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/*
Copyright 2015-2022 Ian Jauslin
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*/
#include "flow.h"
#include <stdio.h>
#include <stdlib.h>
#include "tools.h"
#include "math.h"
#include "definitions.cpp"
#include "number.h"
#include "array.h"
#include "coefficient.h"
#include "rcc.h"
#include "grouped_polynomial.h"
// compute flow numerically, no exponentials
int numerical_flow(Grouped_Polynomial flow_equation, RCC init, Grouped_Polynomial postprocess_flow_equation, Labels labels, int niter, int display_mode){
// running coupling contants
RCC rccs=init;
// for printing
RCC rcc_print;
int i,j;
// init printing rcc
init_RCC(&rcc_print, rccs.length);
if(display_mode==DISPLAY_NUMERICAL){
// print labels
printf("%5s ","n");
for(j=0;j<rccs.length;j++){
print_label(rccs.indices[j], labels);
}
printf("\n\n");
// print initial values
RCC_cpy_noinit(rccs,&rcc_print);
if(postprocess_flow_equation.length>0){
// ignore constants
for(j=0;j<rcc_print.length;j++){
if(rcc_print.indices[j]<0){
rcc_print.values[j]=1.;
}
}
evaleq(rcc_print, rcc_print, postprocess_flow_equation);
}
printf("%5d ",0);
for(j=0;j<rcc_print.length;j++){
// use constants from rcc
if(rcc_print.indices[j]<0){
printf("% 14.7Le ",rccs.values[j]);
}
else{
printf("% 14.7Le ",rcc_print.values[j]);
}
}
printf("\n");
}
for(i=0;i<niter;i++){
// compute a single step
step_flow(&rccs, flow_equation);
// print
if(postprocess_flow_equation.length>0){
RCC_cpy_noinit(rccs,&rcc_print);
// ignore constants
for(j=0;j<rcc_print.length;j++){
if(rcc_print.indices[j]<0){
rcc_print.values[j]=1.;
}
}
evaleq(rcc_print, rcc_print, postprocess_flow_equation);
}
else{
RCC_cpy_noinit(rccs,&rcc_print);
}
if(display_mode==DISPLAY_NUMERICAL){
// print the result
printf("%5d ",i+1);
for(j=0;j<rcc_print.length;j++){
// use constants from rcc
if(rcc_print.indices[j]<0){
printf("% 14.7Le ",rccs.values[j]);
}
else{
printf("% 14.7Le ",rcc_print.values[j]);
}
}
printf("\n");
}
}
if(display_mode==DISPLAY_NUMERICAL){
// print labels
printf("\n");
printf("%5s ","n");
for(j=0;j<rccs.length;j++){
print_label(rccs.indices[j], labels);
}
printf("\n\n");
}
if(display_mode==DISPLAY_FINAL){
if(postprocess_flow_equation.length>0){
RCC_cpy_noinit(rccs,&rcc_print);
// ignore constants
for(j=0;j<rcc_print.length;j++){
if(rcc_print.indices[j]<0){
rcc_print.values[j]=1.;
}
}
evaleq(rcc_print, rcc_print, postprocess_flow_equation);
}
else{
RCC_cpy_noinit(rccs,&rcc_print);
}
RCC_print(rcc_print);
}
free_RCC(rcc_print);
return(0);
}
// single step in the flow no exponentials
int step_flow(RCC* rccs, Grouped_Polynomial flow_equation){
int i;
long double* new_rccs=calloc((*rccs).length,sizeof(long double));
// initialize vectors to 0
for(i=0;i<(*rccs).length;i++){
new_rccs[i]=0.;
}
// compute the constants first
for(i=0;i<flow_equation.length;i++){
if(flow_equation.indices[i]<0){
evalcoef(*rccs, flow_equation.coefs[i], new_rccs+i);
(*rccs).values[i]=new_rccs[i];
}
}
// for each equation
for(i=0;i<flow_equation.length;i++){
if(flow_equation.indices[i]>=0){
evalcoef(*rccs, flow_equation.coefs[i], new_rccs+i);
}
}
// copy results to rccs
for(i=0;i<(*rccs).length;i++){
(*rccs).values[i]=new_rccs[i];
}
// free memory
free(new_rccs);
return(0);
}
// print the label of an rcc (takes constants and derivatives into account)
int print_label(int index, Labels labels){
int i;
int nderivs;
int posin_labels;
Char_Array label;
// constant term
if(index<0){
nderivs=-index/DOFFSET;
for (i=0;i<12-nderivs;i++){
printf(" ");
}
for(i=0;i<nderivs;i++){
printf("d");
}
printf("C%d ",-index-nderivs*DOFFSET);
}
else{
nderivs=index/DOFFSET;
posin_labels=intlist_find_err(labels.indices, labels.length, index-nderivs*DOFFSET);
label=labels.labels[posin_labels];
for (i=0;i<14-label.length-nderivs;i++){
printf(" ");
}
for(i=0;i<nderivs;i++){
printf("d");
}
printf("%s ",char_array_to_str_noinit(labels.labels+posin_labels));
}
return(0);
}
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