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/*
Copyright (C) 2008-2015 Michele Martone
This file is part of librsb.
librsb is free software; you can redistribute it and/or modify it
under the terms of the GNU Lesser General Public License as published
by the Free Software Foundation; either version 3 of the License, or
(at your option) any later version.
librsb 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 Lesser General Public
License for more details.
You should have received a copy of the GNU Lesser General Public
License along with librsb; see the file COPYING.
If not, see <http://www.gnu.org/licenses/>.
*/
/* @cond INNERDOC */
/*!
* @file
* @author Michele Martone
* @brief
* This source file contains some functions testing accuracy.
* */
#include "rsb_internals.h"
RSB_INTERNALS_COMMON_HEAD_DECLS
#define RSB_NORMWISE_BACKWARD_ERROR_TOLERANCE 1.e-6
#define RSB_WANT_VERBOSE_ACCURACY_TESTS 0
rsb_err_t rsb__vectors_reinit(void *rhs, void *out, rsb_type_t typecode, rsb_nnz_idx_t rn, rsb_nnz_idx_t on, size_t incr, size_t inco)
{
if(RSB_SOME_ERROR(rsb__cblas_Xscal(typecode,on,NULL,out,inco))){ return RSB_ERR_INTERNAL_ERROR; }
if(RSB_SOME_ERROR(rsb__fill_with_ones( rhs,typecode,rn,incr))){ return RSB_ERR_INTERNAL_ERROR; }
return RSB_ERR_NO_ERROR;
}
void * rsb__calloc_vector(rsb_nnz_idx_t n, rsb_type_t typecode)
{
size_t so = RSB_SIZEOF(typecode);
return rsb__calloc(so*n);
}
void * rsb__malloc_vector(rsb_nnz_idx_t n, rsb_type_t typecode)
{
size_t so = RSB_SIZEOF(typecode);
return rsb__malloc(so*n);
}
void * rsb__realloc_vector(void* p, rsb_nnz_idx_t n, rsb_type_t typecode)
{
size_t so = RSB_SIZEOF(typecode);
return rsb__realloc(p,so*n);
}
rsb_err_t rsb__init_rsb_struct_from_coo(struct rsb_mtx_t *mtxAp, const struct rsb_coo_matrix_t *coop)
{
/* FIXME: UNFINISHED */
/* FIXME: static, local, new, and thus no error checking! */
rsb_err_t errval = RSB_ERR_NO_ERROR;
rsb__init_struct(mtxAp);
mtxAp->bpntr=coop->IA;
mtxAp->bindx=coop->JA;
mtxAp->VA=coop->VA;
mtxAp->typecode=coop->typecode;
mtxAp->nr=coop->nr;
mtxAp->nc=coop->nc;
mtxAp->nnz=coop->nnz;
mtxAp->br=1;
mtxAp->bc=1;
mtxAp->cpntr=0;
mtxAp->rpntr=0;
mtxAp->roff=0;
mtxAp->coff=0;
mtxAp->broff=0;
mtxAp->bcoff=0;
return errval;
}
rsb_err_t rsb__do_spmv_fullword_coo(const struct rsb_coo_matrix_t*coop, rsb_flags_t flags, const void * x, void * y, const void *alphap, const void * betap, rsb_coo_idx_t incx, rsb_coo_idx_t incy, rsb_trans_t transA)
{
/* FIXME: UNFINISHED */
struct rsb_mtx_t mtxA;
rsb_err_t errval = RSB_ERR_NO_ERROR;
RSB_DO_ERROR_CUMULATE(errval,rsb__init_rsb_struct_from_coo(&mtxA,coop));
if(RSB_SOME_ERROR(errval)) goto err;
flags = RSB_FLAG_DEFAULT_COO_MATRIX_FLAGS|RSB_DO_FLAG_FILTEROUT((flags),RSB_DO_FLAGS_EXTRACT_STORAGE(flags));
if((errval = rsb__do_set_init_storage_flags(&mtxA,flags))!=RSB_ERR_NO_ERROR)
goto err;
RSB_DO_FLAG_ADD(mtxA.flags,RSB_DO_FLAG_FILTERONLY(flags,RSB_FLAGS_RSB_AGNOSTIC));
RSB_DO_ERROR_CUMULATE(errval,rsb_do_spmv_non_recursive(&mtxA,x,y,alphap,betap,incx,incy,transA RSB_DEFAULT_INNER_NRHS_SPMV_ARGS ) );
err:
return errval;
}
static rsb_err_t rsb_do_check_normwise_backward_error(const struct rsb_mtx_t*mtxAp, const void *X, const void *AX, const void * B, rsb_trans_t transA)
{
/* normwise backward error in the infinity norm */
/* FIXME: UNFINISHED */
/* FIXME: this won't work for integer, of course */
rsb_err_t errval = RSB_ERR_NO_ERROR;
rsb_aligned_t Xinorm[RSB_CONST_ENOUGH_ALIGNED_FOR_ANY_TYPE];
rsb_aligned_t Binorm[RSB_CONST_ENOUGH_ALIGNED_FOR_ANY_TYPE];
rsb_aligned_t Ainorm[RSB_CONST_ENOUGH_ALIGNED_FOR_ANY_TYPE];
rsb_aligned_t denominator[RSB_CONST_ENOUGH_ALIGNED_FOR_ANY_TYPE];
rsb_aligned_t err[RSB_CONST_ENOUGH_ALIGNED_FOR_ANY_TYPE];
rsb_aligned_t eps[RSB_CONST_ENOUGH_ALIGNED_FOR_ANY_TYPE];
rsb_type_t typecode = mtxAp->typecode;
rsb_coo_idx_t tm = RSB_MTX_TRANSPOSED_ROWS(mtxAp,transA);
rsb_coo_idx_t tk = RSB_MTX_TRANSPOSED_COLS(mtxAp,transA);
RSB_NUMERICAL_TYPE_SET_ELEMENT_FROM_DOUBLE(eps,RSB_NORMWISE_BACKWARD_ERROR_TOLERANCE,typecode);
if(RSB_SOME_ERROR(errval = rsb__do_matrix_norm(mtxAp,Ainorm,RSB_EXTF_NORM_INF))){goto err;};
if(RSB_SOME_ERROR(errval = rsb__vector_sum_of_abs(Xinorm,X,typecode,tk))){goto err;}
if(RSB_SOME_ERROR(errval = rsb__vector_sum_of_abs(Binorm,B,typecode,tm))){goto err;}
if(RSB_SOME_ERROR(errval = rsb__vector_mult(Ainorm,Xinorm,denominator,typecode,1))){goto err;};;
if(RSB_SOME_ERROR(errval = rsb__util_vector_add(denominator,Binorm,typecode,1))){goto err;};;
if(RSB_SOME_ERROR(errval = rsb__vector_sum_of_abs_diffs(err,AX,B,typecode,tk))){goto err;};
if(RSB_SOME_ERROR(errval = rsb__util_vector_div(err,denominator,typecode,1))){goto err;};;
// checking if
if(!RSB_IS_ELEMENT_LESS_THAN(err,eps,typecode))
{
errval = RSB_ERR_INTERNAL_ERROR;
if(RSB_WANT_VERBOSE_ACCURACY_TESTS)
RSB_ERROR("error is %lg, more than %lg!\n",*(double*)(&err[0]),*(double*)(&eps[0]));
goto err;
}
else
{
if(RSB_WANT_VERBOSE_ACCURACY_TESTS)
RSB_STDOUT("error is %lg, less than %lg.\n",*(double*)(&err[0]),*(double*)(&eps[0]));
}
err:
return errval;
}
rsb_err_t rsb__do_spmv_accuracy_test(const struct rsb_coo_matrix_t*coop, rsb_thread_t * ca, rsb_thread_t cn, rsb_flags_t flags)
{
/* FIXME: UNFINISHED */
/* this is mostly a debug function */
/* FIXME: what about incx/incy/trans ? */
/* FIXME: shal support ca=NULL, cn=0 */
rsb_err_t errval = RSB_ERR_NO_ERROR;
rsb_thread_t ci=0;
void*X=NULL,*Y=NULL,*Z=NULL;
rsb_coo_idx_t vd;
rsb_coo_idx_t incx=1,incy=1;
rsb_trans_t transA = RSB_DEFAULT_TRANSPOSITION;
rsb_aligned_t alpha[RSB_CONST_ENOUGH_ALIGNED_FOR_ANY_TYPE];
rsb_aligned_t twoalpha[RSB_CONST_ENOUGH_ALIGNED_FOR_ANY_TYPE];
rsb_aligned_t zsum[RSB_CONST_ENOUGH_ALIGNED_FOR_ANY_TYPE];
rsb_thread_t default_ca[2],default_cn=2;
void*alphap=alpha,*betap=NULL/*,*twoalphap=twoalpha*/;
if(RSB_SOME_ERROR(errval = rsb__util_is_valid_coo_struct(coop)))
{
goto err;
}
rsb__util_set_area_to_converted_integer(alpha,coop->typecode,1);
rsb__util_set_area_to_converted_integer(twoalpha,coop->typecode,2);
vd = RSB_MAX(coop->nr,coop->nc);
X = rsb__malloc_vector(vd,coop->typecode);
Y = rsb__malloc_vector(vd,coop->typecode);
Z = rsb__calloc_vector(vd,coop->typecode);
if(!X||!Y||!Z){RSB_ERROR("vector allocation problems!\n");RSB_DO_ERROR_CUMULATE(errval,RSB_ERR_ENOMEM);goto err;}
rsb__fill_with_ones(X,coop->typecode,vd,1);
/* we compute spmv on this coo instance */
errval = rsb__do_spmv_fullword_coo(coop,flags,X,Z,alphap,betap,incx,incy,transA);
if(RSB_SOME_ERROR(errval)){RSB_ERROR("!\n");goto err;}
errval = rsb__util_vector_sum(zsum,Z,coop->typecode,vd);
if(RSB_SOME_ERROR(errval)){RSB_ERROR("!\n");goto err;}
rsb__vector_to_abs(zsum,coop->typecode,1);
/* FIXME: need clone + cleanup here! */
if(cn==0 || ca==NULL)
{
ca = default_ca;
cn = default_cn;
ca[0] = 1;
ca[1] = rsb_get_num_threads();
if(ca[1] <= ca[0]) cn = 1;
}
for(ci=0;ci<cn;++ci)
{
struct rsb_mtx_t*mtxAp=NULL;
rsb_aligned_t ysum[RSB_CONST_ENOUGH_ALIGNED_FOR_ANY_TYPE];
rsb__set_num_threads(ca[ci]);
if(RSB_WANT_VERBOSE_ACCURACY_TESTS)
RSB_STDOUT("for %d threads:\n",ca[ci]);
mtxAp = rsb__do_mtx_alloc_from_coo_const(coop->VA,coop->IA,coop->JA,coop->nnz,coop->typecode,coop->nr,coop->nc,RSB_DEFAULT_ROW_BLOCKING,RSB_DEFAULT_COL_BLOCKING,flags,&errval);
if(RSB_SOME_ERROR(errval)){RSB_ERROR("!\n");goto err;}
if(!mtxAp){errval = RSB_ERR_INTERNAL_ERROR;RSB_ERROR("!\n");goto err;}
rsb__cblas_Xscal(coop->typecode,vd,NULL,Y,1);
/* TODO: may iterate the following in order to test indeterminism */
if(mtxAp->nnz != coop->nnz)
{
/* input not cleaned up? */
if(RSB_WANT_VERBOSE_ACCURACY_TESTS)
RSB_STDOUT("%d vs %d nnz ? input not cleaned up?\n",mtxAp->nnz,coop->nnz);
errval = RSB_ERR_BADARGS;
goto ierr;
}
errval = rsb_do_spmv(transA,alphap,mtxAp,X,incx,betap,Y,incy);
if(RSB_SOME_ERROR(errval)){RSB_ERROR("!\n");goto ierr;}
errval = rsb__util_vector_sum(ysum,Y,coop->typecode,vd);
if(RSB_SOME_ERROR(errval)){RSB_ERROR("!\n");goto ierr;}
rsb__vector_to_abs(ysum,coop->typecode,1);
//rsb__debug_print_vector(ysum,1,coop->typecode,1);
if(!RSB_SOME_ERROR(rsb__do_are_same(ysum,zsum,1,coop->typecode,1,1)))
{
/* same result (no numerical error at all). no further check needed. */
if(RSB_WANT_VERBOSE_ACCURACY_TESTS)
RSB_STDOUT("Identical values.\n");
}
else
{
if(RSB_WANT_VERBOSE_ACCURACY_TESTS)
RSB_STDOUT("Non identical values. Checking backward error.\n");
errval = rsb_do_check_normwise_backward_error(mtxAp,X,Y,Z,transA);
if(RSB_SOME_ERROR(errval)){goto ierr;}
}
ierr:
RSB_MTX_FREE(mtxAp);
}
err:
RSB_CONDITIONAL_FREE(X);
RSB_CONDITIONAL_FREE(Y);
RSB_CONDITIONAL_FREE(Z);
return errval;
}
/* @endcond */
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