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fft_const.go
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fft_const.go
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package internal
import (
"github.com/cloudflare/circl/math/gf2e12"
"github.com/cloudflare/circl/math/gf2e13"
)
var ButterfliesReversal4096 = [64]byte{
0, 32, 16, 48, 8, 40, 24, 56,
4, 36, 20, 52, 12, 44, 28, 60,
2, 34, 18, 50, 10, 42, 26, 58,
6, 38, 22, 54, 14, 46, 30, 62,
1, 33, 17, 49, 9, 41, 25, 57,
5, 37, 21, 53, 13, 45, 29, 61,
3, 35, 19, 51, 11, 43, 27, 59,
7, 39, 23, 55, 15, 47, 31, 63,
}
var ButterfliesReversal = [128]byte{
0, 64, 32, 96, 16, 80, 48, 112,
8, 72, 40, 104, 24, 88, 56, 120,
4, 68, 36, 100, 20, 84, 52, 116,
12, 76, 44, 108, 28, 92, 60, 124,
2, 66, 34, 98, 18, 82, 50, 114,
10, 74, 42, 106, 26, 90, 58, 122,
6, 70, 38, 102, 22, 86, 54, 118,
14, 78, 46, 110, 30, 94, 62, 126,
1, 65, 33, 97, 17, 81, 49, 113,
9, 73, 41, 105, 25, 89, 57, 121,
5, 69, 37, 101, 21, 85, 53, 117,
13, 77, 45, 109, 29, 93, 61, 125,
3, 67, 35, 99, 19, 83, 51, 115,
11, 75, 43, 107, 27, 91, 59, 123,
7, 71, 39, 103, 23, 87, 55, 119,
15, 79, 47, 111, 31, 95, 63, 127,
}
var ButterfliesBeta = [7]uint16{2522, 7827, 7801, 8035, 6897, 8167, 3476}
var RadixConversionsMask = [5][2]uint64{
{0x8888888888888888, 0x4444444444444444},
{0xC0C0C0C0C0C0C0C0, 0x3030303030303030},
{0xF000F000F000F000, 0x0F000F000F000F00},
{0xFF000000FF000000, 0x00FF000000FF0000},
{0xFFFF000000000000, 0x0000FFFF00000000},
}
var ButterfliesConst = [128][gf2e13.Bits]uint64{
{
0x6969969669699696,
0x9966669966999966,
0x9966669966999966,
0xFF0000FF00FFFF00,
0xCC3333CCCC3333CC,
0x9966669966999966,
0x6666666666666666,
0xA55AA55AA55AA55A,
0xCCCC33333333CCCC,
0x5A5A5A5A5A5A5A5A,
0x55AAAA55AA5555AA,
0x0FF0F00FF00F0FF0,
0x5AA55AA5A55AA55A,
},
{
0x6969969669699696,
0x9966669966999966,
0x9966669966999966,
0xFF0000FF00FFFF00,
0xCC3333CCCC3333CC,
0x9966669966999966,
0x6666666666666666,
0xA55AA55AA55AA55A,
0xCCCC33333333CCCC,
0x5A5A5A5A5A5A5A5A,
0x55AAAA55AA5555AA,
0x0FF0F00FF00F0FF0,
0x5AA55AA5A55AA55A,
},
{
0xA55A5AA55AA5A55A,
0x6969696996969696,
0x5AA55AA5A55AA55A,
0x9999999966666666,
0x3C3CC3C3C3C33C3C,
0xFFFF0000FFFF0000,
0x0000000000000000,
0xCC33CC3333CC33CC,
0x0000000000000000,
0x3C3C3C3C3C3C3C3C,
0xAA5555AAAA5555AA,
0xC33C3CC33CC3C33C,
0x00FFFF0000FFFF00,
},
{
0xA55A5AA55AA5A55A,
0x6969696996969696,
0x5AA55AA5A55AA55A,
0x6666666699999999,
0xC3C33C3C3C3CC3C3,
0x0000FFFF0000FFFF,
0x0000000000000000,
0x33CC33CCCC33CC33,
0x0000000000000000,
0x3C3C3C3C3C3C3C3C,
0xAA5555AAAA5555AA,
0xC33C3CC33CC3C33C,
0xFF0000FFFF0000FF,
},
{
0xFFFFFFFF00000000,
0xA5A5A5A55A5A5A5A,
0x0FF0F00FF00F0FF0,
0x9669966969966996,
0x0000FFFFFFFF0000,
0x33333333CCCCCCCC,
0xA55A5AA55AA5A55A,
0x00FFFF0000FFFF00,
0x0000000000000000,
0xC33CC33CC33CC33C,
0x0F0FF0F00F0FF0F0,
0xCCCCCCCCCCCCCCCC,
0xAAAA55555555AAAA,
},
{
0xFFFFFFFF00000000,
0xA5A5A5A55A5A5A5A,
0x0FF0F00FF00F0FF0,
0x6996699696699669,
0xFFFF00000000FFFF,
0x33333333CCCCCCCC,
0x5AA5A55AA55A5AA5,
0xFF0000FFFF0000FF,
0xFFFFFFFFFFFFFFFF,
0xC33CC33CC33CC33C,
0x0F0FF0F00F0FF0F0,
0xCCCCCCCCCCCCCCCC,
0x5555AAAAAAAA5555,
},
{
0xFFFFFFFF00000000,
0x5A5A5A5AA5A5A5A5,
0xF00F0FF00FF0F00F,
0x6996699696699669,
0x0000FFFFFFFF0000,
0x33333333CCCCCCCC,
0x5AA5A55AA55A5AA5,
0xFF0000FFFF0000FF,
0xFFFFFFFFFFFFFFFF,
0xC33CC33CC33CC33C,
0x0F0FF0F00F0FF0F0,
0xCCCCCCCCCCCCCCCC,
0xAAAA55555555AAAA,
},
{
0xFFFFFFFF00000000,
0x5A5A5A5AA5A5A5A5,
0xF00F0FF00FF0F00F,
0x9669966969966996,
0xFFFF00000000FFFF,
0x33333333CCCCCCCC,
0xA55A5AA55AA5A55A,
0x00FFFF0000FFFF00,
0x0000000000000000,
0xC33CC33CC33CC33C,
0x0F0FF0F00F0FF0F0,
0xCCCCCCCCCCCCCCCC,
0x5555AAAAAAAA5555,
},
{
0xC33C3CC33CC3C33C,
0x9966669966999966,
0x9966996699669966,
0x6969969669699696,
0xAA55AA5555AA55AA,
0x9966996699669966,
0x5AA5A55A5AA5A55A,
0xC3C3C3C33C3C3C3C,
0x3CC33CC3C33CC33C,
0x3333CCCC3333CCCC,
0x9999999966666666,
0xC33CC33CC33CC33C,
0x6666999999996666,
},
{
0x3CC3C33CC33C3CC3,
0x6699996699666699,
0x6699669966996699,
0x6969969669699696,
0xAA55AA5555AA55AA,
0x9966996699669966,
0xA55A5AA5A55A5AA5,
0xC3C3C3C33C3C3C3C,
0x3CC33CC3C33CC33C,
0x3333CCCC3333CCCC,
0x6666666699999999,
0x3CC33CC33CC33CC3,
0x9999666666669999,
},
{
0xC33C3CC33CC3C33C,
0x9966669966999966,
0x6699669966996699,
0x6969969669699696,
0xAA55AA5555AA55AA,
0x6699669966996699,
0x5AA5A55A5AA5A55A,
0x3C3C3C3CC3C3C3C3,
0xC33CC33C3CC33CC3,
0xCCCC3333CCCC3333,
0x6666666699999999,
0xC33CC33CC33CC33C,
0x9999666666669999,
},
{
0x3CC3C33CC33C3CC3,
0x6699996699666699,
0x9966996699669966,
0x6969969669699696,
0xAA55AA5555AA55AA,
0x6699669966996699,
0xA55A5AA5A55A5AA5,
0x3C3C3C3CC3C3C3C3,
0xC33CC33C3CC33CC3,
0xCCCC3333CCCC3333,
0x9999999966666666,
0x3CC33CC33CC33CC3,
0x6666999999996666,
},
{
0xC33C3CC33CC3C33C,
0x6699996699666699,
0x6699669966996699,
0x6969969669699696,
0x55AA55AAAA55AA55,
0x9966996699669966,
0x5AA5A55A5AA5A55A,
0xC3C3C3C33C3C3C3C,
0xC33CC33C3CC33CC3,
0x3333CCCC3333CCCC,
0x9999999966666666,
0xC33CC33CC33CC33C,
0x6666999999996666,
},
{
0x3CC3C33CC33C3CC3,
0x9966669966999966,
0x9966996699669966,
0x6969969669699696,
0x55AA55AAAA55AA55,
0x9966996699669966,
0xA55A5AA5A55A5AA5,
0xC3C3C3C33C3C3C3C,
0xC33CC33C3CC33CC3,
0x3333CCCC3333CCCC,
0x6666666699999999,
0x3CC33CC33CC33CC3,
0x9999666666669999,
},
{
0xC33C3CC33CC3C33C,
0x6699996699666699,
0x9966996699669966,
0x6969969669699696,
0x55AA55AAAA55AA55,
0x6699669966996699,
0x5AA5A55A5AA5A55A,
0x3C3C3C3CC3C3C3C3,
0x3CC33CC3C33CC33C,
0xCCCC3333CCCC3333,
0x6666666699999999,
0xC33CC33CC33CC33C,
0x9999666666669999,
},
{
0x3CC3C33CC33C3CC3,
0x9966669966999966,
0x6699669966996699,
0x6969969669699696,
0x55AA55AAAA55AA55,
0x6699669966996699,
0xA55A5AA5A55A5AA5,
0x3C3C3C3CC3C3C3C3,
0x3CC33CC3C33CC33C,
0xCCCC3333CCCC3333,
0x9999999966666666,
0x3CC33CC33CC33CC3,
0x6666999999996666,
},
{
0x3C3CC3C3C3C33C3C,
0x55555555AAAAAAAA,
0xF00FF00F0FF00FF0,
0x5AA55AA5A55AA55A,
0x55AAAA55AA5555AA,
0xF00F0FF0F00F0FF0,
0x9669699696696996,
0xA55AA55AA55AA55A,
0x55555555AAAAAAAA,
0xCCCC33333333CCCC,
0x0000FFFFFFFF0000,
0xFF0000FF00FFFF00,
0x6996699669966996,
},
{
0xC3C33C3C3C3CC3C3,
0x55555555AAAAAAAA,
0x0FF00FF0F00FF00F,
0x5AA55AA5A55AA55A,
0x55AAAA55AA5555AA,
0xF00F0FF0F00F0FF0,
0x9669699696696996,
0x5AA55AA55AA55AA5,
0x55555555AAAAAAAA,
0x3333CCCCCCCC3333,
0x0000FFFFFFFF0000,
0x00FFFF00FF0000FF,
0x9669966996699669,
},
{
0x3C3CC3C3C3C33C3C,
0x55555555AAAAAAAA,
0xF00FF00F0FF00FF0,
0xA55AA55A5AA55AA5,
0xAA5555AA55AAAA55,
0x0FF0F00F0FF0F00F,
0x9669699696696996,
0x5AA55AA55AA55AA5,
0xAAAAAAAA55555555,
0x3333CCCCCCCC3333,
0xFFFF00000000FFFF,
0xFF0000FF00FFFF00,
0x9669966996699669,
},
{
0xC3C33C3C3C3CC3C3,
0x55555555AAAAAAAA,
0x0FF00FF0F00FF00F,
0xA55AA55A5AA55AA5,
0xAA5555AA55AAAA55,
0x0FF0F00F0FF0F00F,
0x9669699696696996,
0xA55AA55AA55AA55A,
0xAAAAAAAA55555555,
0xCCCC33333333CCCC,
0xFFFF00000000FFFF,
0x00FFFF00FF0000FF,
0x6996699669966996,
},
{
0x3C3CC3C3C3C33C3C,
0x55555555AAAAAAAA,
0x0FF00FF0F00FF00F,
0xA55AA55A5AA55AA5,
0xAA5555AA55AAAA55,
0x0FF0F00F0FF0F00F,
0x6996966969969669,
0xA55AA55AA55AA55A,
0xAAAAAAAA55555555,
0xCCCC33333333CCCC,
0x0000FFFFFFFF0000,
0xFF0000FF00FFFF00,
0x6996699669966996,
},
{
0xC3C33C3C3C3CC3C3,
0x55555555AAAAAAAA,
0xF00FF00F0FF00FF0,
0xA55AA55A5AA55AA5,
0xAA5555AA55AAAA55,
0x0FF0F00F0FF0F00F,
0x6996966969969669,
0x5AA55AA55AA55AA5,
0xAAAAAAAA55555555,
0x3333CCCCCCCC3333,
0x0000FFFFFFFF0000,
0x00FFFF00FF0000FF,
0x9669966996699669,
},
{
0x3C3CC3C3C3C33C3C,
0x55555555AAAAAAAA,
0x0FF00FF0F00FF00F,
0x5AA55AA5A55AA55A,
0x55AAAA55AA5555AA,
0xF00F0FF0F00F0FF0,
0x6996966969969669,
0x5AA55AA55AA55AA5,
0x55555555AAAAAAAA,
0x3333CCCCCCCC3333,
0xFFFF00000000FFFF,
0xFF0000FF00FFFF00,
0x9669966996699669,
},
{
0xC3C33C3C3C3CC3C3,
0x55555555AAAAAAAA,
0xF00FF00F0FF00FF0,
0x5AA55AA5A55AA55A,
0x55AAAA55AA5555AA,
0xF00F0FF0F00F0FF0,
0x6996966969969669,
0xA55AA55AA55AA55A,
0x55555555AAAAAAAA,
0xCCCC33333333CCCC,
0xFFFF00000000FFFF,
0x00FFFF00FF0000FF,
0x6996699669966996,
},
{
0x3C3CC3C3C3C33C3C,
0xAAAAAAAA55555555,
0x0FF00FF0F00FF00F,
0x5AA55AA5A55AA55A,
0xAA5555AA55AAAA55,
0xF00F0FF0F00F0FF0,
0x9669699696696996,
0xA55AA55AA55AA55A,
0x55555555AAAAAAAA,
0xCCCC33333333CCCC,
0x0000FFFFFFFF0000,
0xFF0000FF00FFFF00,
0x6996699669966996,
},
{
0xC3C33C3C3C3CC3C3,
0xAAAAAAAA55555555,
0xF00FF00F0FF00FF0,
0x5AA55AA5A55AA55A,
0xAA5555AA55AAAA55,
0xF00F0FF0F00F0FF0,
0x9669699696696996,
0x5AA55AA55AA55AA5,
0x55555555AAAAAAAA,
0x3333CCCCCCCC3333,
0x0000FFFFFFFF0000,
0x00FFFF00FF0000FF,
0x9669966996699669,
},
{
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