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+// Copyright 2016 The Go Authors. All rights reserved.
+// Use of this source code is governed by a BSD-style
+// license that can be found in the LICENSE file.
+
+#include "textflag.h"
+
+// Vector register range containing CRC-32 constants
+
+#define CONST_PERM_LE2BE V9
+#define CONST_R2R1 V10
+#define CONST_R4R3 V11
+#define CONST_R5 V12
+#define CONST_RU_POLY V13
+#define CONST_CRC_POLY V14
+
+
+// The CRC-32 constant block contains reduction constants to fold and
+// process particular chunks of the input data stream in parallel.
+//
+// Note that the constant definitions below are extended in order to compute
+// intermediate results with a single VECTOR GALOIS FIELD MULTIPLY instruction.
+// The rightmost doubleword can be 0 to prevent contribution to the result or
+// can be multiplied by 1 to perform an XOR without the need for a separate
+// VECTOR EXCLUSIVE OR instruction.
+//
+// The polynomials used are bit-reflected:
+//
+// IEEE: P'(x) = 0x0edb88320
+// Castagnoli: P'(x) = 0x082f63b78
+
+
+// IEEE polynomial constants
+DATA ·crclecons+0(SB)/8, $0x0F0E0D0C0B0A0908 // LE-to-BE mask
+DATA ·crclecons+8(SB)/8, $0x0706050403020100
+DATA ·crclecons+16(SB)/8, $0x00000001c6e41596 // R2
+DATA ·crclecons+24(SB)/8, $0x0000000154442bd4 // R1
+DATA ·crclecons+32(SB)/8, $0x00000000ccaa009e // R4
+DATA ·crclecons+40(SB)/8, $0x00000001751997d0 // R3
+DATA ·crclecons+48(SB)/8, $0x0000000000000000
+DATA ·crclecons+56(SB)/8, $0x0000000163cd6124 // R5
+DATA ·crclecons+64(SB)/8, $0x0000000000000000
+DATA ·crclecons+72(SB)/8, $0x00000001F7011641 // u'
+DATA ·crclecons+80(SB)/8, $0x0000000000000000
+DATA ·crclecons+88(SB)/8, $0x00000001DB710641 // P'(x) << 1
+
+GLOBL ·crclecons(SB),RODATA, $144
+
+// Castagonli Polynomial constants
+DATA ·crcclecons+0(SB)/8, $0x0F0E0D0C0B0A0908 // LE-to-BE mask
+DATA ·crcclecons+8(SB)/8, $0x0706050403020100
+DATA ·crcclecons+16(SB)/8, $0x000000009e4addf8 // R2
+DATA ·crcclecons+24(SB)/8, $0x00000000740eef02 // R1
+DATA ·crcclecons+32(SB)/8, $0x000000014cd00bd6 // R4
+DATA ·crcclecons+40(SB)/8, $0x00000000f20c0dfe // R3
+DATA ·crcclecons+48(SB)/8, $0x0000000000000000
+DATA ·crcclecons+56(SB)/8, $0x00000000dd45aab8 // R5
+DATA ·crcclecons+64(SB)/8, $0x0000000000000000
+DATA ·crcclecons+72(SB)/8, $0x00000000dea713f1 // u'
+DATA ·crcclecons+80(SB)/8, $0x0000000000000000
+DATA ·crcclecons+88(SB)/8, $0x0000000105ec76f0 // P'(x) << 1
+
+GLOBL ·crcclecons(SB),RODATA, $144
+
+// The CRC-32 function(s) use these calling conventions:
+//
+// Parameters:
+//
+// R2: Initial CRC value, typically ~0; and final CRC (return) value.
+// R3: Input buffer pointer, performance might be improved if the
+// buffer is on a doubleword boundary.
+// R4: Length of the buffer, must be 64 bytes or greater.
+//
+// Register usage:
+//
+// R5: CRC-32 constant pool base pointer.
+// V0: Initial CRC value and intermediate constants and results.
+// V1..V4: Data for CRC computation.
+// V5..V8: Next data chunks that are fetched from the input buffer.
+//
+// V9..V14: CRC-32 constants.
+
+// func vectorizedIEEE(crc uint32, p []byte) uint32
+TEXT ·vectorizedIEEE(SB),NOSPLIT,$0
+ MOVWZ crc+0(FP), R2 // R2 stores the CRC value
+ MOVD p+8(FP), R3 // data pointer
+ MOVD p_len+16(FP), R4 // len(p)
+
+ MOVD $·crclecons(SB), R5
+ BR vectorizedBody<>(SB)
+
+// func vectorizedCastagnoli(crc uint32, p []byte) uint32
+TEXT ·vectorizedCastagnoli(SB),NOSPLIT,$0
+ MOVWZ crc+0(FP), R2 // R2 stores the CRC value
+ MOVD p+8(FP), R3 // data pointer
+ MOVD p_len+16(FP), R4 // len(p)
+
+ // R5: crc-32 constant pool base pointer, constant is used to reduce crc
+ MOVD $·crcclecons(SB), R5
+ BR vectorizedBody<>(SB)
+
+TEXT vectorizedBody<>(SB),NOSPLIT,$0
+ XOR $0xffffffff, R2 // NOTW R2
+ VLM 0(R5), CONST_PERM_LE2BE, CONST_CRC_POLY
+
+ // Load the initial CRC value into the rightmost word of V0
+ VZERO V0
+ VLVGF $3, R2, V0
+
+ // Crash if the input size is less than 64-bytes.
+ CMP R4, $64
+ BLT crash
+
+ // Load a 64-byte data chunk and XOR with CRC
+ VLM 0(R3), V1, V4 // 64-bytes into V1..V4
+
+ // Reflect the data if the CRC operation is in the bit-reflected domain
+ VPERM V1, V1, CONST_PERM_LE2BE, V1
+ VPERM V2, V2, CONST_PERM_LE2BE, V2
+ VPERM V3, V3, CONST_PERM_LE2BE, V3
+ VPERM V4, V4, CONST_PERM_LE2BE, V4
+
+ VX V0, V1, V1 // V1 ^= CRC
+ ADD $64, R3 // BUF = BUF + 64
+ ADD $(-64), R4
+
+ // Check remaining buffer size and jump to proper folding method
+ CMP R4, $64
+ BLT less_than_64bytes
+
+fold_64bytes_loop:
+ // Load the next 64-byte data chunk into V5 to V8
+ VLM 0(R3), V5, V8
+ VPERM V5, V5, CONST_PERM_LE2BE, V5
+ VPERM V6, V6, CONST_PERM_LE2BE, V6
+ VPERM V7, V7, CONST_PERM_LE2BE, V7
+ VPERM V8, V8, CONST_PERM_LE2BE, V8
+
+
+ // Perform a GF(2) multiplication of the doublewords in V1 with
+ // the reduction constants in V0. The intermediate result is
+ // then folded (accumulated) with the next data chunk in V5 and
+ // stored in V1. Repeat this step for the register contents
+ // in V2, V3, and V4 respectively.
+
+ VGFMAG CONST_R2R1, V1, V5, V1
+ VGFMAG CONST_R2R1, V2, V6, V2
+ VGFMAG CONST_R2R1, V3, V7, V3
+ VGFMAG CONST_R2R1, V4, V8 ,V4
+
+ // Adjust buffer pointer and length for next loop
+ ADD $64, R3 // BUF = BUF + 64
+ ADD $(-64), R4 // LEN = LEN - 64
+
+ CMP R4, $64
+ BGE fold_64bytes_loop
+
+less_than_64bytes:
+ // Fold V1 to V4 into a single 128-bit value in V1
+ VGFMAG CONST_R4R3, V1, V2, V1
+ VGFMAG CONST_R4R3, V1, V3, V1
+ VGFMAG CONST_R4R3, V1, V4, V1
+
+ // Check whether to continue with 64-bit folding
+ CMP R4, $16
+ BLT final_fold
+
+fold_16bytes_loop:
+ VL 0(R3), V2 // Load next data chunk
+ VPERM V2, V2, CONST_PERM_LE2BE, V2
+
+ VGFMAG CONST_R4R3, V1, V2, V1 // Fold next data chunk
+
+ // Adjust buffer pointer and size for folding next data chunk
+ ADD $16, R3
+ ADD $-16, R4
+
+ // Process remaining data chunks
+ CMP R4 ,$16
+ BGE fold_16bytes_loop
+
+final_fold:
+ VLEIB $7, $0x40, V9
+ VSRLB V9, CONST_R4R3, V0
+ VLEIG $0, $1, V0
+
+ VGFMG V0, V1, V1
+
+ VLEIB $7, $0x20, V9 // Shift by words
+ VSRLB V9, V1, V2 // Store remaining bits in V2
+ VUPLLF V1, V1 // Split rightmost doubleword
+ VGFMAG CONST_R5, V1, V2, V1 // V1 = (V1 * R5) XOR V2
+
+
+ // The input values to the Barret reduction are the degree-63 polynomial
+ // in V1 (R(x)), degree-32 generator polynomial, and the reduction
+ // constant u. The Barret reduction result is the CRC value of R(x) mod
+ // P(x).
+ //
+ // The Barret reduction algorithm is defined as:
+ //
+ // 1. T1(x) = floor( R(x) / x^32 ) GF2MUL u
+ // 2. T2(x) = floor( T1(x) / x^32 ) GF2MUL P(x)
+ // 3. C(x) = R(x) XOR T2(x) mod x^32
+ //
+ // Note: To compensate the division by x^32, use the vector unpack
+ // instruction to move the leftmost word into the leftmost doubleword
+ // of the vector register. The rightmost doubleword is multiplied
+ // with zero to not contribute to the intermediate results.
+
+
+ // T1(x) = floor( R(x) / x^32 ) GF2MUL u
+ VUPLLF V1, V2
+ VGFMG CONST_RU_POLY, V2, V2
+
+
+ // Compute the GF(2) product of the CRC polynomial in VO with T1(x) in
+ // V2 and XOR the intermediate result, T2(x), with the value in V1.
+ // The final result is in the rightmost word of V2.
+
+ VUPLLF V2, V2
+ VGFMAG CONST_CRC_POLY, V2, V1, V2
+
+done:
+ VLGVF $2, V2, R2
+ XOR $0xffffffff, R2 // NOTW R2
+ MOVWZ R2, ret + 32(FP)
+ RET
+
+crash:
+ MOVD $0, (R0) // input size is less than 64-bytes