/
test_back_and_forth.c
626 lines (508 loc) · 19.3 KB
/
test_back_and_forth.c
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#include <setjmp.h>
#include <stdarg.h>
#include <stddef.h>
#include "s2let/s2let.h"
#include <cmocka.h>
const int seed = 1;
void test_transform_axisym_lm_wav(void **state) {
const s2let_parameters_t parameters = *(s2let_parameters_t *)*state;
double *wav_lm, *scal_lm;
// Allocate the wavelet kernels
s2let_transform_axisym_lm_allocate_wav(&wav_lm, &scal_lm, ¶meters);
// Compute the wavelet kernels
s2let_transform_axisym_lm_wav(wav_lm, scal_lm, ¶meters);
complex double *f_wav_lm, *f_scal_lm, *flm, *flm_rec;
s2let_allocate_lm(&flm, parameters.L);
s2let_allocate_lm(&flm_rec, parameters.L);
// Generate a random spherical harmonic decomposition
s2let_lm_random_flm(flm, parameters.L, 0, seed);
// Allocate space for the wavelet scales (their harmonic coefficients)
s2let_transform_axisym_lm_allocate_f_wav(&f_wav_lm, &f_scal_lm, ¶meters);
// Perform the wavelet transform through exact harmonic tiling
s2let_transform_axisym_lm_wav_analysis(
f_wav_lm, f_scal_lm, flm, wav_lm, scal_lm, ¶meters);
// Reconstruct the initial harmonic coefficients from those of the wavelets
s2let_transform_axisym_lm_wav_synthesis(
flm_rec, f_wav_lm, f_scal_lm, wav_lm, scal_lm, ¶meters);
// Compute the maximum absolute error on the harmonic coefficients
for (int i = 0; i < parameters.L * parameters.L; i += 1) {
assert_float_equal(creal(flm[i]), creal(flm_rec[i]), 1e-12);
assert_float_equal(cimag(flm[i]), cimag(flm_rec[i]), 1e-12);
}
free(flm);
free(flm_rec);
free(f_wav_lm);
free(f_scal_lm);
free(wav_lm);
free(scal_lm);
}
void test_transform_axisym_lm_wav_multires(void **state) {
const s2let_parameters_t parameters = *(s2let_parameters_t *)*state;
double *wav_lm, *scal_lm;
// Allocate the wavelet kernels
s2let_transform_axisym_lm_allocate_wav(&wav_lm, &scal_lm, ¶meters);
// Compute the wavelet kernels
s2let_transform_axisym_lm_wav(wav_lm, scal_lm, ¶meters);
complex double *f_wav_lm, *f_scal_lm, *flm, *flm_rec;
s2let_allocate_lm(&flm, parameters.L);
s2let_allocate_lm(&flm_rec, parameters.L);
// Generate a random spherical harmonic decomposition
s2let_lm_random_flm(flm, parameters.L, 0, seed);
// Allocate space for the wavelet scales (their harmonic coefficients)
s2let_transform_axisym_lm_allocate_f_wav_multires(&f_wav_lm, &f_scal_lm, ¶meters);
// Perform the wavelet transform through exact harmonic tiling
s2let_transform_axisym_lm_wav_analysis_multires(
f_wav_lm, f_scal_lm, flm, wav_lm, scal_lm, ¶meters);
// Reconstruct the initial harmonic coefficients from those of the wavelets
s2let_transform_axisym_lm_wav_synthesis_multires(
flm_rec, f_wav_lm, f_scal_lm, wav_lm, scal_lm, ¶meters);
// Compute the maximum absolute error on the harmonic coefficients
for (int i = 0; i < parameters.L * parameters.L; i += 1) {
assert_float_equal(creal(flm[i]), creal(flm_rec[i]), 1e-12);
assert_float_equal(cimag(flm[i]), cimag(flm_rec[i]), 1e-12);
}
free(flm);
free(flm_rec);
free(f_wav_lm);
free(f_scal_lm);
free(wav_lm);
free(scal_lm);
}
void test_wav_transform_wavlm_manual(void **state) {
const s2let_parameters_t parameters = *(s2let_parameters_t *)*state;
const int J = s2let_j_max(¶meters) - parameters.J_min;
complex double *psi;
double *phi;
s2let_tiling_wavelet_allocate(&psi, &phi, ¶meters);
s2let_tiling_wavelet(psi, phi, ¶meters);
const int scal_bandlimit =
parameters.upsample
? parameters.L
: MIN(s2let_bandlimit(parameters.J_min - 1, ¶meters), parameters.L);
complex double *wav_l = (complex double *)calloc(
(J + 1) * parameters.L * parameters.L, sizeof(complex double));
int *wav_bandlimits = (int *)calloc(J + 1, sizeof(int));
for (int j = 0; j <= J; ++j) {
wav_bandlimits[j] =
parameters.upsample
? parameters.L
: MIN(s2let_bandlimit(parameters.J_min + j, ¶meters), parameters.L);
for (int i = 0; i < parameters.L * parameters.L; ++i)
wav_l[j * parameters.L * parameters.L + i] =
psi[(parameters.J_min + j) * parameters.L * parameters.L + i];
}
complex double *f_wav, *f_scal, *flm, *flm_rec;
s2let_allocate_lm(&flm, parameters.L);
s2let_allocate_lm(&flm_rec, parameters.L);
// Generate a random spherical harmonic decomposition
s2let_lm_random_flm(flm, parameters.L, parameters.spin, seed);
// Allocate space for the wavelet scales (their harmonic/Wigner coefficients)
s2let_allocate_f_wav_manual(
&f_wav, &f_scal, wav_bandlimits, scal_bandlimit, parameters.N, J, ¶meters);
// Perform the wavelet transform through exact harmonic tiling
s2let_analysis_lm2wav_manual(
f_wav,
f_scal,
flm,
phi,
wav_l,
scal_bandlimit,
wav_bandlimits,
J,
parameters.L,
parameters.spin,
parameters.N);
// Reconstruct the initial harmonic coefficients from those of the wavelets
s2let_synthesis_wav2lm_manual(
flm_rec,
f_wav,
f_scal,
phi,
wav_l,
scal_bandlimit,
wav_bandlimits,
J,
parameters.L,
parameters.spin,
parameters.N);
for (int i = 0; i < parameters.L * parameters.L; i += 1) {
assert_float_equal(creal(flm[i]), creal(flm_rec[i]), 1e-12);
assert_float_equal(cimag(flm[i]), cimag(flm_rec[i]), 1e-12);
}
free(flm);
free(flm_rec);
free(f_wav);
free(f_scal);
free(psi);
free(phi);
}
void test_wav_transform_harmonic(void **state) {
const s2let_parameters_t parameters = *(s2let_parameters_t *)*state;
complex double *psi;
double *phi;
s2let_tiling_wavelet_allocate(&psi, &phi, ¶meters);
s2let_tiling_wavelet(psi, phi, ¶meters);
complex double *f_wav_lmn, *f_scal_lm, *flm, *flm_rec;
s2let_allocate_lm(&flm, parameters.L);
s2let_allocate_lm(&flm_rec, parameters.L);
s2let_lm_random_flm(flm, parameters.L, parameters.spin, seed);
s2let_allocate_lmn_f_wav(&f_wav_lmn, &f_scal_lm, ¶meters);
s2let_analysis_lm2lmn(f_wav_lmn, f_scal_lm, flm, psi, phi, ¶meters);
s2let_synthesis_lmn2lm(flm_rec, f_wav_lmn, f_scal_lm, psi, phi, ¶meters);
for (int i = 0; i < parameters.L * parameters.L; i += 1) {
assert_float_equal(creal(flm[i]), creal(flm_rec[i]), 1e-12);
assert_float_equal(cimag(flm[i]), cimag(flm_rec[i]), 1e-12);
}
free(flm);
free(flm_rec);
free(f_wav_lmn);
free(f_scal_lm);
free(psi);
free(phi);
}
void test_transform_axisym_wav(void **state) {
const s2let_parameters_t parameters = *(s2let_parameters_t *)*state;
complex double *f, *f_rec, *flm, *flm_rec;
s2let_allocate_lm(&flm, parameters.L);
s2let_allocate_lm(&flm_rec, parameters.L);
s2let_allocate_mw(&f, parameters.L);
s2let_allocate_mw(&f_rec, parameters.L);
s2let_lm_random_flm(flm, parameters.L, parameters.spin, seed);
ssht_core_mw_inverse_sov_sym(
f,
flm,
parameters.L,
parameters.spin,
parameters.dl_method,
parameters.verbosity);
complex double *f_wav, *f_scal;
s2let_transform_axisym_allocate_mw_f_wav(&f_wav, &f_scal, ¶meters);
s2let_transform_axisym_wav_analysis_mw(f_wav, f_scal, f, ¶meters);
s2let_transform_axisym_wav_synthesis_mw(f_rec, f_wav, f_scal, ¶meters);
ssht_core_mw_forward_sov_conv_sym(
flm_rec,
f_rec,
parameters.L,
parameters.spin,
parameters.dl_method,
parameters.verbosity);
for (int i = 0; i < parameters.L * parameters.L; i += 1) {
assert_float_equal(creal(flm[i]), creal(flm_rec[i]), 1e-12);
assert_float_equal(cimag(flm[i]), cimag(flm_rec[i]), 1e-12);
}
free(f);
free(f_rec);
free(f_wav);
free(f_scal);
}
void test_transform_axisym_wav_real(void **state) {
s2let_parameters_t parameters = *(s2let_parameters_t *)*state;
parameters.reality = 1;
complex double *flm, *flm_rec;
double *f, *f_rec;
s2let_allocate_lm(&flm, parameters.L);
s2let_allocate_lm(&flm_rec, parameters.L);
s2let_allocate_mw_real(&f, parameters.L);
s2let_allocate_mw_real(&f_rec, parameters.L);
s2let_lm_random_flm_real(flm, parameters.L, seed);
ssht_core_mw_inverse_sov_sym_real(
f, flm, parameters.L, parameters.dl_method, parameters.verbosity);
double *f_wav, *f_scal;
s2let_transform_axisym_allocate_mw_f_wav_real(&f_wav, &f_scal, ¶meters);
s2let_transform_axisym_wav_analysis_mw_real(f_wav, f_scal, f, ¶meters);
s2let_transform_axisym_wav_synthesis_mw_real(f_rec, f_wav, f_scal, ¶meters);
ssht_core_mw_forward_sov_conv_sym_real(
flm_rec, f_rec, parameters.L, parameters.dl_method, parameters.verbosity);
for (int i = 0; i < parameters.L * parameters.L; i += 1) {
assert_float_equal(creal(flm[i]), creal(flm_rec[i]), 1e-12);
assert_float_equal(cimag(flm[i]), cimag(flm_rec[i]), 1e-12);
}
free(f);
free(f_rec);
free(f_wav);
free(f_scal);
}
void test_transform_axisym_wav_multires(void **state) {
const s2let_parameters_t parameters = *(s2let_parameters_t *)*state;
if (parameters.spin != 0)
skip();
complex double *f, *f_rec, *flm, *flm_rec;
s2let_allocate_lm(&flm, parameters.L);
s2let_allocate_lm(&flm_rec, parameters.L);
s2let_allocate_mw(&f, parameters.L);
s2let_allocate_mw(&f_rec, parameters.L);
s2let_lm_random_flm(flm, parameters.L, 0, seed);
ssht_core_mw_inverse_sov_sym(
f,
flm,
parameters.L,
parameters.spin,
parameters.dl_method,
parameters.verbosity);
complex double *f_wav, *f_scal;
s2let_transform_axisym_allocate_mw_f_wav_multires(&f_wav, &f_scal, ¶meters);
s2let_transform_axisym_wav_analysis_mw_multires(f_wav, f_scal, f, ¶meters);
s2let_transform_axisym_wav_synthesis_mw_multires(f_rec, f_wav, f_scal, ¶meters);
ssht_core_mw_forward_sov_conv_sym(
flm_rec,
f_rec,
parameters.L,
parameters.spin,
parameters.dl_method,
parameters.verbosity);
for (int i = 0; i < parameters.L * parameters.L; i += 1) {
assert_float_equal(creal(flm[i]), creal(flm_rec[i]), 1e-12);
assert_float_equal(cimag(flm[i]), cimag(flm_rec[i]), 1e-12);
}
free(f);
free(f_rec);
free(f_wav);
free(f_scal);
}
void test_transform_axisym_wav_multires_real(void **state) {
s2let_parameters_t parameters = *(s2let_parameters_t *)*state;
parameters.reality = 1;
complex double *flm, *flm_rec;
double *f, *f_rec;
s2let_allocate_lm(&flm, parameters.L);
s2let_allocate_lm(&flm_rec, parameters.L);
s2let_allocate_mw_real(&f, parameters.L);
s2let_allocate_mw_real(&f_rec, parameters.L);
s2let_lm_random_flm_real(flm, parameters.L, seed);
ssht_core_mw_inverse_sov_sym_real(
f, flm, parameters.L, parameters.dl_method, parameters.verbosity);
double *f_wav, *f_scal;
s2let_transform_axisym_allocate_mw_f_wav_multires_real(&f_wav, &f_scal, ¶meters);
s2let_transform_axisym_wav_analysis_mw_multires_real(f_wav, f_scal, f, ¶meters);
s2let_transform_axisym_wav_synthesis_mw_multires_real(
f_rec, f_wav, f_scal, ¶meters);
ssht_core_mw_forward_sov_conv_sym_real(
flm_rec, f_rec, parameters.L, parameters.dl_method, parameters.verbosity);
for (int i = 0; i < parameters.L * parameters.L; i += 1) {
assert_float_equal(creal(flm[i]), creal(flm_rec[i]), 1e-12);
assert_float_equal(cimag(flm[i]), cimag(flm_rec[i]), 1e-12);
}
free(f);
free(f_rec);
free(f_wav);
free(f_scal);
}
void test_wav_transform_mw(void **state) {
const s2let_parameters_t parameters = *(s2let_parameters_t *)*state;
complex double *f, *f_rec, *flm, *flm_rec;
s2let_allocate_lm(&flm, parameters.L);
s2let_allocate_lm(&flm_rec, parameters.L);
s2let_allocate_mw(&f, parameters.L);
s2let_allocate_mw(&f_rec, parameters.L);
s2let_lm_random_flm(flm, parameters.L, parameters.spin, seed);
ssht_core_mw_inverse_sov_sym(
f,
flm,
parameters.L,
parameters.spin,
parameters.dl_method,
parameters.verbosity);
complex double *f_wav, *f_scal;
s2let_allocate_f_wav(&f_wav, &f_scal, ¶meters);
s2let_analysis_px2wav(f_wav, f_scal, f, ¶meters);
s2let_synthesis_wav2px(f_rec, f_wav, f_scal, ¶meters);
ssht_core_mw_forward_sov_conv_sym(
flm_rec,
f_rec,
parameters.L,
parameters.spin,
parameters.dl_method,
parameters.verbosity);
for (int i = 0; i < parameters.L * parameters.L; i += 1) {
assert_float_equal(creal(flm[i]), creal(flm_rec[i]), 1e-12);
assert_float_equal(cimag(flm[i]), cimag(flm_rec[i]), 1e-12);
}
free(f);
free(f_rec);
free(flm);
free(flm_rec);
free(f_wav);
free(f_scal);
}
void test_wav_transform_mw_real(void **state) {
s2let_parameters_t parameters = *(s2let_parameters_t *)*state;
parameters.reality = 1;
double *f, *f_rec;
complex double *flm, *flm_rec;
s2let_allocate_lm(&flm, parameters.L);
s2let_allocate_lm(&flm_rec, parameters.L);
s2let_allocate_mw_real(&f, parameters.L);
s2let_allocate_mw_real(&f_rec, parameters.L);
s2let_lm_random_flm_real(flm, parameters.L, seed);
ssht_core_mw_inverse_sov_sym_real(
f, flm, parameters.L, parameters.dl_method, parameters.verbosity);
double *f_wav, *f_scal;
s2let_allocate_f_wav_real(&f_wav, &f_scal, ¶meters);
s2let_analysis_px2wav_real(f_wav, f_scal, f, ¶meters);
s2let_synthesis_wav2px_real(f_rec, f_wav, f_scal, ¶meters);
ssht_core_mw_forward_sov_conv_sym_real(
flm_rec, f_rec, parameters.L, parameters.dl_method, parameters.verbosity);
for (int i = 0; i < parameters.L * parameters.L; i += 1) {
assert_float_equal(creal(flm[i]), creal(flm_rec[i]), 1e-12);
assert_float_equal(cimag(flm[i]), cimag(flm_rec[i]), 1e-12);
}
free(f);
free(f_rec);
free(flm);
free(flm_rec);
free(f_wav);
free(f_scal);
}
void test_wav_transform_mwss(void **state) {
skip();
s2let_parameters_t parameters = *(s2let_parameters_t *)*state;
parameters.sampling_scheme = S2LET_SAMPLING_MW_SS;
complex double *f, *f_rec, *flm, *flm_rec;
s2let_allocate_lm(&flm, parameters.L);
s2let_allocate_lm(&flm_rec, parameters.L);
s2let_allocate_mwss(&f, parameters.L);
s2let_allocate_mwss(&f_rec, parameters.L);
s2let_lm_random_flm(flm, parameters.L, parameters.spin, seed);
ssht_core_mw_inverse_sov_sym_ss(
f,
flm,
parameters.L,
parameters.spin,
parameters.dl_method,
parameters.verbosity);
complex double *f_wav, *f_scal;
s2let_allocate_f_wav(&f_wav, &f_scal, ¶meters);
s2let_analysis_px2wav(f_wav, f_scal, f, ¶meters);
s2let_synthesis_wav2px(f_rec, f_wav, f_scal, ¶meters);
ssht_core_mw_forward_sov_conv_sym_ss(
flm_rec,
f_rec,
parameters.L,
parameters.spin,
parameters.dl_method,
parameters.verbosity);
for (int i = 0; i < parameters.L * parameters.L; i += 1) {
assert_float_equal(creal(flm[i]), creal(flm_rec[i]), 1e-12);
assert_float_equal(cimag(flm[i]), cimag(flm_rec[i]), 1e-12);
}
free(f);
free(f_rec);
free(flm);
free(flm_rec);
free(f_wav);
free(f_scal);
}
void test_wav_transform_mwss_real(void **state) {
s2let_parameters_t parameters = *(s2let_parameters_t *)*state;
parameters.sampling_scheme = S2LET_SAMPLING_MW_SS;
double *f, *f_rec;
complex double *flm, *flm_rec;
s2let_allocate_lm(&flm, parameters.L);
s2let_allocate_lm(&flm_rec, parameters.L);
s2let_allocate_mwss_real(&f, parameters.L);
s2let_allocate_mwss_real(&f_rec, parameters.L);
s2let_lm_random_flm_real(flm, parameters.L, seed);
ssht_core_mw_inverse_sov_sym_ss_real(
f, flm, parameters.L, parameters.dl_method, parameters.verbosity);
double *f_wav, *f_scal;
s2let_allocate_f_wav_real(&f_wav, &f_scal, ¶meters);
s2let_analysis_px2wav_real(f_wav, f_scal, f, ¶meters);
s2let_synthesis_wav2px_real(f_rec, f_wav, f_scal, ¶meters);
ssht_core_mw_forward_sov_conv_sym_ss_real(
flm_rec, f_rec, parameters.L, parameters.dl_method, parameters.verbosity);
for (int i = 0; i < parameters.L * parameters.L; i += 1) {
assert_float_equal(creal(flm[i]), creal(flm_rec[i]), 1e-12);
assert_float_equal(cimag(flm[i]), cimag(flm_rec[i]), 1e-12);
}
free(f);
free(f_rec);
free(flm);
free(flm_rec);
free(f_wav);
free(f_scal);
}
void test_wav_transform_lm2wav(void **state) {
const s2let_parameters_t parameters = *(s2let_parameters_t *)*state;
complex double *flm, *flm_rec;
s2let_allocate_lm(&flm, parameters.L);
s2let_allocate_lm(&flm_rec, parameters.L);
s2let_lm_random_flm(flm, parameters.L, parameters.spin, seed);
complex double *f_wav, *f_scal;
s2let_allocate_f_wav(&f_wav, &f_scal, ¶meters);
s2let_analysis_lm2wav(f_wav, f_scal, flm, ¶meters);
s2let_synthesis_wav2lm(flm_rec, f_wav, f_scal, ¶meters);
for (int i = 0; i < parameters.L * parameters.L; i += 1) {
assert_float_equal(creal(flm[i]), creal(flm_rec[i]), 1e-12);
assert_float_equal(cimag(flm[i]), cimag(flm_rec[i]), 1e-12);
}
free(flm);
free(flm_rec);
free(f_wav);
free(f_scal);
}
void test_wav_transform_lm2wav_real(void **state) {
s2let_parameters_t parameters = *(s2let_parameters_t *)*state;
parameters.reality = 1;
complex double *flm, *flm_rec;
s2let_allocate_lm(&flm, parameters.L);
s2let_allocate_lm(&flm_rec, parameters.L);
s2let_lm_random_flm_real(flm, parameters.L, seed);
double *f_wav, *f_scal;
s2let_allocate_f_wav_real(&f_wav, &f_scal, ¶meters);
s2let_analysis_lm2wav_real(f_wav, f_scal, flm, ¶meters);
s2let_synthesis_wav2lm_real(flm_rec, f_wav, f_scal, ¶meters);
for (int i = 0; i < parameters.L * parameters.L; i += 1) {
assert_float_equal(creal(flm[i]), creal(flm_rec[i]), 1e-12);
assert_float_equal(cimag(flm[i]), cimag(flm_rec[i]), 1e-12);
}
free(flm);
free(flm_rec);
free(f_wav);
free(f_scal);
}
static s2let_parameters_t state(int spin, int upsample) {
const s2let_parameters_t parameters = {
.L = 16,
.N = 4,
.B = 2,
.J_min = 2,
.spin = spin,
.original_spin = 0,
.upsample = upsample,
.dl_method = SSHT_DL_RISBO,
.reality = 0,
.sampling_scheme = S2LET_SAMPLING_MW,
};
return parameters;
};
int main(void) {
const s2let_parameters_t spinzero = state(0, 1);
const s2let_parameters_t spinzero_noupsample = state(0, 0);
const s2let_parameters_t spintwo = state(2, 1);
const s2let_parameters_t spintwo_noupsample = state(2, 0);
const struct CMUnitTest tests[] = {
#define S2LET_TESTS(name) \
cmocka_unit_test_prestate(name, (void *)&spinzero_noupsample), \
cmocka_unit_test_prestate(name, (void *)&spinzero), \
cmocka_unit_test_prestate(name, (void *)&spintwo), \
cmocka_unit_test_prestate(name, (void *)&spintwo_noupsample)
S2LET_TESTS(test_transform_axisym_lm_wav),
S2LET_TESTS(test_transform_axisym_lm_wav_multires),
S2LET_TESTS(test_wav_transform_wavlm_manual),
S2LET_TESTS(test_wav_transform_harmonic),
S2LET_TESTS(test_wav_transform_mw),
S2LET_TESTS(test_wav_transform_mwss),
S2LET_TESTS(test_wav_transform_lm2wav),
#undef S2LET_TESTS
#define S2LET_TESTS(name) cmocka_unit_test_prestate(name, (void *)&spinzero)
S2LET_TESTS(test_transform_axisym_wav),
S2LET_TESTS(test_transform_axisym_wav_multires),
S2LET_TESTS(test_transform_axisym_wav_real),
S2LET_TESTS(test_transform_axisym_wav_multires_real),
S2LET_TESTS(test_wav_transform_mw_real),
S2LET_TESTS(test_wav_transform_mwss_real),
S2LET_TESTS(test_wav_transform_lm2wav_real),
#undef S2LET_TESTS
};
return cmocka_run_group_tests(tests, NULL, NULL);
}