/* -*- mode: C++; tab-width: 8; indent-tabs-mode: t; c-basic-offset: 8 -*- */
// vim:sts=8:sw=8:ts=8:noet:sr:cino=>s,f0,{0,g0,(0,\:0,t0,+0,=s
//--------------------------------------------------------------------------
//                        Sanity check for ftrsm and ftrmm
//
//--------------------------------------------------------------------------

/*
 * Copyright (C) 2007 FFLAS-FFPACK
 * Written by Clément Pernet
 * This file is Free Software and part of FFLAS-FFPACK.
 *
 * ========LICENCE========
 * This file is part of the library FFLAS-FFPACK.
 *
 * FFLAS-FFPACK 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 2.1 of the License, or (at your option) any later version.
 *
 * This library 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 this library; if not, write to the Free Software
 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
 * ========LICENCE========
 *.
 */

#include <iomanip>
#include <iostream>
#include "givaro/modular-balanced.h"
//#include "fflas-ffpack/field/modular-int.h"
#include "fflas-ffpack/utils/timer.h"
#include "fflas-ffpack/utils/fflas_io.h"
#include "fflas-ffpack/fflas/fflas.h"
#include "givaro/givintprime.h"

using namespace std;
using namespace FFPACK;

//typedef Givaro::Modular<int> Field;
//typedef Givaro::Modular<float> Field;
typedef ModularBalanced<double> Field;

int main(int argc, char** argv){


 FFLAS::Timer tim;
	Givaro::IntPrimeDom IPD;
	uint64_t p;
	size_t M, N, K ;
	bool keepon = true;
	Givaro::Integer _p,tmp;
	Field::Element zero,one;
	cerr<<setprecision(10);

	size_t TMAX = 300;
	size_t PRIMESIZE = 23;
	if (argc > 1 )
		TMAX = atoi(argv[1]);
	if (argc > 2 )
		PRIMESIZE = atoi(argv[2]);

	FFLAS::FFLAS_TRANSPOSE trans;
	FFLAS::FFLAS_SIDE side;
	FFLAS::FFLAS_UPLO uplo;
	FFLAS::FFLAS_DIAG diag;
	size_t lda, ldb;

	Field::Element * A, *Abis, *B,* Bbis;
	Field::Element alpha;

	while (keepon){
		srandom(_p);
		do{
			//		max = Integer::random(2);
			_p = random();//max % (2<<30);
			IPD.prevprime( tmp, (_p% (1<<PRIMESIZE)) );
			p =  tmp;
		}while( (p <= 2) );

		Field F (p);
		F.init (zero,0.0);
		F.init (one,1.0);
		Field::RandIter RValue (F);

		do{
			M = (size_t)  random() % TMAX;
			N = (size_t)  random() % TMAX;
		} while ((M == 0) || (N == 0));

		ldb = N;

		if (random()%2)
			trans = FFLAS::FflasNoTrans;
		else
			trans = FFLAS::FflasTrans;


		if (random()%2)
			diag = FFLAS::FflasUnit;
		else
			diag = FFLAS::FflasNonUnit;

		if (random()%2){
			side = FFLAS::FflasLeft;
			K = M;
			lda = M;
		} else {
			side = FFLAS::FflasRight;
			K = N;
			lda = N;
		}

		if (random()%2)
			uplo = FFLAS::FflasUpper;
		else
			uplo = FFLAS::FflasLower;

		while (F.isZero(RValue.random (alpha)));

		A = FFLAS::fflas_new<Field::Element>(K*K);
		B = FFLAS::fflas_new<Field::Element>(M*N);
		Abis = FFLAS::fflas_new<Field::Element>(K*K);
		Bbis = FFLAS::fflas_new<Field::Element>(M*N);
		for (size_t i = 0; i < M; ++i)
			for (size_t j = 0; j < N; ++j){
				RValue.random (*(B + i*N + j));
				*(Bbis + i*N + j) = *(B + i*N + j);
			}
		for (size_t i = 0; i < K; ++i)
			for (size_t j = 0; j < K; ++j)
				*(Abis + i*K + j) = RValue.random (*(A + i*K + j));
		for (size_t i = 0; i < K; ++i){
			while (F.isZero(RValue.random (*(A + i*(K+1)))));
			*(Abis + i*(K +1)) = *(A + i*(K+1));
		}

		cout <<"p = "<<(size_t)p
		     <<" M = "<<M
		     <<" N = "<<N
		     <<((side==FFLAS::FflasLeft)?" Left ":" Right ")
		     <<((uplo==FFLAS::FflasLower)?" Lower ":" Upper ")
		     <<((trans==FFLAS::FflasTrans)?" Trans ":" NoTrans ")
		     <<((diag==FFLAS::FflasUnit)?" Unit ":" NonUnit ")
		     <<"....";


		tim.clear();
		tim.start();
		FFLAS::ftrsm (F, side, uplo, trans, diag, M, N, alpha,
			      A, lda, B, ldb);
		tim.stop();

		// Verification
		Field::Element invalpha;
		F.inv(invalpha, alpha);
		FFLAS::ftrmm (F, side, uplo, trans, diag, M, N, invalpha,
			      A, K, B, N);
		for (size_t i = 0;i < M;++i)
			for (size_t j = 0;j < N; ++j)
				if ( !F.areEqual (*(Bbis + i*N+ j ), *(B + i*N + j))){
					cerr<<endl
					    <<"Bbis ["<<i<<", "<<j<<"] = "<<(*(Bbis + i*N + j))
					    <<" ; B ["<<i<<", "<<j<<"] = "<<(*(B + i*N + j));

					keepon = false;
				}
		for (size_t i = 0;i < K; ++i)
			for (size_t j = 0;j < K; ++j)
				if ( !F.areEqual (*(A + i*K + j), *(Abis + i*K + j))){
					cerr<<endl
					    <<"A ["<<i<<", "<<j<<"] = "<<(*(A + i*K + j))
					    <<" ; Abis ["<<i<<", "<<j<<"] = "<<(*(Abis + i*K + j));
					keepon = false;
				}
		if (keepon) {
			cout<<" Passed "
			    <<double(M*N)/1000000.0*double(K)/tim.usertime()<<" Mfops"<<endl;

			FFLAS::fflas_delete( B);
			FFLAS::fflas_delete( Bbis);
			FFLAS::fflas_delete( A);
			FFLAS::fflas_delete( Abis);
		} else {

			cerr<<endl;
			FFLAS::WriteMatrix (cerr<<"A = "<<endl, F,  K, K, Abis, K);
			FFLAS::WriteMatrix (cerr<<"B = "<<endl, F,  M, N, Bbis, N);
		}
	}

	cout<<endl;
	cerr<<"FAILED with p = "<<(size_t)p
	    <<" M = "<<M
	    <<" N = "<<N
	    <<" alpha = "<<alpha
	    <<((side==FFLAS::FflasLeft)?" Left ":" Right ")
	    <<((uplo==FFLAS::FflasLower)?" Lower ":" Upper ")
	    <<((trans==FFLAS::FflasTrans)?" Trans ":" NoTrans ")
	    <<((diag==FFLAS::FflasUnit)?" Unit ":" NonUnit ")
	    <<endl;

	cerr<<"A:"<<endl;
	cerr<<K<<" "<<K<<" M"<<endl;
	for (size_t i=0; i<K; ++i)
		for (size_t j=0; j<K; ++j)
			if ((*(Abis + i*lda + j)))
				cerr<<i+1<<" "<<j+1<<" "
				    <<((int) *(Abis+i*lda+j) )
				    <<endl;
	cerr<<"0 0 0"<<endl<<endl;

	cerr<<"B:"<<endl;
	cerr<<M<<" "<<N<<" M"<<endl;
	for (size_t i=0; i<M; ++i)
		for (size_t j=0; j<N; ++j)
			if ((*(Bbis + i*ldb + j)))
				cerr<<i+1<<" "<<j+1<<" "
				    <<((int) *(Bbis+i*ldb+j) )
				    <<endl;
	cerr<<"0 0 0"<<endl<<endl;

	FFLAS::fflas_delete( A);
	FFLAS::fflas_delete( Abis);
	FFLAS::fflas_delete( B);
	FFLAS::fflas_delete( Bbis);
}