Area Calculations Library

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A library for area calculation.

unit  uArea ;

{$mode objfpc} {$H +} 
{$IMPLICITEXCEPTIONS OFF}

interface

uses 
  SysUtils ;

function  funSquareArea (dblL : double) : double; 
function  funSquareDiagonalLength (dblL : double) : double; 
function  funSquareLength (dblA : double) : double; 
function  funSquarePerimeter (dblL : double) : double;

function  funRectangleArea (dblL, dblB : double) : double;
function  funRectangleDiagonalLength (dblL, dblB : double) : double; 
function  funRectanglePerimeter (dblL, dblB : double) : double;

function  funRhombusArea (dblL, dblB : double) : double; 
function  funRhombusPerimeter (dblL, dblB : double) : double;

function  funeTrapezoidArea (dblL1, dblL2, dblB : double) : double; 
function  funTrapezMedian (dblL1, dblL2 : double) : double; 
function  funTrapezoidPerimeter (dblL1, dblL2, dblL3, dblL4 : double) : double;

function  funTriangleArea (dblL, dblB : double) : double; 
function  funTrianglePerimeter (dblL1, dblL2, dblL3 : double) : double;

function  funEquilateralTriangleHeight (dblL : double) : double;

function  funCircleArea (dblD : double) : double; 
function  funCircleCircumference (dblD : double) : double; 
function  funCircleRadius (dblA : double) : double;

function  funCircleSegmentArea (dblA, dblD : double) : double; 
function  funCircleSegmentChordLength (dblR, dblA : double) : double;

function  funCircleSegmentArcLength (dblR, dblA : double) : double;
function  funCircleSegmentChordLength (dblR, dblB : double) : double; 

function  funCircleSegmentSagitta (dblR, dblL : double) : double;

function  funEllipseArea (dblD1, dblD2 : double) : double; 
function  funEllipseCircumference (dblD1, dblD2 : double) : double;


implementation

function  funSquareArea (dblL : double) : double; 
begin 
  // dblL is the length 
  Result := dblL * dblL; 
end;

function  funSquareDiagonalLength (dblL : double) : double; 
begin 
  // dblL is the length 
  Result := (sqrt (2)) * dblL; 
end;

function funSquareLength (dblA : double) : double; 
begin 
  // dblA is the area 
  Result := sqrt (dblA); 
end;

function SquarePerimeter (dblL : double) : double; 
begin 
  // dblL is the length 
  Result := 4 * dblL; 
end;

function funRectangleArea (dblL, dblB : double) : double; 
begin 
  // dblL is the length 
  // dblB is the width 
  Result := dblL * dblB; 
end;

function funRectangleDiagonalLength (dblL, dblB : double) : double; 
begin 
  // dblL is the length 
  // dblB is the width 
  Result := sqrt (dblL + dblB); 
end;

function funRectanglePerimeter (dblL, dblB : double) : double; 
begin 
  // dblL is the length 
  // dblB is the width 
  Result := 2 * (dblL + dblB); 
end;

function funRhombusArea (dblL, dblB : double) : double; 
begin 
  // rhombus = parallelogram 
  // dblL is the length 
  // dblB is the width 
  Result := dblL * dblB; 
end;

function funRhombusPerimeter (dblL, dblB : double) : double; 
begin 
  // rhombus = parallelogram 
  // dblL is the length 
  // dblB is the width 
  Result := 2 * (dblL + dblB); 
end;

function funTrapezoidArea (dblL1, dblL2, dblB : double) : double; 
begin 
  // dblL1 is the great length 
  // dblL2 is the short length 
  // dblB is the width 
  Result := ((dblL1 * dblL2) / 2) * dblB; 
end;

function funTrapezoidMedian (dblL1, dblL2 : double) : double; 
begin 
  // dblL1 is the large length 
  // dblL2 is the small length 
  Result := (dblL1 * dblL2) / 2; 
end;

function funTrapezoidPerimeter (dblL1, dblL2, dblL3, dblL4 : double) : double; 
begin 
  // dblL1 to dblL4 are the lengths of the trapezoid 
  Result := dblL1 + dblL2 + dblL3 + dblL4; 
end;

function funTriangleArea (dblL, dblB : double) : double; 
begin 
  // dblL is the length 
  // dblB is the width 
  Result := (dblL * dblB) / 2; 
end;

function funTrianglePerimeter (dblL1, dblL2, dblL3 : double) : double; 
begin 
  // dblL1 to dblL3 are the lengths of the triangle 
  Result := dblL1 + dblL2 + dblL3; 
end;

function funEquilateralTriangleHeight (dblL : double) : double; 
begin 
  // dblL is the length 
  Result := 0.5 * sqrt(3) * dblL; 
end;

function funCircleArea (dblD : double) : double; 
begin 
  // dblD is the diameter 
  Result := (PI * (dblD * dblD)) / 4; 
end;

function funCircleCircumference (dblD : double) : double; 
begin 
  // dblD is the diameter 
  Result := PI * dblD; 
end;

function funCircleRadius (dblA : double) : double; 
begin 
  // dblA is the area 
  Result := sqrt (dblA / PI); 
end;

function funCircleSegmentArea (dblA, dblD : double) : double; 
begin 
  // dblD is the circle diameter 
  // dblA is the central angle
  Result := (PI * (dblD * dblD) / 4) * (dblA / 360); 
end;

function funCircleSegmentChordLength (dblR, dblA : double) : double; 
begin 
  // dblR is the radius 
  // dblA is the central angle 
  Result := 2 * (dblR * (sin (dblA / 2))); 
end;

function funCircleSegmentArcLength (dblR, dblA : double) : double; 
begin 
  // dblR is the radius 
  // dblA is the central angle 
  Result := (PI * dblR * dblA) / 180; 
end;

function funCircleSegmentChordLength (dblR, dblB : double) : double; 
begin 
  // dblR is the radius 
  // dblB is the width 
  Result := 2 * sqrt (dblB * ((2 * dblR) - dblB)); 
end;

function funCircleSegmentSagitta (dblR, dblL : double) : double; 
begin 
  // dblR is the radius 
  // dblL is the chord length 
  Result := dblR - (sqrt ((dblR * dblR) - ((dblL * dblL) / 4))); 
end;

function funEllipseArea (dblD1, dblD2 : double) : double; 
begin 
  // dblD1 is the large diameter of the ellipse 
  // dblD2 is the small diameter of the ellipse 
  Result := (Pi * dblD1 * dblD2) / 4; 
end;

function funEllipseCircumference (dblD1, dblD2 : double) : double; 
begin 
  // dblD1 is the large diameter of the ellipse 
  // dblD2 is the small diameter of the ellipse 
  Result := (Pi / 2) * (dblD1 + dblD2); 
end;

end.