Fixed help for math.dual. Help is now autogenerated where possible.
parent
4e0db1332c
commit
d59415d23b
|
@ -10,84 +10,6 @@ HELP: <dual>
|
||||||
}
|
}
|
||||||
{ $description "Creates a dual number from its ordinary and epsilon parts." } ;
|
{ $description "Creates a dual number from its ordinary and epsilon parts." } ;
|
||||||
|
|
||||||
HELP: d*
|
|
||||||
{ $values
|
|
||||||
{ "x" dual } { "y" dual }
|
|
||||||
{ "x*y" dual }
|
|
||||||
}
|
|
||||||
{ $description "Multiply dual numbers." } ;
|
|
||||||
|
|
||||||
HELP: d+
|
|
||||||
{ $values
|
|
||||||
{ "x" dual } { "y" dual }
|
|
||||||
{ "x+y" dual }
|
|
||||||
}
|
|
||||||
{ $description "Add dual numbers." } ;
|
|
||||||
|
|
||||||
HELP: d-
|
|
||||||
{ $values
|
|
||||||
{ "x" dual } { "y" dual }
|
|
||||||
{ "x-y" dual }
|
|
||||||
}
|
|
||||||
{ $description "Subtract dual numbers." } ;
|
|
||||||
|
|
||||||
HELP: d/
|
|
||||||
{ $values
|
|
||||||
{ "x" dual } { "y" dual }
|
|
||||||
{ "x/y" dual }
|
|
||||||
}
|
|
||||||
{ $description "Divide dual numbers." }
|
|
||||||
{ $errors "Throws an error if the ordinary part of " { $snippet "x" } " is zero." } ;
|
|
||||||
|
|
||||||
HELP: d^
|
|
||||||
{ $values
|
|
||||||
{ "x" dual } { "y" dual }
|
|
||||||
{ "x^y" dual }
|
|
||||||
}
|
|
||||||
{ $description "Raise a dual number to a (possibly dual) power" } ;
|
|
||||||
|
|
||||||
HELP: dabs
|
|
||||||
{ $values
|
|
||||||
{ "x" dual }
|
|
||||||
{ "|x|" dual }
|
|
||||||
}
|
|
||||||
{ $description "Absolute value of a dual number." } ;
|
|
||||||
|
|
||||||
HELP: dacosh
|
|
||||||
{ $values
|
|
||||||
{ "x" dual }
|
|
||||||
{ "y" dual }
|
|
||||||
}
|
|
||||||
{ $description "Inverse hyberbolic cosine of a dual number." } ;
|
|
||||||
|
|
||||||
HELP: dasinh
|
|
||||||
{ $values
|
|
||||||
{ "x" dual }
|
|
||||||
{ "y" dual }
|
|
||||||
}
|
|
||||||
{ $description "Inverse hyberbolic sine of a dual number." } ;
|
|
||||||
|
|
||||||
HELP: datanh
|
|
||||||
{ $values
|
|
||||||
{ "x" dual }
|
|
||||||
{ "y" dual }
|
|
||||||
}
|
|
||||||
{ $description "Inverse hyberbolic tangent of a dual number." } ;
|
|
||||||
|
|
||||||
HELP: dneg
|
|
||||||
{ $values
|
|
||||||
{ "x" dual }
|
|
||||||
{ "-x" dual }
|
|
||||||
}
|
|
||||||
{ $description "Negative of a dual number." } ;
|
|
||||||
|
|
||||||
HELP: drecip
|
|
||||||
{ $values
|
|
||||||
{ "x" dual }
|
|
||||||
{ "1/x" dual }
|
|
||||||
}
|
|
||||||
{ $description "Reciprocal of a dual number." } ;
|
|
||||||
|
|
||||||
HELP: define-dual
|
HELP: define-dual
|
||||||
{ $values
|
{ $values
|
||||||
{ "word" word }
|
{ "word" word }
|
||||||
|
@ -128,5 +50,4 @@ $nl
|
||||||
"Dual numbers are ordered pairs " { $snippet "<o,e>"} "--an ordinary part and an epsilon part--with component-wise addition and multiplication defined by "{ $snippet "<o1,e1>*<o2,e2> = <o1*o2,e1*o2 + e2*o1>" } ". They are analagous to complex numbers with " { $snippet "i^2 = 0" } "instead of " { $snippet "i^2 = -1" } ". For well-behaved functions " { $snippet "f" } ", " { $snippet "f(<o1,e1>) = f(o1) + e1*f'(o1)" } ", where " { $snippet "f'"} " is the derivative of " { $snippet "f" } "."
|
"Dual numbers are ordered pairs " { $snippet "<o,e>"} "--an ordinary part and an epsilon part--with component-wise addition and multiplication defined by "{ $snippet "<o1,e1>*<o2,e2> = <o1*o2,e1*o2 + e2*o1>" } ". They are analagous to complex numbers with " { $snippet "i^2 = 0" } "instead of " { $snippet "i^2 = -1" } ". For well-behaved functions " { $snippet "f" } ", " { $snippet "f(<o1,e1>) = f(o1) + e1*f'(o1)" } ", where " { $snippet "f'"} " is the derivative of " { $snippet "f" } "."
|
||||||
;
|
;
|
||||||
|
|
||||||
|
|
||||||
ABOUT: "math.dual"
|
ABOUT: "math.dual"
|
||||||
|
|
|
@ -1,8 +1,9 @@
|
||||||
! Copyright (C) 2009 Jason W. Merrill.
|
! Copyright (C) 2009 Jason W. Merrill.
|
||||||
! See http://factorcode.org/license.txt for BSD license.
|
! See http://factorcode.org/license.txt for BSD license.
|
||||||
USING: kernel math math.functions math.derivatives accessors
|
USING: kernel math math.functions math.derivatives accessors
|
||||||
macros words effects vocabs sequences generalizations fry
|
macros generic compiler.units words effects vocabs
|
||||||
combinators.smart generic compiler.units ;
|
sequences arrays assocs generalizations fry make
|
||||||
|
combinators.smart help help.markup ;
|
||||||
|
|
||||||
IN: math.dual
|
IN: math.dual
|
||||||
|
|
||||||
|
@ -48,6 +49,19 @@ MACRO: chain-rule ( word -- e )
|
||||||
tri
|
tri
|
||||||
'[ [ @ _ @ ] sum-outputs ] ;
|
'[ [ @ _ @ ] sum-outputs ] ;
|
||||||
|
|
||||||
|
: set-dual-help ( word dword -- )
|
||||||
|
[ swap
|
||||||
|
[ stack-effect [ in>> ] [ out>> ] bi append
|
||||||
|
[ dual ] { } map>assoc { $values } prepend
|
||||||
|
]
|
||||||
|
[ [ { $description } % "Version of " ,
|
||||||
|
{ $link } swap suffix ,
|
||||||
|
" extended to work on dual numbers." , ]
|
||||||
|
{ } make
|
||||||
|
]
|
||||||
|
bi* 2array
|
||||||
|
] keep set-word-help ;
|
||||||
|
|
||||||
PRIVATE>
|
PRIVATE>
|
||||||
|
|
||||||
MACRO: dual-op ( word -- )
|
MACRO: dual-op ( word -- )
|
||||||
|
@ -58,13 +72,11 @@ MACRO: dual-op ( word -- )
|
||||||
'[ _ @ @ <dual> ] ;
|
'[ _ @ @ <dual> ] ;
|
||||||
|
|
||||||
: define-dual ( word -- )
|
: define-dual ( word -- )
|
||||||
[
|
dup name>> "d" prepend "math.dual" create
|
||||||
[ stack-effect ]
|
[ [ stack-effect ] dip set-stack-effect ]
|
||||||
[ name>> "d" prepend "math.dual" create ]
|
[ set-dual-help ]
|
||||||
bi [ set-stack-effect ] keep
|
[ swap '[ _ dual-op ] define ]
|
||||||
]
|
2tri ;
|
||||||
keep
|
|
||||||
'[ _ dual-op ] define ;
|
|
||||||
|
|
||||||
! Specialize math functions to operate on dual numbers.
|
! Specialize math functions to operate on dual numbers.
|
||||||
[ all-words [ "derivative" word-prop ] filter
|
[ all-words [ "derivative" word-prop ] filter
|
||||||
|
|
Loading…
Reference in New Issue