Merge branch 'milestone_5' of github.com:medios-porosos-fiuba/simulacion-permeabilidad into milestone_5
chortas
3 years ago
commit
68321584e4
File diff suppressed because one or more lines are too long
@ -1,36 +0,0 @@
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#ifndef _CHUNKARRAY_H
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#define _CHUNKARRAY_H
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#include <stdarg.h>
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#include <stddef.h>
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#include <stdio.h>
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#include <string.h>
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#include <stdbool.h>
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#define MAX_CHUNK_SIZE 1500
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typedef struct chunk_array {
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size_t init_pos;
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size_t chunk_size;
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size_t total_size;
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FILE* fp;
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double* data;
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}chunk_array_t;
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chunk_array_t* chunk_array_create(char* filename, size_t total_size, size_t chunk_size);
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void chunk_array_read(chunk_array_t* chunk_array);
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//void chunk_array_write(chunk_array_t* chunk_array, char* filename);
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void chunk_array_free(chunk_array_t* chunk_array);
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bool chunk_array_get(chunk_array_t* chunk_array, size_t pos, double *value_ptr);
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bool chunk_array_save(chunk_array_t* chunk_array, size_t pos, double valor);
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void chunk_array_flush(chunk_array_t* chunk_array);
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size_t chunk_array_size(chunk_array_t* chunk_array);
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#endif
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@ -0,0 +1,30 @@
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#ifndef _CHUNKARRAY_H
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#define _CHUNKARRAY_H
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#include <stdarg.h>
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#include <stddef.h>
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#include <stdio.h>
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#include <string.h>
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#include <stdbool.h>
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typedef struct file_array {
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size_t init_pos;
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size_t total_size;
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FILE* fp;
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}file_array_t;
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file_array_t* file_array_create(char* filename, size_t total_size);
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void file_array_read(file_array_t* file_array);
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void file_array_free(file_array_t* file_array);
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bool file_array_get(file_array_t* file_array, size_t pos, double *value_ptr);
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bool file_array_save(file_array_t* file_array, size_t pos, double valor);
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void file_array_flush(file_array_t* file_array);
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size_t file_array_size(file_array_t* file_array);
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#endif
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@ -1,92 +0,0 @@
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#include "chunk_array.h"
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#include "stdbool.h"
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void chunk_array_free(chunk_array_t* chunk_array) {
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fclose(chunk_array->fp);
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free(chunk_array->data);
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free(chunk_array);
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}
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bool chunk_array_update_read(chunk_array_t* chunk_array, size_t pos) {
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int init_pos = pos/chunk_array->chunk_size;
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fseek(chunk_array->fp, init_pos * chunk_array->chunk_size * sizeof(double), SEEK_SET);
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size_t newLen = fread(chunk_array->data, sizeof(double), chunk_array->chunk_size, chunk_array->fp);
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chunk_array->init_pos += newLen;
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}
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/*
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bool chunk_array_get(chunk_array_t* chunk_array, size_t pos, double *valor) {
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if (pos>((chunk_array->init_pos + chunk_array->chunk_size)-1)) {
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chunk_array_update_read(chunk_array, pos);
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}
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*valor=chunk_array->data[pos%chunk_array->chunk_size];
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return true;
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}
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bool chunk_array_save(chunk_array_t* chunk_array, size_t pos, double valor) {
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if (pos>((chunk_array->init_pos + chunk_array->chunk_size)-1)) {
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chunk_array_flush(chunk_array);
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}
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chunk_array->data[pos%chunk_array->chunk_size]=valor;
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return true;
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}
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*/
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chunk_array_t* chunk_array_create(char* filename, size_t total_size, size_t chunk_size) {
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chunk_array_t* chunk_array = (chunk_array_t*)malloc(sizeof(chunk_array_t));
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chunk_array->fp = fopen(filename, "w+");
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if (chunk_array == NULL || chunk_array->fp == NULL) {
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return NULL;
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}
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chunk_array->data = malloc(chunk_size * sizeof(double));
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if (chunk_size > 0 && chunk_array->data == NULL) {
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free(chunk_array);
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return NULL;
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}
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chunk_array->init_pos = 0;
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chunk_array->chunk_size = chunk_size;
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chunk_array->total_size = total_size;
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return chunk_array;
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}
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void chunk_array_read(chunk_array_t* chunk_array) {
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rewind(chunk_array->fp);
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chunk_array->init_pos = 0;
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size_t newLen = fread(chunk_array->data, sizeof(double), chunk_array->chunk_size, chunk_array->fp);
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}
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/*
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void chunk_array_write(chunk_array_t* chunk_array, char* filename) {
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chunk_array->fp = fopen(filename, "w");
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if (chunk_array->fp == NULL) {
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fclose(chunk_array->fp);
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chunk_array->fp = fopen(filename, "w");
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}
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chunk_array->init_pos = 0;
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}*/
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void chunk_array_flush(chunk_array_t* chunk_array) {
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size_t newLen = fwrite(chunk_array->data, sizeof(double), chunk_array->chunk_size, chunk_array->fp);
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chunk_array->init_pos += newLen;
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}
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bool chunk_array_get(chunk_array_t* chunk_array, size_t pos, double *valor) {
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fseek(chunk_array->fp, pos * sizeof(double), SEEK_SET);
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fread(valor, sizeof(double), 1, chunk_array->fp);
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return true;
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}
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bool chunk_array_save(chunk_array_t* chunk_array, size_t pos, double valor) {
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fseek(chunk_array->fp, pos * sizeof(double), SEEK_SET);
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fwrite(&valor, sizeof(double), 1, chunk_array->fp);
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return true;
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}
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@ -0,0 +1,38 @@
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#include "file_array.h"
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#include "stdbool.h"
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void file_array_free(file_array_t* file_array) {
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fclose(file_array->fp);
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free(file_array);
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}
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file_array_t* file_array_create(char* filename, size_t total_size) {
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file_array_t* file_array = (file_array_t*)malloc(sizeof(file_array_t));
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file_array->fp = fopen(filename, "w+");
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if (file_array == NULL || file_array->fp == NULL) {
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return NULL;
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}
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file_array->init_pos = 0;
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file_array->total_size = total_size;
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return file_array;
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}
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void file_array_read(file_array_t* file_array) {
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rewind(file_array->fp);
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file_array->init_pos = 0;
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}
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bool file_array_get(file_array_t* file_array, size_t pos, double *valor) {
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fseek(file_array->fp, pos * sizeof(double), SEEK_SET);
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fread(valor, sizeof(double), 1, file_array->fp);
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return true;
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}
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bool file_array_save(file_array_t* file_array, size_t pos, double valor) {
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fseek(file_array->fp, pos * sizeof(double), SEEK_SET);
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fwrite(&valor, sizeof(double), 1, file_array->fp);
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return true;
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}
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@ -1,645 +0,0 @@
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#include <math.h>
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#include <stdio.h>
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#include <time.h>
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#include "chunk_array.h"
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/*fast fourier transform */
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/* THE COOLEY-TUKEY FAST FOURIER TRANSFORM */
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/* EVALUATES COMPLEX FOURIER SERIES FOR COMPLEX OR REAL FUNCTIONS. */
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/* THAT IS, IT COMPUTES */
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/* FTRAN(J1,J2,...)=SUM(DATA(I1,I2,...)*W1**(I1-1)*(J1-1) */
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/* *W2**(I2-1)*(J2-1)*...), */
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/* WHERE W1=EXP(-2*PI*SQRT(-1)/NN(1)), W2=EXP(-2*PI*SQRT(-1)/NN(2)), */
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/* ETC. AND I1 AND J1 RUN FROM 1 TO NN(1), I2 AND J2 RUN FROM 1 TO */
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/* NN(2), ETC. THERE IS NO LIMIT ON THE DIMENSIONALITY (NUMBER OF */
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/* SUBSCRIPTS) OF THE ARRAY OF DATA. THE PROGRAM WILL PERFORM */
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/* A THREE-DIMENSIONAL FOURIER TRANSFORM AS EASILY AS A ONE-DIMEN- */
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/* SIONAL ONE, THO IN A PROPORTIONATELY GREATER TIME. AN INVERSE */
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/* TRANSFORM CAN BE PERFORMED, IN WHICH THE SIGN IN THE EXPONENTIALS */
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/* IS +, INSTEAD OF -. IF AN INVERSE TRANSFORM IS PERFORMED UPON */
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/* AN ARRAY OF TRANSFORMED DATA, THE ORIGINAL DATA WILL REAPPEAR, */
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/* MULTIPLIED BY NN(1)*NN(2)*... THE ARRAY OF INPUT DATA MAY BE */
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/* REAL OR COMPLEX, AT THE PROGRAMMERS OPTION, WITH A SAVING OF */
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/* ABOUT THIRTY PER CENT IN RUNNING TIME FOR REAL OVER COMPLEX. */
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/* (FOR FASTEST TRANSFORM OF REAL DATA, NN(1) SHOULD BE EVEN.) */
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/* THE TRANSFORM VALUES ARE ALWAYS COMPLEX, AND ARE RETURNED IN THE */
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/* ORIGINAL ARRAY OF DATA, REPLACING THE INPUT DATA. THE LENGTH */
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/* OF EACH DIMENSION OF THE DATA ARRAY MAY BE ANY INTEGER. THE */
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/* PROGRAM RUNS FASTER ON COMPOSITE INTEGERS THAN ON PRIMES, AND IS */
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/* PARTICULARLY FAST ON NUMBERS RICH IN FACTORS OF TWO. */
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/* TIMING IS IN FACT GIVEN BY THE FOLLOWING FORMULA. LET NTOT BE THE */
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/* TOTAL NUMBER OF POINTS (REAL OR COMPLEX) IN THE DATA ARRAY, THAT */
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/* IS, NTOT=NN(1)*NN(2)*... DECOMPOSE NTOT INTO ITS PRIME FACTORS, */
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/* SUCH AS 2**K2 * 3**K3 * 5**K5 * ... LET SUM2 BE THE SUM OF ALL */
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/* THE FACTORS OF TWO IN NTOT, THAT IS, SUM2 = 2*K2. LET SUMF BE */
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/* THE SUM OF ALL OTHER FACTORS OF NTOT, THAT IS, SUMF = 3*K3+5*K5+.. */
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/* THE TIME TAKEN BY A MULTIDIMENSIONAL TRANSFORM ON THESE NTOT DATA */
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/* IS T = T0 + T1*NTOT + T2*NTOT*SUM2 + T3*NTOT*SUMF. FOR THE PAR- */
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/* TICULAR IMPLEMENTATION FORTRAN 32 ON THE CDC 3300 (FLOATING POINT */
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/* ADD TIME = SIX MICROSECONDS), */
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/* T = 3000 + 600*NTOT + 50*NTOT*SUM2 + 175*NTOT*SUMF MICROSECONDS */
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/* ON COMPLEX DATA. */
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/* IMPLEMENTATION OF THE DEFINITION BY SUMMATION WILL RUN IN A TIME */
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/* PROPORTIONAL TO NTOT**2. FOR HIGHLY COMPOSITE NTOT, THE SAVINGS */
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/* OFFERED BY COOLEY-TUKEY CAN BE DRAMATIC. A MATRIX 100 BY 100 WILL */
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/* BE TRANSFORMED IN TIME PROPORTIONAL TO 10000*(2+2+2+2+5+5+5+5) = */
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/* 280,000 (ASSUMING T2 AND T3 TO BE ROUGHLY COMPARABLE) VERSUS */
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/* 10000**2 = 100,000,000 FOR THE STRAIGHTFORWARD TECHNIQUE. */
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/* THE COOLEY-TUKEY ALGORITHM PLACES TWO RESTRICTIONS UPON THE */
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/* NATURE OF THE DATA BEYOND THE USUAL RESTRICTION THAT */
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/* THE DATA FROM ONE CYCLE OF A PERIODIC FUNCTION. THEY ARE-- */
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/* 1. THE NUMBER OF INPUT DATA AND THE NUMBER OF TRANSFORM VALUES */
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/* MUST BE THE SAME. */
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/* 2. CONSIDERING THE DATA TO BE IN THE TIME DOMAIN, */
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/* THEY MUST BE EQUI-SPACED AT INTERVALS OF DT. FURTHER, THE TRANS- */
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/* FORM VALUES, CONSIDERED TO BE IN FREQUENCY SPACE, WILL BE EQUI- */
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/* SPACED FROM 0 TO 2*PI*(NN(I)-1)/(NN(I)*DT) AT INTERVALS OF */
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/* 2*PI/(NN(I)*DT) FOR EACH DIMENSION OF LENGTH NN(I). OF COURSE, */
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/* DT NEED NOT BE THE SAME FOR EVERY DIMENSION. */
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/* THE CALLING SEQUENCE IS-- */
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/* CALL FOURT(DATAR,DATAI,NN,NDIM,IFRWD,ICPLX,WORKR,WORKI) */
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/* DATAR AND DATAI ARE THE ARRAYS USED TO HOLD THE REAL AND IMAGINARY */
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/* PARTS OF THE INPUT DATA ON INPUT AND THE TRANSFORM VALUES ON */
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/* OUTPUT. THEY ARE FLOATING POINT ARRAYS, MULTIDIMENSIONAL WITH */
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/* IDENTICAL DIMENSIONALITY AND EXTENT. THE EXTENT OF EACH DIMENSION */
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/* IS GIVEN IN THE INTEGER ARRAY NN, OF LENGTH NDIM. THAT IS, */
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/* NDIM IS THE DIMENSIONALITY OF THE ARRAYS DATAR AND DATAI. */
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/* IFRWD IS AN INTEGER USED TO INDICATE THE DIRECTION OF THE FOURIER */
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/* TRANSFORM. IT IS NON-ZERO TO INDICATE A FORWARD TRANSFORM */
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/* (EXPONENTIAL SIGN IS -) AND ZERO TO INDICATE AN INVERSE TRANSFORM */
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/* (SIGN IS +). ICPLX IS AN INTEGER TO INDICATE WHETHER THE DATA */
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/* ARE REAL OR COMPLEX. IT IS NON-ZERO FOR COMPLEX, ZERO FOR REAL. */
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/* IF IT IS ZERO (REAL) THE CONTENTS OF ARRAY DATAI WILL BE ASSUMED */
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/* TO BE ZERO, AND NEED NOT BE EXPLICITLY SET TO ZERO. AS EXPLAINED */
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/* ABOVE, THE TRANSFORM RESULTS ARE ALWAYS COMPLEX AND ARE STORED */
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/* IN DATAR AND DATAI ON RETURN. WORKR AND WORKI ARE ARRAYS USED */
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/* FOR WORKING STORAGE. THEY ARE NOT NECESSARY IF ALL THE DIMENSIONS */
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/* OF THE DATA ARE POWERS OF TWO. IN THIS CASE, THE ARRAYS MAY BE */
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/* REPLACED BY THE NUMBER 0 IN THE CALLING SEQUENCE. THUS, USE OF */
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/* POWERS OF TWO CAN FREE A GOOD DEAL OF STORAGE. IF ANY DIMENSION */
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/* IS NOT A POWER OF TWO, THESE ARRAYS MUST BE SUPPLIED. THEY ARE */
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/* FLOATING POINT, ONE DIMENSIONAL OF LENGTH EQUAL TO THE LARGEST */
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/* ARRAY DIMENSION, THAT IS, TO THE LARGEST VALUE OF NN(I). */
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/* WORKR AND WORKI, IF SUPPLIED, MUST NOT BE THE SAME ARRAYS AS DATAR */
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/* OR DATAI. ALL SUBSCRIPTS OF ALL ARRAYS BEGIN AT 1. */
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/* THERE ARE NO ERROR MESSAGES OR ERROR HALTS IN THIS PROGRAM. THE */
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/* PROGRAM RETURNS IMMEDIATELY IF NDIM OR ANY NN(I) IS LESS THAN ONE. */
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/* PROGRAM MODIFIED FROM A SUBROUTINE OF BRENNER */
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/* 10-06-2000, MLR */
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void fourt_covar(chunk_array_t* datar, double* datai, int nn[3], int ndim, int ifrwd, int icplx, double* workr, double* worki, int cores) {
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int ifact[21], ntot, idim, np1, n, np2, m, ntwo, iff, idiv, iquot, irem, inon2, non2p, np0, nprev, icase, ifmin, i, j, jmax, np2hf, i2, i1max, i3, j3, i1, ifp1, ifp2, i2max, i1rng, istep, imin, imax, mmax, mmin, mstep, j1, j2max, j2, jmin, j3max, nhalf;
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double theta, wstpr, wstpi, wminr, wmini, wr, wi, wtemp, thetm, wmstr, wmsti, twowr, sr, si, oldsr, oldsi, stmpr, stmpi, tempr, tempi, difi, difr, sumr, sumi, TWOPI = 6.283185307179586476925286766559;
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double value1, valuei, valuej, valuei1, valueimin, valuei3, valuej3;
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ntot = 1;
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for (idim = 0; idim < ndim; idim++) {
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ntot *= nn[idim];
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}
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chunk_array_read(datar);
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/*main loop for each dimension*/
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np1 = 1;
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||||
for (idim = 1; idim <= ndim; idim++) {
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n = nn[idim - 1];
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np2 = np1 * n;
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if (n < 1) {
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goto L920;
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} else if (n == 1) {
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goto L900;
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}
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||||
/*is n a power of 2 and if not, what are its factors*/
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||||
m = n;
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ntwo = np1;
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iff = 1;
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idiv = 2;
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L10:
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iquot = m / idiv;
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irem = m - idiv * iquot;
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if (iquot < idiv)
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goto L50;
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if (irem == 0) {
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ntwo *= 2;
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ifact[iff] = idiv;
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iff++;
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m = iquot;
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goto L10;
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}
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idiv = 3;
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inon2 = iff;
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||||
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||||
L30:
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||||
iquot = m / idiv;
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||||
irem = m - idiv * iquot;
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||||
if (iquot < idiv)
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||||
goto L60;
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||||
if (irem == 0) {
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||||
ifact[iff] = idiv;
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iff++;
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m = iquot;
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goto L30;
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}
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idiv += 2;
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goto L30;
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L50:
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||||
inon2 = iff;
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if (irem != 0)
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goto L60;
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ntwo *= 2;
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goto L70;
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L60:
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ifact[iff] = m;
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L70:
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non2p = np2 / ntwo;
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/*SEPARATE FOUR CASES--
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1. COMPLEX TRANSFORM
|
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2. REAL TRANSFORM FOR THE 2ND, 3RD, ETC. DIMENSION. METHOD: TRANSFORM HALF THE DATA, SUPPLYING THE OTHER HALF BY CONJUGATE SYMMETRY.
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||||
3. REAL TRANSFORM FOR THE 1ST DIMENSION, N ODD. METHOD: SET THE IMAGINARY PARTS TO ZERO.
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||||
4. REAL TRANSFORM FOR THE 1ST DIMENSION, N EVEN. METHOD: TRANSFORM A COMPLEX ARRAY OF LENGTH N/2 WHOSE REAL PARTS ARE THE EVEN NUMBERED REAL VALUES AND WHOSE IMAGINARY PARTS ARE THE ODD-NUMBERED REAL VALUES. UNSCRAMBLE AND SUPPLY THE SECOND HALF BY CONJUGATE SYMMETRY. */
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||||
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||||
icase = 1;
|
||||
ifmin = 1;
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if (icplx != 0)
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goto L100;
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icase = 2;
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if (idim > 1)
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||||
goto L100;
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||||
icase = 3;
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||||
if (ntwo <= np1)
|
||||
goto L100;
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||||
icase = 4;
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||||
ifmin = 2;
|
||||
ntwo /= 2;
|
||||
n /= 2;
|
||||
np2 /= 2;
|
||||
ntot /= 2;
|
||||
i = 1;
|
||||
for (j = 1; j <= ntot; j++) {
|
||||
chunk_array_get(datar, i, &valuei);
|
||||
chunk_array_get(datar, i, &valuei1);
|
||||
chunk_array_save(datar, j, valuei);
|
||||
|
||||
//datar[j] = datar[i];
|
||||
datai[j] = valuei1;
|
||||
i += 2;
|
||||
}
|
||||
|
||||
/*shuffle data by bit reversal, since n = 2^k. As the shuffling can be done by simple interchange, no working array is needed*/
|
||||
L100:
|
||||
if (non2p > 1)
|
||||
goto L200;
|
||||
np2hf = np2 / 2;
|
||||
j = 1;
|
||||
for (i2 = 1; i2 <= np2; i2 += np1) {
|
||||
if (j >= i2)
|
||||
goto L130;
|
||||
i1max = i2 + np1 - 1;
|
||||
for (i1 = i2; i1 <= i1max; i1++) {
|
||||
for (i3 = i1; i3 <= ntot; i3 += np2) {
|
||||
j3 = j + i3 - i2;
|
||||
//tempr = datar[i3];
|
||||
tempi = datai[i3];
|
||||
//datar[i3] = datar[j3];
|
||||
datai[i3] = datai[j3];
|
||||
//datar[j3] = tempr;
|
||||
datai[j3] = tempi;
|
||||
|
||||
chunk_array_get(datar, i3, &valuei3);
|
||||
chunk_array_get(datar, j3, &valuej3);
|
||||
chunk_array_save(datar, i3, valuej3);
|
||||
chunk_array_save(datar, j3, valuei3);
|
||||
}
|
||||
}
|
||||
|
||||
L130:
|
||||
m = np2hf;
|
||||
|
||||
L140:
|
||||
if (j <= m) {
|
||||
j += m;
|
||||
} else {
|
||||
j -= m;
|
||||
m /= 2;
|
||||
if (m >= np1)
|
||||
goto L140;
|
||||
}
|
||||
}
|
||||
goto L300;
|
||||
|
||||
/*shuffle data by digit reversal for general n*/
|
||||
L200:
|
||||
for (i1 = 1; i1 <= np1; i1++) {
|
||||
for (i3 = i1; i3 <= ntot; i3 += np2) {
|
||||
j = i3;
|
||||
for (i = 1; i <= n; i++) {
|
||||
if (icase != 3) {
|
||||
//workr[i] = datar[j];
|
||||
chunk_array_get(datar, j, &workr[i]);
|
||||
worki[i] = datai[j];
|
||||
} else {
|
||||
chunk_array_get(datar, j, &workr[i]);
|
||||
//workr[i] = datar[j];
|
||||
worki[i] = 0.;
|
||||
}
|
||||
ifp2 = np2;
|
||||
iff = ifmin;
|
||||
L250:
|
||||
ifp1 = ifp2 / ifact[iff];
|
||||
j += ifp1;
|
||||
if (j >= i3 + ifp2) {
|
||||
j -= ifp2;
|
||||
ifp2 = ifp1;
|
||||
iff += 1;
|
||||
if (ifp2 > np1)
|
||||
goto L250;
|
||||
}
|
||||
}
|
||||
i2max = i3 + np2 - np1;
|
||||
i = 1;
|
||||
for (i2 = i3; i2 <= i2max; i2 += np1) {
|
||||
chunk_array_save(datar, i2, workr[i]);
|
||||
//datar[i2] = workr[i];
|
||||
datai[i2] = worki[i];
|
||||
i++;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/*special case-- W=1*/
|
||||
L300:
|
||||
i1rng = np1;
|
||||
if (icase == 2)
|
||||
i1rng = np0 * (1 + nprev / 2);
|
||||
if (ntwo <= np1)
|
||||
goto L600;
|
||||
for (i1 = 1; i1 <= i1rng; i1++) {
|
||||
imin = np1 + i1;
|
||||
istep = 2 * np1;
|
||||
goto L330;
|
||||
|
||||
L310:
|
||||
j = i1;
|
||||
for (i = imin; i <= ntot; i += istep) {
|
||||
//tempr = datar[i];
|
||||
tempi = datai[i];
|
||||
//datar[i] = datar[j] - tempr;
|
||||
datai[i] = datai[j] - tempi;
|
||||
//datar[j] = datar[j] + tempr;
|
||||
datai[j] = datai[j] + tempi;
|
||||
|
||||
chunk_array_get(datar, i, &valuei);
|
||||
chunk_array_get(datar, j, &valuej);
|
||||
|
||||
chunk_array_save(datar, i, valuej - valuei);
|
||||
chunk_array_save(datar, j, valuej + valuei);
|
||||
|
||||
j += istep;
|
||||
}
|
||||
imin = 2 * imin - i1;
|
||||
istep *= 2;
|
||||
|
||||
L330:
|
||||
if (istep <= ntwo)
|
||||
goto L310;
|
||||
|
||||
/*special case-- W = -sqrt(-1)*/
|
||||
imin = 3 * np1 + i1;
|
||||
istep = 4 * np1;
|
||||
goto L420;
|
||||
|
||||
L400:
|
||||
j = imin - istep / 2;
|
||||
for (i = imin; i <= ntot; i += istep) {
|
||||
if (ifrwd != 0) {
|
||||
tempr = datai[i];
|
||||
//tempi = -datar[i];
|
||||
chunk_array_get(datar, i, &tempi);
|
||||
tempi = -tempi;
|
||||
} else {
|
||||
tempr = -datai[i];
|
||||
//tempi = datar[i];
|
||||
chunk_array_get(datar, i, &tempi);
|
||||
}
|
||||
|
||||
chunk_array_get(datar, j, &valuej);
|
||||
chunk_array_save(datar, i, valuej - tempr);
|
||||
chunk_array_save(datar, j, valuej - tempr);
|
||||
|
||||
//datar[i] = datar[j] - tempr;
|
||||
datai[i] = datai[j] - tempi;
|
||||
//datar[j] += tempr;
|
||||
datai[j] += tempi;
|
||||
j += istep;
|
||||
}
|
||||
|
||||
imin = 2 * imin - i1;
|
||||
istep *= 2;
|
||||
|
||||
L420:
|
||||
if (istep <= ntwo)
|
||||
goto L400;
|
||||
}
|
||||
|
||||
/*main loop for factors of 2. W=EXP(-2*PI*SQRT(-1)*m/mmax) */
|
||||
theta = -TWOPI / 8.;
|
||||
wstpr = 0.;
|
||||
wstpi = -1.;
|
||||
if (ifrwd == 0) {
|
||||
theta = -theta;
|
||||
wstpi = 1.;
|
||||
}
|
||||
mmax = 8 * np1;
|
||||
goto L540;
|
||||
|
||||
L500:
|
||||
wminr = cos(theta);
|
||||
wmini = sin(theta);
|
||||
wr = wminr;
|
||||
wi = wmini;
|
||||
mmin = mmax / 2 + np1;
|
||||
mstep = np1 * 2;
|
||||
for (m = mmin; m <= mmax; m += mstep) {
|
||||
for (i1 = 1; i1 <= i1rng; i1++) {
|
||||
istep = mmax;
|
||||
imin = m + i1;
|
||||
L510:
|
||||
j = imin - istep / 2;
|
||||
for (i = imin; i <= ntot; i += istep) {
|
||||
double valuei, valuej;
|
||||
chunk_array_get(datar, i, &valuei);
|
||||
chunk_array_get(datar, j, &valuej);
|
||||
tempr = valuei * wr - datai[i] * wi;
|
||||
tempi = valuei * wi + datai[i] * wr;
|
||||
chunk_array_save(datar, i, valuej - tempr);
|
||||
//datar[i] = valuej - tempr;
|
||||
datai[i] = datai[j] - tempi;
|
||||
chunk_array_save(datar, i, valuej + tempr);
|
||||
//datar[j] += tempr;
|
||||
datai[j] += tempi;
|
||||
j += istep;
|
||||
}
|
||||
imin = 2 * imin - i1;
|
||||
istep *= 2;
|
||||
if (istep <= ntwo)
|
||||
goto L510;
|
||||
}
|
||||
wtemp = wr * wstpi;
|
||||
wr = wr * wstpr - wi * wstpi;
|
||||
wi = wi * wstpr + wtemp;
|
||||
}
|
||||
wstpr = wminr;
|
||||
wstpi = wmini;
|
||||
theta /= 2.;
|
||||
mmax += mmax;
|
||||
L540:
|
||||
if (mmax <= ntwo)
|
||||
goto L500;
|
||||
|
||||
/*main loop for factors not equal to 2-- W=EXP(-2*PI*SQRT(-1)*(j2-i3)/ifp2)*/
|
||||
L600:
|
||||
if (non2p <= 1)
|
||||
goto L700;
|
||||
ifp1 = ntwo;
|
||||
iff = inon2;
|
||||
L610:
|
||||
ifp2 = ifact[iff] * ifp1;
|
||||
theta = -TWOPI / (double)ifact[iff];
|
||||
if (ifrwd == 0)
|
||||
theta = -theta;
|
||||
thetm = theta / (double)(ifp1 / np1);
|
||||
wstpr = cos(theta);
|
||||
wstpi = sin(theta);
|
||||
wmstr = cos(thetm);
|
||||
wmsti = sin(thetm);
|
||||
wminr = 1.;
|
||||
wmini = 0.;
|
||||
|
||||
for (j1 = 1; j1 <= ifp1; j1 += np1) {
|
||||
i1max = j1 + i1rng - 1;
|
||||
for (i1 = j1; i1 <= i1max; i1++) {
|
||||
for (i3 = i1; i3 <= ntot; i3 += np2) {
|
||||
i = 1;
|
||||
wr = wminr;
|
||||
wi = wmini;
|
||||
j2max = i3 + ifp2 - ifp1;
|
||||
for (j2 = i3; j2 <= j2max; j2 += ifp1) {
|
||||
twowr = 2. * wr;
|
||||
jmin = i3;
|
||||
j3max = j2 + np2 - ifp2;
|
||||
for (j3 = j2; j3 <= j3max; j3 += ifp2) {
|
||||
j = jmin + ifp2 - ifp1;
|
||||
//sr = datar[j];
|
||||
chunk_array_get(datar, j, &sr);
|
||||
si = datai[j];
|
||||
oldsr = 0.;
|
||||
oldsi = 0.;
|
||||
j -= ifp1;
|
||||
L620:
|
||||
stmpr = sr;
|
||||
stmpi = si;
|
||||
chunk_array_get(datar, j, &valuej);
|
||||
sr = twowr * sr - oldsr + valuej;
|
||||
si = twowr * si - oldsi + datai[j];
|
||||
oldsr = stmpr;
|
||||
oldsi = stmpi;
|
||||
j -= ifp1;
|
||||
if (j > jmin)
|
||||
goto L620;
|
||||
workr[i] = wr * sr - wi * si - oldsr + valuej;
|
||||
worki[i] = wi * sr + wr * si - oldsi + datai[j];
|
||||
jmin += ifp2;
|
||||
i++;
|
||||
}
|
||||
wtemp = wr * wstpi;
|
||||
wr = wr * wstpr - wi * wstpi;
|
||||
wi = wi * wstpr + wtemp;
|
||||
}
|
||||
i = 1;
|
||||
for (j2 = i3; j2 <= j2max; j2 += ifp1) {
|
||||
j3max = j2 + np2 - ifp2;
|
||||
for (j3 = j2; j3 <= j3max; j3 += ifp2) {
|
||||
//datar[j3] = workr[i];
|
||||
chunk_array_save(datar, j3, workr[i]);
|
||||
datai[j3] = worki[i];
|
||||
i++;
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
wtemp = wminr * wmsti;
|
||||
wminr = wminr * wmstr - wmini * wmsti;
|
||||
wmini = wmini * wmstr + wtemp;
|
||||
}
|
||||
iff++;
|
||||
ifp1 = ifp2;
|
||||
if (ifp1 < np2)
|
||||
goto L610;
|
||||
|
||||
/*complete a real transform in the 1st dimension, n even, by conjugate symmetries*/
|
||||
L700:
|
||||
switch (icase) {
|
||||
case 1:
|
||||
goto L900;
|
||||
break;
|
||||
case 2:
|
||||
goto L800;
|
||||
break;
|
||||
case 3:
|
||||
goto L900;
|
||||
break;
|
||||
}
|
||||
|
||||
nhalf = n;
|
||||
n += n;
|
||||
theta = -TWOPI / (double)n;
|
||||
if (ifrwd == 0)
|
||||
theta = -theta;
|
||||
wstpr = cos(theta);
|
||||
wstpi = sin(theta);
|
||||
wr = wstpr;
|
||||
wi = wstpi;
|
||||
imin = 2;
|
||||
jmin = nhalf;
|
||||
goto L725;
|
||||
L710:
|
||||
j = jmin;
|
||||
for (i = imin; i <= ntot; i += np2) {
|
||||
double valuei, valuej;
|
||||
chunk_array_get(datar, i, &valuei);
|
||||
chunk_array_get(datar, j, &valuej);
|
||||
sumr = (valuei + valuej) / 2.;
|
||||
sumi = (datai[i] + datai[j]) / 2.;
|
||||
difr = (valuei - valuej) / 2.;
|
||||
difi = (datai[i] - datai[j]) / 2.;
|
||||
tempr = wr * sumi + wi * difr;
|
||||
tempi = wi * sumi - wr * difr;
|
||||
chunk_array_save(datar, i, sumr + tempr);
|
||||
//datar[i] = sumr + tempr;
|
||||
datai[i] = difi + tempi;
|
||||
chunk_array_save(datar, j, sumr - tempr);
|
||||
//datar[j] = sumr - tempr;
|
||||
datai[j] = tempi - difi;
|
||||
j += np2;
|
||||
}
|
||||
imin++;
|
||||
jmin--;
|
||||
wtemp = wr * wstpi;
|
||||
wr = wr * wstpr - wi * wstpi;
|
||||
wi = wi * wstpr + wtemp;
|
||||
L725:
|
||||
if (imin < jmin) {
|
||||
goto L710;
|
||||
} else if (imin > jmin) {
|
||||
goto L740;
|
||||
}
|
||||
if (ifrwd == 0)
|
||||
goto L740;
|
||||
for (i = imin; i <= ntot; i += np2) {
|
||||
datai[i] = -datai[i];
|
||||
}
|
||||
L740:
|
||||
np2 *= 2;
|
||||
ntot *= 2;
|
||||
j = ntot + 1;
|
||||
imax = ntot / 2 + 1;
|
||||
L745:
|
||||
imin = imax - nhalf;
|
||||
i = imin;
|
||||
goto L755;
|
||||
L750:
|
||||
//datar[j] = datar[i];
|
||||
chunk_array_get(datar, i, &valuei);
|
||||
chunk_array_save(datar, j, valuei);
|
||||
datai[j] = -datai[i];
|
||||
L755:
|
||||
i++;
|
||||
j--;
|
||||
if (i < imax)
|
||||
goto L750;
|
||||
|
||||
chunk_array_get(datar, imin, &valueimin);
|
||||
chunk_array_save(datar, j, valueimin - datai[imin]);
|
||||
//datar[j] = datar[imin] - datai[imin];
|
||||
datai[j] = 0.;
|
||||
if (i >= j) {
|
||||
goto L780;
|
||||
} else {
|
||||
goto L770;
|
||||
}
|
||||
L765:
|
||||
//datar[j] = datar[i];
|
||||
chunk_array_get(datar, i, &valuei);
|
||||
chunk_array_save(datar, j, valuei);
|
||||
datai[j] = datai[i];
|
||||
L770:
|
||||
i--;
|
||||
j--;
|
||||
if (i > imin)
|
||||
goto L765;
|
||||
//datar[j] = datar[imin] + datai[imin];
|
||||
chunk_array_get(datar, imin, &valueimin);
|
||||
chunk_array_save(datar, j, valueimin - datai[imin]);
|
||||
datai[j] = 0.;
|
||||
imax = imin;
|
||||
goto L745;
|
||||
L780:
|
||||
chunk_array_get(datar, 1, &value1);
|
||||
chunk_array_save(datar, 1, value1 + datai[1]);
|
||||
//datar[1] += datai[1];
|
||||
datai[1] = 0.;
|
||||
goto L900;
|
||||
|
||||
/*complete a real transform for the 2nd, 3rd, ... dimension by conjugate symmetries*/
|
||||
L800:
|
||||
if (nprev <= 2)
|
||||
goto L900;
|
||||
for (i3 = 1; i3 <= ntot; i3 += np2) {
|
||||
i2max = i3 + np2 - np1;
|
||||
for (i2 = i3; i2 <= i2max; i2 += np1) {
|
||||
imax = i2 + np1 - 1;
|
||||
imin = i2 + i1rng;
|
||||
jmax = 2 * i3 + np1 - imin;
|
||||
if (i2 > i3)
|
||||
jmax += np2;
|
||||
if (idim > 2) {
|
||||
j = jmax + np0;
|
||||
for (i = imin; i <= imax; i++) {
|
||||
//datar[i] = datar[j];
|
||||
chunk_array_get(datar, j, &valuej);
|
||||
chunk_array_save(datar, i, valuej);
|
||||
datai[i] = -datai[j];
|
||||
j--;
|
||||
}
|
||||
}
|
||||
j = jmax;
|
||||
for (i = imin; i <= imax; i += np0) {
|
||||
//datar[i] = datar[j];
|
||||
chunk_array_get(datar, j, &valuej);
|
||||
chunk_array_save(datar, i, valuej);
|
||||
datai[i] = -datai[j];
|
||||
j -= np0;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/*end of loop on each dimension*/
|
||||
L900:
|
||||
np0 = np1;
|
||||
np1 = np2;
|
||||
nprev = n;
|
||||
}
|
||||
L920: return;
|
||||
}
|
||||
@ -1,2 +0,0 @@
|
||||
python3 setup.py install --user
|
||||
ENV=analysis python3 test.py $1 2>&1 | split -l 5000000 - log_$1_generate_improve-
|
||||
Binary file not shown.
Binary file not shown.
Binary file not shown.
Binary file not shown.
@ -0,0 +1,54 @@
|
||||
from FFTMA import gen
|
||||
import numpy as np
|
||||
import unittest
|
||||
import time
|
||||
|
||||
def generate(N):
|
||||
start_time = time.time()
|
||||
nx, ny, nz = N,N,N
|
||||
dx, dy, dz = 1.0, 1.0, 1.0
|
||||
seed= 1548762 #rdi(10000,99999)
|
||||
var=1
|
||||
vario=2
|
||||
alpha=1
|
||||
lcx=2
|
||||
lcy=4
|
||||
lcz=16
|
||||
ap1x=1
|
||||
ap1y=0
|
||||
ap1z=0
|
||||
ap2x=0
|
||||
ap2y=1
|
||||
ap2z=0
|
||||
|
||||
v1 = (var, vario, alpha, lcx, lcy, lcz, ap1x, ap1y, ap1z, ap2x, ap2y, ap2z)
|
||||
variograms = [v1]
|
||||
|
||||
mean=15.3245987
|
||||
variance=3.5682389
|
||||
typ=3
|
||||
|
||||
k = gen(nx, ny, nz, dx, dy, dz, seed, variograms, mean, variance, typ)
|
||||
|
||||
print(f"Generation with N = {N} time = {time.time() - start_time}s")
|
||||
return k
|
||||
|
||||
|
||||
def test(N):
|
||||
k = generate(N)
|
||||
k_correct = np.load(f"out_{N}.npy")
|
||||
comparison = k == k_correct
|
||||
return comparison.all()
|
||||
|
||||
class TestGeneration(unittest.TestCase):
|
||||
def test_8(self):
|
||||
self.assertTrue(test(8))
|
||||
|
||||
def test_16(self):
|
||||
self.assertTrue(test(16))
|
||||
|
||||
def test_32(self):
|
||||
self.assertTrue(test(32))
|
||||
|
||||
def test_64(self):
|
||||
self.assertTrue(test(64))
|
||||
Loading…
Reference in New Issue