hedgewars/uMatrix.pas
author Wuzzy <Wuzzy2@mail.ru>
Sat, 18 May 2019 00:55:59 +0200
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(*
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 * Hedgewars, a free turn based strategy game
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 * Copyright (c) 2004-2012 Andrey Korotaev <unC0Rr@gmail.com>
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 *
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 * This program is free software; you can redistribute it and/or modify
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 * it under the terms of the GNU General Public License as published by
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 * the Free Software Foundation; version 2 of the License
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 *
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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.  See the
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 * GNU General Public License for more details.
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 *
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 * You should have received a copy of the GNU General Public License
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 * along with this program; if not, write to the Free Software
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 * Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA  02110-1301  USA
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 *)
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{$INCLUDE "options.inc"}
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unit uMatrix;
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interface
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uses uTypes {$IFNDEF PAS2C}, gl{$ENDIF};
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const
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    MATRIX_MODELVIEW:Integer = 0;
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    MATRIX_PROJECTION:Integer = 1;
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procedure MatrixLoadIdentity(out Result: TMatrix4x4f);
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procedure MatrixMultiply(out Result: TMatrix4x4f; const lhs, rhs: TMatrix4x4f);
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procedure hglMatrixMode(t: Integer);
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procedure hglLoadIdentity();
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procedure hglPushMatrix();
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procedure hglPopMatrix();
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procedure hglMVP(var res : TMatrix4x4f);
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procedure hglScalef(x: GLfloat; y: GLfloat; z: GLfloat);
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procedure hglTranslatef(x: GLfloat; y: GLfloat; z: GLfloat);
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procedure hglRotatef(a:GLfloat; x:GLfloat; y:GLfloat; z:GLfloat);
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procedure initModule();
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procedure freeModule();
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implementation
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uses uDebug;
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const
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    MATRIX_STACK_SIZE = 10;
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type
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    TMatrixStack = record
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        top:Integer;
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        stack: array[0..9] of TMatrix4x4f;
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        end;
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var
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    MatrixStacks : array[0..1] of TMatrixStack;
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    CurMatrix: integer;
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procedure MatrixLoadIdentity(out Result: TMatrix4x4f);
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begin
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    Result[0,0]:= 1.0; Result[1,0]:=0.0; Result[2,0]:=0.0; Result[3,0]:=0.0;
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    Result[0,1]:= 0.0; Result[1,1]:=1.0; Result[2,1]:=0.0; Result[3,1]:=0.0;
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    Result[0,2]:= 0.0; Result[1,2]:=0.0; Result[2,2]:=1.0; Result[3,2]:=0.0;
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    Result[0,3]:= 0.0; Result[1,3]:=0.0; Result[2,3]:=0.0; Result[3,3]:=1.0;
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end;
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procedure hglMatrixMode(t: Integer);
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begin
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    CurMatrix := t;
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end;
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procedure hglLoadIdentity();
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begin
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    MatrixLoadIdentity(MatrixStacks[CurMatrix].stack[MatrixStacks[CurMatrix].top]);
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end;
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procedure hglScalef(x: GLfloat; y: GLfloat; z: GLfloat);
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var
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    m:TMatrix4x4f;
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    t:TMatrix4x4f;
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begin
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    m[0,0]:=x;m[1,0]:=0;m[2,0]:=0;m[3,0]:=0;
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    m[0,1]:=0;m[1,1]:=y;m[2,1]:=0;m[3,1]:=0;
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    m[0,2]:=0;m[1,2]:=0;m[2,2]:=z;m[3,2]:=0;
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    m[0,3]:=0;m[1,3]:=0;m[2,3]:=0;m[3,3]:=1;
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    MatrixMultiply(t, MatrixStacks[CurMatrix].stack[MatrixStacks[CurMatrix].top], m);
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    MatrixStacks[CurMatrix].stack[MatrixStacks[CurMatrix].top] := t;
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end;
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procedure hglTranslatef(x: GLfloat; y: GLfloat; z: GLfloat);
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var
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    m:TMatrix4x4f;
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    t:TMatrix4x4f;
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begin
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    m[0,0]:=1;m[1,0]:=0;m[2,0]:=0;m[3,0]:=x;
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    m[0,1]:=0;m[1,1]:=1;m[2,1]:=0;m[3,1]:=y;
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    m[0,2]:=0;m[1,2]:=0;m[2,2]:=1;m[3,2]:=z;
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    m[0,3]:=0;m[1,3]:=0;m[2,3]:=0;m[3,3]:=1;
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    MatrixMultiply(t, MatrixStacks[CurMatrix].stack[MatrixStacks[CurMatrix].top], m);
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    MatrixStacks[CurMatrix].stack[MatrixStacks[CurMatrix].top] := t;
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end;
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procedure hglRotatef(a:GLfloat; x:GLfloat; y:GLfloat; z:GLfloat);
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var
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    m:TMatrix4x4f;
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    t:TMatrix4x4f;
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    c:GLfloat;
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    s:GLfloat;
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    xn, yn, zn:GLfloat;
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    l:GLfloat;
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begin
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    a:=a * 3.14159265368 / 180;
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    c:=cos(a);
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    s:=sin(a);
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    l := 1.0 / sqrt(x * x + y * y + z * z);
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    xn := x * l;
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    yn := y * l;
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    zn := z * l;
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    m[0,0]:=c + xn * xn * (1 - c);
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    m[1,0]:=xn * yn * (1 - c) - zn * s;
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    m[2,0]:=xn * zn * (1 - c) + yn * s;
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    m[3,0]:=0;
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    m[0,1]:=yn * xn * (1 - c) + zn * s;
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    m[1,1]:=c + yn * yn * (1 - c);
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    m[2,1]:=yn * zn * (1 - c) - xn * s;
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    m[3,1]:=0;
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    m[0,2]:=zn * xn * (1 - c) - yn * s;
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    m[1,2]:=zn * yn * (1 - c) + xn * s;
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    m[2,2]:=c + zn * zn * (1 - c);
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    m[3,2]:=0;
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    m[0,3]:=0;m[1,3]:=0;m[2,3]:=0;m[3,3]:=1;
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    MatrixMultiply(t, MatrixStacks[CurMatrix].stack[MatrixStacks[CurMatrix].top], m);
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    MatrixStacks[CurMatrix].stack[MatrixStacks[CurMatrix].top] := t;
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end;
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procedure hglMVP(var res: TMatrix4x4f);
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begin
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    MatrixMultiply(res,
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                   MatrixStacks[MATRIX_PROJECTION].stack[MatrixStacks[MATRIX_PROJECTION].top],
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                   MatrixStacks[MATRIX_MODELVIEW].stack[MatrixStacks[MATRIX_MODELVIEW].top]);
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end;
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procedure hglPushMatrix();
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var
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    t: Integer;
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begin
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    t := MatrixStacks[CurMatrix].top;
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    MatrixStacks[CurMatrix].stack[t + 1] := MatrixStacks[CurMatrix].stack[t];
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    inc(t);
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    MatrixStacks[CurMatrix].top := t;
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end;
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procedure hglPopMatrix();
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var
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    t: Integer;
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begin
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    t := MatrixStacks[CurMatrix].top;
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    dec(t);
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    MatrixStacks[CurMatrix].top := t;
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end;
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procedure initModule();
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begin
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    MatrixStacks[MATRIX_MODELVIEW].top := 0;
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    MatrixStacks[MATRIX_Projection].top := 0;
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    MatrixLoadIdentity(MatrixStacks[MATRIX_MODELVIEW].stack[0]);
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    MatrixLoadIdentity(MatrixStacks[MATRIX_PROJECTION].stack[0]);
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end;
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procedure freeModule();
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begin
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end;
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procedure MatrixMultiply(out Result: TMatrix4x4f; const lhs, rhs: TMatrix4x4f);
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var
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    test: TMatrix4x4f;
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    i, j: Integer;
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    error: boolean;
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begin
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    Result[0,0]:=lhs[0,0]*rhs[0,0] + lhs[1,0]*rhs[0,1] + lhs[2,0]*rhs[0,2] + lhs[3,0]*rhs[0,3];
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    Result[0,1]:=lhs[0,1]*rhs[0,0] + lhs[1,1]*rhs[0,1] + lhs[2,1]*rhs[0,2] + lhs[3,1]*rhs[0,3];
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    Result[0,2]:=lhs[0,2]*rhs[0,0] + lhs[1,2]*rhs[0,1] + lhs[2,2]*rhs[0,2] + lhs[3,2]*rhs[0,3];
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    Result[0,3]:=lhs[0,3]*rhs[0,0] + lhs[1,3]*rhs[0,1] + lhs[2,3]*rhs[0,2] + lhs[3,3]*rhs[0,3];
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    Result[1,0]:=lhs[0,0]*rhs[1,0] + lhs[1,0]*rhs[1,1] + lhs[2,0]*rhs[1,2] + lhs[3,0]*rhs[1,3];
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    Result[1,1]:=lhs[0,1]*rhs[1,0] + lhs[1,1]*rhs[1,1] + lhs[2,1]*rhs[1,2] + lhs[3,1]*rhs[1,3];
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    Result[1,2]:=lhs[0,2]*rhs[1,0] + lhs[1,2]*rhs[1,1] + lhs[2,2]*rhs[1,2] + lhs[3,2]*rhs[1,3];
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    Result[1,3]:=lhs[0,3]*rhs[1,0] + lhs[1,3]*rhs[1,1] + lhs[2,3]*rhs[1,2] + lhs[3,3]*rhs[1,3];
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    Result[2,0]:=lhs[0,0]*rhs[2,0] + lhs[1,0]*rhs[2,1] + lhs[2,0]*rhs[2,2] + lhs[3,0]*rhs[2,3];
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    Result[2,1]:=lhs[0,1]*rhs[2,0] + lhs[1,1]*rhs[2,1] + lhs[2,1]*rhs[2,2] + lhs[3,1]*rhs[2,3];
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    Result[2,2]:=lhs[0,2]*rhs[2,0] + lhs[1,2]*rhs[2,1] + lhs[2,2]*rhs[2,2] + lhs[3,2]*rhs[2,3];
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    Result[2,3]:=lhs[0,3]*rhs[2,0] + lhs[1,3]*rhs[2,1] + lhs[2,3]*rhs[2,2] + lhs[3,3]*rhs[2,3];
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    Result[3,0]:=lhs[0,0]*rhs[3,0] + lhs[1,0]*rhs[3,1] + lhs[2,0]*rhs[3,2] + lhs[3,0]*rhs[3,3];
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    Result[3,1]:=lhs[0,1]*rhs[3,0] + lhs[1,1]*rhs[3,1] + lhs[2,1]*rhs[3,2] + lhs[3,1]*rhs[3,3];
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    Result[3,2]:=lhs[0,2]*rhs[3,0] + lhs[1,2]*rhs[3,1] + lhs[2,2]*rhs[3,2] + lhs[3,2]*rhs[3,3];
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    Result[3,3]:=lhs[0,3]*rhs[3,0] + lhs[1,3]*rhs[3,1] + lhs[2,3]*rhs[3,2] + lhs[3,3]*rhs[3,3];
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{
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    Result[0,0]:=lhs[0,0]*rhs[0,0] + lhs[1,0]*rhs[0,1] + lhs[2,0]*rhs[0,2] + lhs[3,0]*rhs[0,3];
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    Result[0,1]:=lhs[0,0]*rhs[1,0] + lhs[1,0]*rhs[1,1] + lhs[2,0]*rhs[1,2] + lhs[3,0]*rhs[1,3];
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    Result[0,2]:=lhs[0,0]*rhs[2,0] + lhs[1,0]*rhs[2,1] + lhs[2,0]*rhs[2,2] + lhs[3,0]*rhs[2,3];
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    Result[0,3]:=lhs[0,0]*rhs[3,0] + lhs[1,0]*rhs[3,1] + lhs[2,0]*rhs[3,2] + lhs[3,0]*rhs[3,3];
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    Result[1,0]:=lhs[0,1]*rhs[0,0] + lhs[1,1]*rhs[0,1] + lhs[2,1]*rhs[0,2] + lhs[3,1]*rhs[0,3];
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    Result[1,1]:=lhs[0,1]*rhs[1,0] + lhs[1,1]*rhs[1,1] + lhs[2,1]*rhs[1,2] + lhs[3,1]*rhs[1,3];
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    Result[1,2]:=lhs[0,1]*rhs[2,0] + lhs[1,1]*rhs[2,1] + lhs[2,1]*rhs[2,2] + lhs[3,1]*rhs[2,3];
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    Result[1,3]:=lhs[0,1]*rhs[3,0] + lhs[1,1]*rhs[3,1] + lhs[2,1]*rhs[3,2] + lhs[3,1]*rhs[3,3];
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    Result[2,0]:=lhs[0,2]*rhs[0,0] + lhs[1,2]*rhs[0,1] + lhs[2,2]*rhs[0,2] + lhs[3,2]*rhs[0,3];
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    Result[2,1]:=lhs[0,2]*rhs[1,0] + lhs[1,2]*rhs[1,1] + lhs[2,2]*rhs[1,2] + lhs[3,2]*rhs[1,3];
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    Result[2,2]:=lhs[0,2]*rhs[2,0] + lhs[1,2]*rhs[2,1] + lhs[2,2]*rhs[2,2] + lhs[3,2]*rhs[2,3];
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    Result[2,3]:=lhs[0,2]*rhs[3,0] + lhs[1,2]*rhs[3,1] + lhs[2,2]*rhs[3,2] + lhs[3,2]*rhs[3,3];
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    Result[3,0]:=lhs[0,3]*rhs[0,0] + lhs[1,3]*rhs[0,1] + lhs[2,3]*rhs[0,2] + lhs[3,3]*rhs[0,3];
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    Result[3,1]:=lhs[0,3]*rhs[1,0] + lhs[1,3]*rhs[1,1] + lhs[2,3]*rhs[1,2] + lhs[3,3]*rhs[1,3];
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    Result[3,2]:=lhs[0,3]*rhs[2,0] + lhs[1,3]*rhs[2,1] + lhs[2,3]*rhs[2,2] + lhs[3,3]*rhs[2,3];
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    Result[3,3]:=lhs[0,3]*rhs[3,0] + lhs[1,3]*rhs[3,1] + lhs[2,3]*rhs[3,2] + lhs[3,3]*rhs[3,3];
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}
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    glPushMatrix;
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    glLoadMatrixf(@lhs[0, 0]);
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    glMultMatrixf(@rhs[0, 0]);
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    glGetFloatv(GL_MODELVIEW_MATRIX, @test[0, 0]);
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    glPopMatrix;
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    error:=false;
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    for i:=0 to 3 do
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      for j:=0 to 3 do
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        if Abs(test[i, j] - Result[i, j]) > 0.000001 then
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          error:=true;
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    {$IFNDEF PAS2C}
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    if error then
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    begin
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        writeln('shall:');
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        for i:=0 to 3 do
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        begin
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          for j:=0 to 3 do
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            write(test[i, j]);
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          writeln;
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        end;
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        writeln('is:');
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        for i:=0 to 3 do
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        begin
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          for j:=0 to 3 do
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            write(Result[i, j]);
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          writeln;
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        end;
13504
c41b16ac2e05 Clarify the wording of a few checkFails messages
Wuzzy <Wuzzy2@mail.ru>
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        checkFails(false, 'Error in matrix multiplication?!', true);
8026
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    end;
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    {$ENDIF}
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end;
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end.