Source code for pink_doom.misc.tables

"""Lookup tables."""
from pink_doom.misc.fixed import FRAC_BITS

FINE_ANGLES = 8192
FINE_MASK = FINE_ANGLES - 1

ANGLE_TO_FINE_SHIFT = 19
"""``0x100000000`` to ``0x2000``"""

# Binary Angle Measurement, BAM.
ANG45 = 0x20000000
ANG90 = 0x40000000
ANG180 = 0x80000000
ANG270 = 0xC0000000

SLOPE_RANGE = 2048
SLOPE_BITS = 11
DBITS = FRAC_BITS - SLOPE_BITS

fine_sine = (
    25,
    75,
    125,
    175,
    226,
    276,
    326,
    376,
    427,
    477,
    527,
    578,
    628,
    678,
    728,
    779,
    829,
    879,
    929,
    980,
    1030,
    1080,
    1130,
    1181,
    1231,
    1281,
    1331,
    1382,
    1432,
    1482,
    1532,
    1583,
    1633,
    1683,
    1733,
    1784,
    1834,
    1884,
    1934,
    1985,
    2035,
    2085,
    2135,
    2186,
    2236,
    2286,
    2336,
    2387,
    2437,
    2487,
    2537,
    2587,
    2638,
    2688,
    2738,
    2788,
    2839,
    2889,
    2939,
    2989,
    3039,
    3090,
    3140,
    3190,
    3240,
    3291,
    3341,
    3391,
    3441,
    3491,
    3541,
    3592,
    3642,
    3692,
    3742,
    3792,
    3843,
    3893,
    3943,
    3993,
    4043,
    4093,
    4144,
    4194,
    4244,
    4294,
    4344,
    4394,
    4445,
    4495,
    4545,
    4595,
    4645,
    4695,
    4745,
    4796,
    4846,
    4896,
    4946,
    4996,
    5046,
    5096,
    5146,
    5197,
    5247,
    5297,
    5347,
    5397,
    5447,
    5497,
    5547,
    5597,
    5647,
    5697,
    5748,
    5798,
    5848,
    5898,
    5948,
    5998,
    6048,
    6098,
    6148,
    6198,
    6248,
    6298,
    6348,
    6398,
    6448,
    6498,
    6548,
    6598,
    6648,
    6698,
    6748,
    6798,
    6848,
    6898,
    6948,
    6998,
    7048,
    7098,
    7148,
    7198,
    7248,
    7298,
    7348,
    7398,
    7448,
    7498,
    7548,
    7598,
    7648,
    7697,
    7747,
    7797,
    7847,
    7897,
    7947,
    7997,
    8047,
    8097,
    8147,
    8196,
    8246,
    8296,
    8346,
    8396,
    8446,
    8496,
    8545,
    8595,
    8645,
    8695,
    8745,
    8794,
    8844,
    8894,
    8944,
    8994,
    9043,
    9093,
    9143,
    9193,
    9243,
    9292,
    9342,
    9392,
    9442,
    9491,
    9541,
    9591,
    9640,
    9690,
    9740,
    9790,
    9839,
    9889,
    9939,
    9988,
    10038,
    10088,
    10137,
    10187,
    10237,
    10286,
    10336,
    10386,
    10435,
    10485,
    10534,
    10584,
    10634,
    10683,
    10733,
    10782,
    10832,
    10882,
    10931,
    10981,
    11030,
    11080,
    11129,
    11179,
    11228,
    11278,
    11327,
    11377,
    11426,
    11476,
    11525,
    11575,
    11624,
    11674,
    11723,
    11773,
    11822,
    11872,
    11921,
    11970,
    12020,
    12069,
    12119,
    12168,
    12218,
    12267,
    12316,
    12366,
    12415,
    12464,
    12514,
    12563,
    12612,
    12662,
    12711,
    12760,
    12810,
    12859,
    12908,
    12957,
    13007,
    13056,
    13105,
    13154,
    13204,
    13253,
    13302,
    13351,
    13401,
    13450,
    13499,
    13548,
    13597,
    13647,
    13696,
    13745,
    13794,
    13843,
    13892,
    13941,
    13990,
    14040,
    14089,
    14138,
    14187,
    14236,
    14285,
    14334,
    14383,
    14432,
    14481,
    14530,
    14579,
    14628,
    14677,
    14726,
    14775,
    14824,
    14873,
    14922,
    14971,
    15020,
    15069,
    15118,
    15167,
    15215,
    15264,
    15313,
    15362,
    15411,
    15460,
    15509,
    15557,
    15606,
    15655,
    15704,
    15753,
    15802,
    15850,
    15899,
    15948,
    15997,
    16045,
    16094,
    16143,
    16191,
    16240,
    16289,
    16338,
    16386,
    16435,
    16484,
    16532,
    16581,
    16629,
    16678,
    16727,
    16775,
    16824,
    16872,
    16921,
    16970,
    17018,
    17067,
    17115,
    17164,
    17212,
    17261,
    17309,
    17358,
    17406,
    17455,
    17503,
    17551,
    17600,
    17648,
    17697,
    17745,
    17793,
    17842,
    17890,
    17939,
    17987,
    18035,
    18084,
    18132,
    18180,
    18228,
    18277,
    18325,
    18373,
    18421,
    18470,
    18518,
    18566,
    18614,
    18663,
    18711,
    18759,
    18807,
    18855,
    18903,
    18951,
    19000,
    19048,
    19096,
    19144,
    19192,
    19240,
    19288,
    19336,
    19384,
    19432,
    19480,
    19528,
    19576,
    19624,
    19672,
    19720,
    19768,
    19816,
    19864,
    19912,
    19959,
    20007,
    20055,
    20103,
    20151,
    20199,
    20246,
    20294,
    20342,
    20390,
    20438,
    20485,
    20533,
    20581,
    20629,
    20676,
    20724,
    20772,
    20819,
    20867,
    20915,
    20962,
    21010,
    21057,
    21105,
    21153,
    21200,
    21248,
    21295,
    21343,
    21390,
    21438,
    21485,
    21533,
    21580,
    21628,
    21675,
    21723,
    21770,
    21817,
    21865,
    21912,
    21960,
    22007,
    22054,
    22102,
    22149,
    22196,
    22243,
    22291,
    22338,
    22385,
    22433,
    22480,
    22527,
    22574,
    22621,
    22668,
    22716,
    22763,
    22810,
    22857,
    22904,
    22951,
    22998,
    23045,
    23092,
    23139,
    23186,
    23233,
    23280,
    23327,
    23374,
    23421,
    23468,
    23515,
    23562,
    23609,
    23656,
    23703,
    23750,
    23796,
    23843,
    23890,
    23937,
    23984,
    24030,
    24077,
    24124,
    24171,
    24217,
    24264,
    24311,
    24357,
    24404,
    24451,
    24497,
    24544,
    24591,
    24637,
    24684,
    24730,
    24777,
    24823,
    24870,
    24916,
    24963,
    25009,
    25056,
    25102,
    25149,
    25195,
    25241,
    25288,
    25334,
    25381,
    25427,
    25473,
    25520,
    25566,
    25612,
    25658,
    25705,
    25751,
    25797,
    25843,
    25889,
    25936,
    25982,
    26028,
    26074,
    26120,
    26166,
    26212,
    26258,
    26304,
    26350,
    26396,
    26442,
    26488,
    26534,
    26580,
    26626,
    26672,
    26718,
    26764,
    26810,
    26856,
    26902,
    26947,
    26993,
    27039,
    27085,
    27131,
    27176,
    27222,
    27268,
    27313,
    27359,
    27405,
    27450,
    27496,
    27542,
    27587,
    27633,
    27678,
    27724,
    27770,
    27815,
    27861,
    27906,
    27952,
    27997,
    28042,
    28088,
    28133,
    28179,
    28224,
    28269,
    28315,
    28360,
    28405,
    28451,
    28496,
    28541,
    28586,
    28632,
    28677,
    28722,
    28767,
    28812,
    28858,
    28903,
    28948,
    28993,
    29038,
    29083,
    29128,
    29173,
    29218,
    29263,
    29308,
    29353,
    29398,
    29443,
    29488,
    29533,
    29577,
    29622,
    29667,
    29712,
    29757,
    29801,
    29846,
    29891,
    29936,
    29980,
    30025,
    30070,
    30114,
    30159,
    30204,
    30248,
    30293,
    30337,
    30382,
    30426,
    30471,
    30515,
    30560,
    30604,
    30649,
    30693,
    30738,
    30782,
    30826,
    30871,
    30915,
    30959,
    31004,
    31048,
    31092,
    31136,
    31181,
    31225,
    31269,
    31313,
    31357,
    31402,
    31446,
    31490,
    31534,
    31578,
    31622,
    31666,
    31710,
    31754,
    31798,
    31842,
    31886,
    31930,
    31974,
    32017,
    32061,
    32105,
    32149,
    32193,
    32236,
    32280,
    32324,
    32368,
    32411,
    32455,
    32499,
    32542,
    32586,
    32630,
    32673,
    32717,
    32760,
    32804,
    32847,
    32891,
    32934,
    32978,
    33021,
    33065,
    33108,
    33151,
    33195,
    33238,
    33281,
    33325,
    33368,
    33411,
    33454,
    33498,
    33541,
    33584,
    33627,
    33670,
    33713,
    33756,
    33799,
    33843,
    33886,
    33929,
    33972,
    34015,
    34057,
    34100,
    34143,
    34186,
    34229,
    34272,
    34315,
    34358,
    34400,
    34443,
    34486,
    34529,
    34571,
    34614,
    34657,
    34699,
    34742,
    34785,
    34827,
    34870,
    34912,
    34955,
    34997,
    35040,
    35082,
    35125,
    35167,
    35210,
    35252,
    35294,
    35337,
    35379,
    35421,
    35464,
    35506,
    35548,
    35590,
    35633,
    35675,
    35717,
    35759,
    35801,
    35843,
    35885,
    35927,
    35969,
    36011,
    36053,
    36095,
    36137,
    36179,
    36221,
    36263,
    36305,
    36347,
    36388,
    36430,
    36472,
    36514,
    36555,
    36597,
    36639,
    36681,
    36722,
    36764,
    36805,
    36847,
    36889,
    36930,
    36972,
    37013,
    37055,
    37096,
    37137,
    37179,
    37220,
    37262,
    37303,
    37344,
    37386,
    37427,
    37468,
    37509,
    37551,
    37592,
    37633,
    37674,
    37715,
    37756,
    37797,
    37838,
    37879,
    37920,
    37961,
    38002,
    38043,
    38084,
    38125,
    38166,
    38207,
    38248,
    38288,
    38329,
    38370,
    38411,
    38451,
    38492,
    38533,
    38573,
    38614,
    38655,
    38695,
    38736,
    38776,
    38817,
    38857,
    38898,
    38938,
    38979,
    39019,
    39059,
    39100,
    39140,
    39180,
    39221,
    39261,
    39301,
    39341,
    39382,
    39422,
    39462,
    39502,
    39542,
    39582,
    39622,
    39662,
    39702,
    39742,
    39782,
    39822,
    39862,
    39902,
    39942,
    39982,
    40021,
    40061,
    40101,
    40141,
    40180,
    40220,
    40260,
    40300,
    40339,
    40379,
    40418,
    40458,
    40497,
    40537,
    40576,
    40616,
    40655,
    40695,
    40734,
    40773,
    40813,
    40852,
    40891,
    40931,
    40970,
    41009,
    41048,
    41087,
    41127,
    41166,
    41205,
    41244,
    41283,
    41322,
    41361,
    41400,
    41439,
    41478,
    41517,
    41556,
    41595,
    41633,
    41672,
    41711,
    41750,
    41788,
    41827,
    41866,
    41904,
    41943,
    41982,
    42020,
    42059,
    42097,
    42136,
    42174,
    42213,
    42251,
    42290,
    42328,
    42366,
    42405,
    42443,
    42481,
    42520,
    42558,
    42596,
    42634,
    42672,
    42711,
    42749,
    42787,
    42825,
    42863,
    42901,
    42939,
    42977,
    43015,
    43053,
    43091,
    43128,
    43166,
    43204,
    43242,
    43280,
    43317,
    43355,
    43393,
    43430,
    43468,
    43506,
    43543,
    43581,
    43618,
    43656,
    43693,
    43731,
    43768,
    43806,
    43843,
    43880,
    43918,
    43955,
    43992,
    44029,
    44067,
    44104,
    44141,
    44178,
    44215,
    44252,
    44289,
    44326,
    44363,
    44400,
    44437,
    44474,
    44511,
    44548,
    44585,
    44622,
    44659,
    44695,
    44732,
    44769,
    44806,
    44842,
    44879,
    44915,
    44952,
    44989,
    45025,
    45062,
    45098,
    45135,
    45171,
    45207,
    45244,
    45280,
    45316,
    45353,
    45389,
    45425,
    45462,
    45498,
    45534,
    45570,
    45606,
    45642,
    45678,
    45714,
    45750,
    45786,
    45822,
    45858,
    45894,
    45930,
    45966,
    46002,
    46037,
    46073,
    46109,
    46145,
    46180,
    46216,
    46252,
    46287,
    46323,
    46358,
    46394,
    46429,
    46465,
    46500,
    46536,
    46571,
    46606,
    46642,
    46677,
    46712,
    46747,
    46783,
    46818,
    46853,
    46888,
    46923,
    46958,
    46993,
    47028,
    47063,
    47098,
    47133,
    47168,
    47203,
    47238,
    47273,
    47308,
    47342,
    47377,
    47412,
    47446,
    47481,
    47516,
    47550,
    47585,
    47619,
    47654,
    47688,
    47723,
    47757,
    47792,
    47826,
    47860,
    47895,
    47929,
    47963,
    47998,
    48032,
    48066,
    48100,
    48134,
    48168,
    48202,
    48237,
    48271,
    48305,
    48338,
    48372,
    48406,
    48440,
    48474,
    48508,
    48542,
    48575,
    48609,
    48643,
    48676,
    48710,
    48744,
    48777,
    48811,
    48844,
    48878,
    48911,
    48945,
    48978,
    49012,
    49045,
    49078,
    49112,
    49145,
    49178,
    49211,
    49244,
    49278,
    49311,
    49344,
    49377,
    49410,
    49443,
    49476,
    49509,
    49542,
    49575,
    49608,
    49640,
    49673,
    49706,
    49739,
    49771,
    49804,
    49837,
    49869,
    49902,
    49935,
    49967,
    50000,
    50032,
    50065,
    50097,
    50129,
    50162,
    50194,
    50226,
    50259,
    50291,
    50323,
    50355,
    50387,
    50420,
    50452,
    50484,
    50516,
    50548,
    50580,
    50612,
    50644,
    50675,
    50707,
    50739,
    50771,
    50803,
    50834,
    50866,
    50898,
    50929,
    50961,
    50993,
    51024,
    51056,
    51087,
    51119,
    51150,
    51182,
    51213,
    51244,
    51276,
    51307,
    51338,
    51369,
    51401,
    51432,
    51463,
    51494,
    51525,
    51556,
    51587,
    51618,
    51649,
    51680,
    51711,
    51742,
    51773,
    51803,
    51834,
    51865,
    51896,
    51926,
    51957,
    51988,
    52018,
    52049,
    52079,
    52110,
    52140,
    52171,
    52201,
    52231,
    52262,
    52292,
    52322,
    52353,
    52383,
    52413,
    52443,
    52473,
    52503,
    52534,
    52564,
    52594,
    52624,
    52653,
    52683,
    52713,
    52743,
    52773,
    52803,
    52832,
    52862,
    52892,
    52922,
    52951,
    52981,
    53010,
    53040,
    53069,
    53099,
    53128,
    53158,
    53187,
    53216,
    53246,
    53275,
    53304,
    53334,
    53363,
    53392,
    53421,
    53450,
    53479,
    53508,
    53537,
    53566,
    53595,
    53624,
    53653,
    53682,
    53711,
    53739,
    53768,
    53797,
    53826,
    53854,
    53883,
    53911,
    53940,
    53969,
    53997,
    54026,
    54054,
    54082,
    54111,
    54139,
    54167,
    54196,
    54224,
    54252,
    54280,
    54308,
    54337,
    54365,
    54393,
    54421,
    54449,
    54477,
    54505,
    54533,
    54560,
    54588,
    54616,
    54644,
    54672,
    54699,
    54727,
    54755,
    54782,
    54810,
    54837,
    54865,
    54892,
    54920,
    54947,
    54974,
    55002,
    55029,
    55056,
    55084,
    55111,
    55138,
    55165,
    55192,
    55219,
    55246,
    55274,
    55300,
    55327,
    55354,
    55381,
    55408,
    55435,
    55462,
    55489,
    55515,
    55542,
    55569,
    55595,
    55622,
    55648,
    55675,
    55701,
    55728,
    55754,
    55781,
    55807,
    55833,
    55860,
    55886,
    55912,
    55938,
    55965,
    55991,
    56017,
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    65478,
    65480,
    65482,
    65484,
    65486,
    65488,
    65490,
    65492,
    65494,
    65496,
    65497,
    65499,
    65501,
    65502,
    65504,
    65505,
    65507,
    65508,
    65510,
    65511,
    65513,
    65514,
    65515,
    65516,
    65518,
    65519,
    65520,
    65521,
    65522,
    65523,
    65524,
    65525,
    65526,
    65527,
    65527,
    65528,
    65529,
    65530,
    65530,
    65531,
    65531,
    65532,
    65532,
    65533,
    65533,
    65534,
    65534,
    65534,
    65535,
    65535,
    65535,
    65535,
    65535,
    65535,
    65535,
)
"""
Sine lookup.

Guess what, serves as cosine, too.
Remarkable thing is, how to use BAMs with this?

:meta hide-value:
"""

fine_tangent = (
    -170910304,
    -56965752,
    -34178904,
    -24413316,
    -18988036,
    -15535599,
    -13145455,
    -11392683,
    -10052327,
    -8994149,
    -8137527,
    -7429880,
    -6835455,
    -6329090,
    -5892567,
    -5512368,
    -5178251,
    -4882318,
    -4618375,
    -4381502,
    -4167737,
    -3973855,
    -3797206,
    -3635590,
    -3487165,
    -3350381,
    -3223918,
    -3106651,
    -2997613,
    -2895966,
    -2800983,
    -2712030,
    -2628549,
    -2550052,
    -2476104,
    -2406322,
    -2340362,
    -2277919,
    -2218719,
    -2162516,
    -2109087,
    -2058233,
    -2009771,
    -1963536,
    -1919378,
    -1877161,
    -1836758,
    -1798063,
    -1760956,
    -1725348,
    -1691149,
    -1658278,
    -1626658,
    -1596220,
    -1566898,
    -1538632,
    -1511367,
    -1485049,
    -1459630,
    -1435065,
    -1411312,
    -1388330,
    -1366084,
    -1344537,
    -1323658,
    -1303416,
    -1283783,
    -1264730,
    -1246234,
    -1228269,
    -1210813,
    -1193846,
    -1177345,
    -1161294,
    -1145673,
    -1130465,
    -1115654,
    -1101225,
    -1087164,
    -1073455,
    -1060087,
    -1047046,
    -1034322,
    -1021901,
    -1009774,
    -997931,
    -986361,
    -975054,
    -964003,
    -953199,
    -942633,
    -932298,
    -922186,
    -912289,
    -902602,
    -893117,
    -883829,
    -874730,
    -865817,
    -857081,
    -848520,
    -840127,
    -831898,
    -823827,
    -815910,
    -808143,
    -800521,
    -793041,
    -785699,
    -778490,
    -771411,
    -764460,
    -757631,
    -750922,
    -744331,
    -737853,
    -731486,
    -725227,
    -719074,
    -713023,
    -707072,
    -701219,
    -695462,
    -689797,
    -684223,
    -678737,
    -673338,
    -668024,
    -662792,
    -657640,
    -652568,
    -647572,
    -642651,
    -637803,
    -633028,
    -628323,
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    -580789,
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    -539870,
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    -529680,
    -526366,
    -523094,
    -519861,
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    -510394,
    -507313,
    -504269,
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)
"""
Tangents LUT.

Should work with BAM fairly well (12 of 16bit, effectively, by shifting).

:meta hide-value:
"""

tan_to_angle = (
    0,
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"""
ArcTan LUT.

Maps tan(angle) to angle fast.

:meta hide-value:
"""


def slope_div(num, den):
    """
    Perform slope division.

    Called by :func:`pink_doom.rendering.point_to_angle`.
    """
    if den < 512:
        return SLOPE_RANGE
    ans = (num << 3) // (den >> 8)
    if ans > SLOPE_RANGE:
        return SLOPE_RANGE
    else:
        return ans