From 3c2a468273fe1d07f19bf784d7f878ea008a0925 Mon Sep 17 00:00:00 2001
From: Aaron LI <aaronly.me@outlook.com>
Date: Tue, 7 Feb 2017 14:12:00 +0800
Subject: Rename spline.h to spline.hpp

---
 mass_profile/spline.hpp | 110 ++++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 110 insertions(+)
 create mode 100644 mass_profile/spline.hpp

(limited to 'mass_profile/spline.hpp')

diff --git a/mass_profile/spline.hpp b/mass_profile/spline.hpp
new file mode 100644
index 0000000..1027b61
--- /dev/null
+++ b/mass_profile/spline.hpp
@@ -0,0 +1,110 @@
+#ifndef SPLINE_HPP
+#define SPLINE_HPP
+
+#include <vector>
+#include <cstdlib>
+#include <cassert>
+#include <cmath>
+#include <limits>
+
+template <typename T>
+class spline
+{
+public:
+  std::vector<T> x_list;
+  std::vector<T> y_list;
+  std::vector<T> y2_list;
+
+public:
+  void push_point(T x,T y)
+  {
+    if(!x_list.empty())
+      {
+	assert(x>*(x_list.end()-1));
+      }
+    x_list.push_back(x);
+    y_list.push_back(y);
+  }
+
+  T get_value(T x)
+  {
+    if(x<=x_list[0])
+      {
+	return y_list[0];
+      }
+    if(x>=x_list.back())
+      {
+	return y_list.back();
+      }
+    assert(x_list.size()==y2_list.size());
+    assert(x>x_list[0]);
+    assert(x<x_list.back());
+    int n1,n2;
+    n1=0;
+    n2=x_list.size()-1;
+    while((n2-n1)!=1)
+      {
+	//cerr<<n1<<"\t"<<n2<<endl;
+	if(x_list[n1+1]<=x)
+	  {
+	    n1++;
+	  }
+	if(x_list[n2-1]>x)
+	  {
+	    n2--;
+	  }
+      }
+    T h=x_list[n2]-x_list[n1];
+    double a=(x_list[n2]-x)/h;
+    double b=(x-x_list[n1])/h;
+    return a*y_list[n1]+b*y_list[n2]+((a*a*a-a)*y2_list[n1]+
+				      (b*b*b-b)*y2_list[n2])*(h*h)/6.;
+
+  }
+
+  void gen_spline(T y2_0,T y2_N)
+  {
+    int n=x_list.size();
+    y2_list.resize(0);
+    y2_list.resize(x_list.size());
+    std::vector<T> u(x_list.size());
+    if(std::abs(y2_0)<std::numeric_limits<T>::epsilon())
+      {
+	y2_list[0]=0;
+	u[0]=0;
+      }
+    else
+      {
+	y2_list[0]=-.5;
+	u[0]=(3./(x_list[1]-x_list[0]))*((y_list[1]-y_list[0])/(x_list[1]-x_list[0])-y2_0);
+      }
+    for(int i=1;i<n-1;++i)
+      {
+	double sig=(x_list[i]-x_list[i-1])/(x_list[i+1]-x_list[i-1]);
+	double p=sig*y2_list[i-1]+2.;
+	y2_list[i]=(sig-1.)/p;
+	u[i]=(y_list[i+1]-y_list[i])/(x_list[i+1]-x_list[i])
+	  -(y_list[i]-y_list[i-1])/(x_list[i]-x_list[i-1]);
+	u[i]=(6.*u[i]/(x_list[i+1]-x_list[i-1])-sig*u[i-1])/p;
+      }
+    double qn,un;
+    if(std::abs(y2_N)<std::numeric_limits<T>::epsilon())
+      {
+	qn=un=0;
+      }
+    else
+      {
+	qn=.5;
+	un=(3./(x_list[n-1]-x_list[n-2]))*(y2_N-(y_list[n-1]-y_list[n-2])/(x_list[n-1]-x_list[n-2]));
+
+      }
+    y2_list[n-1]=(un-qn*u[n-2])/(qn*y2_list[n-2]+1.);
+    for(int i=n-2;i>=0;--i)
+      {
+	y2_list[i]=y2_list[i]*y2_list[i+1]+u[i];
+      }
+  }
+
+};
+
+#endif  /* SPLINE_HPP */
-- 
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