2006-03-20 17:12:09 +00:00
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/*
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2018-09-02 00:57:29 +00:00
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* This file is part of the DXX-Rebirth project <https://www.dxx-rebirth.com/>.
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2014-06-12 08:41:03 +00:00
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* It is copyright by its individual contributors, as recorded in the
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* project's Git history. See COPYING.txt at the top level for license
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* terms and a link to the Git history.
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*/
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2006-03-20 17:12:09 +00:00
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/*
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*
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* C version of fixed point library
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*
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*/
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#include "maths.h"
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2015-12-13 18:00:49 +00:00
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namespace dcx {
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2015-12-05 22:57:24 +00:00
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2022-05-24 02:32:58 +00:00
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constexpr std::array<uint8_t, 256> guess_table{{
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2006-03-20 17:12:09 +00:00
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1,
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1,1,1,
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2,2,2,2,2,
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3,3,3,3,3,3,3,
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4,4,4,4,4,4,4,4,4,
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5,5,5,5,5,5,5,5,5,5,5,
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6,6,6,6,6,6,6,6,6,6,6,6,6,
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7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
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8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
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9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,
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10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
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11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,
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12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
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13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,
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14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,
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15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15
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2015-04-02 02:36:52 +00:00
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}};
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2006-03-20 17:12:09 +00:00
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2020-05-02 21:18:42 +00:00
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const std::array<int16_t, 256> sincos_table{{
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2006-03-20 17:12:09 +00:00
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0,
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402,
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804,
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1205,
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1606,
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2006,
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2404,
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2801,
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3196,
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3590,
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3981,
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4370,
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4756,
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5139,
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5520,
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5897,
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6270,
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6639,
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7005,
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7366,
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7723,
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8076,
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8423,
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8765,
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9102,
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9434,
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9760,
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10080,
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10394,
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10702,
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11003,
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11297,
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11585,
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11866,
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12140,
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12406,
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12665,
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12916,
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13160,
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13395,
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13623,
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13842,
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14053,
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14256,
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14449,
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14635,
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14811,
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14978,
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15137,
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15286,
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15426,
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15557,
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15679,
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15791,
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15893,
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15986,
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16069,
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16143,
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16207,
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16261,
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16305,
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16340,
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16364,
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16379,
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// cos_table
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16384,
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16379,
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16364,
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16340,
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16305,
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16261,
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16207,
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16143,
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16069,
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15986,
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15893,
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15791,
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15679,
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15557,
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15426,
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15286,
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15137,
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14978,
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14811,
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14635,
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14449,
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14256,
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14053,
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13842,
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13623,
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13395,
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13160,
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12916,
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12665,
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12406,
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12140,
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11866,
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11585,
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11297,
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11003,
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10702,
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10394,
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10080,
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9760,
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9434,
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9102,
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8765,
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8423,
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8076,
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7723,
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7366,
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7005,
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6639,
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6270,
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5897,
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5520,
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5139,
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4756,
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4370,
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3981,
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3590,
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3196,
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2801,
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2404,
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2006,
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1606,
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1205,
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804,
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402,
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0,
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-402,
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-804,
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-1205,
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-1606,
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-2006,
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-2404,
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-2801,
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-3196,
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-3590,
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-3981,
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-4370,
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-4756,
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-5139,
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-5520,
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-5897,
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-6270,
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-6639,
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-7005,
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-7366,
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-7723,
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-8076,
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-8423,
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-8765,
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-9102,
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-9434,
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-9760,
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-10080,
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-10394,
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-10702,
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-11003,
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-11297,
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-11585,
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-11866,
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-12140,
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-12406,
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-12665,
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-12916,
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-13160,
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-13395,
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-13623,
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-13842,
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-14053,
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-14256,
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-14449,
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-14635,
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-14811,
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-14978,
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-15137,
|
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-15286,
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-15426,
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-15557,
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-15679,
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-15791,
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-15893,
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-15986,
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-16069,
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-16143,
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-16207,
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-16261,
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-16305,
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-16340,
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-16364,
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-16379,
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-16384,
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-16379,
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-16364,
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-16340,
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-16305,
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-16261,
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-16207,
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-16143,
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-16069,
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-15986,
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-15893,
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-15791,
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-15679,
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-15557,
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-15426,
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-15286,
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-15137,
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-14978,
|
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-14811,
|
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-14635,
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-14449,
|
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-14256,
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-14053,
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-13842,
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-13623,
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-13395,
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-13160,
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-12916,
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-12665,
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-12406,
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-12140,
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-11866,
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-11585,
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-11297,
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-11003,
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-10702,
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-10394,
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-10080,
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-9760,
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-9434,
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-9102,
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-8765,
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-8423,
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-8076,
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-7723,
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-7366,
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-7005,
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-6639,
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-6270,
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-5897,
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-5520,
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-5139,
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-4756,
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-4370,
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-3981,
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-3590,
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-3196,
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-2801,
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-2404,
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-2006,
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-1606,
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-1205,
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-804,
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-402,
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2015-04-02 02:36:52 +00:00
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}};
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2006-03-20 17:12:09 +00:00
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2020-05-02 21:18:42 +00:00
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const std::array<ushort, 258> asin_table{{
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2006-03-20 17:12:09 +00:00
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0,
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41,
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81,
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122,
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163,
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204,
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244,
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285,
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326,
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367,
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408,
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448,
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489,
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530,
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571,
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612,
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652,
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693,
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734,
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775,
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816,
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857,
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897,
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938,
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979,
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1020,
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1061,
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1102,
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1143,
|
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|
1184,
|
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|
1225,
|
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|
1266,
|
|
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|
1307,
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|
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|
1348,
|
|
|
|
1389,
|
|
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|
1431,
|
|
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|
1472,
|
|
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|
1513,
|
|
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|
1554,
|
|
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|
1595,
|
|
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|
1636,
|
|
|
|
1678,
|
|
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|
1719,
|
|
|
|
1760,
|
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1802,
|
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1843,
|
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1884,
|
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1926,
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1967,
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2009,
|
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|
2050,
|
|
|
|
2092,
|
|
|
|
2134,
|
|
|
|
2175,
|
|
|
|
2217,
|
|
|
|
2259,
|
|
|
|
2300,
|
|
|
|
2342,
|
|
|
|
2384,
|
|
|
|
2426,
|
|
|
|
2468,
|
|
|
|
2510,
|
|
|
|
2551,
|
|
|
|
2593,
|
|
|
|
2636,
|
|
|
|
2678,
|
|
|
|
2720,
|
|
|
|
2762,
|
|
|
|
2804,
|
|
|
|
2847,
|
|
|
|
2889,
|
|
|
|
2931,
|
|
|
|
2974,
|
|
|
|
3016,
|
|
|
|
3059,
|
|
|
|
3101,
|
|
|
|
3144,
|
|
|
|
3187,
|
|
|
|
3229,
|
|
|
|
3272,
|
|
|
|
3315,
|
|
|
|
3358,
|
|
|
|
3401,
|
|
|
|
3444,
|
|
|
|
3487,
|
|
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|
3530,
|
|
|
|
3573,
|
|
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|
3617,
|
|
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|
3660,
|
|
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|
3704,
|
|
|
|
3747,
|
|
|
|
3791,
|
|
|
|
3834,
|
|
|
|
3878,
|
|
|
|
3922,
|
|
|
|
3965,
|
|
|
|
4009,
|
|
|
|
4053,
|
|
|
|
4097,
|
|
|
|
4142,
|
|
|
|
4186,
|
|
|
|
4230,
|
|
|
|
4275,
|
|
|
|
4319,
|
|
|
|
4364,
|
|
|
|
4408,
|
|
|
|
4453,
|
|
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|
4498,
|
|
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|
4543,
|
|
|
|
4588,
|
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|
|
4633,
|
|
|
|
4678,
|
|
|
|
4723,
|
|
|
|
4768,
|
|
|
|
4814,
|
|
|
|
4859,
|
|
|
|
4905,
|
|
|
|
4951,
|
|
|
|
4997,
|
|
|
|
5043,
|
|
|
|
5089,
|
|
|
|
5135,
|
|
|
|
5181,
|
|
|
|
5228,
|
|
|
|
5274,
|
|
|
|
5321,
|
|
|
|
5367,
|
|
|
|
5414,
|
|
|
|
5461,
|
|
|
|
5508,
|
|
|
|
5556,
|
|
|
|
5603,
|
|
|
|
5651,
|
|
|
|
5698,
|
|
|
|
5746,
|
|
|
|
5794,
|
|
|
|
5842,
|
|
|
|
5890,
|
|
|
|
5938,
|
|
|
|
5987,
|
|
|
|
6035,
|
|
|
|
6084,
|
|
|
|
6133,
|
|
|
|
6182,
|
|
|
|
6231,
|
|
|
|
6281,
|
|
|
|
6330,
|
|
|
|
6380,
|
|
|
|
6430,
|
|
|
|
6480,
|
|
|
|
6530,
|
|
|
|
6580,
|
|
|
|
6631,
|
|
|
|
6681,
|
|
|
|
6732,
|
|
|
|
6783,
|
|
|
|
6835,
|
|
|
|
6886,
|
|
|
|
6938,
|
|
|
|
6990,
|
|
|
|
7042,
|
|
|
|
7094,
|
|
|
|
7147,
|
|
|
|
7199,
|
|
|
|
7252,
|
|
|
|
7306,
|
|
|
|
7359,
|
|
|
|
7413,
|
|
|
|
7466,
|
|
|
|
7521,
|
|
|
|
7575,
|
|
|
|
7630,
|
|
|
|
7684,
|
|
|
|
7740,
|
|
|
|
7795,
|
|
|
|
7851,
|
|
|
|
7907,
|
|
|
|
7963,
|
|
|
|
8019,
|
|
|
|
8076,
|
|
|
|
8133,
|
|
|
|
8191,
|
|
|
|
8249,
|
|
|
|
8307,
|
|
|
|
8365,
|
|
|
|
8424,
|
|
|
|
8483,
|
|
|
|
8543,
|
|
|
|
8602,
|
|
|
|
8663,
|
|
|
|
8723,
|
|
|
|
8784,
|
|
|
|
8846,
|
|
|
|
8907,
|
|
|
|
8970,
|
|
|
|
9032,
|
|
|
|
9095,
|
|
|
|
9159,
|
|
|
|
9223,
|
|
|
|
9288,
|
|
|
|
9353,
|
|
|
|
9418,
|
|
|
|
9484,
|
|
|
|
9551,
|
|
|
|
9618,
|
|
|
|
9686,
|
|
|
|
9754,
|
|
|
|
9823,
|
|
|
|
9892,
|
|
|
|
9963,
|
|
|
|
10034,
|
|
|
|
10105,
|
|
|
|
10177,
|
|
|
|
10251,
|
|
|
|
10324,
|
|
|
|
10399,
|
|
|
|
10475,
|
|
|
|
10551,
|
|
|
|
10628,
|
|
|
|
10706,
|
|
|
|
10785,
|
|
|
|
10866,
|
|
|
|
10947,
|
|
|
|
11029,
|
|
|
|
11113,
|
|
|
|
11198,
|
|
|
|
11284,
|
|
|
|
11371,
|
|
|
|
11460,
|
|
|
|
11550,
|
|
|
|
11642,
|
|
|
|
11736,
|
|
|
|
11831,
|
|
|
|
11929,
|
|
|
|
12028,
|
|
|
|
12130,
|
|
|
|
12234,
|
|
|
|
12340,
|
|
|
|
12449,
|
|
|
|
12561,
|
|
|
|
12677,
|
|
|
|
12796,
|
|
|
|
12919,
|
|
|
|
13046,
|
|
|
|
13178,
|
|
|
|
13315,
|
|
|
|
13459,
|
|
|
|
13610,
|
|
|
|
13770,
|
|
|
|
13939,
|
|
|
|
14121,
|
|
|
|
14319,
|
|
|
|
14538,
|
|
|
|
14786,
|
|
|
|
15079,
|
|
|
|
15462,
|
|
|
|
16384,
|
|
|
|
16384 // extra for when exactly 1
|
2015-04-02 02:36:52 +00:00
|
|
|
}};
|
2006-03-20 17:12:09 +00:00
|
|
|
|
2020-05-02 21:18:42 +00:00
|
|
|
const std::array<ushort, 258> acos_table{{
|
2006-03-20 17:12:09 +00:00
|
|
|
16384,
|
|
|
|
16343,
|
|
|
|
16303,
|
|
|
|
16262,
|
|
|
|
16221,
|
|
|
|
16180,
|
|
|
|
16140,
|
|
|
|
16099,
|
|
|
|
16058,
|
|
|
|
16017,
|
|
|
|
15976,
|
|
|
|
15936,
|
|
|
|
15895,
|
|
|
|
15854,
|
|
|
|
15813,
|
|
|
|
15772,
|
|
|
|
15732,
|
|
|
|
15691,
|
|
|
|
15650,
|
|
|
|
15609,
|
|
|
|
15568,
|
|
|
|
15527,
|
|
|
|
15487,
|
|
|
|
15446,
|
|
|
|
15405,
|
|
|
|
15364,
|
|
|
|
15323,
|
|
|
|
15282,
|
|
|
|
15241,
|
|
|
|
15200,
|
|
|
|
15159,
|
|
|
|
15118,
|
|
|
|
15077,
|
|
|
|
15036,
|
|
|
|
14995,
|
|
|
|
14953,
|
|
|
|
14912,
|
|
|
|
14871,
|
|
|
|
14830,
|
|
|
|
14789,
|
|
|
|
14748,
|
|
|
|
14706,
|
|
|
|
14665,
|
|
|
|
14624,
|
|
|
|
14582,
|
|
|
|
14541,
|
|
|
|
14500,
|
|
|
|
14458,
|
|
|
|
14417,
|
|
|
|
14375,
|
|
|
|
14334,
|
|
|
|
14292,
|
|
|
|
14250,
|
|
|
|
14209,
|
|
|
|
14167,
|
|
|
|
14125,
|
|
|
|
14084,
|
|
|
|
14042,
|
|
|
|
14000,
|
|
|
|
13958,
|
|
|
|
13916,
|
|
|
|
13874,
|
|
|
|
13833,
|
|
|
|
13791,
|
|
|
|
13748,
|
|
|
|
13706,
|
|
|
|
13664,
|
|
|
|
13622,
|
|
|
|
13580,
|
|
|
|
13537,
|
|
|
|
13495,
|
|
|
|
13453,
|
|
|
|
13410,
|
|
|
|
13368,
|
|
|
|
13325,
|
|
|
|
13283,
|
|
|
|
13240,
|
|
|
|
13197,
|
|
|
|
13155,
|
|
|
|
13112,
|
|
|
|
13069,
|
|
|
|
13026,
|
|
|
|
12983,
|
|
|
|
12940,
|
|
|
|
12897,
|
|
|
|
12854,
|
|
|
|
12811,
|
|
|
|
12767,
|
|
|
|
12724,
|
|
|
|
12680,
|
|
|
|
12637,
|
|
|
|
12593,
|
|
|
|
12550,
|
|
|
|
12506,
|
|
|
|
12462,
|
|
|
|
12419,
|
|
|
|
12375,
|
|
|
|
12331,
|
|
|
|
12287,
|
|
|
|
12242,
|
|
|
|
12198,
|
|
|
|
12154,
|
|
|
|
12109,
|
|
|
|
12065,
|
|
|
|
12020,
|
|
|
|
11976,
|
|
|
|
11931,
|
|
|
|
11886,
|
|
|
|
11841,
|
|
|
|
11796,
|
|
|
|
11751,
|
|
|
|
11706,
|
|
|
|
11661,
|
|
|
|
11616,
|
|
|
|
11570,
|
|
|
|
11525,
|
|
|
|
11479,
|
|
|
|
11433,
|
|
|
|
11387,
|
|
|
|
11341,
|
|
|
|
11295,
|
|
|
|
11249,
|
|
|
|
11203,
|
|
|
|
11156,
|
|
|
|
11110,
|
|
|
|
11063,
|
|
|
|
11017,
|
|
|
|
10970,
|
|
|
|
10923,
|
|
|
|
10876,
|
|
|
|
10828,
|
|
|
|
10781,
|
|
|
|
10733,
|
|
|
|
10686,
|
|
|
|
10638,
|
|
|
|
10590,
|
|
|
|
10542,
|
|
|
|
10494,
|
|
|
|
10446,
|
|
|
|
10397,
|
|
|
|
10349,
|
|
|
|
10300,
|
|
|
|
10251,
|
|
|
|
10202,
|
|
|
|
10153,
|
|
|
|
10103,
|
|
|
|
10054,
|
|
|
|
10004,
|
|
|
|
9954,
|
|
|
|
9904,
|
|
|
|
9854,
|
|
|
|
9804,
|
|
|
|
9753,
|
|
|
|
9703,
|
|
|
|
9652,
|
|
|
|
9601,
|
|
|
|
9549,
|
|
|
|
9498,
|
|
|
|
9446,
|
|
|
|
9394,
|
|
|
|
9342,
|
|
|
|
9290,
|
|
|
|
9237,
|
|
|
|
9185,
|
|
|
|
9132,
|
|
|
|
9078,
|
|
|
|
9025,
|
|
|
|
8971,
|
|
|
|
8918,
|
|
|
|
8863,
|
|
|
|
8809,
|
|
|
|
8754,
|
|
|
|
8700,
|
|
|
|
8644,
|
|
|
|
8589,
|
|
|
|
8533,
|
|
|
|
8477,
|
|
|
|
8421,
|
|
|
|
8365,
|
|
|
|
8308,
|
|
|
|
8251,
|
|
|
|
8193,
|
|
|
|
8135,
|
|
|
|
8077,
|
|
|
|
8019,
|
|
|
|
7960,
|
|
|
|
7901,
|
|
|
|
7841,
|
|
|
|
7782,
|
|
|
|
7721,
|
|
|
|
7661,
|
|
|
|
7600,
|
|
|
|
7538,
|
|
|
|
7477,
|
|
|
|
7414,
|
|
|
|
7352,
|
|
|
|
7289,
|
|
|
|
7225,
|
|
|
|
7161,
|
|
|
|
7096,
|
|
|
|
7031,
|
|
|
|
6966,
|
|
|
|
6900,
|
|
|
|
6833,
|
|
|
|
6766,
|
|
|
|
6698,
|
|
|
|
6630,
|
|
|
|
6561,
|
|
|
|
6492,
|
|
|
|
6421,
|
|
|
|
6350,
|
|
|
|
6279,
|
|
|
|
6207,
|
|
|
|
6133,
|
|
|
|
6060,
|
|
|
|
5985,
|
|
|
|
5909,
|
|
|
|
5833,
|
|
|
|
5756,
|
|
|
|
5678,
|
|
|
|
5599,
|
|
|
|
5518,
|
|
|
|
5437,
|
|
|
|
5355,
|
|
|
|
5271,
|
|
|
|
5186,
|
|
|
|
5100,
|
|
|
|
5013,
|
|
|
|
4924,
|
|
|
|
4834,
|
|
|
|
4742,
|
|
|
|
4648,
|
|
|
|
4553,
|
|
|
|
4455,
|
|
|
|
4356,
|
|
|
|
4254,
|
|
|
|
4150,
|
|
|
|
4044,
|
|
|
|
3935,
|
|
|
|
3823,
|
|
|
|
3707,
|
|
|
|
3588,
|
|
|
|
3465,
|
|
|
|
3338,
|
|
|
|
3206,
|
|
|
|
3069,
|
|
|
|
2925,
|
|
|
|
2774,
|
|
|
|
2614,
|
|
|
|
2445,
|
|
|
|
2263,
|
|
|
|
2065,
|
|
|
|
1846,
|
|
|
|
1598,
|
|
|
|
1305,
|
|
|
|
922,
|
|
|
|
0,
|
|
|
|
0 // extra for when exactly 1
|
2015-04-02 02:36:52 +00:00
|
|
|
}};
|
2015-12-05 22:57:24 +00:00
|
|
|
|
|
|
|
}
|