2005-02-08 22:02:44 -05:00
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! Copyright (C) 2004, 2005 Slava Pestov.
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! See http://factor.sf.net/license.txt for BSD license.
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2004-07-16 02:26:21 -04:00
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IN: math
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2005-02-08 22:02:44 -05:00
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USING: kernel math math-internals ;
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2004-07-16 02:26:21 -04:00
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2004-08-06 20:22:47 -04:00
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! Inverse trigonometric functions:
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! acos asec asin acosec atan acot
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2004-07-16 02:26:21 -04:00
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2004-08-06 20:22:47 -04:00
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! Inverse hyperbolic functions:
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! acosh asech asinh acosech atanh acoth
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2004-07-16 02:26:21 -04:00
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2005-08-08 15:21:14 -04:00
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: acosh dup sq 1 - sqrt + log ; stateless
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: asech recip acosh ; stateless
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: asinh dup sq 1 + sqrt + log ; stateless
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: acosech recip asinh ; stateless
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: atanh dup 1 + swap 1 - neg / log 2 / ; stateless
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: acoth recip atanh ; stateless
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: <=1 ( x -- ? ) dup complex? [ drop f ] [ abs 1 <= ] ifte ; stateless
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: asin dup <=1 [ fasin ] [ i * asinh -i * ] ifte ; stateless
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2005-08-11 19:08:22 -04:00
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: acos dup <=1 [ facos ] [ asin pi 2 / swap - ] ifte ; stateless
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2005-08-08 15:21:14 -04:00
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: atan dup <=1 [ fatan ] [ i * atanh i * ] ifte ; stateless
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: asec recip acos ; stateless
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: acosec recip asin ; stateless
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: acot recip atan ; stateless
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