pwu::Vector3 affine s vec1 vec2 |

Return a vector that is the affine combination of two vectors

#### Parameters

s | the affine scalar |

vec1 | the first vector |

vec2 | the second vector |

#### Returns

A linearly interpolated point along the directed line from vec1 to vec2. An s of 0.0 returns vec1 and and s of 1.0 returns vec2. Values of s less than 0.0 and greater than 1.0 are valid. When s is less than 0.0, the point returned would be before vec1. When s is greater than 1.0, the point returned would be after vec2.

#### Example

Code

# Capture extents of all database entities

lassign [pw::Database getExtents] minExt maxExt

# Compute extents centroid

set centroidPt [pwu::Vector3 affine 0.5 $minExt $maxExt]

# Enlarge extents diagonal by 10%

set minExt10 [pwu::Vector3 affine -0.1 $minExt $maxExt]

set maxExt10 [pwu::Vector3 affine 1.1 $minExt $maxExt]

puts "minExt : [list $minExt]"

puts "maxExt : [list $maxExt]"

puts "centroidPt : [list $centroidPt]"

puts "minExt10 : [list $minExt10]"

puts "maxExt10 : [list $maxExt10]"

Output

minExt : {10.000170704427509 -14.405848937908303 -9.049999999999983}

maxExt : {40.0 65.59615106209186 50.95000000000002}

centroidPt : {25.000085352213755 25.59515106209178 20.950000000000017}

minExt10 : {7.000187774870261 -22.40604893790832 -15.049999999999985}

maxExt10 : {42.99998292955725 73.59635106209188 56.950000000000024}