author | unc0rr |
Sat, 18 Aug 2007 15:16:03 +0000 | |
changeset 575 | 9a18a9b9d7d4 |
parent 543 | 465e2ec8f05f |
child 611 | 8cf6d27cec86 |
permissions | -rw-r--r-- |
351 | 1 |
(* |
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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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||
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unit uFloat; |
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interface |
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21 |
||
22 |
{$IFDEF FPC} |
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23 |
{$ifdef FPC_LITTLE_ENDIAN} |
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24 |
type hwFloat = record |
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25 |
isNegative: boolean; |
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26 |
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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{$else FPC_LITTLE_ENDIAN} |
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type hwFloat = record |
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isNegative: boolean; |
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33 |
case byte of |
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0: (Round, Frac: Longword); |
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1: (QWordValue : QWord); |
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end; |
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{$endif FPC_LITTLE_ENDIAN} |
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||
515 | 39 |
function int2hwFloat (const i: LongInt) : hwFloat; |
351 | 40 |
|
515 | 41 |
operator + (const z1, z2: hwFloat) z : hwFloat; |
42 |
operator - (const z1, z2: hwFloat) z : hwFloat; |
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operator - (const z1: hwFloat) z : hwFloat; |
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351 | 44 |
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515 | 45 |
operator * (const z1, z2: hwFloat) z : hwFloat; |
46 |
operator * (const z1: hwFloat; const z2: LongInt) z : hwFloat; |
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47 |
operator / (const z1: hwFloat; z2: hwFloat) z : hwFloat; |
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operator / (const z1: hwFloat; const z2: LongInt) z : hwFloat; |
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351 | 49 |
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515 | 50 |
operator < (const z1, z2: hwFloat) b : boolean; |
51 |
operator > (const z1, z2: hwFloat) b : boolean; |
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351 | 52 |
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515 | 53 |
function cstr(const z: hwFloat): string; |
54 |
function hwRound(const t: hwFloat): LongInt; |
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function hwAbs(const t: hwFloat): hwFloat; |
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function hwSqr(const t: hwFloat): hwFloat; |
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function hwSqrt(const t: hwFloat): hwFloat; |
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58 |
function Distance(const dx, dy: hwFloat): hwFloat; |
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function DistanceI(const dx, dy: LongInt): hwFloat; |
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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 SignAs(const num, signum: hwFloat): hwFloat; |
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351 | 63 |
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538 | 64 |
{$J-} |
351 | 65 |
const _1div1024: hwFloat = (isNegative: false; QWordValue: 4194304); |
66 |
_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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80 |
_0_08: hwFloat = (isNegative: false; QWordValue: 343597383); |
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365 | 81 |
_0_1: hwFloat = (isNegative: false; QWordValue: 429496730); |
351 | 82 |
_0_15: hwFloat = (isNegative: false; QWordValue: 644245094); |
83 |
_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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86 |
_0_35: hwFloat = (isNegative: false; QWordValue: 1503238553); |
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87 |
_0_4: hwFloat = (isNegative: false; QWordValue: 1717986918); |
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88 |
_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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358 | 92 |
_0_7: hwFloat = (isNegative: false; QWordValue: 3006477107); |
351 | 93 |
_0_8: hwFloat = (isNegative: false; QWordValue: 3435973837); |
94 |
_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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498 | 102 |
_0: hwFloat = (isNegative: false; QWordValue: 0); |
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_1: hwFloat = (isNegative: false; QWordValue: 4294967296); |
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513
69e06d710d46
Moving hedgehog could get another hedgehog moving forward
unc0rr
parents:
498
diff
changeset
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104 |
_1_5: hwFloat = (isNegative: false; QWordValue: 4294967296 * 3 div 2); |
498 | 105 |
_2: hwFloat = (isNegative: false; QWordValue: 4294967296 * 2); |
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_3: hwFloat = (isNegative: false; QWordValue: 4294967296 * 3); |
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_4: hwFloat = (isNegative: false; QWordValue: 4294967296 * 4); |
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_5: hwFloat = (isNegative: false; QWordValue: 4294967296 * 5); |
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_6: hwFloat = (isNegative: false; QWordValue: 4294967296 * 6); |
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_10: hwFloat = (isNegative: false; QWordValue: 4294967296 * 10); |
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_16: hwFloat = (isNegative: false; QWordValue: 4294967296 * 16); |
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_19: hwFloat = (isNegative: false; QWordValue: 4294967296 * 19); |
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_20: hwFloat = (isNegative: false; QWordValue: 4294967296 * 20); |
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_25: hwFloat = (isNegative: false; QWordValue: 4294967296 * 25); |
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_30: hwFloat = (isNegative: false; QWordValue: 4294967296 * 30); |
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_128: hwFloat = (isNegative: false; QWordValue: 4294967296 * 128); |
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_450: hwFloat = (isNegative: false; QWordValue: 4294967296 * 450); |
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_1024: hwFloat = (isNegative: false; QWordValue: 4398046511104); |
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_2048: hwFloat = (isNegative: false; QWordValue: 8796093022208); |
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_10000: hwFloat = (isNegative: false; QWordValue: 4294967296 * 10000); |
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351 | 121 |
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cLittle: hwFloat = (isNegative: false; QWordValue: 1); |
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538 | 123 |
cHHKick: hwFloat = (isNegative: false; QWordValue: 128849018); // _0_03 |
351 | 124 |
{$ENDIF} |
125 |
||
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{$IFNDEF FPC} |
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type hwFloat = Extended; |
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{$ENDIF} |
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129 |
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implementation |
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uses uConsts; |
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132 |
||
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{$IFDEF FPC} |
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134 |
||
515 | 135 |
function int2hwFloat (const i: LongInt) : hwFloat; |
351 | 136 |
begin |
498 | 137 |
int2hwFloat.isNegative:= i < 0; |
138 |
int2hwFloat.Round:= abs(i); |
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int2hwFloat.Frac:= 0 |
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351 | 140 |
end; |
141 |
||
515 | 142 |
operator + (const z1, z2: hwFloat) z : hwFloat; |
351 | 143 |
begin |
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if z1.isNegative = z2.isNegative then |
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begin |
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146 |
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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160 |
||
515 | 161 |
operator - (const z1, z2: hwFloat) z : hwFloat; |
351 | 162 |
begin |
163 |
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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178 |
||
515 | 179 |
operator - (const z1: hwFloat) z : hwFloat; |
351 | 180 |
begin |
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z:= z1; |
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z.isNegative:= not z.isNegative |
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183 |
end; |
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184 |
||
185 |
||
515 | 186 |
operator * (const z1, z2: hwFloat) z : hwFloat; |
351 | 187 |
begin |
188 |
z.isNegative:= z1.isNegative xor z2.isNegative; |
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z.QWordValue:= QWord(z1.Round) * z2.Frac + |
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QWord(z1.Frac) * z2.Round + |
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((QWord(z1.Frac) * z2.Frac) shr 32); |
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z.Round:= z.Round + QWord(z1.Round) * z2.Round; |
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end; |
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194 |
||
515 | 195 |
operator * (const z1: hwFloat; const z2: LongInt) z : hwFloat; |
351 | 196 |
begin |
197 |
z.isNegative:= z1.isNegative xor (z2 < 0); |
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515 | 198 |
z.QWordValue:= z1.QWordValue * abs(z2) |
351 | 199 |
end; |
200 |
||
515 | 201 |
operator / (const z1: hwFloat; z2: hwFloat) z : hwFloat; |
351 | 202 |
var t: hwFloat; |
203 |
begin |
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204 |
z.isNegative:= z1.isNegative xor z2.isNegative; |
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z.Round:= z1.QWordValue div z2.QWordValue; |
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t:= z1 - z2 * z.Round; |
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207 |
if t.QWordValue = 0 then |
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z.Frac:= 0 |
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209 |
else |
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210 |
begin |
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211 |
while ((t.QWordValue and $8000000000000000) = 0) and |
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212 |
((z2.QWordValue and $8000000000000000) = 0) do |
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213 |
begin |
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214 |
t.QWordValue:= t.QWordValue shl 1; |
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215 |
z2.QWordValue:= z2.QWordValue shl 1 |
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216 |
end; |
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543
465e2ec8f05f
- Better randomness of placing hedgehogs on the land
unc0rr
parents:
538
diff
changeset
|
217 |
if z2.Round > 0 then z.Frac:= (t.QWordValue) div (z2.Round) |
465e2ec8f05f
- Better randomness of placing hedgehogs on the land
unc0rr
parents:
538
diff
changeset
|
218 |
else z.Frac:= 0 |
351 | 219 |
end |
220 |
end; |
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221 |
||
515 | 222 |
operator / (const z1: hwFloat; const z2: LongInt) z : hwFloat; |
498 | 223 |
begin |
224 |
z.isNegative:= z1.isNegative xor (z2 < 0); |
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515 | 225 |
z.QWordValue:= z1.QWordValue div abs(z2) |
498 | 226 |
end; |
227 |
||
515 | 228 |
operator < (const z1, z2: hwFloat) b : boolean; |
351 | 229 |
begin |
230 |
if z1.isNegative <> z2.isNegative then |
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231 |
b:= z1.isNegative |
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232 |
else |
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233 |
if z1.QWordValue = z2.QWordValue then |
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234 |
b:= false |
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235 |
else |
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236 |
b:= (z1.QWordValue < z2.QWordValue) xor z1.isNegative |
|
237 |
end; |
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238 |
||
515 | 239 |
operator > (const z1, z2: hwFloat) b : boolean; |
351 | 240 |
begin |
241 |
if z1.isNegative <> z2.isNegative then |
|
242 |
b:= z2.isNegative |
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243 |
else |
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244 |
if z1.QWordValue = z2.QWordValue then |
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245 |
b:= false |
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246 |
else |
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247 |
b:= (z1.QWordValue > z2.QWordValue) xor z2.isNegative |
|
248 |
end; |
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249 |
||
515 | 250 |
function cstr(const z: hwFloat): string; |
351 | 251 |
var tmpstr: string; |
252 |
begin |
|
253 |
str(z.Round, cstr); |
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254 |
if z.Frac <> 0 then |
|
255 |
begin |
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256 |
str(z.Frac / $100000000:1:15, tmpstr); |
|
257 |
delete(tmpstr, 1, 2); |
|
258 |
cstr:= cstr + '.' + tmpstr |
|
259 |
end; |
|
260 |
if z.isNegative then cstr:= '-' + cstr |
|
261 |
end; |
|
262 |
||
515 | 263 |
function hwRound(const t: hwFloat): LongInt; |
351 | 264 |
begin |
265 |
if t.isNegative then hwRound:= -t.Round |
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266 |
else hwRound:= t.Round |
|
267 |
end; |
|
268 |
||
515 | 269 |
function hwAbs(const t: hwFloat): hwFloat; |
351 | 270 |
begin |
271 |
hwAbs:= t; |
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272 |
hwAbs.isNegative:= false |
|
273 |
end; |
|
274 |
||
515 | 275 |
function hwSqr(const t: hwFloat): hwFloat; |
351 | 276 |
begin |
277 |
hwSqr:= t * t |
|
278 |
end; |
|
279 |
||
515 | 280 |
function hwSqrt(const t: hwFloat): hwFloat; |
357 | 281 |
begin |
282 |
hwSqrt.isNegative:= false; |
|
283 |
hwSqrt.QWordValue:= Round(sqrt(1.0 / $100000000 * (t.QWordValue)) * $100000000) |
|
284 |
end; |
|
285 |
||
515 | 286 |
function Distance(const dx, dy: hwFloat): hwFloat; |
351 | 287 |
var x, y: hwFloat; |
288 |
Result: hwFloat; |
|
289 |
begin |
|
290 |
x:= dx * dx; |
|
291 |
y:= dy * dy; |
|
292 |
Result:= x + y; |
|
357 | 293 |
Result.QWordValue:= Round(sqrt(1.0 / $100000000 * (Result.QWordValue)) * $100000000); |
351 | 294 |
Distance:= Result |
295 |
end; |
|
296 |
||
515 | 297 |
function DistanceI(const dx, dy: LongInt): hwFloat; |
498 | 298 |
begin |
299 |
DistanceI:= Distance(int2hwFloat(dx), int2hwFloat(dy)) |
|
300 |
end; |
|
301 |
||
515 | 302 |
function SignAs(const num, signum: hwFloat): hwFloat; |
498 | 303 |
begin |
304 |
SignAs:= num; |
|
305 |
SignAs.isNegative:= signum.isNegative |
|
306 |
end; |
|
307 |
||
357 | 308 |
{$INCLUDE SinTable.inc} |
309 |
||
515 | 310 |
function AngleSin(const Angle: Longword): hwFloat; |
351 | 311 |
begin |
312 |
AngleSin.isNegative:= false; |
|
357 | 313 |
if Angle < 1024 then AngleSin.QWordValue:= SinTable[Angle] |
314 |
else AngleSin.QWordValue:= SinTable[2048 - Angle] |
|
351 | 315 |
end; |
316 |
||
515 | 317 |
function AngleCos(const Angle: Longword): hwFloat; |
351 | 318 |
begin |
357 | 319 |
AngleCos.isNegative:= Angle > 1024; |
320 |
if Angle < 1024 then AngleCos.QWordValue:= SinTable[1024 - Angle] |
|
321 |
else AngleCos.QWordValue:= SinTable[Angle - 1024] |
|
351 | 322 |
end; |
323 |
||
324 |
{$ENDIF} |
|
325 |
||
326 |
end. |