hedgewars/uFloat.pas
author unC0Rr
Wed, 30 Nov 2022 16:07:32 +0100
changeset 15925 d2dafe1b25f5
parent 15775 72f735c03fec
child 15929 128ace913837
permissions -rw-r--r--
Optimize hwFloat multiplication a bit
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(*
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 * Hedgewars, a free turn based strategy game
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 * Copyright (c) 2004-2015 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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{$INCLUDE "options.inc"}
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unit uFloat;
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(*
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 * This unit provides a custom data type, hwFloat.
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 *
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 * hwFloat represents a floating point number - the value and operations
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 * of this numbers are independent from the hardware architecture
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 * the game runs on.
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 *
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 * This is important for calculations that affect the course of the game
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 * and would lead to different results if based on a hardware dependent
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 * data type.
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 *
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 * Note: Not all comparisons are implemented.
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 *
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 * Note: Below you'll find a list of hwFloat constants:
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 *       E.g. _1 is an hwFloat with value 1.0, and -_0_9 is -0.9
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 *       Use and extend the list if needed, rather than using int2hwFloat()
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 *       with integer constants.
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 *)
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interface
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{$IFDEF ENDIAN_LITTLE}
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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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{$ELSE}
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type hwFloat = record
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    isNegative: boolean;
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    case byte of
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    0: (Round, Frac: Longword);
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    1: (QWordValue : QWord);
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    end;
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{$ENDIF}
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// Returns an hwFloat that represents the value of integer parameter i
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function int2hwFloat (const i: LongInt) : hwFloat; inline;
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function hwFloat2Float (const i: hwFloat) : extended; inline;
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// The implemented operators
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operator = (const z1, z2: hwFloat) z : boolean; inline;
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{$IFDEF PAS2C}
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operator <> (const z1, z2: hwFloat) z : boolean; inline;
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{$ENDIF}
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operator + (const z1, z2: hwFloat) z : hwFloat; inline;
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operator - (const z1, z2: hwFloat) z : hwFloat; inline;
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operator - (const z1: hwFloat) z : hwFloat; inline;
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operator * (const z1, z2: hwFloat) z : hwFloat; inline;
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operator * (const z1: hwFloat; const z2: LongInt) z : hwFloat; inline;
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operator / (const z1: hwFloat; z2: hwFloat) z : hwFloat; inline;
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operator / (const z1: hwFloat; const z2: LongInt) z : hwFloat; inline;
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operator < (const z1, z2: hwFloat) b : boolean; inline;
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operator > (const z1, z2: hwFloat) b : boolean; inline;
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// Various functions for hwFloat (some are inlined in the resulting code for better performance)
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function cstr(const z: hwFloat): shortstring; // Returns a shortstring representations of the hwFloat.
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function hwRound(const t: hwFloat): LongInt; inline; // Does NOT really round but returns the integer representation of the hwFloat without fractional digits. (-_0_9 -> -0, _1_5 -> _1)
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function hwAbs(const t: hwFloat): hwFloat; inline; // Returns the value of t with positive sign.
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function hwSqr(const t: hwFloat): hwFloat; inline; // Returns the square value of parameter t.
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function hwSqrt1(const t: hwFloat): hwFloat; inline; // Returns the the positive square root of parameter t.
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function hwSqrt(const x: hwFloat): hwFloat; inline; // Returns the the positive square root of parameter t.
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function Distance(const dx, dy: hwFloat): hwFloat; // Returns the distance between two points in 2-dimensional space, of which the parameters are the horizontal and vertical distance.
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function DistanceI(const dx, dy: LongInt): hwFloat; // Same as above for integer parameters.
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function AngleSin(const Angle: Longword): hwFloat;
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function AngleCos(const Angle: Longword): hwFloat;
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function vector2Angle(const x, y: hwFloat): LongInt;
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function SignAs(const num, signum: hwFloat): hwFloat; inline; // Returns an hwFloat with the value of parameter num and the sign of signum.
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function hwSign(r: hwFloat): LongInt; inline; // Returns an integer with value 1 and sign of parameter r.
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function hwSignf(r: real): LongInt; inline; // Returns an integer with value 1 and sign of parameter r.
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function isZero(const z: hwFloat): boolean; inline;
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{$WARNINGS OFF}
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// some hwFloat constants
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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_000064: hwFloat = (isNegative: false; QWordValue:      274878);
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         _0_0002: hwFloat = (isNegative: false; QWordValue:      858993);
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         _0_0005: hwFloat = (isNegative: false; QWordValue:     2147484);
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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_0032: hwFloat = (isNegative: false; QWordValue:    13743895);
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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_008: hwFloat = (isNegative: false; QWordValue:    34359738);
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           _0_01: hwFloat = (isNegative: false; QWordValue:    42949673);
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         _0_0128: hwFloat = (isNegative: false; QWordValue:    54975581);
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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_05: hwFloat = (isNegative: false; QWordValue:   214748365);
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           _0_07: hwFloat = (isNegative: false; QWordValue:   300647710);
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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_375: hwFloat = (isNegative: false; QWordValue:  4294967296 * 3 div 8);
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           _0_39: hwFloat = (isNegative: false; QWordValue:  1675037245);
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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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   137
           _0_64: hwFloat = (isNegative: false; QWordValue:  2748779064);
358
236bbd12d4d9 - New Land Generator
unc0rr
parents: 357
diff changeset
   138
            _0_7: hwFloat = (isNegative: false; QWordValue:  3006477107);
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   139
            _0_8: hwFloat = (isNegative: false; QWordValue:  3435973837);
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   140
           _0_84: hwFloat = (isNegative: false; QWordValue:  3607772528);
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   141
           _0_87: hwFloat = (isNegative: false; QWordValue:  3736621547);
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   142
            _0_9: hwFloat = (isNegative: false; QWordValue:  3865470566);
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   143
           _0_93: hwFloat = (isNegative: false; QWordValue:  3994319585);
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   144
           _0_96: hwFloat = (isNegative: false; QWordValue:  4123168604);
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   145
          _0_995: hwFloat = (isNegative: false; QWordValue:  4273492459);
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   146
          _0_999: hwFloat = (isNegative: false; QWordValue:  4290672328);
498
9c8b385dc9a1 - Get rid of operator := to have GPC support
unc0rr
parents: 493
diff changeset
   147
              _0: hwFloat = (isNegative: false; QWordValue:           0);
9c8b385dc9a1 - Get rid of operator := to have GPC support
unc0rr
parents: 493
diff changeset
   148
              _1: hwFloat = (isNegative: false; QWordValue:  4294967296);
9968
7fb2f35bdd5b Fix two desync causes
unc0rr
parents: 9127
diff changeset
   149
            _1_2: hwFloat = (isNegative: false; QWordValue:  4294967296 * 6 div 5 + 1);
513
69e06d710d46 Moving hedgehog could get another hedgehog moving forward
unc0rr
parents: 498
diff changeset
   150
            _1_5: hwFloat = (isNegative: false; QWordValue:  4294967296 * 3 div 2);
7593
b966e2d833f2 An attempt to run main rope code only every 8th tick:
unc0rr
parents: 7515
diff changeset
   151
            _1_6: hwFloat = (isNegative: false; QWordValue:  4294967296 * 8 div 5);
3584
7c05f2e0a8b5 rope: another small optimization
sheepluva
parents: 3583
diff changeset
   152
            _1_9: hwFloat = (isNegative: false; QWordValue:  8160437862);
498
9c8b385dc9a1 - Get rid of operator := to have GPC support
unc0rr
parents: 493
diff changeset
   153
              _2: hwFloat = (isNegative: false; QWordValue:  4294967296 * 2);
7593
b966e2d833f2 An attempt to run main rope code only every 8th tick:
unc0rr
parents: 7515
diff changeset
   154
            _2_4: hwFloat = (isNegative: false; QWordValue:  4294967296 * 12 div 5);
498
9c8b385dc9a1 - Get rid of operator := to have GPC support
unc0rr
parents: 493
diff changeset
   155
              _3: hwFloat = (isNegative: false; QWordValue:  4294967296 * 3);
9970
88353250ad7d Fix these too
unc0rr
parents: 9968
diff changeset
   156
            _3_2: hwFloat = (isNegative: false; QWordValue:  4294967296 * 16 div 5);
6785
a8aa5984185f Allow RC plane to go through portals
nemo
parents: 6775
diff changeset
   157
             _PI: hwFloat = (isNegative: false; QWordValue: 13493037704);
498
9c8b385dc9a1 - Get rid of operator := to have GPC support
unc0rr
parents: 493
diff changeset
   158
              _4: hwFloat = (isNegative: false; QWordValue:  4294967296 * 4);
6498
5678806aafca Some tiny optimizations
unc0rr
parents: 6443
diff changeset
   159
            _4_5: hwFloat = (isNegative: false; QWordValue:  4294967296 * 9 div 2);
498
9c8b385dc9a1 - Get rid of operator := to have GPC support
unc0rr
parents: 493
diff changeset
   160
              _5: hwFloat = (isNegative: false; QWordValue:  4294967296 * 5);
9c8b385dc9a1 - Get rid of operator := to have GPC support
unc0rr
parents: 493
diff changeset
   161
              _6: hwFloat = (isNegative: false; QWordValue:  4294967296 * 6);
9970
88353250ad7d Fix these too
unc0rr
parents: 9968
diff changeset
   162
            _6_4: hwFloat = (isNegative: false; QWordValue:  4294967296 * 32 div 5);
7593
b966e2d833f2 An attempt to run main rope code only every 8th tick:
unc0rr
parents: 7515
diff changeset
   163
              _7: hwFloat = (isNegative: false; QWordValue:  4294967296 * 7);
498
9c8b385dc9a1 - Get rid of operator := to have GPC support
unc0rr
parents: 493
diff changeset
   164
             _10: hwFloat = (isNegative: false; QWordValue:  4294967296 * 10);
3422
41ae3c48faa0 * some changes/cleanups to portal, still much to do :/ * reverted nemo's temporary loop fix * notice: small loops possible again, so take care :P, bigger onces should be interrupted
sheepluva
parents: 3407
diff changeset
   165
             _12: hwFloat = (isNegative: false; QWordValue:  4294967296 * 12);
498
9c8b385dc9a1 - Get rid of operator := to have GPC support
unc0rr
parents: 493
diff changeset
   166
             _16: hwFloat = (isNegative: false; QWordValue:  4294967296 * 16);
9c8b385dc9a1 - Get rid of operator := to have GPC support
unc0rr
parents: 493
diff changeset
   167
             _19: hwFloat = (isNegative: false; QWordValue:  4294967296 * 19);
9c8b385dc9a1 - Get rid of operator := to have GPC support
unc0rr
parents: 493
diff changeset
   168
             _20: hwFloat = (isNegative: false; QWordValue:  4294967296 * 20);
9c8b385dc9a1 - Get rid of operator := to have GPC support
unc0rr
parents: 493
diff changeset
   169
             _25: hwFloat = (isNegative: false; QWordValue:  4294967296 * 25);
9c8b385dc9a1 - Get rid of operator := to have GPC support
unc0rr
parents: 493
diff changeset
   170
             _30: hwFloat = (isNegative: false; QWordValue:  4294967296 * 30);
2955
fb361d137524 Tweak to joke in french locale (everyone always fixes the spelling) updated explosive frames from Palewolf, increase explosive fall damage from 30 to 40
nemo
parents: 2948
diff changeset
   171
             _40: hwFloat = (isNegative: false; QWordValue:  4294967296 * 40);
7594
5f03595335e6 fromdos + fix end of turn velocity
nemo
parents: 7593
diff changeset
   172
             _41: hwFloat = (isNegative: false; QWordValue:  4294967296 * 41);
7593
b966e2d833f2 An attempt to run main rope code only every 8th tick:
unc0rr
parents: 7515
diff changeset
   173
             _49: hwFloat = (isNegative: false; QWordValue:  4294967296 * 49);
3036
c6ba6531cb4b Make barrels a little more likely to blow up. 25% more damage in fall
nemo
parents: 2955
diff changeset
   174
             _50: hwFloat = (isNegative: false; QWordValue:  4294967296 * 50);
2933
02af54eb7e1e Experiment with barrels. Add rolling.
nemo
parents: 2905
diff changeset
   175
             _70: hwFloat = (isNegative: false; QWordValue:  4294967296 * 70);
5599
2e4b90f33a83 aiming fixed, inverted cursor on ammo menu, added equal and isZero function to uFloat, changed the way ammo menu opens, you must now click on the hog rather than anywhere on the screen
Xeli
parents: 5319
diff changeset
   176
             _90: hwFloat = (isNegative: false; QWordValue:  4294967296 * 90);
498
9c8b385dc9a1 - Get rid of operator := to have GPC support
unc0rr
parents: 493
diff changeset
   177
            _128: hwFloat = (isNegative: false; QWordValue:  4294967296 * 128);
5599
2e4b90f33a83 aiming fixed, inverted cursor on ammo menu, added equal and isZero function to uFloat, changed the way ammo menu opens, you must now click on the hog rather than anywhere on the screen
Xeli
parents: 5319
diff changeset
   178
            _180: hwFloat = (isNegative: false; QWordValue:  4294967296 * 180);
5319
51d8e4747876 bounce. tweak of values, remove friction modifier, move to weapon, to match timer behaviour
nemo
parents: 5192
diff changeset
   179
            _250: hwFloat = (isNegative: false; QWordValue:  4294967296 * 250);
1915
c357f5b55320 patch by nemo:
unc0rr
parents: 1753
diff changeset
   180
            _256: hwFloat = (isNegative: false; QWordValue:  4294967296 * 256);
1124
1636a3c7c061 - Airplane is higher
unc0rr
parents: 1066
diff changeset
   181
            _300: hwFloat = (isNegative: false; QWordValue:  4294967296 * 300);
5599
2e4b90f33a83 aiming fixed, inverted cursor on ammo menu, added equal and isZero function to uFloat, changed the way ammo menu opens, you must now click on the hog rather than anywhere on the screen
Xeli
parents: 5319
diff changeset
   182
            _360: hwFloat = (isNegative: false; QWordValue:  4294967296 * 360);
498
9c8b385dc9a1 - Get rid of operator := to have GPC support
unc0rr
parents: 493
diff changeset
   183
            _450: hwFloat = (isNegative: false; QWordValue:  4294967296 * 450);
5319
51d8e4747876 bounce. tweak of values, remove friction modifier, move to weapon, to match timer behaviour
nemo
parents: 5192
diff changeset
   184
           _1000: hwFloat = (isNegative: false; QWordValue:  4294967296 * 1000);
611
8cf6d27cec86 Fix warnings
unc0rr
parents: 543
diff changeset
   185
           _1024: hwFloat = (isNegative: false; QWordValue:  4294967296 * 1024);
8cf6d27cec86 Fix warnings
unc0rr
parents: 543
diff changeset
   186
           _2048: hwFloat = (isNegative: false; QWordValue:  4294967296 * 2048);
1753
2ccba26f1aa4 Apply nemo's world resize patch
unc0rr
parents: 1652
diff changeset
   187
           _4096: hwFloat = (isNegative: false; QWordValue:  4294967296 * 4096);
498
9c8b385dc9a1 - Get rid of operator := to have GPC support
unc0rr
parents: 493
diff changeset
   188
          _10000: hwFloat = (isNegative: false; QWordValue:  4294967296 * 10000);
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   189
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   190
         cLittle: hwFloat = (isNegative: false; QWordValue:           1);
967
8be3938d73c2 Don't let jumping hedgehog to move others
unc0rr
parents: 953
diff changeset
   191
         cHHKick: hwFloat = (isNegative: false; QWordValue:    42949673);  // _0_01
611
8cf6d27cec86 Fix warnings
unc0rr
parents: 543
diff changeset
   192
{$WARNINGS ON}
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   193
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   194
implementation
4415
941251bad467 SinTable.inc -> uSinTable.pas
unc0rr
parents: 4374
diff changeset
   195
uses uSinTable;
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   196
3599
715a43602da8 sheepluva's inline patch, fix a crash in overlay
koda
parents: 3591
diff changeset
   197
7624
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   198
function int2hwFloat (const i: LongInt) : hwFloat; inline;
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   199
begin
498
9c8b385dc9a1 - Get rid of operator := to have GPC support
unc0rr
parents: 493
diff changeset
   200
int2hwFloat.isNegative:= i < 0;
9c8b385dc9a1 - Get rid of operator := to have GPC support
unc0rr
parents: 493
diff changeset
   201
int2hwFloat.Round:= abs(i);
9c8b385dc9a1 - Get rid of operator := to have GPC support
unc0rr
parents: 493
diff changeset
   202
int2hwFloat.Frac:= 0
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   203
end;
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   204
7624
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   205
function hwFloat2Float (const i: hwFloat) : extended; inline;
5151
cbadb9fa52fc An experiment - make bazooka AI use float instead of hwFloat - should be as accurate, but faster.
nemo
parents: 5124
diff changeset
   206
begin
7614
3ae60c8a15f2 Starting to rewrite uFloat routines to avoid QWordValue - in the interests of JS which may get uint64/int64 in the spec in the future but does not have it now.
nemo
parents: 7594
diff changeset
   207
hwFloat2Float:= i.Frac / $100000000 + i.Round;
6580
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   208
if i.isNegative then
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   209
    hwFloat2Float:= -hwFloat2Float;
5151
cbadb9fa52fc An experiment - make bazooka AI use float instead of hwFloat - should be as accurate, but faster.
nemo
parents: 5124
diff changeset
   210
end;
cbadb9fa52fc An experiment - make bazooka AI use float instead of hwFloat - should be as accurate, but faster.
nemo
parents: 5124
diff changeset
   211
6415
af2047bb4f70 GSoC 2011: Android port - merged mainstream
koda
parents: 6328
diff changeset
   212
operator = (const z1, z2: hwFloat) z : boolean; inline;
5599
2e4b90f33a83 aiming fixed, inverted cursor on ammo menu, added equal and isZero function to uFloat, changed the way ammo menu opens, you must now click on the hog rather than anywhere on the screen
Xeli
parents: 5319
diff changeset
   213
begin
5665
8805f3167058 fixed = operator in uFloat
Xeli
parents: 5599
diff changeset
   214
    z:= (z1.isNegative = z2.isNegative) and (z1.QWordValue = z2.QWordValue);
5599
2e4b90f33a83 aiming fixed, inverted cursor on ammo menu, added equal and isZero function to uFloat, changed the way ammo menu opens, you must now click on the hog rather than anywhere on the screen
Xeli
parents: 5319
diff changeset
   215
end;
2e4b90f33a83 aiming fixed, inverted cursor on ammo menu, added equal and isZero function to uFloat, changed the way ammo menu opens, you must now click on the hog rather than anywhere on the screen
Xeli
parents: 5319
diff changeset
   216
7043
7c080e5ac8d0 Some work to make more units compile after conversion to c
unc0rr
parents: 7042
diff changeset
   217
{$IFDEF PAS2C}
7042
de20086a6bcc Support overloaded operators on (hwFloat op hwFloat) calls
unc0rr
parents: 6879
diff changeset
   218
operator <> (const z1, z2: hwFloat) z : boolean; inline;
de20086a6bcc Support overloaded operators on (hwFloat op hwFloat) calls
unc0rr
parents: 6879
diff changeset
   219
begin
de20086a6bcc Support overloaded operators on (hwFloat op hwFloat) calls
unc0rr
parents: 6879
diff changeset
   220
    z:= (z1.isNegative <> z2.isNegative) or (z1.QWordValue <> z2.QWordValue);
de20086a6bcc Support overloaded operators on (hwFloat op hwFloat) calls
unc0rr
parents: 6879
diff changeset
   221
end;
7043
7c080e5ac8d0 Some work to make more units compile after conversion to c
unc0rr
parents: 7042
diff changeset
   222
{$ENDIF}
7042
de20086a6bcc Support overloaded operators on (hwFloat op hwFloat) calls
unc0rr
parents: 6879
diff changeset
   223
7624
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   224
operator + (const z1, z2: hwFloat) z : hwFloat; inline;
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   225
begin
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   226
if z1.isNegative = z2.isNegative then
6580
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   227
    begin
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   228
    z.isNegative:= z1.isNegative;
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   229
    z.QWordValue:= z1.QWordValue + z2.QWordValue
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   230
    end
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   231
else
6580
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   232
    if z1.QWordValue > z2.QWordValue then
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   233
        begin
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   234
        z.isNegative:= z1.isNegative;
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   235
        z.QWordValue:= z1.QWordValue - z2.QWordValue
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   236
        end
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   237
    else
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   238
        begin
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   239
        z.isNegative:= z2.isNegative;
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   240
        z.QWordValue:= z2.QWordValue - z1.QWordValue
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   241
        end
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   242
end;
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   243
7624
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   244
operator - (const z1, z2: hwFloat) z : hwFloat; inline;
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   245
begin
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   246
if z1.isNegative = z2.isNegative then
6580
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   247
    if z1.QWordValue > z2.QWordValue then
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   248
        begin
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   249
        z.isNegative:= z1.isNegative;
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   250
        z.QWordValue:= z1.QWordValue - z2.QWordValue
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   251
        end
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   252
    else
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   253
        begin
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   254
        z.isNegative:= not z2.isNegative;
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   255
        z.QWordValue:= z2.QWordValue - z1.QWordValue
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   256
        end
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   257
else
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   258
    begin
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   259
    z.isNegative:= z1.isNegative;
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   260
    z.QWordValue:= z1.QWordValue + z2.QWordValue
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   261
    end
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   262
end;
7623
addc5b262617 isZero appears to be never used. Use it in a few obvious cases and add web variant.
nemo
parents: 7614
diff changeset
   263
8924
13ac59499066 update 0.9.19 with dev branch
koda
parents: 8921
diff changeset
   264
function isZero(const z: hwFloat): boolean; inline;
7623
addc5b262617 isZero appears to be never used. Use it in a few obvious cases and add web variant.
nemo
parents: 7614
diff changeset
   265
begin
addc5b262617 isZero appears to be never used. Use it in a few obvious cases and add web variant.
nemo
parents: 7614
diff changeset
   266
isZero := z.QWordValue = 0;
addc5b262617 isZero appears to be never used. Use it in a few obvious cases and add web variant.
nemo
parents: 7614
diff changeset
   267
end;
7624
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   268
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   269
operator < (const z1, z2: hwFloat) b : boolean; inline;
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nemo
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diff changeset
   270
begin
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   271
if z1.isNegative xor z2.isNegative then
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   272
    b:= z1.isNegative
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   273
else
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   274
    if z1.QWordValue = z2.QWordValue then
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   275
        b:= false
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   276
    else
8915
36e1574e989d Trivial optimization. Wonder if compiler was smart enough about it.
unc0rr
parents: 8905
diff changeset
   277
        b:= (z2.QWordValue < z1.QWordValue) = z1.isNegative
7624
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   278
end;
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   279
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   280
operator > (const z1, z2: hwFloat) b : boolean; inline;
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   281
begin
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   282
if z1.isNegative xor z2.isNegative then
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   283
    b:= z2.isNegative
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   284
else
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   285
    if z1.QWordValue = z2.QWordValue then
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   286
        b:= false
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   287
    else
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   288
        b:= (z1.QWordValue > z2.QWordValue) <> z2.isNegative
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   289
end;
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   290
7624
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   291
operator - (const z1: hwFloat) z : hwFloat; inline;
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   292
begin
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parents: 9998 9970
diff changeset
   293
    z:= z1;
4feced261c68 partial merge of the webgl branch
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parents: 9998 9970
diff changeset
   294
    z.isNegative:= not z.isNegative
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   295
end;
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   296
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   297
7624
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   298
operator * (const z1, z2: hwFloat) z : hwFloat; inline;
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   299
begin
10015
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parents: 9998 9970
diff changeset
   300
    z.isNegative:= z1.isNegative xor z2.isNegative;
15925
d2dafe1b25f5 Optimize hwFloat multiplication a bit
unC0Rr
parents: 15775
diff changeset
   301
    
d2dafe1b25f5 Optimize hwFloat multiplication a bit
unC0Rr
parents: 15775
diff changeset
   302
    if (z1.Round = 0) and (z2.Round = 0) then
d2dafe1b25f5 Optimize hwFloat multiplication a bit
unC0Rr
parents: 15775
diff changeset
   303
        begin
d2dafe1b25f5 Optimize hwFloat multiplication a bit
unC0Rr
parents: 15775
diff changeset
   304
        z.QWordValue:= (QWord(z1.Frac) * z2.Frac) shr 32;
d2dafe1b25f5 Optimize hwFloat multiplication a bit
unC0Rr
parents: 15775
diff changeset
   305
        end 
d2dafe1b25f5 Optimize hwFloat multiplication a bit
unC0Rr
parents: 15775
diff changeset
   306
    else
d2dafe1b25f5 Optimize hwFloat multiplication a bit
unC0Rr
parents: 15775
diff changeset
   307
        begin
d2dafe1b25f5 Optimize hwFloat multiplication a bit
unC0Rr
parents: 15775
diff changeset
   308
        z.QWordValue:= QWord(z1.Round) * z2.Frac + QWord(z1.Frac) * z2.Round + ((QWord(z1.Frac) * z2.Frac) shr 32);
d2dafe1b25f5 Optimize hwFloat multiplication a bit
unC0Rr
parents: 15775
diff changeset
   309
        z.Round:= z.Round + QWord(z1.Round) * z2.Round;
d2dafe1b25f5 Optimize hwFloat multiplication a bit
unC0Rr
parents: 15775
diff changeset
   310
    end
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   311
end;
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   312
7624
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   313
operator * (const z1: hwFloat; const z2: LongInt) z : hwFloat; inline;
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   314
begin
10015
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parents: 9998 9970
diff changeset
   315
    z.isNegative:= z1.isNegative xor (z2 < 0);
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   316
    z.QWordValue:= z1.QWordValue * abs(z2)
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   317
end;
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   318
7624
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   319
operator / (const z1: hwFloat; z2: hwFloat) z : hwFloat; inline;
8919
67214340fa53 lol, how did it manage to work for years? (z1 - z2 * z.Round) shouldn't respect signs of z1 and z2. It turns out we often had arbitrary .Frac value in division result. Also fixes issue 613.
unc0rr
parents: 8917
diff changeset
   320
var t: QWord;
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   321
begin
10015
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   322
    z.isNegative:= z1.isNegative xor z2.isNegative;
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   323
    z.Round:= z1.QWordValue div z2.QWordValue;
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   324
    t:= z1.QWordValue - z2.QWordValue * z.Round;
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   325
    z.Frac:= 0;
8916
71485c03a507 hwFloat division is ~1.6 times faster now
unc0rr
parents: 8915
diff changeset
   326
10015
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   327
    if t <> 0 then
6580
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   328
        begin
10015
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   329
        while ((t and $FF00000000000000) = 0) and ((z2.QWordValue and $FF00000000000000) = 0) do
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   330
            begin
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   331
            t:= t shl 8;
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   332
            z2.QWordValue:= z2.QWordValue shl 8
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   333
            end;
8921
e5db2a42e7e8 - Revert division hack nonsense
unc0rr
parents: 8919
diff changeset
   334
10015
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   335
        if z2.Round > 0 then
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   336
            inc(z.QWordValue, t div z2.Round);
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   337
        end
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   338
end;
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   339
7624
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   340
operator / (const z1: hwFloat; const z2: LongInt) z : hwFloat; inline;
498
9c8b385dc9a1 - Get rid of operator := to have GPC support
unc0rr
parents: 493
diff changeset
   341
begin
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parents: 9998 9970
diff changeset
   342
    z.isNegative:= z1.isNegative xor (z2 < 0);
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   343
    z.QWordValue:= z1.QWordValue div abs(z2)
498
9c8b385dc9a1 - Get rid of operator := to have GPC support
unc0rr
parents: 493
diff changeset
   344
end;
9c8b385dc9a1 - Get rid of operator := to have GPC support
unc0rr
parents: 493
diff changeset
   345
2905
f3c79f7193a9 Engine:
smxx
parents: 2784
diff changeset
   346
function cstr(const z: hwFloat): shortstring;
f3c79f7193a9 Engine:
smxx
parents: 2784
diff changeset
   347
var tmpstr: shortstring;
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   348
begin
10015
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   349
    str(z.Round, cstr);
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   350
    if z.Frac <> 0 then
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   351
        begin
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   352
        str(z.Frac / $100000000, tmpstr);
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   353
        delete(tmpstr, 1, 2);
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   354
        cstr:= cstr + '.' + copy(tmpstr, 1, 10)
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   355
        end;
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   356
    if z.isNegative then
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   357
        cstr:= '-' + cstr
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   358
end;
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   359
515
270f10276d2e - Remove deprecated code
unc0rr
parents: 513
diff changeset
   360
function hwRound(const t: hwFloat): LongInt;
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   361
begin
10015
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   362
    if t.isNegative then
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   363
        hwRound:= -(t.Round and $7FFFFFFF)
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   364
    else
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   365
        hwRound:= t.Round and $7FFFFFFF
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   366
end;
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   367
515
270f10276d2e - Remove deprecated code
unc0rr
parents: 513
diff changeset
   368
function hwAbs(const t: hwFloat): hwFloat;
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   369
begin
10015
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   370
    hwAbs:= t;
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   371
    hwAbs.isNegative:= false
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   372
end;
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   373
7624
03d662ff9c41 A few more operators. Committing in case unc0rr wants to fiddle.
nemo
parents: 7623
diff changeset
   374
function hwSqr(const t: hwFloat): hwFloat; inline;
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   375
begin
10015
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   376
    hwSqr.isNegative:= false;
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   377
    hwSqr.QWordValue:= ((QWord(t.Round) * t.Round) shl 32) + QWord(t.Round) * t.Frac * 2 + ((QWord(t.Frac) * t.Frac) shr 32);
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   378
end;
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   379
8905
82b1400f4a08 New hwSqrt implementation which is 46/19 times faster than the old one!
unc0rr
parents: 8838
diff changeset
   380
function hwSqrt1(const t: hwFloat): hwFloat;
7688
9daa06188551 New hwSqrt which is up to 8.7% more efficient than old one on synthetic tests
unc0rr
parents: 7663
diff changeset
   381
const pwr = 8; // even value, feel free to adjust
15775
72f735c03fec Fix some problems caught by C compiler
unC0Rr
parents: 15649
diff changeset
   382
      rThreshold: QWord = QWord(1) shl (pwr + 32);
72f735c03fec Fix some problems caught by C compiler
unC0Rr
parents: 15649
diff changeset
   383
      lThreshold: QWord = QWord(1) shl (pwr div 2 + 32);
738
d7f640e99b17 Ignore many files, created by build system
unc0rr
parents: 611
diff changeset
   384
var l, r: QWord;
d7f640e99b17 Ignore many files, created by build system
unc0rr
parents: 611
diff changeset
   385
    c: hwFloat;
357
165a040e4cfa - Fix Blow Torch and Air Attack
unc0rr
parents: 355
diff changeset
   386
begin
10015
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   387
    hwSqrt1.isNegative:= false;
744
7a9663194767 - Remove debug
unc0rr
parents: 738
diff changeset
   388
10015
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   389
    if t.Round = 0 then
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   390
        begin
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   391
        l:= t.QWordValue;
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   392
        r:= $100000000
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   393
        end
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   394
    else
7688
9daa06188551 New hwSqrt which is up to 8.7% more efficient than old one on synthetic tests
unc0rr
parents: 7663
diff changeset
   395
        begin
10015
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   396
        if t.QWordValue > $FFFFFFFFFFFF then // t.Round > 65535.9999
7688
9daa06188551 New hwSqrt which is up to 8.7% more efficient than old one on synthetic tests
unc0rr
parents: 7663
diff changeset
   397
            begin
10015
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   398
            l:= $10000000000; // 256
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   399
            r:= $FFFFFFFFFFFF; // 65535.9999
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   400
            end
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   401
        else
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   402
            if t.QWordValue >= rThreshold then
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   403
                begin
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   404
                l:= lThreshold;
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   405
                r:= $10000000000; // 256
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   406
                end
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   407
            else
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   408
                begin
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   409
                l:= $100000000;
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   410
                r:= lThreshold;
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   411
                end;
6580
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   412
    end;
744
7a9663194767 - Remove debug
unc0rr
parents: 738
diff changeset
   413
10015
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   414
    repeat
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   415
        c.QWordValue:= (l + r) shr 1;
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   416
        if hwSqr(c).QWordValue > t.QWordValue then
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   417
            r:= c.QWordValue
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   418
        else
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   419
            l:= c.QWordValue
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   420
    until r - l <= 1;
744
7a9663194767 - Remove debug
unc0rr
parents: 738
diff changeset
   421
10015
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   422
    hwSqrt1.QWordValue:= l
357
165a040e4cfa - Fix Blow Torch and Air Attack
unc0rr
parents: 355
diff changeset
   423
end;
165a040e4cfa - Fix Blow Torch and Air Attack
unc0rr
parents: 355
diff changeset
   424
8905
82b1400f4a08 New hwSqrt implementation which is 46/19 times faster than the old one!
unc0rr
parents: 8838
diff changeset
   425
function hwSqrt(const x: hwFloat): hwFloat;
82b1400f4a08 New hwSqrt implementation which is 46/19 times faster than the old one!
unc0rr
parents: 8838
diff changeset
   426
var r, t, s, q: QWord;
82b1400f4a08 New hwSqrt implementation which is 46/19 times faster than the old one!
unc0rr
parents: 8838
diff changeset
   427
    i: integer;
82b1400f4a08 New hwSqrt implementation which is 46/19 times faster than the old one!
unc0rr
parents: 8838
diff changeset
   428
begin
10015
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   429
    hwSqrt.isNegative:= false;
8905
82b1400f4a08 New hwSqrt implementation which is 46/19 times faster than the old one!
unc0rr
parents: 8838
diff changeset
   430
10015
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   431
    t:= $4000000000000000;
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   432
    r:= 0;
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   433
    q:= x.QWordValue;
8905
82b1400f4a08 New hwSqrt implementation which is 46/19 times faster than the old one!
unc0rr
parents: 8838
diff changeset
   434
10015
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   435
    for i:= 0 to 31 do
8905
82b1400f4a08 New hwSqrt implementation which is 46/19 times faster than the old one!
unc0rr
parents: 8838
diff changeset
   436
        begin
10015
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   437
        s:= r + t;
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   438
        r:= r shr 1;
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   439
        if s <= q then
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   440
            begin
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   441
            dec(q, s);
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   442
            inc(r, t);
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   443
            end;
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   444
        t:= t shr 2;
8905
82b1400f4a08 New hwSqrt implementation which is 46/19 times faster than the old one!
unc0rr
parents: 8838
diff changeset
   445
        end;
82b1400f4a08 New hwSqrt implementation which is 46/19 times faster than the old one!
unc0rr
parents: 8838
diff changeset
   446
10015
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   447
    hwSqrt.QWordValue:= r shl 16
8905
82b1400f4a08 New hwSqrt implementation which is 46/19 times faster than the old one!
unc0rr
parents: 8838
diff changeset
   448
end;
82b1400f4a08 New hwSqrt implementation which is 46/19 times faster than the old one!
unc0rr
parents: 8838
diff changeset
   449
82b1400f4a08 New hwSqrt implementation which is 46/19 times faster than the old one!
unc0rr
parents: 8838
diff changeset
   450
82b1400f4a08 New hwSqrt implementation which is 46/19 times faster than the old one!
unc0rr
parents: 8838
diff changeset
   451
515
270f10276d2e - Remove deprecated code
unc0rr
parents: 513
diff changeset
   452
function Distance(const dx, dy: hwFloat): hwFloat;
8921
e5db2a42e7e8 - Revert division hack nonsense
unc0rr
parents: 8919
diff changeset
   453
var r: QWord;
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   454
begin
10015
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   455
    r:= dx.QWordValue or dy.QWordValue;
8921
e5db2a42e7e8 - Revert division hack nonsense
unc0rr
parents: 8919
diff changeset
   456
10015
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   457
    if r < $10000 then
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   458
        begin
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   459
        Distance.QWordValue:= r;
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   460
        Distance.isNegative:= false
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   461
        end
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   462
    else
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   463
        Distance:= hwSqrt(hwSqr(dx) + hwSqr(dy))
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   464
end;
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   465
515
270f10276d2e - Remove deprecated code
unc0rr
parents: 513
diff changeset
   466
function DistanceI(const dx, dy: LongInt): hwFloat;
498
9c8b385dc9a1 - Get rid of operator := to have GPC support
unc0rr
parents: 493
diff changeset
   467
begin
10015
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   468
    DistanceI:= hwSqrt(int2hwFloat(sqr(dx) + sqr(dy)))
498
9c8b385dc9a1 - Get rid of operator := to have GPC support
unc0rr
parents: 493
diff changeset
   469
end;
9c8b385dc9a1 - Get rid of operator := to have GPC support
unc0rr
parents: 493
diff changeset
   470
515
270f10276d2e - Remove deprecated code
unc0rr
parents: 513
diff changeset
   471
function SignAs(const num, signum: hwFloat): hwFloat;
498
9c8b385dc9a1 - Get rid of operator := to have GPC support
unc0rr
parents: 493
diff changeset
   472
begin
10015
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   473
    SignAs.QWordValue:= num.QWordValue;
4feced261c68 partial merge of the webgl branch
koda
parents: 9998 9970
diff changeset
   474
    SignAs.isNegative:= signum.isNegative
498
9c8b385dc9a1 - Get rid of operator := to have GPC support
unc0rr
parents: 493
diff changeset
   475
end;
9c8b385dc9a1 - Get rid of operator := to have GPC support
unc0rr
parents: 493
diff changeset
   476
4374
bcefeeabaa33 Move some stuff from uMisc to uUtils
unC0Rr
parents: 3929
diff changeset
   477
function hwSign(r: hwFloat): LongInt;
bcefeeabaa33 Move some stuff from uMisc to uUtils
unC0Rr
parents: 3929
diff changeset
   478
begin
bcefeeabaa33 Move some stuff from uMisc to uUtils
unC0Rr
parents: 3929
diff changeset
   479
// yes, we have negative zero for a reason
6580
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   480
if r.isNegative then
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   481
    hwSign:= -1
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   482
else
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   483
    hwSign:= 1
4374
bcefeeabaa33 Move some stuff from uMisc to uUtils
unC0Rr
parents: 3929
diff changeset
   484
end;
bcefeeabaa33 Move some stuff from uMisc to uUtils
unC0Rr
parents: 3929
diff changeset
   485
6879
f44042ba755c Simplify converter's life
unc0rr
parents: 6785
diff changeset
   486
function hwSignf(r: real): LongInt;
6775
22b5fb7217db Change rest of AI tests to floats, reenable snowball
nemo
parents: 6700
diff changeset
   487
begin
22b5fb7217db Change rest of AI tests to floats, reenable snowball
nemo
parents: 6700
diff changeset
   488
if r < 0 then
6879
f44042ba755c Simplify converter's life
unc0rr
parents: 6785
diff changeset
   489
    hwSignf:= -1
6775
22b5fb7217db Change rest of AI tests to floats, reenable snowball
nemo
parents: 6700
diff changeset
   490
else
6879
f44042ba755c Simplify converter's life
unc0rr
parents: 6785
diff changeset
   491
    hwSignf:= 1
6775
22b5fb7217db Change rest of AI tests to floats, reenable snowball
nemo
parents: 6700
diff changeset
   492
end;
22b5fb7217db Change rest of AI tests to floats, reenable snowball
nemo
parents: 6700
diff changeset
   493
357
165a040e4cfa - Fix Blow Torch and Air Attack
unc0rr
parents: 355
diff changeset
   494
515
270f10276d2e - Remove deprecated code
unc0rr
parents: 513
diff changeset
   495
function AngleSin(const Angle: Longword): hwFloat;
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   496
begin
3929
9a4bbc1f67a2 Inline most of uFloat (saves ~7.5% opcount on a test game), inline a few very short candidates in uMisc, comment out some unused functions in uMisc
nemo
parents: 3599
diff changeset
   497
//TryDo((Angle >= 0) and (Angle <= 2048), 'Sin param exceeds limits', true);
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   498
AngleSin.isNegative:= false;
6580
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   499
if Angle < 1024 then
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   500
    AngleSin.QWordValue:= SinTable[Angle]
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   501
else
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   502
    AngleSin.QWordValue:= SinTable[2048 - Angle]
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   503
end;
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   504
515
270f10276d2e - Remove deprecated code
unc0rr
parents: 513
diff changeset
   505
function AngleCos(const Angle: Longword): hwFloat;
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   506
begin
3929
9a4bbc1f67a2 Inline most of uFloat (saves ~7.5% opcount on a test game), inline a few very short candidates in uMisc, comment out some unused functions in uMisc
nemo
parents: 3599
diff changeset
   507
//TryDo((Angle >= 0) and (Angle <= 2048), 'Cos param exceeds limits', true);
357
165a040e4cfa - Fix Blow Torch and Air Attack
unc0rr
parents: 355
diff changeset
   508
AngleCos.isNegative:= Angle > 1024;
6580
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   509
if Angle < 1024 then
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   510
    AngleCos.QWordValue:= SinTable[1024 - Angle]
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   511
else
6155187bf599 A partial reformatting of the pascal code to have consistent syntax. Things that are still inconsistent.
lovelacer
parents: 6498
diff changeset
   512
    AngleCos.QWordValue:= SinTable[Angle - 1024]
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   513
end;
7714
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   514
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   515
function vector2Angle(const x, y: hwFloat): LongInt;
7715
8b653edac2a2 Shutup pas2c
unc0rr
parents: 7714
diff changeset
   516
var d, nf: hwFloat;
7714
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   517
    l, r, c, oc: Longword;
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   518
    n: QWord;
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   519
begin
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   520
    d:= _1 / Distance(x, y);
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   521
7715
8b653edac2a2 Shutup pas2c
unc0rr
parents: 7714
diff changeset
   522
    nf:= y * d;
8b653edac2a2 Shutup pas2c
unc0rr
parents: 7714
diff changeset
   523
    n:= nf.QWordValue;
7714
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   524
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   525
    l:= 0;
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   526
    r:= 1024;
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   527
    c:= 0;
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   528
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   529
    repeat
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   530
        oc:= c;
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   531
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   532
        c:= (l + r) shr 1;
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   533
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   534
        if n >= SinTable[c] then
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   535
            l:= c
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   536
        else
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   537
            r:= c;
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   538
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   539
    until (oc = c);
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   540
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   541
    if x.isNegative then c:= 2048 - c;
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   542
    if y.isNegative then c:= - c;
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   543
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   544
    vector2Angle:= c
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   545
end;
981001b84f0b vector2Angle function which converts vector to angle from -2048 to 2048
unc0rr
parents: 7688
diff changeset
   546
351
29bc9c36ad5f Fixed-point arithmetics in engine.
unc0rr
parents:
diff changeset
   547
end.