/*
* PowerTables.c
* Brogue
*
* Created by Brian Walker on 4/9/17.
* Copyright 2017. All rights reserved.
*
* This file is part of Brogue.
*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU Affero General Public License as
* published by the Free Software Foundation, either version 3 of the
* License, or (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU Affero General Public License for more details.
*
* You should have received a copy of the GNU Affero General Public License
* along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
#include "Rogue.h"
#define LAST_INDEX(a) (sizeof(a) / sizeof(fixpt) - 1)
// As of v1.7.5, Brogue does not use floating-point math in any calculations
// that have an effect on substantive gameplay. The two operations that were
// annoying to convert were sqrt() (handled by an open source fixed point sqrt
// implementation in Sqrt.c) and especially pow(). I could not find a fixed point
// pow implementation that was good enough for the wide range of fractional bases
// and exponents. Fortunately, all uses of pow() involved a fixed base and an exponent
// that varied by increments of at least 0.25 (or really 0.1 for armor calculations but
// I fudged that), or a fixed exponent and base that varied similarly. The one exception
// were runic weapon activation chances, which modified the base by the damage of the weapon
// and varied the exponent by the level, but I moved the damage modification into the exponent
// without much affecting the results. So now pow() has been replaced by lookup tables.
// Hopefully this will help with out of sync errors for saved games and recordings...
// game data formulae:
short wandDominate(creature *monst) {return (((monst)->currentHP * 5 < (monst)->info.maxHP) ? 100 : \
max(0, 100 * ((monst)->info.maxHP - (monst)->currentHP) / (monst)->info.maxHP));}
// All "enchant" parameters must already be multiplied by FP_FACTOR:
short staffDamageLow(fixpt enchant) {return ((int) ((2 + enchant / FP_FACTOR) * 3 / 4));}
short staffDamageHigh(fixpt enchant) {return ((int) (4 + (5 * enchant / FP_FACTOR / 2)));}
short staffDamage(fixpt enchant) {return ((int) randClumpedRange(staffDamageLow(enchant), staffDamageHigh(enchant), 1 + (enchant) / 3 / FP_FACTOR));}
short staffBlinkDistance(fixpt enchant) {return ((int) (2 + enchant * 2 / FP_FACTOR));}
short staffHasteDuration(fixpt enchant) {return ((int) (2 + enchant * 4 / FP_FACTOR));}
short staffBladeCount(fixpt enchant) {return ((int) (enchant * 3 / 2 / FP_FACTOR));}
short staffDiscordDuration(fixpt enchant) {return ((int) (enchant * 4 / FP_FACTOR));}
short staffEntrancementDuration(fixpt enchant) {return ((int) (enchant * 3 / FP_FACTOR));}
int staffProtection(fixpt enchant) {
return 130 * fp_pow(FP_FACTOR * 140 / 100, enchant / FP_FACTOR - 2) / FP_FACTOR;
}
int staffPoison(fixpt enchant) {
const fixpt POW_POISON[] = {
// 1.3^x fixed point, with x from 0 to 50 in increments of 1:
65536, 85196, 110755, 143982, 187177, 243330, 316329, 411228, 534597, 694976, 903469, 1174510, 1526863, 1984922, 2580398, 3354518, 4360874, 5669136, 7369877,
9580840, 12455093, 16191620, 21049107, 27363839, 35572991, 46244888, 60118355, 78153861, 101600020, 132080026, 171704034, 223215244, 290179818, 377233763,
490403892, 637525060, 828782579, 1077417352, 1400642558, 1820835326, 2367085924, 3077211701, 4000375211, 5200487775, 6760634107, 8788824340, 11425471642,
14853113134, 19309047075, 25101761197, 32632289557};
short idx = clamp(enchant / FP_FACTOR - 2, 0, LAST_INDEX(POW_POISON));
return 5 * POW_POISON[idx] / FP_FACTOR;
}
fixpt ringWisdomMultiplier(fixpt enchant) {
const fixpt POW_WISDOM[] = {
// 1.3^x fixed point, with x from -10 to 30 in increments of 1:
4753, 6180, 8034, 10444, 13577, 17650, 22945, 29829, 38778, 50412, 65536, 85196, 110755, 143982, 187177, 243330, 316329, 411228, 534597, 694976, 903469,
1174510, 1526863, 1984922, 2580398, 3354518, 4360874, 5669136, 7369877, 9580840, 12455093, 16191620, 21049107, 27363839, 35572991, 46244888, 60118355,
78153861, 101600020, 132080026, 171704034};
short idx = clamp(min(27, enchant / FP_FACTOR) + 10, 0, LAST_INDEX(POW_WISDOM));
return POW_WISDOM[idx];
}
short charmHealing(fixpt enchant) {return ((int) clamp(20 * (enchant) / FP_FACTOR, 0, 100));}
short charmShattering(fixpt enchant) {return ((int) (4 + (enchant / FP_FACTOR)));}
short charmGuardianLifespan(fixpt enchant) {return ((int) (4 + 2 * (enchant / FP_FACTOR)));}
short charmNegationRadius(fixpt enchant) {return ((int) (1 + 3 * (enchant / FP_FACTOR)));}
int charmProtection(fixpt enchant) {
const fixpt POW_CHARM_PROTECTION[] = {
// 1.35^x fixed point, with x from 0 to 50 in increments of 1:
65536, 88473, 119439, 161243, 217678, 293865, 396718, 535570, 723019, 976076, 1317703, 1778899, 2401514, 3242044, 4376759, 5908625, 7976644, 10768469,
14537434, 19625536, 26494473, 35767539, 48286178, 65186341, 88001560, 118802106, 160382844, 216516839, 292297733, 394601940, 532712620, 719162037, 970868750,
1310672812, 1769408297, 2388701201, 3224746621, 4353407939, 5877100717, 7934085969, 10711016058, 14459871678, 19520826766, 26353116134, 35576706781,
48028554155, 64838548109, 87532039948, 118168253930, 159527142806, 215361642788};
short idx = clamp(enchant / FP_FACTOR - 1, 0, LAST_INDEX(POW_CHARM_PROTECTION));
return 150 * POW_CHARM_PROTECTION[idx] / FP_FACTOR;
}
short weaponParalysisDuration(fixpt enchant) {return (max(2, (int) (2 + ((enchant) / 2 / FP_FACTOR))));}
short weaponConfusionDuration(fixpt enchant) {return (max(3, (int) ((enchant) * 3/2 / FP_FACTOR)));}
short weaponForceDistance(fixpt enchant) {return (max(4, (int) (((enchant) * 2 / FP_FACTOR) + 2)));} // Depends on definition of staffBlinkDistance() above.
short weaponSlowDuration(fixpt enchant) {return (max(3, (int) ((((enchant) / FP_FACTOR) + 2) * ((enchant) + (2 * FP_FACTOR))) / 3 / FP_FACTOR));}
short weaponImageCount(fixpt enchant) {return (clamp((int) ((enchant) / 3 / FP_FACTOR), 1, 7));}
short weaponImageDuration(fixpt enchant) {return 3;}
short armorReprisalPercent(fixpt enchant) {return (max(5, (int) ((enchant) * 5 / FP_FACTOR)));}
short armorAbsorptionMax(fixpt enchant) {return (max(1, (int) ((enchant) / FP_FACTOR)));}
short armorImageCount(fixpt enchant) {return (clamp((int) ((enchant) / 3 / FP_FACTOR), 1, 5));}
short reflectionChance(fixpt enchant) {
const fixpt POW_REFLECT[] = {
// 0.85^x fixed point, with x from 0.25 to 50 in increments of 0.25:
62926, 60421, 58015, 55705, 53487, 51358, 49313, 47349, 45464, 43654, 41916, 40247, 38644, 37106, 35628, 34210, 32848, 31540, 30284, 29078, 27920,
26809, 25741, 24716, 23732, 22787, 21880, 21009, 20172, 19369, 18598, 17857, 17146, 16464, 15808, 15179, 14574, 13994, 13437, 12902, 12388, 11895, 11421,
10967, 10530, 10111, 9708, 9321, 8950, 8594, 8252, 7923, 7608, 7305, 7014, 6735, 6466, 6209, 5962, 5724, 5496, 5278, 5067, 4866, 4672, 4486, 4307, 4136,
3971, 3813, 3661, 3515, 3375, 3241, 3112, 2988, 2869, 2755, 2645, 2540, 2439, 2341, 2248, 2159, 2073, 1990, 1911, 1835, 1762, 1692, 1624, 1559, 1497, 1438,
1380, 1325, 1273, 1222, 1173, 1127, 1082, 1039, 997, 958, 919, 883, 848, 814, 781, 750, 720, 692, 664, 638, 612, 588, 564, 542, 520, 500, 480, 461, 442,
425, 408, 391, 376, 361, 346, 333, 319, 307, 294, 283, 271, 261, 250, 240, 231, 221, 213, 204, 196, 188, 181, 173, 166, 160, 153, 147, 141, 136, 130, 125,
120, 115, 111, 106, 102, 98, 94, 90, 87, 83, 80, 77, 74, 71, 68, 65, 62, 60, 58, 55, 53, 51, 49, 47, 45, 43, 41, 40, 38, 37, 35, 34, 32, 31, 30, 29, 27,
26, 25, 24, 23, 22, 21, 21, 20, 19};
short idx = clamp(enchant * 4 / FP_FACTOR - 1, 0, LAST_INDEX(POW_REFLECT));
return clamp(100 - (100 * POW_REFLECT[idx] / FP_FACTOR), 1, 100);
}
long turnsForFullRegenInThousandths(fixpt bonus) {
const fixpt POW_REGEN[] = {
// 0.75^x fixed point, with x from -10 to 50 in increments of 1:
1163770, 872827, 654620, 490965, 368224, 276168, 207126, 155344, 116508, 87381, 65536, 49152, 36864, 27648, 20736, 15552, 11664, 8748, 6561, 4920, 3690,
2767, 2075, 1556, 1167, 875, 656, 492, 369, 277, 207, 155, 116, 87, 65, 49, 36, 27, 20, 15, 11, 8, 6, 4, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0};
// This will max out at full regeneration in about two turns.
// This is the Syd nerf, after Syd broke the game over his knee with a +18 ring of regeneration.
short idx = clamp(bonus / FP_FACTOR + 10, 0, LAST_INDEX(POW_REGEN));
return (1000 * TURNS_FOR_FULL_REGEN * POW_REGEN[idx] / FP_FACTOR) + 2000;
}
fixpt damageFraction(fixpt netEnchant) {
const fixpt POW_DAMAGE_FRACTION[] = {
// 1.065^x fixed point, with x representing a change in 0.25 weapon enchantment points, ranging from -20 to 50.
18598, 18894, 19193, 19498, 19807, 20122, 20441, 20765, 21095, 21430, 21770, 22115, 22466, 22823, 23185, 23553, 23926, 24306, 24692, 25084, 25482, 25886,
26297, 26714, 27138, 27569, 28006, 28451, 28902, 29361, 29827, 30300, 30781, 31269, 31765, 32269, 32781, 33302, 33830, 34367, 34912, 35466, 36029, 36601,
37182, 37772, 38371, 38980, 39598, 40227, 40865, 41514, 42172, 42842, 43521, 44212, 44914, 45626, 46350, 47086, 47833, 48592, 49363, 50146, 50942, 51751,
52572, 53406, 54253, 55114, 55989, 56877, 57780, 58697, 59628, 60574, 61536, 62512, 63504, 64512, 65536, 66575, 67632, 68705, 69795, 70903, 72028, 73171,
74332, 75512, 76710, 77927, 79164, 80420, 81696, 82992, 84309, 85647, 87006, 88387, 89789, 91214, 92662, 94132, 95626, 97143, 98685, 100251, 101842, 103458,
105099, 106767, 108461, 110182, 111931, 113707, 115511, 117344, 119206, 121098, 123020, 124972, 126955, 128969, 131016, 133095, 135207, 137352, 139532,
141746, 143995, 146280, 148602, 150960, 153355, 155789, 158261, 160772, 163323, 165915, 168548, 171222, 173939, 176699, 179503, 182352, 185245, 188185,
191171, 194205, 197286, 200417, 203597, 206828, 210110, 213444, 216831, 220272, 223767, 227318, 230925, 234589, 238312, 242094, 245935, 249838, 253802,
257830, 261921, 266077, 270300, 274589, 278946, 283372, 287869, 292437, 297078, 301792, 306581, 311445, 316388, 321408, 326508, 331689, 336953, 342300,
347731, 353249, 358855, 364549, 370334, 376211, 382180, 388245, 394406, 400664, 407022, 413481, 420042, 426707, 433479, 440357, 447345, 454443, 461655,
468980, 476422, 483982, 491662, 499464, 507390, 515441, 523620, 531929, 540370, 548945, 557656, 566505, 575494, 584626, 593903, 603328, 612901, 622627,
632507, 642544, 652740, 663098, 673620, 684309, 695168, 706199, 717406, 728790, 740354, 752102, 764037, 776161, 788477, 800989, 813699, 826611, 839728,
853053, 866590, 880341, 894311, 908502, 922918, 937563, 952441, 967555, 982908, 998505, 1014350, 1030446, 1046797, 1063408, 1080282, 1097425, 1114839,
1132529, 1150501, 1168757, 1187303, 1206144, 1225283, 1244726, 1264478, 1284543, 1304927, 1325634, 1346669, 1368039, 1389747, 1411800, 1434203, 1456961,
1480081, 1503567, 1527426};
short idx = clamp(netEnchant * 4 / FP_FACTOR + 80, 0, LAST_INDEX(POW_DAMAGE_FRACTION));
return POW_DAMAGE_FRACTION[idx];
}
fixpt accuracyFraction(fixpt netEnchant) {
const fixpt POW_ACCURACY_FRACTION[] = {
// 1.065^x fixed point, with x representing a change in 0.25 weapon enchantment points (as displayed), ranging from -20 to 50.
18598, 18894, 19193, 19498, 19807, 20122, 20441, 20765, 21095, 21430, 21770, 22115, 22466, 22823, 23185, 23553, 23926, 24306, 24692, 25084, 25482, 25886,
26297, 26714, 27138, 27569, 28006, 28451, 28902, 29361, 29827, 30300, 30781, 31269, 31765, 32269, 32781, 33302, 33830, 34367, 34912, 35466, 36029, 36601,
37182, 37772, 38371, 38980, 39598, 40227, 40865, 41514, 42172, 42842, 43521, 44212, 44914, 45626, 46350, 47086, 47833, 48592, 49363, 50146, 50942, 51751,
52572, 53406, 54253, 55114, 55989, 56877, 57780, 58697, 59628, 60574, 61536, 62512, 63504, 64512, 65536, 66575, 67632, 68705, 69795, 70903, 72028, 73171,
74332, 75512, 76710, 77927, 79164, 80420, 81696, 82992, 84309, 85647, 87006, 88387, 89789, 91214, 92662, 94132, 95626, 97143, 98685, 100251, 101842, 103458,
105099, 106767, 108461, 110182, 111931, 113707, 115511, 117344, 119206, 121098, 123020, 124972, 126955, 128969, 131016, 133095, 135207, 137352, 139532,
141746, 143995, 146280, 148602, 150960, 153355, 155789, 158261, 160772, 163323, 165915, 168548, 171222, 173939, 176699, 179503, 182352, 185245, 188185,
191171, 194205, 197286, 200417, 203597, 206828, 210110, 213444, 216831, 220272, 223767, 227318, 230925, 234589, 238312, 242094, 245935, 249838, 253802,
257830, 261921, 266077, 270300, 274589, 278946, 283372, 287869, 292437, 297078, 301792, 306581, 311445, 316388, 321408, 326508, 331689, 336953, 342300,
347731, 353249, 358855, 364549, 370334, 376211, 382180, 388245, 394406, 400664, 407022, 413481, 420042, 426707, 433479, 440357, 447345, 454443, 461655,
468980, 476422, 483982, 491662, 499464, 507390, 515441, 523620, 531929, 540370, 548945, 557656, 566505, 575494, 584626, 593903, 603328, 612901, 622627,
632507, 642544, 652740, 663098, 673620, 684309, 695168, 706199, 717406, 728790, 740354, 752102, 764037, 776161, 788477, 800989, 813699, 826611, 839728,
853053, 866590, 880341, 894311, 908502, 922918, 937563, 952441, 967555, 982908, 998505, 1014350, 1030446, 1046797, 1063408, 1080282, 1097425, 1114839,
1132529, 1150501, 1168757, 1187303, 1206144, 1225283, 1244726, 1264478, 1284543, 1304927, 1325634, 1346669, 1368039, 1389747, 1411800, 1434203, 1456961,
1480081, 1503567, 1527426};
short idx = clamp(netEnchant * 4 / FP_FACTOR + 80, 0, LAST_INDEX(POW_ACCURACY_FRACTION));
return POW_ACCURACY_FRACTION[idx];
}
fixpt defenseFraction(fixpt netDefense) {
const fixpt POW_DEFENSE_FRACTION[] = {
// 0.877347265^x fixed point, with x representing a change in 0.25 armor points (as displayed), ranging from -20 to 50.
897530, 868644, 840688, 813632, 787446, 762103, 737575, 713837, 690863, 668629, 647110, 626283, 606127, 586619, 567740, 549468,
531784, 514669, 498105, 482074, 466559, 451543, 437011, 422946, 409334, 396160, 383410, 371071, 359128, 347570, 336384, 325558,
315080, 304940, 295125, 285627, 276435, 267538, 258927, 250594, 242529, 234724, 227169, 219858, 212782, 205934, 199306, 192892,
186684, 180676, 174861, 169233, 163786, 158515, 153414, 148476, 143698, 139073, 134597, 130265, 126073, 122015, 118088, 114288,
110609, 107050, 103604, 100270, 97043, 93920, 90897, 87971, 85140, 82400, 79748, 77181, 74697, 72293, 69967, 67715, 65536, 63426,
61385, 59409, 57497, 55647, 53856, 52123, 50445, 48822, 47250, 45730, 44258, 42833, 41455, 40121, 38829, 37580, 36370, 35200, 34067,
32970, 31909, 30882, 29888, 28926, 27995, 27094, 26222, 25378, 24562, 23771, 23006, 22266, 21549, 20855, 20184, 19535, 18906, 18297,
17709, 17139, 16587, 16053, 15536, 15036, 14552, 14084, 13631, 13192, 12768, 12357, 11959, 11574, 11201, 10841, 10492, 10154, 9828,
9511, 9205, 8909, 8622, 8345, 8076, 7816, 7565, 7321, 7085, 6857, 6637, 6423, 6216, 6016, 5823, 5635, 5454, 5278, 5108, 4944, 4785,
4631, 4482, 4337, 4198, 4063, 3932, 3805, 3683, 3564, 3450, 3339, 3231, 3127, 3026, 2929, 2835, 2744, 2655, 2570, 2487, 2407, 2329,
2255, 2182, 2112, 2044, 1978, 1914, 1853, 1793, 1735, 1679, 1625, 1573, 1522, 1473, 1426, 1380, 1336, 1293, 1251, 1211, 1172, 1134,
1097, 1062, 1028, 995, 963, 932, 902, 873, 845, 817, 791, 766, 741, 717, 694, 672, 650, 629, 609, 589, 570, 552, 534, 517, 500, 484,
469, 453, 439, 425, 411, 398, 385, 373, 361, 349, 338, 327, 316, 306, 296, 287, 277, 268, 260, 251, 243, 235, 228, 221, 213, 207,
200, 193, 187, 181, 175, 170, 164, 159, 154, 149, 144, 139, 135, 130, 126, 122, 118, 114, 111, 107, 104, 100, 97, 94};
short idx = clamp(netDefense * 4 / 10 / FP_FACTOR + 80, 0, LAST_INDEX(POW_DEFENSE_FRACTION));
return POW_DEFENSE_FRACTION[idx];
}
short charmEffectDuration(short charmKind, short enchant) {
const fixpt POW_0_CHARM_INCREMENT[] = { // 1.0
65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536,
65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536,
65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536, 65536};
const fixpt POW_120_CHARM_INCREMENT[] = { // 1.20^x fixed point, with x from 1 to 50 in increments of 1:
78643, 94371, 113246, 135895, 163074, 195689, 234827, 281792, 338151, 405781, 486937, 584325, 701190, 841428, 1009714, 1211657,
1453988, 1744786, 2093744, 2512492, 3014991, 3617989, 4341587, 5209905, 6251886, 7502263, 9002716, 10803259, 12963911, 15556694,
18668032, 22401639, 26881967, 32258360, 38710033, 46452039, 55742447, 66890937, 80269124, 96322949, 115587539, 138705047, 166446056,
199735268, 239682321, 287618785, 345142543, 414171051, 497005262, 596406314, 715687577};
const fixpt POW_125_CHARM_INCREMENT[] = { // 1.25^x fixed point, with x from 1 to 50 in increments of 1:
81920, 102400, 128000, 160000, 200000, 250000, 312500, 390625, 488281, 610351, 762939, 953674, 1192092, 1490116, 1862645, 2328306,
2910383, 3637978, 4547473, 5684341, 7105427, 8881784, 11102230, 13877787, 17347234, 21684043, 27105054, 33881317, 42351647, 52939559,
66174449, 82718061, 103397576, 129246970, 161558713, 201948391, 252435489, 315544362, 394430452, 493038065, 616297582, 770371977,
962964972, 1203706215, 1504632769, 1880790961, 2350988701, 2938735877, 3673419846, 4591774807, 5739718509};
const short duration[NUMBER_CHARM_KINDS] = {
3, // Health
20, // Protection
7, // Haste
10, // Fire immunity
5, // Invisibility
25, // Telepathy
10, // Levitation
0, // Shattering
18, // Guardian
0, // Teleportation
0, // Recharging
0, // Negation
};
const fixpt *increment[NUMBER_CHARM_KINDS] = {
POW_0_CHARM_INCREMENT, // Health
POW_0_CHARM_INCREMENT, // Protection
POW_120_CHARM_INCREMENT, // Haste
POW_125_CHARM_INCREMENT, // Fire immunity
POW_120_CHARM_INCREMENT, // Invisibility
POW_125_CHARM_INCREMENT, // Telepathy
POW_125_CHARM_INCREMENT, // Levitation
POW_0_CHARM_INCREMENT, // Shattering
POW_0_CHARM_INCREMENT, // Guardian
POW_0_CHARM_INCREMENT, // Teleportation
POW_0_CHARM_INCREMENT, // Recharging
POW_0_CHARM_INCREMENT, // Negation
};
short idx = clamp(enchant - 1, 0, LAST_INDEX(POW_125_CHARM_INCREMENT));
return duration[charmKind] * increment[charmKind][idx] / FP_FACTOR;
}
short charmRechargeDelay(short charmKind, short enchant) {
const short duration[NUMBER_CHARM_KINDS] = {
2500, // Health
1000, // Protection
800, // Haste
800, // Fire immunity
800, // Invisibility
800, // Telepathy
800, // Levitation
2500, // Shattering
700, // Guardian
920, // Teleportation
10000, // Recharging
2500, // Negation
};
const fixpt base[NUMBER_CHARM_KINDS] = {
FP_FACTOR * 55 / 100, // Health
FP_FACTOR * 60 / 100, // Protection
FP_FACTOR * 65 / 100, // Haste
FP_FACTOR * 60 / 100, // Fire immunity
FP_FACTOR * 65 / 100, // Invisibility
FP_FACTOR * 65 / 100, // Telepathy
FP_FACTOR * 65 / 100, // Levitation
FP_FACTOR * 60 / 100, // Shattering
FP_FACTOR * 70 / 100, // Guardian
FP_FACTOR * 60 / 100, // Teleportation
FP_FACTOR * 55 / 100, // Recharging
FP_FACTOR * 60 / 100, // Negation
};
enchant = clamp(enchant, 1, 50);
short delay = charmEffectDuration(charmKind, enchant)
+ (duration[charmKind] * fp_pow(base[charmKind], enchant) / FP_FACTOR);
return max(1, delay);
}
short runicWeaponChance(item *theItem, boolean customEnchantLevel, fixpt enchantLevel) {
const fixpt POW_16_RUNIC_DECREMENT[] = { // (1-0.16)^x fixed point, with x from 0 to 50 in increments of 0.25:
65536, 62740, 60064, 57502, 55050, 52702, 50454, 48302, 46242, 44269, 42381, 40574, 38843, 37186, 35600, 34082, 32628, 31236, 29904,
28629, 27407, 26238, 25119, 24048, 23022, 22040, 21100, 20200, 19339, 18514, 17724, 16968, 16244, 15551, 14888, 14253, 13645, 13063,
12506, 11972, 11462, 10973, 10505, 10057, 9628, 9217, 8824, 8448, 8087, 7742, 7412, 7096, 6793, 6503, 6226, 5961, 5706, 5463, 5230,
5007, 4793, 4589, 4393, 4206, 4026, 3854, 3690, 3533, 3382, 3238, 3100, 2967, 2841, 2720, 2604, 2492, 2386, 2284, 2187, 2094, 2004,
1919, 1837, 1759, 1684, 1612, 1543, 1477, 1414, 1354, 1296, 1241, 1188, 1137, 1089, 1042, 998, 955, 914, 875, 838, 802, 768, 735,
704, 674, 645, 617, 591, 566, 542, 519, 496, 475, 455, 436, 417, 399, 382, 366, 350, 335, 321, 307, 294, 281, 269, 258, 247, 236,
226, 217, 207, 198, 190, 182, 174, 167, 159, 153, 146, 140, 134, 128, 123, 117, 112, 108, 103, 99, 94, 90, 86, 83, 79, 76, 73, 69,
66, 64, 61, 58, 56, 53, 51, 49, 47, 45, 43, 41, 39, 37, 36, 34, 33, 31, 30, 29, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 18, 17, 16,
15, 15, 14, 13, 13, 12, 12, 11, 11, 10};
const fixpt POW_15_RUNIC_DECREMENT[] = { // (1-0.15)^x fixed point, with x from 0 to 50 in increments of 0.25:
65536, 62926, 60421, 58015, 55705, 53487, 51358, 49313, 47349, 45464, 43654, 41916, 40247, 38644, 37106, 35628, 34210, 32848, 31540,
30284, 29078, 27920, 26809, 25741, 24716, 23732, 22787, 21880, 21009, 20172, 19369, 18598, 17857, 17146, 16464, 15808, 15179, 14574,
13994, 13437, 12902, 12388, 11895, 11421, 10967, 10530, 10111, 9708, 9321, 8950, 8594, 8252, 7923, 7608, 7305, 7014, 6735, 6466, 6209,
5962, 5724, 5496, 5278, 5067, 4866, 4672, 4486, 4307, 4136, 3971, 3813, 3661, 3515, 3375, 3241, 3112, 2988, 2869, 2755, 2645, 2540,
2439, 2341, 2248, 2159, 2073, 1990, 1911, 1835, 1762, 1692, 1624, 1559, 1497, 1438, 1380, 1325, 1273, 1222, 1173, 1127, 1082, 1039,
997, 958, 919, 883, 848, 814, 781, 750, 720, 692, 664, 638, 612, 588, 564, 542, 520, 500, 480, 461, 442, 425, 408, 391, 376, 361, 346,
333, 319, 307, 294, 283, 271, 261, 250, 240, 231, 221, 213, 204, 196, 188, 181, 173, 166, 160, 153, 147, 141, 136, 130, 125, 120, 115,
111, 106, 102, 98, 94, 90, 87, 83, 80, 77, 74, 71, 68, 65, 62, 60, 58, 55, 53, 51, 49, 47, 45, 43, 41, 40, 38, 37, 35, 34, 32, 31, 30,
29, 27, 26, 25, 24, 23, 22, 21, 21, 20, 19};
const fixpt POW_14_RUNIC_DECREMENT[] = { // (1-0.14)^x fixed point, with x from 0 to 50 in increments of 0.25:
65536, 63110, 60775, 58526, 56360, 54275, 52267, 50332, 48470, 46676, 44949, 43286, 41684, 40142, 38656, 37226, 35848, 34522, 33244,
32014, 30829, 29689, 28590, 27532, 26513, 25532, 24587, 23677, 22801, 21958, 21145, 20363, 19609, 18883, 18185, 17512, 16864, 16240,
15639, 15060, 14503, 13966, 13449, 12952, 12472, 12011, 11566, 11138, 10726, 10329, 9947, 9579, 9224, 8883, 8554, 8238, 7933, 7639,
7357, 7084, 6822, 6570, 6327, 6092, 5867, 5650, 5441, 5239, 5046, 4859, 4679, 4506, 4339, 4179, 4024, 3875, 3732, 3593, 3460, 3332,
3209, 3090, 2976, 2866, 2760, 2658, 2559, 2465, 2373, 2285, 2201, 2119, 2041, 1965, 1893, 1823, 1755, 1690, 1628, 1567, 1509, 1454,
1400, 1348, 1298, 1250, 1204, 1159, 1116, 1075, 1035, 997, 960, 924, 890, 857, 825, 795, 765, 737, 710, 684, 658, 634, 610, 588, 566,
545, 525, 505, 487, 469, 451, 435, 418, 403, 388, 374, 360, 346, 334, 321, 309, 298, 287, 276, 266, 256, 247, 237, 229, 220, 212, 204,
197, 189, 182, 176, 169, 163, 157, 151, 145, 140, 135, 130, 125, 120, 116, 111, 107, 103, 99, 96, 92, 89, 85, 82, 79, 76, 73, 71, 68,
66, 63, 61, 58, 56, 54, 52, 50, 48, 47, 45, 43, 42, 40, 38, 37, 36, 34};
const fixpt POW_11_RUNIC_DECREMENT[] = { // (1-0.11)^x fixed point, with x from 0 to 50 in increments of 0.25:
65536, 63654, 61826, 60051, 58327, 56652, 55025, 53445, 51911, 50420, 48972, 47566, 46200, 44874, 43585, 42334, 41118, 39938, 38791,
37677, 36595, 35544, 34524, 33533, 32570, 31634, 30726, 29844, 28987, 28155, 27346, 26561, 25798, 25058, 24338, 23639, 22960, 22301,
21661, 21039, 20435, 19848, 19278, 18725, 18187, 17665, 17157, 16665, 16186, 15721, 15270, 14832, 14406, 13992, 13590, 13200, 12821,
12453, 12095, 11748, 11411, 11083, 10765, 10456, 10155, 9864, 9581, 9305, 9038, 8779, 8527, 8282, 8044, 7813, 7589, 7371, 7159, 6954,
6754, 6560, 6372, 6189, 6011, 5838, 5671, 5508, 5350, 5196, 5047, 4902, 4761, 4624, 4492, 4363, 4237, 4116, 3997, 3883, 3771, 3663,
3558, 3456, 3356, 3260, 3166, 3075, 2987, 2901, 2818, 2737, 2658, 2582, 2508, 2436, 2366, 2298, 2232, 2168, 2106, 2045, 1986, 1929,
1874, 1820, 1768, 1717, 1668, 1620, 1573, 1528, 1484, 1442, 1400, 1360, 1321, 1283, 1246, 1210, 1176, 1142, 1109, 1077, 1046, 1016,
987, 959, 931, 904, 878, 853, 829, 805, 782, 759, 737, 716, 696, 676, 656, 637, 619, 601, 584, 567, 551, 535, 520, 505, 490, 476, 462,
449, 436, 424, 412, 400, 388, 377, 366, 356, 345, 336, 326, 317, 307, 299, 290, 282, 274, 266, 258, 251, 243, 236, 230, 223, 217, 210,
204, 198, 193};
const fixpt POW_7_RUNIC_DECREMENT[] = { // (1-0.07)^x fixed point, with x from 0 to 50 in increments of 0.25:
65536, 64357, 63200, 62064, 60948, 59852, 58776, 57719, 56682, 55662, 54662, 53679, 52714, 51766, 50835, 49921, 49024, 48142, 47277,
46427, 45592, 44772, 43967, 43177, 42401, 41638, 40890, 40155, 39433, 38724, 38027, 37344, 36672, 36013, 35365, 34730, 34105, 33492,
32890, 32298, 31718, 31147, 30587, 30038, 29497, 28967, 28446, 27935, 27433, 26939, 26455, 25979, 25512, 25054, 24603, 24161, 23726,
23300, 22881, 22470, 22066, 21669, 21279, 20897, 20521, 20152, 19790, 19434, 19084, 18741, 18404, 18073, 17748, 17429, 17116, 16808,
16506, 16209, 15918, 15632, 15351, 15075, 14804, 14537, 14276, 14019, 13767, 13520, 13277, 13038, 12804, 12573, 12347, 12125, 11907,
11693, 11483, 11276, 11074, 10875, 10679, 10487, 10299, 10113, 9931, 9753, 9578, 9405, 9236, 9070, 8907, 8747, 8590, 8435, 8284, 8135,
7988, 7845, 7704, 7565, 7429, 7296, 7164, 7036, 6909, 6785, 6663, 6543, 6425, 6310, 6196, 6085, 5976, 5868, 5763, 5659, 5557, 5457,
5359, 5263, 5168, 5075, 4984, 4894, 4806, 4720, 4635, 4552, 4470, 4390, 4311, 4233, 4157, 4082, 4009, 3937, 3866, 3796, 3728, 3661,
3595, 3531, 3467, 3405, 3344, 3283, 3224, 3166, 3110, 3054, 2999, 2945, 2892, 2840, 2789, 2739, 2689, 2641, 2594, 2547, 2501, 2456,
2412, 2369, 2326, 2284, 2243, 2203, 2163, 2124, 2086, 2048, 2012, 1975, 1940, 1905, 1871, 1837, 1804, 1772, 1740};
const fixpt POW_6_RUNIC_DECREMENT[] = { // (1-0.06)^x fixed point, with x from 0 to 50 in increments of 0.25:
65536, 64530, 63539, 62564, 61603, 60658, 59727, 58810, 57907, 57018, 56143, 55281, 54433, 53597, 52774, 51964, 51167, 50381, 49608,
48846, 48097, 47358, 46631, 45916, 45211, 44517, 43833, 43161, 42498, 41846, 41203, 40571, 39948, 39335, 38731, 38137, 37551, 36975,
36407, 35848, 35298, 34756, 34223, 33698, 33180, 32671, 32169, 31676, 31189, 30711, 30239, 29775, 29318, 28868, 28425, 27989, 27559,
27136, 26719, 26309, 25905, 25508, 25116, 24731, 24351, 23977, 23609, 23247, 22890, 22539, 22193, 21852, 21516, 21186, 20861, 20541,
20225, 19915, 19609, 19308, 19012, 18720, 18433, 18150, 17871, 17597, 17327, 17061, 16799, 16541, 16287, 16037, 15791, 15549, 15310,
15075, 14843, 14616, 14391, 14170, 13953, 13739, 13528, 13320, 13116, 12914, 12716, 12521, 12329, 12139, 11953, 11770, 11589, 11411,
11236, 11063, 10894, 10726, 10562, 10400, 10240, 10083, 9928, 9776, 9625, 9478, 9332, 9189, 9048, 8909, 8772, 8638, 8505, 8374, 8246,
8119, 7995, 7872, 7751, 7632, 7515, 7400, 7286, 7174, 7064, 6956, 6849, 6744, 6640, 6538, 6438, 6339, 6242, 6146, 6052, 5959, 5867,
5777, 5688, 5601, 5515, 5430, 5347, 5265, 5184, 5105, 5026, 4949, 4873, 4798, 4725, 4652, 4581, 4510, 4441, 4373, 4306, 4240, 4175,
4111, 4047, 3985, 3924, 3864, 3805, 3746, 3689, 3632, 3576, 3521, 3467, 3414, 3362, 3310, 3259, 3209, 3160, 3111, 3064, 3017, 2970};
const fixpt *effectChances[NUMBER_WEAPON_RUNIC_KINDS] = {
POW_16_RUNIC_DECREMENT, // W_SPEED
POW_6_RUNIC_DECREMENT, // W_QUIETUS
POW_7_RUNIC_DECREMENT, // W_PARALYSIS
POW_15_RUNIC_DECREMENT, // W_MULTIPLICITY
POW_14_RUNIC_DECREMENT, // W_SLOWING
POW_11_RUNIC_DECREMENT, // W_CONFUSION
POW_15_RUNIC_DECREMENT, // W_FORCE
0, // W_SLAYING
0, // W_MERCY
0}; // W_PLENTY
fixpt modifier;
short runicType = theItem->enchant2;
short chance, adjustedBaseDamage, tableIndex;
if (runicType == W_SLAYING) {
return 0;
}
if (runicType >= NUMBER_GOOD_WEAPON_ENCHANT_KINDS) { // bad runic
return 15;
}
if (!customEnchantLevel) {
enchantLevel = netEnchant(theItem);
}
// Innately high-damage weapon types are less likely to trigger runic effects.
adjustedBaseDamage = (tableForItemCategory(theItem->category, NULL)[theItem->kind].range.lowerBound
+ tableForItemCategory(theItem->category, NULL)[theItem->kind].range.upperBound) / 2;
if (theItem->flags & ITEM_ATTACKS_STAGGER) {
adjustedBaseDamage /= 2; // Normalize as though they attacked once per turn instead of every other turn.
}
// if (theItem->flags & ITEM_ATTACKS_QUICKLY) {
// adjustedBaseDamage *= 2; // Normalize as though they attacked once per turn instead of twice per turn.
// } // Testing disabling this for balance reasons...
modifier = FP_FACTOR - min((99 * FP_FACTOR)/100, (adjustedBaseDamage * FP_FACTOR) / 18);
if (enchantLevel < 0) {
chance = 0;
} else {
tableIndex = enchantLevel * modifier * 4 / FP_FACTOR / FP_FACTOR;
tableIndex = clamp(tableIndex, 0, LAST_INDEX(POW_16_RUNIC_DECREMENT));
chance = 100 - (short) (100LL * effectChances[runicType][tableIndex] / FP_FACTOR); // good runic
}
// Slow weapons get an adjusted chance of 1 - (1-p)^2 to reflect two bites at the apple instead of one.
if (theItem->flags & ITEM_ATTACKS_STAGGER) {
chance = 100 - (100 - chance) * (100 - chance) / 100;
}
// Fast weapons get an adjusted chance of 1 - sqrt(1-p) to reflect one bite at the apple instead of two.
if (theItem->flags & ITEM_ATTACKS_QUICKLY) {
chance = 100 * (FP_FACTOR - fp_sqrt(FP_FACTOR - (chance * FP_FACTOR)/100)) / FP_FACTOR;
}
// The lowest percent change that a weapon will ever have is its enchantment level (if greater than 0).
// That is so that even really heavy weapons will improve at least 1% per enchantment.
chance = clamp(chance, max(1, (short) (enchantLevel / FP_FACTOR)), 100);
return chance;
}
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