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/* Copyright 2017-2018. Martin Uecker.
* All rights reserved. Use of this source code is governed by
* a BSD-style license which can be found in the LICENSE file.
*
* Authors:
* 2017-2018 Martin Uecker <martin.uecker@med.uni-goettingen.de>
*/
#include <complex.h>
#include <assert.h>
#include "num/multind.h"
#include "num/flpmath.h"
#include "num/rand.h"
#include "linops/linop.h"
#include "linops/lintest.h"
#include "noncart/nufft.h"
#include "misc/misc.h"
#include "misc/debug.h"
#include "utest.h"
enum { N = 8 };
static const long ksp_dims[N] = { 1, 5, 1, 1, 1, 1, 1, 1 };
static const long cim_dims[N] = { 8, 8, 1, 1, 1, 1, 1, 1 };
static const long trj_dims[N] = { 3, 5, 1, 1, 1, 1, 1, 1 };
static const complex float traj[5][3] = {
{ 0., 0. , 0. },
{ 1., 0. , 0. },
{ 0., 1. , 0. },
{ -1., 0., 0. },
{ 0., -1., 0. },
};
static struct linop_s* create_nufft(bool toeplitz, bool use_weights)
{
const complex float weights[5] = {
0.5, 0.5, 0.5, 0.5, 0.5
};
struct nufft_conf_s conf = nufft_conf_defaults;
conf.toeplitz = toeplitz;
return nufft_create(N, ksp_dims, cim_dims, trj_dims, &traj[0][0], use_weights ? weights : NULL, conf);
}
static const long ci2_dims[N] = { 8, 8, 1, 1, 1, 1, 2, 1 };
static const long ks2_dims[N] = { 1, 5, 1, 1, 1, 1, 2, 1 };
static const long tr2_dims[N] = { 3, 5, 1, 1, 1, 1, 1, 1 };
static const long bas_dims[N] = { 1, 1, 1, 1, 1, 3, 2, 1 };
static const long wg2_dims[N] = { 1, 5, 1, 1, 1, 3, 1, 1 };
static struct linop_s* create_nufft2(bool toeplitz)
{
const complex float weights[15] = {
0.5, 0.5, 0.5, 0.5, 0.5,
0.5, 0.5, 0.5, 0.5, 0.5,
0.5, 0.5, 0.5, 0.5, 0.5,
};
const complex float basis[6] = {
1., 0., 1., 0., 1., 0.,
};
struct nufft_conf_s conf = nufft_conf_defaults;
conf.toeplitz = toeplitz;
return nufft_create2(N, ks2_dims, ci2_dims, tr2_dims, &traj[0][0], wg2_dims, weights, bas_dims, basis, conf);
}
static bool test_nufft_forward(void)
{
const complex float src[] = {
1., 1., 1., 1., 1., 1., 1., 1.,
1., 1., 1., 1., 1., 1., 1., 1.,
1., 1., 1., 1., 1., 1., 1., 1.,
1., 1., 1., 1., 1., 1., 1., 1.,
1., 1., 1., 1., 1., 1., 1., 1.,
1., 1., 1., 1., 1., 1., 1., 1.,
1., 1., 1., 1., 1., 1., 1., 1.,
1., 1., 1., 1., 1., 1., 1., 1.,
};
struct linop_s* op = create_nufft(false, false);
complex float dst[5];
linop_forward(op, N, ksp_dims, dst, N, cim_dims, src);
linop_free(op);
return (cabsf(dst[0] - 8.f) < 0.02); // !
}
static bool test_nufft_adjoint(void)
{
struct linop_s* op = create_nufft(false, false);
float diff = linop_test_adjoint(op);
debug_printf(DP_DEBUG1, "adjoint diff: %f\n", diff);
bool ret = (diff < 1.E-5f);
linop_free(op);
return ret;
}
static bool test_nufft_normal(void)
{
struct linop_s* op = create_nufft(false, false);
float nrmse = linop_test_normal(op);
debug_printf(DP_DEBUG1, "normal nrmse: %f\n", nrmse);
bool ret = (nrmse < 1.E-7f);
linop_free(op);
return ret;
}
static bool test_nufft_toeplitz(bool use_weights)
{
complex float src[64];
complex float dst1[64] = { 0 };
complex float dst2[64] = { 0 };
md_gaussian_rand(N, cim_dims, src);
struct linop_s* op1 = create_nufft(false, use_weights);
linop_normal(op1, N, cim_dims, dst1, src);
linop_free(op1);
struct linop_s* op2 = create_nufft(true, use_weights);
linop_normal(op2, N, cim_dims, dst2, src);
linop_free(op2);
return md_znrmse(N, cim_dims, dst1, dst2) < 0.01;
}
static bool test_nufft_toeplitz_noweights(void)
{
return test_nufft_toeplitz(false);
}
static bool test_nufft_toeplitz_weights(void)
{
return test_nufft_toeplitz(true);
}
static bool test_nufft_toeplitz_forward(void)
{
complex float src[64];
complex float dst1[5] = { 0 };
complex float dst2[5] = { 0 };
md_gaussian_rand(N, cim_dims, src);
struct linop_s* op1 = create_nufft(false, false);
linop_forward(op1, N, ksp_dims, dst1, N, cim_dims, src);
linop_free(op1);
struct linop_s* op2 = create_nufft(true, false);
linop_forward(op2, N, ksp_dims, dst2, N, cim_dims, src);
linop_free(op2);
return md_znrmse(N, ksp_dims, dst1, dst2) < 0.01;
}
static bool test_nufft_basis_adjoint(void)
{
struct linop_s* op = create_nufft2(false);
float diff = linop_test_adjoint(op);
debug_printf(DP_DEBUG1, "adjoint diff: %f\n", diff);
bool ret = (diff < 1.E-6f);
linop_free(op);
return ret;
}
static bool test_nufft_basis_normal(void)
{
struct linop_s* op = create_nufft2(false);
float nrmse = linop_test_normal(op);
debug_printf(DP_DEBUG1, "normal nrmse: %f\n", nrmse);
bool ret = (nrmse < 1.E-7f);
linop_free(op);
return ret;
}
static bool test_nufft_basis_toeplitz(void)
{
complex float src[128];
complex float dst1[128];
complex float dst2[128];
assert(128 == md_calc_size(N, ci2_dims));
md_gaussian_rand(N, ci2_dims, src);
struct linop_s* op1 = create_nufft2(false);
linop_normal(op1, N, ci2_dims, dst1, src);
linop_free(op1);
struct linop_s* op2 = create_nufft2(true);
linop_normal(op2, N, ci2_dims, dst2, src);
linop_free(op2);
complex float sc = md_zscalar(N, ci2_dims, dst2, dst1);
float n = md_znorm(N, ci2_dims, dst1);
md_zsmul(N, ci2_dims, dst1, dst1, sc / (n * n));
return md_znrmse(N, ci2_dims, dst1, dst2) < 1.E-4;
}
UT_REGISTER_TEST(test_nufft_forward);
UT_REGISTER_TEST(test_nufft_adjoint);
UT_REGISTER_TEST(test_nufft_normal);
UT_REGISTER_TEST(test_nufft_toeplitz_weights);
UT_REGISTER_TEST(test_nufft_toeplitz_noweights);
UT_REGISTER_TEST(test_nufft_toeplitz_forward);
UT_REGISTER_TEST(test_nufft_basis_adjoint);
UT_REGISTER_TEST(test_nufft_basis_normal);
UT_REGISTER_TEST(test_nufft_basis_toeplitz);
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