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/* Copyright 2019-2020. 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:
* 2017-2020 Martin Uecker <martin.uecker@med.uni-goettingen.de>
*/
#include <complex.h>
#include "num/multind.h"
#include "num/flpmath.h"
#include "num/ops_p.h"
#include "num/ops.h"
#include "misc/misc.h"
#include "misc/debug.h"
#include "misc/types.h"
#include "iter/italgos.h"
#include "iter/iter3.h"
#include "iter/iter4.h"
#include "iter/lsqr.h"
#include "iter/thresh.h"
#include "linops/someops.h"
#include "nlops/zexp.h"
#include "nlops/nlop.h"
#include "nlops/cast.h"
#include "utest.h"
static bool test_iter_irgnm0(bool v2, bool ref)
{
enum { N = 3 };
long dims[N] = { 10, 7, 3 };
complex float* dst1 = md_alloc(N, dims, CFL_SIZE);
complex float* src1 = md_alloc(N, dims, CFL_SIZE);
complex float* src2 = md_alloc(N, dims, CFL_SIZE);
md_zfill(N, dims, src1, 1.);
struct nlop_s* zexp = nlop_zexp_create(N, dims);
nlop_apply(zexp, N, dims, dst1, N, dims, src1);
md_zfill(N, dims, src2, 0.);
(v2 ? iter4_irgnm2 : iter4_irgnm)(CAST_UP(&iter3_irgnm_defaults), zexp,
2 * md_calc_size(N, dims), (float*)src2, ref ? (const float*)src1 : NULL,
2 * md_calc_size(N, dims), (const float*)dst1, NULL,
(struct iter_op_s){ NULL, NULL });
double err = md_znrmse(N, dims, src2, src1);
nlop_free(zexp);
md_free(src1);
md_free(dst1);
md_free(src2);
UT_ASSERT(err < (ref ? 1.E-7 : 0.01));
}
static bool test_iter_irgnm_lsqr0(bool ref)
{
enum { N = 3 };
long dims[N] = { 10, 7, 3 };
complex float* dst1 = md_alloc(N, dims, CFL_SIZE);
complex float* src1 = md_alloc(N, dims, CFL_SIZE);
complex float* src2 = md_alloc(N, dims, CFL_SIZE);
complex float* src3 = md_alloc(N, dims, CFL_SIZE);
md_zfill(N, dims, src1, 1.);
struct nlop_s* zexp = nlop_zexp_create(N, dims);
nlop_apply(zexp, N, dims, dst1, N, dims, src1);
md_zfill(N, dims, src2, 0.);
md_zfill(N, dims, src3, 0.);
const struct operator_p_s* lsqr = NULL;
iter4_irgnm2(CAST_UP(&iter3_irgnm_defaults), zexp,
2 * md_calc_size(N, dims), (float*)src2, ref ? (const float*)src1 : NULL,
2 * md_calc_size(N, dims), (const float*)dst1, lsqr,
(struct iter_op_s){ NULL, NULL });
struct iter_conjgrad_conf conf = iter_conjgrad_defaults;
conf.maxiter = 100;
conf.l2lambda = 1.;
conf.tol = 0.1;
auto der = linop_clone(&zexp->derivative[0][0]);
lsqr = lsqr2_create(&lsqr_defaults,
iter2_conjgrad, CAST_UP(&conf),
NULL, der, NULL,
0, NULL, NULL, NULL);
linop_free(der);
iter4_irgnm2(CAST_UP(&iter3_irgnm_defaults), zexp,
2 * md_calc_size(N, dims), (float*)src3, ref ? (const float*)src1 : NULL,
2 * md_calc_size(N, dims), (const float*)dst1, lsqr,
(struct iter_op_s){ NULL, NULL });
double err = md_znrmse(N, dims, src2, src3);
operator_p_free(lsqr);
nlop_free(zexp);
md_free(src1);
md_free(dst1);
md_free(src2);
md_free(src3);
UT_ASSERT(err < 1.E-10);
}
static bool test_iter_irgnm_lsqr1(bool ref, bool regu)
{
enum { N = 3 };
long dims[N] = { 10, 7, 3 };
long dims1[N] = { 10, 7, 1 };
long dims2[N] = { 10, 7, 2 };
complex float* dst1 = md_alloc(N, dims, CFL_SIZE);
complex float* src1 = md_alloc(N, dims, CFL_SIZE);
complex float* src2 = md_alloc(N, dims, CFL_SIZE);
md_zfill(N, dims, src1, 1.);
struct nlop_s* zexp = nlop_zexp_create(N, dims);
nlop_apply(zexp, N, dims, dst1, N, dims, src1);
md_zfill(N, dims, src2, 0.);
const struct operator_p_s* lsqr = NULL;
struct iter_admm_conf conf = iter_admm_defaults;
conf.rho = 1.E-5;
auto p1 = prox_thresh_create(3, dims1, 0.5, 0u);
auto p2 = prox_thresh_create(3, dims2, 0.5, 0u);
const struct operator_p_s* prox_ops[1] = { operator_p_stack(2, 2, p1, p2) };
operator_p_free(p1);
operator_p_free(p2);
auto der = linop_clone(&zexp->derivative[0][0]);
const struct linop_s* trafos[1] = { linop_identity_create(3, dims) };
lsqr = lsqr2_create(&lsqr_defaults,
iter2_admm, CAST_UP(&conf),
NULL, der, NULL,
regu ? 1 : 0,
regu ? prox_ops : NULL,
regu ? trafos : NULL,
NULL);
linop_free(der);
linop_free(trafos[0]);
operator_p_free(prox_ops[0]);
struct iter3_irgnm_conf irgnm_conf = iter3_irgnm_defaults;
irgnm_conf.iter = 4;
iter4_irgnm2(CAST_UP(&irgnm_conf), zexp,
2 * md_calc_size(N, dims), (float*)src2, ref ? (const float*)src1 : NULL,
2 * md_calc_size(N, dims), (const float*)dst1, lsqr,
(struct iter_op_s){ NULL, NULL });
double err = md_znrmse(N, dims, src1, src2);
operator_p_free(lsqr);
nlop_free(zexp);
md_free(src1);
md_free(dst1);
md_free(src2);
UT_ASSERT(err < 1.E-3);
}
static bool test_iter_irgnm(void)
{
return test_iter_irgnm0(false, false)
&& test_iter_irgnm0(false, true);
}
UT_REGISTER_TEST(test_iter_irgnm);
static bool test_iter_irgnm2(void)
{
return test_iter_irgnm0(true, false)
&& test_iter_irgnm0(true, true);
}
UT_REGISTER_TEST(test_iter_irgnm2);
static bool test_iter_irgnm_lsqr(void)
{
return test_iter_irgnm_lsqr0(false)
&& test_iter_irgnm_lsqr0(true);
}
UT_REGISTER_TEST(test_iter_irgnm_lsqr);
static bool test_iter_irgnm_lsqr_l1(void)
{
return test_iter_irgnm_lsqr1(false, true)
&& test_iter_irgnm_lsqr1(false, false)
&& test_iter_irgnm_lsqr1(true, true)
&& test_iter_irgnm_lsqr1(true, false);
}
UT_REGISTER_TEST(test_iter_irgnm_lsqr_l1);
static bool test_iter_irgnm_l1(void)
{
enum { N = 3 };
long dims[N] = { 4, 2, 3 };
long dims1[N] = { 4, 2, 1 };
long dims2[N] = { 4, 2, 2 };
complex float* dst1 = md_alloc(N, dims, CFL_SIZE);
complex float* src1 = md_alloc(N, dims, CFL_SIZE);
complex float* src2 = md_alloc(N, dims, CFL_SIZE);
complex float* src3 = md_alloc(N, dims, CFL_SIZE);
md_zfill(N, dims, src1, 1.);
const struct linop_s* id = linop_identity_create(3, dims);
struct nlop_s* nlid = nlop_from_linop(id);
nlop_apply(nlid, N, dims, dst1, N, dims, src1);
md_zfill(N, dims, src2, 0.975);
md_zfill(N, dims, src3, 0.);
const struct operator_p_s* lsqr = NULL;
struct iter_fista_conf conf = iter_fista_defaults;
conf.maxiter = 10;
const struct linop_s* trafos[1] = { id };
auto p1 = prox_thresh_create(3, dims1, 0.5, 0u);
auto p2 = prox_thresh_create(3, dims2, 0.5, 0u);
const struct operator_p_s* prox_ops[1] = { operator_p_stack(2, 2, p1, p2) };
operator_p_free(p1);
operator_p_free(p2);
lsqr = lsqr2_create(&lsqr_defaults,
iter2_fista, CAST_UP(&conf),
NULL, &nlid->derivative[0][0], NULL,
1, prox_ops, trafos, NULL);
struct iter3_irgnm_conf conf2 = iter3_irgnm_defaults;
conf2.redu = 1.;
conf2.iter = 1.;
iter4_irgnm2(CAST_UP(&conf2), nlid,
2 * md_calc_size(N, dims), (float*)src3, NULL,
2 * md_calc_size(N, dims), (const float*)dst1, lsqr,
(struct iter_op_s){ NULL, NULL });
double err = md_znrmse(N, dims, src2, src3);
nlop_free(nlid);
linop_free(id);
operator_p_free(prox_ops[0]);
operator_p_free(lsqr);
md_free(src1);
md_free(dst1);
md_free(src2);
md_free(src3);
UT_ASSERT(err < 1.E-10);
}
UT_REGISTER_TEST(test_iter_irgnm_l1);
static bool test_iter_lsqr_warmstart(void)
{
enum { N = 3 };
long dims[N] = { 4, 2, 3 };
complex float* src = md_alloc(N, dims, CFL_SIZE);
complex float* dst = md_alloc(N, dims, CFL_SIZE);
md_zfill(N, dims, src, 1.66);
md_zfill(N, dims, dst, 0.66);
const struct linop_s* id = linop_identity_create(3, dims);
struct lsqr_conf conf = lsqr_defaults;
conf.warmstart = true;
struct iter_conjgrad_conf cg_conf = iter_conjgrad_defaults;
cg_conf.maxiter = 0;
const struct operator_p_s* lsqr = lsqr2_create(&conf,
iter2_conjgrad, CAST_UP(&cg_conf),
NULL, id, NULL,
0, NULL, NULL, NULL);
operator_p_apply(lsqr, 0.3, N, dims, dst, N, dims, src);
md_zfill(N, dims, src, 0.66);
double err = md_znrmse(N, dims, src, dst);
linop_free(id);
md_free(src);
md_free(dst);
operator_p_free(lsqr);
UT_ASSERT(err < UT_TOL);
}
UT_REGISTER_TEST(test_iter_lsqr_warmstart);
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