eis/inc/glob/MathExpression.h

#ifndef _MATH_EXPRESSION_H_
#define _MATH_EXPRESSION_H_

/******************************************************************************************************************
* Arithmetic operation expression
*
* support function: "random","floor", "abs",  "sqrt", "sin",  "cos",  "tan",  "atan", "log",  "exp",  "atan2", "pow"
*
* function can be customized,for exmple:
* double len2(double a, double b) {
*    return sqrt(a*a + b*b);
* }
* MathExpression::AddFunction("len2", len2);
*
* exp: std::map<std::string, double> vars;
*	vars["x"] = 100;
*	vars["y"] = 200;
*	MathExpression e("(sqrt(x)>y)&&(x>y)", vars);
*	double ret = e.Evaluator();
*
*   MathExpression expr1 = MathExpression::Parse("x>y", vars);
*   std::cout<<"expr1:"<<expr1.Evaluator()<<std::endl;
*
*   1.0    2020-12-07    zoufuzhou
******************************************************************************************************************/

#include <vector>
#include <string>
#include <map>
#include <stdexcept>
#include <algorithm>
#include <iostream>
#include <string.h>

class MathExpression {

public:
    struct Error : std::runtime_error {
        int position;
        Error(const std::string& msg, int position = -1)
            : std::runtime_error(msg), position(position)
        {}
    };

	//evaluation expression
    double Evaluator() const;


	//parse expression
    static MathExpression Parse(const char *expstr, std::map<std::string, double>& vars);

    MathExpression(double x = 0.0) {
        m_resreg = 0;
        m_wrk.push_back(x);
    }

    void Swap(MathExpression& other) {
        std::swap(m_resreg, other.m_resreg);
        m_code.swap(other.m_code);
        m_wrk.swap(other.m_wrk);
        m_variables.swap(other.m_variables);
    }


	//structure evaluation expression
    MathExpression(const char *expstr, std::map<std::string, double>& m) {
        MathExpression e = Parse(expstr, m);
        Swap(e);
    }


	//add custom function
    static void AddFunction(const char *name, double (*f)()) {
        m_func0.push_back(f);
        mp_functions[name] = std::make_pair(m_func0.size()-1, 0);
    }

	//add custom function
    static void AddFunction(const char *name, double (*f)(double)) {
        m_func1.push_back(f);
        mp_functions[name] = std::make_pair(m_func1.size()-1, 1);
    }

	//add custom function
    static void AddFunction(const char *name, double (*f)(double, double)) {
        m_func2.push_back(f);
        mp_functions[name] = std::make_pair(m_func2.size()-1, 2);
    }

	//evaluation expression disassemble
    std::string Disassemble() const;

private:

	//skip space
	static void SkipSP(const char *& expstr);

    static MathExpression PartialParse(const char *& expstr, std::map<std::string, double>& vars);

	int Compile(std::vector<int>& regs,const char *& expstr, std::map<std::string, double>& vars, int level);

private:
    enum { MOVE, LOAD,
           NEG, NOT,
           ADD, SUB, MUL, DIV, LT, LE, GT, GE, EQ, NE, AND, OR,
           B_SHL, B_SHR, B_AND, B_OR, B_XOR,
           FSIN, FCOS, FFLOOR, FABS, FSQRT, FTAN, FATAN, FLOG, FEXP, FATAN2, FPOW,
           FUNC0, FUNC1, FUNC2 };

    int m_resreg;
    std::vector<int> m_code;
    mutable std::vector<double> m_wrk;
    std::vector<double *> m_variables;

    struct Operator {
        const char *name;
        int level;
        int opcode;
    };

    static std::map<std::string, Operator> mp_operators;
    static int m_max_level;
    static std::map<std::string, std::pair<int, int> > mp_inlined;

    static std::map<std::string, std::pair<int, int> > mp_functions;
    static std::vector<double (*)()> m_func0;
    static std::vector<double (*)(double)> m_func1;
    static std::vector<double (*)(double,double)> m_func2;

    class Init;
    friend class Init;

    enum { READONLY = 0x4000000 };

    int reg(std::vector<int>& regs) {
        if (regs.size() == 0) {
            m_wrk.resize(1 + m_wrk.size());
            regs.push_back(m_wrk.size()-1);
        }
        int r = regs.back();
        regs.pop_back();
        return r;
    }

};

#endif