From 2d2880203c0a48561f30a6ba8810e806d0b26231 Mon Sep 17 00:00:00 2001
From: tomsmeding <tom.smeding@gmail.com>
Date: Fri, 10 Mar 2017 19:19:02 +0100
Subject: Cumulative interpolation (looks better)

---
 roots.cpp | 22 +++++++++++++++++-----
 1 file changed, 17 insertions(+), 5 deletions(-)

diff --git a/roots.cpp b/roots.cpp
index 25102ba..0ba8fe9 100644
--- a/roots.cpp
+++ b/roots.cpp
@@ -4,6 +4,7 @@
 #include <tuple>
 #include <functional>
 #include <thread>
+#include <algorithm>
 #include <cstring>
 #include <cmath>
 #include <cstdint>
@@ -316,9 +317,10 @@ tuple<int*,int,int> readData(const char *fname){
 
 inline double interpCurve(double x){
 	// return atan(30*x);
-	return pow(x,1.0/2);
+	// return pow(x,1.0/2);
 	// return sqrt(log(18*pow(x,0.7)+1));
 	// return x;
+	return log(x+1);
 }
 
 inline double interp(double x,double clip){
@@ -328,12 +330,22 @@ inline double interp(double x,double clip){
 void buildImage(unsigned char *image,const int *tally,int width,int height){
 	int maxval=0;
 	for(int i=0;i<width*height;i++){
-		maxval=max(maxval,(int)tally[i]);
+		maxval=max(maxval,tally[i]);
 	}
+
+	int cumul[maxval+1];
+	memset(cumul,0,(maxval+1)*sizeof(int));
+	for(int i=0;i<width*height;i++){
+		cumul[tally[i]]++;
+	}
+	for(int i=1;i<maxval+1;i++){
+		cumul[i]+=cumul[i-1];
+	}
+	assert(cumul[maxval]==width*height);
+
 	for(int i=0;i<width*height;i++){
-		// image[3*i+0]=interp((double)min(tally[i],300)/300,0.4)*255;
-		image[3*i+0]=interp((double)min(tally[i],40)/40,0.4)*255;
-		// image[3*i+0]=interp((double)tally[i],0.4)*255;
+		// image[3*i+0]=interp((double)min(tally[i],capval)/capval,0.4)*255;
+		image[3*i]=pow((double)cumul[tally[i]]/cumul[maxval],2)*255;
 		image[3*i+1]=image[3*i+0];
 		image[3*i+2]=image[3*i+0];
 	}
-- 
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