Polar Complex Number Addition

Validation and Benchmark Tool: PolAddBV200.zip
Tables of results: CmplxPolAddBenchmark131.xls (Old, needs an update!)

Description

(The following description was written by Lars Gravengaard, April, 2006)

The objective is to build the fastest PolAdd routines.

There are three overloaded functions differing in the input and output datatype.

function PolAdd(const X, Y : TPolarComplexE) : TPolarComplexE; overload;
function PolAdd(const X, Y : TPolarComplexD) : TPolarComplexD; overload;
function PolAdd(const X, Y : TPolarComplexS) : TPolarComplexS; overload;

Type definition

TRegtangularComplexS = packed record
RealPart, ImaginaryPart : Single;
end;

TRegtangularComplexD = packed record
RealPart, ImaginaryPart : Double;
end;

TRegtangularComplexE = packed record
RealPart : Extended;
Pad1 : Cardinal; //4 byte
Pad2 : SmallInt; //2 byte
ImaginaryPart : Extended;
Pad3 : Cardinal; //4 byte
Pad4 : SmallInt; //2 byte
end;

TPolarComplexS = packed record
Amplitude, Phase : Single;
end;

TPolarComplexD = packed record
Amplitude, Phase : Double;
end;

TPolarComplexE = packed record
Amplitude : Extended;
Pad1 : Cardinal; //4 byte
Pad2 : SmallInt; //2 byte
Phase : Extended;
Pad3 : Cardinal; //4 byte
Pad4 : SmallInt; //2 byte
end;