3d_math.h File Reference

Defines math related functions. More...

#include <plugins/3dapi/xv3d_types.h>
#include "3d_fastmath.h"

Go to the source code of this file.

Functions
SFVEC3F	SphericalToCartesian (float aInclination, float aAzimuth)
	https://en.wikipedia.org/wiki/Spherical_coordinate_system
SFVEC3F	UniformRandomHemisphereDirection ()
SFVEC3F	CosWeightedRandomHemisphereDirection (const SFVEC3F &n)
bool	Refract (const SFVEC3F &aInVector, const SFVEC3F &aNormal, float aRin_over_Rout, SFVEC3F &aOutVector)
	Based on: https://github.com/mmp/pbrt-v3/blob/master/src/core/reflection.h See also: http://www.flipcode.com/archives/Raytracing_Topics_Techniques-Part_3_Refractions_and_Beers_Law.shtml.
float	mapf (float x, float in_min, float in_max, float out_min, float out_max)
float	RGBtoGray (const SFVEC3F &aColor)
SFVEC3F	MaterialDiffuseToColorCAD (const SFVEC3F &aDiffuseColor)
float	QuadricEasingInOut (float t)
float	BezierBlend (float t)

Detailed Description

Defines math related functions.

Definition in file 3d_math.h.

Function Documentation

BezierBlend()

float BezierBlend ( float  t )

inline

Definition at line 179 of file 3d_math.h.

Referenced by TRACK_BALL::Interpolate().

CosWeightedRandomHemisphereDirection()

SFVEC3F CosWeightedRandomHemisphereDirection ( const SFVEC3F &  n )

inline

Definition at line 69 of file 3d_math.h.

mapf()

float mapf ( float  x, float  in_min, float  in_max, float  out_min, float  out_max  )

inline

Definition at line 133 of file 3d_math.h.

Referenced by RENDER_3D_OPENGL::setupMaterials().

MaterialDiffuseToColorCAD()

SFVEC3F MaterialDiffuseToColorCAD ( const SFVEC3F &  aDiffuseColor )

inline

Definition at line 147 of file 3d_math.h.

References RGBtoGray().

Referenced by RENDER_3D_RAYTRACE_BASE::addModels(), MODEL_3D::Draw(), and MODEL_3D::MODEL_3D().

QuadricEasingInOut()

float QuadricEasingInOut ( float  t )

inline

Definition at line 163 of file 3d_math.h.

Referenced by TRACK_BALL::Interpolate().

Refract()

bool Refract ( const SFVEC3F &  aInVector, const SFVEC3F &  aNormal, float  aRin_over_Rout, SFVEC3F &  aOutVector  )

inline

Based on: https://github.com/mmp/pbrt-v3/blob/master/src/core/reflection.h See also: http://www.flipcode.com/archives/Raytracing_Topics_Techniques-Part_3_Refractions_and_Beers_Law.shtml.

Parameters

aInVector	incoming vector.
aNormal	normal in the intersection point.
aRin_over_Rout	incoming refraction index / out refraction index.
aOutVector	the refracted vector.

Returns

true

Definition at line 112 of file 3d_math.h.

Referenced by RENDER_3D_RAYTRACE_BASE::shadeHit().

RGBtoGray()

float RGBtoGray ( const SFVEC3F &  aColor )

inline

Definition at line 140 of file 3d_math.h.

Referenced by RENDER_3D_RAYTRACE_BASE::getModelMaterial(), and MaterialDiffuseToColorCAD().

SphericalToCartesian()

SFVEC3F SphericalToCartesian ( float  aInclination, float  aAzimuth  )

inline

https://en.wikipedia.org/wiki/Spherical_coordinate_system

Parameters

aInclination	θ ∈ [0, π]
aAzimuth	φ ∈ [0, 2π]

Returns

Cartesian coordinates

Definition at line 43 of file 3d_math.h.

Referenced by init_lights(), and RENDER_3D_RAYTRACE_BASE::Reload().

UniformRandomHemisphereDirection()

SFVEC3F UniformRandomHemisphereDirection ( )

inline

Todo:

This is not correct because it is not a gaussian random.

Definition at line 55 of file 3d_math.h.

References Fast_RandFloat().

Referenced by RENDER_3D_RAYTRACE_BASE::shadeHit().