/*
 *	Image Library -- Math routines
 *
 *	(c) 2006 Pavel Charvat <pchar@ucw.cz>
 *
 *	This software may be freely distributed and used according to the terms
 *	of the GNU General Public License.
 */

#include <ucw/lib.h>
#include <images/math.h>

const u32 fast_div_tab[] = {
          0, 4294967295U,2147483648U,1431655766, 1073741824,  858993460,  715827883,  613566757,
  536870912,  477218589,  429496730,  390451573,  357913942,  330382100,  306783379,  286331154,
  268435456,  252645136,  238609295,  226050911,  214748365,  204522253,  195225787,  186737709,
  178956971,  171798692,  165191050,  159072863,  153391690,  148102321,  143165577,  138547333,
  134217728,  130150525,  126322568,  122713352,  119304648,  116080198,  113025456,  110127367,
  107374183,  104755300,  102261127,   99882961,   97612894,   95443718,   93368855,   91382283,
   89478486,   87652394,   85899346,   84215046,   82595525,   81037119,   79536432,   78090315,
   76695845,   75350304,   74051161,   72796056,   71582789,   70409300,   69273667,   68174085,
   67108864,   66076420,   65075263,   64103990,   63161284,   62245903,   61356676,   60492498,
   59652324,   58835169,   58040099,   57266231,   56512728,   55778797,   55063684,   54366675,
   53687092,   53024288,   52377650,   51746594,   51130564,   50529028,   49941481,   49367441,
   48806447,   48258060,   47721859,   47197443,   46684428,   46182445,   45691142,   45210183,
   44739243,   44278014,   43826197,   43383509,   42949673,   42524429,   42107523,   41698712,
   41297763,   40904451,   40518560,   40139882,   39768216,   39403370,   39045158,   38693400,
   38347923,   38008561,   37675152,   37347542,   37025581,   36709123,   36398028,   36092163,
   35791395,   35495598,   35204650,   34918434,   34636834,   34359739,   34087043,   33818641,
   33554432,   33294321,   33038210,   32786010,   32537632,   32292988,   32051995,   31814573,
   31580642,   31350127,   31122952,   30899046,   30678338,   30460761,   30246249,   30034737,
   29826162,   29620465,   29417585,   29217465,   29020050,   28825284,   28633116,   28443493,
   28256364,   28071682,   27889399,   27709467,   27531842,   27356480,   27183338,   27012373,
   26843546,   26676816,   26512144,   26349493,   26188825,   26030105,   25873297,   25718368,
   25565282,   25414008,   25264514,   25116768,   24970741,   24826401,   24683721,   24542671,
   24403224,   24265352,   24129030,   23994231,   23860930,   23729102,   23598722,   23469767,
   23342214,   23216040,   23091223,   22967740,   22845571,   22724695,   22605092,   22486740,
   22369622,   22253717,   22139007,   22025474,   21913099,   21801865,   21691755,   21582751,
   21474837,   21367997,   21262215,   21157475,   21053762,   20951060,   20849356,   20748635,
   20648882,   20550083,   20452226,   20355296,   20259280,   20164166,   20069941,   19976593,
   19884108,   19792477,   19701685,   19611723,   19522579,   19434242,   19346700,   19259944,
   19173962,   19088744,   19004281,   18920561,   18837576,   18755316,   18673771,   18592933,
   18512791,   18433337,   18354562,   18276457,   18199014,   18122225,   18046082,   17970575,
   17895698,   17821442,   17747799,   17674763,   17602325,   17530479,   17459217,   17388532,
   17318417,   17248865,   17179870,   17111424,   17043522,   16976156,   16909321,   16843010 };

const byte fast_sqrt_tab[] = {
    0,   16,   23,   28,   32,   36,   39,   43,   46,   48,   51,   53,   56,   58,   60,   62,
   64,   66,   68,   70,   72,   74,   75,   77,   79,   80,   82,   83,   85,   86,   88,   89,
   91,   92,   94,   95,   96,   98,   99,  100,  101,  103,  104,  105,  106,  108,  109,  110,
  111,  112,  113,  115,  116,  117,  118,  119,  120,  121,  122,  123,  124,  125,  126,  127,
  128,  129,  130,  131,  132,  133,  134,  135,  136,  137,  138,  139,  140,  141,  142,  143,
  143,  144,  145,  146,  147,  148,  149,  150,  150,  151,  152,  153,  154,  155,  155,  156,
  157,  158,  159,  159,  160,  161,  162,  163,  163,  164,  165,  166,  167,  167,  168,  169,
  170,  170,  171,  172,  173,  173,  174,  175,  176,  176,  177,  178,  178,  179,  180,  181,
  181,  182,  183,  183,  184,  185,  186,  186,  187,  188,  188,  189,  190,  190,  191,  192,
  192,  193,  194,  194,  195,  196,  196,  197,  198,  198,  199,  199,  200,  201,  201,  202,
  203,  203,  204,  205,  205,  206,  206,  207,  208,  208,  209,  210,  210,  211,  211,  212,
  213,  213,  214,  214,  215,  216,  216,  217,  217,  218,  219,  219,  220,  220,  221,  221,
  222,  223,  223,  224,  224,  225,  225,  226,  227,  227,  228,  228,  229,  229,  230,  230,
  231,  232,  232,  233,  233,  234,  234,  235,  235,  236,  237,  237,  238,  238,  239,  239,
  240,  240,  241,  241,  242,  242,  243,  243,  244,  245,  245,  246,  246,  247,  247,  248,
  248,  249,  249,  250,  250,  251,  251,  252,  252,  253,  253,  254,  254,  255,  255,  255 };