Merge branch 'master' of git://factorcode.org/git/factor
commit
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@ -1,7 +1,8 @@
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! Copyright (C) 2005, 2009 Slava Pestov.
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! See http://factorcode.org/license.txt for BSD license.
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USING: accessors arrays columns kernel math math.bits
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math.order math.vectors sequences sequences.private fry ;
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USING: accessors arrays columns kernel locals math math.bits
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math.functions math.order math.vectors sequences
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sequences.private fry ;
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IN: math.matrices
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! Matrices
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@ -12,6 +13,70 @@ IN: math.matrices
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#! Make a nxn identity matrix.
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dup [ [ = 1 0 ? ] with map ] curry map ;
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:: rotation-matrix3 ( axis theta -- matrix )
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theta cos :> c
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theta sin :> s
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axis first3 :> z :> y :> x
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x sq 1.0 x sq - c * + x y * 1.0 c - * z s * - x z * 1.0 c - * y s * + 3array
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x y * 1.0 c - * z s * + y sq 1.0 y sq - c * + y z * 1.0 c - * x s * - 3array
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x z * 1.0 c - * y s * - y z * 1.0 c - * x s * + z sq 1.0 z sq - c * + 3array
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3array ;
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:: rotation-matrix4 ( axis theta -- matrix )
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theta cos :> c
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theta sin :> s
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axis first3 :> z :> y :> x
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x sq 1.0 x sq - c * + x y * 1.0 c - * z s * - x z * 1.0 c - * y s * + 0 4array
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x y * 1.0 c - * z s * + y sq 1.0 y sq - c * + y z * 1.0 c - * x s * - 0 4array
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x z * 1.0 c - * y s * - y z * 1.0 c - * x s * + z sq 1.0 z sq - c * + 0 4array
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{ 0.0 0.0 0.0 1.0 } 4array ;
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:: translation-matrix4 ( offset -- matrix )
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offset first3 :> z :> y :> x
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{
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{ 1.0 0.0 0.0 x }
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{ 0.0 1.0 0.0 y }
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{ 0.0 0.0 1.0 z }
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{ 0.0 0.0 0.0 1.0 }
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} ;
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: >scale-factors ( number/sequence -- x y z )
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dup number? [ dup dup ] [ first3 ] if ;
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:: scale-matrix3 ( factors -- matrix )
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factors >scale-factors :> z :> y :> x
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{
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{ x 0.0 0.0 }
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{ 0.0 y 0.0 }
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{ 0.0 0.0 z }
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} ;
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:: scale-matrix4 ( factors -- matrix )
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factors >scale-factors :> z :> y :> x
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{
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{ x 0.0 0.0 0.0 }
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{ 0.0 y 0.0 0.0 }
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{ 0.0 0.0 z 0.0 }
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{ 0.0 0.0 0.0 1.0 }
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} ;
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: ortho-matrix4 ( dim -- matrix )
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[ recip ] map scale-matrix4 ;
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:: frustum-matrix4 ( xy-dim near far -- matrix )
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xy-dim first2 :> y :> x
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near x /f :> xf
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near y /f :> yf
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near far + near far - /f :> zf
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2 near far * * near far - /f :> wf
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{
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{ xf 0.0 0.0 0.0 }
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{ 0.0 yf 0.0 0.0 }
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{ 0.0 0.0 zf wf }
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{ 0.0 0.0 -1.0 0.0 }
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} ;
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! Matrix operations
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: mneg ( m -- m ) [ vneg ] map ;
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@ -13,7 +13,7 @@ VARIANT: class-name
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.
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.
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; "> }
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{ $description "Defines " { $snippet "class-name" } " as a union of the following " { $link singleton-class } " and " { $link tuple-class } " definitions. Each " { $snippet "singleton" } " word is defined as a " { $snippet "singleton-class" } ", and each " { $snippet "tuple" } " word is defined aas a " { $snippet "tuple-class" } " with the given set of " { $snippet "slot" } "s, using the same syntax for slot specifiers as " { $link POSTPONE: TUPLE: } ". Typed tuple slots are able to recursively reference the variant " { $snippet "class-name" } " being defined. For " { $snippet "tuple" } " types, a " { $link boa } " constructor word " { $snippet "<tuple>" } " is defined as well." }
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{ $description "Defines " { $snippet "class-name" } " as a union of the following " { $link singleton-class } " and " { $link tuple-class } " definitions. Each " { $snippet "singleton" } " word is defined as a " { $snippet "singleton-class" } ", and each " { $snippet "tuple" } " word is defined aas a " { $snippet "tuple-class" } " with the given set of " { $snippet "slot" } "s, using the same syntax for slot specifiers as " { $link POSTPONE: TUPLE: } ". Typed tuple slots can recursively reference the variant " { $snippet "class-name" } " being defined. For " { $snippet "tuple" } " types, a " { $link boa } " constructor word " { $snippet "<tuple>" } " is defined as well." }
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{ $examples { $code <"
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USING: kernel variants ;
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IN: scratchpad
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@ -26,7 +26,7 @@ VARIANT: list
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HELP: match
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{ $values { "branches" array } }
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{ $description "Dispatches on the type of the value on the top of the stack. If the type is a " { $link singleton-class } ", the corresponding quotation is called with an empty stack. If the type is a " { $link tuple-class } ", the tuple slots are pushed onto the stack by order of arguments." }
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{ $description "Dispatches on the type of the value on the top of the stack. If the type is a " { $link singleton-class } ", the corresponding quotation is called with the underlying stack unchanged. If the type is a " { $link tuple-class } ", the tuple slots are pushed onto the stack by order of arguments." }
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{ $examples { $example <"
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USING: kernel math prettyprint variants ;
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IN: scratchpad
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