#include <avr/io.h>
#include <avr/interrupt.h>
#include <avr/pgmspace.h>

#define SINE_LENGTH 2048

const uint8_t sinewave[] PROGMEM= //2048 values
{
0x80,0x80,0x80,0x81,0x81,0x81,0x82,0x82,
0x83,0x83,0x83,0x84,0x84,0x85,0x85,0x85,
0x86,0x86,0x87,0x87,0x87,0x88,0x88,0x88,
0x89,0x89,0x8a,0x8a,0x8a,0x8b,0x8b,0x8c,
0x8c,0x8c,0x8d,0x8d,0x8e,0x8e,0x8e,0x8f,
0x8f,0x8f,0x90,0x90,0x91,0x91,0x91,0x92,
0x92,0x93,0x93,0x93,0x94,0x94,0x95,0x95,
0x95,0x96,0x96,0x96,0x97,0x97,0x98,0x98,
0x98,0x99,0x99,0x9a,0x9a,0x9a,0x9b,0x9b,
0x9b,0x9c,0x9c,0x9d,0x9d,0x9d,0x9e,0x9e,
0x9e,0x9f,0x9f,0xa0,0xa0,0xa0,0xa1,0xa1,
0xa2,0xa2,0xa2,0xa3,0xa3,0xa3,0xa4,0xa4,
0xa5,0xa5,0xa5,0xa6,0xa6,0xa6,0xa7,0xa7,
0xa7,0xa8,0xa8,0xa9,0xa9,0xa9,0xaa,0xaa,
0xaa,0xab,0xab,0xac,0xac,0xac,0xad,0xad,
0xad,0xae,0xae,0xae,0xaf,0xaf,0xb0,0xb0,
0xb0,0xb1,0xb1,0xb1,0xb2,0xb2,0xb2,0xb3,
0xb3,0xb4,0xb4,0xb4,0xb5,0xb5,0xb5,0xb6,
0xb6,0xb6,0xb7,0xb7,0xb7,0xb8,0xb8,0xb8,
0xb9,0xb9,0xba,0xba,0xba,0xbb,0xbb,0xbb,
0xbc,0xbc,0xbc,0xbd,0xbd,0xbd,0xbe,0xbe,
0xbe,0xbf,0xbf,0xbf,0xc0,0xc0,0xc0,0xc1,
0xc1,0xc1,0xc2,0xc2,0xc2,0xc3,0xc3,0xc3,
0xc4,0xc4,0xc4,0xc5,0xc5,0xc5,0xc6,0xc6,
0xc6,0xc7,0xc7,0xc7,0xc8,0xc8,0xc8,0xc9,
0xc9,0xc9,0xca,0xca,0xca,0xcb,0xcb,0xcb,
0xcb,0xcc,0xcc,0xcc,0xcd,0xcd,0xcd,0xce,
0xce,0xce,0xcf,0xcf,0xcf,0xcf,0xd0,0xd0,
0xd0,0xd1,0xd1,0xd1,0xd2,0xd2,0xd2,0xd2,
0xd3,0xd3,0xd3,0xd4,0xd4,0xd4,0xd5,0xd5,
0xd5,0xd5,0xd6,0xd6,0xd6,0xd7,0xd7,0xd7,
0xd7,0xd8,0xd8,0xd8,0xd9,0xd9,0xd9,0xd9,
0xda,0xda,0xda,0xda,0xdb,0xdb,0xdb,0xdc,
0xdc,0xdc,0xdc,0xdd,0xdd,0xdd,0xdd,0xde,
0xde,0xde,0xde,0xdf,0xdf,0xdf,0xe0,0xe0,
0xe0,0xe0,0xe1,0xe1,0xe1,0xe1,0xe2,0xe2,
0xe2,0xe2,0xe3,0xe3,0xe3,0xe3,0xe4,0xe4,
0xe4,0xe4,0xe4,0xe5,0xe5,0xe5,0xe5,0xe6,
0xe6,0xe6,0xe6,0xe7,0xe7,0xe7,0xe7,0xe8,
0xe8,0xe8,0xe8,0xe8,0xe9,0xe9,0xe9,0xe9,
0xea,0xea,0xea,0xea,0xea,0xeb,0xeb,0xeb,
0xeb,0xeb,0xec,0xec,0xec,0xec,0xec,0xed,
0xed,0xed,0xed,0xed,0xee,0xee,0xee,0xee,
0xee,0xef,0xef,0xef,0xef,0xef,0xf0,0xf0,
0xf0,0xf0,0xf0,0xf0,0xf1,0xf1,0xf1,0xf1,
0xf1,0xf2,0xf2,0xf2,0xf2,0xf2,0xf2,0xf3,
0xf3,0xf3,0xf3,0xf3,0xf3,0xf4,0xf4,0xf4,
0xf4,0xf4,0xf4,0xf5,0xf5,0xf5,0xf5,0xf5,
0xf5,0xf5,0xf6,0xf6,0xf6,0xf6,0xf6,0xf6,
0xf6,0xf7,0xf7,0xf7,0xf7,0xf7,0xf7,0xf7,
0xf8,0xf8,0xf8,0xf8,0xf8,0xf8,0xf8,0xf8,
0xf9,0xf9,0xf9,0xf9,0xf9,0xf9,0xf9,0xf9,
0xfa,0xfa,0xfa,0xfa,0xfa,0xfa,0xfa,0xfa,
0xfa,0xfa,0xfb,0xfb,0xfb,0xfb,0xfb,0xfb,
0xfb,0xfb,0xfb,0xfb,0xfc,0xfc,0xfc,0xfc,
0xfc,0xfc,0xfc,0xfc,0xfc,0xfc,0xfc,0xfc,
0xfd,0xfd,0xfd,0xfd,0xfd,0xfd,0xfd,0xfd,
0xfd,0xfd,0xfd,0xfd,0xfd,0xfd,0xfe,0xfe,
0xfe,0xfe,0xfe,0xfe,0xfe,0xfe,0xfe,0xfe,
0xfe,0xfe,0xfe,0xfe,0xfe,0xfe,0xfe,0xfe,
0xfe,0xfe,0xfe,0xfe,0xff,0xff,0xff,0xff,
0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,
0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,
0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,
0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,
0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,
0xff,0xff,0xff,0xff,0xff,0xff,0xff,0xff,
0xff,0xff,0xff,0xff,0xff,0xfe,0xfe,0xfe,
0xfe,0xfe,0xfe,0xfe,0xfe,0xfe,0xfe,0xfe,
0xfe,0xfe,0xfe,0xfe,0xfe,0xfe,0xfe,0xfe,
0xfe,0xfe,0xfe,0xfd,0xfd,0xfd,0xfd,0xfd,
0xfd,0xfd,0xfd,0xfd,0xfd,0xfd,0xfd,0xfd,
0xfd,0xfc,0xfc,0xfc,0xfc,0xfc,0xfc,0xfc,
0xfc,0xfc,0xfc,0xfc,0xfc,0xfb,0xfb,0xfb,
0xfb,0xfb,0xfb,0xfb,0xfb,0xfb,0xfb,0xfa,
0xfa,0xfa,0xfa,0xfa,0xfa,0xfa,0xfa,0xfa,
0xfa,0xf9,0xf9,0xf9,0xf9,0xf9,0xf9,0xf9,
0xf9,0xf8,0xf8,0xf8,0xf8,0xf8,0xf8,0xf8,
0xf8,0xf7,0xf7,0xf7,0xf7,0xf7,0xf7,0xf7,
0xf6,0xf6,0xf6,0xf6,0xf6,0xf6,0xf6,0xf5,
0xf5,0xf5,0xf5,0xf5,0xf5,0xf5,0xf4,0xf4,
0xf4,0xf4,0xf4,0xf4,0xf3,0xf3,0xf3,0xf3,
0xf3,0xf3,0xf2,0xf2,0xf2,0xf2,0xf2,0xf2,
0xf1,0xf1,0xf1,0xf1,0xf1,0xf0,0xf0,0xf0,
0xf0,0xf0,0xf0,0xef,0xef,0xef,0xef,0xef,
0xee,0xee,0xee,0xee,0xee,0xed,0xed,0xed,
0xed,0xed,0xec,0xec,0xec,0xec,0xec,0xeb,
0xeb,0xeb,0xeb,0xeb,0xea,0xea,0xea,0xea,
0xea,0xe9,0xe9,0xe9,0xe9,0xe8,0xe8,0xe8,
0xe8,0xe8,0xe7,0xe7,0xe7,0xe7,0xe6,0xe6,
0xe6,0xe6,0xe5,0xe5,0xe5,0xe5,0xe4,0xe4,
0xe4,0xe4,0xe4,0xe3,0xe3,0xe3,0xe3,0xe2,
0xe2,0xe2,0xe2,0xe1,0xe1,0xe1,0xe1,0xe0,
0xe0,0xe0,0xe0,0xdf,0xdf,0xdf,0xde,0xde,
0xde,0xde,0xdd,0xdd,0xdd,0xdd,0xdc,0xdc,
0xdc,0xdc,0xdb,0xdb,0xdb,0xda,0xda,0xda,
0xda,0xd9,0xd9,0xd9,0xd9,0xd8,0xd8,0xd8,
0xd7,0xd7,0xd7,0xd7,0xd6,0xd6,0xd6,0xd5,
0xd5,0xd5,0xd5,0xd4,0xd4,0xd4,0xd3,0xd3,
0xd3,0xd2,0xd2,0xd2,0xd2,0xd1,0xd1,0xd1,
0xd0,0xd0,0xd0,0xcf,0xcf,0xcf,0xcf,0xce,
0xce,0xce,0xcd,0xcd,0xcd,0xcc,0xcc,0xcc,
0xcb,0xcb,0xcb,0xcb,0xca,0xca,0xca,0xc9,
0xc9,0xc9,0xc8,0xc8,0xc8,0xc7,0xc7,0xc7,
0xc6,0xc6,0xc6,0xc5,0xc5,0xc5,0xc4,0xc4,
0xc4,0xc3,0xc3,0xc3,0xc2,0xc2,0xc2,0xc1,
0xc1,0xc1,0xc0,0xc0,0xc0,0xbf,0xbf,0xbf,
0xbe,0xbe,0xbe,0xbd,0xbd,0xbd,0xbc,0xbc,
0xbc,0xbb,0xbb,0xbb,0xba,0xba,0xba,0xb9,
0xb9,0xb8,0xb8,0xb8,0xb7,0xb7,0xb7,0xb6,
0xb6,0xb6,0xb5,0xb5,0xb5,0xb4,0xb4,0xb4,
0xb3,0xb3,0xb2,0xb2,0xb2,0xb1,0xb1,0xb1,
0xb0,0xb0,0xb0,0xaf,0xaf,0xae,0xae,0xae,
0xad,0xad,0xad,0xac,0xac,0xac,0xab,0xab,
0xaa,0xaa,0xaa,0xa9,0xa9,0xa9,0xa8,0xa8,
0xa7,0xa7,0xa7,0xa6,0xa6,0xa6,0xa5,0xa5,
0xa5,0xa4,0xa4,0xa3,0xa3,0xa3,0xa2,0xa2,
0xa2,0xa1,0xa1,0xa0,0xa0,0xa0,0x9f,0x9f,
0x9e,0x9e,0x9e,0x9d,0x9d,0x9d,0x9c,0x9c,
0x9b,0x9b,0x9b,0x9a,0x9a,0x9a,0x99,0x99,
0x98,0x98,0x98,0x97,0x97,0x96,0x96,0x96,
0x95,0x95,0x95,0x94,0x94,0x93,0x93,0x93,
0x92,0x92,0x91,0x91,0x91,0x90,0x90,0x8f,
0x8f,0x8f,0x8e,0x8e,0x8e,0x8d,0x8d,0x8c,
0x8c,0x8c,0x8b,0x8b,0x8a,0x8a,0x8a,0x89,
0x89,0x88,0x88,0x88,0x87,0x87,0x87,0x86,
0x86,0x85,0x85,0x85,0x84,0x84,0x83,0x83,
0x83,0x82,0x82,0x81,0x81,0x81,0x80,0x80,
0x80,0x7f,0x7f,0x7e,0x7e,0x7e,0x7d,0x7d,
0x7c,0x7c,0x7c,0x7b,0x7b,0x7a,0x7a,0x7a,
0x79,0x79,0x78,0x78,0x78,0x77,0x77,0x77,
0x76,0x76,0x75,0x75,0x75,0x74,0x74,0x73,
0x73,0x73,0x72,0x72,0x71,0x71,0x71,0x70,
0x70,0x70,0x6f,0x6f,0x6e,0x6e,0x6e,0x6d,
0x6d,0x6c,0x6c,0x6c,0x6b,0x6b,0x6a,0x6a,
0x6a,0x69,0x69,0x69,0x68,0x68,0x67,0x67,
0x67,0x66,0x66,0x65,0x65,0x65,0x64,0x64,
0x64,0x63,0x63,0x62,0x62,0x62,0x61,0x61,
0x61,0x60,0x60,0x5f,0x5f,0x5f,0x5e,0x5e,
0x5d,0x5d,0x5d,0x5c,0x5c,0x5c,0x5b,0x5b,
0x5a,0x5a,0x5a,0x59,0x59,0x59,0x58,0x58,
0x58,0x57,0x57,0x56,0x56,0x56,0x55,0x55,
0x55,0x54,0x54,0x53,0x53,0x53,0x52,0x52,
0x52,0x51,0x51,0x51,0x50,0x50,0x4f,0x4f,
0x4f,0x4e,0x4e,0x4e,0x4d,0x4d,0x4d,0x4c,
0x4c,0x4b,0x4b,0x4b,0x4a,0x4a,0x4a,0x49,
0x49,0x49,0x48,0x48,0x48,0x47,0x47,0x47,
0x46,0x46,0x45,0x45,0x45,0x44,0x44,0x44,
0x43,0x43,0x43,0x42,0x42,0x42,0x41,0x41,
0x41,0x40,0x40,0x40,0x3f,0x3f,0x3f,0x3e,
0x3e,0x3e,0x3d,0x3d,0x3d,0x3c,0x3c,0x3c,
0x3b,0x3b,0x3b,0x3a,0x3a,0x3a,0x39,0x39,
0x39,0x38,0x38,0x38,0x37,0x37,0x37,0x36,
0x36,0x36,0x35,0x35,0x35,0x34,0x34,0x34,
0x34,0x33,0x33,0x33,0x32,0x32,0x32,0x31,
0x31,0x31,0x30,0x30,0x30,0x30,0x2f,0x2f,
0x2f,0x2e,0x2e,0x2e,0x2d,0x2d,0x2d,0x2d,
0x2c,0x2c,0x2c,0x2b,0x2b,0x2b,0x2a,0x2a,
0x2a,0x2a,0x29,0x29,0x29,0x28,0x28,0x28,
0x28,0x27,0x27,0x27,0x26,0x26,0x26,0x26,
0x25,0x25,0x25,0x25,0x24,0x24,0x24,0x23,
0x23,0x23,0x23,0x22,0x22,0x22,0x22,0x21,
0x21,0x21,0x21,0x20,0x20,0x20,0x1f,0x1f,
0x1f,0x1f,0x1e,0x1e,0x1e,0x1e,0x1d,0x1d,
0x1d,0x1d,0x1c,0x1c,0x1c,0x1c,0x1b,0x1b,
0x1b,0x1b,0x1b,0x1a,0x1a,0x1a,0x1a,0x19,
0x19,0x19,0x19,0x18,0x18,0x18,0x18,0x17,
0x17,0x17,0x17,0x17,0x16,0x16,0x16,0x16,
0x15,0x15,0x15,0x15,0x15,0x14,0x14,0x14,
0x14,0x14,0x13,0x13,0x13,0x13,0x13,0x12,
0x12,0x12,0x12,0x12,0x11,0x11,0x11,0x11,
0x11,0x10,0x10,0x10,0x10,0x10,0xf,0xf,
0xf,0xf,0xf,0xf,0xe,0xe,0xe,0xe,
0xe,0xd,0xd,0xd,0xd,0xd,0xd,0xc,
0xc,0xc,0xc,0xc,0xc,0xb,0xb,0xb,
0xb,0xb,0xb,0xa,0xa,0xa,0xa,0xa,
0xa,0xa,0x9,0x9,0x9,0x9,0x9,0x9,
0x9,0x8,0x8,0x8,0x8,0x8,0x8,0x8,
0x7,0x7,0x7,0x7,0x7,0x7,0x7,0x7,
0x6,0x6,0x6,0x6,0x6,0x6,0x6,0x6,
0x5,0x5,0x5,0x5,0x5,0x5,0x5,0x5,
0x5,0x5,0x4,0x4,0x4,0x4,0x4,0x4,
0x4,0x4,0x4,0x4,0x3,0x3,0x3,0x3,
0x3,0x3,0x3,0x3,0x3,0x3,0x3,0x3,
0x2,0x2,0x2,0x2,0x2,0x2,0x2,0x2,
0x2,0x2,0x2,0x2,0x2,0x2,0x1,0x1,
0x1,0x1,0x1,0x1,0x1,0x1,0x1,0x1,
0x1,0x1,0x1,0x1,0x1,0x1,0x1,0x1,
0x1,0x1,0x1,0x1,0x0,0x0,0x0,0x0,
0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,
0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,
0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,
0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,
0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,
0x0,0x0,0x0,0x0,0x0,0x0,0x0,0x0,
0x0,0x0,0x0,0x0,0x0,0x1,0x1,0x1,
0x1,0x1,0x1,0x1,0x1,0x1,0x1,0x1,
0x1,0x1,0x1,0x1,0x1,0x1,0x1,0x1,
0x1,0x1,0x1,0x2,0x2,0x2,0x2,0x2,
0x2,0x2,0x2,0x2,0x2,0x2,0x2,0x2,
0x2,0x3,0x3,0x3,0x3,0x3,0x3,0x3,
0x3,0x3,0x3,0x3,0x3,0x4,0x4,0x4,
0x4,0x4,0x4,0x4,0x4,0x4,0x4,0x5,
0x5,0x5,0x5,0x5,0x5,0x5,0x5,0x5,
0x5,0x6,0x6,0x6,0x6,0x6,0x6,0x6,
0x6,0x7,0x7,0x7,0x7,0x7,0x7,0x7,
0x7,0x8,0x8,0x8,0x8,0x8,0x8,0x8,
0x9,0x9,0x9,0x9,0x9,0x9,0x9,0xa,
0xa,0xa,0xa,0xa,0xa,0xa,0xb,0xb,
0xb,0xb,0xb,0xb,0xc,0xc,0xc,0xc,
0xc,0xc,0xd,0xd,0xd,0xd,0xd,0xd,
0xe,0xe,0xe,0xe,0xe,0xf,0xf,0xf,
0xf,0xf,0xf,0x10,0x10,0x10,0x10,0x10,
0x11,0x11,0x11,0x11,0x11,0x12,0x12,0x12,
0x12,0x12,0x13,0x13,0x13,0x13,0x13,0x14,
0x14,0x14,0x14,0x14,0x15,0x15,0x15,0x15,
0x15,0x16,0x16,0x16,0x16,0x17,0x17,0x17,
0x17,0x17,0x18,0x18,0x18,0x18,0x19,0x19,
0x19,0x19,0x1a,0x1a,0x1a,0x1a,0x1b,0x1b,
0x1b,0x1b,0x1b,0x1c,0x1c,0x1c,0x1c,0x1d,
0x1d,0x1d,0x1d,0x1e,0x1e,0x1e,0x1e,0x1f,
0x1f,0x1f,0x1f,0x20,0x20,0x20,0x21,0x21,
0x21,0x21,0x22,0x22,0x22,0x22,0x23,0x23,
0x23,0x23,0x24,0x24,0x24,0x25,0x25,0x25,
0x25,0x26,0x26,0x26,0x26,0x27,0x27,0x27,
0x28,0x28,0x28,0x28,0x29,0x29,0x29,0x2a,
0x2a,0x2a,0x2a,0x2b,0x2b,0x2b,0x2c,0x2c,
0x2c,0x2d,0x2d,0x2d,0x2d,0x2e,0x2e,0x2e,
0x2f,0x2f,0x2f,0x30,0x30,0x30,0x30,0x31,
0x31,0x31,0x32,0x32,0x32,0x33,0x33,0x33,
0x34,0x34,0x34,0x34,0x35,0x35,0x35,0x36,
0x36,0x36,0x37,0x37,0x37,0x38,0x38,0x38,
0x39,0x39,0x39,0x3a,0x3a,0x3a,0x3b,0x3b,
0x3b,0x3c,0x3c,0x3c,0x3d,0x3d,0x3d,0x3e,
0x3e,0x3e,0x3f,0x3f,0x3f,0x40,0x40,0x40,
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