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#ifndef math_utility_H__
#define math_utility_H__
#include <cstdlib>
namespace meow{
static const double PI = 3.14159265358979323846264338327950288;
//#
//# === meow:: *Functios* in math/utility.h
//#
//# [options="header",width="100%",cols="1>s,5<,1<,10<",grid="rows"]
//# |==============================================================
//# |Name | Parameters | Return_Type | Description
//# |noEPS<T> |(T `value`, T `eps` = 1e-9) | T |
//# 如果abs(輸入的數值) < eps, 則回傳0, 否則回傳輸入的數值
template<class T>
inline T noEPS(T value, T eps = 1e-9);
//# |normalize<T> |(T `lower`, T `upper`, \ T value)
//# | T | `(value - lower) / (upper - lower)`
template<class T>
inline T normalize(T lower, T upper, T value);
//# |denormalize<T> |(T `lower`, T `upper`,
//# \ T `ratio`) | T | `lower + (upper - lower) * ratio`
template<class T>
inline T denormalize(T lower, T upper, T ratio);
//# |ratioMapping<T>|(T `l1`, T `u1`,
//# \T `m1`, T `l2`,\T `u2`)
//# | T | `denormalize(l2, u2, normalize(l1, u1, m1))`
template<class T>
inline T ratioMapping(T l1, T u1, T m1, T l2, T u2);
//# |inRange<T> |(T const& `mn`, T const& `mx`, \ T const& `v`) | T |
//# `std::max(mn, std::min(mx, v))`
template<class T>
inline T inRange(T const& mn, T const& mx, T const& v);
//# |squ<T> |(T const& `x`) | T| `x * x`
template<class T>
inline T squ(T const& x);
//# |cub<T> |(T const& `x`) | T| `x * x * x`
template<class T>
inline T cub(T const& x);
//# |average<T>|(T const& `beg`, T const& `end`, \ double `sigs`)| T|
//# 只將 `sigs` 個標準差以內的數據拿來取平均
template<class T>
inline double average(T const& beg, T const& end, double sigs);
//# |average<T>|(T const& `beg`, T const& `end`,
//# \ T const& `p`, double `sigs`)| T| 同上, 不過這次用 `p` 來加權平均
template<class T>
inline double average(T const& beg, T const& end, T const& p, double sigs);
//# |==============================================================
//#
//# [NOTE]
//# ====================================
//# * 額外附贈一個 `const double PI = 3.141592653589......`
//# ====================================
//#
//# '''
//#
}
#include "utility.hpp"
#endif // math_utility_H__
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