Modern Math Complex

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Complex

Holds a complex number as two Doubles, re and im.

Syntax

type Complex
    as float64 re, im
end type

Notes

• Sixteen bytes, float64 only. There is no single-precision Complexf. Both libraries this header draws on are double-only, and a single-precision complex buys nothing at 16 bytes versus 8 unless the consumer is an FFT holding millions of them.
• The fields are named re and im and may be read directly, but CReal and CImag are the documented spelling — they survive a field rename and they say at the call site that the operand is complex.
• Positional initialisation works — type<Complex>( 3, 4 ) — and agrees exactly with CSet( 3, 4 ).
• No ordering operators. < on complex numbers has no meaning, so none is defined. = and <> are.

Examples

#import "std/numeric"
using numeric

dim as Complex z = CSet( 3, 4 )

print CToString( z )                      '' 3+4i
print sizeof( Complex )                   '' 16   -- two doubles, no padding
print CToString( type<Complex>( 3, 4 ) )  '' 3+4i   -- the positional form agrees

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Library: Math Library
Category: Math Library
Documented under: Members