Levente Uzonyi uploaded a new version of Morphic to project The Trunk: http://source.squeak.org/trunk/Morphic-ul.557.mcz
==================== Summary ====================
Name: Morphic-ul.557 Author: ul Time: 25 July 2011, 11:25:48.544 am UUID: 1722d2af-9a53-8645-bd3b-10277d1f4e36 Ancestors: Morphic-ul.556
Added a missing whitespace.
=============== Diff against Morphic-ul.556 ===============
Item was changed: ----- Method: SequenceableCollection>>closedCubicSlopes (in category '*Morphic-NewCurves-cubic support') ----- closedCubicSlopes "Sent to knots returns the slopes of a closed cubic spline. From the same set of java sources as naturalCubic. This is a squeak transliteration of the java code." "from java code NatCubicClosed extends NatCubic solves for the set of equations for all knots: b1+4*b2+b3=3*(a3-a1) where a1 is (knots atWrap: index + 1) etc. and the b's are the slopes . by decomposing the matrix into upper triangular and lower matrices and then back sustitution. See Spath 'Spline Algorithms for Curves and Surfaces' pp 19--21. The D[i] are the derivatives at the knots. " | v w x y z n1 D F G H | n1 := self size. n1 < 3 ifTrue: [self error: 'Less than 3 points makes a poor curve']. v := Array new: n1. w := Array new: n1. y := Array new: n1. D := Array new: n1. x := self. z := 1.0 / 4.0. v at: 2 put: z. w at: 2 put: z. y at: 1 put: z * 3.0 * ((x at: 2) - (x at: n1)). H := 4.0. F := 3 * ((x at: 1) - (x at: n1 - 1)). G := 1. 2 to: n1 - 1 do: [:k | z := 1.0 / (4.0 - (v at: k)). v at: k + 1 put: z. w at: k + 1 put: z negated * (w at: k). y at: k put: z * (3.0 * ((x at: k + 1) - (x at: k - 1)) - (y at: k - 1)). H := H - (G * (w at: k)). F := F - (G * (y at: k - 1)). G := (v at: k) negated * G]. H := H - (G + 1 * ((v at: n1) + (w at: n1))). y at: n1 put: F - (G + 1 * (y at: n1 - 1)). D at: n1 put: (y at: n1) / H. D at: n1 - 1 put: (y at: n1 - 1) - ((v at: n1) + (w at: n1) * (D at: n1)). + n1 - 2 to: 1 by: -1 do: [ :k | - n1 -2 to: 1 by: -1 do: [ :k | D at: k put: (y at: k) - ((v at: k + 1) * (D at: k + 1)) - ((w at: k + 1) * (D at: n1))]. ^ D .!