hedgewars/uFloat.pas
author unc0rr
Sun, 11 Feb 2007 12:27:45 +0000
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(*
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 * Hedgewars, a Worms style game
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 * Copyright (c) 2007 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., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA
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 *)
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unit uFloat;
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interface
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{$IFDEF FPC}
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{$ifdef FPC_LITTLE_ENDIAN}
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type hwFloat = record
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               isNegative: boolean;
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               case byte of
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               0: (Frac, Round: Longword);
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               1: (QWordValue : QWord);
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               end;
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{$else FPC_LITTLE_ENDIAN}
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type hwFloat = record
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               isNegative: boolean;
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               case byte of
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               0: (Round, Frac: Longword);
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               1: (QWordValue : QWord);
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               end;
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{$endif FPC_LITTLE_ENDIAN}
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operator := (i: LongInt) z : hwFloat;
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operator + (z1, z2: hwFloat) z : hwFloat;
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operator - (z1, z2: hwFloat) z : hwFloat;
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operator - (z1: hwFloat) z : hwFloat;
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operator * (z1, z2: hwFloat) z : hwFloat;
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operator * (z1: hwFloat; z2: LongInt) z : hwFloat;
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operator / (z1, z2: hwFloat) z : hwFloat;
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operator < (z1, z2: hwFloat) b : boolean;
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operator > (z1, z2: hwFloat) b : boolean;
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function cstr(z: hwFloat): string;
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function hwRound(t: hwFloat): LongInt;
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function hwAbs(t: hwFloat): hwFloat;
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function hwSqr(t: hwFloat): hwFloat;
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function hwSqrt(t: hwFloat): hwFloat;
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function Distance(dx, dy: hwFloat): hwFloat;
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function AngleSin(Angle: Longword): hwFloat;
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function AngleCos(Angle: Longword): hwFloat;
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const  _1div1024: hwFloat = (isNegative: false; QWordValue:     4194304);
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      _1div10000: hwFloat = (isNegative: false; QWordValue:      429496);
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      _1div50000: hwFloat = (isNegative: false; QWordValue:       85899);
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     _1div100000: hwFloat = (isNegative: false; QWordValue:       42950);
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          _1div3: hwFloat = (isNegative: false; QWordValue:  1431655766);
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            hwPi: hwFloat = (isNegative: false; QWordValue: 13493037704);
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       _0_000004: hwFloat = (isNegative: false; QWordValue:       17179);
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         _0_0002: hwFloat = (isNegative: false; QWordValue:      858993);
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          _0_001: hwFloat = (isNegative: false; QWordValue:     4294967);
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          _0_003: hwFloat = (isNegative: false; QWordValue:    12884902);
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          _0_004: hwFloat = (isNegative: false; QWordValue:    17179869);
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          _0_005: hwFloat = (isNegative: false; QWordValue:    21474836);
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           _0_01: hwFloat = (isNegative: false; QWordValue:    42949673);
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           _0_02: hwFloat = (isNegative: false; QWordValue:    85899345);
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           _0_03: hwFloat = (isNegative: false; QWordValue:   128849018);
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           _0_08: hwFloat = (isNegative: false; QWordValue:   343597383);
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            _0_1: hwFloat = (isNegative: false; QWordValue:   429496730);
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           _0_15: hwFloat = (isNegative: false; QWordValue:   644245094);
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            _0_2: hwFloat = (isNegative: false; QWordValue:   858993459);
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           _0_25: hwFloat = (isNegative: false; QWordValue:  1073741824);
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            _0_3: hwFloat = (isNegative: false; QWordValue:  1288490189);
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           _0_35: hwFloat = (isNegative: false; QWordValue:  1503238553);
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            _0_4: hwFloat = (isNegative: false; QWordValue:  1717986918);
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           _0_45: hwFloat = (isNegative: false; QWordValue:  1932735283);
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            _0_5: hwFloat = (isNegative: false; QWordValue:  2147483648);
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           _0_55: hwFloat = (isNegative: false; QWordValue:  2362232012);
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            _0_6: hwFloat = (isNegative: false; QWordValue:  2576980377);
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            _0_7: hwFloat = (isNegative: false; QWordValue:  3006477107);
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            _0_8: hwFloat = (isNegative: false; QWordValue:  3435973837);
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           _0_84: hwFloat = (isNegative: false; QWordValue:  3607772528);
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           _0_87: hwFloat = (isNegative: false; QWordValue:  3736621547);
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            _0_9: hwFloat = (isNegative: false; QWordValue:  3865470566);
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           _0_93: hwFloat = (isNegative: false; QWordValue:  3994319585);
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           _0_96: hwFloat = (isNegative: false; QWordValue:  4123168604);
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          _0_995: hwFloat = (isNegative: false; QWordValue:  4273492459);
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          _0_999: hwFloat = (isNegative: false; QWordValue:  4290672328);
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            _1_9: hwFloat = (isNegative: false; QWordValue:  8160437862);
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         cLittle: hwFloat = (isNegative: false; QWordValue:           1);
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         cHHKick: hwFloat = (isNegative: false; QWordValue:   128849018);
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{$ENDIF}
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{$IFNDEF FPC}
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type hwFloat = Extended;
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{$ENDIF}
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implementation
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uses uConsts;
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{$IFDEF FPC}
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operator := (i: LongInt) z : hwFloat;
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begin
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z.isNegative:= i < 0;
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z.Round:= abs(i);
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z.Frac:= 0
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end;
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operator + (z1, z2: hwFloat) z : hwFloat;
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begin
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if z1.isNegative = z2.isNegative then
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   begin
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   z.isNegative:= z1.isNegative;
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   z.QWordValue:= z1.QWordValue + z2.QWordValue
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   end
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else
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   if z1.QWordValue > z2.QWordValue then
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      begin
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      z.isNegative:= z1.isNegative;
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      z.QWordValue:= z1.QWordValue - z2.QWordValue
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      end else
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      begin
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      z.isNegative:= z2.isNegative;
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      z.QWordValue:= z2.QWordValue - z1.QWordValue
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      end
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end;
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operator - (z1, z2: hwFloat) z : hwFloat;
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begin
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if z1.isNegative = z2.isNegative then
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   if z1.QWordValue > z2.QWordValue then
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      begin
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      z.isNegative:= z1.isNegative;
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      z.QWordValue:= z1.QWordValue - z2.QWordValue
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      end else
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      begin
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      z.isNegative:= not z2.isNegative;
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      z.QWordValue:= z2.QWordValue - z1.QWordValue
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      end
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else begin
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     z.isNegative:= z1.isNegative;
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     z.QWordValue:= z1.QWordValue + z2.QWordValue
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     end
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end;
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operator - (z1: hwFloat) z : hwFloat;
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begin
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z:= z1;
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z.isNegative:= not z.isNegative
29bc9c36ad5f Fixed-point arithmetics in engine.
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   160
end;
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parents:
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   161
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parents:
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   162
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operator * (z1, z2: hwFloat) z : hwFloat;
29bc9c36ad5f Fixed-point arithmetics in engine.
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parents:
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   164
begin
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   165
z.isNegative:= z1.isNegative xor z2.isNegative;
29bc9c36ad5f Fixed-point arithmetics in engine.
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   166
z.QWordValue:= QWord(z1.Round) * z2.Frac +
29bc9c36ad5f Fixed-point arithmetics in engine.
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   167
               QWord(z1.Frac) * z2.Round +
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   168
               ((QWord(z1.Frac) * z2.Frac) shr 32);
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z.Round:= z.Round + QWord(z1.Round) * z2.Round;
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   170
end;
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parents:
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   171
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   172
operator * (z1: hwFloat; z2: LongInt) z : hwFloat;
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parents:
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   173
begin
29bc9c36ad5f Fixed-point arithmetics in engine.
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   174
z.isNegative:= z1.isNegative xor (z2 < 0);
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   175
z2:= abs(z2);
355
40c68869899e Small fixes to bring engine to life
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z.QWordValue:= z1.QWordValue * z2
351
29bc9c36ad5f Fixed-point arithmetics in engine.
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   177
end;
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parents:
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   178
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   179
operator / (z1, z2: hwFloat) z : hwFloat;
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   180
var t: hwFloat;
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   181
begin
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z.isNegative:= z1.isNegative xor z2.isNegative;
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   183
z.Round:= z1.QWordValue div z2.QWordValue;
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   184
t:= z1 - z2 * z.Round;
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   185
if t.QWordValue = 0 then
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   186
   z.Frac:= 0
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   187
else
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parents:
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   188
   begin
29bc9c36ad5f Fixed-point arithmetics in engine.
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   189
   while ((t.QWordValue and $8000000000000000) = 0) and
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   190
         ((z2.QWordValue and $8000000000000000) = 0) do
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parents:
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   191
         begin
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   192
         t.QWordValue:= t.QWordValue shl 1;
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unc0rr
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   193
         z2.QWordValue:= z2.QWordValue shl 1
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
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   194
         end;
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   195
   z.Frac:= (t.QWordValue) div (z2.Round)
29bc9c36ad5f Fixed-point arithmetics in engine.
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   196
   end
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   197
end;
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parents:
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   198
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   199
operator < (z1, z2: hwFloat) b : boolean;
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   200
begin
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   201
if z1.isNegative <> z2.isNegative then
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   202
   b:= z1.isNegative
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   203
else
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   204
   if z1.QWordValue = z2.QWordValue then
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   205
      b:= false
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   206
   else
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      b:= (z1.QWordValue < z2.QWordValue) xor z1.isNegative
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   208
end;
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parents:
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   209
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   210
operator > (z1, z2: hwFloat) b : boolean;
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parents:
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   211
begin
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   212
if z1.isNegative <> z2.isNegative then
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   213
   b:= z2.isNegative
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   214
else
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parents:
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   215
   if z1.QWordValue = z2.QWordValue then
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   216
      b:= false
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   217
   else
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   218
      b:= (z1.QWordValue > z2.QWordValue) xor z2.isNegative
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   219
end;
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parents:
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   220
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   221
function cstr(z: hwFloat): string;
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parents:
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   222
var tmpstr: string;
29bc9c36ad5f Fixed-point arithmetics in engine.
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parents:
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   223
begin
29bc9c36ad5f Fixed-point arithmetics in engine.
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parents:
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   224
str(z.Round, cstr);
29bc9c36ad5f Fixed-point arithmetics in engine.
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parents:
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   225
if z.Frac <> 0 then
29bc9c36ad5f Fixed-point arithmetics in engine.
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parents:
diff changeset
   226
   begin
29bc9c36ad5f Fixed-point arithmetics in engine.
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   227
   str(z.Frac / $100000000:1:15, tmpstr);
29bc9c36ad5f Fixed-point arithmetics in engine.
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parents:
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   228
   delete(tmpstr, 1, 2);
29bc9c36ad5f Fixed-point arithmetics in engine.
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parents:
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   229
   cstr:= cstr + '.' + tmpstr
29bc9c36ad5f Fixed-point arithmetics in engine.
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parents:
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   230
   end;
29bc9c36ad5f Fixed-point arithmetics in engine.
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parents:
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   231
if z.isNegative then cstr:= '-' + cstr
29bc9c36ad5f Fixed-point arithmetics in engine.
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parents:
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   232
end;
29bc9c36ad5f Fixed-point arithmetics in engine.
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parents:
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   233
371
731ad6d27bd1 integer -> LongInt
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parents: 365
diff changeset
   234
function hwRound(t: hwFloat): LongInt;
351
29bc9c36ad5f Fixed-point arithmetics in engine.
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   235
begin
29bc9c36ad5f Fixed-point arithmetics in engine.
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   236
if t.isNegative then hwRound:= -t.Round
29bc9c36ad5f Fixed-point arithmetics in engine.
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parents:
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   237
                else hwRound:= t.Round
29bc9c36ad5f Fixed-point arithmetics in engine.
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parents:
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   238
end;
29bc9c36ad5f Fixed-point arithmetics in engine.
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parents:
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   239
29bc9c36ad5f Fixed-point arithmetics in engine.
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   240
function hwAbs(t: hwFloat): hwFloat;
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   241
begin
29bc9c36ad5f Fixed-point arithmetics in engine.
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parents:
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   242
hwAbs:= t;
29bc9c36ad5f Fixed-point arithmetics in engine.
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parents:
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   243
hwAbs.isNegative:= false
29bc9c36ad5f Fixed-point arithmetics in engine.
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parents:
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   244
end;
29bc9c36ad5f Fixed-point arithmetics in engine.
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parents:
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   245
29bc9c36ad5f Fixed-point arithmetics in engine.
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parents:
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   246
function hwSqr(t: hwFloat): hwFloat;
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   247
begin
29bc9c36ad5f Fixed-point arithmetics in engine.
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parents:
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   248
hwSqr:= t * t
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   249
end;
29bc9c36ad5f Fixed-point arithmetics in engine.
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   250
357
165a040e4cfa - Fix Blow Torch and Air Attack
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   251
function hwSqrt(t: hwFloat): hwFloat;
165a040e4cfa - Fix Blow Torch and Air Attack
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diff changeset
   252
begin
165a040e4cfa - Fix Blow Torch and Air Attack
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diff changeset
   253
hwSqrt.isNegative:= false;
165a040e4cfa - Fix Blow Torch and Air Attack
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diff changeset
   254
hwSqrt.QWordValue:= Round(sqrt(1.0 / $100000000 * (t.QWordValue)) * $100000000)
165a040e4cfa - Fix Blow Torch and Air Attack
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parents: 355
diff changeset
   255
end;
165a040e4cfa - Fix Blow Torch and Air Attack
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diff changeset
   256
351
29bc9c36ad5f Fixed-point arithmetics in engine.
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parents:
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   257
function Distance(dx, dy: hwFloat): hwFloat;
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   258
var x, y: hwFloat;
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
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   259
    Result: hwFloat;
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   260
begin
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   261
x:= dx * dx;
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   262
y:= dy * dy;
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   263
Result:= x + y;
357
165a040e4cfa - Fix Blow Torch and Air Attack
unc0rr
parents: 355
diff changeset
   264
Result.QWordValue:= Round(sqrt(1.0 / $100000000 * (Result.QWordValue)) * $100000000);
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   265
Distance:= Result
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   266
end;
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   267
357
165a040e4cfa - Fix Blow Torch and Air Attack
unc0rr
parents: 355
diff changeset
   268
{$INCLUDE SinTable.inc}
165a040e4cfa - Fix Blow Torch and Air Attack
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diff changeset
   269
165a040e4cfa - Fix Blow Torch and Air Attack
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   270
function AngleSin(Angle: Longword): hwFloat;
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   271
begin
29bc9c36ad5f Fixed-point arithmetics in engine.
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parents:
diff changeset
   272
AngleSin.isNegative:= false;
357
165a040e4cfa - Fix Blow Torch and Air Attack
unc0rr
parents: 355
diff changeset
   273
if Angle < 1024 then AngleSin.QWordValue:= SinTable[Angle]
165a040e4cfa - Fix Blow Torch and Air Attack
unc0rr
parents: 355
diff changeset
   274
                else AngleSin.QWordValue:= SinTable[2048 - Angle]
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   275
end;
29bc9c36ad5f Fixed-point arithmetics in engine.
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parents:
diff changeset
   276
357
165a040e4cfa - Fix Blow Torch and Air Attack
unc0rr
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diff changeset
   277
function AngleCos(Angle: Longword): hwFloat;
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   278
var CosVal: Extended;
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   279
begin
357
165a040e4cfa - Fix Blow Torch and Air Attack
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parents: 355
diff changeset
   280
AngleCos.isNegative:= Angle > 1024;
165a040e4cfa - Fix Blow Torch and Air Attack
unc0rr
parents: 355
diff changeset
   281
if Angle < 1024 then AngleCos.QWordValue:= SinTable[1024 - Angle]
165a040e4cfa - Fix Blow Torch and Air Attack
unc0rr
parents: 355
diff changeset
   282
                else AngleCos.QWordValue:= SinTable[Angle - 1024]
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   283
end;
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   284
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
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   285
{$ENDIF}
29bc9c36ad5f Fixed-point arithmetics in engine.
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parents:
diff changeset
   286
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
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   287
end.