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deMath.hpp File Reference

Math lib header. More...

#include "deGlobalTypes.hpp"
#include "deStack.hpp"
#include <cmath>

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Namespaces

namespace  deGeometry

Compounds

class  deFraction
struct  deFractionInfo
class  deMatrix44
class  deQuaternion
 a quaternion calculation class More...

class  deTransform
 rigid-body transformation. supports a translation and rotation, with possible scaling. More...

struct  deTransformInfo
 storage class for a Destiny3D transform More...

class  deTransformStack
struct  deVec4d

Functions

template<typename T> T SQUARE (T x)
deDouble Vec3d_LengthSq (const deVec3d &v)
 squared length of a deVec3d

deDouble Vec3d_Length (const deVec3d &v)
 length of a deVec3d

void Vec3d_ScaleByVec (deVec3d &v1, const deVec3d &v2)
 multiply each component of a deVec3d by the corresponding component of another

deBoolean Compare_Epsilon (const deDouble d1, const deDouble d2, deDouble epsilon=0.00001)
 compare equality of 2 floating-point values, within some Epsilon value

deBoolean Vec3d_Compare (const deVec3d &v1, const deVec3d &v2, deDouble epsilon=0.00001)
 compare equality of two deVec3d, within some Epsilon value

deBoolean Vec3d_CompareOpposite (const deVec3d &v1, const deVec3d &v2, deDouble epsilon=0.00001)
 compare exact opposite equality of two deVec3d, within some Epsilon value

deDouble Vec3d_Dot (const deVec3d &v1, const deVec3d &v2)
 compute the dot-product of two deVec3d (deDouble components)

deFloat Vec3d_Dot (const deVertex &v1, const deVertex &v2)
 compute the dot-product of two deVertex (deFloat components)

deDouble Vec3d_DistSq (const deVec3d &v1, const deVec3d &v2)
 compute the square of the distance between two deVec3d

deDouble Vec3d_Dist (const deVec3d &v1, const deVec3d &v2)
 compute the distance between two deVec3d

deFloat Vec3d_DistSq (const deVertex &v1, const deVertex &v2)
 compute the square of the distance between two deVertex

deFloat Vec3d_Dist (const deVertex &v1, const deVertex &v2)
 compute the distance between two deVertex

deVec3d operator- (const deVec3d &v)
 compute the inverse of a deVec3d (overloaded operator-)

deVec3d operator- (const deVec3d &v1, const deVec3d &v2)
 compute the component difference between two deVec3d (overloaded operator-)

deVec3d operator+ (const deVec3d &v1, const deVec3d &v2)
 compute the component sum of two deVec3d (overloaded operator+)

deVec3d operator * (const deVec3d &v1, deDouble d)
 compute the scalar product of a deVec3d and a floating-point value (overloaded operator*)

void operator-= (deVec3d &v1, const deVec3d &v2)
 subtract a deVec3d from another one (overloaded operator-=)

void operator+= (deVec3d &v1, const deVec3d &v2)
 add a deVec3d to another one (overloaded operator+=)

void operator *= (deVec3d &v1, deDouble d)
 multiply a deVec3d by a scalar value (overloaded operator*=)

void operator/= (deVec3d &v1, deDouble d)
 divide a deVec3d by a scalar value (overloaded operator/=)

deDouble & Vec3d_GetElement (const deVec3d &v, long i)
 obtain a reference to an indexed value inside a 3d vector (valid index values: {0,1,2}, map to {x,y,z})

deVertex operator- (const deVertex &v)
 compute the inverse of a deVertex (overloaded operator-)

deVertex operator- (const deVertex &v1, const deVertex &v2)
 compute the component difference between two deVertex (overloaded operator-)

deVertex operator+ (const deVertex &v1, const deVertex &v2)
 compute the component sum of two deVertex (overloaded operator+)

deVertex operator * (const deVertex &v1, deFloat f)
 compute the scalar product of a deVertex and a floating-point value (overloaded operator*)

void operator-= (deVertex &v1, const deVertex &v2)
 subtract a deVertex from another one (overloaded operator-=)

void operator+= (deVertex &v1, const deVertex &v2)
 add a deVertex to another one (overloaded operator+=)

void operator *= (deVertex &v1, deFloat d)
 multiply a deVertex by a scalar value (overloaded operator*=)

void operator/= (deVertex &v1, deFloat d)
 divide a deVertex by a scalar value (overloaded operator/=)

deTexCoord operator- (const deTexCoord &v1, const deTexCoord &v2)
deTexCoord operator+ (const deTexCoord &v1, const deTexCoord &v2)
deTexCoord operator * (const deTexCoord &v1, deFloat f)
void operator-= (deTexCoord &v1, const deTexCoord &v2)
void operator+= (deTexCoord &v1, const deTexCoord &v2)
void operator *= (deTexCoord &v1, deFloat d)
void operator/= (deTexCoord &v1, deFloat d)
void operator *= (deColor &lhs, const deColor &rhs)
 multiply each component of a deColor by the corresponding component of another

void Vec3d_Squeeze (deVec3d &v, deDouble Epsilon=0.00001)
void Vec3d_Cross (const deVec3d &V1, const deVec3d &V2, deVec3d &Result)
 compute the cross product of two deVec3d

void Vec3d_Cross (const deVertex &V1, const deVertex &V2, deVertex &Result)
 compute the cross product of two deVertex

deVec3d Vec3d_Cross (const deVec3d &V1, const deVec3d &V2)
deDouble Vec3d_Normalize (deVec3d &V)
deFloat Vertex_Normalize (deVertex &V)
deARGB Vec3d_ConvertToDot3 (const deVec3d &V1, deFloat Height)
 compute the 32-bit deARGB value for a normalized deVec3d (for dot3 bumpmapping)

deARGB Vec3d_ConvertToDot3Clamp (const deVec3d &V1, deFloat Height)

Detailed Description

Math lib header.

Author:
Assassin
This file is the intellectual property of Novus Delta, LLC.. Usage of the contents of this file is subject to the Destiny3D Member License which can be found at http://www.destiny3d.com. Any other usage is prohibited.

This file is distributed "AS IS" without warranty of any kind. Novus Delta, LLC. does not guarantee the fitness of the contents of this file for any particular purpose.

Copyright (C) 2001-2003 Novus Delta, LLC. All Rights Reserved.

Change History

Date:
Jan 2002
Author:
Assassin
Remarks:
Creation
Date:
Jul 2002
Author:
Hootie
Remarks:
Convert to static lib

Function Documentation

deBoolean Compare_Epsilon (  const deDouble    d1,
const deDouble    d2,
deDouble    epsilon = 0.00001
)  [inline, static]
 

compare equality of 2 floating-point values, within some Epsilon value

deTexCoord operator * (  const deTexCoord &    v1,
deFloat    f
)  [inline, static]
 

deVertex operator * (  const deVertex &    v1,
deFloat    f
)  [inline, static]
 

compute the scalar product of a deVertex and a floating-point value (overloaded operator*)

deVec3d operator * (  const deVec3d &    v1,
deDouble    d
)  [inline, static]
 

compute the scalar product of a deVec3d and a floating-point value (overloaded operator*)

void operator *= (  deColor &    lhs,
const deColor &    rhs
)  [inline, static]
 

multiply each component of a deColor by the corresponding component of another

void operator *= (  deTexCoord &    v1,
deFloat    d
)  [inline, static]
 

void operator *= (  deVertex &    v1,
deFloat    d
)  [inline, static]
 

multiply a deVertex by a scalar value (overloaded operator*=)

void operator *= (  deVec3d &    v1,
deDouble    d
)  [inline, static]
 

multiply a deVec3d by a scalar value (overloaded operator*=)

deTexCoord operator+ (  const deTexCoord &    v1,
const deTexCoord &    v2
)  [inline, static]
 

deVertex operator+ (  const deVertex &    v1,
const deVertex &    v2
)  [inline, static]
 

compute the component sum of two deVertex (overloaded operator+)

deVec3d operator+ (  const deVec3d &    v1,
const deVec3d &    v2
)  [inline, static]
 

compute the component sum of two deVec3d (overloaded operator+)

void operator+= (  deTexCoord &    v1,
const deTexCoord &    v2
)  [inline, static]
 

void operator+= (  deVertex &    v1,
const deVertex &    v2
)  [inline, static]
 

add a deVertex to another one (overloaded operator+=)

void operator+= (  deVec3d &    v1,
const deVec3d &    v2
)  [inline, static]
 

add a deVec3d to another one (overloaded operator+=)

deTexCoord operator- (  const deTexCoord &    v1,
const deTexCoord &    v2
)  [inline, static]
 

deVertex operator- (  const deVertex &    v1,
const deVertex &    v2
)  [inline, static]
 

compute the component difference between two deVertex (overloaded operator-)

deVertex operator- (  const deVertex &    v )  [inline, static]
 

compute the inverse of a deVertex (overloaded operator-)

deVec3d operator- (  const deVec3d &    v1,
const deVec3d &    v2
)  [inline, static]
 

compute the component difference between two deVec3d (overloaded operator-)

deVec3d operator- (  const deVec3d &    v )  [inline, static]
 

compute the inverse of a deVec3d (overloaded operator-)

void operator-= (  deTexCoord &    v1,
const deTexCoord &    v2
)  [inline, static]
 

void operator-= (  deVertex &    v1,
const deVertex &    v2
)  [inline, static]
 

subtract a deVertex from another one (overloaded operator-=)

void operator-= (  deVec3d &    v1,
const deVec3d &    v2
)  [inline, static]
 

subtract a deVec3d from another one (overloaded operator-=)

void operator/= (  deTexCoord &    v1,
deFloat    d
)  [inline, static]
 

void operator/= (  deVertex &    v1,
deFloat    d
)  [inline, static]
 

divide a deVertex by a scalar value (overloaded operator/=)

void operator/= (  deVec3d &    v1,
deDouble    d
)  [inline, static]
 

divide a deVec3d by a scalar value (overloaded operator/=)

template<typename T>
T SQUARE (  T    x )  [inline, static]
 

deBoolean Vec3d_Compare (  const deVec3d &    v1,
const deVec3d &    v2,
deDouble    epsilon = 0.00001
)  [inline, static]
 

compare equality of two deVec3d, within some Epsilon value

deBoolean Vec3d_CompareOpposite (  const deVec3d &    v1,
const deVec3d &    v2,
deDouble    epsilon = 0.00001
)  [inline, static]
 

compare exact opposite equality of two deVec3d, within some Epsilon value

deARGB Vec3d_ConvertToDot3 (  const deVec3d &    V1,
deFloat    Height
) 
 

compute the 32-bit deARGB value for a normalized deVec3d (for dot3 bumpmapping)

deARGB Vec3d_ConvertToDot3Clamp (  const deVec3d &    V1,
deFloat    Height
) 
 

deVec3d Vec3d_Cross (  const deVec3d &    V1,
const deVec3d &    V2
)  [inline, static]
 

void Vec3d_Cross (  const deVertex &    V1,
const deVertex &    V2,
deVertex &    Result
) 
 

compute the cross product of two deVertex

void Vec3d_Cross (  const deVec3d &    V1,
const deVec3d &    V2,
deVec3d &    Result
) 
 

compute the cross product of two deVec3d

deFloat Vec3d_Dist (  const deVertex &    v1,
const deVertex &    v2
)  [inline, static]
 

compute the distance between two deVertex

deDouble Vec3d_Dist (  const deVec3d &    v1,
const deVec3d &    v2
)  [inline, static]
 

compute the distance between two deVec3d

deFloat Vec3d_DistSq (  const deVertex &    v1,
const deVertex &    v2
)  [inline, static]
 

compute the square of the distance between two deVertex

deDouble Vec3d_DistSq (  const deVec3d &    v1,
const deVec3d &    v2
)  [inline, static]
 

compute the square of the distance between two deVec3d

deFloat Vec3d_Dot (  const deVertex &    v1,
const deVertex &    v2
)  [inline, static]
 

compute the dot-product of two deVertex (deFloat components)

deDouble Vec3d_Dot (  const deVec3d &    v1,
const deVec3d &    v2
)  [inline, static]
 

compute the dot-product of two deVec3d (deDouble components)

deDouble& Vec3d_GetElement (  const deVec3d &    v,
long    i
)  [inline, static]
 

obtain a reference to an indexed value inside a 3d vector (valid index values: {0,1,2}, map to {x,y,z})

deDouble Vec3d_Length (  const deVec3d &    v )  [inline, static]
 

length of a deVec3d

deDouble Vec3d_LengthSq (  const deVec3d &    v )  [inline, static]
 

squared length of a deVec3d

deDouble Vec3d_Normalize (  deVec3d &    V ) 
 

normalize a deVec3d

Returns:
the length of the original vector

void Vec3d_ScaleByVec (  deVec3d &    v1,
const deVec3d &    v2
)  [inline, static]
 

multiply each component of a deVec3d by the corresponding component of another

void Vec3d_Squeeze (  deVec3d &    v,
deDouble    Epsilon = 0.00001
) 
 

"squeeze" the components of a deVec3d: if they are within Epsilon units of zero, set them to zero. Useful for getting "perfect" orthographic orientations after moving around a bit

deFloat Vertex_Normalize (  deVertex &    V ) 
 

normalize a deVertex

Returns:
the length of the original vector

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