p256_fiat64.go

Documentation: crypto/internal/nistec/fiat

     1  // Code generated by Fiat Cryptography. DO NOT EDIT.
     2  //
     3  // Autogenerated: word_by_word_montgomery --lang Go --no-wide-int --cmovznz-by-mul --relax-primitive-carry-to-bitwidth 32,64 --internal-static --public-function-case camelCase --public-type-case camelCase --private-function-case camelCase --private-type-case camelCase --doc-text-before-function-name '' --doc-newline-before-package-declaration --doc-prepend-header 'Code generated by Fiat Cryptography. DO NOT EDIT.' --package-name fiat --no-prefix-fiat p256 64 '2^256 - 2^224 + 2^192 + 2^96 - 1' mul square add sub one from_montgomery to_montgomery selectznz to_bytes from_bytes
     4  //
     5  // curve description: p256
     6  //
     7  // machine_wordsize = 64 (from "64")
     8  //
     9  // requested operations: mul, square, add, sub, one, from_montgomery, to_montgomery, selectznz, to_bytes, from_bytes
    10  //
    11  // m = 0xffffffff00000001000000000000000000000000ffffffffffffffffffffffff (from "2^256 - 2^224 + 2^192 + 2^96 - 1")
    12  //
    13  //
    14  //
    15  // NOTE: In addition to the bounds specified above each function, all
    16  //
    17  //   functions synthesized for this Montgomery arithmetic require the
    18  //
    19  //   input to be strictly less than the prime modulus (m), and also
    20  //
    21  //   require the input to be in the unique saturated representation.
    22  //
    23  //   All functions also ensure that these two properties are true of
    24  //
    25  //   return values.
    26  //
    27  //
    28  //
    29  // Computed values:
    30  //
    31  //   eval z = z[0] + (z[1] << 64) + (z[2] << 128) + (z[3] << 192)
    32  //
    33  //   bytes_eval z = z[0] + (z[1] << 8) + (z[2] << 16) + (z[3] << 24) + (z[4] << 32) + (z[5] << 40) + (z[6] << 48) + (z[7] << 56) + (z[8] << 64) + (z[9] << 72) + (z[10] << 80) + (z[11] << 88) + (z[12] << 96) + (z[13] << 104) + (z[14] << 112) + (z[15] << 120) + (z[16] << 128) + (z[17] << 136) + (z[18] << 144) + (z[19] << 152) + (z[20] << 160) + (z[21] << 168) + (z[22] << 176) + (z[23] << 184) + (z[24] << 192) + (z[25] << 200) + (z[26] << 208) + (z[27] << 216) + (z[28] << 224) + (z[29] << 232) + (z[30] << 240) + (z[31] << 248)
    34  //
    35  //   twos_complement_eval z = let x1 := z[0] + (z[1] << 64) + (z[2] << 128) + (z[3] << 192) in
    36  //
    37  //                            if x1 & (2^256-1) < 2^255 then x1 & (2^256-1) else (x1 & (2^256-1)) - 2^256
    38  
    39  package fiat
    40  
    41  import "math/bits"
    42  
    43  type p256Uint1 uint64 // We use uint64 instead of a more narrow type for performance reasons; see https://github.com/mit-plv/fiat-crypto/pull/1006#issuecomment-892625927
    44  type p256Int1 int64   // We use uint64 instead of a more narrow type for performance reasons; see https://github.com/mit-plv/fiat-crypto/pull/1006#issuecomment-892625927
    45  
    46  // The type p256MontgomeryDomainFieldElement is a field element in the Montgomery domain.
    47  //
    48  // Bounds: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
    49  type p256MontgomeryDomainFieldElement [4]uint64
    50  
    51  // The type p256NonMontgomeryDomainFieldElement is a field element NOT in the Montgomery domain.
    52  //
    53  // Bounds: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
    54  type p256NonMontgomeryDomainFieldElement [4]uint64
    55  
    56  // p256CmovznzU64 is a single-word conditional move.
    57  //
    58  // Postconditions:
    59  //
    60  //	out1 = (if arg1 = 0 then arg2 else arg3)
    61  //
    62  // Input Bounds:
    63  //
    64  //	arg1: [0x0 ~> 0x1]
    65  //	arg2: [0x0 ~> 0xffffffffffffffff]
    66  //	arg3: [0x0 ~> 0xffffffffffffffff]
    67  //
    68  // Output Bounds:
    69  //
    70  //	out1: [0x0 ~> 0xffffffffffffffff]
    71  func p256CmovznzU64(out1 *uint64, arg1 p256Uint1, arg2 uint64, arg3 uint64) {
    72  	x1 := (uint64(arg1) * 0xffffffffffffffff)
    73  	x2 := ((x1 & arg3) | ((^x1) & arg2))
    74  	*out1 = x2
    75  }
    76  
    77  // p256Mul multiplies two field elements in the Montgomery domain.
    78  //
    79  // Preconditions:
    80  //
    81  //	0 ≤ eval arg1 < m
    82  //	0 ≤ eval arg2 < m
    83  //
    84  // Postconditions:
    85  //
    86  //	eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg2)) mod m
    87  //	0 ≤ eval out1 < m
    88  func p256Mul(out1 *p256MontgomeryDomainFieldElement, arg1 *p256MontgomeryDomainFieldElement, arg2 *p256MontgomeryDomainFieldElement) {
    89  	x1 := arg1[1]
    90  	x2 := arg1[2]
    91  	x3 := arg1[3]
    92  	x4 := arg1[0]
    93  	var x5 uint64
    94  	var x6 uint64
    95  	x6, x5 = bits.Mul64(x4, arg2[3])
    96  	var x7 uint64
    97  	var x8 uint64
    98  	x8, x7 = bits.Mul64(x4, arg2[2])
    99  	var x9 uint64
   100  	var x10 uint64
   101  	x10, x9 = bits.Mul64(x4, arg2[1])
   102  	var x11 uint64
   103  	var x12 uint64
   104  	x12, x11 = bits.Mul64(x4, arg2[0])
   105  	var x13 uint64
   106  	var x14 uint64
   107  	x13, x14 = bits.Add64(x12, x9, uint64(0x0))
   108  	var x15 uint64
   109  	var x16 uint64
   110  	x15, x16 = bits.Add64(x10, x7, uint64(p256Uint1(x14)))
   111  	var x17 uint64
   112  	var x18 uint64
   113  	x17, x18 = bits.Add64(x8, x5, uint64(p256Uint1(x16)))
   114  	x19 := (uint64(p256Uint1(x18)) + x6)
   115  	var x20 uint64
   116  	var x21 uint64
   117  	x21, x20 = bits.Mul64(x11, 0xffffffff00000001)
   118  	var x22 uint64
   119  	var x23 uint64
   120  	x23, x22 = bits.Mul64(x11, 0xffffffff)
   121  	var x24 uint64
   122  	var x25 uint64
   123  	x25, x24 = bits.Mul64(x11, 0xffffffffffffffff)
   124  	var x26 uint64
   125  	var x27 uint64
   126  	x26, x27 = bits.Add64(x25, x22, uint64(0x0))
   127  	x28 := (uint64(p256Uint1(x27)) + x23)
   128  	var x30 uint64
   129  	_, x30 = bits.Add64(x11, x24, uint64(0x0))
   130  	var x31 uint64
   131  	var x32 uint64
   132  	x31, x32 = bits.Add64(x13, x26, uint64(p256Uint1(x30)))
   133  	var x33 uint64
   134  	var x34 uint64
   135  	x33, x34 = bits.Add64(x15, x28, uint64(p256Uint1(x32)))
   136  	var x35 uint64
   137  	var x36 uint64
   138  	x35, x36 = bits.Add64(x17, x20, uint64(p256Uint1(x34)))
   139  	var x37 uint64
   140  	var x38 uint64
   141  	x37, x38 = bits.Add64(x19, x21, uint64(p256Uint1(x36)))
   142  	var x39 uint64
   143  	var x40 uint64
   144  	x40, x39 = bits.Mul64(x1, arg2[3])
   145  	var x41 uint64
   146  	var x42 uint64
   147  	x42, x41 = bits.Mul64(x1, arg2[2])
   148  	var x43 uint64
   149  	var x44 uint64
   150  	x44, x43 = bits.Mul64(x1, arg2[1])
   151  	var x45 uint64
   152  	var x46 uint64
   153  	x46, x45 = bits.Mul64(x1, arg2[0])
   154  	var x47 uint64
   155  	var x48 uint64
   156  	x47, x48 = bits.Add64(x46, x43, uint64(0x0))
   157  	var x49 uint64
   158  	var x50 uint64
   159  	x49, x50 = bits.Add64(x44, x41, uint64(p256Uint1(x48)))
   160  	var x51 uint64
   161  	var x52 uint64
   162  	x51, x52 = bits.Add64(x42, x39, uint64(p256Uint1(x50)))
   163  	x53 := (uint64(p256Uint1(x52)) + x40)
   164  	var x54 uint64
   165  	var x55 uint64
   166  	x54, x55 = bits.Add64(x31, x45, uint64(0x0))
   167  	var x56 uint64
   168  	var x57 uint64
   169  	x56, x57 = bits.Add64(x33, x47, uint64(p256Uint1(x55)))
   170  	var x58 uint64
   171  	var x59 uint64
   172  	x58, x59 = bits.Add64(x35, x49, uint64(p256Uint1(x57)))
   173  	var x60 uint64
   174  	var x61 uint64
   175  	x60, x61 = bits.Add64(x37, x51, uint64(p256Uint1(x59)))
   176  	var x62 uint64
   177  	var x63 uint64
   178  	x62, x63 = bits.Add64(uint64(p256Uint1(x38)), x53, uint64(p256Uint1(x61)))
   179  	var x64 uint64
   180  	var x65 uint64
   181  	x65, x64 = bits.Mul64(x54, 0xffffffff00000001)
   182  	var x66 uint64
   183  	var x67 uint64
   184  	x67, x66 = bits.Mul64(x54, 0xffffffff)
   185  	var x68 uint64
   186  	var x69 uint64
   187  	x69, x68 = bits.Mul64(x54, 0xffffffffffffffff)
   188  	var x70 uint64
   189  	var x71 uint64
   190  	x70, x71 = bits.Add64(x69, x66, uint64(0x0))
   191  	x72 := (uint64(p256Uint1(x71)) + x67)
   192  	var x74 uint64
   193  	_, x74 = bits.Add64(x54, x68, uint64(0x0))
   194  	var x75 uint64
   195  	var x76 uint64
   196  	x75, x76 = bits.Add64(x56, x70, uint64(p256Uint1(x74)))
   197  	var x77 uint64
   198  	var x78 uint64
   199  	x77, x78 = bits.Add64(x58, x72, uint64(p256Uint1(x76)))
   200  	var x79 uint64
   201  	var x80 uint64
   202  	x79, x80 = bits.Add64(x60, x64, uint64(p256Uint1(x78)))
   203  	var x81 uint64
   204  	var x82 uint64
   205  	x81, x82 = bits.Add64(x62, x65, uint64(p256Uint1(x80)))
   206  	x83 := (uint64(p256Uint1(x82)) + uint64(p256Uint1(x63)))
   207  	var x84 uint64
   208  	var x85 uint64
   209  	x85, x84 = bits.Mul64(x2, arg2[3])
   210  	var x86 uint64
   211  	var x87 uint64
   212  	x87, x86 = bits.Mul64(x2, arg2[2])
   213  	var x88 uint64
   214  	var x89 uint64
   215  	x89, x88 = bits.Mul64(x2, arg2[1])
   216  	var x90 uint64
   217  	var x91 uint64
   218  	x91, x90 = bits.Mul64(x2, arg2[0])
   219  	var x92 uint64
   220  	var x93 uint64
   221  	x92, x93 = bits.Add64(x91, x88, uint64(0x0))
   222  	var x94 uint64
   223  	var x95 uint64
   224  	x94, x95 = bits.Add64(x89, x86, uint64(p256Uint1(x93)))
   225  	var x96 uint64
   226  	var x97 uint64
   227  	x96, x97 = bits.Add64(x87, x84, uint64(p256Uint1(x95)))
   228  	x98 := (uint64(p256Uint1(x97)) + x85)
   229  	var x99 uint64
   230  	var x100 uint64
   231  	x99, x100 = bits.Add64(x75, x90, uint64(0x0))
   232  	var x101 uint64
   233  	var x102 uint64
   234  	x101, x102 = bits.Add64(x77, x92, uint64(p256Uint1(x100)))
   235  	var x103 uint64
   236  	var x104 uint64
   237  	x103, x104 = bits.Add64(x79, x94, uint64(p256Uint1(x102)))
   238  	var x105 uint64
   239  	var x106 uint64
   240  	x105, x106 = bits.Add64(x81, x96, uint64(p256Uint1(x104)))
   241  	var x107 uint64
   242  	var x108 uint64
   243  	x107, x108 = bits.Add64(x83, x98, uint64(p256Uint1(x106)))
   244  	var x109 uint64
   245  	var x110 uint64
   246  	x110, x109 = bits.Mul64(x99, 0xffffffff00000001)
   247  	var x111 uint64
   248  	var x112 uint64
   249  	x112, x111 = bits.Mul64(x99, 0xffffffff)
   250  	var x113 uint64
   251  	var x114 uint64
   252  	x114, x113 = bits.Mul64(x99, 0xffffffffffffffff)
   253  	var x115 uint64
   254  	var x116 uint64
   255  	x115, x116 = bits.Add64(x114, x111, uint64(0x0))
   256  	x117 := (uint64(p256Uint1(x116)) + x112)
   257  	var x119 uint64
   258  	_, x119 = bits.Add64(x99, x113, uint64(0x0))
   259  	var x120 uint64
   260  	var x121 uint64
   261  	x120, x121 = bits.Add64(x101, x115, uint64(p256Uint1(x119)))
   262  	var x122 uint64
   263  	var x123 uint64
   264  	x122, x123 = bits.Add64(x103, x117, uint64(p256Uint1(x121)))
   265  	var x124 uint64
   266  	var x125 uint64
   267  	x124, x125 = bits.Add64(x105, x109, uint64(p256Uint1(x123)))
   268  	var x126 uint64
   269  	var x127 uint64
   270  	x126, x127 = bits.Add64(x107, x110, uint64(p256Uint1(x125)))
   271  	x128 := (uint64(p256Uint1(x127)) + uint64(p256Uint1(x108)))
   272  	var x129 uint64
   273  	var x130 uint64
   274  	x130, x129 = bits.Mul64(x3, arg2[3])
   275  	var x131 uint64
   276  	var x132 uint64
   277  	x132, x131 = bits.Mul64(x3, arg2[2])
   278  	var x133 uint64
   279  	var x134 uint64
   280  	x134, x133 = bits.Mul64(x3, arg2[1])
   281  	var x135 uint64
   282  	var x136 uint64
   283  	x136, x135 = bits.Mul64(x3, arg2[0])
   284  	var x137 uint64
   285  	var x138 uint64
   286  	x137, x138 = bits.Add64(x136, x133, uint64(0x0))
   287  	var x139 uint64
   288  	var x140 uint64
   289  	x139, x140 = bits.Add64(x134, x131, uint64(p256Uint1(x138)))
   290  	var x141 uint64
   291  	var x142 uint64
   292  	x141, x142 = bits.Add64(x132, x129, uint64(p256Uint1(x140)))
   293  	x143 := (uint64(p256Uint1(x142)) + x130)
   294  	var x144 uint64
   295  	var x145 uint64
   296  	x144, x145 = bits.Add64(x120, x135, uint64(0x0))
   297  	var x146 uint64
   298  	var x147 uint64
   299  	x146, x147 = bits.Add64(x122, x137, uint64(p256Uint1(x145)))
   300  	var x148 uint64
   301  	var x149 uint64
   302  	x148, x149 = bits.Add64(x124, x139, uint64(p256Uint1(x147)))
   303  	var x150 uint64
   304  	var x151 uint64
   305  	x150, x151 = bits.Add64(x126, x141, uint64(p256Uint1(x149)))
   306  	var x152 uint64
   307  	var x153 uint64
   308  	x152, x153 = bits.Add64(x128, x143, uint64(p256Uint1(x151)))
   309  	var x154 uint64
   310  	var x155 uint64
   311  	x155, x154 = bits.Mul64(x144, 0xffffffff00000001)
   312  	var x156 uint64
   313  	var x157 uint64
   314  	x157, x156 = bits.Mul64(x144, 0xffffffff)
   315  	var x158 uint64
   316  	var x159 uint64
   317  	x159, x158 = bits.Mul64(x144, 0xffffffffffffffff)
   318  	var x160 uint64
   319  	var x161 uint64
   320  	x160, x161 = bits.Add64(x159, x156, uint64(0x0))
   321  	x162 := (uint64(p256Uint1(x161)) + x157)
   322  	var x164 uint64
   323  	_, x164 = bits.Add64(x144, x158, uint64(0x0))
   324  	var x165 uint64
   325  	var x166 uint64
   326  	x165, x166 = bits.Add64(x146, x160, uint64(p256Uint1(x164)))
   327  	var x167 uint64
   328  	var x168 uint64
   329  	x167, x168 = bits.Add64(x148, x162, uint64(p256Uint1(x166)))
   330  	var x169 uint64
   331  	var x170 uint64
   332  	x169, x170 = bits.Add64(x150, x154, uint64(p256Uint1(x168)))
   333  	var x171 uint64
   334  	var x172 uint64
   335  	x171, x172 = bits.Add64(x152, x155, uint64(p256Uint1(x170)))
   336  	x173 := (uint64(p256Uint1(x172)) + uint64(p256Uint1(x153)))
   337  	var x174 uint64
   338  	var x175 uint64
   339  	x174, x175 = bits.Sub64(x165, 0xffffffffffffffff, uint64(0x0))
   340  	var x176 uint64
   341  	var x177 uint64
   342  	x176, x177 = bits.Sub64(x167, 0xffffffff, uint64(p256Uint1(x175)))
   343  	var x178 uint64
   344  	var x179 uint64
   345  	x178, x179 = bits.Sub64(x169, uint64(0x0), uint64(p256Uint1(x177)))
   346  	var x180 uint64
   347  	var x181 uint64
   348  	x180, x181 = bits.Sub64(x171, 0xffffffff00000001, uint64(p256Uint1(x179)))
   349  	var x183 uint64
   350  	_, x183 = bits.Sub64(x173, uint64(0x0), uint64(p256Uint1(x181)))
   351  	var x184 uint64
   352  	p256CmovznzU64(&x184, p256Uint1(x183), x174, x165)
   353  	var x185 uint64
   354  	p256CmovznzU64(&x185, p256Uint1(x183), x176, x167)
   355  	var x186 uint64
   356  	p256CmovznzU64(&x186, p256Uint1(x183), x178, x169)
   357  	var x187 uint64
   358  	p256CmovznzU64(&x187, p256Uint1(x183), x180, x171)
   359  	out1[0] = x184
   360  	out1[1] = x185
   361  	out1[2] = x186
   362  	out1[3] = x187
   363  }
   364  
   365  // p256Square squares a field element in the Montgomery domain.
   366  //
   367  // Preconditions:
   368  //
   369  //	0 ≤ eval arg1 < m
   370  //
   371  // Postconditions:
   372  //
   373  //	eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg1)) mod m
   374  //	0 ≤ eval out1 < m
   375  func p256Square(out1 *p256MontgomeryDomainFieldElement, arg1 *p256MontgomeryDomainFieldElement) {
   376  	x1 := arg1[1]
   377  	x2 := arg1[2]
   378  	x3 := arg1[3]
   379  	x4 := arg1[0]
   380  	var x5 uint64
   381  	var x6 uint64
   382  	x6, x5 = bits.Mul64(x4, arg1[3])
   383  	var x7 uint64
   384  	var x8 uint64
   385  	x8, x7 = bits.Mul64(x4, arg1[2])
   386  	var x9 uint64
   387  	var x10 uint64
   388  	x10, x9 = bits.Mul64(x4, arg1[1])
   389  	var x11 uint64
   390  	var x12 uint64
   391  	x12, x11 = bits.Mul64(x4, arg1[0])
   392  	var x13 uint64
   393  	var x14 uint64
   394  	x13, x14 = bits.Add64(x12, x9, uint64(0x0))
   395  	var x15 uint64
   396  	var x16 uint64
   397  	x15, x16 = bits.Add64(x10, x7, uint64(p256Uint1(x14)))
   398  	var x17 uint64
   399  	var x18 uint64
   400  	x17, x18 = bits.Add64(x8, x5, uint64(p256Uint1(x16)))
   401  	x19 := (uint64(p256Uint1(x18)) + x6)
   402  	var x20 uint64
   403  	var x21 uint64
   404  	x21, x20 = bits.Mul64(x11, 0xffffffff00000001)
   405  	var x22 uint64
   406  	var x23 uint64
   407  	x23, x22 = bits.Mul64(x11, 0xffffffff)
   408  	var x24 uint64
   409  	var x25 uint64
   410  	x25, x24 = bits.Mul64(x11, 0xffffffffffffffff)
   411  	var x26 uint64
   412  	var x27 uint64
   413  	x26, x27 = bits.Add64(x25, x22, uint64(0x0))
   414  	x28 := (uint64(p256Uint1(x27)) + x23)
   415  	var x30 uint64
   416  	_, x30 = bits.Add64(x11, x24, uint64(0x0))
   417  	var x31 uint64
   418  	var x32 uint64
   419  	x31, x32 = bits.Add64(x13, x26, uint64(p256Uint1(x30)))
   420  	var x33 uint64
   421  	var x34 uint64
   422  	x33, x34 = bits.Add64(x15, x28, uint64(p256Uint1(x32)))
   423  	var x35 uint64
   424  	var x36 uint64
   425  	x35, x36 = bits.Add64(x17, x20, uint64(p256Uint1(x34)))
   426  	var x37 uint64
   427  	var x38 uint64
   428  	x37, x38 = bits.Add64(x19, x21, uint64(p256Uint1(x36)))
   429  	var x39 uint64
   430  	var x40 uint64
   431  	x40, x39 = bits.Mul64(x1, arg1[3])
   432  	var x41 uint64
   433  	var x42 uint64
   434  	x42, x41 = bits.Mul64(x1, arg1[2])
   435  	var x43 uint64
   436  	var x44 uint64
   437  	x44, x43 = bits.Mul64(x1, arg1[1])
   438  	var x45 uint64
   439  	var x46 uint64
   440  	x46, x45 = bits.Mul64(x1, arg1[0])
   441  	var x47 uint64
   442  	var x48 uint64
   443  	x47, x48 = bits.Add64(x46, x43, uint64(0x0))
   444  	var x49 uint64
   445  	var x50 uint64
   446  	x49, x50 = bits.Add64(x44, x41, uint64(p256Uint1(x48)))
   447  	var x51 uint64
   448  	var x52 uint64
   449  	x51, x52 = bits.Add64(x42, x39, uint64(p256Uint1(x50)))
   450  	x53 := (uint64(p256Uint1(x52)) + x40)
   451  	var x54 uint64
   452  	var x55 uint64
   453  	x54, x55 = bits.Add64(x31, x45, uint64(0x0))
   454  	var x56 uint64
   455  	var x57 uint64
   456  	x56, x57 = bits.Add64(x33, x47, uint64(p256Uint1(x55)))
   457  	var x58 uint64
   458  	var x59 uint64
   459  	x58, x59 = bits.Add64(x35, x49, uint64(p256Uint1(x57)))
   460  	var x60 uint64
   461  	var x61 uint64
   462  	x60, x61 = bits.Add64(x37, x51, uint64(p256Uint1(x59)))
   463  	var x62 uint64
   464  	var x63 uint64
   465  	x62, x63 = bits.Add64(uint64(p256Uint1(x38)), x53, uint64(p256Uint1(x61)))
   466  	var x64 uint64
   467  	var x65 uint64
   468  	x65, x64 = bits.Mul64(x54, 0xffffffff00000001)
   469  	var x66 uint64
   470  	var x67 uint64
   471  	x67, x66 = bits.Mul64(x54, 0xffffffff)
   472  	var x68 uint64
   473  	var x69 uint64
   474  	x69, x68 = bits.Mul64(x54, 0xffffffffffffffff)
   475  	var x70 uint64
   476  	var x71 uint64
   477  	x70, x71 = bits.Add64(x69, x66, uint64(0x0))
   478  	x72 := (uint64(p256Uint1(x71)) + x67)
   479  	var x74 uint64
   480  	_, x74 = bits.Add64(x54, x68, uint64(0x0))
   481  	var x75 uint64
   482  	var x76 uint64
   483  	x75, x76 = bits.Add64(x56, x70, uint64(p256Uint1(x74)))
   484  	var x77 uint64
   485  	var x78 uint64
   486  	x77, x78 = bits.Add64(x58, x72, uint64(p256Uint1(x76)))
   487  	var x79 uint64
   488  	var x80 uint64
   489  	x79, x80 = bits.Add64(x60, x64, uint64(p256Uint1(x78)))
   490  	var x81 uint64
   491  	var x82 uint64
   492  	x81, x82 = bits.Add64(x62, x65, uint64(p256Uint1(x80)))
   493  	x83 := (uint64(p256Uint1(x82)) + uint64(p256Uint1(x63)))
   494  	var x84 uint64
   495  	var x85 uint64
   496  	x85, x84 = bits.Mul64(x2, arg1[3])
   497  	var x86 uint64
   498  	var x87 uint64
   499  	x87, x86 = bits.Mul64(x2, arg1[2])
   500  	var x88 uint64
   501  	var x89 uint64
   502  	x89, x88 = bits.Mul64(x2, arg1[1])
   503  	var x90 uint64
   504  	var x91 uint64
   505  	x91, x90 = bits.Mul64(x2, arg1[0])
   506  	var x92 uint64
   507  	var x93 uint64
   508  	x92, x93 = bits.Add64(x91, x88, uint64(0x0))
   509  	var x94 uint64
   510  	var x95 uint64
   511  	x94, x95 = bits.Add64(x89, x86, uint64(p256Uint1(x93)))
   512  	var x96 uint64
   513  	var x97 uint64
   514  	x96, x97 = bits.Add64(x87, x84, uint64(p256Uint1(x95)))
   515  	x98 := (uint64(p256Uint1(x97)) + x85)
   516  	var x99 uint64
   517  	var x100 uint64
   518  	x99, x100 = bits.Add64(x75, x90, uint64(0x0))
   519  	var x101 uint64
   520  	var x102 uint64
   521  	x101, x102 = bits.Add64(x77, x92, uint64(p256Uint1(x100)))
   522  	var x103 uint64
   523  	var x104 uint64
   524  	x103, x104 = bits.Add64(x79, x94, uint64(p256Uint1(x102)))
   525  	var x105 uint64
   526  	var x106 uint64
   527  	x105, x106 = bits.Add64(x81, x96, uint64(p256Uint1(x104)))
   528  	var x107 uint64
   529  	var x108 uint64
   530  	x107, x108 = bits.Add64(x83, x98, uint64(p256Uint1(x106)))
   531  	var x109 uint64
   532  	var x110 uint64
   533  	x110, x109 = bits.Mul64(x99, 0xffffffff00000001)
   534  	var x111 uint64
   535  	var x112 uint64
   536  	x112, x111 = bits.Mul64(x99, 0xffffffff)
   537  	var x113 uint64
   538  	var x114 uint64
   539  	x114, x113 = bits.Mul64(x99, 0xffffffffffffffff)
   540  	var x115 uint64
   541  	var x116 uint64
   542  	x115, x116 = bits.Add64(x114, x111, uint64(0x0))
   543  	x117 := (uint64(p256Uint1(x116)) + x112)
   544  	var x119 uint64
   545  	_, x119 = bits.Add64(x99, x113, uint64(0x0))
   546  	var x120 uint64
   547  	var x121 uint64
   548  	x120, x121 = bits.Add64(x101, x115, uint64(p256Uint1(x119)))
   549  	var x122 uint64
   550  	var x123 uint64
   551  	x122, x123 = bits.Add64(x103, x117, uint64(p256Uint1(x121)))
   552  	var x124 uint64
   553  	var x125 uint64
   554  	x124, x125 = bits.Add64(x105, x109, uint64(p256Uint1(x123)))
   555  	var x126 uint64
   556  	var x127 uint64
   557  	x126, x127 = bits.Add64(x107, x110, uint64(p256Uint1(x125)))
   558  	x128 := (uint64(p256Uint1(x127)) + uint64(p256Uint1(x108)))
   559  	var x129 uint64
   560  	var x130 uint64
   561  	x130, x129 = bits.Mul64(x3, arg1[3])
   562  	var x131 uint64
   563  	var x132 uint64
   564  	x132, x131 = bits.Mul64(x3, arg1[2])
   565  	var x133 uint64
   566  	var x134 uint64
   567  	x134, x133 = bits.Mul64(x3, arg1[1])
   568  	var x135 uint64
   569  	var x136 uint64
   570  	x136, x135 = bits.Mul64(x3, arg1[0])
   571  	var x137 uint64
   572  	var x138 uint64
   573  	x137, x138 = bits.Add64(x136, x133, uint64(0x0))
   574  	var x139 uint64
   575  	var x140 uint64
   576  	x139, x140 = bits.Add64(x134, x131, uint64(p256Uint1(x138)))
   577  	var x141 uint64
   578  	var x142 uint64
   579  	x141, x142 = bits.Add64(x132, x129, uint64(p256Uint1(x140)))
   580  	x143 := (uint64(p256Uint1(x142)) + x130)
   581  	var x144 uint64
   582  	var x145 uint64
   583  	x144, x145 = bits.Add64(x120, x135, uint64(0x0))
   584  	var x146 uint64
   585  	var x147 uint64
   586  	x146, x147 = bits.Add64(x122, x137, uint64(p256Uint1(x145)))
   587  	var x148 uint64
   588  	var x149 uint64
   589  	x148, x149 = bits.Add64(x124, x139, uint64(p256Uint1(x147)))
   590  	var x150 uint64
   591  	var x151 uint64
   592  	x150, x151 = bits.Add64(x126, x141, uint64(p256Uint1(x149)))
   593  	var x152 uint64
   594  	var x153 uint64
   595  	x152, x153 = bits.Add64(x128, x143, uint64(p256Uint1(x151)))
   596  	var x154 uint64
   597  	var x155 uint64
   598  	x155, x154 = bits.Mul64(x144, 0xffffffff00000001)
   599  	var x156 uint64
   600  	var x157 uint64
   601  	x157, x156 = bits.Mul64(x144, 0xffffffff)
   602  	var x158 uint64
   603  	var x159 uint64
   604  	x159, x158 = bits.Mul64(x144, 0xffffffffffffffff)
   605  	var x160 uint64
   606  	var x161 uint64
   607  	x160, x161 = bits.Add64(x159, x156, uint64(0x0))
   608  	x162 := (uint64(p256Uint1(x161)) + x157)
   609  	var x164 uint64
   610  	_, x164 = bits.Add64(x144, x158, uint64(0x0))
   611  	var x165 uint64
   612  	var x166 uint64
   613  	x165, x166 = bits.Add64(x146, x160, uint64(p256Uint1(x164)))
   614  	var x167 uint64
   615  	var x168 uint64
   616  	x167, x168 = bits.Add64(x148, x162, uint64(p256Uint1(x166)))
   617  	var x169 uint64
   618  	var x170 uint64
   619  	x169, x170 = bits.Add64(x150, x154, uint64(p256Uint1(x168)))
   620  	var x171 uint64
   621  	var x172 uint64
   622  	x171, x172 = bits.Add64(x152, x155, uint64(p256Uint1(x170)))
   623  	x173 := (uint64(p256Uint1(x172)) + uint64(p256Uint1(x153)))
   624  	var x174 uint64
   625  	var x175 uint64
   626  	x174, x175 = bits.Sub64(x165, 0xffffffffffffffff, uint64(0x0))
   627  	var x176 uint64
   628  	var x177 uint64
   629  	x176, x177 = bits.Sub64(x167, 0xffffffff, uint64(p256Uint1(x175)))
   630  	var x178 uint64
   631  	var x179 uint64
   632  	x178, x179 = bits.Sub64(x169, uint64(0x0), uint64(p256Uint1(x177)))
   633  	var x180 uint64
   634  	var x181 uint64
   635  	x180, x181 = bits.Sub64(x171, 0xffffffff00000001, uint64(p256Uint1(x179)))
   636  	var x183 uint64
   637  	_, x183 = bits.Sub64(x173, uint64(0x0), uint64(p256Uint1(x181)))
   638  	var x184 uint64
   639  	p256CmovznzU64(&x184, p256Uint1(x183), x174, x165)
   640  	var x185 uint64
   641  	p256CmovznzU64(&x185, p256Uint1(x183), x176, x167)
   642  	var x186 uint64
   643  	p256CmovznzU64(&x186, p256Uint1(x183), x178, x169)
   644  	var x187 uint64
   645  	p256CmovznzU64(&x187, p256Uint1(x183), x180, x171)
   646  	out1[0] = x184
   647  	out1[1] = x185
   648  	out1[2] = x186
   649  	out1[3] = x187
   650  }
   651  
   652  // p256Add adds two field elements in the Montgomery domain.
   653  //
   654  // Preconditions:
   655  //
   656  //	0 ≤ eval arg1 < m
   657  //	0 ≤ eval arg2 < m
   658  //
   659  // Postconditions:
   660  //
   661  //	eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) + eval (from_montgomery arg2)) mod m
   662  //	0 ≤ eval out1 < m
   663  func p256Add(out1 *p256MontgomeryDomainFieldElement, arg1 *p256MontgomeryDomainFieldElement, arg2 *p256MontgomeryDomainFieldElement) {
   664  	var x1 uint64
   665  	var x2 uint64
   666  	x1, x2 = bits.Add64(arg1[0], arg2[0], uint64(0x0))
   667  	var x3 uint64
   668  	var x4 uint64
   669  	x3, x4 = bits.Add64(arg1[1], arg2[1], uint64(p256Uint1(x2)))
   670  	var x5 uint64
   671  	var x6 uint64
   672  	x5, x6 = bits.Add64(arg1[2], arg2[2], uint64(p256Uint1(x4)))
   673  	var x7 uint64
   674  	var x8 uint64
   675  	x7, x8 = bits.Add64(arg1[3], arg2[3], uint64(p256Uint1(x6)))
   676  	var x9 uint64
   677  	var x10 uint64
   678  	x9, x10 = bits.Sub64(x1, 0xffffffffffffffff, uint64(0x0))
   679  	var x11 uint64
   680  	var x12 uint64
   681  	x11, x12 = bits.Sub64(x3, 0xffffffff, uint64(p256Uint1(x10)))
   682  	var x13 uint64
   683  	var x14 uint64
   684  	x13, x14 = bits.Sub64(x5, uint64(0x0), uint64(p256Uint1(x12)))
   685  	var x15 uint64
   686  	var x16 uint64
   687  	x15, x16 = bits.Sub64(x7, 0xffffffff00000001, uint64(p256Uint1(x14)))
   688  	var x18 uint64
   689  	_, x18 = bits.Sub64(uint64(p256Uint1(x8)), uint64(0x0), uint64(p256Uint1(x16)))
   690  	var x19 uint64
   691  	p256CmovznzU64(&x19, p256Uint1(x18), x9, x1)
   692  	var x20 uint64
   693  	p256CmovznzU64(&x20, p256Uint1(x18), x11, x3)
   694  	var x21 uint64
   695  	p256CmovznzU64(&x21, p256Uint1(x18), x13, x5)
   696  	var x22 uint64
   697  	p256CmovznzU64(&x22, p256Uint1(x18), x15, x7)
   698  	out1[0] = x19
   699  	out1[1] = x20
   700  	out1[2] = x21
   701  	out1[3] = x22
   702  }
   703  
   704  // p256Sub subtracts two field elements in the Montgomery domain.
   705  //
   706  // Preconditions:
   707  //
   708  //	0 ≤ eval arg1 < m
   709  //	0 ≤ eval arg2 < m
   710  //
   711  // Postconditions:
   712  //
   713  //	eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) - eval (from_montgomery arg2)) mod m
   714  //	0 ≤ eval out1 < m
   715  func p256Sub(out1 *p256MontgomeryDomainFieldElement, arg1 *p256MontgomeryDomainFieldElement, arg2 *p256MontgomeryDomainFieldElement) {
   716  	var x1 uint64
   717  	var x2 uint64
   718  	x1, x2 = bits.Sub64(arg1[0], arg2[0], uint64(0x0))
   719  	var x3 uint64
   720  	var x4 uint64
   721  	x3, x4 = bits.Sub64(arg1[1], arg2[1], uint64(p256Uint1(x2)))
   722  	var x5 uint64
   723  	var x6 uint64
   724  	x5, x6 = bits.Sub64(arg1[2], arg2[2], uint64(p256Uint1(x4)))
   725  	var x7 uint64
   726  	var x8 uint64
   727  	x7, x8 = bits.Sub64(arg1[3], arg2[3], uint64(p256Uint1(x6)))
   728  	var x9 uint64
   729  	p256CmovznzU64(&x9, p256Uint1(x8), uint64(0x0), 0xffffffffffffffff)
   730  	var x10 uint64
   731  	var x11 uint64
   732  	x10, x11 = bits.Add64(x1, x9, uint64(0x0))
   733  	var x12 uint64
   734  	var x13 uint64
   735  	x12, x13 = bits.Add64(x3, (x9 & 0xffffffff), uint64(p256Uint1(x11)))
   736  	var x14 uint64
   737  	var x15 uint64
   738  	x14, x15 = bits.Add64(x5, uint64(0x0), uint64(p256Uint1(x13)))
   739  	var x16 uint64
   740  	x16, _ = bits.Add64(x7, (x9 & 0xffffffff00000001), uint64(p256Uint1(x15)))
   741  	out1[0] = x10
   742  	out1[1] = x12
   743  	out1[2] = x14
   744  	out1[3] = x16
   745  }
   746  
   747  // p256SetOne returns the field element one in the Montgomery domain.
   748  //
   749  // Postconditions:
   750  //
   751  //	eval (from_montgomery out1) mod m = 1 mod m
   752  //	0 ≤ eval out1 < m
   753  func p256SetOne(out1 *p256MontgomeryDomainFieldElement) {
   754  	out1[0] = uint64(0x1)
   755  	out1[1] = 0xffffffff00000000
   756  	out1[2] = 0xffffffffffffffff
   757  	out1[3] = 0xfffffffe
   758  }
   759  
   760  // p256FromMontgomery translates a field element out of the Montgomery domain.
   761  //
   762  // Preconditions:
   763  //
   764  //	0 ≤ eval arg1 < m
   765  //
   766  // Postconditions:
   767  //
   768  //	eval out1 mod m = (eval arg1 * ((2^64)⁻¹ mod m)^4) mod m
   769  //	0 ≤ eval out1 < m
   770  func p256FromMontgomery(out1 *p256NonMontgomeryDomainFieldElement, arg1 *p256MontgomeryDomainFieldElement) {
   771  	x1 := arg1[0]
   772  	var x2 uint64
   773  	var x3 uint64
   774  	x3, x2 = bits.Mul64(x1, 0xffffffff00000001)
   775  	var x4 uint64
   776  	var x5 uint64
   777  	x5, x4 = bits.Mul64(x1, 0xffffffff)
   778  	var x6 uint64
   779  	var x7 uint64
   780  	x7, x6 = bits.Mul64(x1, 0xffffffffffffffff)
   781  	var x8 uint64
   782  	var x9 uint64
   783  	x8, x9 = bits.Add64(x7, x4, uint64(0x0))
   784  	var x11 uint64
   785  	_, x11 = bits.Add64(x1, x6, uint64(0x0))
   786  	var x12 uint64
   787  	var x13 uint64
   788  	x12, x13 = bits.Add64(uint64(0x0), x8, uint64(p256Uint1(x11)))
   789  	var x14 uint64
   790  	var x15 uint64
   791  	x14, x15 = bits.Add64(x12, arg1[1], uint64(0x0))
   792  	var x16 uint64
   793  	var x17 uint64
   794  	x17, x16 = bits.Mul64(x14, 0xffffffff00000001)
   795  	var x18 uint64
   796  	var x19 uint64
   797  	x19, x18 = bits.Mul64(x14, 0xffffffff)
   798  	var x20 uint64
   799  	var x21 uint64
   800  	x21, x20 = bits.Mul64(x14, 0xffffffffffffffff)
   801  	var x22 uint64
   802  	var x23 uint64
   803  	x22, x23 = bits.Add64(x21, x18, uint64(0x0))
   804  	var x25 uint64
   805  	_, x25 = bits.Add64(x14, x20, uint64(0x0))
   806  	var x26 uint64
   807  	var x27 uint64
   808  	x26, x27 = bits.Add64((uint64(p256Uint1(x15)) + (uint64(p256Uint1(x13)) + (uint64(p256Uint1(x9)) + x5))), x22, uint64(p256Uint1(x25)))
   809  	var x28 uint64
   810  	var x29 uint64
   811  	x28, x29 = bits.Add64(x2, (uint64(p256Uint1(x23)) + x19), uint64(p256Uint1(x27)))
   812  	var x30 uint64
   813  	var x31 uint64
   814  	x30, x31 = bits.Add64(x3, x16, uint64(p256Uint1(x29)))
   815  	var x32 uint64
   816  	var x33 uint64
   817  	x32, x33 = bits.Add64(x26, arg1[2], uint64(0x0))
   818  	var x34 uint64
   819  	var x35 uint64
   820  	x34, x35 = bits.Add64(x28, uint64(0x0), uint64(p256Uint1(x33)))
   821  	var x36 uint64
   822  	var x37 uint64
   823  	x36, x37 = bits.Add64(x30, uint64(0x0), uint64(p256Uint1(x35)))
   824  	var x38 uint64
   825  	var x39 uint64
   826  	x39, x38 = bits.Mul64(x32, 0xffffffff00000001)
   827  	var x40 uint64
   828  	var x41 uint64
   829  	x41, x40 = bits.Mul64(x32, 0xffffffff)
   830  	var x42 uint64
   831  	var x43 uint64
   832  	x43, x42 = bits.Mul64(x32, 0xffffffffffffffff)
   833  	var x44 uint64
   834  	var x45 uint64
   835  	x44, x45 = bits.Add64(x43, x40, uint64(0x0))
   836  	var x47 uint64
   837  	_, x47 = bits.Add64(x32, x42, uint64(0x0))
   838  	var x48 uint64
   839  	var x49 uint64
   840  	x48, x49 = bits.Add64(x34, x44, uint64(p256Uint1(x47)))
   841  	var x50 uint64
   842  	var x51 uint64
   843  	x50, x51 = bits.Add64(x36, (uint64(p256Uint1(x45)) + x41), uint64(p256Uint1(x49)))
   844  	var x52 uint64
   845  	var x53 uint64
   846  	x52, x53 = bits.Add64((uint64(p256Uint1(x37)) + (uint64(p256Uint1(x31)) + x17)), x38, uint64(p256Uint1(x51)))
   847  	var x54 uint64
   848  	var x55 uint64
   849  	x54, x55 = bits.Add64(x48, arg1[3], uint64(0x0))
   850  	var x56 uint64
   851  	var x57 uint64
   852  	x56, x57 = bits.Add64(x50, uint64(0x0), uint64(p256Uint1(x55)))
   853  	var x58 uint64
   854  	var x59 uint64
   855  	x58, x59 = bits.Add64(x52, uint64(0x0), uint64(p256Uint1(x57)))
   856  	var x60 uint64
   857  	var x61 uint64
   858  	x61, x60 = bits.Mul64(x54, 0xffffffff00000001)
   859  	var x62 uint64
   860  	var x63 uint64
   861  	x63, x62 = bits.Mul64(x54, 0xffffffff)
   862  	var x64 uint64
   863  	var x65 uint64
   864  	x65, x64 = bits.Mul64(x54, 0xffffffffffffffff)
   865  	var x66 uint64
   866  	var x67 uint64
   867  	x66, x67 = bits.Add64(x65, x62, uint64(0x0))
   868  	var x69 uint64
   869  	_, x69 = bits.Add64(x54, x64, uint64(0x0))
   870  	var x70 uint64
   871  	var x71 uint64
   872  	x70, x71 = bits.Add64(x56, x66, uint64(p256Uint1(x69)))
   873  	var x72 uint64
   874  	var x73 uint64
   875  	x72, x73 = bits.Add64(x58, (uint64(p256Uint1(x67)) + x63), uint64(p256Uint1(x71)))
   876  	var x74 uint64
   877  	var x75 uint64
   878  	x74, x75 = bits.Add64((uint64(p256Uint1(x59)) + (uint64(p256Uint1(x53)) + x39)), x60, uint64(p256Uint1(x73)))
   879  	x76 := (uint64(p256Uint1(x75)) + x61)
   880  	var x77 uint64
   881  	var x78 uint64
   882  	x77, x78 = bits.Sub64(x70, 0xffffffffffffffff, uint64(0x0))
   883  	var x79 uint64
   884  	var x80 uint64
   885  	x79, x80 = bits.Sub64(x72, 0xffffffff, uint64(p256Uint1(x78)))
   886  	var x81 uint64
   887  	var x82 uint64
   888  	x81, x82 = bits.Sub64(x74, uint64(0x0), uint64(p256Uint1(x80)))
   889  	var x83 uint64
   890  	var x84 uint64
   891  	x83, x84 = bits.Sub64(x76, 0xffffffff00000001, uint64(p256Uint1(x82)))
   892  	var x86 uint64
   893  	_, x86 = bits.Sub64(uint64(0x0), uint64(0x0), uint64(p256Uint1(x84)))
   894  	var x87 uint64
   895  	p256CmovznzU64(&x87, p256Uint1(x86), x77, x70)
   896  	var x88 uint64
   897  	p256CmovznzU64(&x88, p256Uint1(x86), x79, x72)
   898  	var x89 uint64
   899  	p256CmovznzU64(&x89, p256Uint1(x86), x81, x74)
   900  	var x90 uint64
   901  	p256CmovznzU64(&x90, p256Uint1(x86), x83, x76)
   902  	out1[0] = x87
   903  	out1[1] = x88
   904  	out1[2] = x89
   905  	out1[3] = x90
   906  }
   907  
   908  // p256ToMontgomery translates a field element into the Montgomery domain.
   909  //
   910  // Preconditions:
   911  //
   912  //	0 ≤ eval arg1 < m
   913  //
   914  // Postconditions:
   915  //
   916  //	eval (from_montgomery out1) mod m = eval arg1 mod m
   917  //	0 ≤ eval out1 < m
   918  func p256ToMontgomery(out1 *p256MontgomeryDomainFieldElement, arg1 *p256NonMontgomeryDomainFieldElement) {
   919  	x1 := arg1[1]
   920  	x2 := arg1[2]
   921  	x3 := arg1[3]
   922  	x4 := arg1[0]
   923  	var x5 uint64
   924  	var x6 uint64
   925  	x6, x5 = bits.Mul64(x4, 0x4fffffffd)
   926  	var x7 uint64
   927  	var x8 uint64
   928  	x8, x7 = bits.Mul64(x4, 0xfffffffffffffffe)
   929  	var x9 uint64
   930  	var x10 uint64
   931  	x10, x9 = bits.Mul64(x4, 0xfffffffbffffffff)
   932  	var x11 uint64
   933  	var x12 uint64
   934  	x12, x11 = bits.Mul64(x4, 0x3)
   935  	var x13 uint64
   936  	var x14 uint64
   937  	x13, x14 = bits.Add64(x12, x9, uint64(0x0))
   938  	var x15 uint64
   939  	var x16 uint64
   940  	x15, x16 = bits.Add64(x10, x7, uint64(p256Uint1(x14)))
   941  	var x17 uint64
   942  	var x18 uint64
   943  	x17, x18 = bits.Add64(x8, x5, uint64(p256Uint1(x16)))
   944  	var x19 uint64
   945  	var x20 uint64
   946  	x20, x19 = bits.Mul64(x11, 0xffffffff00000001)
   947  	var x21 uint64
   948  	var x22 uint64
   949  	x22, x21 = bits.Mul64(x11, 0xffffffff)
   950  	var x23 uint64
   951  	var x24 uint64
   952  	x24, x23 = bits.Mul64(x11, 0xffffffffffffffff)
   953  	var x25 uint64
   954  	var x26 uint64
   955  	x25, x26 = bits.Add64(x24, x21, uint64(0x0))
   956  	var x28 uint64
   957  	_, x28 = bits.Add64(x11, x23, uint64(0x0))
   958  	var x29 uint64
   959  	var x30 uint64
   960  	x29, x30 = bits.Add64(x13, x25, uint64(p256Uint1(x28)))
   961  	var x31 uint64
   962  	var x32 uint64
   963  	x31, x32 = bits.Add64(x15, (uint64(p256Uint1(x26)) + x22), uint64(p256Uint1(x30)))
   964  	var x33 uint64
   965  	var x34 uint64
   966  	x33, x34 = bits.Add64(x17, x19, uint64(p256Uint1(x32)))
   967  	var x35 uint64
   968  	var x36 uint64
   969  	x35, x36 = bits.Add64((uint64(p256Uint1(x18)) + x6), x20, uint64(p256Uint1(x34)))
   970  	var x37 uint64
   971  	var x38 uint64
   972  	x38, x37 = bits.Mul64(x1, 0x4fffffffd)
   973  	var x39 uint64
   974  	var x40 uint64
   975  	x40, x39 = bits.Mul64(x1, 0xfffffffffffffffe)
   976  	var x41 uint64
   977  	var x42 uint64
   978  	x42, x41 = bits.Mul64(x1, 0xfffffffbffffffff)
   979  	var x43 uint64
   980  	var x44 uint64
   981  	x44, x43 = bits.Mul64(x1, 0x3)
   982  	var x45 uint64
   983  	var x46 uint64
   984  	x45, x46 = bits.Add64(x44, x41, uint64(0x0))
   985  	var x47 uint64
   986  	var x48 uint64
   987  	x47, x48 = bits.Add64(x42, x39, uint64(p256Uint1(x46)))
   988  	var x49 uint64
   989  	var x50 uint64
   990  	x49, x50 = bits.Add64(x40, x37, uint64(p256Uint1(x48)))
   991  	var x51 uint64
   992  	var x52 uint64
   993  	x51, x52 = bits.Add64(x29, x43, uint64(0x0))
   994  	var x53 uint64
   995  	var x54 uint64
   996  	x53, x54 = bits.Add64(x31, x45, uint64(p256Uint1(x52)))
   997  	var x55 uint64
   998  	var x56 uint64
   999  	x55, x56 = bits.Add64(x33, x47, uint64(p256Uint1(x54)))
  1000  	var x57 uint64
  1001  	var x58 uint64
  1002  	x57, x58 = bits.Add64(x35, x49, uint64(p256Uint1(x56)))
  1003  	var x59 uint64
  1004  	var x60 uint64
  1005  	x60, x59 = bits.Mul64(x51, 0xffffffff00000001)
  1006  	var x61 uint64
  1007  	var x62 uint64
  1008  	x62, x61 = bits.Mul64(x51, 0xffffffff)
  1009  	var x63 uint64
  1010  	var x64 uint64
  1011  	x64, x63 = bits.Mul64(x51, 0xffffffffffffffff)
  1012  	var x65 uint64
  1013  	var x66 uint64
  1014  	x65, x66 = bits.Add64(x64, x61, uint64(0x0))
  1015  	var x68 uint64
  1016  	_, x68 = bits.Add64(x51, x63, uint64(0x0))
  1017  	var x69 uint64
  1018  	var x70 uint64
  1019  	x69, x70 = bits.Add64(x53, x65, uint64(p256Uint1(x68)))
  1020  	var x71 uint64
  1021  	var x72 uint64
  1022  	x71, x72 = bits.Add64(x55, (uint64(p256Uint1(x66)) + x62), uint64(p256Uint1(x70)))
  1023  	var x73 uint64
  1024  	var x74 uint64
  1025  	x73, x74 = bits.Add64(x57, x59, uint64(p256Uint1(x72)))
  1026  	var x75 uint64
  1027  	var x76 uint64
  1028  	x75, x76 = bits.Add64(((uint64(p256Uint1(x58)) + uint64(p256Uint1(x36))) + (uint64(p256Uint1(x50)) + x38)), x60, uint64(p256Uint1(x74)))
  1029  	var x77 uint64
  1030  	var x78 uint64
  1031  	x78, x77 = bits.Mul64(x2, 0x4fffffffd)
  1032  	var x79 uint64
  1033  	var x80 uint64
  1034  	x80, x79 = bits.Mul64(x2, 0xfffffffffffffffe)
  1035  	var x81 uint64
  1036  	var x82 uint64
  1037  	x82, x81 = bits.Mul64(x2, 0xfffffffbffffffff)
  1038  	var x83 uint64
  1039  	var x84 uint64
  1040  	x84, x83 = bits.Mul64(x2, 0x3)
  1041  	var x85 uint64
  1042  	var x86 uint64
  1043  	x85, x86 = bits.Add64(x84, x81, uint64(0x0))
  1044  	var x87 uint64
  1045  	var x88 uint64
  1046  	x87, x88 = bits.Add64(x82, x79, uint64(p256Uint1(x86)))
  1047  	var x89 uint64
  1048  	var x90 uint64
  1049  	x89, x90 = bits.Add64(x80, x77, uint64(p256Uint1(x88)))
  1050  	var x91 uint64
  1051  	var x92 uint64
  1052  	x91, x92 = bits.Add64(x69, x83, uint64(0x0))
  1053  	var x93 uint64
  1054  	var x94 uint64
  1055  	x93, x94 = bits.Add64(x71, x85, uint64(p256Uint1(x92)))
  1056  	var x95 uint64
  1057  	var x96 uint64
  1058  	x95, x96 = bits.Add64(x73, x87, uint64(p256Uint1(x94)))
  1059  	var x97 uint64
  1060  	var x98 uint64
  1061  	x97, x98 = bits.Add64(x75, x89, uint64(p256Uint1(x96)))
  1062  	var x99 uint64
  1063  	var x100 uint64
  1064  	x100, x99 = bits.Mul64(x91, 0xffffffff00000001)
  1065  	var x101 uint64
  1066  	var x102 uint64
  1067  	x102, x101 = bits.Mul64(x91, 0xffffffff)
  1068  	var x103 uint64
  1069  	var x104 uint64
  1070  	x104, x103 = bits.Mul64(x91, 0xffffffffffffffff)
  1071  	var x105 uint64
  1072  	var x106 uint64
  1073  	x105, x106 = bits.Add64(x104, x101, uint64(0x0))
  1074  	var x108 uint64
  1075  	_, x108 = bits.Add64(x91, x103, uint64(0x0))
  1076  	var x109 uint64
  1077  	var x110 uint64
  1078  	x109, x110 = bits.Add64(x93, x105, uint64(p256Uint1(x108)))
  1079  	var x111 uint64
  1080  	var x112 uint64
  1081  	x111, x112 = bits.Add64(x95, (uint64(p256Uint1(x106)) + x102), uint64(p256Uint1(x110)))
  1082  	var x113 uint64
  1083  	var x114 uint64
  1084  	x113, x114 = bits.Add64(x97, x99, uint64(p256Uint1(x112)))
  1085  	var x115 uint64
  1086  	var x116 uint64
  1087  	x115, x116 = bits.Add64(((uint64(p256Uint1(x98)) + uint64(p256Uint1(x76))) + (uint64(p256Uint1(x90)) + x78)), x100, uint64(p256Uint1(x114)))
  1088  	var x117 uint64
  1089  	var x118 uint64
  1090  	x118, x117 = bits.Mul64(x3, 0x4fffffffd)
  1091  	var x119 uint64
  1092  	var x120 uint64
  1093  	x120, x119 = bits.Mul64(x3, 0xfffffffffffffffe)
  1094  	var x121 uint64
  1095  	var x122 uint64
  1096  	x122, x121 = bits.Mul64(x3, 0xfffffffbffffffff)
  1097  	var x123 uint64
  1098  	var x124 uint64
  1099  	x124, x123 = bits.Mul64(x3, 0x3)
  1100  	var x125 uint64
  1101  	var x126 uint64
  1102  	x125, x126 = bits.Add64(x124, x121, uint64(0x0))
  1103  	var x127 uint64
  1104  	var x128 uint64
  1105  	x127, x128 = bits.Add64(x122, x119, uint64(p256Uint1(x126)))
  1106  	var x129 uint64
  1107  	var x130 uint64
  1108  	x129, x130 = bits.Add64(x120, x117, uint64(p256Uint1(x128)))
  1109  	var x131 uint64
  1110  	var x132 uint64
  1111  	x131, x132 = bits.Add64(x109, x123, uint64(0x0))
  1112  	var x133 uint64
  1113  	var x134 uint64
  1114  	x133, x134 = bits.Add64(x111, x125, uint64(p256Uint1(x132)))
  1115  	var x135 uint64
  1116  	var x136 uint64
  1117  	x135, x136 = bits.Add64(x113, x127, uint64(p256Uint1(x134)))
  1118  	var x137 uint64
  1119  	var x138 uint64
  1120  	x137, x138 = bits.Add64(x115, x129, uint64(p256Uint1(x136)))
  1121  	var x139 uint64
  1122  	var x140 uint64
  1123  	x140, x139 = bits.Mul64(x131, 0xffffffff00000001)
  1124  	var x141 uint64
  1125  	var x142 uint64
  1126  	x142, x141 = bits.Mul64(x131, 0xffffffff)
  1127  	var x143 uint64
  1128  	var x144 uint64
  1129  	x144, x143 = bits.Mul64(x131, 0xffffffffffffffff)
  1130  	var x145 uint64
  1131  	var x146 uint64
  1132  	x145, x146 = bits.Add64(x144, x141, uint64(0x0))
  1133  	var x148 uint64
  1134  	_, x148 = bits.Add64(x131, x143, uint64(0x0))
  1135  	var x149 uint64
  1136  	var x150 uint64
  1137  	x149, x150 = bits.Add64(x133, x145, uint64(p256Uint1(x148)))
  1138  	var x151 uint64
  1139  	var x152 uint64
  1140  	x151, x152 = bits.Add64(x135, (uint64(p256Uint1(x146)) + x142), uint64(p256Uint1(x150)))
  1141  	var x153 uint64
  1142  	var x154 uint64
  1143  	x153, x154 = bits.Add64(x137, x139, uint64(p256Uint1(x152)))
  1144  	var x155 uint64
  1145  	var x156 uint64
  1146  	x155, x156 = bits.Add64(((uint64(p256Uint1(x138)) + uint64(p256Uint1(x116))) + (uint64(p256Uint1(x130)) + x118)), x140, uint64(p256Uint1(x154)))
  1147  	var x157 uint64
  1148  	var x158 uint64
  1149  	x157, x158 = bits.Sub64(x149, 0xffffffffffffffff, uint64(0x0))
  1150  	var x159 uint64
  1151  	var x160 uint64
  1152  	x159, x160 = bits.Sub64(x151, 0xffffffff, uint64(p256Uint1(x158)))
  1153  	var x161 uint64
  1154  	var x162 uint64
  1155  	x161, x162 = bits.Sub64(x153, uint64(0x0), uint64(p256Uint1(x160)))
  1156  	var x163 uint64
  1157  	var x164 uint64
  1158  	x163, x164 = bits.Sub64(x155, 0xffffffff00000001, uint64(p256Uint1(x162)))
  1159  	var x166 uint64
  1160  	_, x166 = bits.Sub64(uint64(p256Uint1(x156)), uint64(0x0), uint64(p256Uint1(x164)))
  1161  	var x167 uint64
  1162  	p256CmovznzU64(&x167, p256Uint1(x166), x157, x149)
  1163  	var x168 uint64
  1164  	p256CmovznzU64(&x168, p256Uint1(x166), x159, x151)
  1165  	var x169 uint64
  1166  	p256CmovznzU64(&x169, p256Uint1(x166), x161, x153)
  1167  	var x170 uint64
  1168  	p256CmovznzU64(&x170, p256Uint1(x166), x163, x155)
  1169  	out1[0] = x167
  1170  	out1[1] = x168
  1171  	out1[2] = x169
  1172  	out1[3] = x170
  1173  }
  1174  
  1175  // p256Selectznz is a multi-limb conditional select.
  1176  //
  1177  // Postconditions:
  1178  //
  1179  //	eval out1 = (if arg1 = 0 then eval arg2 else eval arg3)
  1180  //
  1181  // Input Bounds:
  1182  //
  1183  //	arg1: [0x0 ~> 0x1]
  1184  //	arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
  1185  //	arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
  1186  //
  1187  // Output Bounds:
  1188  //
  1189  //	out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
  1190  func p256Selectznz(out1 *[4]uint64, arg1 p256Uint1, arg2 *[4]uint64, arg3 *[4]uint64) {
  1191  	var x1 uint64
  1192  	p256CmovznzU64(&x1, arg1, arg2[0], arg3[0])
  1193  	var x2 uint64
  1194  	p256CmovznzU64(&x2, arg1, arg2[1], arg3[1])
  1195  	var x3 uint64
  1196  	p256CmovznzU64(&x3, arg1, arg2[2], arg3[2])
  1197  	var x4 uint64
  1198  	p256CmovznzU64(&x4, arg1, arg2[3], arg3[3])
  1199  	out1[0] = x1
  1200  	out1[1] = x2
  1201  	out1[2] = x3
  1202  	out1[3] = x4
  1203  }
  1204  
  1205  // p256ToBytes serializes a field element NOT in the Montgomery domain to bytes in little-endian order.
  1206  //
  1207  // Preconditions:
  1208  //
  1209  //	0 ≤ eval arg1 < m
  1210  //
  1211  // Postconditions:
  1212  //
  1213  //	out1 = map (λ x, ⌊((eval arg1 mod m) mod 2^(8 * (x + 1))) / 2^(8 * x)⌋) [0..31]
  1214  //
  1215  // Input Bounds:
  1216  //
  1217  //	arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
  1218  //
  1219  // Output Bounds:
  1220  //
  1221  //	out1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff]]
  1222  func p256ToBytes(out1 *[32]uint8, arg1 *[4]uint64) {
  1223  	x1 := arg1[3]
  1224  	x2 := arg1[2]
  1225  	x3 := arg1[1]
  1226  	x4 := arg1[0]
  1227  	x5 := (uint8(x4) & 0xff)
  1228  	x6 := (x4 >> 8)
  1229  	x7 := (uint8(x6) & 0xff)
  1230  	x8 := (x6 >> 8)
  1231  	x9 := (uint8(x8) & 0xff)
  1232  	x10 := (x8 >> 8)
  1233  	x11 := (uint8(x10) & 0xff)
  1234  	x12 := (x10 >> 8)
  1235  	x13 := (uint8(x12) & 0xff)
  1236  	x14 := (x12 >> 8)
  1237  	x15 := (uint8(x14) & 0xff)
  1238  	x16 := (x14 >> 8)
  1239  	x17 := (uint8(x16) & 0xff)
  1240  	x18 := uint8((x16 >> 8))
  1241  	x19 := (uint8(x3) & 0xff)
  1242  	x20 := (x3 >> 8)
  1243  	x21 := (uint8(x20) & 0xff)
  1244  	x22 := (x20 >> 8)
  1245  	x23 := (uint8(x22) & 0xff)
  1246  	x24 := (x22 >> 8)
  1247  	x25 := (uint8(x24) & 0xff)
  1248  	x26 := (x24 >> 8)
  1249  	x27 := (uint8(x26) & 0xff)
  1250  	x28 := (x26 >> 8)
  1251  	x29 := (uint8(x28) & 0xff)
  1252  	x30 := (x28 >> 8)
  1253  	x31 := (uint8(x30) & 0xff)
  1254  	x32 := uint8((x30 >> 8))
  1255  	x33 := (uint8(x2) & 0xff)
  1256  	x34 := (x2 >> 8)
  1257  	x35 := (uint8(x34) & 0xff)
  1258  	x36 := (x34 >> 8)
  1259  	x37 := (uint8(x36) & 0xff)
  1260  	x38 := (x36 >> 8)
  1261  	x39 := (uint8(x38) & 0xff)
  1262  	x40 := (x38 >> 8)
  1263  	x41 := (uint8(x40) & 0xff)
  1264  	x42 := (x40 >> 8)
  1265  	x43 := (uint8(x42) & 0xff)
  1266  	x44 := (x42 >> 8)
  1267  	x45 := (uint8(x44) & 0xff)
  1268  	x46 := uint8((x44 >> 8))
  1269  	x47 := (uint8(x1) & 0xff)
  1270  	x48 := (x1 >> 8)
  1271  	x49 := (uint8(x48) & 0xff)
  1272  	x50 := (x48 >> 8)
  1273  	x51 := (uint8(x50) & 0xff)
  1274  	x52 := (x50 >> 8)
  1275  	x53 := (uint8(x52) & 0xff)
  1276  	x54 := (x52 >> 8)
  1277  	x55 := (uint8(x54) & 0xff)
  1278  	x56 := (x54 >> 8)
  1279  	x57 := (uint8(x56) & 0xff)
  1280  	x58 := (x56 >> 8)
  1281  	x59 := (uint8(x58) & 0xff)
  1282  	x60 := uint8((x58 >> 8))
  1283  	out1[0] = x5
  1284  	out1[1] = x7
  1285  	out1[2] = x9
  1286  	out1[3] = x11
  1287  	out1[4] = x13
  1288  	out1[5] = x15
  1289  	out1[6] = x17
  1290  	out1[7] = x18
  1291  	out1[8] = x19
  1292  	out1[9] = x21
  1293  	out1[10] = x23
  1294  	out1[11] = x25
  1295  	out1[12] = x27
  1296  	out1[13] = x29
  1297  	out1[14] = x31
  1298  	out1[15] = x32
  1299  	out1[16] = x33
  1300  	out1[17] = x35
  1301  	out1[18] = x37
  1302  	out1[19] = x39
  1303  	out1[20] = x41
  1304  	out1[21] = x43
  1305  	out1[22] = x45
  1306  	out1[23] = x46
  1307  	out1[24] = x47
  1308  	out1[25] = x49
  1309  	out1[26] = x51
  1310  	out1[27] = x53
  1311  	out1[28] = x55
  1312  	out1[29] = x57
  1313  	out1[30] = x59
  1314  	out1[31] = x60
  1315  }
  1316  
  1317  // p256FromBytes deserializes a field element NOT in the Montgomery domain from bytes in little-endian order.
  1318  //
  1319  // Preconditions:
  1320  //
  1321  //	0 ≤ bytes_eval arg1 < m
  1322  //
  1323  // Postconditions:
  1324  //
  1325  //	eval out1 mod m = bytes_eval arg1 mod m
  1326  //	0 ≤ eval out1 < m
  1327  //
  1328  // Input Bounds:
  1329  //
  1330  //	arg1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff]]
  1331  //
  1332  // Output Bounds:
  1333  //
  1334  //	out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]]
  1335  func p256FromBytes(out1 *[4]uint64, arg1 *[32]uint8) {
  1336  	x1 := (uint64(arg1[31]) << 56)
  1337  	x2 := (uint64(arg1[30]) << 48)
  1338  	x3 := (uint64(arg1[29]) << 40)
  1339  	x4 := (uint64(arg1[28]) << 32)
  1340  	x5 := (uint64(arg1[27]) << 24)
  1341  	x6 := (uint64(arg1[26]) << 16)
  1342  	x7 := (uint64(arg1[25]) << 8)
  1343  	x8 := arg1[24]
  1344  	x9 := (uint64(arg1[23]) << 56)
  1345  	x10 := (uint64(arg1[22]) << 48)
  1346  	x11 := (uint64(arg1[21]) << 40)
  1347  	x12 := (uint64(arg1[20]) << 32)
  1348  	x13 := (uint64(arg1[19]) << 24)
  1349  	x14 := (uint64(arg1[18]) << 16)
  1350  	x15 := (uint64(arg1[17]) << 8)
  1351  	x16 := arg1[16]
  1352  	x17 := (uint64(arg1[15]) << 56)
  1353  	x18 := (uint64(arg1[14]) << 48)
  1354  	x19 := (uint64(arg1[13]) << 40)
  1355  	x20 := (uint64(arg1[12]) << 32)
  1356  	x21 := (uint64(arg1[11]) << 24)
  1357  	x22 := (uint64(arg1[10]) << 16)
  1358  	x23 := (uint64(arg1[9]) << 8)
  1359  	x24 := arg1[8]
  1360  	x25 := (uint64(arg1[7]) << 56)
  1361  	x26 := (uint64(arg1[6]) << 48)
  1362  	x27 := (uint64(arg1[5]) << 40)
  1363  	x28 := (uint64(arg1[4]) << 32)
  1364  	x29 := (uint64(arg1[3]) << 24)
  1365  	x30 := (uint64(arg1[2]) << 16)
  1366  	x31 := (uint64(arg1[1]) << 8)
  1367  	x32 := arg1[0]
  1368  	x33 := (x31 + uint64(x32))
  1369  	x34 := (x30 + x33)
  1370  	x35 := (x29 + x34)
  1371  	x36 := (x28 + x35)
  1372  	x37 := (x27 + x36)
  1373  	x38 := (x26 + x37)
  1374  	x39 := (x25 + x38)
  1375  	x40 := (x23 + uint64(x24))
  1376  	x41 := (x22 + x40)
  1377  	x42 := (x21 + x41)
  1378  	x43 := (x20 + x42)
  1379  	x44 := (x19 + x43)
  1380  	x45 := (x18 + x44)
  1381  	x46 := (x17 + x45)
  1382  	x47 := (x15 + uint64(x16))
  1383  	x48 := (x14 + x47)
  1384  	x49 := (x13 + x48)
  1385  	x50 := (x12 + x49)
  1386  	x51 := (x11 + x50)
  1387  	x52 := (x10 + x51)
  1388  	x53 := (x9 + x52)
  1389  	x54 := (x7 + uint64(x8))
  1390  	x55 := (x6 + x54)
  1391  	x56 := (x5 + x55)
  1392  	x57 := (x4 + x56)
  1393  	x58 := (x3 + x57)
  1394  	x59 := (x2 + x58)
  1395  	x60 := (x1 + x59)
  1396  	out1[0] = x39
  1397  	out1[1] = x46
  1398  	out1[2] = x53
  1399  	out1[3] = x60
  1400  }
  1401
View as plain text