SUBSYSTEM OVERVIEW

Math (MTH) Subsystem

The MTH subsystem provides functions for the manipulation of vectors, matrices, etc.

VECTOR FUNCTIONS

The vector functions performs basic operation on vector data types. Most of the functions can work on vectors of any dimensionality. The following functions are available:

mth_AddVector Adds two vectors mth_CrossVector Computes cross product of two vectors mth_DivideVector Divides a vector by a scalar mth_DotVector Computes dot product of two vectors mth_GetVectorMag Computes magnitude of a vector mth_MakeVector Generates a vector from two points mth_MutiplyVector Multiplies a vector and a scalar mth_RotateVector2D Rotates a 2D vector mth_SubtractVector Subtract a vector from another vector mth_UnitizeVector Unitizes a vector

See the manual pages for the full bindings.

GENERAL FUNCTIONS

These are general purpose math functions. The following functions are available:

mth_AveragePoints

Find the average point of a set of points

mth_CosineTwoVectors

Compute the cosine of the angle between two vectors.

mth_CheckColin

Check if three points are colinear

mth_CheckCoinPoint

Check for the coincidence of two points

mth_CheckCoinPointsTol

Check for the coincidence of two points using tolerance

mth_CheckDirColin

Check if three points are directionally colinear

mth_CompareDouble

Check two double arrays for equality

mth_FindMinMaxCoord

Find the minimium and maximium coordinate values

mth_FindActiveRanges

Find active ranges of MinMax boxes in a specified dimension

mth_FindTwoPerpAxesToAxis

Find two perpendicular vectors (unit) to a unit vector

mth_Get2DArea

Get the area of a 2D point set assuming counterclockwise orientation

mth_GetAngle2DPoint

Get the angle between X axis and the line through a point and the origin

mth_GetAngleSinCos

Calculate and round sin and cos of an angle

mth_GetAtan2

Compute adjusted angle of a specified point

mth_GetAxisMatrix

Get a 3X3 rotation matrix defined by an axis and the angle or rotation about the axis

mth_GetDistance

Compute distance between two points

mth_GetFactorial

Determine the factorial of a number

mth_GetIdentMatrix

Build a nXm identity matrix

mth_GetLineStringInter2D

Find all of the 2D intersections between a specified line segment and a set of linear strings

mth_GetPlanePntMatrix

Get the matrix for a plane defined by three points

mth_GetPntPlaneMatrix

Get a 3X3 rotation matrix for a three point plane

mth_GetRotMatrixFromPlaneNorm

Get a 3X3 rotation matrix defined by the normal to plane

mth_GetRotMatrixFromPnts

Get the 3X3 rotation matrix defined by the plane of the points

mth_GetSign

Get the sign of a value

mth_GetVectorRadPoint

Get the radius and the projected point from the projection of a point to a vector through a point

mth_GetSquaredDistance

Compute squared distance between two points

mth_HorizontalLineLoopIntersect

Find the intersection points between a horizontal line and a loop

mth_InsertPoint2D

Insert a 2D point into an array of points after pntno location

mth_Intersect2DLines

Intersect two parametric lines in the xy-plane

mth_InterSect3DLines

Intersect two 3 space lines

mth_LeastSquaresLine2D

Compute the least squares line through a set of 2D points

mth_LoopInnerOuter

Check for the relation of two non-intersecting loops

mth_MatrixGlobalToLocalSys

Find the transformation matrix from the global to a local system

mth_MatrixInverse

Find the inverse of a square matrix

mth_MatrixLocalToGlobalSys

Find the transformation matrix from a local to the global system

mth_MatrixProduct

Find the product of two matrices

mth_MatrixRotateAboutAxis

Find the transformation matrix for a rotation about an axis

mth_MatrixTranslateAlongAxis

Find the transformation matrix for a translation along an axis

mth_MatrixTranspose

Find the transpose of a matrix

mth_OffsetPointAlongAxis

Translate a 3D point along a specified direction

mth_PointInLoop

Determine if a 2D point is outside, on, or inside a loop of 2D points

mth_PointInPlane

Find least squares plane of points and test points for planarity

mth_PointIn3PtPlane

Check if a points is in a plane defined by three points

mth_PointsCollinear

Check if a set of points all line on a straight line

mth_PointToPlane

Find the projection of a point to a plane

mth_PointToLine

Find the projection of a 3D point to a 3D line

mth_PointToLine2D

Find the projection of a 2D point to a 2D line

mth_PointToLineDistProjParm

Find the projection of a point to a line

mth_SolveTwoLinearEqs

Solve two linear equations in two unknowns

mth_SortInteger

Sort an array of integer values in ascending/descending order

mth_SortDouble

Sort an array of double values in ascending/descending order

mth_SortDoubleArrayByBubble

Sort a 2-D double array with a 1-D integer array

mth_SweepAnglesContPoints

Find the sweeping angles of a set of continuous points on XY plane

mth_SweepAnglesMerge

Merge sweeping angles

mth_SweepAnglesLoop

Find the sweeping angles of a closed loop

mth_TransformPoint

Transform a 3D point through a matrix

mth_TransformVector

Transform a 3D vector through a matrix

mth_VerticalLineLoopIntersect

Find the intersection points between a vertical line and a loop

See the manual pages for the full bindings.