TYPED:: m4^n ( m: matrix4 n: fixnum -- m^n: matrix4 )
identity-matrix4 n [ m m4. ] times ;
+: vmerge-diagonal* ( x y -- h t )
+ [ vmerge-head ] [ swap vmerge-tail ] 2bi ; inline
: vmerge-diagonal ( x -- h t )
- 0.0 float-4-with [ vmerge-head ] [ swap vmerge-tail ] 2bi ; inline
+ 0.0 float-4-with vmerge-diagonal* ;
TYPED: diagonal-matrix4 ( diagonal: float-4 -- matrix: matrix4 )
[ vmerge-diagonal [ vmerge-diagonal ] bi@ ] make-matrix4 ;
float-4{ 1.0 1.0 1.0 1.0 } swap v/ scale-matrix4 ; inline
TYPED:: translation-matrix4 ( offset: float-4 -- matrix: matrix4 )
- matrix4 (struct) :> c
-
- float-4{ 0.0 0.0 0.0 1.0 } :> c4
- float-4{ t t t f } offset c4 v? :> offset'
+ [
+ float-4{ 1.0 1.0 1.0 1.0 } :> diagonal
- offset' { 3 3 3 0 } vshuffle float-4{ t f f t } vbitand
- offset' { 3 3 3 1 } vshuffle float-4{ f t f t } vbitand
- offset' { 3 3 3 2 } vshuffle float-4{ f f t t } vbitand
- c4
+ offset 0 float-4-with vmerge
+ [ 0 float-4-with swap vmerge ] bi@ drop :> z :> y :> x
- c set-rows ;
+ diagonal y vmerge-diagonal*
+ [ x vmerge-diagonal* ]
+ [ z vmerge-diagonal* ] bi*
+ ] make-matrix4 ;
TYPED:: rotation-matrix4 ( axis: float-4 theta: float -- matrix: matrix4 )
! x*x + c*(1.0 - x*x) x*y*(1.0 - c) - s*z x*z*(1.0 - c) + s*y 0