Vec3

Description

Represents positions, rotations, size, 3D vectors, and points. Contains functions for doing common vector operations.

Properties

 magnitude The length of this vector (Read Only). normalized The vector sized to a magnitude of 1 (Read Only). x X component of the vector. y Y component of the vector. z Z component of the vector.

Methods

 angle Finds the angle between this vector and another (degrees). cross Finds the cross product of this vector and another. dot Finds the dot product of this vector and another. lerp Linearly interpolates between two vectors. project Transforms the vector from one coordinate space to another. projectRotation Transforms the vector, interpreted as a rotation, from one coordinate space to another.

Constructor

 Vec3 Constructs a vector by xyz component values.

Operators

 - Subtracts one vector from another. != Compares two vectors. * Multiplies a vector by another vector or a scale factor. / Divides a vector by another vector or a scale factor. + Adds two vectors together. += Assigns the vector to be the sum of two vectors. -= Assigns the vector to be the difference of two vectors. == Compares two vectors. unary - Negates the vector.

Details

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Description

The length of this vector (Read Only).

The length of the vector is calculated as the square root of (x*x+y*y+z*z).

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Description

The vector sized to a magnitude of 1 (Read Only).

A copy of the original vector that points in the same direction, but has a length of 1.

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Description

X component of the vector.

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Description

Y component of the vector.

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Description

Z component of the vector.

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Vec3.angle()

 double angle( Vec3 otherVec )

Parameters

 otherVec The angle extends round to this vector.

Returns

 double The angle between the two vectors in degrees.

Description

Finds the angle between this vector and another (degrees).

`double angle = myVector.angle(Vec3(1, 2, 3));`
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Vec3.cross()

 Vec3 cross( Vec3 otherVec )

Parameters

 otherVec The vector to cross with this vector.

Returns

 Vec3 The cross product (Vec3) of the two vectors.

Description

Finds the cross product of this vector and another.

`Vec3 cross = myVector.cross(Vec3(1, 2, 3));`

The cross product of two vectors is a vector perpendicular to the two input vectors. Since there are two possible perpendicular vectors, the direction is determined by the "left hand rule". This means that crossing vector1 with vector2 will produce the opposite of crossing vector2 with vector1. The magnitude of the new vector is equal to the magnitudes of the two inputs multiplied together and then multiplied by the sine of the angle between the inputs.

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Vec3.dot()

 double dot( Vec3 otherVec )

Parameters

 otherVec The vector to dot with this vector.

Returns

 double The dot product (double) of the two vectors.

Description

Finds the dot product of this vector and another.

`double dot = myVector.dot(Vec3(1, 2, 3));`

The dot product of two vectors is a number equal to the magnitudes of the two vectors multiplied together and then multiplied by the cosine of the angle between them.

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Vec3.lerp()

 Vec3 lerp( Vec3 otherVec , double t )

Parameters

 otherVec The vector to interpolate to. t A ratio between 0 and 1 that defines the percentage to interpolate from the current vector to otherVec.

Returns

 Vec3 The resulting interpolated vector.

Description

Linearly interpolates between two vectors.

The following example code changes current's location 20% towards the other object.

`current.location = current.location.lerp(otherObj.location, 0.2);`
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Vec3.project()

 Vec3 project( treenode from , treenode to )

Parameters

 from The treenode representing the coordinate space to project from. to The treenode representing the coordinate space to project to.

Returns

 Vec3 The projected vector.

Description

Transforms the vector from one coordinate space to another.

Takes the vector in from's coordinate space, translates this vector onto to's coordinate space, and returns the projected vector.

The vector is taken from the origin point of from's coordinate space. The origin is the (0,0,0) point of the coordinate space and is often located in the top left corner of an object's coordinate space.

It is important to understand the way the axes work in FlexSim. The X and Y axes form the floor grid plane while the Z axis is equivalent to the height. Also objects y size values stretch in the -y direction, but stretch in the positive direction on both the X and Z axes. In other words an object at location (0,5,0) with a size of (1,2,3) will stretch from x location 0 to 1, y location 5 to 3 and z location 0 to 3.

`Vec3 globalLoc = Vec3(5, 3, 0).project(current, model());`

This example finds out the global location of the position (5,3,0) in current's coordinate space.

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Vec3.projectRotation()

 Vec3 projectRotation( treenode from , treenode to )

Parameters

 from The treenode representing the coordinate space to project from. to The treenode representing the coordinate space to project to.

Returns

 Vec3 The projected rotation.

Description

Transforms the vector, interpreted as a rotation, from one coordinate space to another.

Takes the vector, interpreted as a rotation in from's coordinate space, translates this vector onto to's coordinate space, and returns the projected rotation.

`Vec3 globalRot = current.rotation.project(current.up, model());`

This example finds out the rotation of current, projected onto the model's space.

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Vec3 Constructor

 Vec3( double x , double y , double z ) Vec3( double value )

Parameters

 x The x component. y The y component. z The z component. value A value all components will be set to.

Description

Constructs a vector by xyz component values.

`current.location = Vec3(1, 2, 3);``current.location = Vec3(0);`
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Vec3.operator -

 Vec3 operator -( Vec3 otherVec )

Parameters

 otherVec The vector to subtract from this one.

Returns

 Vec3 The resulting vector.

Description

Subtracts one vector from another.

Each component has the corresponding component subtracted from it.

`current.location = someVector - anotherVector;`
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Vec3.operator !=

 int operator !=( Vec3 otherVec )

Parameters

 otherVec The vector to compare to this vector.

Returns

 int True if the two vectors are different, false otherwise.

Description

Compares two vectors.

`int isNotZero = current.location != Vec3(0, 0, 0);`
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Vec3.operator *

 Vec3 operator *( Vec3 otherVec ) Vec3 operator *( double factor )

Parameters

 otherVec The vector to multiply this vector by. factor A scale factor to multiply each component by.

Returns

 Vec3 The resulting vector.

Description

Multiplies a vector by another vector or a scale factor.

When a Vec3 is passed, the operation will perform per-component multiplication.

`current.location = someVector * anotherVector;``current.location = someVector * 1.2;`
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Vec3.operator /

 Vec3 operator /( Vec3 otherVec ) Vec3 operator /( double factor )

Parameters

 otherVec The vector to divide this vector by. factor A scale factor to divide each component by.

Returns

 Vec3 The resulting vector.

Description

Divides a vector by another vector or a scale factor.

When a Vec3 is passed, the operation will perform per-component division.

`current.location = someVector / anotherVector;``current.location = someVector / 1.2;`
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Vec3.operator +

 Vec3 operator +( Vec3 otherVec )

Parameters

 otherVec The vector to add to this one.

Returns

 Vec3 The resulting vector.

Description

Each component is added to the corresponding component.

`current.location = someVector + anotherVector;`
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Vec3.operator +=

 Vec3 operator +=( Vec3 otherVec )

Parameters

 otherVec The vector to add to this one.

Returns

 Vec3 The resulting vector.

Description

Assigns the vector to be the sum of two vectors.

Each component is added to the corresponding component.

`current.location += someVector;`
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Vec3.operator -=

 Vec3 operator -=( Vec3 otherVec )

Parameters

 otherVec The vector to subtract from this one.

Returns

 Vec3 The resulting vector.

Description

Assigns the vector to be the difference of two vectors.

Each component has the corresponding component subtracted from it.

`current.location -= someVector;`
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Vec3.operator ==

 int operator ==( Vec3 otherVec )

Parameters

 otherVec The vector to compare to this vector.

Returns

 int True if both vectors are exactly the same, false otherwise.

Description

Compares two vectors.

`int isZero = current.location == Vec3(0, 0, 0);`
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Vec3.operator unary -

 Vec3 operator unary -( )

Returns

 Vec3 The resulting vector.

Description

Negates the vector.

Each component is negated.

`current.location = -current.location;`