namespace Supercell.Laser.Titan.Math { public static unsafe class LogicMath { private static readonly byte[] SQRT_TABLE = { 0x00, 0x10, 0x16, 0x1B, 0x20, 0x23, 0x27, 0x2A, 0x2D, 0x30, 0x32, 0x35, 0x37, 0x39, 0x3B, 0x3D, 0x40, 0x41, 0x43, 0x45, 0x47, 0x49, 0x4B, 0x4C, 0x4E, 0x50, 0x51, 0x53, 0x54, 0x56, 0x57, 0x59, 0x5A, 0x5B, 0x5D, 0x5E, 0x60, 0x61, 0x62, 0x63, 0x65, 0x66, 0x67, 0x68, 0x6A, 0x6B, 0x6C, 0x6D, 0x6E, 0x70, 0x71, 0x72, 0x73, 0x74, 0x75, 0x76, 0x77, 0x78, 0x79, 0x7A, 0x7B, 0x7C, 0x7D, 0x7E, 0x80, 0x80, 0x81, 0x82, 0x83, 0x84, 0x85, 0x86, 0x87, 0x88, 0x89, 0x8A, 0x8B, 0x8C, 0x8D, 0x8E, 0x8F, 0x90, 0x90, 0x91, 0x92, 0x93, 0x94, 0x95, 0x96, 0x96, 0x97, 0x98, 0x99, 0x9A, 0x9B, 0x9B, 0x9C, 0x9D, 0x9E, 0x9F, 0xA0, 0xA0, 0xA1, 0xA2, 0xA3, 0xA3, 0xA4, 0xA5, 0xA6, 0xA7, 0xA7, 0xA8, 0xA9, 0xAA, 0xAA, 0xAB, 0xAC, 0xAD, 0xAD, 0xAE, 0xAF, 0xB0, 0xB0, 0xB1, 0xB2, 0xB2, 0xB3, 0xB4, 0xB5, 0xB5, 0xB6, 0xB7, 0xB7, 0xB8, 0xB9, 0xB9, 0xBA, 0xBB, 0xBB, 0xBC, 0xBD, 0xBD, 0xBE, 0xBF, 0xC0, 0xC0, 0xC1, 0xC1, 0xC2, 0xC3, 0xC3, 0xC4, 0xC5, 0xC5, 0xC6, 0xC7, 0xC7, 0xC8, 0xC9, 0xC9, 0xCA, 0xCB, 0xCB, 0xCC, 0xCC, 0xCD, 0xCE, 0xCE, 0xCF, 0xD0, 0xD0, 0xD1, 0xD1, 0xD2, 0xD3, 0xD3, 0xD4, 0xD4, 0xD5, 0xD6, 0xD6, 0xD7, 0xD7, 0xD8, 0xD9, 0xD9, 0xDA, 0xDA, 0xDB, 0xDB, 0xDC, 0xDD, 0xDD, 0xDE, 0xDE, 0xDF, 0xE0, 0xE0, 0xE1, 0xE1, 0xE2, 0xE2, 0xE3, 0xE3, 0xE4, 0xE5, 0xE5, 0xE6, 0xE6, 0xE7, 0xE7, 0xE8, 0xE8, 0xE9, 0xEA, 0xEA, 0xEB, 0xEB, 0xEC, 0xEC, 0xED, 0xED, 0xEE, 0xEE, 0xEF, 0xF0, 0xF0, 0xF1, 0xF1, 0xF2, 0xF2, 0xF3, 0xF3, 0xF4, 0xF4, 0xF5, 0xF5, 0xF6, 0xF6, 0xF7, 0xF7, 0xF8, 0xF8, 0xF9, 0xF9, 0xFA, 0xFA, 0xFB, 0xFB, 0xFC, 0xFC, 0xFD, 0xFD, 0xFE, 0xFE, 0xFF }; private static readonly byte[] ATAN_TABLE = { 0x00, 0x00, 0x01, 0x01, 0x02, 0x02, 0x03, 0x03, 0x04, 0x04, 0x04, 0x05, 0x05, 0x06, 0x06, 0x07, 0x07, 0x08, 0x08, 0x08, 0x09, 0x09, 0x0A, 0x0A, 0x0B, 0x0B, 0x0B, 0x0C, 0x0C, 0x0D, 0x0D, 0x0E, 0x0E, 0x0E, 0x0F, 0x0F, 0x10, 0x10, 0x11, 0x11, 0x11, 0x12, 0x12, 0x13, 0x13, 0x13, 0x14, 0x14, 0x15, 0x15, 0x15, 0x16, 0x16, 0x16, 0x17, 0x17, 0x18, 0x18, 0x18, 0x19, 0x19, 0x19, 0x1A, 0x1A, 0x1B, 0x1B, 0x1B, 0x1C, 0x1C, 0x1C, 0x1D, 0x1D, 0x1D, 0x1E, 0x1E, 0x1E, 0x1F, 0x1F, 0x1F, 0x20, 0x20, 0x20, 0x21, 0x21, 0x21, 0x22, 0x22, 0x22, 0x23, 0x23, 0x23, 0x23, 0x24, 0x24, 0x24, 0x25, 0x25, 0x25, 0x25, 0x26, 0x26, 0x26, 0x27, 0x27, 0x27, 0x27, 0x28, 0x28, 0x28, 0x28, 0x29, 0x29, 0x29, 0x29, 0x2A, 0x2A, 0x2A, 0x2A, 0x2B, 0x2B, 0x2B, 0x2B, 0x2C, 0x2C, 0x2C, 0x2C, 0x2D, 0x2D, 0x2D }; private static readonly int[] SIN_TABLE = { 0x0000, 0x0012, 0x0024, 0x0036, 0x0047, 0x0059, 0x006B, 0x007D, 0x008F, 0x00A0, 0x00B2, 0x00C3, 0x00D5, 0x00E6, 0x00F8, 0x0109, 0x011A, 0x012B, 0x013C, 0x014D, 0x015E, 0x016F, 0x0180, 0x0190, 0x01A0, 0x01B1, 0x01C1, 0x01D1, 0x01E1, 0x01F0, 0x0200, 0x020F, 0x021F, 0x022E, 0x023D, 0x024B, 0x025A, 0x0268, 0x0276, 0x0284, 0x0292, 0x02A0, 0x02AD, 0x02BA, 0x02C7, 0x02D4, 0x02E1, 0x02ED, 0x02F9, 0x0305, 0x0310, 0x031C, 0x0327, 0x0332, 0x033C, 0x0347, 0x0351, 0x035B, 0x0364, 0x036E, 0x0377, 0x0380, 0x0388, 0x0390, 0x0398, 0x03A0, 0x03A7, 0x03AF, 0x03B5, 0x03BC, 0x03C2, 0x03C8, 0x03CE, 0x03D3, 0x03D8, 0x03DD, 0x03E2, 0x03E6, 0x03EA, 0x03ED, 0x03F0, 0x03F3, 0x03F6, 0x03F8, 0x03FA, 0x03FC, 0x03FE, 0x03FF, 0x03FF, 0x0400, 0x0400 }; public static int Abs(int value) { if (value < 0) { return -value; } return value; } public static int Cos(int angle) { return LogicMath.Sin(angle + 90); } public static int Cos(int angleA, int angleB) { return LogicMath.Sin(angleA + 90, angleB); } public static int GetAngle(int x, int y) { if (x == 0 && y == 0) { return 0; } if (x > 0 && y >= 0) { if (y >= x) { return 90 - LogicMath.ATAN_TABLE[(x << 7) / y]; } return LogicMath.ATAN_TABLE[(y << 7) / x]; } int num = LogicMath.Abs(x); if (x <= 0 && y > 0) { if (num < y) { return 90 + LogicMath.ATAN_TABLE[(num << 7) / y]; } return 180 - LogicMath.ATAN_TABLE[(y << 7) / num]; } int num2 = LogicMath.Abs(y); if (x < 0 && y <= 0) { if (num2 >= num) { if (num2 == 0) { return 0; } return 270 - LogicMath.ATAN_TABLE[(num << 7) / num2]; } return 180 + LogicMath.ATAN_TABLE[(num2 << 7) / num]; } if (num < num2) { return 270 + LogicMath.ATAN_TABLE[(num << 7) / num2]; } if (num == 0) { return 0; } return LogicMath.NormalizeAngle360(360 - LogicMath.ATAN_TABLE[(num2 << 7) / num]); } public static int GetAngleBetween(int angle1, int angle2) { return LogicMath.Abs(LogicMath.NormalizeAngle180(angle1 - angle2)); } public static int GetRotatedX(int x, int y, int angle) { return (x * LogicMath.Cos(angle) - y * LogicMath.Sin(angle)) / 1024; } public static int GetRotatedY(int x, int y, int angle) { return (x * LogicMath.Sin(angle) + y * LogicMath.Cos(angle)) / 1024; } public static int NormalizeAngle180(int angle) { angle = LogicMath.NormalizeAngle360(angle); if (angle >= 180) { return angle - 360; } return angle; } public static int NormalizeAngle360(int angle) { angle %= 360; if (angle < 0) { return angle + 360; } return angle; } public static int Sin(int angle) { angle = LogicMath.NormalizeAngle360(angle); if (angle < 180) { if (angle > 90) { angle = 180 - angle; } return LogicMath.SIN_TABLE[angle]; } angle -= 180; if (angle > 90) { angle = 180 - angle; } return -LogicMath.SIN_TABLE[angle]; } public static int Sin(int angleA, int angleB) { angleA = LogicMath.NormalizeAngle360(angleA); if (angleA < 180) { if (angleA > 90) { angleA = 180 - angleA; } return LogicMath.SIN_TABLE[angleA] * angleB / 1024; } angleA -= 180; if (angleA > 90) { angleA = 180 - angleA; } return -LogicMath.SIN_TABLE[angleA] * angleB / 1024; } public static int Sqrt(int value) { fixed (byte* sqrtTable = LogicMath.SQRT_TABLE) { if (value >= 0x10000) { int num; if (value >= 0x1000000) { if (value >= 0x10000000) { if (value >= 0x40000000) { if (value == 0x7FFFFFFF) { return 0xFFFF; } num = sqrtTable[value >> 24] << 8; } else { num = sqrtTable[value >> 22] << 7; } } else if (value >= 0x4000000) { num = sqrtTable[value >> 20] << 6; } else { num = sqrtTable[value >> 18] << 5; } num = (num + 1 + value / num) >> 1; num = (num + 1 + value / num) >> 1; return num * num <= value ? num : num - 1; } if (value >= 0x100000) { if (value >= 0x400000) { num = sqrtTable[value >> 16] << 4; } else { num = sqrtTable[value >> 14] << 3; } } else if (value >= 0x40000) { num = sqrtTable[value >> 12] << 2; } else { num = sqrtTable[value >> 10] << 1; } num = (num + 1 + value / num) >> 1; return num * num <= value ? num : num - 1; } if (value >= 0x100) { int num; if (value >= 0x1000) { if (value >= 0x4000) { num = sqrtTable[value >> 8] + 1; } else { num = (sqrtTable[value >> 6] >> 1) + 1; } } else if (value >= 0x400) { num = (sqrtTable[value >> 4] >> 2) + 1; } else { num = (sqrtTable[value >> 2] >> 3) + 1; } return num * num <= value ? num : num - 1; } if (value >= 0) { return sqrtTable[value] >> 4; } return -1; } } public static int Clamp(int clampValue, int minValue, int maxValue) { if (clampValue >= maxValue) { return maxValue; } if (clampValue <= minValue) { return minValue; } return clampValue; } public static int Max(int valueA, int valueB) { if (valueA >= valueB) { return valueA; } return valueB; } public static int Min(int valueA, int valueB) { if (valueA <= valueB) { return valueA; } return valueB; } public static int GetRadius(int x, int y) { x = LogicMath.Abs(x); y = LogicMath.Abs(y); int maxValue = LogicMath.Max(x, y); int minValue = LogicMath.Min(x, y); return maxValue + (53 * minValue >> 7); } } }