1 USING: arrays kernel sequences namespaces math math.ranges
3 IN: math.numerical-integration
5 SYMBOL: num-steps 180 num-steps set-global
6 : setup-simpson-range ( from to -- frange )
7 2dup swap - num-steps get / <range> ;
9 : generate-simpson-weights ( seq -- seq )
11 { 1 4 } % length 2 / 2 - { 2 4 } <repetition> concat % 1 ,
14 : integrate-simpson ( from to f -- x )
15 >r setup-simpson-range r>
16 dupd map dup generate-simpson-weights
17 v. swap [ third ] keep first - 6 / * ;