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Unified Diff: third_party/boringssl/linux-aarch64/crypto/bn/armv8-mont.S

Issue 2219933002: Land BoringSSL roll on master (Closed) Base URL: git@github.com:dart-lang/sdk.git@master
Patch Set: Created 4 years, 4 months ago
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Index: third_party/boringssl/linux-aarch64/crypto/bn/armv8-mont.S
diff --git a/third_party/boringssl/linux-aarch64/crypto/bn/armv8-mont.S b/third_party/boringssl/linux-aarch64/crypto/bn/armv8-mont.S
new file mode 100644
index 0000000000000000000000000000000000000000..74702db6aa9c12910def36097b06715804a162e9
--- /dev/null
+++ b/third_party/boringssl/linux-aarch64/crypto/bn/armv8-mont.S
@@ -0,0 +1,1407 @@
+#if defined(__aarch64__)
+.text
+
+.globl bn_mul_mont
+.hidden bn_mul_mont
+.type bn_mul_mont,%function
+.align 5
+bn_mul_mont:
+ tst x5,#7
+ b.eq __bn_sqr8x_mont
+ tst x5,#3
+ b.eq __bn_mul4x_mont
+.Lmul_mont:
+ stp x29,x30,[sp,#-64]!
+ add x29,sp,#0
+ stp x19,x20,[sp,#16]
+ stp x21,x22,[sp,#32]
+ stp x23,x24,[sp,#48]
+
+ ldr x9,[x2],#8 // bp[0]
+ sub x22,sp,x5,lsl#3
+ ldp x7,x8,[x1],#16 // ap[0..1]
+ lsl x5,x5,#3
+ ldr x4,[x4] // *n0
+ and x22,x22,#-16 // ABI says so
+ ldp x13,x14,[x3],#16 // np[0..1]
+
+ mul x6,x7,x9 // ap[0]*bp[0]
+ sub x21,x5,#16 // j=num-2
+ umulh x7,x7,x9
+ mul x10,x8,x9 // ap[1]*bp[0]
+ umulh x11,x8,x9
+
+ mul x15,x6,x4 // "tp[0]"*n0
+ mov sp,x22 // alloca
+
+ // (*) mul x12,x13,x15 // np[0]*m1
+ umulh x13,x13,x15
+ mul x16,x14,x15 // np[1]*m1
+ // (*) adds x12,x12,x6 // discarded
+ // (*) As for removal of first multiplication and addition
+ // instructions. The outcome of first addition is
+ // guaranteed to be zero, which leaves two computationally
+ // significant outcomes: it either carries or not. Then
+ // question is when does it carry? Is there alternative
+ // way to deduce it? If you follow operations, you can
+ // observe that condition for carry is quite simple:
+ // x6 being non-zero. So that carry can be calculated
+ // by adding -1 to x6. That's what next instruction does.
+ subs xzr,x6,#1 // (*)
+ umulh x17,x14,x15
+ adc x13,x13,xzr
+ cbz x21,.L1st_skip
+
+.L1st:
+ ldr x8,[x1],#8
+ adds x6,x10,x7
+ sub x21,x21,#8 // j--
+ adc x7,x11,xzr
+
+ ldr x14,[x3],#8
+ adds x12,x16,x13
+ mul x10,x8,x9 // ap[j]*bp[0]
+ adc x13,x17,xzr
+ umulh x11,x8,x9
+
+ adds x12,x12,x6
+ mul x16,x14,x15 // np[j]*m1
+ adc x13,x13,xzr
+ umulh x17,x14,x15
+ str x12,[x22],#8 // tp[j-1]
+ cbnz x21,.L1st
+
+.L1st_skip:
+ adds x6,x10,x7
+ sub x1,x1,x5 // rewind x1
+ adc x7,x11,xzr
+
+ adds x12,x16,x13
+ sub x3,x3,x5 // rewind x3
+ adc x13,x17,xzr
+
+ adds x12,x12,x6
+ sub x20,x5,#8 // i=num-1
+ adcs x13,x13,x7
+
+ adc x19,xzr,xzr // upmost overflow bit
+ stp x12,x13,[x22]
+
+.Louter:
+ ldr x9,[x2],#8 // bp[i]
+ ldp x7,x8,[x1],#16
+ ldr x23,[sp] // tp[0]
+ add x22,sp,#8
+
+ mul x6,x7,x9 // ap[0]*bp[i]
+ sub x21,x5,#16 // j=num-2
+ umulh x7,x7,x9
+ ldp x13,x14,[x3],#16
+ mul x10,x8,x9 // ap[1]*bp[i]
+ adds x6,x6,x23
+ umulh x11,x8,x9
+ adc x7,x7,xzr
+
+ mul x15,x6,x4
+ sub x20,x20,#8 // i--
+
+ // (*) mul x12,x13,x15 // np[0]*m1
+ umulh x13,x13,x15
+ mul x16,x14,x15 // np[1]*m1
+ // (*) adds x12,x12,x6
+ subs xzr,x6,#1 // (*)
+ umulh x17,x14,x15
+ cbz x21,.Linner_skip
+
+.Linner:
+ ldr x8,[x1],#8
+ adc x13,x13,xzr
+ ldr x23,[x22],#8 // tp[j]
+ adds x6,x10,x7
+ sub x21,x21,#8 // j--
+ adc x7,x11,xzr
+
+ adds x12,x16,x13
+ ldr x14,[x3],#8
+ adc x13,x17,xzr
+
+ mul x10,x8,x9 // ap[j]*bp[i]
+ adds x6,x6,x23
+ umulh x11,x8,x9
+ adc x7,x7,xzr
+
+ mul x16,x14,x15 // np[j]*m1
+ adds x12,x12,x6
+ umulh x17,x14,x15
+ str x12,[x22,#-16] // tp[j-1]
+ cbnz x21,.Linner
+
+.Linner_skip:
+ ldr x23,[x22],#8 // tp[j]
+ adc x13,x13,xzr
+ adds x6,x10,x7
+ sub x1,x1,x5 // rewind x1
+ adc x7,x11,xzr
+
+ adds x12,x16,x13
+ sub x3,x3,x5 // rewind x3
+ adcs x13,x17,x19
+ adc x19,xzr,xzr
+
+ adds x6,x6,x23
+ adc x7,x7,xzr
+
+ adds x12,x12,x6
+ adcs x13,x13,x7
+ adc x19,x19,xzr // upmost overflow bit
+ stp x12,x13,[x22,#-16]
+
+ cbnz x20,.Louter
+
+ // Final step. We see if result is larger than modulus, and
+ // if it is, subtract the modulus. But comparison implies
+ // subtraction. So we subtract modulus, see if it borrowed,
+ // and conditionally copy original value.
+ ldr x23,[sp] // tp[0]
+ add x22,sp,#8
+ ldr x14,[x3],#8 // np[0]
+ subs x21,x5,#8 // j=num-1 and clear borrow
+ mov x1,x0
+.Lsub:
+ sbcs x8,x23,x14 // tp[j]-np[j]
+ ldr x23,[x22],#8
+ sub x21,x21,#8 // j--
+ ldr x14,[x3],#8
+ str x8,[x1],#8 // rp[j]=tp[j]-np[j]
+ cbnz x21,.Lsub
+
+ sbcs x8,x23,x14
+ sbcs x19,x19,xzr // did it borrow?
+ str x8,[x1],#8 // rp[num-1]
+
+ ldr x23,[sp] // tp[0]
+ add x22,sp,#8
+ ldr x8,[x0],#8 // rp[0]
+ sub x5,x5,#8 // num--
+ nop
+.Lcond_copy:
+ sub x5,x5,#8 // num--
+ csel x14,x23,x8,lo // did it borrow?
+ ldr x23,[x22],#8
+ ldr x8,[x0],#8
+ str xzr,[x22,#-16] // wipe tp
+ str x14,[x0,#-16]
+ cbnz x5,.Lcond_copy
+
+ csel x14,x23,x8,lo
+ str xzr,[x22,#-8] // wipe tp
+ str x14,[x0,#-8]
+
+ ldp x19,x20,[x29,#16]
+ mov sp,x29
+ ldp x21,x22,[x29,#32]
+ mov x0,#1
+ ldp x23,x24,[x29,#48]
+ ldr x29,[sp],#64
+ ret
+.size bn_mul_mont,.-bn_mul_mont
+.type __bn_sqr8x_mont,%function
+.align 5
+__bn_sqr8x_mont:
+ cmp x1,x2
+ b.ne __bn_mul4x_mont
+.Lsqr8x_mont:
+ stp x29,x30,[sp,#-128]!
+ add x29,sp,#0
+ stp x19,x20,[sp,#16]
+ stp x21,x22,[sp,#32]
+ stp x23,x24,[sp,#48]
+ stp x25,x26,[sp,#64]
+ stp x27,x28,[sp,#80]
+ stp x0,x3,[sp,#96] // offload rp and np
+
+ ldp x6,x7,[x1,#8*0]
+ ldp x8,x9,[x1,#8*2]
+ ldp x10,x11,[x1,#8*4]
+ ldp x12,x13,[x1,#8*6]
+
+ sub x2,sp,x5,lsl#4
+ lsl x5,x5,#3
+ ldr x4,[x4] // *n0
+ mov sp,x2 // alloca
+ sub x27,x5,#8*8
+ b .Lsqr8x_zero_start
+
+.Lsqr8x_zero:
+ sub x27,x27,#8*8
+ stp xzr,xzr,[x2,#8*0]
+ stp xzr,xzr,[x2,#8*2]
+ stp xzr,xzr,[x2,#8*4]
+ stp xzr,xzr,[x2,#8*6]
+.Lsqr8x_zero_start:
+ stp xzr,xzr,[x2,#8*8]
+ stp xzr,xzr,[x2,#8*10]
+ stp xzr,xzr,[x2,#8*12]
+ stp xzr,xzr,[x2,#8*14]
+ add x2,x2,#8*16
+ cbnz x27,.Lsqr8x_zero
+
+ add x3,x1,x5
+ add x1,x1,#8*8
+ mov x19,xzr
+ mov x20,xzr
+ mov x21,xzr
+ mov x22,xzr
+ mov x23,xzr
+ mov x24,xzr
+ mov x25,xzr
+ mov x26,xzr
+ mov x2,sp
+ str x4,[x29,#112] // offload n0
+
+ // Multiply everything but a[i]*a[i]
+.align 4
+.Lsqr8x_outer_loop:
+ // a[1]a[0] (i)
+ // a[2]a[0]
+ // a[3]a[0]
+ // a[4]a[0]
+ // a[5]a[0]
+ // a[6]a[0]
+ // a[7]a[0]
+ // a[2]a[1] (ii)
+ // a[3]a[1]
+ // a[4]a[1]
+ // a[5]a[1]
+ // a[6]a[1]
+ // a[7]a[1]
+ // a[3]a[2] (iii)
+ // a[4]a[2]
+ // a[5]a[2]
+ // a[6]a[2]
+ // a[7]a[2]
+ // a[4]a[3] (iv)
+ // a[5]a[3]
+ // a[6]a[3]
+ // a[7]a[3]
+ // a[5]a[4] (v)
+ // a[6]a[4]
+ // a[7]a[4]
+ // a[6]a[5] (vi)
+ // a[7]a[5]
+ // a[7]a[6] (vii)
+
+ mul x14,x7,x6 // lo(a[1..7]*a[0]) (i)
+ mul x15,x8,x6
+ mul x16,x9,x6
+ mul x17,x10,x6
+ adds x20,x20,x14 // t[1]+lo(a[1]*a[0])
+ mul x14,x11,x6
+ adcs x21,x21,x15
+ mul x15,x12,x6
+ adcs x22,x22,x16
+ mul x16,x13,x6
+ adcs x23,x23,x17
+ umulh x17,x7,x6 // hi(a[1..7]*a[0])
+ adcs x24,x24,x14
+ umulh x14,x8,x6
+ adcs x25,x25,x15
+ umulh x15,x9,x6
+ adcs x26,x26,x16
+ umulh x16,x10,x6
+ stp x19,x20,[x2],#8*2 // t[0..1]
+ adc x19,xzr,xzr // t[8]
+ adds x21,x21,x17 // t[2]+lo(a[1]*a[0])
+ umulh x17,x11,x6
+ adcs x22,x22,x14
+ umulh x14,x12,x6
+ adcs x23,x23,x15
+ umulh x15,x13,x6
+ adcs x24,x24,x16
+ mul x16,x8,x7 // lo(a[2..7]*a[1]) (ii)
+ adcs x25,x25,x17
+ mul x17,x9,x7
+ adcs x26,x26,x14
+ mul x14,x10,x7
+ adc x19,x19,x15
+
+ mul x15,x11,x7
+ adds x22,x22,x16
+ mul x16,x12,x7
+ adcs x23,x23,x17
+ mul x17,x13,x7
+ adcs x24,x24,x14
+ umulh x14,x8,x7 // hi(a[2..7]*a[1])
+ adcs x25,x25,x15
+ umulh x15,x9,x7
+ adcs x26,x26,x16
+ umulh x16,x10,x7
+ adcs x19,x19,x17
+ umulh x17,x11,x7
+ stp x21,x22,[x2],#8*2 // t[2..3]
+ adc x20,xzr,xzr // t[9]
+ adds x23,x23,x14
+ umulh x14,x12,x7
+ adcs x24,x24,x15
+ umulh x15,x13,x7
+ adcs x25,x25,x16
+ mul x16,x9,x8 // lo(a[3..7]*a[2]) (iii)
+ adcs x26,x26,x17
+ mul x17,x10,x8
+ adcs x19,x19,x14
+ mul x14,x11,x8
+ adc x20,x20,x15
+
+ mul x15,x12,x8
+ adds x24,x24,x16
+ mul x16,x13,x8
+ adcs x25,x25,x17
+ umulh x17,x9,x8 // hi(a[3..7]*a[2])
+ adcs x26,x26,x14
+ umulh x14,x10,x8
+ adcs x19,x19,x15
+ umulh x15,x11,x8
+ adcs x20,x20,x16
+ umulh x16,x12,x8
+ stp x23,x24,[x2],#8*2 // t[4..5]
+ adc x21,xzr,xzr // t[10]
+ adds x25,x25,x17
+ umulh x17,x13,x8
+ adcs x26,x26,x14
+ mul x14,x10,x9 // lo(a[4..7]*a[3]) (iv)
+ adcs x19,x19,x15
+ mul x15,x11,x9
+ adcs x20,x20,x16
+ mul x16,x12,x9
+ adc x21,x21,x17
+
+ mul x17,x13,x9
+ adds x26,x26,x14
+ umulh x14,x10,x9 // hi(a[4..7]*a[3])
+ adcs x19,x19,x15
+ umulh x15,x11,x9
+ adcs x20,x20,x16
+ umulh x16,x12,x9
+ adcs x21,x21,x17
+ umulh x17,x13,x9
+ stp x25,x26,[x2],#8*2 // t[6..7]
+ adc x22,xzr,xzr // t[11]
+ adds x19,x19,x14
+ mul x14,x11,x10 // lo(a[5..7]*a[4]) (v)
+ adcs x20,x20,x15
+ mul x15,x12,x10
+ adcs x21,x21,x16
+ mul x16,x13,x10
+ adc x22,x22,x17
+
+ umulh x17,x11,x10 // hi(a[5..7]*a[4])
+ adds x20,x20,x14
+ umulh x14,x12,x10
+ adcs x21,x21,x15
+ umulh x15,x13,x10
+ adcs x22,x22,x16
+ mul x16,x12,x11 // lo(a[6..7]*a[5]) (vi)
+ adc x23,xzr,xzr // t[12]
+ adds x21,x21,x17
+ mul x17,x13,x11
+ adcs x22,x22,x14
+ umulh x14,x12,x11 // hi(a[6..7]*a[5])
+ adc x23,x23,x15
+
+ umulh x15,x13,x11
+ adds x22,x22,x16
+ mul x16,x13,x12 // lo(a[7]*a[6]) (vii)
+ adcs x23,x23,x17
+ umulh x17,x13,x12 // hi(a[7]*a[6])
+ adc x24,xzr,xzr // t[13]
+ adds x23,x23,x14
+ sub x27,x3,x1 // done yet?
+ adc x24,x24,x15
+
+ adds x24,x24,x16
+ sub x14,x3,x5 // rewinded ap
+ adc x25,xzr,xzr // t[14]
+ add x25,x25,x17
+
+ cbz x27,.Lsqr8x_outer_break
+
+ mov x4,x6
+ ldp x6,x7,[x2,#8*0]
+ ldp x8,x9,[x2,#8*2]
+ ldp x10,x11,[x2,#8*4]
+ ldp x12,x13,[x2,#8*6]
+ adds x19,x19,x6
+ adcs x20,x20,x7
+ ldp x6,x7,[x1,#8*0]
+ adcs x21,x21,x8
+ adcs x22,x22,x9
+ ldp x8,x9,[x1,#8*2]
+ adcs x23,x23,x10
+ adcs x24,x24,x11
+ ldp x10,x11,[x1,#8*4]
+ adcs x25,x25,x12
+ mov x0,x1
+ adcs x26,xzr,x13
+ ldp x12,x13,[x1,#8*6]
+ add x1,x1,#8*8
+ //adc x28,xzr,xzr // moved below
+ mov x27,#-8*8
+
+ // a[8]a[0]
+ // a[9]a[0]
+ // a[a]a[0]
+ // a[b]a[0]
+ // a[c]a[0]
+ // a[d]a[0]
+ // a[e]a[0]
+ // a[f]a[0]
+ // a[8]a[1]
+ // a[f]a[1]........................
+ // a[8]a[2]
+ // a[f]a[2]........................
+ // a[8]a[3]
+ // a[f]a[3]........................
+ // a[8]a[4]
+ // a[f]a[4]........................
+ // a[8]a[5]
+ // a[f]a[5]........................
+ // a[8]a[6]
+ // a[f]a[6]........................
+ // a[8]a[7]
+ // a[f]a[7]........................
+.Lsqr8x_mul:
+ mul x14,x6,x4
+ adc x28,xzr,xzr // carry bit, modulo-scheduled
+ mul x15,x7,x4
+ add x27,x27,#8
+ mul x16,x8,x4
+ mul x17,x9,x4
+ adds x19,x19,x14
+ mul x14,x10,x4
+ adcs x20,x20,x15
+ mul x15,x11,x4
+ adcs x21,x21,x16
+ mul x16,x12,x4
+ adcs x22,x22,x17
+ mul x17,x13,x4
+ adcs x23,x23,x14
+ umulh x14,x6,x4
+ adcs x24,x24,x15
+ umulh x15,x7,x4
+ adcs x25,x25,x16
+ umulh x16,x8,x4
+ adcs x26,x26,x17
+ umulh x17,x9,x4
+ adc x28,x28,xzr
+ str x19,[x2],#8
+ adds x19,x20,x14
+ umulh x14,x10,x4
+ adcs x20,x21,x15
+ umulh x15,x11,x4
+ adcs x21,x22,x16
+ umulh x16,x12,x4
+ adcs x22,x23,x17
+ umulh x17,x13,x4
+ ldr x4,[x0,x27]
+ adcs x23,x24,x14
+ adcs x24,x25,x15
+ adcs x25,x26,x16
+ adcs x26,x28,x17
+ //adc x28,xzr,xzr // moved above
+ cbnz x27,.Lsqr8x_mul
+ // note that carry flag is guaranteed
+ // to be zero at this point
+ cmp x1,x3 // done yet?
+ b.eq .Lsqr8x_break
+
+ ldp x6,x7,[x2,#8*0]
+ ldp x8,x9,[x2,#8*2]
+ ldp x10,x11,[x2,#8*4]
+ ldp x12,x13,[x2,#8*6]
+ adds x19,x19,x6
+ ldr x4,[x0,#-8*8]
+ adcs x20,x20,x7
+ ldp x6,x7,[x1,#8*0]
+ adcs x21,x21,x8
+ adcs x22,x22,x9
+ ldp x8,x9,[x1,#8*2]
+ adcs x23,x23,x10
+ adcs x24,x24,x11
+ ldp x10,x11,[x1,#8*4]
+ adcs x25,x25,x12
+ mov x27,#-8*8
+ adcs x26,x26,x13
+ ldp x12,x13,[x1,#8*6]
+ add x1,x1,#8*8
+ //adc x28,xzr,xzr // moved above
+ b .Lsqr8x_mul
+
+.align 4
+.Lsqr8x_break:
+ ldp x6,x7,[x0,#8*0]
+ add x1,x0,#8*8
+ ldp x8,x9,[x0,#8*2]
+ sub x14,x3,x1 // is it last iteration?
+ ldp x10,x11,[x0,#8*4]
+ sub x15,x2,x14
+ ldp x12,x13,[x0,#8*6]
+ cbz x14,.Lsqr8x_outer_loop
+
+ stp x19,x20,[x2,#8*0]
+ ldp x19,x20,[x15,#8*0]
+ stp x21,x22,[x2,#8*2]
+ ldp x21,x22,[x15,#8*2]
+ stp x23,x24,[x2,#8*4]
+ ldp x23,x24,[x15,#8*4]
+ stp x25,x26,[x2,#8*6]
+ mov x2,x15
+ ldp x25,x26,[x15,#8*6]
+ b .Lsqr8x_outer_loop
+
+.align 4
+.Lsqr8x_outer_break:
+ // Now multiply above result by 2 and add a[n-1]*a[n-1]|...|a[0]*a[0]
+ ldp x7,x9,[x14,#8*0] // recall that x14 is &a[0]
+ ldp x15,x16,[sp,#8*1]
+ ldp x11,x13,[x14,#8*2]
+ add x1,x14,#8*4
+ ldp x17,x14,[sp,#8*3]
+
+ stp x19,x20,[x2,#8*0]
+ mul x19,x7,x7
+ stp x21,x22,[x2,#8*2]
+ umulh x7,x7,x7
+ stp x23,x24,[x2,#8*4]
+ mul x8,x9,x9
+ stp x25,x26,[x2,#8*6]
+ mov x2,sp
+ umulh x9,x9,x9
+ adds x20,x7,x15,lsl#1
+ extr x15,x16,x15,#63
+ sub x27,x5,#8*4
+
+.Lsqr4x_shift_n_add:
+ adcs x21,x8,x15
+ extr x16,x17,x16,#63
+ sub x27,x27,#8*4
+ adcs x22,x9,x16
+ ldp x15,x16,[x2,#8*5]
+ mul x10,x11,x11
+ ldp x7,x9,[x1],#8*2
+ umulh x11,x11,x11
+ mul x12,x13,x13
+ umulh x13,x13,x13
+ extr x17,x14,x17,#63
+ stp x19,x20,[x2,#8*0]
+ adcs x23,x10,x17
+ extr x14,x15,x14,#63
+ stp x21,x22,[x2,#8*2]
+ adcs x24,x11,x14
+ ldp x17,x14,[x2,#8*7]
+ extr x15,x16,x15,#63
+ adcs x25,x12,x15
+ extr x16,x17,x16,#63
+ adcs x26,x13,x16
+ ldp x15,x16,[x2,#8*9]
+ mul x6,x7,x7
+ ldp x11,x13,[x1],#8*2
+ umulh x7,x7,x7
+ mul x8,x9,x9
+ umulh x9,x9,x9
+ stp x23,x24,[x2,#8*4]
+ extr x17,x14,x17,#63
+ stp x25,x26,[x2,#8*6]
+ add x2,x2,#8*8
+ adcs x19,x6,x17
+ extr x14,x15,x14,#63
+ adcs x20,x7,x14
+ ldp x17,x14,[x2,#8*3]
+ extr x15,x16,x15,#63
+ cbnz x27,.Lsqr4x_shift_n_add
+ ldp x1,x4,[x29,#104] // pull np and n0
+
+ adcs x21,x8,x15
+ extr x16,x17,x16,#63
+ adcs x22,x9,x16
+ ldp x15,x16,[x2,#8*5]
+ mul x10,x11,x11
+ umulh x11,x11,x11
+ stp x19,x20,[x2,#8*0]
+ mul x12,x13,x13
+ umulh x13,x13,x13
+ stp x21,x22,[x2,#8*2]
+ extr x17,x14,x17,#63
+ adcs x23,x10,x17
+ extr x14,x15,x14,#63
+ ldp x19,x20,[sp,#8*0]
+ adcs x24,x11,x14
+ extr x15,x16,x15,#63
+ ldp x6,x7,[x1,#8*0]
+ adcs x25,x12,x15
+ extr x16,xzr,x16,#63
+ ldp x8,x9,[x1,#8*2]
+ adc x26,x13,x16
+ ldp x10,x11,[x1,#8*4]
+
+ // Reduce by 512 bits per iteration
+ mul x28,x4,x19 // t[0]*n0
+ ldp x12,x13,[x1,#8*6]
+ add x3,x1,x5
+ ldp x21,x22,[sp,#8*2]
+ stp x23,x24,[x2,#8*4]
+ ldp x23,x24,[sp,#8*4]
+ stp x25,x26,[x2,#8*6]
+ ldp x25,x26,[sp,#8*6]
+ add x1,x1,#8*8
+ mov x30,xzr // initial top-most carry
+ mov x2,sp
+ mov x27,#8
+
+.Lsqr8x_reduction:
+ // (*) mul x14,x6,x28 // lo(n[0-7])*lo(t[0]*n0)
+ mul x15,x7,x28
+ sub x27,x27,#1
+ mul x16,x8,x28
+ str x28,[x2],#8 // put aside t[0]*n0 for tail processing
+ mul x17,x9,x28
+ // (*) adds xzr,x19,x14
+ subs xzr,x19,#1 // (*)
+ mul x14,x10,x28
+ adcs x19,x20,x15
+ mul x15,x11,x28
+ adcs x20,x21,x16
+ mul x16,x12,x28
+ adcs x21,x22,x17
+ mul x17,x13,x28
+ adcs x22,x23,x14
+ umulh x14,x6,x28 // hi(n[0-7])*lo(t[0]*n0)
+ adcs x23,x24,x15
+ umulh x15,x7,x28
+ adcs x24,x25,x16
+ umulh x16,x8,x28
+ adcs x25,x26,x17
+ umulh x17,x9,x28
+ adc x26,xzr,xzr
+ adds x19,x19,x14
+ umulh x14,x10,x28
+ adcs x20,x20,x15
+ umulh x15,x11,x28
+ adcs x21,x21,x16
+ umulh x16,x12,x28
+ adcs x22,x22,x17
+ umulh x17,x13,x28
+ mul x28,x4,x19 // next t[0]*n0
+ adcs x23,x23,x14
+ adcs x24,x24,x15
+ adcs x25,x25,x16
+ adc x26,x26,x17
+ cbnz x27,.Lsqr8x_reduction
+
+ ldp x14,x15,[x2,#8*0]
+ ldp x16,x17,[x2,#8*2]
+ mov x0,x2
+ sub x27,x3,x1 // done yet?
+ adds x19,x19,x14
+ adcs x20,x20,x15
+ ldp x14,x15,[x2,#8*4]
+ adcs x21,x21,x16
+ adcs x22,x22,x17
+ ldp x16,x17,[x2,#8*6]
+ adcs x23,x23,x14
+ adcs x24,x24,x15
+ adcs x25,x25,x16
+ adcs x26,x26,x17
+ //adc x28,xzr,xzr // moved below
+ cbz x27,.Lsqr8x8_post_condition
+
+ ldr x4,[x2,#-8*8]
+ ldp x6,x7,[x1,#8*0]
+ ldp x8,x9,[x1,#8*2]
+ ldp x10,x11,[x1,#8*4]
+ mov x27,#-8*8
+ ldp x12,x13,[x1,#8*6]
+ add x1,x1,#8*8
+
+.Lsqr8x_tail:
+ mul x14,x6,x4
+ adc x28,xzr,xzr // carry bit, modulo-scheduled
+ mul x15,x7,x4
+ add x27,x27,#8
+ mul x16,x8,x4
+ mul x17,x9,x4
+ adds x19,x19,x14
+ mul x14,x10,x4
+ adcs x20,x20,x15
+ mul x15,x11,x4
+ adcs x21,x21,x16
+ mul x16,x12,x4
+ adcs x22,x22,x17
+ mul x17,x13,x4
+ adcs x23,x23,x14
+ umulh x14,x6,x4
+ adcs x24,x24,x15
+ umulh x15,x7,x4
+ adcs x25,x25,x16
+ umulh x16,x8,x4
+ adcs x26,x26,x17
+ umulh x17,x9,x4
+ adc x28,x28,xzr
+ str x19,[x2],#8
+ adds x19,x20,x14
+ umulh x14,x10,x4
+ adcs x20,x21,x15
+ umulh x15,x11,x4
+ adcs x21,x22,x16
+ umulh x16,x12,x4
+ adcs x22,x23,x17
+ umulh x17,x13,x4
+ ldr x4,[x0,x27]
+ adcs x23,x24,x14
+ adcs x24,x25,x15
+ adcs x25,x26,x16
+ adcs x26,x28,x17
+ //adc x28,xzr,xzr // moved above
+ cbnz x27,.Lsqr8x_tail
+ // note that carry flag is guaranteed
+ // to be zero at this point
+ ldp x6,x7,[x2,#8*0]
+ sub x27,x3,x1 // done yet?
+ sub x16,x3,x5 // rewinded np
+ ldp x8,x9,[x2,#8*2]
+ ldp x10,x11,[x2,#8*4]
+ ldp x12,x13,[x2,#8*6]
+ cbz x27,.Lsqr8x_tail_break
+
+ ldr x4,[x0,#-8*8]
+ adds x19,x19,x6
+ adcs x20,x20,x7
+ ldp x6,x7,[x1,#8*0]
+ adcs x21,x21,x8
+ adcs x22,x22,x9
+ ldp x8,x9,[x1,#8*2]
+ adcs x23,x23,x10
+ adcs x24,x24,x11
+ ldp x10,x11,[x1,#8*4]
+ adcs x25,x25,x12
+ mov x27,#-8*8
+ adcs x26,x26,x13
+ ldp x12,x13,[x1,#8*6]
+ add x1,x1,#8*8
+ //adc x28,xzr,xzr // moved above
+ b .Lsqr8x_tail
+
+.align 4
+.Lsqr8x_tail_break:
+ ldr x4,[x29,#112] // pull n0
+ add x27,x2,#8*8 // end of current t[num] window
+
+ subs xzr,x30,#1 // "move" top-most carry to carry bit
+ adcs x14,x19,x6
+ adcs x15,x20,x7
+ ldp x19,x20,[x0,#8*0]
+ adcs x21,x21,x8
+ ldp x6,x7,[x16,#8*0] // recall that x16 is &n[0]
+ adcs x22,x22,x9
+ ldp x8,x9,[x16,#8*2]
+ adcs x23,x23,x10
+ adcs x24,x24,x11
+ ldp x10,x11,[x16,#8*4]
+ adcs x25,x25,x12
+ adcs x26,x26,x13
+ ldp x12,x13,[x16,#8*6]
+ add x1,x16,#8*8
+ adc x30,xzr,xzr // top-most carry
+ mul x28,x4,x19
+ stp x14,x15,[x2,#8*0]
+ stp x21,x22,[x2,#8*2]
+ ldp x21,x22,[x0,#8*2]
+ stp x23,x24,[x2,#8*4]
+ ldp x23,x24,[x0,#8*4]
+ cmp x27,x29 // did we hit the bottom?
+ stp x25,x26,[x2,#8*6]
+ mov x2,x0 // slide the window
+ ldp x25,x26,[x0,#8*6]
+ mov x27,#8
+ b.ne .Lsqr8x_reduction
+
+ // Final step. We see if result is larger than modulus, and
+ // if it is, subtract the modulus. But comparison implies
+ // subtraction. So we subtract modulus, see if it borrowed,
+ // and conditionally copy original value.
+ ldr x0,[x29,#96] // pull rp
+ add x2,x2,#8*8
+ subs x14,x19,x6
+ sbcs x15,x20,x7
+ sub x27,x5,#8*8
+ mov x3,x0 // x0 copy
+
+.Lsqr8x_sub:
+ sbcs x16,x21,x8
+ ldp x6,x7,[x1,#8*0]
+ sbcs x17,x22,x9
+ stp x14,x15,[x0,#8*0]
+ sbcs x14,x23,x10
+ ldp x8,x9,[x1,#8*2]
+ sbcs x15,x24,x11
+ stp x16,x17,[x0,#8*2]
+ sbcs x16,x25,x12
+ ldp x10,x11,[x1,#8*4]
+ sbcs x17,x26,x13
+ ldp x12,x13,[x1,#8*6]
+ add x1,x1,#8*8
+ ldp x19,x20,[x2,#8*0]
+ sub x27,x27,#8*8
+ ldp x21,x22,[x2,#8*2]
+ ldp x23,x24,[x2,#8*4]
+ ldp x25,x26,[x2,#8*6]
+ add x2,x2,#8*8
+ stp x14,x15,[x0,#8*4]
+ sbcs x14,x19,x6
+ stp x16,x17,[x0,#8*6]
+ add x0,x0,#8*8
+ sbcs x15,x20,x7
+ cbnz x27,.Lsqr8x_sub
+
+ sbcs x16,x21,x8
+ mov x2,sp
+ add x1,sp,x5
+ ldp x6,x7,[x3,#8*0]
+ sbcs x17,x22,x9
+ stp x14,x15,[x0,#8*0]
+ sbcs x14,x23,x10
+ ldp x8,x9,[x3,#8*2]
+ sbcs x15,x24,x11
+ stp x16,x17,[x0,#8*2]
+ sbcs x16,x25,x12
+ ldp x19,x20,[x1,#8*0]
+ sbcs x17,x26,x13
+ ldp x21,x22,[x1,#8*2]
+ sbcs xzr,x30,xzr // did it borrow?
+ ldr x30,[x29,#8] // pull return address
+ stp x14,x15,[x0,#8*4]
+ stp x16,x17,[x0,#8*6]
+
+ sub x27,x5,#8*4
+.Lsqr4x_cond_copy:
+ sub x27,x27,#8*4
+ csel x14,x19,x6,lo
+ stp xzr,xzr,[x2,#8*0]
+ csel x15,x20,x7,lo
+ ldp x6,x7,[x3,#8*4]
+ ldp x19,x20,[x1,#8*4]
+ csel x16,x21,x8,lo
+ stp xzr,xzr,[x2,#8*2]
+ add x2,x2,#8*4
+ csel x17,x22,x9,lo
+ ldp x8,x9,[x3,#8*6]
+ ldp x21,x22,[x1,#8*6]
+ add x1,x1,#8*4
+ stp x14,x15,[x3,#8*0]
+ stp x16,x17,[x3,#8*2]
+ add x3,x3,#8*4
+ stp xzr,xzr,[x1,#8*0]
+ stp xzr,xzr,[x1,#8*2]
+ cbnz x27,.Lsqr4x_cond_copy
+
+ csel x14,x19,x6,lo
+ stp xzr,xzr,[x2,#8*0]
+ csel x15,x20,x7,lo
+ stp xzr,xzr,[x2,#8*2]
+ csel x16,x21,x8,lo
+ csel x17,x22,x9,lo
+ stp x14,x15,[x3,#8*0]
+ stp x16,x17,[x3,#8*2]
+
+ b .Lsqr8x_done
+
+.align 4
+.Lsqr8x8_post_condition:
+ adc x28,xzr,xzr
+ ldr x30,[x29,#8] // pull return address
+ // x19-7,x28 hold result, x6-7 hold modulus
+ subs x6,x19,x6
+ ldr x1,[x29,#96] // pull rp
+ sbcs x7,x20,x7
+ stp xzr,xzr,[sp,#8*0]
+ sbcs x8,x21,x8
+ stp xzr,xzr,[sp,#8*2]
+ sbcs x9,x22,x9
+ stp xzr,xzr,[sp,#8*4]
+ sbcs x10,x23,x10
+ stp xzr,xzr,[sp,#8*6]
+ sbcs x11,x24,x11
+ stp xzr,xzr,[sp,#8*8]
+ sbcs x12,x25,x12
+ stp xzr,xzr,[sp,#8*10]
+ sbcs x13,x26,x13
+ stp xzr,xzr,[sp,#8*12]
+ sbcs x28,x28,xzr // did it borrow?
+ stp xzr,xzr,[sp,#8*14]
+
+ // x6-7 hold result-modulus
+ csel x6,x19,x6,lo
+ csel x7,x20,x7,lo
+ csel x8,x21,x8,lo
+ csel x9,x22,x9,lo
+ stp x6,x7,[x1,#8*0]
+ csel x10,x23,x10,lo
+ csel x11,x24,x11,lo
+ stp x8,x9,[x1,#8*2]
+ csel x12,x25,x12,lo
+ csel x13,x26,x13,lo
+ stp x10,x11,[x1,#8*4]
+ stp x12,x13,[x1,#8*6]
+
+.Lsqr8x_done:
+ ldp x19,x20,[x29,#16]
+ mov sp,x29
+ ldp x21,x22,[x29,#32]
+ mov x0,#1
+ ldp x23,x24,[x29,#48]
+ ldp x25,x26,[x29,#64]
+ ldp x27,x28,[x29,#80]
+ ldr x29,[sp],#128
+ ret
+.size __bn_sqr8x_mont,.-__bn_sqr8x_mont
+.type __bn_mul4x_mont,%function
+.align 5
+__bn_mul4x_mont:
+ stp x29,x30,[sp,#-128]!
+ add x29,sp,#0
+ stp x19,x20,[sp,#16]
+ stp x21,x22,[sp,#32]
+ stp x23,x24,[sp,#48]
+ stp x25,x26,[sp,#64]
+ stp x27,x28,[sp,#80]
+
+ sub x26,sp,x5,lsl#3
+ lsl x5,x5,#3
+ ldr x4,[x4] // *n0
+ sub sp,x26,#8*4 // alloca
+
+ add x10,x2,x5
+ add x27,x1,x5
+ stp x0,x10,[x29,#96] // offload rp and &b[num]
+
+ ldr x24,[x2,#8*0] // b[0]
+ ldp x6,x7,[x1,#8*0] // a[0..3]
+ ldp x8,x9,[x1,#8*2]
+ add x1,x1,#8*4
+ mov x19,xzr
+ mov x20,xzr
+ mov x21,xzr
+ mov x22,xzr
+ ldp x14,x15,[x3,#8*0] // n[0..3]
+ ldp x16,x17,[x3,#8*2]
+ adds x3,x3,#8*4 // clear carry bit
+ mov x0,xzr
+ mov x28,#0
+ mov x26,sp
+
+.Loop_mul4x_1st_reduction:
+ mul x10,x6,x24 // lo(a[0..3]*b[0])
+ adc x0,x0,xzr // modulo-scheduled
+ mul x11,x7,x24
+ add x28,x28,#8
+ mul x12,x8,x24
+ and x28,x28,#31
+ mul x13,x9,x24
+ adds x19,x19,x10
+ umulh x10,x6,x24 // hi(a[0..3]*b[0])
+ adcs x20,x20,x11
+ mul x25,x19,x4 // t[0]*n0
+ adcs x21,x21,x12
+ umulh x11,x7,x24
+ adcs x22,x22,x13
+ umulh x12,x8,x24
+ adc x23,xzr,xzr
+ umulh x13,x9,x24
+ ldr x24,[x2,x28] // next b[i] (or b[0])
+ adds x20,x20,x10
+ // (*) mul x10,x14,x25 // lo(n[0..3]*t[0]*n0)
+ str x25,[x26],#8 // put aside t[0]*n0 for tail processing
+ adcs x21,x21,x11
+ mul x11,x15,x25
+ adcs x22,x22,x12
+ mul x12,x16,x25
+ adc x23,x23,x13 // can't overflow
+ mul x13,x17,x25
+ // (*) adds xzr,x19,x10
+ subs xzr,x19,#1 // (*)
+ umulh x10,x14,x25 // hi(n[0..3]*t[0]*n0)
+ adcs x19,x20,x11
+ umulh x11,x15,x25
+ adcs x20,x21,x12
+ umulh x12,x16,x25
+ adcs x21,x22,x13
+ umulh x13,x17,x25
+ adcs x22,x23,x0
+ adc x0,xzr,xzr
+ adds x19,x19,x10
+ sub x10,x27,x1
+ adcs x20,x20,x11
+ adcs x21,x21,x12
+ adcs x22,x22,x13
+ //adc x0,x0,xzr
+ cbnz x28,.Loop_mul4x_1st_reduction
+
+ cbz x10,.Lmul4x4_post_condition
+
+ ldp x6,x7,[x1,#8*0] // a[4..7]
+ ldp x8,x9,[x1,#8*2]
+ add x1,x1,#8*4
+ ldr x25,[sp] // a[0]*n0
+ ldp x14,x15,[x3,#8*0] // n[4..7]
+ ldp x16,x17,[x3,#8*2]
+ add x3,x3,#8*4
+
+.Loop_mul4x_1st_tail:
+ mul x10,x6,x24 // lo(a[4..7]*b[i])
+ adc x0,x0,xzr // modulo-scheduled
+ mul x11,x7,x24
+ add x28,x28,#8
+ mul x12,x8,x24
+ and x28,x28,#31
+ mul x13,x9,x24
+ adds x19,x19,x10
+ umulh x10,x6,x24 // hi(a[4..7]*b[i])
+ adcs x20,x20,x11
+ umulh x11,x7,x24
+ adcs x21,x21,x12
+ umulh x12,x8,x24
+ adcs x22,x22,x13
+ umulh x13,x9,x24
+ adc x23,xzr,xzr
+ ldr x24,[x2,x28] // next b[i] (or b[0])
+ adds x20,x20,x10
+ mul x10,x14,x25 // lo(n[4..7]*a[0]*n0)
+ adcs x21,x21,x11
+ mul x11,x15,x25
+ adcs x22,x22,x12
+ mul x12,x16,x25
+ adc x23,x23,x13 // can't overflow
+ mul x13,x17,x25
+ adds x19,x19,x10
+ umulh x10,x14,x25 // hi(n[4..7]*a[0]*n0)
+ adcs x20,x20,x11
+ umulh x11,x15,x25
+ adcs x21,x21,x12
+ umulh x12,x16,x25
+ adcs x22,x22,x13
+ adcs x23,x23,x0
+ umulh x13,x17,x25
+ adc x0,xzr,xzr
+ ldr x25,[sp,x28] // next t[0]*n0
+ str x19,[x26],#8 // result!!!
+ adds x19,x20,x10
+ sub x10,x27,x1 // done yet?
+ adcs x20,x21,x11
+ adcs x21,x22,x12
+ adcs x22,x23,x13
+ //adc x0,x0,xzr
+ cbnz x28,.Loop_mul4x_1st_tail
+
+ sub x11,x27,x5 // rewinded x1
+ cbz x10,.Lmul4x_proceed
+
+ ldp x6,x7,[x1,#8*0]
+ ldp x8,x9,[x1,#8*2]
+ add x1,x1,#8*4
+ ldp x14,x15,[x3,#8*0]
+ ldp x16,x17,[x3,#8*2]
+ add x3,x3,#8*4
+ b .Loop_mul4x_1st_tail
+
+.align 5
+.Lmul4x_proceed:
+ ldr x24,[x2,#8*4]! // *++b
+ adc x30,x0,xzr
+ ldp x6,x7,[x11,#8*0] // a[0..3]
+ sub x3,x3,x5 // rewind np
+ ldp x8,x9,[x11,#8*2]
+ add x1,x11,#8*4
+
+ stp x19,x20,[x26,#8*0] // result!!!
+ ldp x19,x20,[sp,#8*4] // t[0..3]
+ stp x21,x22,[x26,#8*2] // result!!!
+ ldp x21,x22,[sp,#8*6]
+
+ ldp x14,x15,[x3,#8*0] // n[0..3]
+ mov x26,sp
+ ldp x16,x17,[x3,#8*2]
+ adds x3,x3,#8*4 // clear carry bit
+ mov x0,xzr
+
+.align 4
+.Loop_mul4x_reduction:
+ mul x10,x6,x24 // lo(a[0..3]*b[4])
+ adc x0,x0,xzr // modulo-scheduled
+ mul x11,x7,x24
+ add x28,x28,#8
+ mul x12,x8,x24
+ and x28,x28,#31
+ mul x13,x9,x24
+ adds x19,x19,x10
+ umulh x10,x6,x24 // hi(a[0..3]*b[4])
+ adcs x20,x20,x11
+ mul x25,x19,x4 // t[0]*n0
+ adcs x21,x21,x12
+ umulh x11,x7,x24
+ adcs x22,x22,x13
+ umulh x12,x8,x24
+ adc x23,xzr,xzr
+ umulh x13,x9,x24
+ ldr x24,[x2,x28] // next b[i]
+ adds x20,x20,x10
+ // (*) mul x10,x14,x25
+ str x25,[x26],#8 // put aside t[0]*n0 for tail processing
+ adcs x21,x21,x11
+ mul x11,x15,x25 // lo(n[0..3]*t[0]*n0
+ adcs x22,x22,x12
+ mul x12,x16,x25
+ adc x23,x23,x13 // can't overflow
+ mul x13,x17,x25
+ // (*) adds xzr,x19,x10
+ subs xzr,x19,#1 // (*)
+ umulh x10,x14,x25 // hi(n[0..3]*t[0]*n0
+ adcs x19,x20,x11
+ umulh x11,x15,x25
+ adcs x20,x21,x12
+ umulh x12,x16,x25
+ adcs x21,x22,x13
+ umulh x13,x17,x25
+ adcs x22,x23,x0
+ adc x0,xzr,xzr
+ adds x19,x19,x10
+ adcs x20,x20,x11
+ adcs x21,x21,x12
+ adcs x22,x22,x13
+ //adc x0,x0,xzr
+ cbnz x28,.Loop_mul4x_reduction
+
+ adc x0,x0,xzr
+ ldp x10,x11,[x26,#8*4] // t[4..7]
+ ldp x12,x13,[x26,#8*6]
+ ldp x6,x7,[x1,#8*0] // a[4..7]
+ ldp x8,x9,[x1,#8*2]
+ add x1,x1,#8*4
+ adds x19,x19,x10
+ adcs x20,x20,x11
+ adcs x21,x21,x12
+ adcs x22,x22,x13
+ //adc x0,x0,xzr
+
+ ldr x25,[sp] // t[0]*n0
+ ldp x14,x15,[x3,#8*0] // n[4..7]
+ ldp x16,x17,[x3,#8*2]
+ add x3,x3,#8*4
+
+.align 4
+.Loop_mul4x_tail:
+ mul x10,x6,x24 // lo(a[4..7]*b[4])
+ adc x0,x0,xzr // modulo-scheduled
+ mul x11,x7,x24
+ add x28,x28,#8
+ mul x12,x8,x24
+ and x28,x28,#31
+ mul x13,x9,x24
+ adds x19,x19,x10
+ umulh x10,x6,x24 // hi(a[4..7]*b[4])
+ adcs x20,x20,x11
+ umulh x11,x7,x24
+ adcs x21,x21,x12
+ umulh x12,x8,x24
+ adcs x22,x22,x13
+ umulh x13,x9,x24
+ adc x23,xzr,xzr
+ ldr x24,[x2,x28] // next b[i]
+ adds x20,x20,x10
+ mul x10,x14,x25 // lo(n[4..7]*t[0]*n0)
+ adcs x21,x21,x11
+ mul x11,x15,x25
+ adcs x22,x22,x12
+ mul x12,x16,x25
+ adc x23,x23,x13 // can't overflow
+ mul x13,x17,x25
+ adds x19,x19,x10
+ umulh x10,x14,x25 // hi(n[4..7]*t[0]*n0)
+ adcs x20,x20,x11
+ umulh x11,x15,x25
+ adcs x21,x21,x12
+ umulh x12,x16,x25
+ adcs x22,x22,x13
+ umulh x13,x17,x25
+ adcs x23,x23,x0
+ ldr x25,[sp,x28] // next a[0]*n0
+ adc x0,xzr,xzr
+ str x19,[x26],#8 // result!!!
+ adds x19,x20,x10
+ sub x10,x27,x1 // done yet?
+ adcs x20,x21,x11
+ adcs x21,x22,x12
+ adcs x22,x23,x13
+ //adc x0,x0,xzr
+ cbnz x28,.Loop_mul4x_tail
+
+ sub x11,x3,x5 // rewinded np?
+ adc x0,x0,xzr
+ cbz x10,.Loop_mul4x_break
+
+ ldp x10,x11,[x26,#8*4]
+ ldp x12,x13,[x26,#8*6]
+ ldp x6,x7,[x1,#8*0]
+ ldp x8,x9,[x1,#8*2]
+ add x1,x1,#8*4
+ adds x19,x19,x10
+ adcs x20,x20,x11
+ adcs x21,x21,x12
+ adcs x22,x22,x13
+ //adc x0,x0,xzr
+ ldp x14,x15,[x3,#8*0]
+ ldp x16,x17,[x3,#8*2]
+ add x3,x3,#8*4
+ b .Loop_mul4x_tail
+
+.align 4
+.Loop_mul4x_break:
+ ldp x12,x13,[x29,#96] // pull rp and &b[num]
+ adds x19,x19,x30
+ add x2,x2,#8*4 // bp++
+ adcs x20,x20,xzr
+ sub x1,x1,x5 // rewind ap
+ adcs x21,x21,xzr
+ stp x19,x20,[x26,#8*0] // result!!!
+ adcs x22,x22,xzr
+ ldp x19,x20,[sp,#8*4] // t[0..3]
+ adc x30,x0,xzr
+ stp x21,x22,[x26,#8*2] // result!!!
+ cmp x2,x13 // done yet?
+ ldp x21,x22,[sp,#8*6]
+ ldp x14,x15,[x11,#8*0] // n[0..3]
+ ldp x16,x17,[x11,#8*2]
+ add x3,x11,#8*4
+ b.eq .Lmul4x_post
+
+ ldr x24,[x2]
+ ldp x6,x7,[x1,#8*0] // a[0..3]
+ ldp x8,x9,[x1,#8*2]
+ adds x1,x1,#8*4 // clear carry bit
+ mov x0,xzr
+ mov x26,sp
+ b .Loop_mul4x_reduction
+
+.align 4
+.Lmul4x_post:
+ // Final step. We see if result is larger than modulus, and
+ // if it is, subtract the modulus. But comparison implies
+ // subtraction. So we subtract modulus, see if it borrowed,
+ // and conditionally copy original value.
+ mov x0,x12
+ mov x27,x12 // x0 copy
+ subs x10,x19,x14
+ add x26,sp,#8*8
+ sbcs x11,x20,x15
+ sub x28,x5,#8*4
+
+.Lmul4x_sub:
+ sbcs x12,x21,x16
+ ldp x14,x15,[x3,#8*0]
+ sub x28,x28,#8*4
+ ldp x19,x20,[x26,#8*0]
+ sbcs x13,x22,x17
+ ldp x16,x17,[x3,#8*2]
+ add x3,x3,#8*4
+ ldp x21,x22,[x26,#8*2]
+ add x26,x26,#8*4
+ stp x10,x11,[x0,#8*0]
+ sbcs x10,x19,x14
+ stp x12,x13,[x0,#8*2]
+ add x0,x0,#8*4
+ sbcs x11,x20,x15
+ cbnz x28,.Lmul4x_sub
+
+ sbcs x12,x21,x16
+ mov x26,sp
+ add x1,sp,#8*4
+ ldp x6,x7,[x27,#8*0]
+ sbcs x13,x22,x17
+ stp x10,x11,[x0,#8*0]
+ ldp x8,x9,[x27,#8*2]
+ stp x12,x13,[x0,#8*2]
+ ldp x19,x20,[x1,#8*0]
+ ldp x21,x22,[x1,#8*2]
+ sbcs xzr,x30,xzr // did it borrow?
+ ldr x30,[x29,#8] // pull return address
+
+ sub x28,x5,#8*4
+.Lmul4x_cond_copy:
+ sub x28,x28,#8*4
+ csel x10,x19,x6,lo
+ stp xzr,xzr,[x26,#8*0]
+ csel x11,x20,x7,lo
+ ldp x6,x7,[x27,#8*4]
+ ldp x19,x20,[x1,#8*4]
+ csel x12,x21,x8,lo
+ stp xzr,xzr,[x26,#8*2]
+ add x26,x26,#8*4
+ csel x13,x22,x9,lo
+ ldp x8,x9,[x27,#8*6]
+ ldp x21,x22,[x1,#8*6]
+ add x1,x1,#8*4
+ stp x10,x11,[x27,#8*0]
+ stp x12,x13,[x27,#8*2]
+ add x27,x27,#8*4
+ cbnz x28,.Lmul4x_cond_copy
+
+ csel x10,x19,x6,lo
+ stp xzr,xzr,[x26,#8*0]
+ csel x11,x20,x7,lo
+ stp xzr,xzr,[x26,#8*2]
+ csel x12,x21,x8,lo
+ stp xzr,xzr,[x26,#8*3]
+ csel x13,x22,x9,lo
+ stp xzr,xzr,[x26,#8*4]
+ stp x10,x11,[x27,#8*0]
+ stp x12,x13,[x27,#8*2]
+
+ b .Lmul4x_done
+
+.align 4
+.Lmul4x4_post_condition:
+ adc x0,x0,xzr
+ ldr x1,[x29,#96] // pull rp
+ // x19-3,x0 hold result, x14-7 hold modulus
+ subs x6,x19,x14
+ ldr x30,[x29,#8] // pull return address
+ sbcs x7,x20,x15
+ stp xzr,xzr,[sp,#8*0]
+ sbcs x8,x21,x16
+ stp xzr,xzr,[sp,#8*2]
+ sbcs x9,x22,x17
+ stp xzr,xzr,[sp,#8*4]
+ sbcs xzr,x0,xzr // did it borrow?
+ stp xzr,xzr,[sp,#8*6]
+
+ // x6-3 hold result-modulus
+ csel x6,x19,x6,lo
+ csel x7,x20,x7,lo
+ csel x8,x21,x8,lo
+ csel x9,x22,x9,lo
+ stp x6,x7,[x1,#8*0]
+ stp x8,x9,[x1,#8*2]
+
+.Lmul4x_done:
+ ldp x19,x20,[x29,#16]
+ mov sp,x29
+ ldp x21,x22,[x29,#32]
+ mov x0,#1
+ ldp x23,x24,[x29,#48]
+ ldp x25,x26,[x29,#64]
+ ldp x27,x28,[x29,#80]
+ ldr x29,[sp],#128
+ ret
+.size __bn_mul4x_mont,.-__bn_mul4x_mont
+.byte 77,111,110,116,103,111,109,101,114,121,32,77,117,108,116,105,112,108,105,99,97,116,105,111,110,32,102,111,114,32,65,82,77,118,56,44,32,67,82,89,80,84,79,71,65,77,83,32,98,121,32,60,97,112,112,114,111,64,111,112,101,110,115,115,108,46,111,114,103,62,0
+.align 2
+.align 4
+#endif

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