105 lines
3.1 KiB
Factor
105 lines
3.1 KiB
Factor
! :folding=indent:collapseFolds=0:
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! $Id$
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!
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! Copyright (C) 2004 Slava Pestov.
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!
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! Redistribution and use in source and binary forms, with or without
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! modification, are permitted provided that the following conditions are met:
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!
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! 1. Redistributions of source code must retain the above copyright notice,
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! this list of conditions and the following disclaimer.
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!
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! 2. Redistributions in binary form must reproduce the above copyright notice,
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! this list of conditions and the following disclaimer in the documentation
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! and/or other materials provided with the distribution.
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!
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! THIS SOFTWARE IS PROVIDED ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES,
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! INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND
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! FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
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! DEVELOPERS AND CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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! SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
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! PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS;
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! OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
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! WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR
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! OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF
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! ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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IN: errors
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DEFER: throw
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IN: math-internals
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USE: generic
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USE: kernel
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USE: kernel-internals
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USE: math
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: (rect>) ( xr xi -- x )
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#! Does not perform a check that the arguments are reals.
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#! Do not use in your own code.
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dup 0 number= [ drop ] [ <complex> ] ifte ; inline
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IN: math
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GENERIC: real ( #{ re im }# -- re )
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M: real real ;
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M: complex real 0 slot %real ;
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GENERIC: imaginary ( #{ re im }# -- im )
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M: real imaginary drop 0 ;
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M: complex imaginary 1 slot %real ;
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: rect> ( xr xi -- x )
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over real? over real? and [
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(rect>)
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] [
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"Complex number must have real components" throw drop
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] ifte ; inline
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: >rect ( x -- xr xi ) dup real swap imaginary ; inline
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: conjugate ( z -- z* )
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>rect neg rect> ;
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: arg ( z -- arg )
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#! Compute the complex argument.
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>rect swap fatan2 ;
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: >polar ( z -- abs arg )
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>rect 2dup swap fatan2 >r mag2 r> ;
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: cis ( theta -- cis )
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dup fcos swap fsin rect> ;
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: polar> ( abs arg -- z )
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cis * ;
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IN: math-internals
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: 2>rect ( x y -- xr yr xi yi )
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[ swap real swap real ] 2keep
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swap imaginary swap imaginary ; inline
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M: complex number= ( x y -- ? )
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2>rect number= [ number= ] [ 2drop f ] ifte ;
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: *re ( x y -- xr*yr xi*ri ) 2>rect * >r * r> ; inline
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: *im ( x y -- xi*yr xr*yi ) 2>rect >r * swap r> * ; inline
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M: complex + 2>rect + >r + r> (rect>) ;
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M: complex - 2>rect - >r - r> (rect>) ;
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M: complex * ( x y -- x*y ) 2dup *re - -rot *im + (rect>) ;
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: abs^2 ( x -- y ) >rect sq swap sq + ; inline
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: complex/ ( x y -- r i m )
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#! r = xr*yr+xi*yi, i = xi*yr-xr*yi, m = yr*yr+yi*yi
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dup abs^2 >r 2dup *re + -rot *im - r> ; inline
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M: complex / ( x y -- x/y ) complex/ tuck / >r / r> (rect>) ;
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M: complex /f ( x y -- x/y ) complex/ tuck /f >r /f r> (rect>) ;
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M: complex abs ( z -- |z| ) >rect mag2 ;
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M: complex hashcode ( n -- n )
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>rect >fixnum swap >fixnum bitxor ;
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