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Message-Id: <20230426191147.60610-4-dtsen@linux.ibm.com>
Date: Wed, 26 Apr 2023 15:11:45 -0400
From: Danny Tsen <dtsen@...ux.ibm.com>
To: linux-crypto@...r.kernel.org
Cc: herbert@...dor.apana.org.au, leitao@...ian.org,
nayna@...ux.ibm.com, appro@...ptogams.org,
linux-kernel@...r.kernel.org, linuxppc-dev@...ts.ozlabs.org,
mpe@...erman.id.au, ltcgcw@...ux.vnet.ibm.com, dtsen@...ibm.com,
Danny Tsen <dtsen@...ux.ibm.com>
Subject: [PATCH v2 3/5] An optimized Poly1305 implementation with 4-way unrolling for ppc64le.
Improve overall performance of Poly1305 for Power10 or later CPU.
Signed-off-by: Danny Tsen <dtsen@...ux.ibm.com>
---
arch/powerpc/crypto/poly1305-p10le_64.S | 1075 +++++++++++++++++++++++
1 file changed, 1075 insertions(+)
create mode 100644 arch/powerpc/crypto/poly1305-p10le_64.S
diff --git a/arch/powerpc/crypto/poly1305-p10le_64.S b/arch/powerpc/crypto/poly1305-p10le_64.S
new file mode 100644
index 000000000000..a3c1987f1ecd
--- /dev/null
+++ b/arch/powerpc/crypto/poly1305-p10le_64.S
@@ -0,0 +1,1075 @@
+/* SPDX-License-Identifier: GPL-2.0-or-later */
+#
+# Accelerated poly1305 implementation for ppc64le.
+#
+# Copyright 2023- IBM Corp. All rights reserved
+#
+#===================================================================================
+# Written by Danny Tsen <dtsen@...ibm.com>
+#
+# Poly1305 - this version mainly using vector/VSX/Scalar
+# - 26 bits limbs
+# - Handle multiple 64 byte blcok.
+#
+# Block size 16 bytes
+# key = (r, s)
+# clamp r &= 0x0FFFFFFC0FFFFFFC 0x0FFFFFFC0FFFFFFF
+# p = 2^130 - 5
+# a += m
+# a = (r + a) % p
+# a += s
+#
+# Improve performance by breaking down polynominal to the sum of products with
+# h4 = m1 * r⁴ + m2 * r³ + m3 * r² + m4 * r
+#
+# 07/22/21 - this revison based on the above sum of products. Setup r^4, r^3, r^2, r and s3, s2, s1, s0
+# to 9 vectors for multiplications.
+#
+# setup r^4, r^3, r^2, r vectors
+# vs [r^1, r^3, r^2, r^4]
+# vs0 = [r0,.....]
+# vs1 = [r1,.....]
+# vs2 = [r2,.....]
+# vs3 = [r3,.....]
+# vs4 = [r4,.....]
+# vs5 = [r1*5,...]
+# vs6 = [r2*5,...]
+# vs7 = [r2*5,...]
+# vs8 = [r4*5,...]
+#
+# Each word in a vector consists a member of a "r/s" in [a * r/s].
+#
+# r0, r4*5, r3*5, r2*5, r1*5;
+# r1, r0, r4*5, r3*5, r2*5;
+# r2, r1, r0, r4*5, r3*5;
+# r3, r2, r1, r0, r4*5;
+# r4, r3, r2, r1, r0 ;
+#
+#
+# poly1305_p10le_4blocks( uint8_t *k, uint32_t mlen, uint8_t *m)
+# k = 32 bytes key
+# r3 = k (r, s)
+# r4 = mlen
+# r5 = m
+#
+#include <asm/ppc_asm.h>
+#include <asm/asm-offsets.h>
+#include <asm/asm-compat.h>
+#include <linux/linkage.h>
+
+.machine "any"
+
+.text
+
+.macro SAVE_GPR GPR OFFSET FRAME
+ std \GPR,\OFFSET(\FRAME)
+.endm
+
+.macro SAVE_VRS VRS OFFSET FRAME
+ li 16, \OFFSET
+ stvx \VRS, 16, \FRAME
+.endm
+
+.macro SAVE_VSX VSX OFFSET FRAME
+ li 16, \OFFSET
+ stxvx \VSX, 16, \FRAME
+.endm
+
+.macro RESTORE_GPR GPR OFFSET FRAME
+ ld \GPR,\OFFSET(\FRAME)
+.endm
+
+.macro RESTORE_VRS VRS OFFSET FRAME
+ li 16, \OFFSET
+ lvx \VRS, 16, \FRAME
+.endm
+
+.macro RESTORE_VSX VSX OFFSET FRAME
+ li 16, \OFFSET
+ lxvx \VSX, 16, \FRAME
+.endm
+
+.macro SAVE_REGS
+ mflr 0
+ std 0, 16(1)
+ stdu 1,-752(1)
+
+ SAVE_GPR 14, 112, 1
+ SAVE_GPR 15, 120, 1
+ SAVE_GPR 16, 128, 1
+ SAVE_GPR 17, 136, 1
+ SAVE_GPR 18, 144, 1
+ SAVE_GPR 19, 152, 1
+ SAVE_GPR 20, 160, 1
+ SAVE_GPR 21, 168, 1
+ SAVE_GPR 22, 176, 1
+ SAVE_GPR 23, 184, 1
+ SAVE_GPR 24, 192, 1
+ SAVE_GPR 25, 200, 1
+ SAVE_GPR 26, 208, 1
+ SAVE_GPR 27, 216, 1
+ SAVE_GPR 28, 224, 1
+ SAVE_GPR 29, 232, 1
+ SAVE_GPR 30, 240, 1
+ SAVE_GPR 31, 248, 1
+
+ addi 9, 1, 256
+ SAVE_VRS 20, 0, 9
+ SAVE_VRS 21, 16, 9
+ SAVE_VRS 22, 32, 9
+ SAVE_VRS 23, 48, 9
+ SAVE_VRS 24, 64, 9
+ SAVE_VRS 25, 80, 9
+ SAVE_VRS 26, 96, 9
+ SAVE_VRS 27, 112, 9
+ SAVE_VRS 28, 128, 9
+ SAVE_VRS 29, 144, 9
+ SAVE_VRS 30, 160, 9
+ SAVE_VRS 31, 176, 9
+
+ SAVE_VSX 14, 192, 9
+ SAVE_VSX 15, 208, 9
+ SAVE_VSX 16, 224, 9
+ SAVE_VSX 17, 240, 9
+ SAVE_VSX 18, 256, 9
+ SAVE_VSX 19, 272, 9
+ SAVE_VSX 20, 288, 9
+ SAVE_VSX 21, 304, 9
+ SAVE_VSX 22, 320, 9
+ SAVE_VSX 23, 336, 9
+ SAVE_VSX 24, 352, 9
+ SAVE_VSX 25, 368, 9
+ SAVE_VSX 26, 384, 9
+ SAVE_VSX 27, 400, 9
+ SAVE_VSX 28, 416, 9
+ SAVE_VSX 29, 432, 9
+ SAVE_VSX 30, 448, 9
+ SAVE_VSX 31, 464, 9
+.endm # SAVE_REGS
+
+.macro RESTORE_REGS
+ addi 9, 1, 256
+ RESTORE_VRS 20, 0, 9
+ RESTORE_VRS 21, 16, 9
+ RESTORE_VRS 22, 32, 9
+ RESTORE_VRS 23, 48, 9
+ RESTORE_VRS 24, 64, 9
+ RESTORE_VRS 25, 80, 9
+ RESTORE_VRS 26, 96, 9
+ RESTORE_VRS 27, 112, 9
+ RESTORE_VRS 28, 128, 9
+ RESTORE_VRS 29, 144, 9
+ RESTORE_VRS 30, 160, 9
+ RESTORE_VRS 31, 176, 9
+
+ RESTORE_VSX 14, 192, 9
+ RESTORE_VSX 15, 208, 9
+ RESTORE_VSX 16, 224, 9
+ RESTORE_VSX 17, 240, 9
+ RESTORE_VSX 18, 256, 9
+ RESTORE_VSX 19, 272, 9
+ RESTORE_VSX 20, 288, 9
+ RESTORE_VSX 21, 304, 9
+ RESTORE_VSX 22, 320, 9
+ RESTORE_VSX 23, 336, 9
+ RESTORE_VSX 24, 352, 9
+ RESTORE_VSX 25, 368, 9
+ RESTORE_VSX 26, 384, 9
+ RESTORE_VSX 27, 400, 9
+ RESTORE_VSX 28, 416, 9
+ RESTORE_VSX 29, 432, 9
+ RESTORE_VSX 30, 448, 9
+ RESTORE_VSX 31, 464, 9
+
+ RESTORE_GPR 14, 112, 1
+ RESTORE_GPR 15, 120, 1
+ RESTORE_GPR 16, 128, 1
+ RESTORE_GPR 17, 136, 1
+ RESTORE_GPR 18, 144, 1
+ RESTORE_GPR 19, 152, 1
+ RESTORE_GPR 20, 160, 1
+ RESTORE_GPR 21, 168, 1
+ RESTORE_GPR 22, 176, 1
+ RESTORE_GPR 23, 184, 1
+ RESTORE_GPR 24, 192, 1
+ RESTORE_GPR 25, 200, 1
+ RESTORE_GPR 26, 208, 1
+ RESTORE_GPR 27, 216, 1
+ RESTORE_GPR 28, 224, 1
+ RESTORE_GPR 29, 232, 1
+ RESTORE_GPR 30, 240, 1
+ RESTORE_GPR 31, 248, 1
+
+ addi 1, 1, 752
+ ld 0, 16(1)
+ mtlr 0
+.endm # RESTORE_REGS
+
+#
+# p[0] = a0*r0 + a1*r4*5 + a2*r3*5 + a3*r2*5 + a4*r1*5;
+# p[1] = a0*r1 + a1*r0 + a2*r4*5 + a3*r3*5 + a4*r2*5;
+# p[2] = a0*r2 + a1*r1 + a2*r0 + a3*r4*5 + a4*r3*5;
+# p[3] = a0*r3 + a1*r2 + a2*r1 + a3*r0 + a4*r4*5;
+# p[4] = a0*r4 + a1*r3 + a2*r2 + a3*r1 + a4*r0 ;
+#
+# [r^2, r^3, r^1, r^4]
+# [m3, m2, m4, m1]
+#
+# multiply odd and even words
+.macro mul_odd
+ vmulouw 14, 4, 26
+ vmulouw 10, 5, 3
+ vmulouw 11, 6, 2
+ vmulouw 12, 7, 1
+ vmulouw 13, 8, 0
+ vmulouw 15, 4, 27
+ vaddudm 14, 14, 10
+ vaddudm 14, 14, 11
+ vmulouw 10, 5, 26
+ vmulouw 11, 6, 3
+ vaddudm 14, 14, 12
+ vaddudm 14, 14, 13 # x0
+ vaddudm 15, 15, 10
+ vaddudm 15, 15, 11
+ vmulouw 12, 7, 2
+ vmulouw 13, 8, 1
+ vaddudm 15, 15, 12
+ vaddudm 15, 15, 13 # x1
+ vmulouw 16, 4, 28
+ vmulouw 10, 5, 27
+ vmulouw 11, 6, 26
+ vaddudm 16, 16, 10
+ vaddudm 16, 16, 11
+ vmulouw 12, 7, 3
+ vmulouw 13, 8, 2
+ vaddudm 16, 16, 12
+ vaddudm 16, 16, 13 # x2
+ vmulouw 17, 4, 29
+ vmulouw 10, 5, 28
+ vmulouw 11, 6, 27
+ vaddudm 17, 17, 10
+ vaddudm 17, 17, 11
+ vmulouw 12, 7, 26
+ vmulouw 13, 8, 3
+ vaddudm 17, 17, 12
+ vaddudm 17, 17, 13 # x3
+ vmulouw 18, 4, 30
+ vmulouw 10, 5, 29
+ vmulouw 11, 6, 28
+ vaddudm 18, 18, 10
+ vaddudm 18, 18, 11
+ vmulouw 12, 7, 27
+ vmulouw 13, 8, 26
+ vaddudm 18, 18, 12
+ vaddudm 18, 18, 13 # x4
+.endm
+
+.macro mul_even
+ vmuleuw 9, 4, 26
+ vmuleuw 10, 5, 3
+ vmuleuw 11, 6, 2
+ vmuleuw 12, 7, 1
+ vmuleuw 13, 8, 0
+ vaddudm 14, 14, 9
+ vaddudm 14, 14, 10
+ vaddudm 14, 14, 11
+ vaddudm 14, 14, 12
+ vaddudm 14, 14, 13 # x0
+
+ vmuleuw 9, 4, 27
+ vmuleuw 10, 5, 26
+ vmuleuw 11, 6, 3
+ vmuleuw 12, 7, 2
+ vmuleuw 13, 8, 1
+ vaddudm 15, 15, 9
+ vaddudm 15, 15, 10
+ vaddudm 15, 15, 11
+ vaddudm 15, 15, 12
+ vaddudm 15, 15, 13 # x1
+
+ vmuleuw 9, 4, 28
+ vmuleuw 10, 5, 27
+ vmuleuw 11, 6, 26
+ vmuleuw 12, 7, 3
+ vmuleuw 13, 8, 2
+ vaddudm 16, 16, 9
+ vaddudm 16, 16, 10
+ vaddudm 16, 16, 11
+ vaddudm 16, 16, 12
+ vaddudm 16, 16, 13 # x2
+
+ vmuleuw 9, 4, 29
+ vmuleuw 10, 5, 28
+ vmuleuw 11, 6, 27
+ vmuleuw 12, 7, 26
+ vmuleuw 13, 8, 3
+ vaddudm 17, 17, 9
+ vaddudm 17, 17, 10
+ vaddudm 17, 17, 11
+ vaddudm 17, 17, 12
+ vaddudm 17, 17, 13 # x3
+
+ vmuleuw 9, 4, 30
+ vmuleuw 10, 5, 29
+ vmuleuw 11, 6, 28
+ vmuleuw 12, 7, 27
+ vmuleuw 13, 8, 26
+ vaddudm 18, 18, 9
+ vaddudm 18, 18, 10
+ vaddudm 18, 18, 11
+ vaddudm 18, 18, 12
+ vaddudm 18, 18, 13 # x4
+.endm
+
+#
+# poly1305_setup_r
+#
+# setup r^4, r^3, r^2, r vectors
+# [r, r^3, r^2, r^4]
+# vs0 = [r0,...]
+# vs1 = [r1,...]
+# vs2 = [r2,...]
+# vs3 = [r3,...]
+# vs4 = [r4,...]
+# vs5 = [r4*5,...]
+# vs6 = [r3*5,...]
+# vs7 = [r2*5,...]
+# vs8 = [r1*5,...]
+#
+# r0, r4*5, r3*5, r2*5, r1*5;
+# r1, r0, r4*5, r3*5, r2*5;
+# r2, r1, r0, r4*5, r3*5;
+# r3, r2, r1, r0, r4*5;
+# r4, r3, r2, r1, r0 ;
+#
+.macro poly1305_setup_r
+
+ # save r
+ xxlor 26, 58, 58
+ xxlor 27, 59, 59
+ xxlor 28, 60, 60
+ xxlor 29, 61, 61
+ xxlor 30, 62, 62
+
+ xxlxor 31, 31, 31
+
+# [r, r^3, r^2, r^4]
+ # compute r^2
+ vmr 4, 26
+ vmr 5, 27
+ vmr 6, 28
+ vmr 7, 29
+ vmr 8, 30
+ bl do_mul # r^2 r^1
+ xxpermdi 58, 58, 36, 0x3 # r0
+ xxpermdi 59, 59, 37, 0x3 # r1
+ xxpermdi 60, 60, 38, 0x3 # r2
+ xxpermdi 61, 61, 39, 0x3 # r3
+ xxpermdi 62, 62, 40, 0x3 # r4
+ xxpermdi 36, 36, 36, 0x3
+ xxpermdi 37, 37, 37, 0x3
+ xxpermdi 38, 38, 38, 0x3
+ xxpermdi 39, 39, 39, 0x3
+ xxpermdi 40, 40, 40, 0x3
+ vspltisb 13, 2
+ vsld 9, 27, 13
+ vsld 10, 28, 13
+ vsld 11, 29, 13
+ vsld 12, 30, 13
+ vaddudm 0, 9, 27
+ vaddudm 1, 10, 28
+ vaddudm 2, 11, 29
+ vaddudm 3, 12, 30
+
+ bl do_mul # r^4 r^3
+ vmrgow 26, 26, 4
+ vmrgow 27, 27, 5
+ vmrgow 28, 28, 6
+ vmrgow 29, 29, 7
+ vmrgow 30, 30, 8
+ vspltisb 13, 2
+ vsld 9, 27, 13
+ vsld 10, 28, 13
+ vsld 11, 29, 13
+ vsld 12, 30, 13
+ vaddudm 0, 9, 27
+ vaddudm 1, 10, 28
+ vaddudm 2, 11, 29
+ vaddudm 3, 12, 30
+
+ # r^2 r^4
+ xxlor 0, 58, 58
+ xxlor 1, 59, 59
+ xxlor 2, 60, 60
+ xxlor 3, 61, 61
+ xxlor 4, 62, 62
+ xxlor 5, 32, 32
+ xxlor 6, 33, 33
+ xxlor 7, 34, 34
+ xxlor 8, 35, 35
+
+ vspltw 9, 26, 3
+ vspltw 10, 26, 2
+ vmrgow 26, 10, 9
+ vspltw 9, 27, 3
+ vspltw 10, 27, 2
+ vmrgow 27, 10, 9
+ vspltw 9, 28, 3
+ vspltw 10, 28, 2
+ vmrgow 28, 10, 9
+ vspltw 9, 29, 3
+ vspltw 10, 29, 2
+ vmrgow 29, 10, 9
+ vspltw 9, 30, 3
+ vspltw 10, 30, 2
+ vmrgow 30, 10, 9
+
+ vsld 9, 27, 13
+ vsld 10, 28, 13
+ vsld 11, 29, 13
+ vsld 12, 30, 13
+ vaddudm 0, 9, 27
+ vaddudm 1, 10, 28
+ vaddudm 2, 11, 29
+ vaddudm 3, 12, 30
+.endm
+
+SYM_FUNC_START_LOCAL(do_mul)
+ mul_odd
+
+ # do reduction ( h %= p )
+ # carry reduction
+ vspltisb 9, 2
+ vsrd 10, 14, 31
+ vsrd 11, 17, 31
+ vand 7, 17, 25
+ vand 4, 14, 25
+ vaddudm 18, 18, 11
+ vsrd 12, 18, 31
+ vaddudm 15, 15, 10
+
+ vsrd 11, 15, 31
+ vand 8, 18, 25
+ vand 5, 15, 25
+ vaddudm 4, 4, 12
+ vsld 10, 12, 9
+ vaddudm 6, 16, 11
+
+ vsrd 13, 6, 31
+ vand 6, 6, 25
+ vaddudm 4, 4, 10
+ vsrd 10, 4, 31
+ vaddudm 7, 7, 13
+
+ vsrd 11, 7, 31
+ vand 7, 7, 25
+ vand 4, 4, 25
+ vaddudm 5, 5, 10
+ vaddudm 8, 8, 11
+ blr
+SYM_FUNC_END(do_mul)
+
+#
+# init key
+#
+.macro do_poly1305_init
+ addis 10, 2, rmask@toc@ha
+ addi 10, 10, rmask@toc@l
+
+ ld 11, 0(10)
+ ld 12, 8(10)
+
+ li 14, 16
+ li 15, 32
+ addis 10, 2, cnum@toc@ha
+ addi 10, 10, cnum@toc@l
+ lvx 25, 0, 10 # v25 - mask
+ lvx 31, 14, 10 # v31 = 1a
+ lvx 19, 15, 10 # v19 = 1 << 24
+ lxv 24, 48(10) # vs24
+ lxv 25, 64(10) # vs25
+
+ # initialize
+ # load key from r3 to vectors
+ ld 9, 24(3)
+ ld 10, 32(3)
+ and. 9, 9, 11
+ and. 10, 10, 12
+
+ # break 26 bits
+ extrdi 14, 9, 26, 38
+ extrdi 15, 9, 26, 12
+ extrdi 16, 9, 12, 0
+ mtvsrdd 58, 0, 14
+ insrdi 16, 10, 14, 38
+ mtvsrdd 59, 0, 15
+ extrdi 17, 10, 26, 24
+ mtvsrdd 60, 0, 16
+ extrdi 18, 10, 24, 0
+ mtvsrdd 61, 0, 17
+ mtvsrdd 62, 0, 18
+
+ # r1 = r1 * 5, r2 = r2 * 5, r3 = r3 * 5, r4 = r4 * 5
+ li 9, 5
+ mtvsrdd 36, 0, 9
+ vmulouw 0, 27, 4 # v0 = rr0
+ vmulouw 1, 28, 4 # v1 = rr1
+ vmulouw 2, 29, 4 # v2 = rr2
+ vmulouw 3, 30, 4 # v3 = rr3
+.endm
+
+#
+# poly1305_p10le_4blocks( uint8_t *k, uint32_t mlen, uint8_t *m)
+# k = 32 bytes key
+# r3 = k (r, s)
+# r4 = mlen
+# r5 = m
+#
+SYM_FUNC_START(poly1305_p10le_4blocks)
+.align 5
+ cmpdi 5, 64
+ blt Out_no_poly1305
+
+ SAVE_REGS
+
+ do_poly1305_init
+
+ li 21, 0 # counter to message
+
+ poly1305_setup_r
+
+ # load previous H state
+ # break/convert r6 to 26 bits
+ ld 9, 0(3)
+ ld 10, 8(3)
+ ld 19, 16(3)
+ sldi 19, 19, 24
+ mtvsrdd 41, 0, 19
+ extrdi 14, 9, 26, 38
+ extrdi 15, 9, 26, 12
+ extrdi 16, 9, 12, 0
+ mtvsrdd 36, 0, 14
+ insrdi 16, 10, 14, 38
+ mtvsrdd 37, 0, 15
+ extrdi 17, 10, 26, 24
+ mtvsrdd 38, 0, 16
+ extrdi 18, 10, 24, 0
+ mtvsrdd 39, 0, 17
+ mtvsrdd 40, 0, 18
+ vor 8, 8, 9
+
+ # input m1 m2
+ add 20, 4, 21
+ xxlor 49, 24, 24
+ xxlor 50, 25, 25
+ lxvw4x 43, 0, 20
+ addi 17, 20, 16
+ lxvw4x 44, 0, 17
+ vperm 14, 11, 12, 17
+ vperm 15, 11, 12, 18
+ vand 9, 14, 25 # a0
+ vsrd 10, 14, 31 # >> 26
+ vsrd 11, 10, 31 # 12 bits left
+ vand 10, 10, 25 # a1
+ vspltisb 13, 12
+ vand 16, 15, 25
+ vsld 12, 16, 13
+ vor 11, 11, 12
+ vand 11, 11, 25 # a2
+ vspltisb 13, 14
+ vsrd 12, 15, 13 # >> 14
+ vsrd 13, 12, 31 # >> 26, a4
+ vand 12, 12, 25 # a3
+
+ vaddudm 20, 4, 9
+ vaddudm 21, 5, 10
+ vaddudm 22, 6, 11
+ vaddudm 23, 7, 12
+ vaddudm 24, 8, 13
+
+ # m3 m4
+ addi 17, 17, 16
+ lxvw4x 43, 0, 17
+ addi 17, 17, 16
+ lxvw4x 44, 0, 17
+ vperm 14, 11, 12, 17
+ vperm 15, 11, 12, 18
+ vand 9, 14, 25 # a0
+ vsrd 10, 14, 31 # >> 26
+ vsrd 11, 10, 31 # 12 bits left
+ vand 10, 10, 25 # a1
+ vspltisb 13, 12
+ vand 16, 15, 25
+ vsld 12, 16, 13
+ vspltisb 13, 14
+ vor 11, 11, 12
+ vand 11, 11, 25 # a2
+ vsrd 12, 15, 13 # >> 14
+ vsrd 13, 12, 31 # >> 26, a4
+ vand 12, 12, 25 # a3
+
+ # Smash 4 message blocks into 5 vectors of [m4, m2, m3, m1]
+ vmrgow 4, 9, 20
+ vmrgow 5, 10, 21
+ vmrgow 6, 11, 22
+ vmrgow 7, 12, 23
+ vmrgow 8, 13, 24
+ vaddudm 8, 8, 19
+
+ addi 5, 5, -64 # len -= 64
+ addi 21, 21, 64 # offset += 64
+
+ li 9, 64
+ divdu 31, 5, 9
+
+ cmpdi 31, 0
+ ble Skip_block_loop
+
+ mtctr 31
+
+# h4 = m1 * r⁴ + m2 * r³ + m3 * r² + m4 * r
+# Rewrite the polynominal sum of product as follows,
+# h1 = (h0 + m1) * r^2, h2 = (h0 + m2) * r^2
+# h3 = (h1 + m3) * r^2, h4 = (h2 + m4) * r^2 --> (h0 + m1) r*4 + (h3 + m3) r^2, (h0 + m2) r^4 + (h0 + m4) r^2
+# .... Repeat
+# h5 = (h3 + m5) * r^2, h6 = (h4 + m6) * r^2 -->
+# h7 = (h5 + m7) * r^2, h8 = (h6 + m8) * r^1 --> m5 * r^4 + m6 * r^3 + m7 * r^2 + m8 * r
+#
+loop_4blocks:
+
+ # Multiply odd words and even words
+ mul_odd
+ mul_even
+ # carry reduction
+ vspltisb 9, 2
+ vsrd 10, 14, 31
+ vsrd 11, 17, 31
+ vand 7, 17, 25
+ vand 4, 14, 25
+ vaddudm 18, 18, 11
+ vsrd 12, 18, 31
+ vaddudm 15, 15, 10
+
+ vsrd 11, 15, 31
+ vand 8, 18, 25
+ vand 5, 15, 25
+ vaddudm 4, 4, 12
+ vsld 10, 12, 9
+ vaddudm 6, 16, 11
+
+ vsrd 13, 6, 31
+ vand 6, 6, 25
+ vaddudm 4, 4, 10
+ vsrd 10, 4, 31
+ vaddudm 7, 7, 13
+
+ vsrd 11, 7, 31
+ vand 7, 7, 25
+ vand 4, 4, 25
+ vaddudm 5, 5, 10
+ vaddudm 8, 8, 11
+
+ # input m1 m2 m3 m4
+ add 20, 4, 21
+ xxlor 49, 24, 24
+ xxlor 50, 25, 25
+ lxvw4x 43, 0, 20
+ addi 17, 20, 16
+ lxvw4x 44, 0, 17
+ vperm 14, 11, 12, 17
+ vperm 15, 11, 12, 18
+ addi 17, 17, 16
+ lxvw4x 43, 0, 17
+ addi 17, 17, 16
+ lxvw4x 44, 0, 17
+ vperm 17, 11, 12, 17
+ vperm 18, 11, 12, 18
+
+ vand 20, 14, 25 # a0
+ vand 9, 17, 25 # a0
+ vsrd 21, 14, 31 # >> 26
+ vsrd 22, 21, 31 # 12 bits left
+ vsrd 10, 17, 31 # >> 26
+ vsrd 11, 10, 31 # 12 bits left
+
+ vand 21, 21, 25 # a1
+ vand 10, 10, 25 # a1
+
+ vspltisb 13, 12
+ vand 16, 15, 25
+ vsld 23, 16, 13
+ vor 22, 22, 23
+ vand 22, 22, 25 # a2
+ vand 16, 18, 25
+ vsld 12, 16, 13
+ vor 11, 11, 12
+ vand 11, 11, 25 # a2
+ vspltisb 13, 14
+ vsrd 23, 15, 13 # >> 14
+ vsrd 24, 23, 31 # >> 26, a4
+ vand 23, 23, 25 # a3
+ vsrd 12, 18, 13 # >> 14
+ vsrd 13, 12, 31 # >> 26, a4
+ vand 12, 12, 25 # a3
+
+ vaddudm 4, 4, 20
+ vaddudm 5, 5, 21
+ vaddudm 6, 6, 22
+ vaddudm 7, 7, 23
+ vaddudm 8, 8, 24
+
+ # Smash 4 message blocks into 5 vectors of [m4, m2, m3, m1]
+ vmrgow 4, 9, 4
+ vmrgow 5, 10, 5
+ vmrgow 6, 11, 6
+ vmrgow 7, 12, 7
+ vmrgow 8, 13, 8
+ vaddudm 8, 8, 19
+
+ addi 5, 5, -64 # len -= 64
+ addi 21, 21, 64 # offset += 64
+
+ bdnz loop_4blocks
+
+Skip_block_loop:
+ xxlor 58, 0, 0
+ xxlor 59, 1, 1
+ xxlor 60, 2, 2
+ xxlor 61, 3, 3
+ xxlor 62, 4, 4
+ xxlor 32, 5, 5
+ xxlor 33, 6, 6
+ xxlor 34, 7, 7
+ xxlor 35, 8, 8
+
+ # Multiply odd words and even words
+ mul_odd
+ mul_even
+
+ # Sum the products.
+ xxpermdi 41, 31, 46, 0
+ xxpermdi 42, 31, 47, 0
+ vaddudm 4, 14, 9
+ xxpermdi 36, 31, 36, 3
+ vaddudm 5, 15, 10
+ xxpermdi 37, 31, 37, 3
+ xxpermdi 43, 31, 48, 0
+ vaddudm 6, 16, 11
+ xxpermdi 38, 31, 38, 3
+ xxpermdi 44, 31, 49, 0
+ vaddudm 7, 17, 12
+ xxpermdi 39, 31, 39, 3
+ xxpermdi 45, 31, 50, 0
+ vaddudm 8, 18, 13
+ xxpermdi 40, 31, 40, 3
+
+ # carry reduction
+ vspltisb 9, 2
+ vsrd 10, 4, 31
+ vsrd 11, 7, 31
+ vand 7, 7, 25
+ vand 4, 4, 25
+ vaddudm 8, 8, 11
+ vsrd 12, 8, 31
+ vaddudm 5, 5, 10
+
+ vsrd 11, 5, 31
+ vand 8, 8, 25
+ vand 5, 5, 25
+ vaddudm 4, 4, 12
+ vsld 10, 12, 9
+ vaddudm 6, 6, 11
+
+ vsrd 13, 6, 31
+ vand 6, 6, 25
+ vaddudm 4, 4, 10
+ vsrd 10, 4, 31
+ vaddudm 7, 7, 13
+
+ vsrd 11, 7, 31
+ vand 7, 7, 25
+ vand 4, 4, 25
+ vaddudm 5, 5, 10
+ vsrd 10, 5, 31
+ vand 5, 5, 25
+ vaddudm 6, 6, 10
+ vaddudm 8, 8, 11
+
+ b do_final_update
+
+do_final_update:
+ # combine 26 bit limbs
+ # v4, v5, v6, v7 and v8 are 26 bit vectors
+ vsld 5, 5, 31
+ vor 20, 4, 5
+ vspltisb 11, 12
+ vsrd 12, 6, 11
+ vsld 6, 6, 31
+ vsld 6, 6, 31
+ vor 20, 20, 6
+ vspltisb 11, 14
+ vsld 7, 7, 11
+ vor 21, 7, 12
+ mfvsrld 16, 40 # save last 2 bytes
+ vsld 8, 8, 11
+ vsld 8, 8, 31
+ vor 21, 21, 8
+ mfvsrld 17, 52
+ mfvsrld 19, 53
+ srdi 16, 16, 24
+
+ std 17, 0(3)
+ std 19, 8(3)
+ stw 16, 16(3)
+
+Out_loop:
+ li 3, 0
+
+ RESTORE_REGS
+
+ blr
+
+Out_no_poly1305:
+ li 3, 0
+ blr
+SYM_FUNC_END(poly1305_p10le_4blocks)
+
+#
+# =======================================================================
+# The following functions implement 64 x 64 bits multiplication poly1305.
+#
+SYM_FUNC_START_LOCAL(Poly1305_init_64)
+ # mask 0x0FFFFFFC0FFFFFFC
+ # mask 0x0FFFFFFC0FFFFFFF
+ addis 10, 2, rmask@toc@ha
+ addi 10, 10, rmask@toc@l
+ ld 11, 0(10)
+ ld 12, 8(10)
+
+ # initialize
+ # load key from r3
+ ld 9, 24(3)
+ ld 10, 32(3)
+ and. 9, 9, 11 # cramp mask r0
+ and. 10, 10, 12 # cramp mask r1
+
+ srdi 21, 10, 2
+ add 19, 21, 10 # s1: r19 - (r1 >> 2) *5
+
+ # setup r and s
+ li 25, 0
+ mtvsrdd 32+0, 9, 19 # r0, s1
+ mtvsrdd 32+1, 10, 9 # r1, r0
+ mtvsrdd 32+2, 19, 25 # s1
+ mtvsrdd 32+3, 9, 25 # r0
+
+ blr
+SYM_FUNC_END(Poly1305_init_64)
+
+# Poly1305_mult
+# v6 = (h0, h1), v8 = h2
+# v0 = (r0, s1), v1 = (r1, r0), v2 = s1, v3 = r0
+#
+# Output: v7, v10, v11
+#
+SYM_FUNC_START_LOCAL(Poly1305_mult)
+ #
+ # d0 = h0 * r0 + h1 * s1
+ vmsumudm 7, 6, 0, 9 # h0 * r0, h1 * s1
+
+ # d1 = h0 * r1 + h1 * r0 + h2 * s1
+ vmsumudm 11, 6, 1, 9 # h0 * r1, h1 * r0
+ vmsumudm 10, 8, 2, 11 # d1 += h2 * s1
+
+ # d2 = r0
+ vmsumudm 11, 8, 3, 9 # d2 = h2 * r0
+ blr
+SYM_FUNC_END(Poly1305_mult)
+
+#
+# carry reduction
+# h %=p
+#
+# Input: v7, v10, v11
+# Output: r27, r28, r29
+#
+SYM_FUNC_START_LOCAL(Carry_reduction)
+ mfvsrld 27, 32+7
+ mfvsrld 28, 32+10
+ mfvsrld 29, 32+11
+ mfvsrd 20, 32+7 # h0.h
+ mfvsrd 21, 32+10 # h1.h
+
+ addc 28, 28, 20
+ adde 29, 29, 21
+ srdi 22, 29, 0x2
+ sldi 23, 22, 0x2
+ add 23, 23, 22 # (h2 & 3) * 5
+ addc 27, 27, 23 # h0
+ addze 28, 28 # h1
+ andi. 29, 29, 0x3 # h2
+ blr
+SYM_FUNC_END(Carry_reduction)
+
+#
+# poly1305 multiplication
+# h *= r, h %= p
+# d0 = h0 * r0 + h1 * s1
+# d1 = h0 * r1 + h1 * r0 + h2 * s1
+# d2 = h0 * r0
+#
+#
+# unsigned int poly1305_test_64s(unisgned char *state, const byte *src, size_t len, highbit)
+# - no highbit if final leftover block (highbit = 0)
+#
+SYM_FUNC_START(poly1305_64s)
+ cmpdi 5, 0
+ ble Out_no_poly1305_64
+
+ mflr 0
+ std 0, 16(1)
+ stdu 1,-400(1)
+
+ SAVE_GPR 14, 112, 1
+ SAVE_GPR 15, 120, 1
+ SAVE_GPR 16, 128, 1
+ SAVE_GPR 17, 136, 1
+ SAVE_GPR 18, 144, 1
+ SAVE_GPR 19, 152, 1
+ SAVE_GPR 20, 160, 1
+ SAVE_GPR 21, 168, 1
+ SAVE_GPR 22, 176, 1
+ SAVE_GPR 23, 184, 1
+ SAVE_GPR 24, 192, 1
+ SAVE_GPR 25, 200, 1
+ SAVE_GPR 26, 208, 1
+ SAVE_GPR 27, 216, 1
+ SAVE_GPR 28, 224, 1
+ SAVE_GPR 29, 232, 1
+ SAVE_GPR 30, 240, 1
+ SAVE_GPR 31, 248, 1
+
+ # Init poly1305
+ bl Poly1305_init_64
+
+ li 25, 0 # offset to inp and outp
+
+ add 11, 25, 4
+
+ # load h
+ # h0, h1, h2?
+ ld 27, 0(3)
+ ld 28, 8(3)
+ lwz 29, 16(3)
+
+ li 30, 16
+ divdu 31, 5, 30
+
+ mtctr 31
+
+ mr 24, 6 # highbit
+
+Loop_block_64:
+ vxor 9, 9, 9
+
+ ld 20, 0(11)
+ ld 21, 8(11)
+ addi 11, 11, 16
+
+ addc 27, 27, 20
+ adde 28, 28, 21
+ adde 29, 29, 24
+
+ li 22, 0
+ mtvsrdd 32+6, 27, 28 # h0, h1
+ mtvsrdd 32+8, 29, 22 # h2
+
+ bl Poly1305_mult
+
+ bl Carry_reduction
+
+ bdnz Loop_block_64
+
+ std 27, 0(3)
+ std 28, 8(3)
+ stw 29, 16(3)
+
+ li 3, 0
+
+ RESTORE_GPR 14, 112, 1
+ RESTORE_GPR 15, 120, 1
+ RESTORE_GPR 16, 128, 1
+ RESTORE_GPR 17, 136, 1
+ RESTORE_GPR 18, 144, 1
+ RESTORE_GPR 19, 152, 1
+ RESTORE_GPR 20, 160, 1
+ RESTORE_GPR 21, 168, 1
+ RESTORE_GPR 22, 176, 1
+ RESTORE_GPR 23, 184, 1
+ RESTORE_GPR 24, 192, 1
+ RESTORE_GPR 25, 200, 1
+ RESTORE_GPR 26, 208, 1
+ RESTORE_GPR 27, 216, 1
+ RESTORE_GPR 28, 224, 1
+ RESTORE_GPR 29, 232, 1
+ RESTORE_GPR 30, 240, 1
+ RESTORE_GPR 31, 248, 1
+
+ addi 1, 1, 400
+ ld 0, 16(1)
+ mtlr 0
+
+ blr
+
+Out_no_poly1305_64:
+ li 3, 0
+ blr
+SYM_FUNC_END(poly1305_64s)
+
+#
+# Input: r3 = h, r4 = s, r5 = mac
+# mac = h + s
+#
+SYM_FUNC_START(poly1305_emit_64)
+ ld 10, 0(3)
+ ld 11, 8(3)
+ ld 12, 16(3)
+
+ # compare modulus
+ # h + 5 + (-p)
+ mr 6, 10
+ mr 7, 11
+ mr 8, 12
+ addic. 6, 6, 5
+ addze 7, 7
+ addze 8, 8
+ srdi 9, 8, 2 # overflow?
+ cmpdi 9, 0
+ beq Skip_h64
+ mr 10, 6
+ mr 11, 7
+ mr 12, 8
+
+Skip_h64:
+ ld 6, 0(4)
+ ld 7, 8(4)
+ addc 10, 10, 6
+ adde 11, 11, 7
+ addze 12, 12
+
+ std 10, 0(5)
+ std 11, 8(5)
+ blr
+SYM_FUNC_END(poly1305_emit_64)
+
+SYM_DATA_START_LOCAL(RMASK)
+.align 5
+rmask:
+.byte 0xff, 0xff, 0xff, 0x0f, 0xfc, 0xff, 0xff, 0x0f, 0xfc, 0xff, 0xff, 0x0f, 0xfc, 0xff, 0xff, 0x0f
+cnum:
+.long 0x03ffffff, 0x00000000, 0x03ffffff, 0x00000000
+.long 0x1a, 0x00, 0x1a, 0x00
+.long 0x01000000, 0x01000000, 0x01000000, 0x01000000
+.long 0x00010203, 0x04050607, 0x10111213, 0x14151617
+.long 0x08090a0b, 0x0c0d0e0f, 0x18191a1b, 0x1c1d1e1f
+SYM_DATA_END(RMASK)
--
2.31.1
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