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/*
Copyright 2015 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"
// compute flow numerically, no exponentials
// inputs: flow_equation
// init, niter, tol (the allowed error at each step), ls (whether to display the results in terms of ls), display_mode (what to print)
int numerical_flow(Grouped_Polynomial flow_equation, RCC init, Labels labels, int niter, long double tol, int display_mode){
// running coupling contants
RCC rccs=init;
int i,j;
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
printf("%5d ",0);
for(j=0;j<rccs.length;j++){
printf("% 14.7Le ",rccs.values[j]);
}
printf("\n");
}
for(i=0;i<niter;i++){
// compute a single step
step_flow(&rccs, flow_equation, tol);
// convert ls to alphas
if(display_mode==DISPLAY_NUMERICAL){
// print the result
printf("%5d ",i+1);
for(j=0;j<rccs.length;j++){
printf("% 14.7Le ",rccs.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){
RCC_print(rccs);
}
return(0);
}
// single step in the flow no exponentials
// inputs: flow_equation, tol
// input/outputs: rccs
int step_flow(RCC* rccs, Grouped_Polynomial flow_equation, long double tol){
int i;
long double* new_rccs=calloc((*rccs).length,sizeof(long double));
Int_Array computed;
init_Int_Array(&computed, (*rccs).length);
// 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);
// if the new rcc is too small, then ignore it
if(fabs(new_rccs[i])<tol){
new_rccs[i]=0.;
}
(*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);
// if the new rcc is too small, then ignore it
if(fabs(new_rccs[i])<tol){
new_rccs[i]=0.;
}
}
}
// copy results to rccs
for(i=0;i<(*rccs).length;i++){
(*rccs).values[i]=new_rccs[i];
}
// free memory
free_Int_Array(computed);
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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