56 lines
1.9 KiB
Factor
56 lines
1.9 KiB
Factor
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!: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: math
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USE: arithmetic
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USE: combinators
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USE: real-math
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USE: kernel
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USE: stack
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!!! Power-related functions:
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!!! exp log sqrt pow
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: exp >rect swap fexp swap polar> ;
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: log >polar swap flog swap rect> ;
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: sqrt ( z -- sqrt )
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>polar dup pi = [
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drop fsqrt 0 swap rect>
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] [
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swap fsqrt swap 2 / polar>
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] ifte ;
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: ^mag ( w abs arg -- magnitude )
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[ [ >rect swap ] dip swap fpow ] dip rot * fexp / ;
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: ^theta ( w abs arg -- theta )
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[ [ >rect ] dip flog * swap ] dip * + ;
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: ^ ( z w -- z^w )
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swap >polar 3dup ^theta [ ^mag ] dip polar> ;
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