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-/*
- * The ManaPlus Client
- * Copyright (C) 2009 The Mana World Development Team
- * Copyright (C) 2009-2010 The Mana Developers
- * Copyright (C) 2011-2017 The ManaPlus Developers
- *
- * This file is part of The ManaPlus Client.
- *
- * This program is free software; you can redistribute it and/or modify
- * it under the terms of the GNU General Public License as published by
- * the Free Software Foundation; either version 2 of the License, or
- * 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 General Public License for more details.
- *
- * You should have received a copy of the GNU General Public License
- * along with this program. If not, see <http://www.gnu.org/licenses/>.
- */
-
-#ifndef UTILS_MATHUTILS_H
-#define UTILS_MATHUTILS_H
-
-#include "utils/cast.h"
-
-#include <string>
-
-#ifndef USE_SDL2
-#include <cmath>
-#endif // USE_SDL2
-
-#include "localconsts.h"
-
-static constexpr const uint16_t crc_table[256] =
-{
- 0x0000, 0x1021, 0x2042, 0x3063, 0x4084, 0x50a5, 0x60c6, 0x70e7,
- 0x8108, 0x9129, 0xa14a, 0xb16b, 0xc18c, 0xd1ad, 0xe1ce, 0xf1ef,
- 0x1231, 0x0210, 0x3273, 0x2252, 0x52b5, 0x4294, 0x72f7, 0x62d6,
- 0x9339, 0x8318, 0xb37b, 0xa35a, 0xd3bd, 0xc39c, 0xf3ff, 0xe3de,
- 0x2462, 0x3443, 0x0420, 0x1401, 0x64e6, 0x74c7, 0x44a4, 0x5485,
- 0xa56a, 0xb54b, 0x8528, 0x9509, 0xe5ee, 0xf5cf, 0xc5ac, 0xd58d,
- 0x3653, 0x2672, 0x1611, 0x0630, 0x76d7, 0x66f6, 0x5695, 0x46b4,
- 0xb75b, 0xa77a, 0x9719, 0x8738, 0xf7df, 0xe7fe, 0xd79d, 0xc7bc,
- 0x48c4, 0x58e5, 0x6886, 0x78a7, 0x0840, 0x1861, 0x2802, 0x3823,
- 0xc9cc, 0xd9ed, 0xe98e, 0xf9af, 0x8948, 0x9969, 0xa90a, 0xb92b,
- 0x5af5, 0x4ad4, 0x7ab7, 0x6a96, 0x1a71, 0x0a50, 0x3a33, 0x2a12,
- 0xdbfd, 0xcbdc, 0xfbbf, 0xeb9e, 0x9b79, 0x8b58, 0xbb3b, 0xab1a,
- 0x6ca6, 0x7c87, 0x4ce4, 0x5cc5, 0x2c22, 0x3c03, 0x0c60, 0x1c41,
- 0xedae, 0xfd8f, 0xcdec, 0xddcd, 0xad2a, 0xbd0b, 0x8d68, 0x9d49,
- 0x7e97, 0x6eb6, 0x5ed5, 0x4ef4, 0x3e13, 0x2e32, 0x1e51, 0x0e70,
- 0xff9f, 0xefbe, 0xdfdd, 0xcffc, 0xbf1b, 0xaf3a, 0x9f59, 0x8f78,
- 0x9188, 0x81a9, 0xb1ca, 0xa1eb, 0xd10c, 0xc12d, 0xf14e, 0xe16f,
- 0x1080, 0x00a1, 0x30c2, 0x20e3, 0x5004, 0x4025, 0x7046, 0x6067,
- 0x83b9, 0x9398, 0xa3fb, 0xb3da, 0xc33d, 0xd31c, 0xe37f, 0xf35e,
- 0x02b1, 0x1290, 0x22f3, 0x32d2, 0x4235, 0x5214, 0x6277, 0x7256,
- 0xb5ea, 0xa5cb, 0x95a8, 0x8589, 0xf56e, 0xe54f, 0xd52c, 0xc50d,
- 0x34e2, 0x24c3, 0x14a0, 0x0481, 0x7466, 0x6447, 0x5424, 0x4405,
- 0xa7db, 0xb7fa, 0x8799, 0x97b8, 0xe75f, 0xf77e, 0xc71d, 0xd73c,
- 0x26d3, 0x36f2, 0x0691, 0x16b0, 0x6657, 0x7676, 0x4615, 0x5634,
- 0xd94c, 0xc96d, 0xf90e, 0xe92f, 0x99c8, 0x89e9, 0xb98a, 0xa9ab,
- 0x5844, 0x4865, 0x7806, 0x6827, 0x18c0, 0x08e1, 0x3882, 0x28a3,
- 0xcb7d, 0xdb5c, 0xeb3f, 0xfb1e, 0x8bf9, 0x9bd8, 0xabbb, 0xbb9a,
- 0x4a75, 0x5a54, 0x6a37, 0x7a16, 0x0af1, 0x1ad0, 0x2ab3, 0x3a92,
- 0xfd2e, 0xed0f, 0xdd6c, 0xcd4d, 0xbdaa, 0xad8b, 0x9de8, 0x8dc9,
- 0x7c26, 0x6c07, 0x5c64, 0x4c45, 0x3ca2, 0x2c83, 0x1ce0, 0x0cc1,
- 0xef1f, 0xff3e, 0xcf5d, 0xdf7c, 0xaf9b, 0xbfba, 0x8fd9, 0x9ff8,
- 0x6e17, 0x7e36, 0x4e55, 0x5e74, 0x2e93, 0x3eb2, 0x0ed1, 0x1ef0
-};
-
-static constexpr const uint8_t square_roots[1000] =
-{
- 0, 1, 1, 1, 2, 2, 2, 2, 2, 3,
- 3, 3, 3, 3, 3, 3, 4, 4, 4, 4,
- 4, 4, 4, 4, 4, 5, 5, 5, 5, 5,
- 5, 5, 5, 5, 5, 5, 6, 6, 6, 6,
- 6, 6, 6, 6, 6, 6, 6, 6, 6, 7,
- 7, 7, 7, 7, 7, 7, 7, 7, 7, 7,
- 7, 7, 7, 7, 8, 8, 8, 8, 8, 8,
- 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,
- 8, 9, 9, 9, 9, 9, 9, 9, 9, 9,
- 9, 9, 9, 9, 9, 9, 9, 9, 9, 9,
- 10, 10, 10, 10, 10, 10, 10, 10, 10, 10,
- 10, 10, 10, 10, 10, 10, 10, 10, 10, 10,
- 10, 11, 11, 11, 11, 11, 11, 11, 11, 11,
- 11, 11, 11, 11, 11, 11, 11, 11, 11, 11,
- 11, 11, 11, 11, 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, 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, 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, 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, 16, 16, 16, 16,
- 16, 16, 16, 16, 16, 16, 16, 16, 16, 16,
- 16, 16, 16, 16, 16, 16, 16, 16, 16, 16,
- 16, 16, 16, 16, 16, 16, 16, 16, 16, 17,
- 17, 17, 17, 17, 17, 17, 17, 17, 17, 17,
- 17, 17, 17, 17, 17, 17, 17, 17, 17, 17,
- 17, 17, 17, 17, 17, 17, 17, 17, 17, 17,
- 17, 17, 17, 17, 18, 18, 18, 18, 18, 18,
- 18, 18, 18, 18, 18, 18, 18, 18, 18, 18,
- 18, 18, 18, 18, 18, 18, 18, 18, 18, 18,
- 18, 18, 18, 18, 18, 18, 18, 18, 18, 18,
- 18, 19, 19, 19, 19, 19, 19, 19, 19, 19,
- 19, 19, 19, 19, 19, 19, 19, 19, 19, 19,
- 19, 19, 19, 19, 19, 19, 19, 19, 19, 19,
- 19, 19, 19, 19, 19, 19, 19, 19, 19, 19,
- 20, 20, 20, 20, 20, 20, 20, 20, 20, 20,
- 20, 20, 20, 20, 20, 20, 20, 20, 20, 20,
- 20, 20, 20, 20, 20, 20, 20, 20, 20, 20,
- 20, 20, 20, 20, 20, 20, 20, 20, 20, 20,
- 20, 21, 21, 21, 21, 21, 21, 21, 21, 21,
- 21, 21, 21, 21, 21, 21, 21, 21, 21, 21,
- 21, 21, 21, 21, 21, 21, 21, 21, 21, 21,
- 21, 21, 21, 21, 21, 21, 21, 21, 21, 21,
- 21, 21, 21, 21, 22, 22, 22, 22, 22, 22,
- 22, 22, 22, 22, 22, 22, 22, 22, 22, 22,
- 22, 22, 22, 22, 22, 22, 22, 22, 22, 22,
- 22, 22, 22, 22, 22, 22, 22, 22, 22, 22,
- 22, 22, 22, 22, 22, 22, 22, 22, 22, 23,
- 23, 23, 23, 23, 23, 23, 23, 23, 23, 23,
- 23, 23, 23, 23, 23, 23, 23, 23, 23, 23,
- 23, 23, 23, 23, 23, 23, 23, 23, 23, 23,
- 23, 23, 23, 23, 23, 23, 23, 23, 23, 23,
- 23, 23, 23, 23, 23, 23, 24, 24, 24, 24,
- 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
- 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
- 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
- 24, 24, 24, 24, 24, 24, 24, 24, 24, 24,
- 24, 24, 24, 24, 24, 25, 25, 25, 25, 25,
- 25, 25, 25, 25, 25, 25, 25, 25, 25, 25,
- 25, 25, 25, 25, 25, 25, 25, 25, 25, 25,
- 25, 25, 25, 25, 25, 25, 25, 25, 25, 25,
- 25, 25, 25, 25, 25, 25, 25, 25, 25, 25,
- 25, 25, 25, 25, 25, 25, 26, 26, 26, 26,
- 26, 26, 26, 26, 26, 26, 26, 26, 26, 26,
- 26, 26, 26, 26, 26, 26, 26, 26, 26, 26,
- 26, 26, 26, 26, 26, 26, 26, 26, 26, 26,
- 26, 26, 26, 26, 26, 26, 26, 26, 26, 26,
- 26, 26, 26, 26, 26, 26, 26, 26, 26, 27,
- 27, 27, 27, 27, 27, 27, 27, 27, 27, 27,
- 27, 27, 27, 27, 27, 27, 27, 27, 27, 27,
- 27, 27, 27, 27, 27, 27, 27, 27, 27, 27,
- 27, 27, 27, 27, 27, 27, 27, 27, 27, 27,
- 27, 27, 27, 27, 27, 27, 27, 27, 27, 27,
- 27, 27, 27, 27, 28, 28, 28, 28, 28, 28,
- 28, 28, 28, 28, 28, 28, 28, 28, 28, 28,
- 28, 28, 28, 28, 28, 28, 28, 28, 28, 28,
- 28, 28, 28, 28, 28, 28, 28, 28, 28, 28,
- 28, 28, 28, 28, 28, 28, 28, 28, 28, 28,
- 28, 28, 28, 28, 28, 28, 28, 28, 28, 28,
- 28, 29, 29, 29, 29, 29, 29, 29, 29, 29,
- 29, 29, 29, 29, 29, 29, 29, 29, 29, 29,
- 29, 29, 29, 29, 29, 29, 29, 29, 29, 29,
- 29, 29, 29, 29, 29, 29, 29, 29, 29, 29,
- 29, 29, 29, 29, 29, 29, 29, 29, 29, 29,
- 29, 29, 29, 29, 29, 29, 29, 29, 29, 29,
- 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
- 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
- 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
- 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
- 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
- 30, 30, 30, 30, 30, 30, 30, 30, 30, 30,
- 30, 31, 31, 31, 31, 31, 31, 31, 31, 31,
- 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
- 31, 31, 31, 31, 31, 31, 31, 31, 31, 31,
- 31, 31, 31, 31, 31, 31, 31, 31, 31, 31
-};
-
-inline uint16_t getCrc16(const std::string &str) A_WARN_UNUSED;
-constexpr2 inline float fastInvSqrt(float x) A_WARN_UNUSED;
-constexpr2 inline float fastSqrt(const float x) A_WARN_UNUSED;
-constexpr inline float weightedAverage(const float n1, const float n2,
- const float w) A_WARN_UNUSED;
-constexpr inline int roundDouble(const double v) A_WARN_UNUSED;
-constexpr2 inline int powerOfTwo(const unsigned int input) A_WARN_UNUSED;
-constexpr2 inline int fastSqrtInt(const unsigned int n) A_WARN_UNUSED;
-
-inline uint16_t getCrc16(const std::string &str)
-{
- size_t f = str.size();
- uint16_t crc16 = 0xffff;
-
- while (f != 0)
- {
- f --;
- crc16 = CAST_U16(
- crc_table[(crc16 ^ (str[f])) & 0xff] ^ (crc16 >> 8));
- }
-
- return crc16;
-}
-
-/* A very fast function to calculate the approximate inverse square root of a
- * floating point value and a helper function that uses it for getting the
- * normal squareroot. For an explanation of the inverse squareroot function
- * read:
- * http://www.math.purdue.edu/~clomont/Math/Papers/2003/InvSqrt.pdf
- *
- * Unfortunately the original creator of this function seems to be unknown.
- */
-
-constexpr2 inline float fastInvSqrt(float x)
-{
- union { int i; float x; } tmp = {0U};
- const float xhalf = 0.5F * x;
- tmp.x = x;
- tmp.i = 0x5f375a86 - (tmp.i >> 1);
- x = tmp.x;
- x = x * (1.5F - xhalf * x * x);
- return x;
-}
-
-constexpr2 inline float fastSqrt(const float x)
-{
- return 1.0F / fastInvSqrt(x);
-}
-
-constexpr inline float weightedAverage(const float n1, const float n2,
- const float w)
-{
- return w < 0.0F ? n1 : (w > 1.0F ? n2 : w * n2 + (1.0F - w) * n1);
-}
-
-constexpr inline int roundDouble(const double v)
-{
- return (v > 0.0) ? CAST_S32(v + 0.5) : CAST_S32(v - 0.5);
-}
-
-constexpr2 inline int powerOfTwo(const unsigned int input)
-{
- unsigned int value = 1;
- while (value < input)
- value <<= 1;
- return value;
-}
-
-constexpr2 inline int fastSqrtInt(const unsigned int n)
-{
- if (n < 1000)
- return CAST_S32(square_roots[n]);
- return CAST_S32(sqrt(n));
-}
-
-#endif // UTILS_MATHUTILS_H
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