summaryrefslogtreecommitdiff
path: root/src/third_party/sike/asm/fp-armv8.pl
diff options
context:
space:
mode:
Diffstat (limited to 'src/third_party/sike/asm/fp-armv8.pl')
-rw-r--r--src/third_party/sike/asm/fp-armv8.pl915
1 files changed, 915 insertions, 0 deletions
diff --git a/src/third_party/sike/asm/fp-armv8.pl b/src/third_party/sike/asm/fp-armv8.pl
new file mode 100644
index 00000000..ce19d809
--- /dev/null
+++ b/src/third_party/sike/asm/fp-armv8.pl
@@ -0,0 +1,915 @@
+#! /usr/bin/env perl
+#
+# April 2019
+#
+# Abstract: field arithmetic in aarch64 assembly for SIDH/p434
+
+$flavour = shift;
+$output = shift;
+if ($flavour =~ /\./) { $output = $flavour; undef $flavour; }
+
+$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
+( $xlate="${dir}arm-xlate.pl" and -f $xlate ) or
+( $xlate="${dir}../../../crypto/perlasm/arm-xlate.pl" and -f $xlate) or
+die "can't locate arm-xlate.pl";
+
+open OUT,"| \"$^X\" \"$xlate\" $flavour \"$output\"";
+*STDOUT=*OUT;
+
+$PREFIX="sike";
+
+$code.=<<___;
+.section .rodata
+
+# p434 x 2
+.Lp434x2:
+ .quad 0xFFFFFFFFFFFFFFFE, 0xFFFFFFFFFFFFFFFF
+ .quad 0xFB82ECF5C5FFFFFF, 0xF78CB8F062B15D47
+ .quad 0xD9F8BFAD038A40AC, 0x0004683E4E2EE688
+
+# p434 + 1
+.Lp434p1:
+ .quad 0xFDC1767AE3000000, 0x7BC65C783158AEA3
+ .quad 0x6CFC5FD681C52056, 0x0002341F27177344
+
+.text
+___
+
+# Computes C0-C2 = A0 * (B0-B1)
+# Inputs remain intact
+sub mul64x128 {
+ my ($A0,$B0,$B1,$C0,$C1,$C2,$T0,$T1)=@_;
+ my $body=<<___;
+ mul $T1, $A0, $B0
+ umulh $B0, $A0, $B0
+ adds $C0, $C0, $C2
+ adc $C1, $C1, xzr
+
+ mul $T0, $A0, $B1
+ umulh $B1, $A0, $B1
+ adds $C0, $C0, $T1
+ adcs $C1, $C1, $B0
+ adc $C2, xzr, xzr
+
+ adds $C1, $C1, $T0
+ adc $C2, $C2, $B1
+___
+ return $body;
+}
+
+# Computes C0-C4 = A0 * (B0-B3)
+# Inputs remain intact
+sub mul64x256 {
+ my ($A0,$B0,$B1,$B2,$B3,$C0,$C1,$C2,$C3,$C4,$T0,$T1,$T2)=@_;
+ my $body=<<___;
+ mul $C0, $A0, $B0 // C0
+ umulh $T0, $A0, $B0
+
+ mul $C1, $A0, $B1
+ umulh $T1, $A0, $B1
+ adds $C1, $C1, $T0 // C1
+ adc $T0, xzr, xzr
+
+ mul $C2, $A0, $B2
+ umulh $T2, $A0, $B2
+ adds $T1, $T0, $T1
+ adcs $C2, $C2, $T1 // C2
+ adc $T0, xzr, xzr
+
+ mul $C3, $A0, $B3
+ umulh $C4, $A0, $B3
+ adds $T2, $T0, $T2
+ adcs $C3, $C3, $T2 // C3
+ adc $C4, $C4, xzr // C4
+___
+ return $body;
+}
+
+# Computes C0-C4 = (A0-A1) * (B0-B3)
+# Inputs remain intact
+sub mul128x256 {
+ my ($A0,$A1,$B0,$B1,$B2,$B3,$C0,$C1,$C2,$C3,$C4,$C5,$T0,$T1,$T2,$T3)=@_;
+ my $body=<<___;
+ mul $C0, $A0, $B0 // C0
+ umulh $C3, $A0, $B0
+
+ mul $C1, $A0, $B1
+ umulh $C2, $A0, $B1
+
+ mul $T0, $A1, $B0
+ umulh $T1, $A1, $B0
+ adds $C1, $C1, $C3
+ adc $C2, $C2, xzr
+
+ mul $T2, $A0, $B2
+ umulh $T3, $A0, $B2
+ adds $C1, $C1, $T0 // C1
+ adcs $C2, $C2, $T1
+ adc $C3, xzr, xzr
+
+ mul $T0, $A1, $B1
+ umulh $T1, $A1, $B1
+ adds $C2, $C2, $T2
+ adcs $C3, $C3, $T3
+ adc $C4, xzr, xzr
+
+ mul $T2, $A0, $B3
+ umulh $T3, $A0, $B3
+ adds $C2, $C2, $T0 // C2
+ adcs $C3, $C3, $T1
+ adc $C4, $C4, xzr
+
+ mul $T0, $A1, $B2
+ umulh $T1, $A1, $B2
+ adds $C3, $C3, $T2
+ adcs $C4, $C4, $T3
+ adc $C5, xzr, xzr
+
+ mul $T2, $A1, $B3
+ umulh $T3, $A1, $B3
+ adds $C3, $C3, $T0 // C3
+ adcs $C4, $C4, $T1
+ adc $C5, $C5, xzr
+ adds $C4, $C4, $T2 // C4
+ adc $C5, $C5, $T3 // C5
+
+___
+ return $body;
+}
+
+# Computes C0-C5 = (A0-A2) * (B0-B2)
+# Inputs remain intact
+sub mul192 {
+ my ($A0,$A1,$A2,$B0,$B1,$B2,$C0,$C1,$C2,$C3,$C4,$C5,$T0,$T1,$T2,$T3)=@_;
+ my $body=<<___;
+
+ // A0 * B0
+ mul $C0, $A0, $B0 // C0
+ umulh $C3, $A0, $B0
+
+ // A0 * B1
+ mul $C1, $A0, $B1
+ umulh $C2, $A0, $B1
+
+ // A1 * B0
+ mul $T0, $A1, $B0
+ umulh $T1, $A1, $B0
+ adds $C1, $C1, $C3
+ adc $C2, $C2, xzr
+
+ // A0 * B2
+ mul $T2, $A0, $B2
+ umulh $T3, $A0, $B2
+ adds $C1, $C1, $T0 // C1
+ adcs $C2, $C2, $T1
+ adc $C3, xzr, xzr
+
+ // A2 * B0
+ mul $T0, $A2, $B0
+ umulh $C4, $A2, $B0
+ adds $C2, $C2, $T2
+ adcs $C3, $C3, $C4
+ adc $C4, xzr, xzr
+
+ // A1 * B1
+ mul $T2, $A1, $B1
+ umulh $T1, $A1, $B1
+ adds $C2, $C2, $T0
+ adcs $C3, $C3, $T3
+ adc $C4, $C4, xzr
+
+ // A1 * B2
+ mul $T0, $A1, $B2
+ umulh $T3, $A1, $B2
+ adds $C2, $C2, $T2 // C2
+ adcs $C3, $C3, $T1
+ adc $C4, $C4, xzr
+
+ // A2 * B1
+ mul $T2, $A2, $B1
+ umulh $T1, $A2, $B1
+ adds $C3, $C3, $T0
+ adcs $C4, $C4, $T3
+ adc $C5, xzr, xzr
+
+ // A2 * B2
+ mul $T0, $A2, $B2
+ umulh $T3, $A2, $B2
+ adds $C3, $C3, $T2 // C3
+ adcs $C4, $C4, $T1
+ adc $C5, $C5, xzr
+
+ adds $C4, $C4, $T0 // C4
+ adc $C5, $C5, $T3 // C5
+___
+ return $body;
+}
+sub mul256_karatsuba {
+ my ($M,$A0,$A1,$A2,$A3,$B0,$B1,$B2,$B3,$C0,$C1,$C2,$C3,$C4,$C5,$C6,$C7,$T0,$T1)=@_;
+ # (AH+AL) x (BH+BL), low part
+ my $mul_low=&mul64x128($A1, $C6, $T1, $C3, $C4, $C5, $C7, $A0);
+ # AL x BL
+ my $mul_albl=&mul64x128($A1, $B0, $B1, $C1, $T1, $C7, $C6, $A0);
+ # AH x BH
+ my $mul_ahbh=&mul64x128($A3, $B2, $B3, $A1, $C6, $B0, $B1, $A2);
+ my $body=<<___;
+ // A0-A1 <- AH + AL, T0 <- mask
+ adds $A0, $A0, $A2
+ adcs $A1, $A1, $A3
+ adc $T0, xzr, xzr
+
+ // C6, T1 <- BH + BL, C7 <- mask
+ adds $C6, $B0, $B2
+ adcs $T1, $B1, $B3
+ adc $C7, xzr, xzr
+
+ // C0-C1 <- masked (BH + BL)
+ sub $C2, xzr, $T0
+ sub $C3, xzr, $C7
+ and $C0, $C6, $C2
+ and $C1, $T1, $C2
+
+ // C4-C5 <- masked (AH + AL), T0 <- combined carry
+ and $C4, $A0, $C3
+ and $C5, $A1, $C3
+ mul $C2, $A0, $C6
+ mul $C3, $A0, $T1
+ and $T0, $T0, $C7
+
+ // C0-C1, T0 <- (AH+AL) x (BH+BL), part 1
+ adds $C0, $C4, $C0
+ umulh $C4, $A0, $T1
+ adcs $C1, $C5, $C1
+ umulh $C5, $A0, $C6
+ adc $T0, $T0, xzr
+
+ // C2-C5 <- (AH+AL) x (BH+BL), low part
+ $mul_low
+ ldp $A0, $A1, [$M,#0]
+
+ // C2-C5, T0 <- (AH+AL) x (BH+BL), final part
+ adds $C4, $C0, $C4
+ umulh $C7, $A0, $B0
+ umulh $T1, $A0, $B1
+ adcs $C5, $C1, $C5
+ mul $C0, $A0, $B0
+ mul $C1, $A0, $B1
+ adc $T0, $T0, xzr
+
+ // C0-C1, T1, C7 <- AL x BL
+ $mul_albl
+
+ // C2-C5, T0 <- (AH+AL) x (BH+BL) - ALxBL
+ mul $A0, $A2, $B2
+ umulh $B0, $A2, $B2
+ subs $C2, $C2, $C0
+ sbcs $C3, $C3, $C1
+ sbcs $C4, $C4, $T1
+ mul $A1, $A2, $B3
+ umulh $C6, $A2, $B3
+ sbcs $C5, $C5, $C7
+ sbc $T0, $T0, xzr
+
+ // A0, A1, C6, B0 <- AH x BH
+ $mul_ahbh
+
+ // C2-C5, T0 <- (AH+AL) x (BH+BL) - ALxBL - AHxBH
+ subs $C2, $C2, $A0
+ sbcs $C3, $C3, $A1
+ sbcs $C4, $C4, $C6
+ sbcs $C5, $C5, $B0
+ sbc $T0, $T0, xzr
+
+ adds $C2, $C2, $T1
+ adcs $C3, $C3, $C7
+ adcs $C4, $C4, $A0
+ adcs $C5, $C5, $A1
+ adcs $C6, $T0, $C6
+ adc $C7, $B0, xzr
+___
+ return $body;
+}
+
+# 512-bit integer multiplication using Karatsuba (two levels),
+# Comba (lower level).
+# Operation: c [x2] = a [x0] * b [x1]
+sub mul {
+ # (AH+AL) x (BH+BL), low part
+ my $mul_kc_low=&mul256_karatsuba(
+ "x2", # M0
+ "x3","x4","x5","x6", # A0-A3
+ "x10","x11","x12","x13", # B0-B3
+ "x8","x9","x19","x20","x21","x22","x23","x24", # C0-C7
+ "x25","x26"); # TMP
+ # AL x BL
+ my $mul_albl=&mul256_karatsuba(
+ "x0", # M0f
+ "x3","x4","x5","x6", # A0-A3
+ "x10","x11","x12","x13", # B0-B3
+ "x21","x22","x23","x24","x25","x26","x27","x28",# C0-C7
+ "x8","x9"); # TMP
+ # AH x BH
+ my $mul_ahbh=&mul192(
+ "x3","x4","x5", # A0-A2
+ "x10","x11","x12", # B0-B2
+ "x21","x22","x23","x24","x25","x26", # C0-C5
+ "x8","x9","x27","x28"); # TMP
+
+ my $body=<<___;
+ .global ${PREFIX}_mpmul
+ .align 4
+ ${PREFIX}_mpmul:
+ stp x29, x30, [sp,#-96]!
+ 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]
+
+ ldp x3, x4, [x0]
+ ldp x5, x6, [x0,#16]
+ ldp x7, x8, [x0,#32]
+ ldr x9, [x0,#48]
+ ldp x10, x11, [x1,#0]
+ ldp x12, x13, [x1,#16]
+ ldp x14, x15, [x1,#32]
+ ldr x16, [x1,#48]
+
+ // x3-x7 <- AH + AL, x7 <- carry
+ adds x3, x3, x7
+ adcs x4, x4, x8
+ adcs x5, x5, x9
+ adcs x6, x6, xzr
+ adc x7, xzr, xzr
+
+ // x10-x13 <- BH + BL, x8 <- carry
+ adds x10, x10, x14
+ adcs x11, x11, x15
+ adcs x12, x12, x16
+ adcs x13, x13, xzr
+ adc x8, xzr, xzr
+
+ // x9 <- combined carry
+ and x9, x7, x8
+ // x7-x8 <- mask
+ sub x7, xzr, x7
+ sub x8, xzr, x8
+
+ // x15-x19 <- masked (BH + BL)
+ and x14, x10, x7
+ and x15, x11, x7
+ and x16, x12, x7
+ and x17, x13, x7
+
+ // x20-x23 <- masked (AH + AL)
+ and x20, x3, x8
+ and x21, x4, x8
+ and x22, x5, x8
+ and x23, x6, x8
+
+ // x15-x19, x7 <- masked (AH+AL) + masked (BH+BL), step 1
+ adds x14, x14, x20
+ adcs x15, x15, x21
+ adcs x16, x16, x22
+ adcs x17, x17, x23
+ adc x7, x9, xzr
+
+ // x8-x9,x19,x20-x24 <- (AH+AL) x (BH+BL), low part
+ stp x3, x4, [x2,#0]
+ $mul_kc_low
+
+ // x15-x19, x7 <- (AH+AL) x (BH+BL), final step
+ adds x14, x14, x21
+ adcs x15, x15, x22
+ adcs x16, x16, x23
+ adcs x17, x17, x24
+ adc x7, x7, xzr
+
+ // Load AL
+ ldp x3, x4, [x0]
+ ldp x5, x6, [x0,#16]
+ // Load BL
+ ldp x10, x11, [x1,#0]
+ ldp x12, x13, [x1,#16]
+
+ // Temporarily store x8 in x2
+ stp x8, x9, [x2,#0]
+ // x21-x28 <- AL x BL
+ $mul_albl
+ // Restore x8
+ ldp x8, x9, [x2,#0]
+
+ // x8-x10,x20,x15-x17,x19 <- maskd (AH+AL) x (BH+BL) - ALxBL
+ subs x8, x8, x21
+ sbcs x9, x9, x22
+ sbcs x19, x19, x23
+ sbcs x20, x20, x24
+ sbcs x14, x14, x25
+ sbcs x15, x15, x26
+ sbcs x16, x16, x27
+ sbcs x17, x17, x28
+ sbc x7, x7, xzr
+
+ // Store ALxBL, low
+ stp x21, x22, [x2]
+ stp x23, x24, [x2,#16]
+
+ // Load AH
+ ldp x3, x4, [x0,#32]
+ ldr x5, [x0,#48]
+ // Load BH
+ ldp x10, x11, [x1,#32]
+ ldr x12, [x1,#48]
+
+ adds x8, x8, x25
+ adcs x9, x9, x26
+ adcs x19, x19, x27
+ adcs x20, x20, x28
+ adc x1, xzr, xzr
+
+ add x0, x0, #32
+ // Temporarily store x8,x9 in x2
+ stp x8,x9, [x2,#32]
+ // x21-x28 <- AH x BH
+ $mul_ahbh
+ // Restore x8,x9
+ ldp x8,x9, [x2,#32]
+
+ neg x1, x1
+
+ // x8-x9,x19,x20,x14-x17 <- (AH+AL) x (BH+BL) - ALxBL - AHxBH
+ subs x8, x8, x21
+ sbcs x9, x9, x22
+ sbcs x19, x19, x23
+ sbcs x20, x20, x24
+ sbcs x14, x14, x25
+ sbcs x15, x15, x26
+ sbcs x16, x16, xzr
+ sbcs x17, x17, xzr
+ sbc x7, x7, xzr
+
+ // Store (AH+AL) x (BH+BL) - ALxBL - AHxBH, low
+ stp x8, x9, [x2,#32]
+ stp x19, x20, [x2,#48]
+
+ adds x1, x1, #1
+ adcs x14, x14, x21
+ adcs x15, x15, x22
+ adcs x16, x16, x23
+ adcs x17, x17, x24
+ adcs x25, x7, x25
+ adc x26, x26, xzr
+
+ stp x14, x15, [x2,#64]
+ stp x16, x17, [x2,#80]
+ stp x25, x26, [x2,#96]
+
+ ldp x19, x20, [x29,#16]
+ ldp x21, x22, [x29,#32]
+ ldp x23, x24, [x29,#48]
+ ldp x25, x26, [x29,#64]
+ ldp x27, x28, [x29,#80]
+ ldp x29, x30, [sp],#96
+ ret
+___
+ return $body;
+}
+$code.=&mul();
+
+# Montgomery reduction
+# Based on method described in Faz-Hernandez et al. https://eprint.iacr.org/2017/1015
+# Operation: mc [x1] = ma [x0]
+# NOTE: ma=mc is not allowed
+sub rdc {
+ my $mul01=&mul128x256(
+ "x2","x3", # A0-A1
+ "x23","x24","x25","x26", # B0-B3
+ "x4","x5","x6","x7","x8","x9", # C0-C5
+ "x10","x11","x27","x28"); # TMP
+ my $mul23=&mul128x256(
+ "x2","x10", # A0-A1
+ "x23","x24","x25","x26", # B0-B3
+ "x4","x5","x6","x7","x8","x9", # C0-C5
+ "x0","x3","x27","x28"); # TMP
+ my $mul45=&mul128x256(
+ "x11","x12", # A0-A1
+ "x23","x24","x25","x26", # B0-B3
+ "x4","x5","x6","x7","x8","x9", # C0-C5
+ "x10","x3","x27","x28"); # TMP
+ my $mul67=&mul64x256(
+ "x13", # A0
+ "x23","x24","x25","x26", # B0-B3
+ "x4","x5","x6","x7","x8", # C0-C4
+ "x10","x27","x28"); # TMP
+ my $body=<<___;
+ .global ${PREFIX}_fprdc
+ .align 4
+ ${PREFIX}_fprdc:
+ stp x29, x30, [sp, #-96]!
+ add x29, sp, xzr
+ 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]
+
+ ldp x2, x3, [x0,#0] // a[0-1]
+
+ // Load the prime constant
+ adrp x26, :pg_hi21:.Lp434p1
+ add x26, x26, :lo12:.Lp434p1
+ ldp x23, x24, [x26, #0x0]
+ ldp x25, x26, [x26,#0x10]
+
+ // a[0-1] * p434+1
+ $mul01
+
+ ldp x10, x11, [x0, #0x18]
+ ldp x12, x13, [x0, #0x28]
+ ldp x14, x15, [x0, #0x38]
+ ldp x16, x17, [x0, #0x48]
+ ldp x19, x20, [x0, #0x58]
+ ldr x21, [x0, #0x68]
+
+ adds x10, x10, x4
+ adcs x11, x11, x5
+ adcs x12, x12, x6
+ adcs x13, x13, x7
+ adcs x14, x14, x8
+ adcs x15, x15, x9
+ adcs x22, x16, xzr
+ adcs x17, x17, xzr
+ adcs x19, x19, xzr
+ adcs x20, x20, xzr
+ adc x21, x21, xzr
+
+ ldr x2, [x0,#0x10] // a[2]
+ // a[2-3] * p434+1
+ $mul23
+
+ adds x12, x12, x4
+ adcs x13, x13, x5
+ adcs x14, x14, x6
+ adcs x15, x15, x7
+ adcs x16, x22, x8
+ adcs x17, x17, x9
+ adcs x22, x19, xzr
+ adcs x20, x20, xzr
+ adc x21, x21, xzr
+
+ $mul45
+ adds x14, x14, x4
+ adcs x15, x15, x5
+ adcs x16, x16, x6
+ adcs x17, x17, x7
+ adcs x19, x22, x8
+ adcs x20, x20, x9
+ adc x22, x21, xzr
+
+ stp x14, x15, [x1, #0x0] // C0, C1
+
+ $mul67
+ adds x16, x16, x4
+ adcs x17, x17, x5
+ adcs x19, x19, x6
+ adcs x20, x20, x7
+ adc x21, x22, x8
+
+ str x16, [x1, #0x10]
+ stp x17, x19, [x1, #0x18]
+ stp x20, x21, [x1, #0x28]
+
+ ldp x19, x20, [x29,#16]
+ ldp x21, x22, [x29,#32]
+ ldp x23, x24, [x29,#48]
+ ldp x25, x26, [x29,#64]
+ ldp x27, x28, [x29,#80]
+ ldp x29, x30, [sp],#96
+ ret
+___
+}
+$code.=&rdc();
+
+# Field addition
+# Operation: c [x2] = a [x0] + b [x1]
+$code.=<<___;
+ .global ${PREFIX}_fpadd
+ .align 4
+ ${PREFIX}_fpadd:
+ stp x29,x30, [sp,#-16]!
+ add x29, sp, #0
+
+ ldp x3, x4, [x0,#0]
+ ldp x5, x6, [x0,#16]
+ ldp x7, x8, [x0,#32]
+ ldr x9, [x0,#48]
+ ldp x11, x12, [x1,#0]
+ ldp x13, x14, [x1,#16]
+ ldp x15, x16, [x1,#32]
+ ldr x17, [x1,#48]
+
+ // Add a + b
+ adds x3, x3, x11
+ adcs x4, x4, x12
+ adcs x5, x5, x13
+ adcs x6, x6, x14
+ adcs x7, x7, x15
+ adcs x8, x8, x16
+ adc x9, x9, x17
+
+ // Subtract 2xp434
+ adrp x17, :pg_hi21:.Lp434x2
+ add x17, x17, :lo12:.Lp434x2
+ ldp x11, x12, [x17, #0]
+ ldp x13, x14, [x17, #16]
+ ldp x15, x16, [x17, #32]
+ subs x3, x3, x11
+ sbcs x4, x4, x12
+ sbcs x5, x5, x12
+ sbcs x6, x6, x13
+ sbcs x7, x7, x14
+ sbcs x8, x8, x15
+ sbcs x9, x9, x16
+ sbc x0, xzr, xzr // x0 can be reused now
+
+ // Add 2xp434 anded with the mask in x0
+ and x11, x11, x0
+ and x12, x12, x0
+ and x13, x13, x0
+ and x14, x14, x0
+ and x15, x15, x0
+ and x16, x16, x0
+
+ adds x3, x3, x11
+ adcs x4, x4, x12
+ adcs x5, x5, x12
+ adcs x6, x6, x13
+ adcs x7, x7, x14
+ adcs x8, x8, x15
+ adc x9, x9, x16
+
+ stp x3, x4, [x2,#0]
+ stp x5, x6, [x2,#16]
+ stp x7, x8, [x2,#32]
+ str x9, [x2,#48]
+
+ ldp x29, x30, [sp],#16
+ ret
+___
+
+# Field subtraction
+# Operation: c [x2] = a [x0] - b [x1]
+$code.=<<___;
+ .global ${PREFIX}_fpsub
+ .align 4
+ ${PREFIX}_fpsub:
+ stp x29, x30, [sp,#-16]!
+ add x29, sp, #0
+
+ ldp x3, x4, [x0,#0]
+ ldp x5, x6, [x0,#16]
+ ldp x7, x8, [x0,#32]
+ ldr x9, [x0,#48]
+ ldp x11, x12, [x1,#0]
+ ldp x13, x14, [x1,#16]
+ ldp x15, x16, [x1,#32]
+ ldr x17, [x1,#48]
+
+ // Subtract a - b
+ subs x3, x3, x11
+ sbcs x4, x4, x12
+ sbcs x5, x5, x13
+ sbcs x6, x6, x14
+ sbcs x7, x7, x15
+ sbcs x8, x8, x16
+ sbcs x9, x9, x17
+ sbc x0, xzr, xzr
+
+ // Add 2xp434 anded with the mask in x0
+ adrp x17, :pg_hi21:.Lp434x2
+ add x17, x17, :lo12:.Lp434x2
+
+ // First half
+ ldp x11, x12, [x17, #0]
+ ldp x13, x14, [x17, #16]
+ ldp x15, x16, [x17, #32]
+
+ // Add 2xp434 anded with the mask in x0
+ and x11, x11, x0
+ and x12, x12, x0
+ and x13, x13, x0
+ and x14, x14, x0
+ and x15, x15, x0
+ and x16, x16, x0
+
+ adds x3, x3, x11
+ adcs x4, x4, x12
+ adcs x5, x5, x12
+ adcs x6, x6, x13
+ adcs x7, x7, x14
+ adcs x8, x8, x15
+ adc x9, x9, x16
+
+ stp x3, x4, [x2,#0]
+ stp x5, x6, [x2,#16]
+ stp x7, x8, [x2,#32]
+ str x9, [x2,#48]
+
+ ldp x29, x30, [sp],#16
+ ret
+___
+
+# 434-bit multiprecision addition
+# Operation: c [x2] = a [x0] + b [x1]
+$code.=<<___;
+ .global ${PREFIX}_mpadd_asm
+ .align 4
+ ${PREFIX}_mpadd_asm:
+ stp x29, x30, [sp,#-16]!
+ add x29, sp, #0
+
+ ldp x3, x4, [x0,#0]
+ ldp x5, x6, [x0,#16]
+ ldp x7, x8, [x0,#32]
+ ldr x9, [x0,#48]
+ ldp x11, x12, [x1,#0]
+ ldp x13, x14, [x1,#16]
+ ldp x15, x16, [x1,#32]
+ ldr x17, [x1,#48]
+
+ adds x3, x3, x11
+ adcs x4, x4, x12
+ adcs x5, x5, x13
+ adcs x6, x6, x14
+ adcs x7, x7, x15
+ adcs x8, x8, x16
+ adc x9, x9, x17
+
+ stp x3, x4, [x2,#0]
+ stp x5, x6, [x2,#16]
+ stp x7, x8, [x2,#32]
+ str x9, [x2,#48]
+
+ ldp x29, x30, [sp],#16
+ ret
+___
+
+# 2x434-bit multiprecision subtraction
+# Operation: c [x2] = a [x0] - b [x1].
+# Returns borrow mask
+$code.=<<___;
+ .global ${PREFIX}_mpsubx2_asm
+ .align 4
+ ${PREFIX}_mpsubx2_asm:
+ stp x29, x30, [sp,#-16]!
+ add x29, sp, #0
+
+ ldp x3, x4, [x0,#0]
+ ldp x5, x6, [x0,#16]
+ ldp x11, x12, [x1,#0]
+ ldp x13, x14, [x1,#16]
+ subs x3, x3, x11
+ sbcs x4, x4, x12
+ sbcs x5, x5, x13
+ sbcs x6, x6, x14
+ ldp x7, x8, [x0,#32]
+ ldp x9, x10, [x0,#48]
+ ldp x11, x12, [x1,#32]
+ ldp x13, x14, [x1,#48]
+ sbcs x7, x7, x11
+ sbcs x8, x8, x12
+ sbcs x9, x9, x13
+ sbcs x10, x10, x14
+
+ stp x3, x4, [x2,#0]
+ stp x5, x6, [x2,#16]
+ stp x7, x8, [x2,#32]
+ stp x9, x10, [x2,#48]
+
+ ldp x3, x4, [x0,#64]
+ ldp x5, x6, [x0,#80]
+ ldp x11, x12, [x1,#64]
+ ldp x13, x14, [x1,#80]
+ sbcs x3, x3, x11
+ sbcs x4, x4, x12
+ sbcs x5, x5, x13
+ sbcs x6, x6, x14
+ ldp x7, x8, [x0,#96]
+ ldp x11, x12, [x1,#96]
+ sbcs x7, x7, x11
+ sbcs x8, x8, x12
+ sbc x0, xzr, xzr
+
+ stp x3, x4, [x2,#64]
+ stp x5, x6, [x2,#80]
+ stp x7, x8, [x2,#96]
+
+ ldp x29, x30, [sp],#16
+ ret
+___
+
+
+# Double 2x434-bit multiprecision subtraction
+# Operation: c [x2] = c [x2] - a [x0] - b [x1]
+$code.=<<___;
+ .global ${PREFIX}_mpdblsubx2_asm
+ .align 4
+ ${PREFIX}_mpdblsubx2_asm:
+ stp x29, x30, [sp, #-16]!
+ add x29, sp, #0
+
+ ldp x3, x4, [x2, #0]
+ ldp x5, x6, [x2,#16]
+ ldp x7, x8, [x2,#32]
+
+ ldp x11, x12, [x0, #0]
+ ldp x13, x14, [x0,#16]
+ ldp x15, x16, [x0,#32]
+
+ subs x3, x3, x11
+ sbcs x4, x4, x12
+ sbcs x5, x5, x13
+ sbcs x6, x6, x14
+ sbcs x7, x7, x15
+ sbcs x8, x8, x16
+
+ // x9 stores carry
+ adc x9, xzr, xzr
+
+ ldp x11, x12, [x1, #0]
+ ldp x13, x14, [x1,#16]
+ ldp x15, x16, [x1,#32]
+ subs x3, x3, x11
+ sbcs x4, x4, x12
+ sbcs x5, x5, x13
+ sbcs x6, x6, x14
+ sbcs x7, x7, x15
+ sbcs x8, x8, x16
+ adc x9, x9, xzr
+
+ stp x3, x4, [x2, #0]
+ stp x5, x6, [x2,#16]
+ stp x7, x8, [x2,#32]
+
+ ldp x3, x4, [x2,#48]
+ ldp x5, x6, [x2,#64]
+ ldp x7, x8, [x2,#80]
+
+ ldp x11, x12, [x0,#48]
+ ldp x13, x14, [x0,#64]
+ ldp x15, x16, [x0,#80]
+
+ // x9 = 2 - x9
+ neg x9, x9
+ add x9, x9, #2
+
+ subs x3, x3, x9
+ sbcs x3, x3, x11
+ sbcs x4, x4, x12
+ sbcs x5, x5, x13
+ sbcs x6, x6, x14
+ sbcs x7, x7, x15
+ sbcs x8, x8, x16
+ adc x9, xzr, xzr
+
+ ldp x11, x12, [x1,#48]
+ ldp x13, x14, [x1,#64]
+ ldp x15, x16, [x1,#80]
+ subs x3, x3, x11
+ sbcs x4, x4, x12
+ sbcs x5, x5, x13
+ sbcs x6, x6, x14
+ sbcs x7, x7, x15
+ sbcs x8, x8, x16
+ adc x9, x9, xzr
+
+ stp x3, x4, [x2,#48]
+ stp x5, x6, [x2,#64]
+ stp x7, x8, [x2,#80]
+
+ ldp x3, x4, [x2,#96]
+ ldp x11, x12, [x0,#96]
+ ldp x13, x14, [x1,#96]
+
+ // x9 = 2 - x9
+ neg x9, x9
+ add x9, x9, #2
+
+ subs x3, x3, x9
+ sbcs x3, x3, x11
+ sbcs x4, x4, x12
+ subs x3, x3, x13
+ sbc x4, x4, x14
+ stp x3, x4, [x2,#96]
+
+ ldp x29, x30, [sp],#16
+ ret
+___
+
+foreach (split("\n",$code)) {
+ s/\`([^\`]*)\`/eval($1)/ge;
+ print $_,"\n";
+}
+
+close STDOUT;