ska.c

/*
Copyright (C) 2017 Ming-Shing Chen

This file is part of BitPolyMul.

BitPolyMul is free software: you can redistribute it and/or modify
it under the terms of the GNU Lesser General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.

BitPolyMul 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 Lesser General Public License for more details.

You should have received a copy of the GNU Lesser General Public License
along with BitPolyMul.  If not, see <http://www.gnu.org/licenses/>.
*/

#include "ska.h"
#include <stdint.h>
#include <stdio.h>
#include <stdlib.h>


static unsigned _s1_tab[32] __attribute__((aligned(32))) =
{0x0,0x1,0x2,0x5,0x8,0x14,0x27,0x5e,0x80,0x140,0x270,0x5e0,0x85d,0x14fb,0x278f,0x5e4a,
0x8000,0x14000,0x27000,0x5e000,0x85d00,0x14fb00,0x278f00,0x5e4a00,
0x805ede,0x140f9b9,0x27082f2,0x5e041a1,0x85d89d4,0x14fb47bc,0x278f71fe,0x5e4ae3a9,};

static inline
unsigned _s1_a(unsigned a )
{
	unsigned r = 0;
	while(a){
		r ^= _s1_tab[__builtin_ffs(a)-1];
		a &= (a-1);
	}
	return r;
}

static inline
unsigned calc_s_k_a( unsigned k , unsigned a )
{
#ifdef _EXIT_WHILE_SKA_OUT_OF_RANGE_
	printf("k(%d) a(0x%x) out of range.\n",k,a);
	exit(-1);
#endif
	unsigned r = a << (k+1);
	while( k ) {
		r = _s1_a(r);
		k--;
	}
	return r;
}



static unsigned s1_6[6][256*4] __attribute__((aligned(32))) = {
{
0x0,0x2,0x5,0x7,0x8,0xa,0xd,0xf,0x14,0x16,0x11,0x13,0x1c,0x1e,0x19,0x1b,0x27,0x25,0x22,0x20,0x2f,0x2d,0x2a,0x28,0x33,0x31,0x36,0x34,0x3b,0x39,0x3e,0x3c,0x5e,0x5c,0x5b,0x59,0x56,0x54,0x53,0x51,0x4a,0x48,0x4f,0x4d,0x42,0x40,0x47,0x45,0x79,0x7b,0x7c,0x7e,0x71,0x73,0x74,0x76,0x6d,0x6f,0x68,0x6a,0x65,0x67,0x60,0x62,0x80,0x82,0x85,0x87,0x88,0x8a,0x8d,0x8f,0x94,0x96,0x91,0x93,0x9c,0x9e,0x99,0x9b,0xa7,0xa5,0xa2,0xa0,0xaf,0xad,0xaa,0xa8,0xb3,0xb1,0xb6,0xb4,0xbb,0xb9,0xbe,0xbc,0xde,0xdc,0xdb,0xd9,0xd6,0xd4,0xd3,0xd1,0xca,0xc8,0xcf,0xcd,0xc2,0xc0,0xc7,0xc5,0xf9,0xfb,0xfc,0xfe,0xf1,0xf3,0xf4,0xf6,0xed,0xef,0xe8,0xea,0xe5,0xe7,0xe0,0xe2,0x140,0x142,0x145,0x147,0x148,0x14a,0x14d,0x14f,0x154,0x156,0x151,0x153,0x15c,0x15e,0x159,0x15b,0x167,0x165,0x162,0x160,0x16f,0x16d,0x16a,0x168,0x173,0x171,0x176,0x174,0x17b,0x179,0x17e,0x17c,0x11e,0x11c,0x11b,0x119,0x116,0x114,0x113,0x111,0x10a,0x108,0x10f,0x10d,0x102,0x100,0x107,0x105,0x139,0x13b,0x13c,0x13e,0x131,0x133,0x134,0x136,0x12d,0x12f,0x128,0x12a,0x125,0x127,0x120,0x122,0x1c0,0x1c2,0x1c5,0x1c7,0x1c8,0x1ca,0x1cd,0x1cf,0x1d4,0x1d6,0x1d1,0x1d3,0x1dc,0x1de,0x1d9,0x1db,0x1e7,0x1e5,0x1e2,0x1e0,0x1ef,0x1ed,0x1ea,0x1e8,0x1f3,0x1f1,0x1f6,0x1f4,0x1fb,0x1f9,0x1fe,0x1fc,0x19e,0x19c,0x19b,0x199,0x196,0x194,0x193,0x191,0x18a,0x188,0x18f,0x18d,0x182,0x180,0x187,0x185,0x1b9,0x1bb,0x1bc,0x1be,0x1b1,0x1b3,0x1b4,0x1b6,0x1ad,0x1af,0x1a8,0x1aa,0x1a5,0x1a7,0x1a0,0x1a2,
0x0,0x270,0x5e0,0x790,0x85d,0xa2d,0xdbd,0xfcd,0x14fb,0x168b,0x111b,0x136b,0x1ca6,0x1ed6,0x1946,0x1b36,0x278f,0x25ff,0x226f,0x201f,0x2fd2,0x2da2,0x2a32,0x2842,0x3374,0x3104,0x3694,0x34e4,0x3b29,0x3959,0x3ec9,0x3cb9,0x5e4a,0x5c3a,0x5baa,0x59da,0x5617,0x5467,0x53f7,0x5187,0x4ab1,0x48c1,0x4f51,0x4d21,0x42ec,0x409c,0x470c,0x457c,0x79c5,0x7bb5,0x7c25,0x7e55,0x7198,0x73e8,0x7478,0x7608,0x6d3e,0x6f4e,0x68de,0x6aae,0x6563,0x6713,0x6083,0x62f3,0x8000,0x8270,0x85e0,0x8790,0x885d,0x8a2d,0x8dbd,0x8fcd,0x94fb,0x968b,0x911b,0x936b,0x9ca6,0x9ed6,0x9946,0x9b36,0xa78f,0xa5ff,0xa26f,0xa01f,0xafd2,0xada2,0xaa32,0xa842,0xb374,0xb104,0xb694,0xb4e4,0xbb29,0xb959,0xbec9,0xbcb9,0xde4a,0xdc3a,0xdbaa,0xd9da,0xd617,0xd467,0xd3f7,0xd187,0xcab1,0xc8c1,0xcf51,0xcd21,0xc2ec,0xc09c,0xc70c,0xc57c,0xf9c5,0xfbb5,0xfc25,0xfe55,0xf198,0xf3e8,0xf478,0xf608,0xed3e,0xef4e,0xe8de,0xeaae,0xe563,0xe713,0xe083,0xe2f3,0x14000,0x14270,0x145e0,0x14790,0x1485d,0x14a2d,0x14dbd,0x14fcd,0x154fb,0x1568b,0x1511b,0x1536b,0x15ca6,0x15ed6,0x15946,0x15b36,0x1678f,0x165ff,0x1626f,0x1601f,0x16fd2,0x16da2,0x16a32,0x16842,0x17374,0x17104,0x17694,0x174e4,0x17b29,0x17959,0x17ec9,0x17cb9,0x11e4a,0x11c3a,0x11baa,0x119da,0x11617,0x11467,0x113f7,0x11187,0x10ab1,0x108c1,0x10f51,0x10d21,0x102ec,0x1009c,0x1070c,0x1057c,0x139c5,0x13bb5,0x13c25,0x13e55,0x13198,0x133e8,0x13478,0x13608,0x12d3e,0x12f4e,0x128de,0x12aae,0x12563,0x12713,0x12083,0x122f3,0x1c000,0x1c270,0x1c5e0,0x1c790,0x1c85d,0x1ca2d,0x1cdbd,0x1cfcd,0x1d4fb,0x1d68b,0x1d11b,0x1d36b,0x1dca6,0x1ded6,0x1d946,0x1db36,0x1e78f,0x1e5ff,0x1e26f,0x1e01f,0x1efd2,0x1eda2,0x1ea32,0x1e842,0x1f374,0x1f104,0x1f694,0x1f4e4,0x1fb29,0x1f959,0x1fec9,0x1fcb9,0x19e4a,0x19c3a,0x19baa,0x199da,0x19617,0x19467,0x193f7,0x19187,0x18ab1,0x188c1,0x18f51,0x18d21,0x182ec,0x1809c,0x1870c,0x1857c,0x1b9c5,0x1bbb5,0x1bc25,0x1be55,0x1b198,0x1b3e8,0x1b478,0x1b608,0x1ad3e,0x1af4e,0x1a8de,0x1aaae,0x1a563,0x1a713,0x1a083,0x1a2f3,
0x0,0x27000,0x5e000,0x79000,0x85d00,0xa2d00,0xdbd00,0xfcd00,0x14fb00,0x168b00,0x111b00,0x136b00,0x1ca600,0x1ed600,0x194600,0x1b3600,0x278f00,0x25ff00,0x226f00,0x201f00,0x2fd200,0x2da200,0x2a3200,0x284200,0x337400,0x310400,0x369400,0x34e400,0x3b2900,0x395900,0x3ec900,0x3cb900,0x5e4a00,0x5c3a00,0x5baa00,0x59da00,0x561700,0x546700,0x53f700,0x518700,0x4ab100,0x48c100,0x4f5100,0x4d2100,0x42ec00,0x409c00,0x470c00,0x457c00,0x79c500,0x7bb500,0x7c2500,0x7e5500,0x719800,0x73e800,0x747800,0x760800,0x6d3e00,0x6f4e00,0x68de00,0x6aae00,0x656300,0x671300,0x608300,0x62f300,0x805ede,0x822ede,0x85bede,0x87cede,0x8803de,0x8a73de,0x8de3de,0x8f93de,0x94a5de,0x96d5de,0x9145de,0x9335de,0x9cf8de,0x9e88de,0x9918de,0x9b68de,0xa7d1de,0xa5a1de,0xa231de,0xa041de,0xaf8cde,0xadfcde,0xaa6cde,0xa81cde,0xb32ade,0xb15ade,0xb6cade,0xb4bade,0xbb77de,0xb907de,0xbe97de,0xbce7de,0xde14de,0xdc64de,0xdbf4de,0xd984de,0xd649de,0xd439de,0xd3a9de,0xd1d9de,0xcaefde,0xc89fde,0xcf0fde,0xcd7fde,0xc2b2de,0xc0c2de,0xc752de,0xc522de,0xf99bde,0xfbebde,0xfc7bde,0xfe0bde,0xf1c6de,0xf3b6de,0xf426de,0xf656de,0xed60de,0xef10de,0xe880de,0xeaf0de,0xe53dde,0xe74dde,0xe0ddde,0xe2adde,0x140f9b9,0x14289b9,0x14519b9,0x14769b9,0x148a4b9,0x14ad4b9,0x14d44b9,0x14f34b9,0x15402b9,0x15672b9,0x151e2b9,0x15392b9,0x15c5fb9,0x15e2fb9,0x159bfb9,0x15bcfb9,0x16776b9,0x16506b9,0x16296b9,0x160e6b9,0x16f2bb9,0x16d5bb9,0x16acbb9,0x168bbb9,0x1738db9,0x171fdb9,0x1766db9,0x1741db9,0x17bd0b9,0x179a0b9,0x17e30b9,0x17c40b9,0x11eb3b9,0x11cc3b9,0x11b53b9,0x11923b9,0x116eeb9,0x1149eb9,0x1130eb9,0x1117eb9,0x10a48b9,0x10838b9,0x10fa8b9,0x10dd8b9,0x10215b9,0x10065b9,0x107f5b9,0x10585b9,0x1393cb9,0x13b4cb9,0x13cdcb9,0x13eacb9,0x13161b9,0x13311b9,0x13481b9,0x136f1b9,0x12dc7b9,0x12fb7b9,0x12827b9,0x12a57b9,0x1259ab9,0x127eab9,0x1207ab9,0x1220ab9,0x1c0a767,0x1c2d767,0x1c54767,0x1c73767,0x1c8fa67,0x1ca8a67,0x1cd1a67,0x1cf6a67,0x1d45c67,0x1d62c67,0x1d1bc67,0x1d3cc67,0x1dc0167,0x1de7167,0x1d9e167,0x1db9167,0x1e72867,0x1e55867,0x1e2c867,0x1e0b867,0x1ef7567,0x1ed0567,0x1ea9567,0x1e8e567,0x1f3d367,0x1f1a367,0x1f63367,0x1f44367,0x1fb8e67,0x1f9fe67,0x1fe6e67,0x1fc1e67,0x19eed67,0x19c9d67,0x19b0d67,0x1997d67,0x196b067,0x194c067,0x1935067,0x1912067,0x18a1667,0x1886667,0x18ff667,0x18d8667,0x1824b67,0x1803b67,0x187ab67,0x185db67,0x1b96267,0x1bb1267,0x1bc8267,0x1bef267,0x1b13f67,0x1b34f67,0x1b4df67,0x1b6af67,0x1ad9967,0x1afe967,0x1a87967,0x1aa0967,0x1a5c467,0x1a7b467,0x1a02467,0x1a25467,
0x0,0x27082f2,0x5e041a1,0x790c353,0x85d89d4,0xa2d0b26,0xdbdc875,0xfcd4a87,0x14fb47bc,0x168bc54e,0x111b061d,0x136b84ef,0x1ca6ce68,0x1ed64c9a,0x19468fc9,0x1b360d3b,0x278f71fe,0x25fff30c,0x226f305f,0x201fb2ad,0x2fd2f82a,0x2da27ad8,0x2a32b98b,0x28423b79,0x33743642,0x3104b4b0,0x369477e3,0x34e4f511,0x3b29bf96,0x39593d64,0x3ec9fe37,0x3cb97cc5,0x5e4ae3a9,0x5c3a615b,0x5baaa208,0x59da20fa,0x56176a7d,0x5467e88f,0x53f72bdc,0x5187a92e,0x4ab1a415,0x48c126e7,0x4f51e5b4,0x4d216746,0x42ec2dc1,0x409caf33,0x470c6c60,0x457cee92,0x79c59257,0x7bb510a5,0x7c25d3f6,0x7e555104,0x71981b83,0x73e89971,0x74785a22,0x7608d8d0,0x6d3ed5eb,0x6f4e5719,0x68de944a,0x6aae16b8,0x65635c3f,0x6713decd,0x60831d9e,0x62f39f6c,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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}};


static unsigned s7_14[8][256*3] __attribute__((aligned(32))) = {
{
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static unsigned s15_22[8][256*2] __attribute__((aligned(32))) = {
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}};

static unsigned s23_30[8][256] __attribute__((aligned(32))) = {
{
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},{
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},{
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},{
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},{
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},{
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},{
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},{
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}};

unsigned get_s_k_a( unsigned k , unsigned a )
{
	//return calc_s_k_a( k , a );
	if( 0 == k ) return a*2;
	unsigned * s_k_a = NULL;
	if( 7 > k ) s_k_a = s1_6[k-1];
	else if( 15 > k ) s_k_a = s7_14[k-7];
	else if( 23 > k ) s_k_a = s15_22[k-15];
	else s_k_a = s23_30[k-23];
	unsigned r = 0;
	while( a ) {
		r ^= s_k_a[ a&0xff ];
		a >>= 8;
		s_k_a += 256;
	}
	return r;
}