DERIVATIVE:

Vocabulary

math.derivatives.syntax

Word description

Defines the derivative of a word by setting its derivative word property. Reads a word followed by n quotations, giving the n partial derivatives of the word with respect to each of its arguments successively. Each quotation should take n + 1 inputs, where the first input is an increment and the last n inputs are the point at which to evaluate the derivative. The derivative should be a linear function of the increment, and should have the same number of outputs as the original word.

Examples

USING: math math.functions math.derivatives.syntax ; DERIVATIVE: sin [ cos * ] DERIVATIVE: * [ nip * ] [ drop * ]

See also

define-dual, dual-op

Definition

USING: accessors effects kernel lexer parser ranges sequences
words ;

IN: math.derivatives.syntax

SYNTAX: DERIVATIVE:
    scan-object dup stack-effect in>> length [1..b]
    [ drop scan-object ] map ";" expect
    "derivative" set-word-prop ;