1411 lines
30 KiB
ArmAsm
1411 lines
30 KiB
ArmAsm
/* $FreeBSD$ */
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/* Do not modify. This file is auto-generated from armv8-mont.pl. */
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.text
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.globl bn_mul_mont
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.type bn_mul_mont,%function
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.align 5
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bn_mul_mont:
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tst x5,#7
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b.eq __bn_sqr8x_mont
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tst x5,#3
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b.eq __bn_mul4x_mont
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.Lmul_mont:
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stp x29,x30,[sp,#-64]!
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add x29,sp,#0
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stp x19,x20,[sp,#16]
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stp x21,x22,[sp,#32]
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stp x23,x24,[sp,#48]
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ldr x9,[x2],#8 // bp[0]
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sub x22,sp,x5,lsl#3
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ldp x7,x8,[x1],#16 // ap[0..1]
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lsl x5,x5,#3
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ldr x4,[x4] // *n0
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and x22,x22,#-16 // ABI says so
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ldp x13,x14,[x3],#16 // np[0..1]
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mul x6,x7,x9 // ap[0]*bp[0]
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sub x21,x5,#16 // j=num-2
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umulh x7,x7,x9
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mul x10,x8,x9 // ap[1]*bp[0]
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umulh x11,x8,x9
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mul x15,x6,x4 // "tp[0]"*n0
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mov sp,x22 // alloca
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// (*) mul x12,x13,x15 // np[0]*m1
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umulh x13,x13,x15
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mul x16,x14,x15 // np[1]*m1
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// (*) adds x12,x12,x6 // discarded
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// (*) As for removal of first multiplication and addition
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// instructions. The outcome of first addition is
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// guaranteed to be zero, which leaves two computationally
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// significant outcomes: it either carries or not. Then
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// question is when does it carry? Is there alternative
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// way to deduce it? If you follow operations, you can
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// observe that condition for carry is quite simple:
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// x6 being non-zero. So that carry can be calculated
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// by adding -1 to x6. That's what next instruction does.
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subs xzr,x6,#1 // (*)
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umulh x17,x14,x15
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adc x13,x13,xzr
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cbz x21,.L1st_skip
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.L1st:
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ldr x8,[x1],#8
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adds x6,x10,x7
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sub x21,x21,#8 // j--
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adc x7,x11,xzr
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ldr x14,[x3],#8
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adds x12,x16,x13
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mul x10,x8,x9 // ap[j]*bp[0]
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adc x13,x17,xzr
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umulh x11,x8,x9
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adds x12,x12,x6
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mul x16,x14,x15 // np[j]*m1
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adc x13,x13,xzr
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umulh x17,x14,x15
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str x12,[x22],#8 // tp[j-1]
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cbnz x21,.L1st
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.L1st_skip:
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adds x6,x10,x7
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sub x1,x1,x5 // rewind x1
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adc x7,x11,xzr
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adds x12,x16,x13
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sub x3,x3,x5 // rewind x3
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adc x13,x17,xzr
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adds x12,x12,x6
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sub x20,x5,#8 // i=num-1
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adcs x13,x13,x7
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adc x19,xzr,xzr // upmost overflow bit
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stp x12,x13,[x22]
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.Louter:
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ldr x9,[x2],#8 // bp[i]
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ldp x7,x8,[x1],#16
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ldr x23,[sp] // tp[0]
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add x22,sp,#8
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mul x6,x7,x9 // ap[0]*bp[i]
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sub x21,x5,#16 // j=num-2
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umulh x7,x7,x9
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ldp x13,x14,[x3],#16
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mul x10,x8,x9 // ap[1]*bp[i]
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adds x6,x6,x23
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umulh x11,x8,x9
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adc x7,x7,xzr
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mul x15,x6,x4
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sub x20,x20,#8 // i--
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// (*) mul x12,x13,x15 // np[0]*m1
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umulh x13,x13,x15
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mul x16,x14,x15 // np[1]*m1
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// (*) adds x12,x12,x6
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subs xzr,x6,#1 // (*)
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umulh x17,x14,x15
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cbz x21,.Linner_skip
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.Linner:
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ldr x8,[x1],#8
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adc x13,x13,xzr
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ldr x23,[x22],#8 // tp[j]
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adds x6,x10,x7
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sub x21,x21,#8 // j--
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adc x7,x11,xzr
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adds x12,x16,x13
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ldr x14,[x3],#8
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adc x13,x17,xzr
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mul x10,x8,x9 // ap[j]*bp[i]
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adds x6,x6,x23
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umulh x11,x8,x9
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adc x7,x7,xzr
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mul x16,x14,x15 // np[j]*m1
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adds x12,x12,x6
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umulh x17,x14,x15
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str x12,[x22,#-16] // tp[j-1]
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cbnz x21,.Linner
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.Linner_skip:
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ldr x23,[x22],#8 // tp[j]
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adc x13,x13,xzr
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adds x6,x10,x7
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sub x1,x1,x5 // rewind x1
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adc x7,x11,xzr
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adds x12,x16,x13
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sub x3,x3,x5 // rewind x3
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adcs x13,x17,x19
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adc x19,xzr,xzr
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adds x6,x6,x23
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adc x7,x7,xzr
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adds x12,x12,x6
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adcs x13,x13,x7
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adc x19,x19,xzr // upmost overflow bit
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stp x12,x13,[x22,#-16]
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cbnz x20,.Louter
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// Final step. We see if result is larger than modulus, and
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// if it is, subtract the modulus. But comparison implies
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// subtraction. So we subtract modulus, see if it borrowed,
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// and conditionally copy original value.
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ldr x23,[sp] // tp[0]
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add x22,sp,#8
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ldr x14,[x3],#8 // np[0]
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subs x21,x5,#8 // j=num-1 and clear borrow
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mov x1,x0
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.Lsub:
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sbcs x8,x23,x14 // tp[j]-np[j]
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ldr x23,[x22],#8
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sub x21,x21,#8 // j--
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ldr x14,[x3],#8
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str x8,[x1],#8 // rp[j]=tp[j]-np[j]
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cbnz x21,.Lsub
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sbcs x8,x23,x14
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sbcs x19,x19,xzr // did it borrow?
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str x8,[x1],#8 // rp[num-1]
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ldr x23,[sp] // tp[0]
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add x22,sp,#8
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ldr x8,[x0],#8 // rp[0]
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sub x5,x5,#8 // num--
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nop
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.Lcond_copy:
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sub x5,x5,#8 // num--
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csel x14,x23,x8,lo // did it borrow?
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ldr x23,[x22],#8
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ldr x8,[x0],#8
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str xzr,[x22,#-16] // wipe tp
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str x14,[x0,#-16]
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cbnz x5,.Lcond_copy
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csel x14,x23,x8,lo
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str xzr,[x22,#-8] // wipe tp
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str x14,[x0,#-8]
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ldp x19,x20,[x29,#16]
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mov sp,x29
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ldp x21,x22,[x29,#32]
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mov x0,#1
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ldp x23,x24,[x29,#48]
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ldr x29,[sp],#64
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ret
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.size bn_mul_mont,.-bn_mul_mont
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.type __bn_sqr8x_mont,%function
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.align 5
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__bn_sqr8x_mont:
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cmp x1,x2
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b.ne __bn_mul4x_mont
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.Lsqr8x_mont:
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.inst 0xd503233f // paciasp
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stp x29,x30,[sp,#-128]!
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add x29,sp,#0
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stp x19,x20,[sp,#16]
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stp x21,x22,[sp,#32]
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stp x23,x24,[sp,#48]
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stp x25,x26,[sp,#64]
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stp x27,x28,[sp,#80]
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stp x0,x3,[sp,#96] // offload rp and np
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ldp x6,x7,[x1,#8*0]
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ldp x8,x9,[x1,#8*2]
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ldp x10,x11,[x1,#8*4]
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ldp x12,x13,[x1,#8*6]
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sub x2,sp,x5,lsl#4
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lsl x5,x5,#3
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ldr x4,[x4] // *n0
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mov sp,x2 // alloca
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sub x27,x5,#8*8
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b .Lsqr8x_zero_start
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.Lsqr8x_zero:
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sub x27,x27,#8*8
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stp xzr,xzr,[x2,#8*0]
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stp xzr,xzr,[x2,#8*2]
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stp xzr,xzr,[x2,#8*4]
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stp xzr,xzr,[x2,#8*6]
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.Lsqr8x_zero_start:
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stp xzr,xzr,[x2,#8*8]
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stp xzr,xzr,[x2,#8*10]
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stp xzr,xzr,[x2,#8*12]
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stp xzr,xzr,[x2,#8*14]
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add x2,x2,#8*16
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cbnz x27,.Lsqr8x_zero
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add x3,x1,x5
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add x1,x1,#8*8
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mov x19,xzr
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mov x20,xzr
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mov x21,xzr
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mov x22,xzr
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mov x23,xzr
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mov x24,xzr
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mov x25,xzr
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mov x26,xzr
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mov x2,sp
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str x4,[x29,#112] // offload n0
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// Multiply everything but a[i]*a[i]
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.align 4
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.Lsqr8x_outer_loop:
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// a[1]a[0] (i)
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// a[2]a[0]
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// a[3]a[0]
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// a[4]a[0]
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// a[5]a[0]
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// a[6]a[0]
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// a[7]a[0]
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// a[2]a[1] (ii)
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// a[3]a[1]
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// a[4]a[1]
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// a[5]a[1]
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// a[6]a[1]
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// a[7]a[1]
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// a[3]a[2] (iii)
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// a[4]a[2]
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// a[5]a[2]
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// a[6]a[2]
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// a[7]a[2]
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// a[4]a[3] (iv)
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// a[5]a[3]
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// a[6]a[3]
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// a[7]a[3]
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// a[5]a[4] (v)
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// a[6]a[4]
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// a[7]a[4]
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// a[6]a[5] (vi)
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// a[7]a[5]
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// a[7]a[6] (vii)
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mul x14,x7,x6 // lo(a[1..7]*a[0]) (i)
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mul x15,x8,x6
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mul x16,x9,x6
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mul x17,x10,x6
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adds x20,x20,x14 // t[1]+lo(a[1]*a[0])
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mul x14,x11,x6
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adcs x21,x21,x15
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mul x15,x12,x6
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adcs x22,x22,x16
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mul x16,x13,x6
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adcs x23,x23,x17
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umulh x17,x7,x6 // hi(a[1..7]*a[0])
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adcs x24,x24,x14
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umulh x14,x8,x6
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adcs x25,x25,x15
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umulh x15,x9,x6
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adcs x26,x26,x16
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umulh x16,x10,x6
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stp x19,x20,[x2],#8*2 // t[0..1]
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adc x19,xzr,xzr // t[8]
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adds x21,x21,x17 // t[2]+lo(a[1]*a[0])
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umulh x17,x11,x6
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adcs x22,x22,x14
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umulh x14,x12,x6
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adcs x23,x23,x15
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umulh x15,x13,x6
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adcs x24,x24,x16
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mul x16,x8,x7 // lo(a[2..7]*a[1]) (ii)
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adcs x25,x25,x17
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mul x17,x9,x7
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adcs x26,x26,x14
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mul x14,x10,x7
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adc x19,x19,x15
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mul x15,x11,x7
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adds x22,x22,x16
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mul x16,x12,x7
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adcs x23,x23,x17
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mul x17,x13,x7
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adcs x24,x24,x14
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umulh x14,x8,x7 // hi(a[2..7]*a[1])
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adcs x25,x25,x15
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umulh x15,x9,x7
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adcs x26,x26,x16
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umulh x16,x10,x7
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adcs x19,x19,x17
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umulh x17,x11,x7
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stp x21,x22,[x2],#8*2 // t[2..3]
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adc x20,xzr,xzr // t[9]
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adds x23,x23,x14
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umulh x14,x12,x7
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adcs x24,x24,x15
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umulh x15,x13,x7
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adcs x25,x25,x16
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mul x16,x9,x8 // lo(a[3..7]*a[2]) (iii)
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adcs x26,x26,x17
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mul x17,x10,x8
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adcs x19,x19,x14
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mul x14,x11,x8
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adc x20,x20,x15
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mul x15,x12,x8
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adds x24,x24,x16
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mul x16,x13,x8
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adcs x25,x25,x17
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umulh x17,x9,x8 // hi(a[3..7]*a[2])
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adcs x26,x26,x14
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umulh x14,x10,x8
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adcs x19,x19,x15
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umulh x15,x11,x8
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adcs x20,x20,x16
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umulh x16,x12,x8
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stp x23,x24,[x2],#8*2 // t[4..5]
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adc x21,xzr,xzr // t[10]
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adds x25,x25,x17
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umulh x17,x13,x8
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adcs x26,x26,x14
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mul x14,x10,x9 // lo(a[4..7]*a[3]) (iv)
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adcs x19,x19,x15
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mul x15,x11,x9
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adcs x20,x20,x16
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mul x16,x12,x9
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adc x21,x21,x17
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mul x17,x13,x9
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adds x26,x26,x14
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umulh x14,x10,x9 // hi(a[4..7]*a[3])
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adcs x19,x19,x15
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umulh x15,x11,x9
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adcs x20,x20,x16
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umulh x16,x12,x9
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adcs x21,x21,x17
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umulh x17,x13,x9
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stp x25,x26,[x2],#8*2 // t[6..7]
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adc x22,xzr,xzr // t[11]
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adds x19,x19,x14
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mul x14,x11,x10 // lo(a[5..7]*a[4]) (v)
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adcs x20,x20,x15
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mul x15,x12,x10
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adcs x21,x21,x16
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mul x16,x13,x10
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adc x22,x22,x17
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umulh x17,x11,x10 // hi(a[5..7]*a[4])
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adds x20,x20,x14
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umulh x14,x12,x10
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adcs x21,x21,x15
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umulh x15,x13,x10
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adcs x22,x22,x16
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mul x16,x12,x11 // lo(a[6..7]*a[5]) (vi)
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adc x23,xzr,xzr // t[12]
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adds x21,x21,x17
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mul x17,x13,x11
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adcs x22,x22,x14
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umulh x14,x12,x11 // hi(a[6..7]*a[5])
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adc x23,x23,x15
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umulh x15,x13,x11
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adds x22,x22,x16
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mul x16,x13,x12 // lo(a[7]*a[6]) (vii)
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adcs x23,x23,x17
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umulh x17,x13,x12 // hi(a[7]*a[6])
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adc x24,xzr,xzr // t[13]
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adds x23,x23,x14
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sub x27,x3,x1 // done yet?
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adc x24,x24,x15
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adds x24,x24,x16
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sub x14,x3,x5 // rewinded ap
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adc x25,xzr,xzr // t[14]
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add x25,x25,x17
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cbz x27,.Lsqr8x_outer_break
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mov x4,x6
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ldp x6,x7,[x2,#8*0]
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ldp x8,x9,[x2,#8*2]
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ldp x10,x11,[x2,#8*4]
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ldp x12,x13,[x2,#8*6]
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adds x19,x19,x6
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adcs x20,x20,x7
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ldp x6,x7,[x1,#8*0]
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adcs x21,x21,x8
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adcs x22,x22,x9
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ldp x8,x9,[x1,#8*2]
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adcs x23,x23,x10
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adcs x24,x24,x11
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ldp x10,x11,[x1,#8*4]
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adcs x25,x25,x12
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mov x0,x1
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adcs x26,xzr,x13
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ldp x12,x13,[x1,#8*6]
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add x1,x1,#8*8
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//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
|
|
.inst 0xd50323bf // autiasp
|
|
ret
|
|
.size __bn_sqr8x_mont,.-__bn_sqr8x_mont
|
|
.type __bn_mul4x_mont,%function
|
|
.align 5
|
|
__bn_mul4x_mont:
|
|
.inst 0xd503233f // paciasp
|
|
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
|
|
.inst 0xd50323bf // autiasp
|
|
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
|