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Exponent25519.v
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Exponent25519.v
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Require Import Coq.ZArith.ZArith.
Require Import Crypto.Specific.X86.Core.
Require Import Crypto.BoundedArithmetic.Interface.
Local Coercion Z.of_nat : nat >-> Z.
Section x86.
Local Notation n := 64%nat.
Context (ops : x86.instructions n).
Definition barrett_reduce64'1 :=
fun x : (x86.W * x86.W * (x86.W * x86.W) * (x86.W * x86.W * (x86.W * x86.W)))%type =>
let y :=
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 6346243789798364141,
@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 1503914060200516822,
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 1152921504606846976)) in
let y0 :=
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 11508512988225646668,
@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 12431087832907484326,
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 18446744073709551615,
@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 4611686018427387903)) in
let y1 :=
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0)) in
let y2 :=
let y2 :=
let (_, y2) :=
let (xs, x0) := let (x0, _) := x in x0 in
let (ys, y2) :=
let (x1, _) :=
let y2 :=
let (_, y2) :=
let y2 :=
let y2 := x in
let (high1, high2) := let (_, y3) := y2 in y3 in
let (_, low2) := let (x1, _) := y2 in x1 in
(let (high3, high4) := high1 in
let (_, low4) := low2 in
(let (_, y3) :=
@shrdf (@x86.W (Z.of_nat 64) ops) (@x86.shrdf (Z.of_nat 64) ops) high3 low4
58 in
y3,
let (_, y3) :=
@shrdf (@x86.W (Z.of_nat 64) ops) (@x86.shrdf (Z.of_nat 64) ops) high4 high3
58 in
y3),
let (high3, high4) := high2 in
let (_, low4) := high1 in
(let (_, y3) :=
@shrdf (@x86.W (Z.of_nat 64) ops) (@x86.shrdf (Z.of_nat 64) ops) high3 low4 58 in
y3,
let (_, y3) :=
@shrdf (@x86.W (Z.of_nat 64) ops) (@x86.shrdf (Z.of_nat 64) ops) high4 high3 58 in
y3)) in
let y3 := y0 in
let y4 :=
(let y4 := let (x1, _) := y2 in x1 in
let y5 := let (x1, _) := y3 in x1 in
let y6 :=
(let (_, y6) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (x1, _) := y4 in x1) (let (x1, _) := y5 in x1) in
y6,
let (_, y6) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (_, y6) := y4 in y6) (let (_, y6) := y5 in y6) in
y6) in
let y7 :=
let (_, y7) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (_, y7) := y4 in y7) (let (x1, _) := y5 in x1) in
y7 in
let (_, out) :=
let (xs0, x1) := y6 in
let (carry, zs) :=
let (xs1, x2) := xs0 in
let (ys, y8) :=
let (r1, _) := y7 in
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
let (_, y8) :=
@shlf (@x86.W (Z.of_nat 64) ops) (@x86.shlf (Z.of_nat 64) ops) r1 0 in
y8) in
let (carry, zs) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys false in
let (carry0, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y8 carry in
(carry0, (zs, z)) in
let (carry0, z) :=
let (xs1, x2) := x1 in
let (ys, y8) :=
let (_, r2) := y7 in
(let (_, y8) :=
@shrf (@x86.W (Z.of_nat 64) ops) (@x86.shrf (Z.of_nat 64) ops) r2 0 in
y8, @ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0) in
let (carry0, zs0) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys carry in
let (carry1, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y8 carry0 in
(carry1, (zs0, z)) in
(carry0, (zs, z)) in
let y8 :=
let (_, y8) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (_, y8) := y5 in y8) (let (x1, _) := y4 in x1) in
y8 in
let (_, out0) :=
let (xs0, x1) := out in
let (carry, zs) :=
let (xs1, x2) := xs0 in
let (ys, y9) :=
let (r1, _) := y8 in
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
let (_, y9) :=
@shlf (@x86.W (Z.of_nat 64) ops) (@x86.shlf (Z.of_nat 64) ops) r1 0 in
y9) in
let (carry, zs) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys false in
let (carry0, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y9 carry in
(carry0, (zs, z)) in
let (carry0, z) :=
let (xs1, x2) := x1 in
let (ys, y9) :=
let (_, r2) := y8 in
(let (_, y9) :=
@shrf (@x86.W (Z.of_nat 64) ops) (@x86.shrf (Z.of_nat 64) ops) r2 0 in
y9, @ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0) in
let (carry0, zs0) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys carry in
let (carry1, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y9 carry0 in
(carry1, (zs0, z)) in
(carry0, (zs, z)) in
out0,
let y4 := let (_, y4) := y2 in y4 in
let y5 := let (_, y5) := y3 in y5 in
let y6 :=
(let (_, y6) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (x1, _) := y4 in x1) (let (x1, _) := y5 in x1) in
y6,
let (_, y6) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (_, y6) := y4 in y6) (let (_, y6) := y5 in y6) in
y6) in
let y7 :=
let (_, y7) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (_, y7) := y4 in y7) (let (x1, _) := y5 in x1) in
y7 in
let (_, out) :=
let (xs0, x1) := y6 in
let (carry, zs) :=
let (xs1, x2) := xs0 in
let (ys, y8) :=
let (r1, _) := y7 in
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
let (_, y8) :=
@shlf (@x86.W (Z.of_nat 64) ops) (@x86.shlf (Z.of_nat 64) ops) r1 0 in
y8) in
let (carry, zs) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys false in
let (carry0, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y8 carry in
(carry0, (zs, z)) in
let (carry0, z) :=
let (xs1, x2) := x1 in
let (ys, y8) :=
let (_, r2) := y7 in
(let (_, y8) :=
@shrf (@x86.W (Z.of_nat 64) ops) (@x86.shrf (Z.of_nat 64) ops) r2 0 in
y8, @ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0) in
let (carry0, zs0) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys carry in
let (carry1, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y8 carry0 in
(carry1, (zs0, z)) in
(carry0, (zs, z)) in
let y8 :=
let (_, y8) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (_, y8) := y5 in y8) (let (x1, _) := y4 in x1) in
y8 in
let (_, out0) :=
let (xs0, x1) := out in
let (carry, zs) :=
let (xs1, x2) := xs0 in
let (ys, y9) :=
let (r1, _) := y8 in
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
let (_, y9) :=
@shlf (@x86.W (Z.of_nat 64) ops) (@x86.shlf (Z.of_nat 64) ops) r1 0 in
y9) in
let (carry, zs) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys false in
let (carry0, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y9 carry in
(carry0, (zs, z)) in
let (carry0, z) :=
let (xs1, x2) := x1 in
let (ys, y9) :=
let (_, r2) := y8 in
(let (_, y9) :=
@shrf (@x86.W (Z.of_nat 64) ops) (@x86.shrf (Z.of_nat 64) ops) r2 0 in
y9, @ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0) in
let (carry0, zs0) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys carry in
let (carry1, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y9 carry0 in
(carry1, (zs0, z)) in
(carry0, (zs, z)) in
out0) in
let y5 :=
let y5 := let (_, y5) := y2 in y5 in
let y6 := let (x1, _) := y3 in x1 in
let y7 :=
(let (_, y7) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (x1, _) := y5 in x1) (let (x1, _) := y6 in x1) in
y7,
let (_, y7) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (_, y7) := y5 in y7) (let (_, y7) := y6 in y7) in
y7) in
let y8 :=
let (_, y8) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (_, y8) := y5 in y8) (let (x1, _) := y6 in x1) in
y8 in
let (_, out) :=
let (xs0, x1) := y7 in
let (carry, zs) :=
let (xs1, x2) := xs0 in
let (ys, y9) :=
let (r1, _) := y8 in
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
let (_, y9) :=
@shlf (@x86.W (Z.of_nat 64) ops) (@x86.shlf (Z.of_nat 64) ops) r1 0 in
y9) in
let (carry, zs) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys false in
let (carry0, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y9 carry in
(carry0, (zs, z)) in
let (carry0, z) :=
let (xs1, x2) := x1 in
let (ys, y9) :=
let (_, r2) := y8 in
(let (_, y9) :=
@shrf (@x86.W (Z.of_nat 64) ops) (@x86.shrf (Z.of_nat 64) ops) r2 0 in
y9, @ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0) in
let (carry0, zs0) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys carry in
let (carry1, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y9 carry0 in
(carry1, (zs0, z)) in
(carry0, (zs, z)) in
let y9 :=
let (_, y9) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (_, y9) := y6 in y9) (let (x1, _) := y5 in x1) in
y9 in
let (_, out0) :=
let (xs0, x1) := out in
let (carry, zs) :=
let (xs1, x2) := xs0 in
let (ys, y10) :=
let (r1, _) := y9 in
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
let (_, y10) :=
@shlf (@x86.W (Z.of_nat 64) ops) (@x86.shlf (Z.of_nat 64) ops) r1 0 in
y10) in
let (carry, zs) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys false in
let (carry0, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y10 carry in
(carry0, (zs, z)) in
let (carry0, z) :=
let (xs1, x2) := x1 in
let (ys, y10) :=
let (_, r2) := y9 in
(let (_, y10) :=
@shrf (@x86.W (Z.of_nat 64) ops) (@x86.shrf (Z.of_nat 64) ops) r2 0 in
y10, @ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0) in
let (carry0, zs0) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys carry in
let (carry1, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y10 carry0 in
(carry1, (zs0, z)) in
(carry0, (zs, z)) in
out0 in
let (_, out) :=
let (xs0, x1) := y4 in
let (carry, zs) :=
let (xs1, x2) := xs0 in
let (ys, y6) :=
let (r1, _) := y5 in
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
let (r3, r4) := r1 in (r3, r4)) in
let (carry, zs) :=
let (xs2, x3) := xs1 in
let (ys0, y7) := ys in
let (carry, zs) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs2 ys0 false in
let (carry0, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x3 y7 carry in
(carry0, (zs, z)) in
let (carry0, z) :=
let (xs2, x3) := x2 in
let (ys0, y7) := y6 in
let (carry0, zs0) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs2 ys0 carry in
let (carry1, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x3 y7 carry0 in
(carry1, (zs0, z)) in
(carry0, (zs, z)) in
let (carry0, z) :=
let (xs1, x2) := x1 in
let (ys, y6) :=
let (_, r2) := y5 in
(let (r3, r4) := r2 in (r3, r4),
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0)) in
let (carry0, zs0) :=
let (xs2, x3) := xs1 in
let (ys0, y7) := ys in
let (carry0, zs0) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs2 ys0 carry in
let (carry1, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x3 y7 carry0 in
(carry1, (zs0, z)) in
let (carry1, z) :=
let (xs2, x3) := x2 in
let (ys0, y7) := y6 in
let (carry1, zs1) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs2 ys0 carry0 in
let (carry2, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x3 y7 carry1 in
(carry2, (zs1, z)) in
(carry1, (zs0, z)) in
(carry0, (zs, z)) in
let y6 :=
let y6 := let (_, y6) := y3 in y6 in
let y7 := let (x1, _) := y2 in x1 in
let y8 :=
(let (_, y8) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (x1, _) := y6 in x1) (let (x1, _) := y7 in x1) in
y8,
let (_, y8) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (_, y8) := y6 in y8) (let (_, y8) := y7 in y8) in
y8) in
let y9 :=
let (_, y9) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (_, y9) := y6 in y9) (let (x1, _) := y7 in x1) in
y9 in
let (_, out0) :=
let (xs0, x1) := y8 in
let (carry, zs) :=
let (xs1, x2) := xs0 in
let (ys, y10) :=
let (r1, _) := y9 in
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
let (_, y10) :=
@shlf (@x86.W (Z.of_nat 64) ops) (@x86.shlf (Z.of_nat 64) ops) r1 0 in
y10) in
let (carry, zs) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys false in
let (carry0, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y10 carry in
(carry0, (zs, z)) in
let (carry0, z) :=
let (xs1, x2) := x1 in
let (ys, y10) :=
let (_, r2) := y9 in
(let (_, y10) :=
@shrf (@x86.W (Z.of_nat 64) ops) (@x86.shrf (Z.of_nat 64) ops) r2 0 in
y10, @ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0) in
let (carry0, zs0) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys carry in
let (carry1, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y10 carry0 in
(carry1, (zs0, z)) in
(carry0, (zs, z)) in
let y10 :=
let (_, y10) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (_, y10) := y7 in y10) (let (x1, _) := y6 in x1) in
y10 in
let (_, out1) :=
let (xs0, x1) := out0 in
let (carry, zs) :=
let (xs1, x2) := xs0 in
let (ys, y11) :=
let (r1, _) := y10 in
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
let (_, y11) :=
@shlf (@x86.W (Z.of_nat 64) ops) (@x86.shlf (Z.of_nat 64) ops) r1 0 in
y11) in
let (carry, zs) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys false in
let (carry0, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y11 carry in
(carry0, (zs, z)) in
let (carry0, z) :=
let (xs1, x2) := x1 in
let (ys, y11) :=
let (_, r2) := y10 in
(let (_, y11) :=
@shrf (@x86.W (Z.of_nat 64) ops) (@x86.shrf (Z.of_nat 64) ops) r2 0 in
y11, @ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0) in
let (carry0, zs0) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys carry in
let (carry1, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y11 carry0 in
(carry1, (zs0, z)) in
(carry0, (zs, z)) in
out1 in
let (_, out0) :=
let (xs0, x1) := out in
let (carry, zs) :=
let (xs1, x2) := xs0 in
let (ys, y7) :=
let (r1, _) := y6 in
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
let (r3, r4) := r1 in (r3, r4)) in
let (carry, zs) :=
let (xs2, x3) := xs1 in
let (ys0, y8) := ys in
let (carry, zs) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs2 ys0 false in
let (carry0, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x3 y8 carry in
(carry0, (zs, z)) in
let (carry0, z) :=
let (xs2, x3) := x2 in
let (ys0, y8) := y7 in
let (carry0, zs0) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs2 ys0 carry in
let (carry1, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x3 y8 carry0 in
(carry1, (zs0, z)) in
(carry0, (zs, z)) in
let (carry0, z) :=
let (xs1, x2) := x1 in
let (ys, y7) :=
let (_, r2) := y6 in
(let (r3, r4) := r2 in (r3, r4),
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0)) in
let (carry0, zs0) :=
let (xs2, x3) := xs1 in
let (ys0, y8) := ys in
let (carry0, zs0) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs2 ys0 carry in
let (carry1, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x3 y8 carry0 in
(carry1, (zs0, z)) in
let (carry1, z) :=
let (xs2, x3) := x2 in
let (ys0, y8) := y7 in
let (carry1, zs1) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs2 ys0 carry0 in
let (carry2, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x3 y8 carry1 in
(carry2, (zs1, z)) in
(carry1, (zs0, z)) in
(carry0, (zs, z)) in
out0 in
y2 in
let y3 := y in
let y4 :=
(let y4 := let (x1, _) := y2 in x1 in
let y5 := let (x1, _) := y3 in x1 in
let y6 :=
(let (_, y6) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (x1, _) := y4 in x1) (let (x1, _) := y5 in x1) in
y6,
let (_, y6) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (_, y6) := y4 in y6) (let (_, y6) := y5 in y6) in
y6) in
let y7 :=
let (_, y7) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (_, y7) := y4 in y7) (let (x1, _) := y5 in x1) in
y7 in
let (_, out) :=
let (xs0, x1) := y6 in
let (carry, zs) :=
let (xs1, x2) := xs0 in
let (ys, y8) :=
let (r1, _) := y7 in
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
let (_, y8) :=
@shlf (@x86.W (Z.of_nat 64) ops) (@x86.shlf (Z.of_nat 64) ops) r1 0 in
y8) in
let (carry, zs) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys false in
let (carry0, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y8 carry in
(carry0, (zs, z)) in
let (carry0, z) :=
let (xs1, x2) := x1 in
let (ys, y8) :=
let (_, r2) := y7 in
(let (_, y8) :=
@shrf (@x86.W (Z.of_nat 64) ops) (@x86.shrf (Z.of_nat 64) ops) r2 0 in
y8, @ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0) in
let (carry0, zs0) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys carry in
let (carry1, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y8 carry0 in
(carry1, (zs0, z)) in
(carry0, (zs, z)) in
let y8 :=
let (_, y8) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (_, y8) := y5 in y8) (let (x1, _) := y4 in x1) in
y8 in
let (_, out0) :=
let (xs0, x1) := out in
let (carry, zs) :=
let (xs1, x2) := xs0 in
let (ys, y9) :=
let (r1, _) := y8 in
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
let (_, y9) :=
@shlf (@x86.W (Z.of_nat 64) ops) (@x86.shlf (Z.of_nat 64) ops) r1 0 in
y9) in
let (carry, zs) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys false in
let (carry0, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y9 carry in
(carry0, (zs, z)) in
let (carry0, z) :=
let (xs1, x2) := x1 in
let (ys, y9) :=
let (_, r2) := y8 in
(let (_, y9) :=
@shrf (@x86.W (Z.of_nat 64) ops) (@x86.shrf (Z.of_nat 64) ops) r2 0 in
y9, @ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0) in
let (carry0, zs0) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys carry in
let (carry1, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y9 carry0 in
(carry1, (zs0, z)) in
(carry0, (zs, z)) in
out0,
let y4 := let (_, y4) := y2 in y4 in
let y5 := let (_, y5) := y3 in y5 in
let y6 :=
(let (_, y6) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (x1, _) := y4 in x1) (let (x1, _) := y5 in x1) in
y6,
let (_, y6) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (_, y6) := y4 in y6) (let (_, y6) := y5 in y6) in
y6) in
let y7 :=
let (_, y7) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (_, y7) := y4 in y7) (let (x1, _) := y5 in x1) in
y7 in
let (_, out) :=
let (xs0, x1) := y6 in
let (carry, zs) :=
let (xs1, x2) := xs0 in
let (ys, y8) :=
let (r1, _) := y7 in
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
let (_, y8) :=
@shlf (@x86.W (Z.of_nat 64) ops) (@x86.shlf (Z.of_nat 64) ops) r1 0 in
y8) in
let (carry, zs) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys false in
let (carry0, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y8 carry in
(carry0, (zs, z)) in
let (carry0, z) :=
let (xs1, x2) := x1 in
let (ys, y8) :=
let (_, r2) := y7 in
(let (_, y8) :=
@shrf (@x86.W (Z.of_nat 64) ops) (@x86.shrf (Z.of_nat 64) ops) r2 0 in
y8, @ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0) in
let (carry0, zs0) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys carry in
let (carry1, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y8 carry0 in
(carry1, (zs0, z)) in
(carry0, (zs, z)) in
let y8 :=
let (_, y8) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (_, y8) := y5 in y8) (let (x1, _) := y4 in x1) in
y8 in
let (_, out0) :=
let (xs0, x1) := out in
let (carry, zs) :=
let (xs1, x2) := xs0 in
let (ys, y9) :=
let (r1, _) := y8 in
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
let (_, y9) :=
@shlf (@x86.W (Z.of_nat 64) ops) (@x86.shlf (Z.of_nat 64) ops) r1 0 in
y9) in
let (carry, zs) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys false in
let (carry0, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y9 carry in
(carry0, (zs, z)) in
let (carry0, z) :=
let (xs1, x2) := x1 in
let (ys, y9) :=
let (_, r2) := y8 in
(let (_, y9) :=
@shrf (@x86.W (Z.of_nat 64) ops) (@x86.shrf (Z.of_nat 64) ops) r2 0 in
y9, @ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0) in
let (carry0, zs0) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys carry in
let (carry1, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y9 carry0 in
(carry1, (zs0, z)) in
(carry0, (zs, z)) in
out0) in
let y5 :=
let y5 := let (_, y5) := y2 in y5 in
let y6 := let (x1, _) := y3 in x1 in
let y7 :=
(let (_, y7) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (x1, _) := y5 in x1) (let (x1, _) := y6 in x1) in
y7,
let (_, y7) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (_, y7) := y5 in y7) (let (_, y7) := y6 in y7) in
y7) in
let y8 :=
let (_, y8) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (_, y8) := y5 in y8) (let (x1, _) := y6 in x1) in
y8 in
let (_, out) :=
let (xs0, x1) := y7 in
let (carry, zs) :=
let (xs1, x2) := xs0 in
let (ys, y9) :=
let (r1, _) := y8 in
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
let (_, y9) :=
@shlf (@x86.W (Z.of_nat 64) ops) (@x86.shlf (Z.of_nat 64) ops) r1 0 in
y9) in
let (carry, zs) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys false in
let (carry0, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y9 carry in
(carry0, (zs, z)) in
let (carry0, z) :=
let (xs1, x2) := x1 in
let (ys, y9) :=
let (_, r2) := y8 in
(let (_, y9) :=
@shrf (@x86.W (Z.of_nat 64) ops) (@x86.shrf (Z.of_nat 64) ops) r2 0 in
y9, @ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0) in
let (carry0, zs0) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys carry in
let (carry1, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y9 carry0 in
(carry1, (zs0, z)) in
(carry0, (zs, z)) in
let y9 :=
let (_, y9) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (_, y9) := y6 in y9) (let (x1, _) := y5 in x1) in
y9 in
let (_, out0) :=
let (xs0, x1) := out in
let (carry, zs) :=
let (xs1, x2) := xs0 in
let (ys, y10) :=
let (r1, _) := y9 in
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
let (_, y10) :=
@shlf (@x86.W (Z.of_nat 64) ops) (@x86.shlf (Z.of_nat 64) ops) r1 0 in
y10) in
let (carry, zs) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys false in
let (carry0, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y10 carry in
(carry0, (zs, z)) in
let (carry0, z) :=
let (xs1, x2) := x1 in
let (ys, y10) :=
let (_, r2) := y9 in
(let (_, y10) :=
@shrf (@x86.W (Z.of_nat 64) ops) (@x86.shrf (Z.of_nat 64) ops) r2 0 in
y10, @ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0) in
let (carry0, zs0) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys carry in
let (carry1, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y10 carry0 in
(carry1, (zs0, z)) in
(carry0, (zs, z)) in
out0 in
let (_, out) :=
let (xs0, x1) := y4 in
let (carry, zs) :=
let (xs1, x2) := xs0 in
let (ys, y6) :=
let (r1, _) := y5 in
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
let (r3, r4) := r1 in (r3, r4)) in
let (carry, zs) :=
let (xs2, x3) := xs1 in
let (ys0, y7) := ys in
let (carry, zs) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs2 ys0 false in
let (carry0, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x3 y7 carry in
(carry0, (zs, z)) in
let (carry0, z) :=
let (xs2, x3) := x2 in
let (ys0, y7) := y6 in
let (carry0, zs0) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs2 ys0 carry in
let (carry1, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x3 y7 carry0 in
(carry1, (zs0, z)) in
(carry0, (zs, z)) in
let (carry0, z) :=
let (xs1, x2) := x1 in
let (ys, y6) :=
let (_, r2) := y5 in
(let (r3, r4) := r2 in (r3, r4),
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0)) in
let (carry0, zs0) :=
let (xs2, x3) := xs1 in
let (ys0, y7) := ys in
let (carry0, zs0) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs2 ys0 carry in
let (carry1, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x3 y7 carry0 in
(carry1, (zs0, z)) in
let (carry1, z) :=
let (xs2, x3) := x2 in
let (ys0, y7) := y6 in
let (carry1, zs1) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs2 ys0 carry0 in
let (carry2, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x3 y7 carry1 in
(carry2, (zs1, z)) in
(carry1, (zs0, z)) in
(carry0, (zs, z)) in
let y6 :=
let y6 := let (_, y6) := y3 in y6 in
let y7 := let (x1, _) := y2 in x1 in
let y8 :=
(let (_, y8) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (x1, _) := y6 in x1) (let (x1, _) := y7 in x1) in
y8,
let (_, y8) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (_, y8) := y6 in y8) (let (_, y8) := y7 in y8) in
y8) in
let y9 :=
let (_, y9) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (_, y9) := y6 in y9) (let (x1, _) := y7 in x1) in
y9 in
let (_, out0) :=
let (xs0, x1) := y8 in
let (carry, zs) :=
let (xs1, x2) := xs0 in
let (ys, y10) :=
let (r1, _) := y9 in
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
let (_, y10) :=
@shlf (@x86.W (Z.of_nat 64) ops) (@x86.shlf (Z.of_nat 64) ops) r1 0 in
y10) in
let (carry, zs) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys false in
let (carry0, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y10 carry in
(carry0, (zs, z)) in
let (carry0, z) :=
let (xs1, x2) := x1 in
let (ys, y10) :=
let (_, r2) := y9 in
(let (_, y10) :=
@shrf (@x86.W (Z.of_nat 64) ops) (@x86.shrf (Z.of_nat 64) ops) r2 0 in
y10, @ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0) in
let (carry0, zs0) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys carry in
let (carry1, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y10 carry0 in
(carry1, (zs0, z)) in
(carry0, (zs, z)) in
let y10 :=
let (_, y10) :=
@muldwf (@x86.W (Z.of_nat 64) ops) (@x86.muldwf (Z.of_nat 64) ops)
(let (_, y10) := y7 in y10) (let (x1, _) := y6 in x1) in
y10 in
let (_, out1) :=
let (xs0, x1) := out0 in
let (carry, zs) :=
let (xs1, x2) := xs0 in
let (ys, y11) :=
let (r1, _) := y10 in
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
let (_, y11) :=
@shlf (@x86.W (Z.of_nat 64) ops) (@x86.shlf (Z.of_nat 64) ops) r1 0 in
y11) in
let (carry, zs) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys false in
let (carry0, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y11 carry in
(carry0, (zs, z)) in
let (carry0, z) :=
let (xs1, x2) := x1 in
let (ys, y11) :=
let (_, r2) := y10 in
(let (_, y11) :=
@shrf (@x86.W (Z.of_nat 64) ops) (@x86.shrf (Z.of_nat 64) ops) r2 0 in
y11, @ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0) in
let (carry0, zs0) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs1 ys carry in
let (carry1, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x2 y11 carry0 in
(carry1, (zs0, z)) in
(carry0, (zs, z)) in
out1 in
let (_, out0) :=
let (xs0, x1) := out in
let (carry, zs) :=
let (xs1, x2) := xs0 in
let (ys, y7) :=
let (r1, _) := y6 in
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
let (r3, r4) := r1 in (r3, r4)) in
let (carry, zs) :=
let (xs2, x3) := xs1 in
let (ys0, y8) := ys in
let (carry, zs) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs2 ys0 false in
let (carry0, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x3 y8 carry in
(carry0, (zs, z)) in
let (carry0, z) :=
let (xs2, x3) := x2 in
let (ys0, y8) := y7 in
let (carry0, zs0) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs2 ys0 carry in
let (carry1, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x3 y8 carry0 in
(carry1, (zs0, z)) in
(carry0, (zs, z)) in
let (carry0, z) :=
let (xs1, x2) := x1 in
let (ys, y7) :=
let (_, r2) := y6 in
(let (r3, r4) := r2 in (r3, r4),
(@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0,
@ldi (@x86.W (Z.of_nat 64) ops) (@x86.ldi (Z.of_nat 64) ops) 0)) in
let (carry0, zs0) :=
let (xs2, x3) := xs1 in
let (ys0, y8) := ys in
let (carry0, zs0) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs2 ys0 carry in
let (carry1, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x3 y8 carry0 in
(carry1, (zs0, z)) in
let (carry1, z) :=
let (xs2, x3) := x2 in
let (ys0, y8) := y7 in
let (carry1, zs1) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) xs2 ys0 carry0 in
let (carry2, z) :=
@adc (@x86.W (Z.of_nat 64) ops) (@x86.adc (Z.of_nat 64) ops) x3 y8 carry1 in
(carry2, (zs1, z)) in
(carry1, (zs0, z)) in
(carry0, (zs, z)) in
out0 in
x1 in
let (carry, zs) :=
let (xs0, x1) := xs in
let (ys0, y3) := ys in
let (carry, zs) :=
@subc (@x86.W (Z.of_nat 64) ops) (@x86.subc (Z.of_nat 64) ops) xs0 ys0 false in
let (carry0, z) :=
@subc (@x86.W (Z.of_nat 64) ops) (@x86.subc (Z.of_nat 64) ops) x1 y3 carry in
(carry0, (zs, z)) in
let (carry0, z) :=
let (xs0, x1) := x0 in
let (ys0, y3) := y2 in
let (carry0, zs0) :=
@subc (@x86.W (Z.of_nat 64) ops) (@x86.subc (Z.of_nat 64) ops) xs0 ys0 carry in
let (carry1, z) :=
@subc (@x86.W (Z.of_nat 64) ops) (@x86.subc (Z.of_nat 64) ops) x1 y3 carry0 in
(carry1, (zs0, z)) in
(carry0, (zs, z)) in
y2 in
let (CF, _) :=
let (xs, x0) := y2 in
let (ys, y3) := y in
let (carry, zs) :=
let (xs0, x1) := xs in
let (ys0, y4) := ys in
let (carry, zs) :=
@subc (@x86.W (Z.of_nat 64) ops) (@x86.subc (Z.of_nat 64) ops) xs0 ys0 false in
let (carry0, z) :=
@subc (@x86.W (Z.of_nat 64) ops) (@x86.subc (Z.of_nat 64) ops) x1 y4 carry in
(carry0, (zs, z)) in
let (carry0, z) :=
let (xs0, x1) := x0 in
let (ys0, y4) := y3 in
let (carry0, zs0) :=
@subc (@x86.W (Z.of_nat 64) ops) (@x86.subc (Z.of_nat 64) ops) xs0 ys0 carry in
let (carry1, z) :=
@subc (@x86.W (Z.of_nat 64) ops) (@x86.subc (Z.of_nat 64) ops) x1 y4 carry0 in
(carry1, (zs0, z)) in
(carry0, (zs, z)) in
let (_, y3) :=
let (xs, x0) := y2 in
let (ys, y3) :=
let (x1, x2) := y1 in
let (y3, y4) := y in
(let (x3, x4) := x1 in
let (y5, y6) := y3 in
(@selc (@x86.W (Z.of_nat 64) ops) (@x86.selc (Z.of_nat 64) ops) CF x3 y5,
@selc (@x86.W (Z.of_nat 64) ops) (@x86.selc (Z.of_nat 64) ops) CF x4 y6),
let (x3, x4) := x2 in
let (y5, y6) := y4 in
(@selc (@x86.W (Z.of_nat 64) ops) (@x86.selc (Z.of_nat 64) ops) CF x3 y5,
@selc (@x86.W (Z.of_nat 64) ops) (@x86.selc (Z.of_nat 64) ops) CF x4 y6)) in
let (carry, zs) :=
let (xs0, x1) := xs in
let (ys0, y4) := ys in
let (carry, zs) :=
@subc (@x86.W (Z.of_nat 64) ops) (@x86.subc (Z.of_nat 64) ops) xs0 ys0 false in
let (carry0, z) :=
@subc (@x86.W (Z.of_nat 64) ops) (@x86.subc (Z.of_nat 64) ops) x1 y4 carry in
(carry0, (zs, z)) in
let (carry0, z) :=
let (xs0, x1) := x0 in
let (ys0, y4) := y3 in
let (carry0, zs0) :=
@subc (@x86.W (Z.of_nat 64) ops) (@x86.subc (Z.of_nat 64) ops) xs0 ys0 carry in
let (carry1, z) :=
@subc (@x86.W (Z.of_nat 64) ops) (@x86.subc (Z.of_nat 64) ops) x1 y4 carry0 in
(carry1, (zs0, z)) in
(carry0, (zs, z)) in
y3 in
let (CF, _) :=
let (xs, x0) := y2 in
let (ys, y3) := y in
let (carry, zs) :=
let (xs0, x1) := xs in
let (ys0, y4) := ys in
let (carry, zs) :=
@subc (@x86.W (Z.of_nat 64) ops) (@x86.subc (Z.of_nat 64) ops) xs0 ys0 false in
let (carry0, z) :=
@subc (@x86.W (Z.of_nat 64) ops) (@x86.subc (Z.of_nat 64) ops) x1 y4 carry in
(carry0, (zs, z)) in
let (carry0, z) :=
let (xs0, x1) := x0 in
let (ys0, y4) := y3 in
let (carry0, zs0) :=
@subc (@x86.W (Z.of_nat 64) ops) (@x86.subc (Z.of_nat 64) ops) xs0 ys0 carry in
let (carry1, z) :=
@subc (@x86.W (Z.of_nat 64) ops) (@x86.subc (Z.of_nat 64) ops) x1 y4 carry0 in
(carry1, (zs0, z)) in
(carry0, (zs, z)) in
let (_, y3) :=
let (xs, x0) := y2 in
let (ys, y3) :=
let (x1, x2) := y1 in
let (y3, y4) := y in
(let (x3, x4) := x1 in
let (y5, y6) := y3 in
(@selc (@x86.W (Z.of_nat 64) ops) (@x86.selc (Z.of_nat 64) ops) CF x3 y5,
@selc (@x86.W (Z.of_nat 64) ops) (@x86.selc (Z.of_nat 64) ops) CF x4 y6),
let (x3, x4) := x2 in
let (y5, y6) := y4 in
(@selc (@x86.W (Z.of_nat 64) ops) (@x86.selc (Z.of_nat 64) ops) CF x3 y5,
@selc (@x86.W (Z.of_nat 64) ops) (@x86.selc (Z.of_nat 64) ops) CF x4 y6)) in
let (carry, zs) :=
let (xs0, x1) := xs in