69 lines
1.7 KiB
Factor
69 lines
1.7 KiB
Factor
! Copyright (C) 2005 Slava Pestov.
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! See http://factor.sf.net/license.txt for BSD license.
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IN: math
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USING: arrays generic kernel sequences ;
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! Vectors
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: vneg ( v -- v ) [ neg ] map ;
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: n*v ( n v -- v ) [ * ] map-with ;
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: v*n ( v n -- v ) swap n*v ;
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: n/v ( n v -- v ) [ / ] map-with ;
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: v/n ( v n -- v ) swap [ swap / ] map-with ;
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: v+ ( v v -- v ) [ + ] 2map ;
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: v- ( v v -- v ) [ - ] 2map ;
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: v* ( v v -- v ) [ * ] 2map ;
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: v/ ( v v -- v ) [ / ] 2map ;
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: vmax ( v v -- v ) [ max ] 2map ;
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: vmin ( v v -- v ) [ min ] 2map ;
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: sum ( v -- n ) 0 [ + ] reduce ;
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: product ( v -- n ) 1 [ * ] reduce ;
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: set-axis ( x y axis -- v )
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2dup v* >r >r drop dup r> v* v- r> v+ ;
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: v. ( v v -- x )
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#! Real inner product.
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0 [ * + ] 2reduce ;
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: c. ( v v -- x )
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#! Complex inner product.
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0 [ ** + ] 2reduce ;
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: norm-sq ( v -- n ) 0 [ absq + ] reduce ;
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: norm ( vec -- n ) norm-sq sqrt ;
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: normalize ( vec -- vec ) dup norm v/n ;
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: proj ( u v -- w )
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#! Orthogonal projection of u onto v.
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[ [ v. ] keep norm-sq v/n ] keep n*v ;
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! Matrices
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: zero-matrix ( m n -- matrix )
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swap [ drop zero-array ] map-with ;
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: identity-matrix ( n -- matrix )
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#! Make a nxn identity matrix.
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dup [ swap [ = 1 0 ? ] map-with ] map-with ;
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! Matrix operations
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: mneg ( m -- m ) [ vneg ] map ;
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: n*m ( n m -- m ) [ n*v ] map-with ;
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: m*n ( m n -- m ) swap n*m ;
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: n/m ( n m -- m ) [ n/v ] map-with ;
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: m/n ( m n -- m ) swap [ swap v/n ] map-with ;
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: m+ ( m m -- m ) [ v+ ] 2map ;
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: m- ( m m -- m ) [ v- ] 2map ;
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: m* ( m m -- m ) [ v* ] 2map ;
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: m/ ( m m -- m ) [ v/ ] 2map ;
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: v.m ( v m -- v ) flip [ v. ] map-with ;
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: m.v ( m v -- v ) swap [ v. ] map-with ;
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: m. ( m m -- m ) flip swap [ m.v ] map-with ;
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