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rdft.cpp
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rdft.cpp
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#include "rdft.h"
#include "lib.h"
#include "matlib.h"
#include "gen.h"
#include <random>
#include <vector>
int for_perm[MATRIX_SIZE];
int init_for_perm_flg = 0;
void dft_matrix_complex_double(std::complex<double> f[MATRIX_SIZE][MATRIX_SIZE]){
int i, j;
double nn = MATRIX_SIZE;
for(i=0; i<MATRIX_SIZE; i++){
for(j=0; j<MATRIX_SIZE; j++){
f[i][j] = std::complex<double>(cosq(-2.0*M_PI*i*j/nn), sin(-2.0*M_PI*i*j/nn));
}
}
}
void dft_matrix_complex_128(__complex128 f[MATRIX_SIZE][MATRIX_SIZE]){
int i, j;
__float128 nn = MATRIX_SIZE;
for(i=0; i<MATRIX_SIZE; i++){
for(j=0; j<MATRIX_SIZE; j++){
__float128 ii = i;
__float128 jj = j;
COMPLEX_ASSIGN(f[i][j], cosq(-2.0Q*M_PIq*ii*jj/nn), sinq(-2.0Q*M_PIq*ii*jj/nn));
}
}
}
void dht_matrix(__float128 f[MATRIX_SIZE][MATRIX_SIZE]){
int i, j;
__float128 nn = MATRIX_SIZE;
for(i=0; i<MATRIX_SIZE; i++){
for(j=0; j<MATRIX_SIZE; j++){
__float128 ii = i;
__float128 jj = j;
f[i][j] = cosq(2.0Q*M_PIq*ii*jj/nn) + sinq(2.0Q*M_PIq*ii*jj/nn);
}
}
}
void gauss_matrix_double(double f[MATRIX_SIZE][MATRIX_SIZE]){
int i,j;
for(i=0; i<MATRIX_SIZE; i++){
for(j=0; j<MATRIX_SIZE; j++){
f[i][j] = rand_normal_double(0.0, 1.0);
}
}
}
void gauss_matrix_float128(__float128 f[MATRIX_SIZE][MATRIX_SIZE]){
int i, j;
for(i=0; i<MATRIX_SIZE; i++){
for(j=0; j<MATRIX_SIZE; j++){
f[i][j] = rand_normal_float_128(0.0Q, 1.0Q);
}
}
}
void r_matrix_complex_double(std::complex<double> r[MATRIX_SIZE][MATRIX_SIZE]){
int i;
double nn = MATRIX_SIZE;
for(i=0; i<MATRIX_SIZE; i++){
double rval = uniform()*M_PI;
if(rval < 0.0)
rval = -rval;
r[i][i] = std::complex<double>( cos(-2.0*M_PI*rval/nn), sin(-2.0*M_PI*rval/nn) );
}
}
void r_matrix_complex_128(__complex128 r[MATRIX_SIZE][MATRIX_SIZE]){
int i;
__float128 nn = MATRIX_SIZE;
for(i=0; i<MATRIX_SIZE; i++){
__float128 rval = random_float_128(M_PIq);
if(rval < 0.0Q)
rval = -rval;
COMPLEX_ASSIGN(r[i][i], cosq(-2.0Q*M_PIq*rval/nn), sinq(-2.0Q*M_PIq*rval/nn));
}
}
void init_for_perm(){
int i;
for(i=0; i<MATRIX_SIZE; i++){
for_perm[i] = i;
}
init_for_perm_flg = 1;
}
void perm_matrix_double(double r[MATRIX_SIZE][MATRIX_SIZE]){
int i,j;
std::random_device rd;
std::mt19937 mt(rd());
if(! init_for_perm_flg){
init_for_perm();
}
for(i=0; i<MATRIX_SIZE; i++){
for(j=0; j<MATRIX_SIZE; j++){
r[i][j] = 0;
}
}
std::vector<int> perm(for_perm,for_perm+MATRIX_SIZE);
for(i=0; i<MATRIX_SIZE; i++){
int idx = mt() % (MATRIX_SIZE - i);
r[i][perm[idx]] = 1.0;
perm.erase(perm.begin()+idx);
}
}
void r_perm_matrix_complex_double(std::complex<double> r[MATRIX_SIZE][MATRIX_SIZE]){
int i,j;
double nn = MATRIX_SIZE;
std::random_device rd;
std::mt19937 mt(rd());
if(! init_for_perm_flg){
init_for_perm();
}
for(i=0; i<MATRIX_SIZE; i++){
for(j=0; j<MATRIX_SIZE; j++){
r[i][j] = std::complex<double>(0,0);
}
}
std::vector<int> perm(for_perm,for_perm+MATRIX_SIZE);
for(i=0; i<MATRIX_SIZE; i++){
double rval = uniform()*M_PI;
int idx = mt() % (MATRIX_SIZE - i);
if(rval < 0.0)
rval = -rval;
r[i][perm[idx]] = std::complex<double>( cos(-2.0*M_PI*rval/nn), sin(-2.0*M_PI*rval/nn) );
perm.erase(perm.begin()+idx);
}
}
void r_perm_matrix_complex_128(__complex128 r[MATRIX_SIZE][MATRIX_SIZE]){
int i,j;
__float128 nn = MATRIX_SIZE;
std::random_device rd;
std::mt19937 mt(rd());
if(! init_for_perm_flg){
init_for_perm();
}
for(i=0; i<MATRIX_SIZE; i++){
for(j=0; j<MATRIX_SIZE; j++){
COMPLEX_ASSIGN(r[i][j], 0.0Q, 0.0Q);
}
}
std::vector<int> perm(for_perm,for_perm+MATRIX_SIZE);
for(i=0; i<MATRIX_SIZE; i++){
__float128 rval = random_float_128(M_PIq);
int idx = mt() % (MATRIX_SIZE - i);
if(rval < 0.0Q)
rval = -rval;
COMPLEX_ASSIGN(r[i][perm[idx]], cosq(-2.0Q*M_PIq*rval/nn), sinq(-2.0Q*M_PIq*rval/nn));
perm.erase(perm.begin()+idx);
}
}
void r_real_matrix(__float128 r[MATRIX_SIZE][MATRIX_SIZE]){
int i;
for(i=0; i<MATRIX_SIZE; i++){
r[i][i] = 1.0Q;
}
}