Math
[Core]

Functions for dealing with vectors and matrices etc. More...

Modules
	Vector Math
	Functions for working with three-dimensional vectors (VectorF/Point3F).
	Matrix Math
	Functions for working with matrices (MatrixF, AngAxisF, MatrixRotation, MatrixPosition).
	Random Numbers
	Functions for generating random numbers.
Functions
Point3F	getBoxCenter (Box3F box)
	Get the center point of an axis-aligned box.
float	getMax (float v1, float v2)
	Calculate the greater of two specified numbers.
float	getMin (float v1, float v2)
	Calculate the lesser of two specified numbers.
float	m2Pi ()
	Return the value of 2*PI (full-circle in radians).
float	mAbs (float v)
	Calculate absolute value of specified value.
float	mAcos (float v)
	Calculate the arc-cosine of v.
float	mAsin (float v)
	Calculate the arc-sine of v.
float	mAtan (float rise, float run)
	Calculate the arc-tangent (slope) of a line defined by rise and run.
void	mathInit (...)
	Install the math library with specified extensions.
int	mCeil (float v)
	Round v up to the nearest integer.
float	mClamp (float v, float min, float max)
	Clamp the specified value between two bounds.
float	mCos (float v)
	Calculate the cosine of v.
float	mDegToRad (float degrees)
	Convert specified degrees into radians.
string	mFloatLength (float v, int precision)
	Formats the specified number to the given number of decimal places.
int	mFloor (float v)
	Round v down to the nearest integer.
float	mFMod (float v, float d)
	Calculate the remainder of v/d.
bool	mIsPow2 (int v)
	Returns whether the value is an exact power of two.
float	mLerp (float v1, float v2, float time)
	Calculate linearly interpolated value between two specified numbers using specified normalized time.
float	mLog (float v)
	Calculate the natural logarithm of v.
float	mPi ()
	Return the value of PI (half-circle in radians).
float	mPow (float v, float p)
	Calculate b raised to the p-th power.
float	mRadToDeg (float radians)
	Convert specified radians into degrees.
int	mRound (float v)
	Round v to the nearest integer.
float	mSaturate (float v)
	Clamp the specified value between 0 and 1 (inclusive).
float	mSin (float v)
	Calculate the sine of v.
string	mSolveCubic (float a, float b, float c, float d)
	Solve a cubic equation (3rd degree polynomial) of form ax^3 + bx^2 + c*x + d = 0.
string	mSolveQuadratic (float a, float b, float c)
	Solve a quadratic equation (2nd degree polynomial) of form ax^2 + bx + c = 0.
string	mSolveQuartic (float a, float b, float c, float d, float e)
	Solve a quartic equation (4th degree polynomial) of form ax^4 + bx^3 + cx^2 + dx + e = 0.
float	mSqrt (float v)
	Calculate the square-root of v.
float	mTan (float v)
	Calculate the tangent of v.

Detailed Description

Functions for dealing with vectors and matrices etc.

Function Documentation

Point3F getBoxCenter ( Box3F box )

Get the center point of an axis-aligned box.

Parameters:

b

A Box3F, in string format using "minExtentX minExtentY minExtentZ maxExtentX maxExtentY maxExtentZ"

Returns:: Center of the box.

float getMax	(	float	v1,
		float	v2
	)

Calculate the greater of two specified numbers.

Parameters:

	v1	Input value.
	v2	Input value.

Returns:: The greater value of the two specified values.

float getMin	(	float	v1,
		float	v2
	)

Calculate the lesser of two specified numbers.

Parameters:

	v1	Input value.
	v2	Input value.

Returns:: The lesser value of the two specified values.

float m2Pi ( )

Return the value of 2*PI (full-circle in radians).

Returns:: The value of 2*PI.

float mAbs ( float v )

Calculate absolute value of specified value.

Parameters:

v

Input Value.

Returns:: Absolute value of specified value.

float mAcos ( float v )

Calculate the arc-cosine of v.

Parameters:

v

Input Value (in radians).

Returns:: The arc-cosine of the input value.

float mAsin ( float v )

Calculate the arc-sine of v.

Parameters:

v

Input Value (in radians).

Returns:: The arc-sine of the input value.

float mAtan	(	float	rise,
		float	run
	)

Calculate the arc-tangent (slope) of a line defined by rise and run.

Parameters:

	rise	of line.
	run	of line.

Returns:: The arc-tangent (slope) of a line defined by rise and run.

void mathInit ( ... )

Install the math library with specified extensions.

Possible parameters are:

'DETECT' Autodetect math lib settings.

'C' Enable the C math routines. C routines are always enabled.

'FPU' Enable floating point unit routines.

'MMX' Enable MMX math routines.

'3DNOW' Enable 3dNow! math routines.

'SSE' Enable SSE math routines.

int mCeil ( float v )

Round v up to the nearest integer.

Parameters:

v

Number to convert to integer.

Returns:: Number converted to integer.

float mClamp	(	float	v,
		float	min,
		float	max
	)

Clamp the specified value between two bounds.

Parameters:

	v	Input value.
	min	Minimum Bound.
	max	Maximum Bound.

Returns:: The specified value clamped to the specified bounds.

float mCos ( float v )

Calculate the cosine of v.

Parameters:

v

Input Value (in radians).

Returns:: The cosine of the input value.

float mDegToRad ( float degrees )

Convert specified degrees into radians.

Parameters:

degrees

Input Value (in degrees).

Returns:: The specified degrees value converted to radians.

string mFloatLength	(	float	v,
		int	precision
	)

Formats the specified number to the given number of decimal places.

Parameters:

	v	Number to format.
	precision	Number of decimal places to format to (1-9).

Returns:: Number formatted to the specified number of decimal places.

int mFloor ( float v )

Round v down to the nearest integer.

Parameters:

v

Number to convert to integer.

Returns:: Number converted to integer.

float mFMod	(	float	v,
		float	d
	)

Calculate the remainder of v/d.

Parameters:

	v	Input Value.
	d	Divisor Value.

Returns:: The remainder of v/d.

bool mIsPow2 ( int v )

Returns whether the value is an exact power of two.

Parameters:

v

Input value.

Returns:: Whether the specified value is an exact power of two.

float mLerp	(	float	v1,
		float	v2,
		float	time
	)

Calculate linearly interpolated value between two specified numbers using specified normalized time.

Parameters:

	v1	Interpolate From Input value.
	v2	Interpolate To Input value.
	time	Normalized time used to interpolate values (0-1).

Returns:: The interpolated value between the two specified values at normalized time t.

float mLog ( float v )

Calculate the natural logarithm of v.

Parameters:

v

Input Value.

Returns:: The natural logarithm of the input value.

float mPi ( )

Return the value of PI (half-circle in radians).

Returns:: The value of PI.

float mPow	(	float	v,
		float	p
	)

Calculate b raised to the p-th power.

Parameters:

	v	Input Value.
	p	Power to raise value by.

Returns:: v raised to the p-th power.

float mRadToDeg ( float radians )

Convert specified radians into degrees.

Parameters:

radians

Input Value (in radians).

Returns:: The specified radians value converted to degrees.

int mRound ( float v )

Round v to the nearest integer.

Parameters:

v

Number to convert to integer.

Returns:: Number converted to integer.

float mSaturate ( float v )

Clamp the specified value between 0 and 1 (inclusive).

Parameters:

v

Input value.

Returns:: The specified value clamped between 0 and 1 (inclusive).

float mSin ( float v )

Calculate the sine of v.

Parameters:

v

Input Value (in radians).

Returns:: The sine of the input value.

string mSolveCubic	(	float	a,
		float	b,
		float	c,
		float	d
	)

Solve a cubic equation (3rd degree polynomial) of form a*x^3 + b*x^2 + c*x + d = 0.

Parameters:

	a	First Coefficient.
	b	Second Coefficient.
	c	Third Coefficient.
	d	Fourth Coefficient.

Returns:: A 4-tuple, containing: (sol x0 x1 x2). (sol) is the number of solutions(being 0, 1, 2 or 3), and (x0), (x1) and (x2) are the solutions, if any.

string mSolveQuadratic	(	float	a,
		float	b,
		float	c
	)

Solve a quadratic equation (2nd degree polynomial) of form a*x^2 + b*x + c = 0.

Parameters:

	a	First Coefficient.
	b	Second Coefficient.
	c	Third Coefficient.

Returns:: A triple, containing: (sol x0 x1). (sol) is the number of solutions(being 0, 1, or 2), and (x0) and (x1) are the solutions, if any.

string mSolveQuartic	(	float	a,
		float	b,
		float	c,
		float	d,
		float	e
	)

Solve a quartic equation (4th degree polynomial) of form a*x^4 + b*x^3 + c*x^2 + d*x + e = 0.

Parameters:

	a	First Coefficient.
	b	Second Coefficient.
	c	Third Coefficient.
	d	Fourth Coefficient.
	e	Fifth Coefficient.

Returns:: A 5-tuple, containing: (sol x0 x1 x2 c3). (sol) is the number of solutions(being 0, 1, 2, 3 or 4), and (x0), (x1), (x2) and (x3) are the solutions, if any.

float mSqrt ( float v )

Calculate the square-root of v.

Parameters:

v

Input Value.

Returns:: The square-root of the input value.

float mTan ( float v )

Calculate the tangent of v.

Parameters:

v

Input Value (in radians).

Returns:: The tangent of the input value.

Math [Core]

Modules

Functions

Detailed Description

Function Documentation

Math
[Core]