37 lines
1.0 KiB
Factor
37 lines
1.0 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-contrib
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USING: arrays generic kernel sequences math ;
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! Matrices
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: zero-matrix ( m n -- matrix )
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swap [ drop 0 <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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: mmin ( m -- n ) >r 1/0. r> [ [ min ] each ] each ;
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: mmax ( m -- n ) >r -1/0. r> [ [ max ] each ] each ;
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: mnorm ( m -- n ) dup mmax abs m/n ;
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: m-almost= ( m n -- ? )
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t -rot [ [ almost= and ] 2each ] 2each ;
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