54 lines
1.5 KiB
Factor
54 lines
1.5 KiB
Factor
! Copyright (C) 2009 Jason W. Merrill.
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! See http://factorcode.org/license.txt for BSD license.
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USING: kernel math math.functions math.derivatives.syntax
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math.order math.parser summary accessors make combinators ;
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IN: math.derivatives
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ERROR: undefined-derivative point word ;
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M: undefined-derivative summary
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[ dup "Derivative of " % word>> name>> %
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" is undefined at " % point>> # "." % ]
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"" make ;
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DERIVATIVE: + [ 2drop ] [ 2drop ]
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DERIVATIVE: - [ 2drop ] [ 2drop neg ]
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DERIVATIVE: * [ nip * ] [ drop * ]
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DERIVATIVE: / [ nip / ] [ sq / neg * ]
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! Conditional checks if the epsilon-part of the exponent is
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! 0 to avoid getting float answers for integer powers.
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DERIVATIVE: ^ [ [ 1 - ^ ] keep * * ]
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[ [ dup zero? ] 2dip [ 3drop 0 ] [ [ ^ ] keep log * * ] if ]
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DERIVATIVE: abs
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[ 0 <=>
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{
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{ +lt+ [ neg ] }
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{ +eq+ [ 0 \ abs undefined-derivative ] }
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{ +gt+ [ ] }
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} case
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]
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DERIVATIVE: sqrt [ sqrt 2 * / ]
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DERIVATIVE: exp [ exp * ]
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DERIVATIVE: log [ / ]
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DERIVATIVE: sin [ cos * ]
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DERIVATIVE: cos [ sin neg * ]
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DERIVATIVE: tan [ sec sq * ]
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DERIVATIVE: sinh [ cosh * ]
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DERIVATIVE: cosh [ sinh * ]
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DERIVATIVE: tanh [ sech sq * ]
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DERIVATIVE: asin [ sq neg 1 + sqrt / ]
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DERIVATIVE: acos [ sq neg 1 + sqrt neg / ]
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DERIVATIVE: atan [ sq 1 + / ]
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DERIVATIVE: asinh [ sq 1 + sqrt / ]
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DERIVATIVE: acosh [ [ 1 + sqrt ] [ 1 - sqrt ] bi * / ]
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DERIVATIVE: atanh [ sq neg 1 + / ]
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DERIVATIVE: neg [ drop neg ]
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DERIVATIVE: recip [ sq recip neg * ]
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