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</pre><pre class="rust"><code><span class="comment">// Copyright 2016 Brian Smith.
//
// Permission to use, copy, modify, and/or distribute this software for any
// purpose with or without fee is hereby granted, provided that the above
// copyright notice and this permission notice appear in all copies.
//
// THE SOFTWARE IS PROVIDED &quot;AS IS&quot; AND THE AUTHORS DISCLAIM ALL WARRANTIES
// WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
// MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHORS BE LIABLE FOR ANY
// SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
// WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION
// OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN
// CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
</span><span class="kw">use super</span>::{
elem::{binary_op, binary_op_assign},
elem_sqr_mul, elem_sqr_mul_acc, Modulus, <span class="kw-2">*</span>,
};
<span class="kw">use </span>core::marker::PhantomData;
<span class="macro">macro_rules! </span>p384_limbs {
[$(<span class="macro-nonterminal">$limb</span>:expr),+] =&gt; {
<span class="macro">limbs!</span>[$(<span class="macro-nonterminal">$limb</span>),+]
};
}
<span class="kw">pub static </span>COMMON_OPS: CommonOps = CommonOps {
num_limbs: <span class="number">384 </span>/ LIMB_BITS,
q: Modulus {
p: <span class="macro">p384_limbs!</span>[
<span class="number">0xffffffff</span>, <span class="number">0x00000000</span>, <span class="number">0x00000000</span>, <span class="number">0xffffffff</span>, <span class="number">0xfffffffe</span>, <span class="number">0xffffffff</span>, <span class="number">0xffffffff</span>,
<span class="number">0xffffffff</span>, <span class="number">0xffffffff</span>, <span class="number">0xffffffff</span>, <span class="number">0xffffffff</span>, <span class="number">0xffffffff
</span>],
rr: <span class="macro">p384_limbs!</span>[<span class="number">1</span>, <span class="number">0xfffffffe</span>, <span class="number">0</span>, <span class="number">2</span>, <span class="number">0</span>, <span class="number">0xfffffffe</span>, <span class="number">0</span>, <span class="number">2</span>, <span class="number">1</span>, <span class="number">0</span>, <span class="number">0</span>, <span class="number">0</span>],
},
n: Elem {
limbs: <span class="macro">p384_limbs!</span>[
<span class="number">0xccc52973</span>, <span class="number">0xecec196a</span>, <span class="number">0x48b0a77a</span>, <span class="number">0x581a0db2</span>, <span class="number">0xf4372ddf</span>, <span class="number">0xc7634d81</span>, <span class="number">0xffffffff</span>,
<span class="number">0xffffffff</span>, <span class="number">0xffffffff</span>, <span class="number">0xffffffff</span>, <span class="number">0xffffffff</span>, <span class="number">0xffffffff
</span>],
m: PhantomData,
encoding: PhantomData, <span class="comment">// Unencoded
</span>},
a: Elem {
limbs: <span class="macro">p384_limbs!</span>[
<span class="number">0xfffffffc</span>, <span class="number">0x00000003</span>, <span class="number">0x00000000</span>, <span class="number">0xfffffffc</span>, <span class="number">0xfffffffb</span>, <span class="number">0xffffffff</span>, <span class="number">0xffffffff</span>,
<span class="number">0xffffffff</span>, <span class="number">0xffffffff</span>, <span class="number">0xffffffff</span>, <span class="number">0xffffffff</span>, <span class="number">0xffffffff
</span>],
m: PhantomData,
encoding: PhantomData, <span class="comment">// Unreduced
</span>},
b: Elem {
limbs: <span class="macro">p384_limbs!</span>[
<span class="number">0x9d412dcc</span>, <span class="number">0x08118871</span>, <span class="number">0x7a4c32ec</span>, <span class="number">0xf729add8</span>, <span class="number">0x1920022e</span>, <span class="number">0x77f2209b</span>, <span class="number">0x94938ae2</span>,
<span class="number">0xe3374bee</span>, <span class="number">0x1f022094</span>, <span class="number">0xb62b21f4</span>, <span class="number">0x604fbff9</span>, <span class="number">0xcd08114b
</span>],
m: PhantomData,
encoding: PhantomData, <span class="comment">// Unreduced
</span>},
elem_add_impl: GFp_p384_elem_add,
elem_mul_mont: GFp_p384_elem_mul_mont,
elem_sqr_mont: GFp_p384_elem_sqr_mont,
point_add_jacobian_impl: GFp_nistz384_point_add,
};
<span class="kw">pub static </span>PRIVATE_KEY_OPS: PrivateKeyOps = PrivateKeyOps {
common: <span class="kw-2">&amp;</span>COMMON_OPS,
elem_inv_squared: p384_elem_inv_squared,
point_mul_base_impl: p384_point_mul_base_impl,
point_mul_impl: GFp_nistz384_point_mul,
};
<span class="kw">fn </span>p384_elem_inv_squared(a: <span class="kw-2">&amp;</span>Elem&lt;R&gt;) -&gt; Elem&lt;R&gt; {
<span class="comment">// Calculate a**-2 (mod q) == a**(q - 3) (mod q)
//
// The exponent (q - 3) is:
//
// 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe\
// ffffffff0000000000000000fffffffc
</span><span class="attribute">#[inline]
</span><span class="kw">fn </span>sqr_mul(a: <span class="kw-2">&amp;</span>Elem&lt;R&gt;, squarings: usize, b: <span class="kw-2">&amp;</span>Elem&lt;R&gt;) -&gt; Elem&lt;R&gt; {
elem_sqr_mul(<span class="kw-2">&amp;</span>COMMON_OPS, a, squarings, b)
}
<span class="attribute">#[inline]
</span><span class="kw">fn </span>sqr_mul_acc(a: <span class="kw-2">&amp;mut </span>Elem&lt;R&gt;, squarings: usize, b: <span class="kw-2">&amp;</span>Elem&lt;R&gt;) {
elem_sqr_mul_acc(<span class="kw-2">&amp;</span>COMMON_OPS, a, squarings, b)
}
<span class="kw">let </span>b_1 = <span class="kw-2">&amp;</span>a;
<span class="kw">let </span>b_11 = sqr_mul(b_1, <span class="number">1</span>, b_1);
<span class="kw">let </span>b_111 = sqr_mul(<span class="kw-2">&amp;</span>b_11, <span class="number">1</span>, b_1);
<span class="kw">let </span>f_11 = sqr_mul(<span class="kw-2">&amp;</span>b_111, <span class="number">3</span>, <span class="kw-2">&amp;</span>b_111);
<span class="kw">let </span>fff = sqr_mul(<span class="kw-2">&amp;</span>f_11, <span class="number">6</span>, <span class="kw-2">&amp;</span>f_11);
<span class="kw">let </span>fff_111 = sqr_mul(<span class="kw-2">&amp;</span>fff, <span class="number">3</span>, <span class="kw-2">&amp;</span>b_111);
<span class="kw">let </span>fffffff_11 = sqr_mul(<span class="kw-2">&amp;</span>fff_111, <span class="number">15</span>, <span class="kw-2">&amp;</span>fff_111);
<span class="kw">let </span>fffffffffffffff = sqr_mul(<span class="kw-2">&amp;</span>fffffff_11, <span class="number">30</span>, <span class="kw-2">&amp;</span>fffffff_11);
<span class="kw">let </span>ffffffffffffffffffffffffffffff = sqr_mul(<span class="kw-2">&amp;</span>fffffffffffffff, <span class="number">60</span>, <span class="kw-2">&amp;</span>fffffffffffffff);
<span class="comment">// ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
</span><span class="kw">let </span><span class="kw-2">mut </span>acc = sqr_mul(
<span class="kw-2">&amp;</span>ffffffffffffffffffffffffffffff,
<span class="number">120</span>,
<span class="kw-2">&amp;</span>ffffffffffffffffffffffffffffff,
);
<span class="comment">// fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff_111
</span>sqr_mul_acc(<span class="kw-2">&amp;mut </span>acc, <span class="number">15</span>, <span class="kw-2">&amp;</span>fff_111);
<span class="comment">// fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff
</span>sqr_mul_acc(<span class="kw-2">&amp;mut </span>acc, <span class="number">1 </span>+ <span class="number">30</span>, <span class="kw-2">&amp;</span>fffffff_11);
sqr_mul_acc(<span class="kw-2">&amp;mut </span>acc, <span class="number">2</span>, <span class="kw-2">&amp;</span>b_11);
<span class="comment">// fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff
// 0000000000000000fffffff_11
</span>sqr_mul_acc(<span class="kw-2">&amp;mut </span>acc, <span class="number">64 </span>+ <span class="number">30</span>, <span class="kw-2">&amp;</span>fffffff_11);
<span class="comment">// fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffff
// 0000000000000000fffffffc
</span>COMMON_OPS.elem_square(<span class="kw-2">&amp;mut </span>acc);
COMMON_OPS.elem_square(<span class="kw-2">&amp;mut </span>acc);
acc
}
<span class="kw">fn </span>p384_point_mul_base_impl(a: <span class="kw-2">&amp;</span>Scalar) -&gt; Point {
<span class="comment">// XXX: Not efficient. TODO: Precompute multiples of the generator.
</span><span class="kw">static </span>GENERATOR: (Elem&lt;R&gt;, Elem&lt;R&gt;) = (
Elem {
limbs: <span class="macro">p384_limbs!</span>[
<span class="number">0x49c0b528</span>, <span class="number">0x3dd07566</span>, <span class="number">0xa0d6ce38</span>, <span class="number">0x20e378e2</span>, <span class="number">0x541b4d6e</span>, <span class="number">0x879c3afc</span>, <span class="number">0x59a30eff</span>,
<span class="number">0x64548684</span>, <span class="number">0x614ede2b</span>, <span class="number">0x812ff723</span>, <span class="number">0x299e1513</span>, <span class="number">0x4d3aadc2
</span>],
m: PhantomData,
encoding: PhantomData,
},
Elem {
limbs: <span class="macro">p384_limbs!</span>[
<span class="number">0x4b03a4fe</span>, <span class="number">0x23043dad</span>, <span class="number">0x7bb4a9ac</span>, <span class="number">0xa1bfa8bf</span>, <span class="number">0x2e83b050</span>, <span class="number">0x8bade756</span>, <span class="number">0x68f4ffd9</span>,
<span class="number">0xc6c35219</span>, <span class="number">0x3969a840</span>, <span class="number">0xdd800226</span>, <span class="number">0x5a15c5e9</span>, <span class="number">0x2b78abc2
</span>],
m: PhantomData,
encoding: PhantomData,
},
);
PRIVATE_KEY_OPS.point_mul(a, <span class="kw-2">&amp;</span>GENERATOR)
}
<span class="kw">pub static </span>PUBLIC_KEY_OPS: PublicKeyOps = PublicKeyOps {
common: <span class="kw-2">&amp;</span>COMMON_OPS,
};
<span class="kw">pub static </span>SCALAR_OPS: ScalarOps = ScalarOps {
common: <span class="kw-2">&amp;</span>COMMON_OPS,
scalar_inv_to_mont_impl: p384_scalar_inv_to_mont,
scalar_mul_mont: GFp_p384_scalar_mul_mont,
};
<span class="kw">pub static </span>PUBLIC_SCALAR_OPS: PublicScalarOps = PublicScalarOps {
scalar_ops: <span class="kw-2">&amp;</span>SCALAR_OPS,
public_key_ops: <span class="kw-2">&amp;</span>PUBLIC_KEY_OPS,
private_key_ops: <span class="kw-2">&amp;</span>PRIVATE_KEY_OPS,
q_minus_n: Elem {
limbs: <span class="macro">p384_limbs!</span>[
<span class="number">0x333ad68c</span>, <span class="number">0x1313e696</span>, <span class="number">0xb74f5885</span>, <span class="number">0xa7e5f24c</span>, <span class="number">0x0bc8d21f</span>, <span class="number">0x389cb27e</span>, <span class="number">0</span>, <span class="number">0</span>, <span class="number">0</span>, <span class="number">0</span>, <span class="number">0</span>,
<span class="number">0
</span>],
m: PhantomData,
encoding: PhantomData, <span class="comment">// Unencoded
</span>},
};
<span class="kw">pub static </span>PRIVATE_SCALAR_OPS: PrivateScalarOps = PrivateScalarOps {
scalar_ops: <span class="kw-2">&amp;</span>SCALAR_OPS,
oneRR_mod_n: Scalar {
limbs: N_RR_LIMBS,
m: PhantomData,
encoding: PhantomData, <span class="comment">// R
</span>},
};
<span class="kw">fn </span>p384_scalar_inv_to_mont(a: <span class="kw-2">&amp;</span>Scalar&lt;Unencoded&gt;) -&gt; Scalar&lt;R&gt; {
<span class="comment">// Calculate the modular inverse of scalar |a| using Fermat&#39;s Little
// Theorem:
//
// a**-1 (mod n) == a**(n - 2) (mod n)
//
// The exponent (n - 2) is:
//
// 0xffffffffffffffffffffffffffffffffffffffffffffffffc7634d81f4372ddf\
// 581a0db248b0a77aecec196accc52971.
</span><span class="kw">fn </span>mul(a: <span class="kw-2">&amp;</span>Scalar&lt;R&gt;, b: <span class="kw-2">&amp;</span>Scalar&lt;R&gt;) -&gt; Scalar&lt;R&gt; {
binary_op(GFp_p384_scalar_mul_mont, a, b)
}
<span class="kw">fn </span>sqr(a: <span class="kw-2">&amp;</span>Scalar&lt;R&gt;) -&gt; Scalar&lt;R&gt; {
binary_op(GFp_p384_scalar_mul_mont, a, a)
}
<span class="kw">fn </span>sqr_mut(a: <span class="kw-2">&amp;mut </span>Scalar&lt;R&gt;) {
unary_op_from_binary_op_assign(GFp_p384_scalar_mul_mont, a);
}
<span class="comment">// Returns (`a` squared `squarings` times) * `b`.
</span><span class="kw">fn </span>sqr_mul(a: <span class="kw-2">&amp;</span>Scalar&lt;R&gt;, squarings: usize, b: <span class="kw-2">&amp;</span>Scalar&lt;R&gt;) -&gt; Scalar&lt;R&gt; {
<span class="macro">debug_assert!</span>(squarings &gt;= <span class="number">1</span>);
<span class="kw">let </span><span class="kw-2">mut </span>tmp = sqr(a);
<span class="kw">for _ in </span><span class="number">1</span>..squarings {
sqr_mut(<span class="kw-2">&amp;mut </span>tmp);
}
mul(<span class="kw-2">&amp;</span>tmp, b)
}
<span class="comment">// Sets `acc` = (`acc` squared `squarings` times) * `b`.
</span><span class="kw">fn </span>sqr_mul_acc(acc: <span class="kw-2">&amp;mut </span>Scalar&lt;R&gt;, squarings: usize, b: <span class="kw-2">&amp;</span>Scalar&lt;R&gt;) {
<span class="macro">debug_assert!</span>(squarings &gt;= <span class="number">1</span>);
<span class="kw">for _ in </span><span class="number">0</span>..squarings {
sqr_mut(acc);
}
binary_op_assign(GFp_p384_scalar_mul_mont, acc, b)
}
<span class="kw">fn </span>to_mont(a: <span class="kw-2">&amp;</span>Scalar&lt;Unencoded&gt;) -&gt; Scalar&lt;R&gt; {
<span class="kw">static </span>N_RR: Scalar&lt;Unencoded&gt; = Scalar {
limbs: N_RR_LIMBS,
m: PhantomData,
encoding: PhantomData,
};
binary_op(GFp_p384_scalar_mul_mont, a, <span class="kw-2">&amp;</span>N_RR)
}
<span class="comment">// Indexes into `d`.
</span><span class="kw">const </span>B_1: usize = <span class="number">0</span>;
<span class="kw">const </span>B_11: usize = <span class="number">1</span>;
<span class="kw">const </span>B_101: usize = <span class="number">2</span>;
<span class="kw">const </span>B_111: usize = <span class="number">3</span>;
<span class="kw">const </span>B_1001: usize = <span class="number">4</span>;
<span class="kw">const </span>B_1011: usize = <span class="number">5</span>;
<span class="kw">const </span>B_1101: usize = <span class="number">6</span>;
<span class="kw">const </span>B_1111: usize = <span class="number">7</span>;
<span class="kw">const </span>DIGIT_COUNT: usize = <span class="number">8</span>;
<span class="kw">let </span><span class="kw-2">mut </span>d = [Scalar::zero(); DIGIT_COUNT];
d[B_1] = to_mont(a);
<span class="kw">let </span>b_10 = sqr(<span class="kw-2">&amp;</span>d[B_1]);
<span class="kw">for </span>i <span class="kw">in </span>B_11..DIGIT_COUNT {
d[i] = mul(<span class="kw-2">&amp;</span>d[i - <span class="number">1</span>], <span class="kw-2">&amp;</span>b_10);
}
<span class="kw">let </span>ff = sqr_mul(<span class="kw-2">&amp;</span>d[B_1111], <span class="number">0 </span>+ <span class="number">4</span>, <span class="kw-2">&amp;</span>d[B_1111]);
<span class="kw">let </span>ffff = sqr_mul(<span class="kw-2">&amp;</span>ff, <span class="number">0 </span>+ <span class="number">8</span>, <span class="kw-2">&amp;</span>ff);
<span class="kw">let </span>ffffffff = sqr_mul(<span class="kw-2">&amp;</span>ffff, <span class="number">0 </span>+ <span class="number">16</span>, <span class="kw-2">&amp;</span>ffff);
<span class="kw">let </span>ffffffffffffffff = sqr_mul(<span class="kw-2">&amp;</span>ffffffff, <span class="number">0 </span>+ <span class="number">32</span>, <span class="kw-2">&amp;</span>ffffffff);
<span class="kw">let </span>ffffffffffffffffffffffff = sqr_mul(<span class="kw-2">&amp;</span>ffffffffffffffff, <span class="number">0 </span>+ <span class="number">32</span>, <span class="kw-2">&amp;</span>ffffffff);
<span class="comment">// ffffffffffffffffffffffffffffffffffffffffffffffff
</span><span class="kw">let </span><span class="kw-2">mut </span>acc = sqr_mul(<span class="kw-2">&amp;</span>ffffffffffffffffffffffff, <span class="number">0 </span>+ <span class="number">96</span>, <span class="kw-2">&amp;</span>ffffffffffffffffffffffff);
<span class="comment">// The rest of the exponent, in binary, is:
//
// 1100011101100011010011011000000111110100001101110010110111011111
// 0101100000011010000011011011001001001000101100001010011101111010
// 1110110011101100000110010110101011001100110001010010100101110001
</span><span class="kw">static </span>REMAINING_WINDOWS: [(u8, u8); <span class="number">39</span>] = [
(<span class="number">2</span>, B_11 <span class="kw">as </span>u8),
(<span class="number">3 </span>+ <span class="number">3</span>, B_111 <span class="kw">as </span>u8),
(<span class="number">1 </span>+ <span class="number">2</span>, B_11 <span class="kw">as </span>u8),
(<span class="number">3 </span>+ <span class="number">2</span>, B_11 <span class="kw">as </span>u8),
(<span class="number">1 </span>+ <span class="number">4</span>, B_1001 <span class="kw">as </span>u8),
(<span class="number">4</span>, B_1011 <span class="kw">as </span>u8),
(<span class="number">6 </span>+ <span class="number">4</span>, B_1111 <span class="kw">as </span>u8),
(<span class="number">3</span>, B_101 <span class="kw">as </span>u8),
(<span class="number">4 </span>+ <span class="number">1</span>, B_1 <span class="kw">as </span>u8),
(<span class="number">4</span>, B_1011 <span class="kw">as </span>u8),
(<span class="number">4</span>, B_1001 <span class="kw">as </span>u8),
(<span class="number">1 </span>+ <span class="number">4</span>, B_1101 <span class="kw">as </span>u8),
(<span class="number">4</span>, B_1101 <span class="kw">as </span>u8),
(<span class="number">4</span>, B_1111 <span class="kw">as </span>u8),
(<span class="number">1 </span>+ <span class="number">4</span>, B_1011 <span class="kw">as </span>u8),
(<span class="number">6 </span>+ <span class="number">4</span>, B_1101 <span class="kw">as </span>u8),
(<span class="number">5 </span>+ <span class="number">4</span>, B_1101 <span class="kw">as </span>u8),
(<span class="number">4</span>, B_1011 <span class="kw">as </span>u8),
(<span class="number">2 </span>+ <span class="number">4</span>, B_1001 <span class="kw">as </span>u8),
(<span class="number">2 </span>+ <span class="number">1</span>, B_1 <span class="kw">as </span>u8),
(<span class="number">3 </span>+ <span class="number">4</span>, B_1011 <span class="kw">as </span>u8),
(<span class="number">4 </span>+ <span class="number">3</span>, B_101 <span class="kw">as </span>u8),
(<span class="number">2 </span>+ <span class="number">3</span>, B_111 <span class="kw">as </span>u8),
(<span class="number">1 </span>+ <span class="number">4</span>, B_1111 <span class="kw">as </span>u8),
(<span class="number">1 </span>+ <span class="number">4</span>, B_1011 <span class="kw">as </span>u8),
(<span class="number">4</span>, B_1011 <span class="kw">as </span>u8),
(<span class="number">2 </span>+ <span class="number">3</span>, B_111 <span class="kw">as </span>u8),
(<span class="number">1 </span>+ <span class="number">2</span>, B_11 <span class="kw">as </span>u8),
(<span class="number">5 </span>+ <span class="number">2</span>, B_11 <span class="kw">as </span>u8),
(<span class="number">2 </span>+ <span class="number">4</span>, B_1011 <span class="kw">as </span>u8),
(<span class="number">1 </span>+ <span class="number">3</span>, B_101 <span class="kw">as </span>u8),
(<span class="number">1 </span>+ <span class="number">2</span>, B_11 <span class="kw">as </span>u8),
(<span class="number">2 </span>+ <span class="number">2</span>, B_11 <span class="kw">as </span>u8),
(<span class="number">2 </span>+ <span class="number">2</span>, B_11 <span class="kw">as </span>u8),
(<span class="number">3 </span>+ <span class="number">3</span>, B_101 <span class="kw">as </span>u8),
(<span class="number">2 </span>+ <span class="number">3</span>, B_101 <span class="kw">as </span>u8),
(<span class="number">2 </span>+ <span class="number">3</span>, B_101 <span class="kw">as </span>u8),
(<span class="number">2</span>, B_11 <span class="kw">as </span>u8),
(<span class="number">3 </span>+ <span class="number">1</span>, B_1 <span class="kw">as </span>u8),
];
<span class="kw">for </span><span class="kw-2">&amp;</span>(squarings, digit) <span class="kw">in </span><span class="kw-2">&amp;</span>REMAINING_WINDOWS[..] {
sqr_mul_acc(<span class="kw-2">&amp;mut </span>acc, usize::from(squarings), <span class="kw-2">&amp;</span>d[usize::from(digit)]);
}
acc
}
<span class="kw">unsafe extern </span><span class="string">&quot;C&quot; </span><span class="kw">fn </span>GFp_p384_elem_sqr_mont(
r: <span class="kw-2">*mut </span>Limb, <span class="comment">// [COMMON_OPS.num_limbs]
</span>a: <span class="kw-2">*const </span>Limb, <span class="comment">// [COMMON_OPS.num_limbs]
</span>) {
<span class="comment">// XXX: Inefficient. TODO: Make a dedicated squaring routine.
</span>GFp_p384_elem_mul_mont(r, a, a);
}
<span class="kw">const </span>N_RR_LIMBS: [Limb; MAX_LIMBS] = <span class="macro">p384_limbs!</span>[
<span class="number">0x19b409a9</span>, <span class="number">0x2d319b24</span>, <span class="number">0xdf1aa419</span>, <span class="number">0xff3d81e5</span>, <span class="number">0xfcb82947</span>, <span class="number">0xbc3e483a</span>, <span class="number">0x4aab1cc5</span>, <span class="number">0xd40d4917</span>,
<span class="number">0x28266895</span>, <span class="number">0x3fb05b7a</span>, <span class="number">0x2b39bf21</span>, <span class="number">0x0c84ee01
</span>];
<span class="kw">extern </span><span class="string">&quot;C&quot; </span>{
<span class="kw">fn </span>GFp_p384_elem_add(
r: <span class="kw-2">*mut </span>Limb, <span class="comment">// [COMMON_OPS.num_limbs]
</span>a: <span class="kw-2">*const </span>Limb, <span class="comment">// [COMMON_OPS.num_limbs]
</span>b: <span class="kw-2">*const </span>Limb, <span class="comment">// [COMMON_OPS.num_limbs]
</span>);
<span class="kw">fn </span>GFp_p384_elem_mul_mont(
r: <span class="kw-2">*mut </span>Limb, <span class="comment">// [COMMON_OPS.num_limbs]
</span>a: <span class="kw-2">*const </span>Limb, <span class="comment">// [COMMON_OPS.num_limbs]
</span>b: <span class="kw-2">*const </span>Limb, <span class="comment">// [COMMON_OPS.num_limbs]
</span>);
<span class="kw">fn </span>GFp_nistz384_point_add(
r: <span class="kw-2">*mut </span>Limb, <span class="comment">// [3][COMMON_OPS.num_limbs]
</span>a: <span class="kw-2">*const </span>Limb, <span class="comment">// [3][COMMON_OPS.num_limbs]
</span>b: <span class="kw-2">*const </span>Limb, <span class="comment">// [3][COMMON_OPS.num_limbs]
</span>);
<span class="kw">fn </span>GFp_nistz384_point_mul(
r: <span class="kw-2">*mut </span>Limb, <span class="comment">// [3][COMMON_OPS.num_limbs]
</span>p_scalar: <span class="kw-2">*const </span>Limb, <span class="comment">// [COMMON_OPS.num_limbs]
</span>p_x: <span class="kw-2">*const </span>Limb, <span class="comment">// [COMMON_OPS.num_limbs]
</span>p_y: <span class="kw-2">*const </span>Limb, <span class="comment">// [COMMON_OPS.num_limbs]
</span>);
<span class="kw">fn </span>GFp_p384_scalar_mul_mont(
r: <span class="kw-2">*mut </span>Limb, <span class="comment">// [COMMON_OPS.num_limbs]
</span>a: <span class="kw-2">*const </span>Limb, <span class="comment">// [COMMON_OPS.num_limbs]
</span>b: <span class="kw-2">*const </span>Limb, <span class="comment">// [COMMON_OPS.num_limbs]
</span>);
}
</code></pre></div>
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