Matrixmultiplikation: Unterschied zwischen den Versionen

Type
  TSMatrix = Array of Array of Single;

//sMatrix := sMatrix * Matrix
procedure pSMatrixMatrixProduct( var sMatrix: TSMatrix; const Matrix: TSMatrix );
var
  m, n,
  o : Integer;
  Res  : TSMatrix;
begin
  {Matrices can only be multiplicated, if the row count of the matrix#1 is the same
  as the column of the second matrix:}
  if High(sMatrix[0]) <> High(Matrix) then
    Exit;
  {if a k*l matrix is multiplicated by a m*n matrix,
   the result matrix will have a k*n dimension:}
  SetLength( Res, Length(sMatrix), Length(Matrix[0]) );
  for m := 0 to High(Res) do
    for n := 0 to High(Res[m]) do
      for o := 0 to High(Matrix) do
        incS( Res[m,n], sMatrix[m,o]*Matrix[o,n] );
  sMatrix := Res;
end;

type
  TVector4f = array[0..3] of GLfloat;
  Tmat4x4   = array[0..3] of TVector4f;


operator * (const m1, m2: Tmat4x4) Res: Tmat4x4;
var
  i, j, k: integer;
begin
  for i := 0 to 3 do begin
    for j := 0 to 3 do begin
      Res[i, j] := 0;
      for k := 0 to 3 do begin
        Res[i, j] := Res[i, j] + m2[i, k] * m1[k, j];
      end;
    end;
  end;
end;

var
  m, m0, m1: Tmat4x4;

begin
  m := m0 * m1; // Sieht sehr einfach aus.

type
  TVector4f = array[0..3] of GLfloat;
  Tmat4x4   = array[0..3] of TVector4f;


operator * (const m: Tmat4x4; v: TVector4f) Res: TVector4f;
var
  i: integer;
begin
  for i := 0 to 3 do begin
    Res[i] := m[0, i] * v[0] + m[1, i] * v[1] + m[2, i] * v[2]+ m[3, i] * v[3];
  end;
end;

var
  v    : TVector4f;
  m, m0: Tmat4x4;

begin
  m := m0 * v; // Sieht sehr einfach aus.