math.hpp File Reference

#include <complex>
#include <algorithm>
#include <common.hpp>

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Classes
struct	rack::math::Vec
	2-dimensional vector of floats, representing a point on the plane for graphics. More...
struct	rack::math::Rect
	2-dimensional rectangle for graphics. More...

Namespaces
namespace	rack
	Root namespace for the Rack API.
namespace	rack::math
	Extends <cmath> with extra functions and types.

Macros
#define	VEC_ARGS(v)   (v).x, (v).y
	Expands a Vec and Rect into a comma-separated list.
#define	RECT_ARGS(r)   (r).pos.x, (r).pos.y, (r).size.x, (r).size.y

Functions
template<typename T >
bool	rack::math::isEven (T x)
	Returns true if x is odd.
template<typename T >
bool	rack::math::isOdd (T x)
	Returns true if x is odd.
int	rack::math::clamp (int x, int a, int b)
	Limits x between a and b.
int	rack::math::clampSafe (int x, int a, int b)
	Limits x between a and b.
int	rack::math::eucMod (int a, int b)
	Euclidean modulus.
int	rack::math::eucDiv (int a, int b)
	Euclidean division.
void	rack::math::eucDivMod (int a, int b, int *div, int *mod)
int	rack::math::log2 (int n)
	Returns floor(log_2(n)), or 0 if n == 1.
template<typename T >
bool	rack::math::isPow2 (T n)
	Returns whether n is a power of 2.
template<typename T >
T	rack::math::sgn (T x)
	Returns 1 for positive numbers, -1 for negative numbers, and 0 for zero.
float	rack::math::clamp (float x, float a=0.f, float b=1.f)
	Limits x between a and b.
float	rack::math::clampSafe (float x, float a=0.f, float b=1.f)
	Limits x between a and b.
	rack::math::__attribute__ ((optimize("signed-zeros"))) inline float normalizeZero(float x)
	Converts -0.f to 0.f.
float	rack::math::eucMod (float a, float b)
	Euclidean modulus.
bool	rack::math::isNear (float a, float b, float epsilon=1e-6f)
	Returns whether a is within epsilon distance from b.
float	rack::math::chop (float x, float epsilon=1e-6f)
	If the magnitude of x if less than epsilon, return 0.
float	rack::math::rescale (float x, float xMin, float xMax, float yMin, float yMax)
	Rescales x from the range [xMin, xMax] to [yMin, yMax].
float	rack::math::crossfade (float a, float b, float p)
	Linearly interpolates between a and b, from p = 0 to p = 1.
float	rack::math::interpolateLinear (const float *p, float x)
	Linearly interpolates an array p with index x.
void	rack::math::complexMult (float ar, float ai, float br, float bi, float *cr, float *ci)
	Complex multiplication c = a * b.
Vec	rack::math::operator+ (const Vec &a)
Vec	rack::math::operator- (const Vec &a)
Vec	rack::math::operator+ (const Vec &a, const Vec &b)
Vec	rack::math::operator- (const Vec &a, const Vec &b)
Vec	rack::math::operator* (const Vec &a, const Vec &b)
Vec	rack::math::operator* (const Vec &a, const float &b)
Vec	rack::math::operator* (const float &a, const Vec &b)
Vec	rack::math::operator/ (const Vec &a, const Vec &b)
Vec	rack::math::operator/ (const Vec &a, const float &b)
Vec	rack::math::operator+= (Vec &a, const Vec &b)
Vec	rack::math::operator-= (Vec &a, const Vec &b)
Vec	rack::math::operator*= (Vec &a, const Vec &b)
Vec	rack::math::operator*= (Vec &a, const float &b)
Vec	rack::math::operator/= (Vec &a, const Vec &b)
Vec	rack::math::operator/= (Vec &a, const float &b)
bool	rack::math::operator== (const Vec &a, const Vec &b)
bool	rack::math::operator!= (const Vec &a, const Vec &b)
bool	rack::math::operator== (const Rect &a, const Rect &b)
bool	rack::math::operator!= (const Rect &a, const Rect &b)

Macro Definition Documentation

VEC_ARGS

#define VEC_ARGS

(

v

)

(v).x, (v).y

Expands a Vec and Rect into a comma-separated list.

Useful for print debugging.

printf("(%f %f) (%f %f %f %f)", VEC_ARGS(v), RECT_ARGS(r));

Or passing the values to a C function.

nvgRect(vg, RECT_ARGS(r));

RECT_ARGS

#define RECT_ARGS

(

r

)

(r).pos.x, (r).pos.y, (r).size.x, (r).size.y