/* matrix/test_complex_source.c * * Copyright (C) 1996, 1997, 1998, 1999, 2000, 2007 Gerard Jungman, Brian Gough * * This program is free software; you can redistribute it and/or modify * it under the terms of the GNU General Public License as published by * the Free Software Foundation; either version 3 of the License, or (at * your option) any later version. * * This program is distributed in the hope that it will be useful, but * WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU * General Public License for more details. * * You should have received a copy of the GNU General Public License * along with this program; if not, write to the Free Software * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. */ void FUNCTION (test, func) (const size_t M, const size_t N); void FUNCTION (test, ops) (const size_t P, const size_t Q); void FUNCTION (test, trap) (const size_t M, const size_t N); void FUNCTION (test, text) (const size_t M, const size_t N); void FUNCTION (test, binary) (const size_t M, const size_t N); void FUNCTION (test, binary_noncontiguous) (const size_t M, const size_t N); #define TEST(expr,desc) gsl_test((expr), NAME(gsl_matrix) desc " M=%d, N=%d", M, N) void FUNCTION (test, func) (const size_t M, const size_t N) { size_t i, j; int k = 0; TYPE (gsl_matrix) * m = FUNCTION (gsl_matrix, alloc) (M, N); gsl_test (m->data == 0, NAME (gsl_matrix) "_alloc returns valid pointer"); gsl_test (m->size1 != M, NAME (gsl_matrix) "_alloc returns valid size1"); gsl_test (m->size2 != N, NAME (gsl_matrix) "_alloc returns valid size2"); gsl_test (m->tda != N, NAME (gsl_matrix) "_alloc returns valid tda"); for (i = 0; i < M; i++) { for (j = 0; j < N; j++) { BASE z = ZERO; k++; GSL_REAL (z) = (ATOMIC) k; GSL_IMAG (z) = (ATOMIC) (k + 1000); FUNCTION (gsl_matrix, set) (m, i, j, z); } } status = 0; k = 0; for (i = 0; i < M; i++) { for (j = 0; j < N; j++) { k++; if (m->data[2 * (i * N + j)] != k || m->data[2 * (i * N + j) + 1] != k + 1000) status = 1; } } gsl_test (status, NAME (gsl_matrix) "_set writes into array"); status = 0; k = 0; for (i = 0; i < M; i++) { for (j = 0; j < N; j++) { BASE z = FUNCTION (gsl_matrix, get) (m, i, j); k++; if (GSL_REAL (z) != k || GSL_IMAG (z) != k + 1000) status = 1; } } gsl_test (status, NAME (gsl_matrix) "_get reads from array"); FUNCTION (gsl_matrix, free) (m); /* free whatever is in m */ m = FUNCTION (gsl_matrix, calloc) (M, N); { int status = (FUNCTION(gsl_matrix,isnull)(m) != 1); TEST (status, "_isnull" DESC " on calloc matrix"); status = (FUNCTION(gsl_matrix,ispos)(m) != 0); TEST (status, "_ispos" DESC " on calloc matrix"); status = (FUNCTION(gsl_matrix,isneg)(m) != 0); TEST (status, "_isneg" DESC " on calloc matrix"); } for (i = 0; i < M; i++) { for (j = 0; j < N; j++) { BASE z = ZERO; FUNCTION (gsl_matrix, set) (m, i, j, z); } } { status = (FUNCTION(gsl_matrix,isnull)(m) != 1); TEST (status, "_isnull" DESC " on null matrix") ; status = (FUNCTION(gsl_matrix,ispos)(m) != 0); TEST (status, "_ispos" DESC " on null matrix") ; status = (FUNCTION(gsl_matrix,isneg)(m) != 0); TEST (status, "_isneg" DESC " on null matrix") ; } k = 0; for (i = 0; i < M; i++) { for (j = 0; j < N; j++) { BASE z = ZERO; k++; GSL_REAL (z) = (ATOMIC) (k % 10); GSL_IMAG (z) = (ATOMIC) ((k + 5) % 10); FUNCTION (gsl_matrix, set) (m, i, j, z); } } { status = (FUNCTION(gsl_matrix,isnull)(m) != 0); TEST (status, "_isnull" DESC " on non-negative matrix") ; status = (FUNCTION(gsl_matrix,ispos)(m) != 0); TEST (status, "_ispos" DESC " on non-negative matrix") ; status = (FUNCTION(gsl_matrix,isneg)(m) != 0); TEST (status, "_isneg" DESC " on non-negative matrix") ; } k = 0; for (i = 0; i < M; i++) { for (j = 0; j < N; j++) { BASE z = ZERO; k++; GSL_REAL (z) = (ATOMIC) ((k % 10) - 5); GSL_IMAG (z) = (ATOMIC) (((k + 5) % 10) - 5); FUNCTION (gsl_matrix, set) (m, i, j, z); } } { status = (FUNCTION(gsl_matrix,isnull)(m) != 0); TEST (status, "_isnull" DESC " on mixed matrix") ; status = (FUNCTION(gsl_matrix,ispos)(m) != 0); TEST (status, "_ispos" DESC " on mixed matrix") ; status = (FUNCTION(gsl_matrix,isneg)(m) != 0); TEST (status, "_isneg" DESC " on mixed matrix") ; } k = 0; for (i = 0; i < M; i++) { for (j = 0; j < N; j++) { BASE z = ZERO; k++; GSL_REAL (z) = -(ATOMIC) (k % 10); GSL_IMAG (z) = -(ATOMIC) ((k + 5) % 10); FUNCTION (gsl_matrix, set) (m, i, j, z); } } { status = (FUNCTION(gsl_matrix,isnull)(m) != 0); TEST (status, "_isnull" DESC " on non-positive matrix") ; status = (FUNCTION(gsl_matrix,ispos)(m) != 0); TEST (status, "_ispos" DESC " on non-positive matrix") ; status = (FUNCTION(gsl_matrix,isneg)(m) != 0); TEST (status, "_isneg" DESC " on non-positive matrix") ; } k = 0; for (i = 0; i < M; i++) { for (j = 0; j < N; j++) { BASE z = ZERO; k++; GSL_REAL (z) = (ATOMIC) (k % 10 + 1); GSL_IMAG (z) = (ATOMIC) ((k + 5) % 10 + 1); FUNCTION (gsl_matrix, set) (m, i, j, z); } } { status = (FUNCTION(gsl_matrix,isnull)(m) != 0); TEST (status, "_isnull" DESC " on positive matrix") ; status = (FUNCTION(gsl_matrix,ispos)(m) != 1); TEST (status, "_ispos" DESC " on positive matrix") ; status = (FUNCTION(gsl_matrix,isneg)(m) != 0); TEST (status, "_isneg" DESC " on positive matrix") ; } k = 0; for (i = 0; i < M; i++) { for (j = 0; j < N; j++) { BASE z = ZERO; k++; GSL_REAL (z) = -(ATOMIC) (k % 10 + 1); GSL_IMAG (z) = -(ATOMIC) ((k + 5) % 10 + 1); FUNCTION (gsl_matrix, set) (m, i, j, z); } } { status = (FUNCTION(gsl_matrix,isnull)(m) != 0); TEST (status, "_isnull" DESC " on negative matrix") ; status = (FUNCTION(gsl_matrix,ispos)(m) != 0); TEST (status, "_ispos" DESC " on negative matrix") ; status = (FUNCTION(gsl_matrix,isneg)(m) != 1); TEST (status, "_isneg" DESC " on negative matrix") ; } FUNCTION (gsl_matrix, free) (m); /* free whatever is in m */ } #if !(USES_LONGDOUBLE && !HAVE_PRINTF_LONGDOUBLE) void FUNCTION (test, text) (const size_t M, const size_t N) { TYPE (gsl_matrix) * m = FUNCTION (gsl_matrix, alloc) (M, N); size_t i, j, k; #ifdef NO_INLINE char filename[] = "test_static.dat"; #else char filename[] = "test.dat"; #endif /* write file */ { FILE *f = fopen(filename, "w"); k = 0; for (i = 0; i < M; i++) { for (j = 0; j < N; j++) { BASE z; k++; GSL_REAL (z) = (ATOMIC) k; GSL_IMAG (z) = (ATOMIC) (k + 1000); FUNCTION (gsl_matrix, set) (m, i, j, z); } } FUNCTION (gsl_matrix, fprintf) (f, m, OUT_FORMAT); fclose(f); } /* read file */ { FILE *f = fopen(filename, "r"); TYPE (gsl_matrix) * mm = FUNCTION (gsl_matrix, alloc) (M, N); status = 0; FUNCTION (gsl_matrix, fscanf) (f, mm); k = 0; for (i = 0; i < M; i++) { for (j = 0; j < N; j++) { k++; if (mm->data[2 * (i * N + j)] != k || mm->data[2 * (i * N + j) + 1] != k + 1000) status = 1; } } gsl_test (status, NAME (gsl_matrix) "_fprintf and fscanf"); FUNCTION (gsl_matrix, free) (mm); fclose (f); } FUNCTION (gsl_matrix, free) (m); } #endif void FUNCTION (test, binary) (const size_t M, const size_t N) { TYPE (gsl_matrix) * m = FUNCTION (gsl_matrix, alloc) (M, N); size_t i, j, k; #ifdef NO_INLINE char filename[] = "test_static.dat"; #else char filename[] = "test.dat"; #endif /* write file */ { FILE *f = fopen(filename, "wb"); k = 0; for (i = 0; i < M; i++) { for (j = 0; j < N; j++) { BASE z = ZERO; k++; GSL_REAL (z) = (ATOMIC) k; GSL_IMAG (z) = (ATOMIC) (k + 1000); FUNCTION (gsl_matrix, set) (m, i, j, z); } } FUNCTION (gsl_matrix, fwrite) (f, m); fclose(f); } /* read file */ { FILE *f = fopen(filename, "rb"); TYPE (gsl_matrix) * mm = FUNCTION (gsl_matrix, alloc) (M, N); status = 0; FUNCTION (gsl_matrix, fread) (f, mm); k = 0; for (i = 0; i < M; i++) { for (j = 0; j < N; j++) { k++; if (mm->data[2 * (i * N + j)] != k || mm->data[2 * (i * N + j) + 1] != k + 1000) status = 1; } } gsl_test (status, NAME (gsl_matrix) "_write and read"); FUNCTION (gsl_matrix, free) (mm); fclose (f); } FUNCTION (gsl_matrix, free) (m); } void FUNCTION (test, binary_noncontiguous) (const size_t M, const size_t N) { TYPE (gsl_matrix) * l = FUNCTION (gsl_matrix, calloc) (M+1, N+1); VIEW (gsl_matrix, view) m = FUNCTION (gsl_matrix, submatrix) (l, 0, 0, M, N); size_t i, j, k; #ifdef NO_INLINE char filename[] = "test_static.dat"; #else char filename[] = "test.dat"; #endif /* write file */ { FILE *f = fopen(filename, "wb"); k = 0; for (i = 0; i < M; i++) { for (j = 0; j < N; j++) { BASE z = ZERO; k++; GSL_REAL (z) = (ATOMIC) k; GSL_IMAG (z) = (ATOMIC) (k + 1000); FUNCTION (gsl_matrix, set) (&m.matrix, i, j, z); } } FUNCTION (gsl_matrix, fwrite) (f, &m.matrix); fclose(f); } /* read file */ { FILE *f = fopen(filename, "rb"); TYPE (gsl_matrix) * ll = FUNCTION (gsl_matrix, alloc) (M+1, N+1); VIEW (gsl_matrix, view) mm = FUNCTION (gsl_matrix, submatrix) (ll, 0, 0, M, N); status = 0; FUNCTION (gsl_matrix, fread) (f, &mm.matrix); k = 0; for (i = 0; i < M; i++) { for (j = 0; j < N; j++) { BASE z = FUNCTION (gsl_matrix, get) (&mm.matrix, i, j); k++; if (GSL_REAL (z) != k || GSL_IMAG (z) != k + 1000) status = 1; } } gsl_test (status, NAME (gsl_matrix) "_write and read (noncontiguous)"); FUNCTION (gsl_matrix, free) (ll); fclose (f); } FUNCTION (gsl_matrix, free) (l); } void FUNCTION (test, trap) (const size_t M, const size_t N) { TYPE (gsl_matrix) * mc = FUNCTION (gsl_matrix, alloc) (M, N); size_t i = 0, j = 0; BASE z = { {(ATOMIC) 1.2, (ATOMIC) 3.4} }; BASE z1; status = 0; FUNCTION (gsl_matrix, set) (mc, i - 1, j, z); gsl_test (!status, NAME (gsl_matrix) "_set traps 1st index below lower bound"); status = 0; FUNCTION (gsl_matrix, set) (mc, i, j - 1, z); gsl_test (!status, NAME (gsl_matrix) "_set traps 2nd index below lower bound"); status = 0; FUNCTION (gsl_matrix, set) (mc, M + 1, 0, z); gsl_test (!status, NAME (gsl_matrix) "_set traps 1st index above upper bound"); status = 0; FUNCTION (gsl_matrix, set) (mc, 0, N + 1, z); gsl_test (!status, NAME (gsl_matrix) "_set traps 2nd index above upper bound"); status = 0; FUNCTION (gsl_matrix, set) (mc, M, 0, z); gsl_test (!status, NAME (gsl_matrix) "_set traps 1st index at upper bound"); status = 0; FUNCTION (gsl_matrix, set) (mc, 0, N, z); gsl_test (!status, NAME (gsl_matrix) "_set traps 2nd index at upper bound"); status = 0; z1 = FUNCTION (gsl_matrix, get) (mc, i - 1, 0); gsl_test (!status, NAME (gsl_matrix) "_get traps 1st index below lower bound"); gsl_test (GSL_REAL (z1) != 0, NAME (gsl_matrix) "_get, zero real for 1st index below l.b."); gsl_test (GSL_IMAG (z1) != 0, NAME (gsl_matrix) "_get, zero imag for 1st index below l.b."); status = 0; z1 = FUNCTION (gsl_matrix, get) (mc, 0, j - 1); gsl_test (!status, NAME (gsl_matrix) "_get traps 2nd index below lower bound"); gsl_test (GSL_REAL (z1) != 0, NAME (gsl_matrix) "_get, zero real for 2nd index below l.b."); gsl_test (GSL_IMAG (z1) != 0, NAME (gsl_matrix) "_get, zero imag for 2nd index below l.b."); status = 0; z1 = FUNCTION (gsl_matrix, get) (mc, M + 1, 0); gsl_test (!status, NAME (gsl_matrix) "_get traps 1st index above upper bound"); gsl_test (GSL_REAL (z1) != 0, NAME (gsl_matrix) "_get, zero real for 1st index above u.b."); gsl_test (GSL_IMAG (z1) != 0, NAME (gsl_matrix) "_get, zero imag for 1st index above u.b."); status = 0; z1 = FUNCTION (gsl_matrix, get) (mc, 0, N + 1); gsl_test (!status, NAME (gsl_matrix) "_get traps 2nd index above upper bound"); gsl_test (GSL_REAL (z1) != 0, NAME (gsl_matrix) "_get, zero real for 2nd index above u.b."); gsl_test (GSL_IMAG (z1) != 0, NAME (gsl_matrix) "_get, zero imag for 2nd index above u.b."); status = 0; z1 = FUNCTION (gsl_matrix, get) (mc, M, 0); gsl_test (!status, NAME (gsl_matrix) "_get traps 1st index at upper bound"); gsl_test (GSL_REAL (z1) != 0, NAME (gsl_matrix) "_get, zero real for 1st index at u.b."); gsl_test (GSL_IMAG (z1) != 0, NAME (gsl_matrix) "_get, zero imag for 1st index at u.b."); status = 0; z1 = FUNCTION (gsl_matrix, get) (mc, 0, N); gsl_test (!status, NAME (gsl_matrix) "_get traps 2nd index at upper bound"); gsl_test (GSL_REAL (z1) != 0, NAME (gsl_matrix) "_get, zero real for 2nd index at u.b."); gsl_test (GSL_IMAG (z1) != 0, NAME (gsl_matrix) "_get, zero imag for 2nd index at u.b."); FUNCTION (gsl_matrix, free) (mc); } void FUNCTION (test, ops) (const size_t P, const size_t Q) { TYPE (gsl_matrix) * a = FUNCTION (gsl_matrix, alloc) (P, Q); TYPE (gsl_matrix) * b = FUNCTION (gsl_matrix, alloc) (P, Q); TYPE (gsl_matrix) * m = FUNCTION (gsl_matrix, alloc) (P, Q); size_t i, j; size_t k = 0; size_t status = 0; for (i = 0; i < P; i++) { for (j = 0; j < Q; j++) { BASE z, z1; GSL_REAL (z) = (ATOMIC) k; GSL_IMAG (z) = (ATOMIC) (k + 10); GSL_REAL (z1) = (ATOMIC) (k + 5); GSL_IMAG (z1) = (ATOMIC) (k + 20); FUNCTION (gsl_matrix, set) (a, i, j, z); FUNCTION (gsl_matrix, set) (b, i, j, z1); k++; } } { { int status = (FUNCTION(gsl_matrix,equal) (a,b) != 0); gsl_test (status, NAME (gsl_matrix) "_equal matrix unequal"); } FUNCTION (gsl_matrix, memcpy) (m, a); { int status = (FUNCTION(gsl_matrix,equal) (a,m) != 1); gsl_test (status, NAME (gsl_matrix) "_equal matrix equal"); } FUNCTION (gsl_matrix, add) (m, b); k = 0; status = 0; for (i = 0; i < P; i++) { for (j = 0; j < Q; j++) { BASE z = FUNCTION (gsl_matrix, get) (m, i, j); if (GSL_REAL (z) != (ATOMIC) (2 * k + 5) || GSL_IMAG (z) != (ATOMIC) (2 * k + 30)) status = 1; k++; } } gsl_test (status, NAME (gsl_matrix) "_add matrix addition"); } { FUNCTION (gsl_matrix, memcpy) (m, a); FUNCTION (gsl_matrix, sub) (m, b); k = 0; status = 0; for (i = 0; i < P; i++) { for (j = 0; j < Q; j++) { BASE z = FUNCTION (gsl_matrix, get) (m, i, j); if (GSL_REAL (z) != (ATOMIC) (-5) || GSL_IMAG (z) != (ATOMIC) (-10)) status = 1; k++; } } gsl_test (status, NAME (gsl_matrix) "_sub matrix subtraction"); } { FUNCTION (gsl_matrix, memcpy) (m, a); FUNCTION (gsl_matrix, mul_elements) (m, b); k = 0; status = 0; for (i = 0; i < P; i++) { for (j = 0; j < Q; j++) { ATOMIC real = -(ATOMIC) (25 * k + 200); ATOMIC imag = (ATOMIC) (2 * k * k + 35 * k + 50); BASE z = FUNCTION (gsl_matrix, get) (m, i, j); if (fabs (GSL_REAL (z) - real) > 100 * BASE_EPSILON || fabs (GSL_IMAG (z) - imag) > 100 * BASE_EPSILON) { status = 1; #ifdef DEBUG printf ("%d\t%d\n", i, j); printf (OUT_FORMAT "\n", GSL_REAL (z) + (ATOMIC) (25 * (ATOMIC) k + 200)); printf (OUT_FORMAT "\n", GSL_IMAG (z) - (ATOMIC) (2 * k * k + 35 * k + 50)); printf ("\n"); #endif } k++; } } gsl_test (status, NAME (gsl_matrix) "_mul_elements multiplication"); } { FUNCTION (gsl_matrix, memcpy) (m, a); FUNCTION (gsl_matrix, div_elements) (m, b); k = 0; status = 0; for (i = 0; i < P; i++) { for (j = 0; j < Q; j++) { ATOMIC denom = (2 * k * k + 50 * k + 425); ATOMIC real = (ATOMIC) (2 * k * k + 35 * k + 200) / denom; ATOMIC imag = ((ATOMIC) (50) - (ATOMIC) (5 * k)) / denom; BASE z = FUNCTION (gsl_matrix, get) (m, i, j); if (fabs (GSL_REAL (z) - real) > 100 * BASE_EPSILON || fabs (GSL_IMAG (z) - imag) > 100 * BASE_EPSILON) { #ifdef DEBUG printf (OUT_FORMAT "\t", GSL_REAL (z) - (ATOMIC) (2 * k * k + 35 * k + 200) / denom); printf (OUT_FORMAT "\n", GSL_IMAG (z) - ((ATOMIC) (50) - (ATOMIC) (5 * k)) / denom); #endif status = 1; } k++; } } gsl_test (status, NAME (gsl_matrix) "_div_elements division"); } { BASE s; GSL_SET_COMPLEX(&s, 2.0, 3.0); FUNCTION (gsl_matrix, memcpy) (m, a); FUNCTION (gsl_matrix, scale) (m, s); k = 0; status = 0; for (i = 0; i < P; i++) { for (j = 0; j < Q; j++) { ATOMIC real = (ATOMIC) (-(ATOMIC)k - 30); ATOMIC imag = (ATOMIC) (5 * (ATOMIC)k + 20); BASE z = FUNCTION (gsl_matrix, get) (m, i, j); if (GSL_REAL (z) != real || GSL_IMAG (z) != imag) { status = 1; } k++; } } gsl_test (status, NAME (gsl_matrix) "_scale"); } { BASE s; GSL_SET_COMPLEX(&s, 2.0, 3.0); FUNCTION (gsl_matrix, memcpy) (m, a); FUNCTION (gsl_matrix, add_constant) (m, s); k = 0; status = 0; for (i = 0; i < P; i++) { for (j = 0; j < Q; j++) { ATOMIC real = (ATOMIC) ((ATOMIC)k + 2); ATOMIC imag = (ATOMIC) ((ATOMIC)k + 10 + 3); BASE z = FUNCTION (gsl_matrix, get) (m, i, j); if (GSL_REAL (z) != real || GSL_IMAG (z) != imag) { status = 1; } k++; } } gsl_test (status, NAME (gsl_matrix) "_add_constant"); } { BASE s; GSL_SET_COMPLEX(&s, 2.0, 3.0); FUNCTION (gsl_matrix, memcpy) (m, a); FUNCTION (gsl_matrix, add_diagonal) (m, s); k = 0; status = 0; for (i = 0; i < P; i++) { for (j = 0; j < Q; j++) { ATOMIC real = (ATOMIC) ((ATOMIC)k + ((i==j) ? 2 : 0)); ATOMIC imag = (ATOMIC) ((ATOMIC)k + 10 +((i==j) ? 3 : 0)); BASE z = FUNCTION (gsl_matrix, get) (m, i, j); if (GSL_REAL (z) != real || GSL_IMAG (z) != imag) { status = 1; } k++; } } gsl_test (status, NAME (gsl_matrix) "_add_diagonal"); } { FUNCTION (gsl_matrix, swap) (a, b); k = 0; status = 0; for (i = 0; i < P; i++) { for (j = 0; j < Q; j++) { BASE x = FUNCTION (gsl_matrix, get) (a, i, j); BASE y = FUNCTION (gsl_matrix, get) (b, i, j); if (GSL_REAL (x) != (ATOMIC) (k + 5) || GSL_IMAG (x) != (ATOMIC) (k + 20) || GSL_REAL (y) != (ATOMIC) (k) || GSL_IMAG (y) != (ATOMIC) (k + 10)) { status = 1; } k++; } } gsl_test (status, NAME (gsl_matrix) "_swap"); } FUNCTION (gsl_matrix, free) (a); FUNCTION (gsl_matrix, free) (b); FUNCTION (gsl_matrix, free) (m); }