77 lines
2.3 KiB
Factor
77 lines
2.3 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: kernel
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USE: logic
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USE: real-math
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USE: stack
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: fib ( n -- nth fibonacci number )
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! This is the naive implementation, for benchmarking purposes.
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dup 1 <= [
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drop 1
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] [
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pred dup fib swap pred fib +
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] ifte ;
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: fac ( n -- n! )
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! This is the naive implementation, for benchmarking purposes.
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1 swap [ succ * ] times* ;
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: 2^ ( x -- 2^x )
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1 swap [ 2 * ] times ;
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: harmonic ( n -- 1 + 1/2 + 1/3 + ... + 1/n )
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0 swap [ succ recip + ] times* ;
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: mag2 ( x y -- mag )
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#! Returns the magnitude of the vector (x,y).
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swap sq swap sq + fsqrt ;
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: abs ( z -- abs )
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#! Compute the complex absolute value.
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>rect mag2 ; 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 ; inline
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: >polar ( z -- abs arg )
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>rect 2dup mag2 transp fatan2 ;
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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 * ; inline
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