Akifumi Takahashi
This lib is considered to be used as a sensor's calibration program. Calibration with Spline Interpolation might be useful in the case that you want some model expressing relationship such like between a value of physical quantity and your sensor's voltage, but you cannot estimate a model such as liner, square, cubic polynomial, or sine curve. This makes (Parametric) Cubic Spline Polynomial Model (Coefficients of the polynomial) from some sample plots(e.g. sets of (value, voltage)). The inverse function (x,y)->(y,x) has been implemented so as to get analog data (not stepping or leveled data).
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TRP105F_Spline
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Akifumi Takahashi
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CubicSpline.h
00001 /** 00002 * Spline_Cubic.h,.cpp 00003 * 00004 * Author: aktk, aktk.j.uec@gmail.com 00005 * Tokyo, Japan. 00006 * 00007 * LOG: 00008 * ver.0 2016/02.12 - 2016/02/16 00009 * TRP105F_Spline.h,.cpp(Ver.2.1) 00010 * ver.1 2016/05.12 00011 */ 00012 #ifndef Cubic_Spline_H 00013 #define Cubic_Spline_H 00014 00015 #define DEBUG 00016 #define VERSION_C 00017 //#define DEBUG_MAKE_MODEL 00018 //#define DEBUG_SOLVE 00019 //#define DEBUG_GETX "DEBUG_GETX\n" 00020 //#define DEBUG_GETY "DEBUG_GETY\n" 00021 00022 #include "mbed.h" 00023 #include <cmath> 00024 #include <complex> 00025 #include <vector> 00026 00027 // Vector Element Type 00028 typedef struct { 00029 double x; // 00030 double y; // 00031 double t; // use as pramameter of x,y. 00032 } Vxyt; 00033 00034 enum UseType { 00035 AsDEBUG, 00036 AsMODULE 00037 }; 00038 00039 class CubicSpline2d 00040 { 00041 public: 00042 // Constraction 00043 CubicSpline2d(); 00044 CubicSpline2d(unsigned int); 00045 CubicSpline2d(unsigned int, UseType); 00046 // Destraction 00047 ~CubicSpline2d(); 00048 // Functions 00049 double getX(double arg_y); 00050 double getY(double arg_x); 00051 void calibrateSensor(); 00052 void saveSetting(); 00053 void saveSetting(const char *filename); 00054 void loadSetting(); 00055 void loadSetting(const char *filename); 00056 void printOutData(); 00057 00058 private: 00059 // 00060 // Variables 00061 // 00062 UseType _useType; 00063 unsigned int _Sample_Num; // the number of samples for derive spline 00064 Vxyt* _Sample_Set; 00065 double* _C_x[4]; //x = Spline-f(t) = _C_x[0] + _C_x[1]t + _C_x[2]t^2 + _C_x[3]t^3 00066 double* _C_y[4]; //y = Spline-f(t) = _C_y[0] + _C_y[1]t + _C_y[2]t^2 + _C_y[3]t^3 00067 Vxyt _Last_Point; 00068 // 00069 // 00070 // 00071 // 00072 // For calibration 00073 // 00074 // sampling data for calibration 00075 void _sampleData(); 00076 // generate a vector of _u_params which is used for Cubic spline model 00077 void _makeModel( 00078 const double* arg_sampled_t, 00079 const double* arg_sampled_ft, 00080 /*-*/ double* arg_C[4], 00081 const unsigned int arg_num 00082 ); 00083 void _makeModel( 00084 const double* arg_sampled_t, 00085 const double* arg_sampled_ft, 00086 /*-*/ double* arg_C[4] 00087 ); 00088 // 00089 // For calculation 00090 // 00091 // Fuction to return the value of Cubic polynomial f(t) 00092 double _cubic_f( 00093 const double arg_t, 00094 const double arg_C[4] 00095 ); 00096 // Function to solve a cubic polinomial 00097 // by using Gardano-Tartaglia formula 00098 void _solve_cubic_f( 00099 std::complex<double>* arg_t, 00100 const double arg_C[4], 00101 const double arg_ft 00102 ); 00103 // 00104 // For debug 00105 // 00106 void _printOutData( 00107 const unsigned short* arg, 00108 const int num, 00109 const char* name); 00110 void _printOutData( 00111 const Vxyt* arg, 00112 const int num, 00113 const char* name); 00114 void _printOutData( 00115 const double* arg, 00116 const int num, 00117 const char* name); 00118 void _printOutDataCouple( 00119 const double* arg1, 00120 const double* arg2, 00121 const int num, 00122 const char* name); 00123 }; 00124 #endif
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