32 lines
1.8 KiB
Factor
32 lines
1.8 KiB
Factor
USING: help.markup help.syntax math math.private math.functions
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math.complex.private ;
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IN: math.complex
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ARTICLE: "complex-numbers-zero" "Embedding of real numbers in complex numbers"
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"Constructing a complex number with an imaginary component equal to an integer zero simply returns the real number corresponding to the real component:"
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{ $example "USING: math prettyprint ;" "C{ 1 2 } C{ 3 -2 } + ." "4" }
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"Constructing a complex number with an imaginary component equal to floating point zero will still output a new complex number, however:"
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{ $example "USING: math prettyprint ;" "C{ 0.0 2.0 } C{ 0.0 1.0 } * ." "C{ -2.0 0.0 }" }
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"Unlike math, where all real numbers are also complex numbers, Factor only considers a number to be a complex number if its imaginary part is non-zero. However, complex number operations are fully supported for real numbers; they are treated as having an imaginary part of zero." ;
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ARTICLE: "complex-numbers" "Complex numbers"
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{ $subsection complex }
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"Complex numbers arise as solutions to quadratic equations whose graph does not intersect the " { $emphasis "x" } " axis. Their literal syntax is covered in " { $link "syntax-complex-numbers" } "."
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$nl
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"Complex numbers can be taken apart:"
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{ $subsection real-part }
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{ $subsection imaginary-part }
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{ $subsection >rect }
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"Complex numbers can be constructed from real numbers:"
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{ $subsection rect> }
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{ $subsection "complex-numbers-zero" }
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{ $see-also "syntax-complex-numbers" } ;
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HELP: complex
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{ $class-description "The class of complex numbers with non-zero imaginary part." } ;
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ABOUT: "complex-numbers"
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HELP: <complex> ( x y -- z )
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{ $values { "x" "a real number" } { "y" "a real number" } { "z" "a complex number" } }
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{ $description "Low-level complex number constructor. User code should call " { $link rect> } " instead." } ;
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