mathfuncs.h File Reference

#include <cmath>
#include <limits>
#include <iostream>
#include <vector>
#include <gsl/gsl_matrix.h>
#include "endianTest.h"

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Classes
class	Point3D
	A 3D point data class storage. More...
class	RandNumGen
struct	Quaternion
struct	Point3f
class	LinearFeedbackShiftReg

Functions
void	quat_rot (Point3D &p, const Point3D &r, float angle)
void	quat_rot (Point3f *point, const Point3f *rotVec, float angle)
void	quat_rot_array (Point3f *point, unsigned int n, const Point3f *rotVec, float angle)
void	quat_rot_array (Point3D *point, unsigned int n, const Point3f *rotVec, float angle)
void	quat_get_rot_quat (const Point3f *rotVec, float angle, Quaternion *rotQuat)
void	quat_rot_apply_quat (Point3f *point, const Quaternion *rotQuat)
void	applyQuaternionRotation (std::vector< Point3D > &pts, const Quaternion &q)
double	pyramidVol (const Point3D *planarPts, const Point3D &apex)
float	dotProduct (float a1, float a2, float a3, float b1, float b2, float b3)
	Inline func for calculating a(dot)b. More...
unsigned int	ilog2 (unsigned int value)
void	computeRotationMatrix (const Point3D &ur1, const Point3D &ur2, const Point3D &r1, const Point3D &r2, gsl_matrix *m)
	Use the TRIAD algorithm to compute the matrix that transforms orthogonal unit vectors. More...
void	rotateByMatrix (const std::vector< Point3D > &vpts, const gsl_matrix *m, std::vector< Point3D > &r)
float	clockwiseAngle (const Point3D &v1, const Point3D &v2, const Point3D &normal)
void	scatterPointsInPolygon (const std::vector< Point3D > &polygon, const Point3D &normal, float scatterDensity, RandNumGen &rng, std::vector< Point3D > &result)
void	rotatePointsToXYPlane (std::vector< Point3D > &pts, const Point3D &normal, const Point3D &origin, Quaternion &q)

Function Documentation

applyQuaternionRotation()

void applyQuaternionRotation	(	std::vector< Point3D > &	pts,
		const Quaternion &	q
	)

clockwiseAngle()

float clockwiseAngle	(	const Point3D &	v1,
		const Point3D &	v2,
		const Point3D &	normal
	)

References Point3D::angle(), Point3D::crossProd(), Point3D::dotProd(), and M_PI.

Referenced by applyQuaternion(), BoundCube::getPlaneIntersectVertices(), and ilog2().

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computeRotationMatrix()

void computeRotationMatrix	(	const Point3D &	ur1,
		const Point3D &	ur2,
		const Point3D &	r1,
		const Point3D &	r2,
		gsl_matrix *	m
	)

Use the TRIAD algorithm to compute the matrix that transforms orthogonal unit vectors.

References ASSERT, Point3D::crossProd(), and Point3D::sqrMag().

Referenced by ilog2().

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dotProduct()

float dotProduct ( float  a1, float  a2, float  a3, float  b1, float  b2, float  b3  )

inline

Inline func for calculating a(dot)b.

Referenced by GetReducedHullPts().

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ilog2()

unsigned int ilog2 ( unsigned int  value )

inline

References clockwiseAngle(), computeRotationMatrix(), rotateByMatrix(), rotatePointsToXYPlane(), and scatterPointsInPolygon().

Referenced by testFilterTree().

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pyramidVol()

double pyramidVol	(	const Point3D *	planarPts,
		const Point3D &	apex
	)

References det3by3().

Referenced by GetReducedHullPts(), and LinearFeedbackShiftReg::setState().

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quat_get_rot_quat()

void quat_get_rot_quat	(	const Point3f *	rotVec,
		float	angle,
		Quaternion *	rotQuat
	)

References Quaternion::a, ASSERT, Quaternion::b, Quaternion::c, Quaternion::d, Point3f::fx, Point3f::fy, and Point3f::fz.

Referenced by TransformFilter::refresh(), rotatePointsToXYPlane(), and CropHelper::runFilter().

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quat_rot() [1/2]

void quat_rot	(	Point3D &	p,
		const Point3D &	r,
		float	angle
	)

References Point3f::fx, Point3f::fy, Point3f::fz, and quat_rot().

Referenced by DrawGLText::draw(), drawCone(), BoxCropEffect::enable(), DrawGLText::getBoundingBox(), CameraLookAt::move(), Camera::pivot(), CameraLookAt::pivot(), quat_rot(), and CameraLookAt::roll().

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quat_rot() [2/2]

void quat_rot	(	Point3f *	point,
		const Point3f *	rotVec,
		float	angle
	)

References Quaternion::a, ASSERT, Quaternion::b, Quaternion::c, Quaternion::d, Point3f::fx, Point3f::fy, Point3f::fz, quat_mult_no_second_a(), and quat_pointmult().

quat_rot_apply_quat()

void quat_rot_apply_quat	(	Point3f *	point,
		const Quaternion *	rotQuat
	)

References Quaternion::b, Quaternion::c, Quaternion::d, Point3f::fx, Point3f::fy, Point3f::fz, quat_mult_no_second_a(), and quat_pointmult().

Referenced by applyQuaternion(), TransformFilter::refresh(), rotatePointsToXYPlane(), and CropHelper::runFilter().

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quat_rot_array() [1/2]

void quat_rot_array	(	Point3f *	point,
		unsigned int	n,
		const Point3f *	rotVec,
		float	angle
	)

References Quaternion::a, ASSERT, Quaternion::b, Quaternion::c, Quaternion::d, Point3f::fx, Point3f::fy, Point3f::fz, quat_mult_no_second_a(), and quat_pointmult().

quat_rot_array() [2/2]

void quat_rot_array	(	Point3D *	point,
		unsigned int	n,
		const Point3f *	rotVec,
		float	angle
	)

References Point3f::fx, Point3f::fy, Point3f::fz, and quat_rot_array().

Referenced by DrawGLText::getBoundingBox(), and quat_rot_array().

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rotateByMatrix()

void rotateByMatrix	(	const std::vector< Point3D > &	vpts,
		const gsl_matrix *	m,
		std::vector< Point3D > &	r
	)

Referenced by ilog2().

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rotatePointsToXYPlane()

void rotatePointsToXYPlane	(	std::vector< Point3D > &	pts,
		const Point3D &	normal,
		const Point3D &	origin,
		Quaternion &	q
	)

References Point3D::angle(), Point3D::crossProd(), Point3f::fx, Point3f::fy, Point3f::fz, Point3D::normalise(), Point3D::Point3D(), quat_get_rot_quat(), quat_rot_apply_quat(), and Point3D::sqrt().

Referenced by ilog2().

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scatterPointsInPolygon()

void scatterPointsInPolygon	(	const std::vector< Point3D > &	polygon,
		const Point3D &	normal,
		float	scatterDensity,
		RandNumGen &	rng,
		std::vector< Point3D > &	result
	)

References Point3D::angle(), ASSERT, Point3D::centroid(), generatePointInTri(), RandNumGen::genUniformDev(), Point3D::mag(), and Point3D::sqrt().

Referenced by ilog2(), and VoxeliseFilter::refresh().

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