From aa0f3ae2988d372b190b9bde2e75a6d17e744e93 Mon Sep 17 00:00:00 2001
From: Ian Jauslin <ian.jauslin@roma1.infn.it>
Date: Sun, 14 Jun 2015 00:52:45 +0000
Subject: Initial commit

---
 src/meantools_deriv.c | 195 ++++++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 195 insertions(+)
 create mode 100644 src/meantools_deriv.c

(limited to 'src/meantools_deriv.c')

diff --git a/src/meantools_deriv.c b/src/meantools_deriv.c
new file mode 100644
index 0000000..28d8641
--- /dev/null
+++ b/src/meantools_deriv.c
@@ -0,0 +1,195 @@
+/*
+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 "meantools_deriv.h"
+
+#include <stdio.h>
+#include <stdlib.h>
+#include "parse_file.h"
+#include "cli_parser.h"
+#include "istring.h"
+#include "definitions.cpp"
+#include "array.h"
+#include "grouped_polynomial.h"
+
+
+#define CP_FLAG_DERIVS 1
+#define CP_FLAG_VARS 2
+// read command line arguments
+int tool_deriv_read_args(int argc, const char* argv[], Str_Array* str_args, Meantools_Options* opts){
+  // file to read the polynomial from in flow mode
+  const char* file="";
+  // whether a file was specified on the command-line
+  int exists_file=0;
+  // flag
+  int flag=0;
+  // buffer in which to read the variables
+  Char_Array buffer;
+  int i;
+  char* ptr;
+
+  // defaults
+  // derive once
+  (*opts).deriv_derivs=1;
+  // derive with respect to all variables
+  (*opts).deriv_vars.length=-1;
+
+
+  // loop over arguments
+  for(i=2;i<argc;i++){
+    // flag
+    if(argv[i][0]=='-'){
+      for(ptr=((char*)argv[i])+1;*ptr!='\0';ptr++){
+	switch(*ptr){
+	// number of derivatives
+	case 'd':
+	  flag=CP_FLAG_DERIVS;
+	  break;
+	case 'V':
+	  flag=CP_FLAG_VARS;
+	  break;
+	}
+      }
+    }
+    // number of derivatives
+    else if(flag==CP_FLAG_DERIVS){
+      sscanf(argv[i],"%d",&((*opts).deriv_derivs));
+      flag=0;
+    }
+    // variables
+    else if(flag==CP_FLAG_VARS){
+      // if the argument is "all" then derive wrt all variables
+      if(str_cmp((char*)argv[i],"all")){
+	(*opts).deriv_vars.length=-2;
+      }
+      else{
+	str_to_char_array((char*)argv[i], &buffer);
+	int_array_read(buffer,&((*opts).deriv_vars));
+	free_Char_Array(buffer);
+      }
+      flag=0;
+    }
+    // read file name from command-line
+    else{
+      file=argv[i];
+      exists_file=1;
+    }
+  }
+
+  read_config_file(str_args, file, 1-exists_file);
+
+  return(0);
+}
+
+
+// derive a flow equation
+int tool_deriv(Str_Array str_args, Meantools_Options opts){
+  // index of the entry in the input file
+  int arg_index;
+  // flow equation
+  Grouped_Polynomial flow_equation;
+  // flow equation for the derivatives
+  Grouped_Polynomial flow_equation_deriv;
+  int i;
+
+
+  // parse flow equation
+  // if there is a unique argument, assume it is the flow equation
+  if(str_args.length==1){
+    char_array_to_Grouped_Polynomial(str_args.strs[0], &flow_equation);
+  }
+  else{
+    arg_index=find_str_arg("flow_equation", str_args);
+    if(arg_index<0){
+      fprintf(stderr,"error: no flow equation entry in the configuration file\n");
+      exit(-1);
+    }
+    else{
+      char_array_to_Grouped_Polynomial(str_args.strs[arg_index], &flow_equation);
+    }
+
+    // variables
+    // check they were not specified on the command line
+    if(opts.deriv_vars.length==-1){
+      arg_index=find_str_arg("variables", str_args);
+      if(arg_index>=0){
+	int_array_read(str_args.strs[arg_index],&(opts.deriv_vars));
+      }
+    }
+  }
+
+  // if variables length is negative then set the variables to all of the available ones
+  if(opts.deriv_vars.length<0){
+    init_Int_Array(&(opts.deriv_vars), flow_equation.length);
+    for(i=0;i<flow_equation.length;i++){
+      int_array_append(flow_equation.indices[i], &(opts.deriv_vars));
+    }
+  }
+
+  // compute derivatives
+  flow_equation_derivative(opts.deriv_derivs, opts.deriv_vars, flow_equation, &flow_equation_deriv);
+
+  grouped_polynomial_print(flow_equation_deriv,'%','%');
+
+  // free memory
+  free_Grouped_Polynomial(flow_equation);
+  free_Grouped_Polynomial(flow_equation_deriv);
+  free_Int_Array(opts.deriv_vars);
+  return(0);
+}
+
+
+// n first derivatives of a flow equation wrt to variables
+int flow_equation_derivative(int n, Int_Array variables, Grouped_Polynomial flow_equation, Grouped_Polynomial* flow_equation_derivs){
+  Grouped_Polynomial dflow;
+  Grouped_Polynomial tmpflow;
+  Int_Array indices;
+  int i,j;
+
+  int_array_cpy(variables, &indices);
+
+  // output polynomial
+  grouped_polynomial_cpy(flow_equation, flow_equation_derivs);
+
+  for(j=0,dflow=flow_equation;j<n;j++){
+    // tmp flow contains the result of the previous derivative
+    grouped_polynomial_cpy(dflow, &tmpflow);
+    // derive
+    flow_equation_derivx(tmpflow, indices, &dflow);
+    // free
+    free_Grouped_Polynomial(tmpflow);
+
+    // add the derived indices as variables for the next derivative
+    for(i=0;i<variables.length;i++){
+      if(variables.values[i]>=0){
+	int_array_append((j+1)*DOFFSET+variables.values[i], &indices);
+      }
+      // constants have a negative index
+      else{
+	int_array_append(-(j+1)*DOFFSET+variables.values[i], &indices);
+      }
+    }
+
+    // add to flow equation
+    grouped_polynomial_concat(dflow, flow_equation_derivs);
+  }
+
+  if(n>0){
+    free_Grouped_Polynomial(dflow);
+  }
+  free_Int_Array(indices);
+  return(0);
+}
-- 
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