1 | /*
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2 | * Copyright 2016 The OpenSSL Project Authors. All Rights Reserved.
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3 | *
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4 | * Licensed under the OpenSSL license (the "License"). You may not use
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5 | * this file except in compliance with the License. You can obtain a copy
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6 | * in the file LICENSE in the source distribution or at
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7 | * https://www.openssl.org/source/license.html
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8 | */
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9 |
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10 | /*
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11 | * This module is meant to be used as template for non-x87 floating-
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12 | * point assembly modules. The template itself is x86_64-specific
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13 | * though, as it was debugged on x86_64. So that implementor would
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14 | * have to recognize platform-specific parts, UxTOy and inline asm,
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15 | * and act accordingly.
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16 | *
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17 | * Huh? x86_64-specific code as template for non-x87? Note seven, which
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18 | * is not a typo, but reference to 80-bit precision. This module on the
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19 | * other hand relies on 64-bit precision operations, which are default
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20 | * for x86_64 code. And since we are at it, just for sense of it,
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21 | * large-block performance in cycles per processed byte for *this* code
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22 | * is:
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23 | * gcc-4.8 icc-15.0 clang-3.4(*)
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24 | *
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25 | * Westmere 4.96 5.09 4.37
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26 | * Sandy Bridge 4.95 4.90 4.17
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27 | * Haswell 4.92 4.87 3.78
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28 | * Bulldozer 4.67 4.49 4.68
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29 | * VIA Nano 7.07 7.05 5.98
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30 | * Silvermont 10.6 9.61 12.6
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31 | *
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32 | * (*) clang managed to discover parallelism and deployed SIMD;
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33 | *
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34 | * And for range of other platforms with unspecified gcc versions:
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35 | *
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36 | * Freescale e300 12.5
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37 | * PPC74x0 10.8
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38 | * POWER6 4.92
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39 | * POWER7 4.50
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40 | * POWER8 4.10
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41 | *
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42 | * z10 11.2
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43 | * z196+ 7.30
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44 | *
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45 | * UltraSPARC III 16.0
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46 | * SPARC T4 16.1
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47 | */
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48 |
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49 | #if !(defined(__GNUC__) && __GNUC__>=2)
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50 | # error "this is gcc-specific template"
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51 | #endif
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52 |
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53 | #include <stdlib.h>
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54 |
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55 | typedef unsigned char u8;
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56 | typedef unsigned int u32;
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57 | typedef unsigned long long u64;
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58 | typedef union { double d; u64 u; } elem64;
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59 |
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60 | #define TWO(p) ((double)(1ULL<<(p)))
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61 | #define TWO0 TWO(0)
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62 | #define TWO32 TWO(32)
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63 | #define TWO64 (TWO32*TWO(32))
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64 | #define TWO96 (TWO64*TWO(32))
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65 | #define TWO130 (TWO96*TWO(34))
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66 |
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67 | #define EXP(p) ((1023ULL+(p))<<52)
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68 |
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69 | #if defined(__x86_64__) || (defined(__PPC__) && defined(__LITTLE_ENDIAN__))
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70 | # define U8TOU32(p) (*(const u32 *)(p))
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71 | # define U32TO8(p,v) (*(u32 *)(p) = (v))
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72 | #elif defined(__PPC__)
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73 | # define U8TOU32(p) ({u32 ret; asm ("lwbrx %0,0,%1":"=r"(ret):"b"(p)); ret; })
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74 | # define U32TO8(p,v) asm ("stwbrx %0,0,%1"::"r"(v),"b"(p):"memory")
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75 | #elif defined(__s390x__)
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76 | # define U8TOU32(p) ({u32 ret; asm ("lrv %0,%1":"=d"(ret):"m"(*(u32 *)(p))); ret; })
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77 | # define U32TO8(p,v) asm ("strv %1,%0":"=m"(*(u32 *)(p)):"d"(v))
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78 | #endif
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79 |
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80 | #ifndef U8TOU32
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81 | # define U8TOU32(p) ((u32)(p)[0] | (u32)(p)[1]<<8 | \
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82 | (u32)(p)[2]<<16 | (u32)(p)[3]<<24 )
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83 | #endif
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84 | #ifndef U32TO8
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85 | # define U32TO8(p,v) ((p)[0] = (u8)(v), (p)[1] = (u8)((v)>>8), \
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86 | (p)[2] = (u8)((v)>>16), (p)[3] = (u8)((v)>>24) )
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87 | #endif
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88 |
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89 | typedef struct {
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90 | elem64 h[4];
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91 | double r[8];
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92 | double s[6];
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93 | } poly1305_internal;
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94 |
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95 | /* "round toward zero (truncate), mask all exceptions" */
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96 | #if defined(__x86_64__)
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97 | static const u32 mxcsr = 0x7f80;
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98 | #elif defined(__PPC__)
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99 | static const u64 one = 1;
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100 | #elif defined(__s390x__)
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101 | static const u32 fpc = 1;
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102 | #elif defined(__sparc__)
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103 | static const u64 fsr = 1ULL<<30;
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104 | #else
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105 | #error "unrecognized platform"
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106 | #endif
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107 |
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108 | int poly1305_init(void *ctx, const unsigned char key[16])
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109 | {
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110 | poly1305_internal *st = (poly1305_internal *) ctx;
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111 | elem64 r0, r1, r2, r3;
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112 |
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113 | /* h = 0, biased */
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114 | #if 0
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115 | st->h[0].d = TWO(52)*TWO0;
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116 | st->h[1].d = TWO(52)*TWO32;
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117 | st->h[2].d = TWO(52)*TWO64;
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118 | st->h[3].d = TWO(52)*TWO96;
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119 | #else
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120 | st->h[0].u = EXP(52+0);
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121 | st->h[1].u = EXP(52+32);
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122 | st->h[2].u = EXP(52+64);
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123 | st->h[3].u = EXP(52+96);
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124 | #endif
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125 |
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126 | if (key) {
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127 | /*
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128 | * set "truncate" rounding mode
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129 | */
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130 | #if defined(__x86_64__)
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131 | u32 mxcsr_orig;
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132 |
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133 | asm volatile ("stmxcsr %0":"=m"(mxcsr_orig));
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134 | asm volatile ("ldmxcsr %0"::"m"(mxcsr));
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135 | #elif defined(__PPC__)
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136 | double fpscr_orig, fpscr = *(double *)&one;
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137 |
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138 | asm volatile ("mffs %0":"=f"(fpscr_orig));
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139 | asm volatile ("mtfsf 255,%0"::"f"(fpscr));
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140 | #elif defined(__s390x__)
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141 | u32 fpc_orig;
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142 |
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143 | asm volatile ("stfpc %0":"=m"(fpc_orig));
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144 | asm volatile ("lfpc %0"::"m"(fpc));
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145 | #elif defined(__sparc__)
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146 | u64 fsr_orig;
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147 |
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148 | asm volatile ("stx %%fsr,%0":"=m"(fsr_orig));
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149 | asm volatile ("ldx %0,%%fsr"::"m"(fsr));
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150 | #endif
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151 |
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152 | /* r &= 0xffffffc0ffffffc0ffffffc0fffffff */
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153 | r0.u = EXP(52+0) | (U8TOU32(&key[0]) & 0x0fffffff);
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154 | r1.u = EXP(52+32) | (U8TOU32(&key[4]) & 0x0ffffffc);
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155 | r2.u = EXP(52+64) | (U8TOU32(&key[8]) & 0x0ffffffc);
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156 | r3.u = EXP(52+96) | (U8TOU32(&key[12]) & 0x0ffffffc);
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157 |
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158 | st->r[0] = r0.d - TWO(52)*TWO0;
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159 | st->r[2] = r1.d - TWO(52)*TWO32;
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160 | st->r[4] = r2.d - TWO(52)*TWO64;
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161 | st->r[6] = r3.d - TWO(52)*TWO96;
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162 |
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163 | st->s[0] = st->r[2] * (5.0/TWO130);
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164 | st->s[2] = st->r[4] * (5.0/TWO130);
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165 | st->s[4] = st->r[6] * (5.0/TWO130);
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166 |
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167 | /*
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168 | * base 2^32 -> base 2^16
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169 | */
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170 | st->r[1] = (st->r[0] + TWO(52)*TWO(16)*TWO0) -
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171 | TWO(52)*TWO(16)*TWO0;
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172 | st->r[0] -= st->r[1];
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173 |
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174 | st->r[3] = (st->r[2] + TWO(52)*TWO(16)*TWO32) -
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175 | TWO(52)*TWO(16)*TWO32;
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176 | st->r[2] -= st->r[3];
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177 |
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178 | st->r[5] = (st->r[4] + TWO(52)*TWO(16)*TWO64) -
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179 | TWO(52)*TWO(16)*TWO64;
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180 | st->r[4] -= st->r[5];
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181 |
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182 | st->r[7] = (st->r[6] + TWO(52)*TWO(16)*TWO96) -
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183 | TWO(52)*TWO(16)*TWO96;
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184 | st->r[6] -= st->r[7];
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185 |
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186 | st->s[1] = (st->s[0] + TWO(52)*TWO(16)*TWO0/TWO96) -
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187 | TWO(52)*TWO(16)*TWO0/TWO96;
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188 | st->s[0] -= st->s[1];
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189 |
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190 | st->s[3] = (st->s[2] + TWO(52)*TWO(16)*TWO32/TWO96) -
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191 | TWO(52)*TWO(16)*TWO32/TWO96;
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192 | st->s[2] -= st->s[3];
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193 |
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194 | st->s[5] = (st->s[4] + TWO(52)*TWO(16)*TWO64/TWO96) -
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195 | TWO(52)*TWO(16)*TWO64/TWO96;
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196 | st->s[4] -= st->s[5];
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197 |
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198 | /*
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199 | * restore original FPU control register
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200 | */
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201 | #if defined(__x86_64__)
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202 | asm volatile ("ldmxcsr %0"::"m"(mxcsr_orig));
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203 | #elif defined(__PPC__)
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204 | asm volatile ("mtfsf 255,%0"::"f"(fpscr_orig));
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205 | #elif defined(__s390x__)
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206 | asm volatile ("lfpc %0"::"m"(fpc_orig));
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207 | #elif defined(__sparc__)
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208 | asm volatile ("ldx %0,%%fsr"::"m"(fsr_orig));
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209 | #endif
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210 | }
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211 |
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212 | return 0;
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213 | }
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214 |
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215 | void poly1305_blocks(void *ctx, const unsigned char *inp, size_t len,
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216 | int padbit)
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217 | {
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218 | poly1305_internal *st = (poly1305_internal *)ctx;
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219 | elem64 in0, in1, in2, in3;
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220 | u64 pad = (u64)padbit<<32;
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221 |
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222 | double x0, x1, x2, x3;
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223 | double h0lo, h0hi, h1lo, h1hi, h2lo, h2hi, h3lo, h3hi;
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224 | double c0lo, c0hi, c1lo, c1hi, c2lo, c2hi, c3lo, c3hi;
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225 |
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226 | const double r0lo = st->r[0];
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227 | const double r0hi = st->r[1];
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228 | const double r1lo = st->r[2];
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229 | const double r1hi = st->r[3];
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230 | const double r2lo = st->r[4];
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231 | const double r2hi = st->r[5];
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232 | const double r3lo = st->r[6];
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233 | const double r3hi = st->r[7];
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234 |
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235 | const double s1lo = st->s[0];
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236 | const double s1hi = st->s[1];
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237 | const double s2lo = st->s[2];
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238 | const double s2hi = st->s[3];
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239 | const double s3lo = st->s[4];
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240 | const double s3hi = st->s[5];
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241 |
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242 | /*
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243 | * set "truncate" rounding mode
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244 | */
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245 | #if defined(__x86_64__)
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246 | u32 mxcsr_orig;
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247 |
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248 | asm volatile ("stmxcsr %0":"=m"(mxcsr_orig));
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249 | asm volatile ("ldmxcsr %0"::"m"(mxcsr));
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250 | #elif defined(__PPC__)
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251 | double fpscr_orig, fpscr = *(double *)&one;
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252 |
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253 | asm volatile ("mffs %0":"=f"(fpscr_orig));
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254 | asm volatile ("mtfsf 255,%0"::"f"(fpscr));
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255 | #elif defined(__s390x__)
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256 | u32 fpc_orig;
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257 |
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258 | asm volatile ("stfpc %0":"=m"(fpc_orig));
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259 | asm volatile ("lfpc %0"::"m"(fpc));
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260 | #elif defined(__sparc__)
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261 | u64 fsr_orig;
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262 |
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263 | asm volatile ("stx %%fsr,%0":"=m"(fsr_orig));
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264 | asm volatile ("ldx %0,%%fsr"::"m"(fsr));
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265 | #endif
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266 |
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267 | /*
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268 | * load base 2^32 and de-bias
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269 | */
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270 | h0lo = st->h[0].d - TWO(52)*TWO0;
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271 | h1lo = st->h[1].d - TWO(52)*TWO32;
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272 | h2lo = st->h[2].d - TWO(52)*TWO64;
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273 | h3lo = st->h[3].d - TWO(52)*TWO96;
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274 |
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275 | #ifdef __clang__
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276 | h0hi = 0;
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277 | h1hi = 0;
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278 | h2hi = 0;
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279 | h3hi = 0;
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280 | #else
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281 | in0.u = EXP(52+0) | U8TOU32(&inp[0]);
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282 | in1.u = EXP(52+32) | U8TOU32(&inp[4]);
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283 | in2.u = EXP(52+64) | U8TOU32(&inp[8]);
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284 | in3.u = EXP(52+96) | U8TOU32(&inp[12]) | pad;
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285 |
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286 | x0 = in0.d - TWO(52)*TWO0;
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287 | x1 = in1.d - TWO(52)*TWO32;
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288 | x2 = in2.d - TWO(52)*TWO64;
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289 | x3 = in3.d - TWO(52)*TWO96;
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290 |
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291 | x0 += h0lo;
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292 | x1 += h1lo;
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293 | x2 += h2lo;
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294 | x3 += h3lo;
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295 |
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296 | goto fast_entry;
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297 | #endif
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298 |
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299 | do {
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300 | in0.u = EXP(52+0) | U8TOU32(&inp[0]);
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301 | in1.u = EXP(52+32) | U8TOU32(&inp[4]);
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302 | in2.u = EXP(52+64) | U8TOU32(&inp[8]);
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303 | in3.u = EXP(52+96) | U8TOU32(&inp[12]) | pad;
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304 |
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305 | x0 = in0.d - TWO(52)*TWO0;
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306 | x1 = in1.d - TWO(52)*TWO32;
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307 | x2 = in2.d - TWO(52)*TWO64;
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308 | x3 = in3.d - TWO(52)*TWO96;
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309 |
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310 | /*
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311 | * note that there are multiple ways to accumulate input, e.g.
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312 | * one can as well accumulate to h0lo-h1lo-h1hi-h2hi...
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313 | */
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314 | h0lo += x0;
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315 | h0hi += x1;
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316 | h2lo += x2;
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317 | h2hi += x3;
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318 |
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319 | /*
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320 | * carries that cross 32n-bit (and 130-bit) boundaries
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321 | */
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322 | c0lo = (h0lo + TWO(52)*TWO32) - TWO(52)*TWO32;
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323 | c1lo = (h1lo + TWO(52)*TWO64) - TWO(52)*TWO64;
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324 | c2lo = (h2lo + TWO(52)*TWO96) - TWO(52)*TWO96;
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325 | c3lo = (h3lo + TWO(52)*TWO130) - TWO(52)*TWO130;
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326 |
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327 | c0hi = (h0hi + TWO(52)*TWO32) - TWO(52)*TWO32;
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328 | c1hi = (h1hi + TWO(52)*TWO64) - TWO(52)*TWO64;
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329 | c2hi = (h2hi + TWO(52)*TWO96) - TWO(52)*TWO96;
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330 | c3hi = (h3hi + TWO(52)*TWO130) - TWO(52)*TWO130;
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331 |
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332 | /*
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333 | * base 2^48 -> base 2^32 with last reduction step
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334 | */
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335 | x1 = (h1lo - c1lo) + c0lo;
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336 | x2 = (h2lo - c2lo) + c1lo;
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337 | x3 = (h3lo - c3lo) + c2lo;
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338 | x0 = (h0lo - c0lo) + c3lo * (5.0/TWO130);
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339 |
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340 | x1 += (h1hi - c1hi) + c0hi;
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341 | x2 += (h2hi - c2hi) + c1hi;
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342 | x3 += (h3hi - c3hi) + c2hi;
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343 | x0 += (h0hi - c0hi) + c3hi * (5.0/TWO130);
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344 |
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345 | #ifndef __clang__
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346 | fast_entry:
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347 | #endif
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348 | /*
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349 | * base 2^32 * base 2^16 = base 2^48
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350 | */
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351 | h0lo = s3lo * x1 + s2lo * x2 + s1lo * x3 + r0lo * x0;
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352 | h1lo = r0lo * x1 + s3lo * x2 + s2lo * x3 + r1lo * x0;
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353 | h2lo = r1lo * x1 + r0lo * x2 + s3lo * x3 + r2lo * x0;
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354 | h3lo = r2lo * x1 + r1lo * x2 + r0lo * x3 + r3lo * x0;
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355 |
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356 | h0hi = s3hi * x1 + s2hi * x2 + s1hi * x3 + r0hi * x0;
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357 | h1hi = r0hi * x1 + s3hi * x2 + s2hi * x3 + r1hi * x0;
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358 | h2hi = r1hi * x1 + r0hi * x2 + s3hi * x3 + r2hi * x0;
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359 | h3hi = r2hi * x1 + r1hi * x2 + r0hi * x3 + r3hi * x0;
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360 |
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361 | inp += 16;
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362 | len -= 16;
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363 |
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364 | } while (len >= 16);
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365 |
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366 | /*
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367 | * carries that cross 32n-bit (and 130-bit) boundaries
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368 | */
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369 | c0lo = (h0lo + TWO(52)*TWO32) - TWO(52)*TWO32;
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370 | c1lo = (h1lo + TWO(52)*TWO64) - TWO(52)*TWO64;
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371 | c2lo = (h2lo + TWO(52)*TWO96) - TWO(52)*TWO96;
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372 | c3lo = (h3lo + TWO(52)*TWO130) - TWO(52)*TWO130;
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373 |
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374 | c0hi = (h0hi + TWO(52)*TWO32) - TWO(52)*TWO32;
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375 | c1hi = (h1hi + TWO(52)*TWO64) - TWO(52)*TWO64;
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376 | c2hi = (h2hi + TWO(52)*TWO96) - TWO(52)*TWO96;
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377 | c3hi = (h3hi + TWO(52)*TWO130) - TWO(52)*TWO130;
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378 |
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379 | /*
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380 | * base 2^48 -> base 2^32 with last reduction step
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381 | */
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382 | x1 = (h1lo - c1lo) + c0lo;
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383 | x2 = (h2lo - c2lo) + c1lo;
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384 | x3 = (h3lo - c3lo) + c2lo;
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385 | x0 = (h0lo - c0lo) + c3lo * (5.0/TWO130);
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386 |
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387 | x1 += (h1hi - c1hi) + c0hi;
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388 | x2 += (h2hi - c2hi) + c1hi;
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389 | x3 += (h3hi - c3hi) + c2hi;
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390 | x0 += (h0hi - c0hi) + c3hi * (5.0/TWO130);
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391 |
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392 | /*
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393 | * store base 2^32, with bias
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394 | */
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395 | st->h[1].d = x1 + TWO(52)*TWO32;
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396 | st->h[2].d = x2 + TWO(52)*TWO64;
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397 | st->h[3].d = x3 + TWO(52)*TWO96;
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398 | st->h[0].d = x0 + TWO(52)*TWO0;
|
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399 |
|
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400 | /*
|
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401 | * restore original FPU control register
|
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402 | */
|
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403 | #if defined(__x86_64__)
|
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404 | asm volatile ("ldmxcsr %0"::"m"(mxcsr_orig));
|
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405 | #elif defined(__PPC__)
|
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406 | asm volatile ("mtfsf 255,%0"::"f"(fpscr_orig));
|
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407 | #elif defined(__s390x__)
|
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408 | asm volatile ("lfpc %0"::"m"(fpc_orig));
|
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409 | #elif defined(__sparc__)
|
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410 | asm volatile ("ldx %0,%%fsr"::"m"(fsr_orig));
|
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411 | #endif
|
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412 | }
|
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413 |
|
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414 | void poly1305_emit(void *ctx, unsigned char mac[16], const u32 nonce[4])
|
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415 | {
|
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416 | poly1305_internal *st = (poly1305_internal *) ctx;
|
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417 | u64 h0, h1, h2, h3, h4;
|
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418 | u32 g0, g1, g2, g3, g4;
|
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419 | u64 t;
|
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420 | u32 mask;
|
---|
421 |
|
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422 | /*
|
---|
423 | * thanks to bias masking exponent gives integer result
|
---|
424 | */
|
---|
425 | h0 = st->h[0].u & 0x000fffffffffffffULL;
|
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426 | h1 = st->h[1].u & 0x000fffffffffffffULL;
|
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427 | h2 = st->h[2].u & 0x000fffffffffffffULL;
|
---|
428 | h3 = st->h[3].u & 0x000fffffffffffffULL;
|
---|
429 |
|
---|
430 | /*
|
---|
431 | * can be partially reduced, so reduce...
|
---|
432 | */
|
---|
433 | h4 = h3>>32; h3 &= 0xffffffffU;
|
---|
434 | g4 = h4&-4;
|
---|
435 | h4 &= 3;
|
---|
436 | g4 += g4>>2;
|
---|
437 |
|
---|
438 | h0 += g4;
|
---|
439 | h1 += h0>>32; h0 &= 0xffffffffU;
|
---|
440 | h2 += h1>>32; h1 &= 0xffffffffU;
|
---|
441 | h3 += h2>>32; h2 &= 0xffffffffU;
|
---|
442 |
|
---|
443 | /* compute h + -p */
|
---|
444 | g0 = (u32)(t = h0 + 5);
|
---|
445 | g1 = (u32)(t = h1 + (t >> 32));
|
---|
446 | g2 = (u32)(t = h2 + (t >> 32));
|
---|
447 | g3 = (u32)(t = h3 + (t >> 32));
|
---|
448 | g4 = h4 + (u32)(t >> 32);
|
---|
449 |
|
---|
450 | /* if there was carry, select g0-g3 */
|
---|
451 | mask = 0 - (g4 >> 2);
|
---|
452 | g0 &= mask;
|
---|
453 | g1 &= mask;
|
---|
454 | g2 &= mask;
|
---|
455 | g3 &= mask;
|
---|
456 | mask = ~mask;
|
---|
457 | g0 |= (h0 & mask);
|
---|
458 | g1 |= (h1 & mask);
|
---|
459 | g2 |= (h2 & mask);
|
---|
460 | g3 |= (h3 & mask);
|
---|
461 |
|
---|
462 | /* mac = (h + nonce) % (2^128) */
|
---|
463 | g0 = (u32)(t = (u64)g0 + nonce[0]);
|
---|
464 | g1 = (u32)(t = (u64)g1 + (t >> 32) + nonce[1]);
|
---|
465 | g2 = (u32)(t = (u64)g2 + (t >> 32) + nonce[2]);
|
---|
466 | g3 = (u32)(t = (u64)g3 + (t >> 32) + nonce[3]);
|
---|
467 |
|
---|
468 | U32TO8(mac + 0, g0);
|
---|
469 | U32TO8(mac + 4, g1);
|
---|
470 | U32TO8(mac + 8, g2);
|
---|
471 | U32TO8(mac + 12, g3);
|
---|
472 | }
|
---|