98 lines
2.1 KiB
C
98 lines
2.1 KiB
C
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#ifndef COMMON_MATH_LIBRARY_H
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#define COMMON_MATH_LIBRARY_H
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#define TAYLOR_SERIES_DEGREE 34
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const float PI = 3.1415926535897932384626433f;
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/**
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* Compute the factorial of parameter x.
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* This function only properly works on natural numbers.
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* The implementation is an iterative one and is only limited by the size
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* of the type used in the calculation.
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* @param x the factorial of x or 1 if x < 0
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* @return the factorial for x
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*/
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long long fac(long long x);
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/**
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* Truncates the parameter x.
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* In other words this function will cut of the fraction part of the number x.
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* @param x
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* @return trunc(x)
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*/
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inline float trunc(float x);
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/**
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* Computes the fraction of x.
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* In other words this function will only keep the fractional part and cut of the integral.
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* @param x
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* @return fract(x)
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*/
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inline float fract(float x);
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/**
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* Computes the floor of x.
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* In other words this function will round x towards negative infinity.
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* This is effectively the same as trunc(x)
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* @param x
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* @return floor(x)
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*/
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inline float floor(float x);
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/**
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* Computes the ceil of x.
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* In other words this function will round x towards positive infinity
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* @param x
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* @return ceil(x)
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*/
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inline float ceil(float x);
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/**
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* Round the number x.
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* In other words this function will round x towards negative infinity if x the fraction of x is smaller than 0.5 and else
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* towards positive infinity
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* @param x
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* @return round(x)
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*/
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inline float round(float x);
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/**
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* Compute the modulo division of x and y.
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* @param x
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* @param y
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* @return mod(x,y)
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*/
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float mod(float x, float y);
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/**
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* Computes the result of e raised to the power of x.
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* This function only performs an approximation based on the famous taylor series for e^x.
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* @param x the exponent of e^x
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* @return approximation of e^x
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*/
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float exp(float x);
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/**
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* Computes the sine of x.
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* @param x
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* @return sin(x)
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*/
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float sin(float x);
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/**
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* Computes the cosine of x.
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* @param x
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* @return cos(x)
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*/
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float cos(float x);
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/**
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* Computes the tangent of x.
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* @param x
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* @return tan(x)
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*/
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float tan(float x);
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#endif //COMMON_MATH_LIBRARY_H
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