] ) - ( 25.0 / 5.0 ) ) / fabs ( columnMeanmedTable2_2_5[0] ) < 3e-16 ); assert( ( fabs(columnMeanmedTable2_2_5[1] ) - ( 30.0 / 5.0 ) ) / 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 ] [ 2 7 ] => [ 7 9 11 13 15 ] [ 3 8 ] [ 4 9 ] [ 5 10 ] */ dcolumnmeana(table2, 5, 2,columnMeanmedTable2_5_2); assert( ( fabs(columnMeanmedTable2_5_2[0] ) - ( 7.0 / 2.0 ) ) / fabs ( columnMeanmedTable2_5_2[0] ) < 3e-16 ); assert( ( fabs(columnMeanmedTable2_5_2[1] ) - ( 9.0 / 2.0 ) ) / fabs ( columnMeanmedTable2_5_2[1] ) < 3e-16 ); assert( ( fabs(columnMeanmedTable2_5_2[2] ) - ( 11.0 / 2.0 ) ) / fabs ( columnMeanmedTable2_5_2[2] ) < 3e-16 ); assert( ( fabs(columnMeanmedTable2_5_2[3] ) - ( 13.0 / 2.0 ) ) / fabs ( columnMeanmedTable2_5_2[3] ) < 3e-16 ); assert( ( fabs(columnMeanmedTable2_5_2[4] ) - ( 15.0 / 2.0 ) ) / 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 drowmeanaTest(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 table2[10] = {1.0, 2.0, 3.0, 4.0 , 5.0, 6.0, 7.0, 8.0, 9.0, 10.0}; 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 ] [ 4 5 6 ] => [ 12 15 18 ] [ 7 8 9 ] */ drowmeana(table1, 3, 3,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] ) - ( 12.0 / 3.0 ) ) / fabs ( rowMeanmedTable1_3_3[0] ) < 3e-16 ); assert( ( fabs(rowMeanmedTable1_3_3[1] ) - ( 15.0 / 3.0 ) ) / fabs ( rowMeanmedTable1_3_3[1] ) < 3e-16 ); assert( ( fabs(rowMeanmedTable1_3_3[2] ) - ( 18.0 / 3.0 ) ) / 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 ] */ drowmeana(table1, 1, 9,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 ] => [ 45 ] */ drowmeana(table1, 9, 1,rowMeanmedTable1_9_1); assert( ( fabs(rowMeanmedTable1_9_1[0] ) - ( 45.0 / 9.0 ) ) / fabs ( rowMeanmedTable1_9_1[0] ) < 3e-16 ); /* [ 1 3 5 7 9 ] [ 2 4 6 8 10 ] => [ 3 7 11 15 19 ] */ drowmeana(table2, 2, 5,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] ) - ( 3.0 / 2.0 ) ) / fabs ( rowMeanmedTable2_2_5[0] ) < 3e-16 ); assert( ( fabs(rowMeanmedTable2_2_5[1] ) - ( 7.0 / 2.0 ) ) / fabs ( rowMeanmedTable2_2_5[1] ) < 3e-16 ); assert( ( fabs(rowMeanmedTable2_2_5[2] ) - ( 11.0 / 2.0 ) ) / fabs ( rowMeanmedTable2_2_5[2] ) < 3e-16 ); assert( ( fabs(rowMeanmedTable2_2_5[3] ) - ( 15.0 / 2.0 ) ) / fabs ( rowMeanmedTable2_2_5[3] ) < 3e-16 ); assert( ( fabs(rowMeanmedTable2_2_5[4] ) - ( 19.0 / 2.0 ) ) / fabs ( rowMeanmedTable2_2_5[4] ) < 3e-16 ); /* [ 1 6 ] [ 2 7 ] => [ 15 40 ] [ 3 8 ] [ 4 9 ] [ 5 10 ] */ drowmeana(table2, 5, 2,rowMeanmedTable2_5_2); assert( ( fabs(rowMeanmedTable2_5_2[0] ) - ( 15.0 / 5.0 ) ) / fabs ( rowMeanmedTable2_5_2[0] ) < 3e-16 ); assert( ( fabs(rowMeanmedTable2_5_2[1] ) - ( 40.0 / 5.0 ) ) / fabs ( rowMeanmedTable2_5_2[1] ) < 3e-16 ); for ( i = 0 ; i < 2 ; ++i) { printf("rowMeanmedTable2_5_2[%d] = %e\n", i, rowMeanmedTable2_5_2[i]); } return 0; } static int zmeansTest(void) { doubleComplex value1 = DoubleComplex(3.0, 3.0); doubleComplex value2 = DoubleComplex(1.123456789, 1.123456789); printf("\n>>>> Mean Double Complex Scalar Test\n"); assert( ( fabs(zreals(zmeans(value1)) ) - ( 3.0 ) ) / fabs ( zreals(zmeans(value1)) ) < 3e-16 ); assert( ( fabs(zimags(zmeans(value1)) ) - ( 3.0 ) ) / fabs ( zimags(zmeans(value1)) ) < 3e-16 ); assert( ( fabs(zreals(zmeans(value2)) ) - ( 1.123456789 ) ) / fabs ( zreals(zmeans(value2)) ) < 3e-16 ); assert( ( fabs(zimags(zmeans(value2)) ) - ( 1.123456789 ) ) / fabs ( zimags(zmeans(value2)) ) < 3e-16 ); return 0; } static int zmeanaTest(void) { doubleComplex value1 = DoubleComplex(3.0, 3.0); doubleComplex table1[3]; doubleComplex value2 = DoubleComplex(9.186784563,9.186784563); doubleComplex table2[5]; printf("\n>>>> Mean Double Complex Array Test\n"); table1[0] = value1; table1[1] = value1; table1[2] = value1; table2[0] = value2; table2[1] = value2; table2[2] = value2; table2[3] = value2; table2[4] = value2; #ifdef LOCAL_DEBUG printf("--------\n"); printf("%e\n", zimags(zmeana(table1, 3))); printf("%e\n", zreals(zmeana(table2, 5))); printf("%e\n", zimags(zmeana(table2, 5))); printf("%e\n", zreals(zmeana(table2, 5))); printf("%e\n", zimags(zmeana(table2, 5))); printf("--------\n"); #endif assert( ( fabs(zreals(zmeana(table1, 3)) ) - ( 9.0 / 3.0 ) ) / fabs ( zreals(zmeana(table1, 3)) ) < 3e-16 ); assert( ( fabs(zimags(zmeana(table1, 3)) ) - ( 9.0 / 3.0 ) ) / fabs ( zimags(zmeana(table1, 3)) ) < 3e-16 ); assert( ( fabs(zreals(zmeana(table2, 5)) ) - ( (9.186784563 + 9.186784563 + 9.186784563 + 9.186784563 + 9.186784563) / 5.0 ) ) / fabs ( zreals(zmeana(table2, 5)) ) < 3e-16 ); assert( ( fabs(zimags(zmeana(table2, 5)) ) - ( (9.186784563 + 9.186784563 + 9.186784563 + 9.186784563 + 9.186784563) / 5.0 ) ) / fabs ( zimags(zmeana(table2, 5)) ) < 3e-16 ); return 0; } static int zrowmeanaTest(void) { int i = 0; doubleComplex in[12]; doubleComplex rowMeanmedIn_4_3[3]; doubleComplex rowMeanmedIn_3_4[4]; doubleComplex rowMeanmedIn_6_2[2]; doubleComplex rowMeanmedIn_2_6[6]; doubleComplex rowMeanmedIn_1_12[12]; doubleComplex rowMeanmedIn_12_1[1]; printf("\n>>>> Row Mean Double Complex Array Test\n"); /* Init input var */ for (i = 0 ; i < 12 ; ++i) { in[i] = DoubleComplex((double) i / 10.0, (11.0 - (double) i) / 10.0); } /* [ 1.1i 0.4+0.7i 0.8+0.3i ] [ 0.1+i 0.5+0.6i 0.9+0.2i ] => [ 0.6+3.8i 2.2+2.2i 3.8+0.6i ] [ 0.2+0.9i 0.6+0.5i 1+0.1i ] [ 0.3+0.8i 0.7+0.4i 1.1 ] */ zrowmeana(in, 4, 3, rowMeanmedIn_4_3); for (i = 0 ; i < 3 ; ++i) { printf("rowMeanmedIn_4_3[%d] = %e + %ei\n", i, zreals(rowMeanmedIn_4_3[i]), zimags(rowMeanmedIn_4_3[i])); } assert(fabs(zreals(rowMeanmedIn_4_3[0]) - 0.6 / 4.0) < 1e-16); assert( ( fabs(zimags(rowMeanmedIn_4_3[0]) ) - ( 3.8 / 4.0 ) ) / fabs ( zimags(rowMeanmedIn_4_3[0]) ) < 3e-16 ); assert( ( fabs(zreals(rowMeanmedIn_4_3[1]) ) - ( 2.2 / 4.0 ) ) / fabs ( zreals(rowMeanmedIn_4_3[1]) ) < 3e-16 ); assert(fabs(zimags(rowMeanmedIn_4_3[1]) - 2.2 / 4.0) < 3e-16); assert(fabs(zreals(rowMeanmedIn_4_3[2]) - 3.8 / 4.0) < 3e-16); assert( ( fabs(zimags(rowMeanmedIn_4_3[2]) ) - ( 0.6 / 4.0 ) ) / fabs ( zimags(rowMeanmedIn_4_3[2]) ) < 3e-16 ); /* [ 1.1i 0.3+0.8i 0.6+0.5i 0.9+0.2i ] [ 0.1+i 0.4+0.7i 0.7+0.4i 1+0.1i ] => [ 0.3+3.i 1.2+2.1i 2.1+1.2i 3.+0.3i] [ 0.2+0.9i 0.5+0.6i 0.8+0.3i 1.1 ] */ zrowmeana(in, 3, 4, rowMeanmedIn_3_4); for (i = 0 ; i < 4 ; ++i) { printf("rowMeanmedIn_3_4[%d] = %e + %ei\n", i, zreals(rowMeanmedIn_3_4[i]), zimags(rowMeanmedIn_3_4[i])); } assert(fabs(zreals(rowMeanmedIn_3_4[0]) - 0.3 / 3.0) < 1e-16); assert( ( fabs(zimags(rowMeanmedIn_3_4[0]) ) - ( 3.0 / 3.0 ) ) / fabs ( zimags(rowMeanmedIn_3_4[0]) ) < 3e-16 ); assert(zreals(rowMeanmedIn_3_4[1]) == 1.2 / 3.0 && zimags(rowMeanmedIn_3_4[1]) == 2.1 / 3.0); assert(fabs(zreals(rowMeanmedIn_3_4[2]) - 2.1 / 3.0) < 3e-16); assert( ( fabs(zimags(rowMeanmedIn_3_4[2]) ) - ( 1.2 / 3.0 ) ) / fabs ( zimags(rowMeanmedIn_3_4[2]) ) < 3e-16 ); assert( ( fabs(zreals(rowMeanmedIn_3_4[3]) ) - ( 3.0 / 3.0 ) ) / fabs ( zreals(rowMeanmedIn_3_4[3]) ) < 3e-16 ); assert(fabs(zimags(rowMeanmedIn_3_4[3]) - 0.3 / 3.0) < 1e-16); /* [ 1.1i 0.6+0.5i ] [ 0.1+i 0.7+0.4i ] [ 0.2+0.9i 0.8+0.3i ] => [ 1.5+5.1i 5.1+1.5i ] [ 0.3+0.8i 0.9+0.2i ] [ 0.4+0.7i 1+0.1i ] [ 0.5+0.6i 1.1 ] */ zrowmeana(in, 6, 2, rowMeanmedIn_6_2); for (i = 0 ; i < 2 ; ++i) { printf("rowMeanmedIn_6_2[%d] = %e + %ei\n", i, zreals(rowMeanmedIn_6_2[i]), zimags(rowMeanmedIn_6_2[i])); } assert(zreals(rowMeanmedIn_6_2[0]) == 1.5 / 6.0 && zimags(rowMeanmedIn_6_2[0]) == 5.1 / 6.0); assert(zreals(rowMeanmedIn_6_2[1]) == 5.1 / 6.0 && zimags(rowMeanmedIn_6_2[1]) == 1.5 / 6.0); /* [ 1.1i 0.2+0.9i 0.4+0.7i 0.6+0.5i 0.8+0.3i 1+0.1i ] [ 0.1+i 0.3+0.8i 0.5+0.6i 0.7+0.4i 0.9+0.2i 1.1 ] => [ 0.1+2.1i 0.5+1.7i 0.9+1.3i 1.3+0.9i 1.7+0.5i 2.1+0.1i ] */ zrowmeana(in, 2, 6, rowMeanmedIn_2_6); for (i = 0 ; i < 6 ; ++i) { printf("rowMeanmedIn_2_6[%d] = %e + %ei\n", i, zreals(rowMeanmedIn_2_6[i]), zimags(rowMeanmedIn_2_6[i])); } assert(zreals(rowMeanmedIn_2_6[0]) == 0.1 / 2.0 && zimags(rowMeanmedIn_2_6[0]) == 2.1 / 2.0); assert( ( fabs(zreals(rowMeanmedIn_2_6[1]) ) - ( 0.5 / 2.0 ) ) / fabs(zreals(rowMeanmedIn_2_6[1])) < 3e-16); assert( ( fabs(zimags(rowMeanmedIn_2_6[1]) ) - ( 1.7 / 2.0 ) ) / fabs(zimags(rowMeanmedIn_2_6[1])) < 3e-16); assert( ( fabs(zreals(rowMeanmedIn_2_6[2]) ) - ( 0.9 / 2.0 ) ) / fabs(zreals(rowMeanmedIn_2_6[2])) < 3e-16); assert( ( fabs(zimags(rowMeanmedIn_2_6[2]) ) - ( 1.3 / 2.0 ) ) / fabs(zimags(rowMeanmedIn_2_6[2])) < 3e-16); assert( ( fabs(zreals(rowMeanmedIn_2_6[3]) ) - ( 1.3 / 2.0 ) ) / fabs(zreals(rowMeanmedIn_2_6[3])) < 3e-16); assert( ( fabs(zimags(rowMeanmedIn_2_6[3]) ) - ( 0.9 / 2.0 ) ) / fabs(zimags(rowMeanmedIn_2_6[3])) < 3e-16); assert( ( fabs(zreals(rowMeanmedIn_2_6[4]) ) - ( 1.7 / 2.0 ) ) / fabs(zreals(rowMeanmedIn_2_6[4])) < 3e-16); assert( ( fabs(zimags(rowMeanmedIn_2_6[4]) ) - ( 0.5 / 2.0 ) ) / fabs(zimags(rowMeanmedIn_2_6[4])) < 3e-16); assert( ( fabs(zreals(rowMeanmedIn_2_6[5]) ) - ( 2.1 / 2.0 ) ) / fabs(zreals(rowMeanmedIn_2_6[5])) < 3e-16); assert( ( fabs(zimags(rowMeanmedIn_2_6[5]) ) - ( 0.1 / 2.0 ) ) / fabs(zimags(rowMeanmedIn_2_6[5])) < 3e-16); /* [ 1.1i 0.1+i 0.2+0.9i 0.3+0.8i 0.4+0.7i 0.5+0.6i 0.6+0.5i 0.7+0.4i 0.8+0.3i 0.9+0.2i 1+0.1i 1.1 ] => [ 1.1i 0.1+i 0.2+0.9i 0.3+0.8i 0.4+0.7i 0.5+0.6i 0.6+0.5i 0.7+0.4i 0.8+0.3i 0.9+0.2i 1+0.1i 1.1 ] */ zrowmeana(in, 1, 12, rowMeanmedIn_1_12); for (i = 0 ; i < 12 ; ++i) { printf("rowMeanmedIn_1_12[%d] = %e + %ei\n", i, zreals(rowMeanmedIn_1_12[i]), zimags(rowMeanmedIn_1_12[i])); assert(zreals(rowMeanmedIn_1_12[i]) == zreals(in[i]) && zimags(rowMeanmedIn_1_12[i]) == zimags(in[i])); } /* [ 1.1i ] [ 0.1+i ] [ 0.2+0.9i ] [ 0.3+0.8i ] [ 0.4+0.7i ] [ 0.5+0.6i ] [ 0.6+0.5i ] => [ 6.6+6.6i ] [ 0.7+0.4i ] [ 0.8+0.3i ] [ 0.9+0.2i ] [ 1+0.1i ] [ 1.1 ] */ zrowmeana(in, 12, 1, rowMeanmedIn_12_1); printf("rowMeanmedIn_12_1[%d] = %e + %ei\n", 0, zreals(rowMeanmedIn_12_1[0]), zimags(rowMeanmedIn_12_1[0])); assert(zreals(rowMeanmedIn_12_1[0]) == 6.6 / 12.0 && zimags(rowMeanmedIn_12_1[0]) == 6.6 / 12.0); return 0; } static int zcolumnmeanaTest(void) { int i = 0; doubleComplex in[12]; doubleComplex columnMeanmedIn_4_3[4]; doubleComplex columnMeanmedIn_3_4[3]; doubleComplex columnMeanmedIn_6_2[6]; doubleComplex columnMeanmedIn_2_6[2]; doubleComplex columnMeanmedIn_1_12[1]; doubleComplex columnMeanmedIn_12_1[12]; printf("\n>>>> ColumnMean Double Complex Array Test\n"); /* Init input var */ for (i = 0 ; i < 12 ; ++i) { in[i] = DoubleComplex((double) i / 10.0, (11.0 - (double) i) / 10.0); } /* [ 1.1i 0.4+0.7i 0.8+0.3i ] [ 0.1+i 0.5+0.6i 0.9+0.2i ] => [ 1.2+2.1i 1.5+1.8i 1.8+1.5i 2.1+1.2i ] [ 0.2+0.9i 0.6+0.5i 1+0.1i ] [ 0.3+0.8i 0.7+0.4i 1.1 ] */ zcolumnmeana(in, 4, 3, columnMeanmedIn_4_3); for (i = 0 ; i < 4 ; ++i) { printf("columnMeanmedIn_4_3[%d] = %e + %ei\n", i, zreals(columnMeanmedIn_4_3[i]), zimags(columnMeanmedIn_4_3[i])); } assert(fabs(zreals(columnMeanmedIn_4_3[0]) - 1.2 / 3.0) < 3e-16); assert(fabs(zimags(columnMeanmedIn_4_3[0]) - 2.1 / 3.0) < 3e-16); assert(fabs(zreals(columnMeanmedIn_4_3[1]) - 1.5 / 3.0) < 3e-16); assert(fabs(zimags(columnMeanmedIn_4_3[1]) - 1.8 / 3.0) < 3e-16); assert(fabs(zreals(columnMeanmedIn_4_3[2]) - 1.8 / 3.0) < 3e-16); assert(fabs(zimags(columnMeanmedIn_4_3[2]) - 1.5 / 3.0) < 3e-16); assert(fabs(zreals(columnMeanmedIn_4_3[3]) - 2.1 / 3.0) < 3e-16); assert(fabs(zimags(columnMeanmedIn_4_3[3]) - 1.2 / 3.0) < 3e-16); /* [ 1.1i 0.3+0.8i 0.6+0.5i 0.9+0.2i ] [ 0.1+i 0.4+0.7i 0.7+0.4i 1+0.1i ] => [ 1.8+2.6i 2.2+2.2i 2.6+1.8i ] [ 0.2+0.9i 0.5+0.6i 0.8+0.3i 1.1 ] */ zcolumnmeana(in, 3, 4, columnMeanmedIn_3_4); for (i = 0 ; i < 3 ; ++i) { printf("columnMeanmedIn_3_4[%d] = %e + %ei\n", i, zreals(columnMeanmedIn_3_4[i]), zimags(columnMeanmedIn_3_4[i])); } assert(fabs(zreals(columnMeanmedIn_3_4[0]) - 1.8 / 4.0) < 3e-16); assert(fabs(zimags(columnMeanmedIn_3_4[0]) - 2.6 / 4.0) < 3e-16); assert(zreals(columnMeanmedIn_3_4[1]) == 2.2 / 4.0 && zimags(columnMeanmedIn_3_4[1]) == 2.2 / 4.0); assert(zreals(columnMeanmedIn_3_4[2]) == 2.6 / 4.0 && zimags(columnMeanmedIn_3_4[2]) == 1.8 / 4.0); /* [ 1.1i 0.6+0.5i ] [ 0.1+i 0.7+0.4i ] [ 0.2+0.9i 0.8+0.3i ] => [ 0.6+1.6i 0.8+1.4i 1+1.2i 1.2+i 1.4+0.8i 1.6+0.6i ] [ 0.3+0.8i 0.9+0.2i ] [ 0.4+0.7i 1+0.1i ] [ 0.5+0.6i 1.1 ] */ zcolumnmeana(in, 6, 2, columnMeanmedIn_6_2); for (i = 0 ; i < 6 ; ++i) { printf("columnMeanmedIn_6_2[%d] = %e + %ei\n", i, zreals(columnMeanmedIn_6_2[i]), zimags(columnMeanmedIn_6_2[i])); } assert(zreals(columnMeanmedIn_6_2[0]) == 0.6 / 2.0 && zimags(columnMeanmedIn_6_2[0]) == 1.6 / 2.0); assert(fabs(zreals(columnMeanmedIn_6_2[1]) - 0.8 / 2.0) < 3e-16); assert(zimags(columnMeanmedIn_6_2[1]) == 1.4 / 2.0); assert(zreals(columnMeanmedIn_6_2[2]) == 1.0 / 2.0 && zimags(columnMeanmedIn_6_2[2]) == 1.2 / 2.0); assert(zreals(columnMeanmedIn_6_2[3]) == 1.2 / 2.0 && zimags(columnMeanmedIn_6_2[3]) == 1.0 / 2.0); assert(zreals(columnMeanmedIn_6_2[4]) == 1.4 / 2.0); assert(fabs(zimags(columnMeanmedIn_6_2[4]) - 0.8 / 2.0) < 3e-16); assert(zreals(columnMeanmedIn_6_2[5]) == 1.6 / 2.0 && zimags(columnMeanmedIn_6_2[5]) == 0.6 / 2.0); /* [ 1.1i 0.2+0.9i 0.4+0.7i 0.6+0.5i 0.8+0.3i 1+0.1i ] [ 0.1+i 0.3+0.8i 0.5+0.6i 0.7+0.4i 0.9+0.2i 1.1 ] => [ 3+3.6i 3.6+3i ] */ zcolumnmeana(in, 2, 6, columnMeanmedIn_2_6); for (i = 0 ; i < 2 ; ++i) { printf("columnMeanmedIn_2_6[%d] = %e + %ei\n", i, zreals(columnMeanmedIn_2_6[i]), zimags(columnMeanmedIn_2_6[i])); } assert(fabs(zreals(columnMeanmedIn_2_6[0]) - 3.0 / 6.0) < 3e-16); assert(fabs(zimags(columnMeanmedIn_2_6[0]) - 3.6 / 6.0) < 3e-16); assert(fabs(zreals(columnMeanmedIn_2_6[1]) - 3.6 / 6.0) < 3e-16); assert(fabs(zimags(columnMeanmedIn_2_6[1]) - 3.0 / 6.0) < 3e-16); /* [ 1.1i 0.1+i 0.2+0.9i 0.3+0.8i 0.4+0.7i 0.5+0.6i 0.6+0.5i 0.7+0.4i 0.8+0.3i 0.9+0.2i 1+0.1i 1.1 ] => [ 6.6+6.6i ] */ zcolumnmeana(in, 1, 12, columnMeanmedIn_1_12); printf("columnMeanmedIn_1_12[%d] = %e + %ei\n", 0, zreals(columnMeanmedIn_1_12[0]), zimags(columnMeanmedIn_1_12[0])); assert(zreals(columnMeanmedIn_1_12[0]) == 6.6 / 12.0 && zimags(columnMeanmedIn_1_12[0]) == 6.6 / 12.0); /* [ 1.1i ] [ 0.1+i ] [ 0.2+0.9i ] [ 0.3+0.8i ] [ 0.4+0.7i ] [ 0.5+0.6i ] [ 0.6+0.5i ] => [ 1.1i 0.1+i 0.2+0.9i 0.3+0.8i 0.4+0.7i 0.5+0.6i 0.6+0.5i 0.7+0.4i 0.8+0.3i 0.9+0.2i 1+0.1i 1.1 ] [ 0.7+0.4i ] [ 0.8+0.3i ] [ 0.9+0.2i ] [ 1+0.1i ] [ 1.1 ] */ zcolumnmeana(in, 12, 1, columnMeanmedIn_12_1); for (i = 0 ; i < 12 ; ++i) { printf("columnMeanmedIn_12_1[%d] = %e + %ei\n", i, zreals(columnMeanmedIn_12_1[i]), zimags(columnMeanmedIn_12_1[i])); assert(zreals(columnMeanmedIn_12_1[i]) == zreals(in[i]) && zimags(columnMeanmedIn_12_1[i]) == zimags(in[i])); } return 0; } static int testMean(void) { dmeansTest(); dmeanaTest(); drowmeanaTest(); dcolumnmeanaTest(); zmeansTest(); zmeanaTest(); zrowmeanaTest(); zcolumnmeanaTest(); return 0; } int main(void) { assert(testMean() == 0); return 0; }