author | nemo |
Sun, 24 Jul 2011 14:42:28 -0400 | |
changeset 5443 | 83cb9dd54469 |
parent 5319 | 51d8e4747876 |
child 5599 | 2e4b90f33a83 |
child 5832 | f730c8a9777b |
permissions | -rw-r--r-- |
351 | 1 |
(* |
1066 | 2 |
* Hedgewars, a free turn based strategy game |
4976 | 3 |
* Copyright (c) 2004-2011 Andrey Korotaev <unC0Rr@gmail.com> |
351 | 4 |
* |
5 |
* This program is free software; you can redistribute it and/or modify |
|
6 |
* it under the terms of the GNU General Public License as published by |
|
7 |
* the Free Software Foundation; version 2 of the License |
|
8 |
* |
|
9 |
* This program is distributed in the hope that it will be useful, |
|
10 |
* but WITHOUT ANY WARRANTY; without even the implied warranty of |
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11 |
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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12 |
* GNU General Public License for more details. |
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13 |
* |
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14 |
* You should have received a copy of the GNU General Public License |
|
15 |
* along with this program; if not, write to the Free Software |
|
16 |
* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA |
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17 |
*) |
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18 |
||
2630 | 19 |
{$INCLUDE "options.inc"} |
20 |
||
351 | 21 |
unit uFloat; |
5122 | 22 |
(* |
23 |
* This unit provides a custom data type, hwFloat. |
|
24 |
* |
|
25 |
* hwFloat represents a floating point number - the value and operations |
|
26 |
* of this numbers are independent from the hardware architecture |
|
27 |
* the game runs on. |
|
28 |
* |
|
29 |
* This is important for calculations that affect the course of the game |
|
30 |
* and would lead to different results if based on a hardware dependent |
|
31 |
* data type. |
|
32 |
* |
|
33 |
* Note: Not all comparisons are implemented. |
|
34 |
* |
|
35 |
* Note: Below you'll find a list of hwFloat constants: |
|
36 |
* E.g. _1 is an hwFloat with value 1.0, and -_0_9 is -0.9 |
|
5124 | 37 |
* Use and extend the list if needed, rather than using int2hwFloat() |
38 |
* with integer constants. |
|
5122 | 39 |
*) |
351 | 40 |
interface |
41 |
||
42 |
{$IFDEF FPC} |
|
2599 | 43 |
{$IFDEF ENDIAN_LITTLE} |
351 | 44 |
type hwFloat = record |
45 |
isNegative: boolean; |
|
46 |
case byte of |
|
47 |
0: (Frac, Round: Longword); |
|
48 |
1: (QWordValue : QWord); |
|
49 |
end; |
|
2599 | 50 |
{$ELSE} |
351 | 51 |
type hwFloat = record |
52 |
isNegative: boolean; |
|
53 |
case byte of |
|
54 |
0: (Round, Frac: Longword); |
|
55 |
1: (QWordValue : QWord); |
|
56 |
end; |
|
2599 | 57 |
{$ENDIF} |
351 | 58 |
|
5122 | 59 |
// Returns an hwFloat that represents the value of integer parameter i |
3599 | 60 |
function int2hwFloat (const i: LongInt) : hwFloat; inline; |
5151
cbadb9fa52fc
An experiment - make bazooka AI use float instead of hwFloat - should be as accurate, but faster.
nemo
parents:
5124
diff
changeset
|
61 |
function hwFloat2Float (const i: hwFloat) : extended; inline; |
351 | 62 |
|
5122 | 63 |
// The implemented operators |
64 |
||
3599 | 65 |
operator + (const z1, z2: hwFloat) z : hwFloat; inline; |
66 |
operator - (const z1, z2: hwFloat) z : hwFloat; inline; |
|
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
|
67 |
operator - (const z1: hwFloat) z : hwFloat; inline; |
351 | 68 |
|
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
|
69 |
operator * (const z1, z2: hwFloat) z : hwFloat; inline; |
3599 | 70 |
operator * (const z1: hwFloat; const z2: LongInt) z : hwFloat; inline; |
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
|
71 |
operator / (const z1: hwFloat; z2: hwFloat) z : hwFloat; inline; |
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
|
72 |
operator / (const z1: hwFloat; const z2: LongInt) z : hwFloat; inline; |
351 | 73 |
|
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
|
74 |
operator < (const z1, z2: hwFloat) b : boolean; inline; |
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
|
75 |
operator > (const z1, z2: hwFloat) b : boolean; inline; |
351 | 76 |
|
5122 | 77 |
|
78 |
// Various functions for hwFloat (some are inlined in the resulting code for better performance) |
|
79 |
||
80 |
function cstr(const z: hwFloat): shortstring; // Returns a shortstring representations of the hwFloat. |
|
81 |
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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82 |
function hwAbs(const t: hwFloat): hwFloat; inline; // Returns the value of t with positive sign. |
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83 |
function hwSqr(const t: hwFloat): hwFloat; inline; // Returns the square value of parameter t. |
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84 |
function hwSqrt(const t: hwFloat): hwFloat; inline; // Returns the the positive square root of parameter t. |
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85 |
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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86 |
function DistanceI(const dx, dy: LongInt): hwFloat; // Same as above for integer parameters. |
|
515 | 87 |
function AngleSin(const Angle: Longword): hwFloat; |
88 |
function AngleCos(const Angle: Longword): hwFloat; |
|
5122 | 89 |
function SignAs(const num, signum: hwFloat): hwFloat; inline; // Returns an hwFloat with the value of parameter num and the sign of signum. |
90 |
function hwSign(r: hwFloat): LongInt; inline; // Returns an integer with value 1 and sign of parameter r. |
|
351 | 91 |
|
2599 | 92 |
{$IFDEF FPC} |
538 | 93 |
{$J-} |
2599 | 94 |
{$ENDIF} |
611 | 95 |
{$WARNINGS OFF} |
5122 | 96 |
|
97 |
||
98 |
// some hwFloat constants |
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99 |
||
351 | 100 |
const _1div1024: hwFloat = (isNegative: false; QWordValue: 4194304); |
101 |
_1div10000: hwFloat = (isNegative: false; QWordValue: 429496); |
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102 |
_1div50000: hwFloat = (isNegative: false; QWordValue: 85899); |
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103 |
_1div100000: hwFloat = (isNegative: false; QWordValue: 42950); |
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104 |
_1div3: hwFloat = (isNegative: false; QWordValue: 1431655766); |
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105 |
hwPi: hwFloat = (isNegative: false; QWordValue: 13493037704); |
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106 |
_0_000004: hwFloat = (isNegative: false; QWordValue: 17179); |
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3591 | 107 |
_0_000064: hwFloat = (isNegative: false; QWordValue: 274878); |
351 | 108 |
_0_0002: hwFloat = (isNegative: false; QWordValue: 858993); |
1586 | 109 |
_0_0005: hwFloat = (isNegative: false; QWordValue: 2147484); |
351 | 110 |
_0_001: hwFloat = (isNegative: false; QWordValue: 4294967); |
111 |
_0_003: hwFloat = (isNegative: false; QWordValue: 12884902); |
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112 |
_0_004: hwFloat = (isNegative: false; QWordValue: 17179869); |
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113 |
_0_005: hwFloat = (isNegative: false; QWordValue: 21474836); |
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3428 | 114 |
_0_008: hwFloat = (isNegative: false; QWordValue: 34359738); |
351 | 115 |
_0_01: hwFloat = (isNegative: false; QWordValue: 42949673); |
116 |
_0_02: hwFloat = (isNegative: false; QWordValue: 85899345); |
|
117 |
_0_03: hwFloat = (isNegative: false; QWordValue: 128849018); |
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118 |
_0_08: hwFloat = (isNegative: false; QWordValue: 343597383); |
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365 | 119 |
_0_1: hwFloat = (isNegative: false; QWordValue: 429496730); |
351 | 120 |
_0_15: hwFloat = (isNegative: false; QWordValue: 644245094); |
121 |
_0_2: hwFloat = (isNegative: false; QWordValue: 858993459); |
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122 |
_0_25: hwFloat = (isNegative: false; QWordValue: 1073741824); |
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123 |
_0_3: hwFloat = (isNegative: false; QWordValue: 1288490189); |
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124 |
_0_35: hwFloat = (isNegative: false; QWordValue: 1503238553); |
|
2784 | 125 |
_0_375: hwFloat = (isNegative: false; QWordValue: 4294967296 * 3 div 8); |
835
6f567934cc44
Automatically use parachute when vertical speed is high enough
unc0rr
parents:
745
diff
changeset
|
126 |
_0_39: hwFloat = (isNegative: false; QWordValue: 1675037245); |
351 | 127 |
_0_4: hwFloat = (isNegative: false; QWordValue: 1717986918); |
128 |
_0_45: hwFloat = (isNegative: false; QWordValue: 1932735283); |
|
129 |
_0_5: hwFloat = (isNegative: false; QWordValue: 2147483648); |
|
130 |
_0_55: hwFloat = (isNegative: false; QWordValue: 2362232012); |
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131 |
_0_6: hwFloat = (isNegative: false; QWordValue: 2576980377); |
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3583 | 132 |
_0_64: hwFloat = (isNegative: false; QWordValue: 2748779064); |
358 | 133 |
_0_7: hwFloat = (isNegative: false; QWordValue: 3006477107); |
351 | 134 |
_0_8: hwFloat = (isNegative: false; QWordValue: 3435973837); |
135 |
_0_84: hwFloat = (isNegative: false; QWordValue: 3607772528); |
|
136 |
_0_87: hwFloat = (isNegative: false; QWordValue: 3736621547); |
|
137 |
_0_9: hwFloat = (isNegative: false; QWordValue: 3865470566); |
|
138 |
_0_93: hwFloat = (isNegative: false; QWordValue: 3994319585); |
|
139 |
_0_96: hwFloat = (isNegative: false; QWordValue: 4123168604); |
|
140 |
_0_995: hwFloat = (isNegative: false; QWordValue: 4273492459); |
|
141 |
_0_999: hwFloat = (isNegative: false; QWordValue: 4290672328); |
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498 | 142 |
_0: hwFloat = (isNegative: false; QWordValue: 0); |
143 |
_1: hwFloat = (isNegative: false; QWordValue: 4294967296); |
|
513
69e06d710d46
Moving hedgehog could get another hedgehog moving forward
unc0rr
parents:
498
diff
changeset
|
144 |
_1_5: hwFloat = (isNegative: false; QWordValue: 4294967296 * 3 div 2); |
3584 | 145 |
_1_9: hwFloat = (isNegative: false; QWordValue: 8160437862); |
498 | 146 |
_2: hwFloat = (isNegative: false; QWordValue: 4294967296 * 2); |
147 |
_3: hwFloat = (isNegative: false; QWordValue: 4294967296 * 3); |
|
148 |
_4: hwFloat = (isNegative: false; QWordValue: 4294967296 * 4); |
|
149 |
_5: hwFloat = (isNegative: false; QWordValue: 4294967296 * 5); |
|
150 |
_6: hwFloat = (isNegative: false; QWordValue: 4294967296 * 6); |
|
151 |
_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
|
152 |
_12: hwFloat = (isNegative: false; QWordValue: 4294967296 * 12); |
498 | 153 |
_16: hwFloat = (isNegative: false; QWordValue: 4294967296 * 16); |
154 |
_19: hwFloat = (isNegative: false; QWordValue: 4294967296 * 19); |
|
155 |
_20: hwFloat = (isNegative: false; QWordValue: 4294967296 * 20); |
|
156 |
_25: hwFloat = (isNegative: false; QWordValue: 4294967296 * 25); |
|
157 |
_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
|
158 |
_40: hwFloat = (isNegative: false; QWordValue: 4294967296 * 40); |
3036
c6ba6531cb4b
Make barrels a little more likely to blow up. 25% more damage in fall
nemo
parents:
2955
diff
changeset
|
159 |
_50: hwFloat = (isNegative: false; QWordValue: 4294967296 * 50); |
2933 | 160 |
_70: hwFloat = (isNegative: false; QWordValue: 4294967296 * 70); |
498 | 161 |
_128: hwFloat = (isNegative: false; QWordValue: 4294967296 * 128); |
5319
51d8e4747876
bounce. tweak of values, remove friction modifier, move to weapon, to match timer behaviour
nemo
parents:
5192
diff
changeset
|
162 |
_250: hwFloat = (isNegative: false; QWordValue: 4294967296 * 250); |
1915 | 163 |
_256: hwFloat = (isNegative: false; QWordValue: 4294967296 * 256); |
1124 | 164 |
_300: hwFloat = (isNegative: false; QWordValue: 4294967296 * 300); |
498 | 165 |
_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
|
166 |
_1000: hwFloat = (isNegative: false; QWordValue: 4294967296 * 1000); |
611 | 167 |
_1024: hwFloat = (isNegative: false; QWordValue: 4294967296 * 1024); |
168 |
_2048: hwFloat = (isNegative: false; QWordValue: 4294967296 * 2048); |
|
1753 | 169 |
_4096: hwFloat = (isNegative: false; QWordValue: 4294967296 * 4096); |
498 | 170 |
_10000: hwFloat = (isNegative: false; QWordValue: 4294967296 * 10000); |
351 | 171 |
|
172 |
cLittle: hwFloat = (isNegative: false; QWordValue: 1); |
|
967 | 173 |
cHHKick: hwFloat = (isNegative: false; QWordValue: 42949673); // _0_01 |
611 | 174 |
{$WARNINGS ON} |
351 | 175 |
{$ENDIF} |
176 |
||
177 |
{$IFNDEF FPC} |
|
178 |
type hwFloat = Extended; |
|
179 |
{$ENDIF} |
|
180 |
||
181 |
implementation |
|
4415 | 182 |
uses uSinTable; |
351 | 183 |
|
3599 | 184 |
|
351 | 185 |
{$IFDEF FPC} |
186 |
||
515 | 187 |
function int2hwFloat (const i: LongInt) : hwFloat; |
351 | 188 |
begin |
498 | 189 |
int2hwFloat.isNegative:= i < 0; |
190 |
int2hwFloat.Round:= abs(i); |
|
191 |
int2hwFloat.Frac:= 0 |
|
351 | 192 |
end; |
193 |
||
5151
cbadb9fa52fc
An experiment - make bazooka AI use float instead of hwFloat - should be as accurate, but faster.
nemo
parents:
5124
diff
changeset
|
194 |
function hwFloat2Float (const i: hwFloat) : extended; |
cbadb9fa52fc
An experiment - make bazooka AI use float instead of hwFloat - should be as accurate, but faster.
nemo
parents:
5124
diff
changeset
|
195 |
begin |
cbadb9fa52fc
An experiment - make bazooka AI use float instead of hwFloat - should be as accurate, but faster.
nemo
parents:
5124
diff
changeset
|
196 |
hwFloat2Float:= i.QWordValue / $100000000; |
5192 | 197 |
if i.isNegative then 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
|
198 |
end; |
cbadb9fa52fc
An experiment - make bazooka AI use float instead of hwFloat - should be as accurate, but faster.
nemo
parents:
5124
diff
changeset
|
199 |
|
515 | 200 |
operator + (const z1, z2: hwFloat) z : hwFloat; |
351 | 201 |
begin |
202 |
if z1.isNegative = z2.isNegative then |
|
203 |
begin |
|
204 |
z.isNegative:= z1.isNegative; |
|
205 |
z.QWordValue:= z1.QWordValue + z2.QWordValue |
|
206 |
end |
|
207 |
else |
|
208 |
if z1.QWordValue > z2.QWordValue then |
|
209 |
begin |
|
210 |
z.isNegative:= z1.isNegative; |
|
211 |
z.QWordValue:= z1.QWordValue - z2.QWordValue |
|
212 |
end else |
|
213 |
begin |
|
214 |
z.isNegative:= z2.isNegative; |
|
215 |
z.QWordValue:= z2.QWordValue - z1.QWordValue |
|
216 |
end |
|
217 |
end; |
|
218 |
||
515 | 219 |
operator - (const z1, z2: hwFloat) z : hwFloat; |
351 | 220 |
begin |
221 |
if z1.isNegative = z2.isNegative then |
|
222 |
if z1.QWordValue > z2.QWordValue then |
|
223 |
begin |
|
224 |
z.isNegative:= z1.isNegative; |
|
225 |
z.QWordValue:= z1.QWordValue - z2.QWordValue |
|
226 |
end else |
|
227 |
begin |
|
228 |
z.isNegative:= not z2.isNegative; |
|
229 |
z.QWordValue:= z2.QWordValue - z1.QWordValue |
|
230 |
end |
|
231 |
else begin |
|
232 |
z.isNegative:= z1.isNegative; |
|
233 |
z.QWordValue:= z1.QWordValue + z2.QWordValue |
|
234 |
end |
|
235 |
end; |
|
236 |
||
515 | 237 |
operator - (const z1: hwFloat) z : hwFloat; |
351 | 238 |
begin |
239 |
z:= z1; |
|
240 |
z.isNegative:= not z.isNegative |
|
241 |
end; |
|
242 |
||
243 |
||
515 | 244 |
operator * (const z1, z2: hwFloat) z : hwFloat; |
351 | 245 |
begin |
246 |
z.isNegative:= z1.isNegative xor z2.isNegative; |
|
247 |
z.QWordValue:= QWord(z1.Round) * z2.Frac + |
|
248 |
QWord(z1.Frac) * z2.Round + |
|
249 |
((QWord(z1.Frac) * z2.Frac) shr 32); |
|
250 |
z.Round:= z.Round + QWord(z1.Round) * z2.Round; |
|
251 |
end; |
|
252 |
||
515 | 253 |
operator * (const z1: hwFloat; const z2: LongInt) z : hwFloat; |
351 | 254 |
begin |
255 |
z.isNegative:= z1.isNegative xor (z2 < 0); |
|
515 | 256 |
z.QWordValue:= z1.QWordValue * abs(z2) |
351 | 257 |
end; |
258 |
||
515 | 259 |
operator / (const z1: hwFloat; z2: hwFloat) z : hwFloat; |
351 | 260 |
var t: hwFloat; |
261 |
begin |
|
262 |
z.isNegative:= z1.isNegative xor z2.isNegative; |
|
263 |
z.Round:= z1.QWordValue div z2.QWordValue; |
|
264 |
t:= z1 - z2 * z.Round; |
|
265 |
if t.QWordValue = 0 then |
|
266 |
z.Frac:= 0 |
|
267 |
else |
|
268 |
begin |
|
269 |
while ((t.QWordValue and $8000000000000000) = 0) and |
|
270 |
((z2.QWordValue and $8000000000000000) = 0) do |
|
271 |
begin |
|
272 |
t.QWordValue:= t.QWordValue shl 1; |
|
273 |
z2.QWordValue:= z2.QWordValue shl 1 |
|
274 |
end; |
|
543
465e2ec8f05f
- Better randomness of placing hedgehogs on the land
unc0rr
parents:
538
diff
changeset
|
275 |
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
|
276 |
else z.Frac:= 0 |
351 | 277 |
end |
278 |
end; |
|
279 |
||
515 | 280 |
operator / (const z1: hwFloat; const z2: LongInt) z : hwFloat; |
498 | 281 |
begin |
282 |
z.isNegative:= z1.isNegative xor (z2 < 0); |
|
515 | 283 |
z.QWordValue:= z1.QWordValue div abs(z2) |
498 | 284 |
end; |
285 |
||
515 | 286 |
operator < (const z1, z2: hwFloat) b : boolean; |
351 | 287 |
begin |
916 | 288 |
if z1.isNegative xor z2.isNegative then |
351 | 289 |
b:= z1.isNegative |
290 |
else |
|
291 |
if z1.QWordValue = z2.QWordValue then |
|
292 |
b:= false |
|
293 |
else |
|
294 |
b:= (z1.QWordValue < z2.QWordValue) xor z1.isNegative |
|
295 |
end; |
|
296 |
||
515 | 297 |
operator > (const z1, z2: hwFloat) b : boolean; |
351 | 298 |
begin |
916 | 299 |
if z1.isNegative xor z2.isNegative then |
351 | 300 |
b:= z2.isNegative |
301 |
else |
|
302 |
if z1.QWordValue = z2.QWordValue then |
|
303 |
b:= false |
|
304 |
else |
|
305 |
b:= (z1.QWordValue > z2.QWordValue) xor z2.isNegative |
|
306 |
end; |
|
307 |
||
2905 | 308 |
function cstr(const z: hwFloat): shortstring; |
309 |
var tmpstr: shortstring; |
|
351 | 310 |
begin |
311 |
str(z.Round, cstr); |
|
312 |
if z.Frac <> 0 then |
|
313 |
begin |
|
314 |
str(z.Frac / $100000000:1:15, tmpstr); |
|
315 |
delete(tmpstr, 1, 2); |
|
316 |
cstr:= cstr + '.' + tmpstr |
|
317 |
end; |
|
318 |
if z.isNegative then cstr:= '-' + cstr |
|
319 |
end; |
|
320 |
||
515 | 321 |
function hwRound(const t: hwFloat): LongInt; |
351 | 322 |
begin |
2300 | 323 |
if t.isNegative then hwRound:= -(t.Round and $7FFFFFFF) |
324 |
else hwRound:= t.Round and $7FFFFFFF |
|
351 | 325 |
end; |
326 |
||
515 | 327 |
function hwAbs(const t: hwFloat): hwFloat; |
351 | 328 |
begin |
329 |
hwAbs:= t; |
|
330 |
hwAbs.isNegative:= false |
|
331 |
end; |
|
332 |
||
515 | 333 |
function hwSqr(const t: hwFloat): hwFloat; |
351 | 334 |
begin |
1433 | 335 |
hwSqr.isNegative:= false; |
336 |
hwSqr.QWordValue:= |
|
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changeset
|
337 |
((QWord(t.Round) * t.Round) shl 32) |
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changeset
|
338 |
+ QWord(t.Round) * t.Frac * 2 |
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changeset
|
339 |
+ ((QWord(t.Frac) * t.Frac) shr 32); |
351 | 340 |
end; |
341 |
||
515 | 342 |
function hwSqrt(const t: hwFloat): hwFloat; |
738 | 343 |
var l, r: QWord; |
344 |
c: hwFloat; |
|
357 | 345 |
begin |
346 |
hwSqrt.isNegative:= false; |
|
744 | 347 |
|
348 |
if t.Round = 0 then |
|
349 |
begin |
|
350 |
l:= t.QWordValue; |
|
351 |
r:= $100000000 |
|
352 |
end else |
|
353 |
begin |
|
354 |
l:= $100000000; |
|
953
237fc147950c
Fix bug in hwSqrt when calculating square root of number >= 65536
unc0rr
parents:
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diff
changeset
|
355 |
r:= t.QWordValue div 2 + $80000000; // r:= t / 2 + 0.5 |
237fc147950c
Fix bug in hwSqrt when calculating square root of number >= 65536
unc0rr
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diff
changeset
|
356 |
if r > $FFFFFFFFFFFF then r:= $FFFFFFFFFFFF |
744 | 357 |
end; |
358 |
||
738 | 359 |
repeat |
360 |
c.QWordValue:= (l + r) div 2; |
|
361 |
if hwSqr(c).QWordValue > t.QWordValue then r:= c.QWordValue else l:= c.QWordValue |
|
362 |
until r - l <= 1; |
|
744 | 363 |
|
738 | 364 |
hwSqrt.QWordValue:= l |
357 | 365 |
end; |
366 |
||
515 | 367 |
function Distance(const dx, dy: hwFloat): hwFloat; |
351 | 368 |
begin |
738 | 369 |
Distance:= hwSqrt(hwSqr(dx) + hwSqr(dy)) |
351 | 370 |
end; |
371 |
||
515 | 372 |
function DistanceI(const dx, dy: LongInt): hwFloat; |
498 | 373 |
begin |
856 | 374 |
DistanceI:= hwSqrt(int2hwFloat(sqr(dx) + sqr(dy))) |
498 | 375 |
end; |
376 |
||
515 | 377 |
function SignAs(const num, signum: hwFloat): hwFloat; |
498 | 378 |
begin |
856 | 379 |
SignAs.QWordValue:= num.QWordValue; |
498 | 380 |
SignAs.isNegative:= signum.isNegative |
381 |
end; |
|
382 |
||
4374 | 383 |
function hwSign(r: hwFloat): LongInt; |
384 |
begin |
|
385 |
// yes, we have negative zero for a reason |
|
386 |
if r.isNegative then hwSign:= -1 else hwSign:= 1 |
|
387 |
end; |
|
388 |
||
357 | 389 |
|
515 | 390 |
function AngleSin(const Angle: Longword): hwFloat; |
351 | 391 |
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
|
392 |
//TryDo((Angle >= 0) and (Angle <= 2048), 'Sin param exceeds limits', true); |
351 | 393 |
AngleSin.isNegative:= false; |
357 | 394 |
if Angle < 1024 then AngleSin.QWordValue:= SinTable[Angle] |
395 |
else AngleSin.QWordValue:= SinTable[2048 - Angle] |
|
351 | 396 |
end; |
397 |
||
515 | 398 |
function AngleCos(const Angle: Longword): hwFloat; |
351 | 399 |
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
|
400 |
//TryDo((Angle >= 0) and (Angle <= 2048), 'Cos param exceeds limits', true); |
357 | 401 |
AngleCos.isNegative:= Angle > 1024; |
402 |
if Angle < 1024 then AngleCos.QWordValue:= SinTable[1024 - Angle] |
|
403 |
else AngleCos.QWordValue:= SinTable[Angle - 1024] |
|
351 | 404 |
end; |
405 |
||
406 |
{$ENDIF} |
|
407 |
||
408 |
end. |