Polar To Rectangular Format Conversion

Validation and Benchmark Tool: PolToRectBV140.zip

Description

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

The objective is to build the fastest PolToRect routines.

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

function PolToRect(const X : TPolarComplexE) : TRegtangularComplexE; overload;
function PolToRect(const X : TPolarComplexD) : TRegtangularComplexD; overload;
function PolToRect(const X : TPolarComplexS) : TRegtangularComplexS; 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;