mirror of
https://gitlab.com/freepascal.org/fpc/source.git
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824 lines
38 KiB
ObjectPascal
824 lines
38 KiB
ObjectPascal
unit matrix;
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{
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This file is part of the Free Pascal run time library.
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Copyright (c) 2004 by Daniel Mantione
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See the file COPYING.FPC, included in this distribution,
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for details about the copyright.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
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**********************************************************************}
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{This unit provides some common matrix and vector operations on vectors and
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matrixes with dimensions of 2, 3 and 4 which are the most common ones in
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computer graphics, and all routines provided in variations with single,
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double and extended precision.
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The goal of this unit is also to invite some standardisation
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between libraries, i.e. a vector from library x can be passed to library y
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without conversion routines in between.
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It would be nice to have some diehard assembler optimized versions of
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these routines, however the Free Pascal team wishes to concentrate on the
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compiler. Contributions from the community are very welcome.}
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{*****************************************************************************}
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interface
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{*****************************************************************************}
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{$MACRO on}
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type Tvector2_single_data=array[0..1] of single;
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Tvector2_double_data=array[0..1] of double;
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Tvector2_extended_data=array[0..1] of extended;
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Tvector3_single_data=array[0..2] of single;
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Tvector3_double_data=array[0..2] of double;
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Tvector3_extended_data=array[0..2] of extended;
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Tvector4_single_data=array[0..3] of single;
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Tvector4_double_data=array[0..3] of double;
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Tvector4_extended_data=array[0..3] of extended;
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Tmatrix2_single_data=array[0..1,0..1] of single;
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Tmatrix2_double_data=array[0..1,0..1] of double;
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Tmatrix2_extended_data=array[0..1,0..1] of extended;
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Tmatrix3_single_data=array[0..2,0..2] of single;
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Tmatrix3_double_data=array[0..2,0..2] of double;
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Tmatrix3_extended_data=array[0..2,0..2] of extended;
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Tmatrix4_single_data=array[0..3,0..3] of single;
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Tmatrix4_double_data=array[0..3,0..3] of double;
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Tmatrix4_extended_data=array[0..3,0..3] of extended;
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Tvector2_single=object
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data:Tvector2_single_data;
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constructor init_zero;
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constructor init_one;
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constructor init(a,b:single);
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function length:single;
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function squared_length:single;
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end;
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Tvector2_double=object
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data:Tvector2_double_data;
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constructor init_zero;
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constructor init_one;
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constructor init(a,b:double);
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function length:double;
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function squared_length:double;
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end;
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Tvector2_extended=object
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data:Tvector2_extended_data;
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constructor init_zero;
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constructor init_one;
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constructor init(a,b:extended);
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function length:extended;
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function squared_length:extended;
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end;
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Tvector3_single=object
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data:Tvector3_single_data;
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constructor init_zero;
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constructor init_one;
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constructor init(a,b,c:single);
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function length:single;
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function squared_length:single;
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end;
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Tvector3_double=object
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data:Tvector3_double_data;
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constructor init_zero;
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constructor init_one;
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constructor init(a,b,c:double);
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function length:double;
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function squared_length:double;
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end;
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Tvector3_extended=object
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data:Tvector3_extended_data;
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constructor init_zero;
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constructor init_one;
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constructor init(a,b,c:extended);
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function length:extended;
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function squared_length:extended;
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end;
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Tvector4_single=object
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data:Tvector4_single_data;
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constructor init_zero;
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constructor init_one;
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constructor init(a,b,c,d:single);
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function length:single;
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function squared_length:single;
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end;
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Tvector4_double=object
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data:Tvector4_double_data;
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constructor init_zero;
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constructor init_one;
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constructor init(a,b,c,d:double);
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function length:double;
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function squared_length:double;
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end;
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Tvector4_extended=object
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data:Tvector4_extended_data;
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constructor init_zero;
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constructor init_one;
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constructor init(a,b,c,d:extended);
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function length:extended;
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function squared_length:extended;
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end;
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Tmatrix2_single=object
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data:Tmatrix2_single_data;
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constructor init_zero;
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constructor init_identity;
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constructor init(aa,ab,ba,bb:single);
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function get_column(c:byte):Tvector2_single;
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function get_row(r:byte):Tvector2_single;
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procedure set_column(c:byte;const v:Tvector2_single);
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procedure set_row(r:byte;const v:Tvector2_single);
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function determinant:single;
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function inverse(Adeterminant:single):Tmatrix2_single;
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function transpose:Tmatrix2_single;
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end;
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Tmatrix2_double=object
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data:Tmatrix2_double_data;
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constructor init_zero;
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constructor init_identity;
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constructor init(aa,ab,ba,bb:double);
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function get_column(c:byte):Tvector2_double;
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function get_row(r:byte):Tvector2_double;
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procedure set_column(c:byte;const v:Tvector2_double);
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procedure set_row(r:byte;const v:Tvector2_double);
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function determinant:double;
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function inverse(Adeterminant:double):Tmatrix2_double;
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function transpose:Tmatrix2_double;
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end;
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Tmatrix2_extended=object
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data:Tmatrix2_extended_data;
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constructor init_zero;
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constructor init_identity;
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constructor init(aa,ab,ba,bb:extended);
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function get_column(c:byte):Tvector2_extended;
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function get_row(r:byte):Tvector2_extended;
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procedure set_column(c:byte;const v:Tvector2_extended);
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procedure set_row(r:byte;const v:Tvector2_extended);
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function determinant:extended;
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function inverse(Adeterminant:extended):Tmatrix2_extended;
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function transpose:Tmatrix2_extended;
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end;
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Tmatrix3_single=object
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data:Tmatrix3_single_data;
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constructor init_zero;
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constructor init_identity;
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constructor init(aa,ab,ac,ba,bb,bc,ca,cb,cc:single);
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function get_column(c:byte):Tvector3_single;
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function get_row(r:byte):Tvector3_single;
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procedure set_column(c:byte;const v:Tvector3_single);
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procedure set_row(r:byte;const v:Tvector3_single);
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function determinant:single;
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function inverse(Adeterminant:single):Tmatrix3_single;
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function transpose:Tmatrix3_single;
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end;
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Tmatrix3_double=object
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data:Tmatrix3_double_data;
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constructor init_zero;
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constructor init_identity;
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constructor init(aa,ab,ac,ba,bb,bc,ca,cb,cc:double);
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function get_column(c:byte):Tvector3_double;
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function get_row(r:byte):Tvector3_double;
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procedure set_column(c:byte;const v:Tvector3_double);
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procedure set_row(r:byte;const v:Tvector3_double);
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function determinant:double;
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function inverse(Adeterminant:double):Tmatrix3_double;
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function transpose:Tmatrix3_double;
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end;
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Tmatrix3_extended=object
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data:Tmatrix3_extended_data;
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constructor init_zero;
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constructor init_identity;
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constructor init(aa,ab,ac,ba,bb,bc,ca,cb,cc:extended);
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function get_column(c:byte):Tvector3_extended;
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function get_row(r:byte):Tvector3_extended;
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procedure set_column(c:byte;const v:Tvector3_extended);
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procedure set_row(r:byte;const v:Tvector3_extended);
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function determinant:extended;
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function inverse(Adeterminant:extended):Tmatrix3_extended;
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function transpose:Tmatrix3_extended;
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end;
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Tmatrix4_single=object
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data:Tmatrix4_single_data;
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constructor init_zero;
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constructor init_identity;
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constructor init(aa,ab,ac,ad,ba,bb,bc,bd,ca,cb,cc,cd,da,db,dc,dd:single);
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function get_column(c:byte):Tvector4_single;
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function get_row(r:byte):Tvector4_single;
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procedure set_column(c:byte;const v:Tvector4_single);
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procedure set_row(r:byte;const v:Tvector4_single);
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function determinant:single;
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function inverse(Adeterminant:single):Tmatrix4_single;
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function transpose:Tmatrix4_single;
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end;
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Tmatrix4_double=object
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data:Tmatrix4_double_data;
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constructor init_zero;
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constructor init_identity;
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constructor init(aa,ab,ac,ad,ba,bb,bc,bd,ca,cb,cc,cd,da,db,dc,dd:double);
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function get_column(c:byte):Tvector4_double;
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function get_row(r:byte):Tvector4_double;
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procedure set_column(c:byte;const v:Tvector4_double);
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procedure set_row(r:byte;const v:Tvector4_double);
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function determinant:double;
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function inverse(Adeterminant:double):Tmatrix4_double;
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function transpose:Tmatrix4_double;
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end;
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Tmatrix4_extended=object
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data:Tmatrix4_extended_data;
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constructor init_zero;
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constructor init_identity;
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constructor init(aa,ab,ac,ad,ba,bb,bc,bd,ca,cb,cc,cd,da,db,dc,dd:extended);
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function get_column(c:byte):Tvector4_extended;
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function get_row(r:byte):Tvector4_extended;
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procedure set_column(c:byte;const v:Tvector4_extended);
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procedure set_row(r:byte;const v:Tvector4_extended);
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function determinant:extended;
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function inverse(Adeterminant:extended):Tmatrix4_extended;
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function transpose:Tmatrix4_extended;
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end;
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{Operators to make different vectors assignable to each other}
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operator := (const v:Tvector2_single) result:Tvector2_double;
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operator := (const v:Tvector2_single) result:Tvector2_extended;
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operator := (const v:Tvector2_double) result:Tvector2_single;
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operator := (const v:Tvector2_double) result:Tvector2_extended;
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operator := (const v:Tvector2_extended) result:Tvector2_single;
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operator := (const v:Tvector2_extended) result:Tvector2_double;
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operator := (const v:Tvector2_single) result:Tvector3_single;
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operator := (const v:Tvector2_single) result:Tvector3_double;
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operator := (const v:Tvector2_single) result:Tvector3_extended;
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operator := (const v:Tvector2_double) result:Tvector3_single;
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operator := (const v:Tvector2_double) result:Tvector3_double;
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operator := (const v:Tvector2_double) result:Tvector3_extended;
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operator := (const v:Tvector2_extended) result:Tvector3_single;
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operator := (const v:Tvector2_extended) result:Tvector3_double;
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operator := (const v:Tvector2_extended) result:Tvector3_extended;
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operator := (const v:Tvector2_single) result:Tvector4_single;
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operator := (const v:Tvector2_single) result:Tvector4_double;
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operator := (const v:Tvector2_single) result:Tvector4_extended;
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operator := (const v:Tvector2_double) result:Tvector4_single;
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operator := (const v:Tvector2_double) result:Tvector4_double;
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operator := (const v:Tvector2_double) result:Tvector4_extended;
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operator := (const v:Tvector2_extended) result:Tvector4_single;
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operator := (const v:Tvector2_extended) result:Tvector4_double;
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operator := (const v:Tvector2_extended) result:Tvector4_extended;
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operator := (const v:Tvector3_single) result:Tvector2_single;
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operator := (const v:Tvector3_single) result:Tvector2_double;
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operator := (const v:Tvector3_single) result:Tvector2_extended;
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operator := (const v:Tvector3_double) result:Tvector2_single;
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operator := (const v:Tvector3_double) result:Tvector2_double;
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operator := (const v:Tvector3_double) result:Tvector2_extended;
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operator := (const v:Tvector3_extended) result:Tvector2_single;
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operator := (const v:Tvector3_extended) result:Tvector2_double;
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operator := (const v:Tvector3_extended) result:Tvector2_extended;
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operator := (const v:Tvector3_single) result:Tvector3_double;
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operator := (const v:Tvector3_single) result:Tvector3_extended;
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operator := (const v:Tvector3_double) result:Tvector3_single;
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operator := (const v:Tvector3_double) result:Tvector3_extended;
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operator := (const v:Tvector3_extended) result:Tvector3_single;
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operator := (const v:Tvector3_extended) result:Tvector3_double;
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operator := (const v:Tvector3_single) result:Tvector4_single;
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operator := (const v:Tvector3_single) result:Tvector4_double;
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operator := (const v:Tvector3_single) result:Tvector4_extended;
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operator := (const v:Tvector3_double) result:Tvector4_single;
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operator := (const v:Tvector3_double) result:Tvector4_double;
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operator := (const v:Tvector3_double) result:Tvector4_extended;
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operator := (const v:Tvector3_extended) result:Tvector4_single;
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operator := (const v:Tvector3_extended) result:Tvector4_double;
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operator := (const v:Tvector3_extended) result:Tvector4_extended;
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operator := (const v:Tvector4_single) result:Tvector2_single;
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operator := (const v:Tvector4_single) result:Tvector2_double;
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operator := (const v:Tvector4_single) result:Tvector2_extended;
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operator := (const v:Tvector4_double) result:Tvector2_single;
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operator := (const v:Tvector4_double) result:Tvector2_double;
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operator := (const v:Tvector4_double) result:Tvector2_extended;
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operator := (const v:Tvector4_extended) result:Tvector2_single;
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operator := (const v:Tvector4_extended) result:Tvector2_double;
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operator := (const v:Tvector4_extended) result:Tvector2_extended;
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operator := (const v:Tvector4_single) result:Tvector3_single;
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operator := (const v:Tvector4_single) result:Tvector3_double;
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operator := (const v:Tvector4_single) result:Tvector3_extended;
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operator := (const v:Tvector4_double) result:Tvector3_single;
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operator := (const v:Tvector4_double) result:Tvector3_double;
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operator := (const v:Tvector4_double) result:Tvector3_extended;
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operator := (const v:Tvector4_extended) result:Tvector3_single;
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operator := (const v:Tvector4_extended) result:Tvector3_double;
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operator := (const v:Tvector4_extended) result:Tvector3_extended;
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operator := (const v:Tvector4_single) result:Tvector4_double;
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operator := (const v:Tvector4_single) result:Tvector4_extended;
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operator := (const v:Tvector4_double) result:Tvector4_single;
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operator := (const v:Tvector4_double) result:Tvector4_extended;
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operator := (const v:Tvector4_extended) result:Tvector4_single;
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operator := (const v:Tvector4_extended) result:Tvector4_double;
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{Vector to vector operations.}
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operator + (const x,y:Tvector2_single) result:Tvector2_single;
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operator + (const x,y:Tvector2_double) result:Tvector2_double;
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operator + (const x,y:Tvector2_extended) result:Tvector2_extended;
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operator + (const x,y:Tvector3_single) result:Tvector3_single;
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operator + (const x,y:Tvector3_double) result:Tvector3_double;
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operator + (const x,y:Tvector3_extended) result:Tvector3_extended;
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operator + (const x,y:Tvector4_single) result:Tvector4_single;
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operator + (const x,y:Tvector4_double) result:Tvector4_double;
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operator + (const x,y:Tvector4_extended) result:Tvector4_extended;
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operator - (const x,y:Tvector2_single) result:Tvector2_single;
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operator - (const x,y:Tvector2_double) result:Tvector2_double;
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operator - (const x,y:Tvector2_extended) result:Tvector2_extended;
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operator - (const x,y:Tvector3_single) result:Tvector3_single;
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operator - (const x,y:Tvector3_double) result:Tvector3_double;
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operator - (const x,y:Tvector3_extended) result:Tvector3_extended;
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operator - (const x,y:Tvector4_single) result:Tvector4_single;
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operator - (const x,y:Tvector4_double) result:Tvector4_double;
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operator - (const x,y:Tvector4_extended) result:Tvector4_extended;
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operator - (const x:Tvector2_single) result:Tvector2_single;
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operator - (const x:Tvector2_double) result:Tvector2_double;
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operator - (const x:Tvector2_extended) result:Tvector2_extended;
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operator - (const x:Tvector3_single) result:Tvector3_single;
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operator - (const x:Tvector3_double) result:Tvector3_double;
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operator - (const x:Tvector3_extended) result:Tvector3_extended;
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operator - (const x:Tvector4_single) result:Tvector4_single;
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operator - (const x:Tvector4_double) result:Tvector4_double;
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operator - (const x:Tvector4_extended) result:Tvector4_extended;
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operator * (const x,y:Tvector2_single) result:Tvector2_single;
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operator * (const x,y:Tvector2_double) result:Tvector2_double;
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operator * (const x,y:Tvector2_extended) result:Tvector2_extended;
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operator * (const x,y:Tvector3_single) result:Tvector3_single;
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operator * (const x,y:Tvector3_double) result:Tvector3_double;
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operator * (const x,y:Tvector3_extended) result:Tvector3_extended;
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operator * (const x,y:Tvector4_single) result:Tvector4_single;
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operator * (const x,y:Tvector4_double) result:Tvector4_double;
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operator * (const x,y:Tvector4_extended) result:Tvector4_extended;
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operator ** (const x,y:Tvector2_single) result:single;
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operator ** (const x,y:Tvector2_double) result:double;
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operator ** (const x,y:Tvector2_extended) result:extended;
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operator ** (const x,y:Tvector3_single) result:single;
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operator ** (const x,y:Tvector3_double) result:double;
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operator ** (const x,y:Tvector3_extended) result:extended;
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operator ** (const x,y:Tvector4_single) result:single;
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operator ** (const x,y:Tvector4_double) result:double;
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operator ** (const x,y:Tvector4_extended) result:extended;
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operator >< (const x,y:Tvector3_single) result:Tvector3_single;
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operator >< (const x,y:Tvector3_double) result:Tvector3_double;
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operator >< (const x,y:Tvector3_extended) result:Tvector3_extended;
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{Vector/scalar operations.}
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operator + (const x:Tvector2_single;y:single) result:Tvector2_single;
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operator + (const x:Tvector2_double;y:double) result:Tvector2_double;
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operator + (const x:Tvector2_extended;y:extended) result:Tvector2_extended;
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operator + (const x:Tvector3_single;y:single) result:Tvector3_single;
|
|
operator + (const x:Tvector3_double;y:double) result:Tvector3_double;
|
|
operator + (const x:Tvector3_extended;y:extended) result:Tvector3_extended;
|
|
operator + (const x:Tvector4_single;y:single) result:Tvector4_single;
|
|
operator + (const x:Tvector4_double;y:double) result:Tvector4_double;
|
|
operator + (const x:Tvector4_extended;y:extended) result:Tvector4_extended;
|
|
|
|
operator - (const x:Tvector2_single;y:single) result:Tvector2_single;
|
|
operator - (const x:Tvector2_double;y:double) result:Tvector2_double;
|
|
operator - (const x:Tvector2_extended;y:extended) result:Tvector2_extended;
|
|
operator - (const x:Tvector3_single;y:single) result:Tvector3_single;
|
|
operator - (const x:Tvector3_double;y:double) result:Tvector3_double;
|
|
operator - (const x:Tvector3_extended;y:extended) result:Tvector3_extended;
|
|
operator - (const x:Tvector4_single;y:single) result:Tvector4_single;
|
|
operator - (const x:Tvector4_double;y:double) result:Tvector4_double;
|
|
operator - (const x:Tvector4_extended;y:extended) result:Tvector4_extended;
|
|
|
|
operator * (const x:Tvector2_single;y:single) result:Tvector2_single;
|
|
operator * (const x:Tvector2_double;y:double) result:Tvector2_double;
|
|
operator * (const x:Tvector2_extended;y:extended) result:Tvector2_extended;
|
|
operator * (const x:Tvector3_single;y:single) result:Tvector3_single;
|
|
operator * (const x:Tvector3_double;y:double) result:Tvector3_double;
|
|
operator * (const x:Tvector3_extended;y:extended) result:Tvector3_extended;
|
|
operator * (const x:Tvector4_single;y:single) result:Tvector4_single;
|
|
operator * (const x:Tvector4_double;y:double) result:Tvector4_double;
|
|
operator * (const x:Tvector4_extended;y:extended) result:Tvector4_extended;
|
|
|
|
operator / (const x:Tvector2_single;y:single) result:Tvector2_single;
|
|
operator / (const x:Tvector2_double;y:double) result:Tvector2_double;
|
|
operator / (const x:Tvector2_extended;y:extended) result:Tvector2_extended;
|
|
operator / (const x:Tvector3_single;y:single) result:Tvector3_single;
|
|
operator / (const x:Tvector3_double;y:double) result:Tvector3_double;
|
|
operator / (const x:Tvector3_extended;y:extended) result:Tvector3_extended;
|
|
operator / (const x:Tvector4_single;y:single) result:Tvector4_single;
|
|
operator / (const x:Tvector4_double;y:double) result:Tvector4_double;
|
|
operator / (const x:Tvector4_extended;y:extended) result:Tvector4_extended;
|
|
|
|
{Operators to make different matrixes assignable to each other}
|
|
operator := (const v:Tmatrix2_single) result:Tmatrix2_double;
|
|
operator := (const v:Tmatrix2_single) result:Tmatrix2_extended;
|
|
operator := (const v:Tmatrix2_double) result:Tmatrix2_single;
|
|
operator := (const v:Tmatrix2_double) result:Tmatrix2_extended;
|
|
operator := (const v:Tmatrix2_extended) result:Tmatrix2_single;
|
|
operator := (const v:Tmatrix2_extended) result:Tmatrix2_double;
|
|
|
|
operator := (const v:Tmatrix2_single) result:Tmatrix3_single;
|
|
operator := (const v:Tmatrix2_single) result:Tmatrix3_double;
|
|
operator := (const v:Tmatrix2_single) result:Tmatrix3_extended;
|
|
operator := (const v:Tmatrix2_double) result:Tmatrix3_single;
|
|
operator := (const v:Tmatrix2_double) result:Tmatrix3_double;
|
|
operator := (const v:Tmatrix2_double) result:Tmatrix3_extended;
|
|
operator := (const v:Tmatrix2_extended) result:Tmatrix3_single;
|
|
operator := (const v:Tmatrix2_extended) result:Tmatrix3_double;
|
|
operator := (const v:Tmatrix2_extended) result:Tmatrix3_extended;
|
|
|
|
operator := (const v:Tmatrix2_single) result:Tmatrix4_single;
|
|
operator := (const v:Tmatrix2_single) result:Tmatrix4_double;
|
|
operator := (const v:Tmatrix2_single) result:Tmatrix4_extended;
|
|
operator := (const v:Tmatrix2_double) result:Tmatrix4_single;
|
|
operator := (const v:Tmatrix2_double) result:Tmatrix4_double;
|
|
operator := (const v:Tmatrix2_double) result:Tmatrix4_extended;
|
|
operator := (const v:Tmatrix2_extended) result:Tmatrix4_single;
|
|
operator := (const v:Tmatrix2_extended) result:Tmatrix4_double;
|
|
operator := (const v:Tmatrix2_extended) result:Tmatrix4_extended;
|
|
|
|
operator := (const v:Tmatrix3_single) result:Tmatrix2_single;
|
|
operator := (const v:Tmatrix3_single) result:Tmatrix2_double;
|
|
operator := (const v:Tmatrix3_single) result:Tmatrix2_extended;
|
|
operator := (const v:Tmatrix3_double) result:Tmatrix2_single;
|
|
operator := (const v:Tmatrix3_double) result:Tmatrix2_double;
|
|
operator := (const v:Tmatrix3_double) result:Tmatrix2_extended;
|
|
operator := (const v:Tmatrix3_extended) result:Tmatrix2_single;
|
|
operator := (const v:Tmatrix3_extended) result:Tmatrix2_double;
|
|
operator := (const v:Tmatrix3_extended) result:Tmatrix2_extended;
|
|
|
|
operator := (const v:Tmatrix3_single) result:Tmatrix3_double;
|
|
operator := (const v:Tmatrix3_single) result:Tmatrix3_extended;
|
|
operator := (const v:Tmatrix3_double) result:Tmatrix3_single;
|
|
operator := (const v:Tmatrix3_double) result:Tmatrix3_extended;
|
|
operator := (const v:Tmatrix3_extended) result:Tmatrix3_single;
|
|
operator := (const v:Tmatrix3_extended) result:Tmatrix3_double;
|
|
|
|
operator := (const v:Tmatrix3_single) result:Tmatrix4_single;
|
|
operator := (const v:Tmatrix3_single) result:Tmatrix4_double;
|
|
operator := (const v:Tmatrix3_single) result:Tmatrix4_extended;
|
|
operator := (const v:Tmatrix3_double) result:Tmatrix4_single;
|
|
operator := (const v:Tmatrix3_double) result:Tmatrix4_double;
|
|
operator := (const v:Tmatrix3_double) result:Tmatrix4_extended;
|
|
operator := (const v:Tmatrix3_extended) result:Tmatrix4_single;
|
|
operator := (const v:Tmatrix3_extended) result:Tmatrix4_double;
|
|
operator := (const v:Tmatrix3_extended) result:Tmatrix4_extended;
|
|
|
|
operator := (const v:Tmatrix4_single) result:Tmatrix2_single;
|
|
operator := (const v:Tmatrix4_single) result:Tmatrix2_double;
|
|
operator := (const v:Tmatrix4_single) result:Tmatrix2_extended;
|
|
operator := (const v:Tmatrix4_double) result:Tmatrix2_single;
|
|
operator := (const v:Tmatrix4_double) result:Tmatrix2_double;
|
|
operator := (const v:Tmatrix4_double) result:Tmatrix2_extended;
|
|
operator := (const v:Tmatrix4_extended) result:Tmatrix2_single;
|
|
operator := (const v:Tmatrix4_extended) result:Tmatrix2_double;
|
|
operator := (const v:Tmatrix4_extended) result:Tmatrix2_extended;
|
|
|
|
operator := (const v:Tmatrix4_single) result:Tmatrix3_single;
|
|
operator := (const v:Tmatrix4_single) result:Tmatrix3_double;
|
|
operator := (const v:Tmatrix4_single) result:Tmatrix3_extended;
|
|
operator := (const v:Tmatrix4_double) result:Tmatrix3_single;
|
|
operator := (const v:Tmatrix4_double) result:Tmatrix3_double;
|
|
operator := (const v:Tmatrix4_double) result:Tmatrix3_extended;
|
|
operator := (const v:Tmatrix4_extended) result:Tmatrix3_single;
|
|
operator := (const v:Tmatrix4_extended) result:Tmatrix3_double;
|
|
operator := (const v:Tmatrix4_extended) result:Tmatrix3_extended;
|
|
|
|
operator := (const v:Tmatrix4_single) result:Tmatrix4_double;
|
|
operator := (const v:Tmatrix4_single) result:Tmatrix4_extended;
|
|
operator := (const v:Tmatrix4_double) result:Tmatrix4_single;
|
|
operator := (const v:Tmatrix4_double) result:Tmatrix4_extended;
|
|
operator := (const v:Tmatrix4_extended) result:Tmatrix4_single;
|
|
operator := (const v:Tmatrix4_extended) result:Tmatrix4_double;
|
|
|
|
{Matrix to matrix operatons.}
|
|
operator + (const m1,m2:Tmatrix2_single) result:Tmatrix2_single;
|
|
operator + (const m1,m2:Tmatrix2_double) result:Tmatrix2_double;
|
|
operator + (const m1,m2:Tmatrix2_extended) result:Tmatrix2_extended;
|
|
operator + (const m1,m2:Tmatrix3_single) result:Tmatrix3_single;
|
|
operator + (const m1,m2:Tmatrix3_double) result:Tmatrix3_double;
|
|
operator + (const m1,m2:Tmatrix3_extended) result:Tmatrix3_extended;
|
|
operator + (const m1,m2:Tmatrix4_single) result:Tmatrix4_single;
|
|
operator + (const m1,m2:Tmatrix4_double) result:Tmatrix4_double;
|
|
operator + (const m1,m2:Tmatrix4_extended) result:Tmatrix4_extended;
|
|
|
|
operator - (const m1,m2:Tmatrix2_single) result:Tmatrix2_single;
|
|
operator - (const m1,m2:Tmatrix2_double) result:Tmatrix2_double;
|
|
operator - (const m1,m2:Tmatrix2_extended) result:Tmatrix2_extended;
|
|
operator - (const m1,m2:Tmatrix3_single) result:Tmatrix3_single;
|
|
operator - (const m1,m2:Tmatrix3_double) result:Tmatrix3_double;
|
|
operator - (const m1,m2:Tmatrix3_extended) result:Tmatrix3_extended;
|
|
operator - (const m1,m2:Tmatrix4_single) result:Tmatrix4_single;
|
|
operator - (const m1,m2:Tmatrix4_double) result:Tmatrix4_double;
|
|
operator - (const m1,m2:Tmatrix4_extended) result:Tmatrix4_extended;
|
|
|
|
operator - (const m1:Tmatrix2_single) result:Tmatrix2_single;
|
|
operator - (const m1:Tmatrix2_double) result:Tmatrix2_double;
|
|
operator - (const m1:Tmatrix2_extended) result:Tmatrix2_extended;
|
|
operator - (const m1:Tmatrix3_single) result:Tmatrix3_single;
|
|
operator - (const m1:Tmatrix3_double) result:Tmatrix3_double;
|
|
operator - (const m1:Tmatrix3_extended) result:Tmatrix3_extended;
|
|
operator - (const m1:Tmatrix4_single) result:Tmatrix4_single;
|
|
operator - (const m1:Tmatrix4_double) result:Tmatrix4_double;
|
|
operator - (const m1:Tmatrix4_extended) result:Tmatrix4_extended;
|
|
|
|
operator * (const m1,m2:Tmatrix2_single) result:Tmatrix2_single;
|
|
operator * (const m1,m2:Tmatrix2_double) result:Tmatrix2_double;
|
|
operator * (const m1,m2:Tmatrix2_extended) result:Tmatrix2_extended;
|
|
operator * (const m1,m2:Tmatrix3_single) result:Tmatrix3_single;
|
|
operator * (const m1,m2:Tmatrix3_double) result:Tmatrix3_double;
|
|
operator * (const m1,m2:Tmatrix3_extended) result:Tmatrix3_extended;
|
|
operator * (const m1,m2:Tmatrix4_single) result:Tmatrix4_single;
|
|
operator * (const m1,m2:Tmatrix4_double) result:Tmatrix4_double;
|
|
operator * (const m1,m2:Tmatrix4_extended) result:Tmatrix4_extended;
|
|
|
|
{Matrix/vector operations}
|
|
operator * (const m:Tmatrix2_single;const v:Tvector2_single) result:Tvector2_single;
|
|
operator * (const m:Tmatrix2_double;const v:Tvector2_double) result:Tvector2_double;
|
|
operator * (const m:Tmatrix2_extended;const v:Tvector2_extended) result:Tvector2_extended;
|
|
operator * (const m:Tmatrix3_single;const v:Tvector3_single) result:Tvector3_single;
|
|
operator * (const m:Tmatrix3_double;const v:Tvector3_double) result:Tvector3_double;
|
|
operator * (const m:Tmatrix3_extended;const v:Tvector3_extended) result:Tvector3_extended;
|
|
operator * (const m:Tmatrix4_single;const v:Tvector4_single) result:Tvector4_single;
|
|
operator * (const m:Tmatrix4_double;const v:Tvector4_double) result:Tvector4_double;
|
|
operator * (const m:Tmatrix4_extended;const v:Tvector4_extended) result:Tvector4_extended;
|
|
|
|
{Matrix/scalar operations}
|
|
operator + (const m:Tmatrix2_single;const x:single) result:Tmatrix2_single;
|
|
operator + (const m:Tmatrix2_double;const x:double) result:Tmatrix2_double;
|
|
operator + (const m:Tmatrix2_extended;const x:extended) result:Tmatrix2_extended;
|
|
operator + (const m:Tmatrix3_single;const x:single) result:Tmatrix3_single;
|
|
operator + (const m:Tmatrix3_double;const x:double) result:Tmatrix3_double;
|
|
operator + (const m:Tmatrix3_extended;const x:extended) result:Tmatrix3_extended;
|
|
operator + (const m:Tmatrix4_single;const x:single) result:Tmatrix4_single;
|
|
operator + (const m:Tmatrix4_double;const x:double) result:Tmatrix4_double;
|
|
operator + (const m:Tmatrix4_extended;const x:extended) result:Tmatrix4_extended;
|
|
|
|
operator - (const m:Tmatrix2_single;const x:single) result:Tmatrix2_single;
|
|
operator - (const m:Tmatrix2_double;const x:double) result:Tmatrix2_double;
|
|
operator - (const m:Tmatrix2_extended;const x:extended) result:Tmatrix2_extended;
|
|
operator - (const m:Tmatrix3_single;const x:single) result:Tmatrix3_single;
|
|
operator - (const m:Tmatrix3_double;const x:double) result:Tmatrix3_double;
|
|
operator - (const m:Tmatrix3_extended;const x:extended) result:Tmatrix3_extended;
|
|
operator - (const m:Tmatrix4_single;const x:single) result:Tmatrix4_single;
|
|
operator - (const m:Tmatrix4_double;const x:double) result:Tmatrix4_double;
|
|
operator - (const m:Tmatrix4_extended;const x:extended) result:Tmatrix4_extended;
|
|
|
|
operator * (const m:Tmatrix2_single;const x:single) result:Tmatrix2_single;
|
|
operator * (const m:Tmatrix2_double;const x:double) result:Tmatrix2_double;
|
|
operator * (const m:Tmatrix2_extended;const x:extended) result:Tmatrix2_extended;
|
|
operator * (const m:Tmatrix3_single;const x:single) result:Tmatrix3_single;
|
|
operator * (const m:Tmatrix3_double;const x:double) result:Tmatrix3_double;
|
|
operator * (const m:Tmatrix3_extended;const x:extended) result:Tmatrix3_extended;
|
|
operator * (const m:Tmatrix4_single;const x:single) result:Tmatrix4_single;
|
|
operator * (const m:Tmatrix4_double;const x:double) result:Tmatrix4_double;
|
|
operator * (const m:Tmatrix4_extended;const x:extended) result:Tmatrix4_extended;
|
|
|
|
operator / (const m:Tmatrix2_single;const x:single) result:Tmatrix2_single;
|
|
operator / (const m:Tmatrix2_double;const x:double) result:Tmatrix2_double;
|
|
operator / (const m:Tmatrix2_extended;const x:extended) result:Tmatrix2_extended;
|
|
operator / (const m:Tmatrix3_single;const x:single) result:Tmatrix3_single;
|
|
operator / (const m:Tmatrix3_double;const x:double) result:Tmatrix3_double;
|
|
operator / (const m:Tmatrix3_extended;const x:extended) result:Tmatrix3_extended;
|
|
operator / (const m:Tmatrix4_single;const x:single) result:Tmatrix4_single;
|
|
operator / (const m:Tmatrix4_double;const x:double) result:Tmatrix4_double;
|
|
operator / (const m:Tmatrix4_extended;const x:extended) result:Tmatrix4_extended;
|
|
|
|
{*****************************************************************************}
|
|
|
|
implementation
|
|
|
|
{*****************************************************************************}
|
|
|
|
{******************************************************************************
|
|
Tvector2_single
|
|
******************************************************************************}
|
|
|
|
{Need to use capitals due to bug in FPC. Bug was fixed in FPC 1.9.3 on
|
|
10 Feb. 2004}
|
|
{$DEFINE datatype:=SINGLE}
|
|
{$DEFINE objectname:=Tvector2_single}
|
|
{$DEFINE vecsize:=2}
|
|
{$INFO Compile mvecimp.inc for Tvector2_single}
|
|
{$i mvecimp.inc}
|
|
|
|
{******************************************************************************
|
|
Tvector2_double
|
|
******************************************************************************}
|
|
|
|
{$DEFINE datatype:=DOUBLE}
|
|
{$DEFINE objectname:=Tvector2_double}
|
|
{$DEFINE vecsize:=2}
|
|
{$INFO Compile mvecimp.inc for Tvector2_double}
|
|
{$i mvecimp.inc}
|
|
|
|
{******************************************************************************
|
|
Tvector2_extended
|
|
******************************************************************************}
|
|
|
|
{$DEFINE datatype:=EXTENDED}
|
|
{$DEFINE objectname:=Tvector2_extended}
|
|
{$DEFINE vecsize:=2}
|
|
{$INFO Compile mvecimp.inc for Tvector2_extended}
|
|
{$i mvecimp.inc}
|
|
|
|
{******************************************************************************
|
|
Tvector3_single
|
|
******************************************************************************}
|
|
|
|
{Need to use capitals due to bug in FPC. Bug was fixed in FPC 1.9.3 on
|
|
10 Feb. 2004}
|
|
{$DEFINE datatype:=SINGLE}
|
|
{$DEFINE objectname:=Tvector3_single}
|
|
{$DEFINE vecsize:=3}
|
|
{$INFO Compile mvecimp.inc for Tvector3_single}
|
|
{$i mvecimp.inc}
|
|
|
|
{******************************************************************************
|
|
Tvector3_double
|
|
******************************************************************************}
|
|
|
|
{$DEFINE datatype:=DOUBLE}
|
|
{$DEFINE objectname:=Tvector3_double}
|
|
{$DEFINE vecsize:=3}
|
|
{$INFO Compile mvecimp.inc for Tvector3_double}
|
|
{$i mvecimp.inc}
|
|
|
|
{******************************************************************************
|
|
Tvector3_extended
|
|
******************************************************************************}
|
|
|
|
{$DEFINE datatype:=EXTENDED}
|
|
{$DEFINE objectname:=Tvector3_extended}
|
|
{$DEFINE vecsize:=3}
|
|
{$INFO Compile mvecimp.inc for Tvector3_extended}
|
|
{$i mvecimp.inc}
|
|
|
|
|
|
{******************************************************************************
|
|
Tvector4_single
|
|
******************************************************************************}
|
|
|
|
{Need to use capitals due to bug in FPC. Bug was fixed in FPC 1.9.3 on
|
|
10 Feb. 2004}
|
|
{$DEFINE datatype:=SINGLE}
|
|
{$DEFINE objectname:=Tvector4_single}
|
|
{$DEFINE vecsize:=4}
|
|
{$INFO Compile mvecimp.inc for Tvector4_single}
|
|
{$i mvecimp.inc}
|
|
|
|
{******************************************************************************
|
|
Tvector4_double
|
|
******************************************************************************}
|
|
|
|
{$DEFINE datatype:=DOUBLE}
|
|
{$DEFINE objectname:=Tvector4_double}
|
|
{$DEFINE vecsize:=4}
|
|
{$INFO Compile mvecimp.inc for Tvector4_double}
|
|
{$i mvecimp.inc}
|
|
|
|
{******************************************************************************
|
|
Tvector4_extended
|
|
******************************************************************************}
|
|
|
|
{$DEFINE datatype:=EXTENDED}
|
|
{$DEFINE objectname:=Tvector4_extended}
|
|
{$DEFINE vecsize:=4}
|
|
{$INFO Compile mvecimp.inc for Tvector4_extended}
|
|
{$i mvecimp.inc}
|
|
|
|
{******************************************************************************
|
|
Tmatrix2_single
|
|
******************************************************************************}
|
|
|
|
{$DEFINE datatype:=SINGLE}
|
|
{$DEFINE objectname:=Tmatrix2_single}
|
|
{$DEFINE vectorcompanion:=Tvector2_single}
|
|
{$DEFINE matsize:=2}
|
|
{$INFO Compile mmatimp.inc for Tmatrix2_single}
|
|
{$i mmatimp.inc}
|
|
|
|
{******************************************************************************
|
|
Tmatrix2_double
|
|
******************************************************************************}
|
|
|
|
{$DEFINE datatype:=DOUBLE}
|
|
{$DEFINE objectname:=Tmatrix2_double}
|
|
{$DEFINE vectorcompanion:=Tvector2_double}
|
|
{$DEFINE matsize:=2}
|
|
{$INFO Compile mmatimp.inc for Tmatrix2_double}
|
|
{$i mmatimp.inc}
|
|
|
|
{******************************************************************************
|
|
Tmatrix2_extended
|
|
******************************************************************************}
|
|
|
|
{$DEFINE datatype:=EXTENDED}
|
|
{$DEFINE objectname:=Tmatrix2_extended}
|
|
{$DEFINE vectorcompanion:=Tvector2_extended}
|
|
{$DEFINE matsize:=2}
|
|
{$INFO Compile mmatimp.inc for Tmatrix2_extended}
|
|
{$i mmatimp.inc}
|
|
|
|
{******************************************************************************
|
|
Tmatrix3_single
|
|
******************************************************************************}
|
|
|
|
{$DEFINE datatype:=SINGLE}
|
|
{$DEFINE objectname:=Tmatrix3_single}
|
|
{$DEFINE vectorcompanion:=Tvector3_single}
|
|
{$DEFINE matsize:=3}
|
|
{$INFO Compile mmatimp.inc for Tmatrix3_single}
|
|
{$i mmatimp.inc}
|
|
|
|
{******************************************************************************
|
|
Tmatrix3_double
|
|
******************************************************************************}
|
|
|
|
{$DEFINE datatype:=DOUBLE}
|
|
{$DEFINE objectname:=Tmatrix3_double}
|
|
{$DEFINE vectorcompanion:=Tvector3_double}
|
|
{$DEFINE matsize:=3}
|
|
{$INFO Compile mmatimp.inc for Tmatrix3_double}
|
|
{$i mmatimp.inc}
|
|
|
|
{******************************************************************************
|
|
Tmatrix3_extended
|
|
******************************************************************************}
|
|
|
|
{$DEFINE datatype:=EXTENDED}
|
|
{$DEFINE objectname:=Tmatrix3_extended}
|
|
{$DEFINE vectorcompanion:=Tvector3_extended}
|
|
{$DEFINE matsize:=3}
|
|
{$INFO Compile mmatimp.inc for Tmatrix3_extended}
|
|
{$i mmatimp.inc}
|
|
|
|
{******************************************************************************
|
|
Tmatrix4_single
|
|
******************************************************************************}
|
|
|
|
{$DEFINE datatype:=SINGLE}
|
|
{$DEFINE objectname:=Tmatrix4_single}
|
|
{$DEFINE vectorcompanion:=Tvector4_single}
|
|
{$DEFINE matsize:=4}
|
|
{$INFO Compile mmatimp.inc for Tmatrix4_single}
|
|
{$i mmatimp.inc}
|
|
|
|
{******************************************************************************
|
|
Tmatrix4_double
|
|
******************************************************************************}
|
|
|
|
{$DEFINE datatype:=DOUBLE}
|
|
{$DEFINE objectname:=Tmatrix4_double}
|
|
{$DEFINE vectorcompanion:=Tvector4_double}
|
|
{$DEFINE matsize:=4}
|
|
{$INFO Compile mmatimp.inc for Tmatrix4_double}
|
|
{$i mmatimp.inc}
|
|
|
|
{******************************************************************************
|
|
Tmatrix4_extended
|
|
******************************************************************************}
|
|
|
|
{$DEFINE datatype:=EXTENDED}
|
|
{$DEFINE objectname:=Tmatrix4_extended}
|
|
{$DEFINE vectorcompanion:=Tvector4_extended}
|
|
{$DEFINE matsize:=4}
|
|
{$INFO Compile mmatimp.inc for Tmatrix4_extended}
|
|
{$i mmatimp.inc}
|
|
|
|
end.
|