Function composition: Difference between revisions
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{{FormulaeEntry|page=https://formulae.org/?script=examples/Function_composition}} |
{{FormulaeEntry|page=https://formulae.org/?script=examples/Function_composition}} |
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'''Solution''' |
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[[File:Fōrmulæ - Function composition 01.png]] |
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The compose function returns a lambda expression, containing the actual composition of its arguments, and hence it can be called applied with its argument(s): |
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'''Test cases''' |
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[[File:Fōrmulæ - Function composition 02.png]] |
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[[File:Fōrmulæ - Function composition 03.png]] |
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Arguments of the functions to compose can be the same symbol, they are not "scrambled": |
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[[File:Fōrmulæ - Function composition 04.png]] |
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[[File:Fōrmulæ - Function composition 05.png]] |
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Because a function in Fōrmulæ is just a lambda expression, a lambda expression can be directly provided. |
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[[File:Fōrmulæ - Function composition 06.png]] |
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[[File:Fōrmulæ - Function composition 03.png]] |
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[[File:Fōrmulæ - Function composition 07.png]] |
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[[File:Fōrmulæ - Function composition 05.png]] |
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Since the composition function returns a lambda expression, it is not required to be applied: |
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[[File:Fōrmulæ - Function composition 08.png]] |
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[[File:Fōrmulæ - Function composition 09.png]] |
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[[File:Fōrmulæ - Function composition 10.png]] |
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[[File:Fōrmulæ - Function composition 11.png]] |
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=={{header|GAP}}== |
=={{header|GAP}}== |
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