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@ -4,151 +4,212 @@ |
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using System; |
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using System.Runtime.CompilerServices; |
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using System.Runtime.InteropServices; |
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#if SUPPORTS_RUNTIME_INTRINSICS
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using System.Runtime.Intrinsics; |
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using System.Runtime.Intrinsics.X86; |
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#endif
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namespace SixLabors.ImageSharp.Formats.Png.Zlib |
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{ |
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/// <summary>
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/// Generate a table for a byte-wise 32-bit CRC calculation on the polynomial:
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/// x^32+x^26+x^23+x^22+x^16+x^12+x^11+x^10+x^8+x^7+x^5+x^4+x^2+x+1.
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/// Calculates the 32 bit Cyclic Redundancy Check (CRC) checksum of a given buffer
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/// according to the IEEE 802.3 specification.
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/// </summary>
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/// <remarks>
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/// <para>
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/// Polynomials over GF(2) are represented in binary, one bit per coefficient,
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/// with the lowest powers in the most significant bit. Then adding polynomials
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/// is just exclusive-or, and multiplying a polynomial by x is a right shift by
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/// one. If we call the above polynomial p, and represent a byte as the
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/// polynomial q, also with the lowest power in the most significant bit (so the
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/// byte 0xb1 is the polynomial x^7+x^3+x+1), then the CRC is (q*x^32) mod p,
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/// where a mod b means the remainder after dividing a by b.
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/// </para>
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/// <para>
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/// This calculation is done using the shift-register method of multiplying and
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/// taking the remainder. The register is initialized to zero, and for each
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/// incoming bit, x^32 is added mod p to the register if the bit is a one (where
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/// x^32 mod p is p+x^32 = x^26+...+1), and the register is multiplied mod p by
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/// x (which is shifting right by one and adding x^32 mod p if the bit shifted
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/// out is a one). We start with the highest power (least significant bit) of
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/// q and repeat for all eight bits of q.
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/// </para>
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/// <para>
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/// The table is simply the CRC of all possible eight bit values. This is all
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/// the information needed to generate CRC's on data a byte at a time for all
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/// combinations of CRC register values and incoming bytes.
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/// </para>
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/// </remarks>
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internal sealed class Crc32 : IChecksum |
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internal static partial class Crc32 |
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{ |
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/// <summary>
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/// The cycle redundancy check seed
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/// The default initial seed value of a Crc32 checksum calculation.
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/// </summary>
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private const uint CrcSeed = 0xFFFFFFFF; |
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public const uint SeedValue = 0U; |
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/// <summary>
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/// The table of all possible eight bit values for fast lookup.
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/// </summary>
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private static readonly uint[] CrcTable = |
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#if SUPPORTS_RUNTIME_INTRINSICS
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private const int MinBufferSize = 64; |
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private const int ChunksizeMask = 15; |
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// Definitions of the bit-reflected domain constants k1, k2, k3, etc and
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// the CRC32+Barrett polynomials given at the end of the paper.
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private static readonly ulong[] K05Poly = |
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{ |
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0x00000000, 0x77073096, 0xEE0E612C, 0x990951BA, 0x076DC419, |
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0x706AF48F, 0xE963A535, 0x9E6495A3, 0x0EDB8832, 0x79DCB8A4, |
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0xE0D5E91E, 0x97D2D988, 0x09B64C2B, 0x7EB17CBD, 0xE7B82D07, |
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0x90BF1D91, 0x1DB71064, 0x6AB020F2, 0xF3B97148, 0x84BE41DE, |
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0x1ADAD47D, 0x6DDDE4EB, 0xF4D4B551, 0x83D385C7, 0x136C9856, |
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0x646BA8C0, 0xFD62F97A, 0x8A65C9EC, 0x14015C4F, 0x63066CD9, |
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0xFA0F3D63, 0x8D080DF5, 0x3B6E20C8, 0x4C69105E, 0xD56041E4, |
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0xA2677172, 0x3C03E4D1, 0x4B04D447, 0xD20D85FD, 0xA50AB56B, |
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0x35B5A8FA, 0x42B2986C, 0xDBBBC9D6, 0xACBCF940, 0x32D86CE3, |
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0x45DF5C75, 0xDCD60DCF, 0xABD13D59, 0x26D930AC, 0x51DE003A, |
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0xC8D75180, 0xBFD06116, 0x21B4F4B5, 0x56B3C423, 0xCFBA9599, |
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0xB8BDA50F, 0x2802B89E, 0x5F058808, 0xC60CD9B2, 0xB10BE924, |
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0x2F6F7C87, 0x58684C11, 0xC1611DAB, 0xB6662D3D, 0x76DC4190, |
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0x01DB7106, 0x98D220BC, 0xEFD5102A, 0x71B18589, 0x06B6B51F, |
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0x9FBFE4A5, 0xE8B8D433, 0x7807C9A2, 0x0F00F934, 0x9609A88E, |
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0xE10E9818, 0x7F6A0DBB, 0x086D3D2D, 0x91646C97, 0xE6635C01, |
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0x6B6B51F4, 0x1C6C6162, 0x856530D8, 0xF262004E, 0x6C0695ED, |
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0x1B01A57B, 0x8208F4C1, 0xF50FC457, 0x65B0D9C6, 0x12B7E950, |
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0x8BBEB8EA, 0xFCB9887C, 0x62DD1DDF, 0x15DA2D49, 0x8CD37CF3, |
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0xFBD44C65, 0x4DB26158, 0x3AB551CE, 0xA3BC0074, 0xD4BB30E2, |
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0x4ADFA541, 0x3DD895D7, 0xA4D1C46D, 0xD3D6F4FB, 0x4369E96A, |
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0x346ED9FC, 0xAD678846, 0xDA60B8D0, 0x44042D73, 0x33031DE5, |
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0xAA0A4C5F, 0xDD0D7CC9, 0x5005713C, 0x270241AA, 0xBE0B1010, |
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0xC90C2086, 0x5768B525, 0x206F85B3, 0xB966D409, 0xCE61E49F, |
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0x5EDEF90E, 0x29D9C998, 0xB0D09822, 0xC7D7A8B4, 0x59B33D17, |
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0x2EB40D81, 0xB7BD5C3B, 0xC0BA6CAD, 0xEDB88320, 0x9ABFB3B6, |
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0x03B6E20C, 0x74B1D29A, 0xEAD54739, 0x9DD277AF, 0x04DB2615, |
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0x73DC1683, 0xE3630B12, 0x94643B84, 0x0D6D6A3E, 0x7A6A5AA8, |
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0xE40ECF0B, 0x9309FF9D, 0x0A00AE27, 0x7D079EB1, 0xF00F9344, |
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0x8708A3D2, 0x1E01F268, 0x6906C2FE, 0xF762575D, 0x806567CB, |
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0x196C3671, 0x6E6B06E7, 0xFED41B76, 0x89D32BE0, 0x10DA7A5A, |
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0x67DD4ACC, 0xF9B9DF6F, 0x8EBEEFF9, 0x17B7BE43, 0x60B08ED5, |
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0xD6D6A3E8, 0xA1D1937E, 0x38D8C2C4, 0x4FDFF252, 0xD1BB67F1, |
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0xA6BC5767, 0x3FB506DD, 0x48B2364B, 0xD80D2BDA, 0xAF0A1B4C, |
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0x36034AF6, 0x41047A60, 0xDF60EFC3, 0xA867DF55, 0x316E8EEF, |
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0x4669BE79, 0xCB61B38C, 0xBC66831A, 0x256FD2A0, 0x5268E236, |
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0xCC0C7795, 0xBB0B4703, 0x220216B9, 0x5505262F, 0xC5BA3BBE, |
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0xB2BD0B28, 0x2BB45A92, 0x5CB36A04, 0xC2D7FFA7, 0xB5D0CF31, |
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0x2CD99E8B, 0x5BDEAE1D, 0x9B64C2B0, 0xEC63F226, 0x756AA39C, |
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0x026D930A, 0x9C0906A9, 0xEB0E363F, 0x72076785, 0x05005713, |
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0x95BF4A82, 0xE2B87A14, 0x7BB12BAE, 0x0CB61B38, 0x92D28E9B, |
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0xE5D5BE0D, 0x7CDCEFB7, 0x0BDBDF21, 0x86D3D2D4, 0xF1D4E242, |
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0x68DDB3F8, 0x1FDA836E, 0x81BE16CD, 0xF6B9265B, 0x6FB077E1, |
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0x18B74777, 0x88085AE6, 0xFF0F6A70, 0x66063BCA, 0x11010B5C, |
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0x8F659EFF, 0xF862AE69, 0x616BFFD3, 0x166CCF45, 0xA00AE278, |
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0xD70DD2EE, 0x4E048354, 0x3903B3C2, 0xA7672661, 0xD06016F7, |
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0x4969474D, 0x3E6E77DB, 0xAED16A4A, 0xD9D65ADC, 0x40DF0B66, |
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0x37D83BF0, 0xA9BCAE53, 0xDEBB9EC5, 0x47B2CF7F, 0x30B5FFE9, |
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0xBDBDF21C, 0xCABAC28A, 0x53B39330, 0x24B4A3A6, 0xBAD03605, |
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0xCDD70693, 0x54DE5729, 0x23D967BF, 0xB3667A2E, 0xC4614AB8, |
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0x5D681B02, 0x2A6F2B94, 0xB40BBE37, 0xC30C8EA1, 0x5A05DF1B, |
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0x2D02EF8D |
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0x0154442bd4, 0x01c6e41596, // k1, k2
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0x01751997d0, 0x00ccaa009e, // k3, k4
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0x0163cd6124, 0x0000000000, // k5, k0
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0x01db710641, 0x01f7011641 // polynomial
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}; |
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#endif
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/// <summary>
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/// The data checksum so far.
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/// Calculates the CRC checksum with the bytes taken from the span.
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/// </summary>
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private uint crc; |
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/// <param name="buffer">The readonly span of bytes.</param>
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/// <returns>The <see cref="uint"/>.</returns>
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[MethodImpl(InliningOptions.ShortMethod)] |
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public static uint Calculate(ReadOnlySpan<byte> buffer) |
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=> Calculate(SeedValue, buffer); |
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/// <inheritdoc/>
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public long Value |
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/// <summary>
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/// Calculates the CRC checksum with the bytes taken from the span and seed.
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/// </summary>
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/// <param name="crc">The input CRC value.</param>
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/// <param name="buffer">The readonly span of bytes.</param>
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/// <returns>The <see cref="uint"/>.</returns>
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[MethodImpl(InliningOptions.ShortMethod)] |
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public static uint Calculate(uint crc, ReadOnlySpan<byte> buffer) |
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{ |
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[MethodImpl(MethodImplOptions.AggressiveInlining)] |
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get => this.crc; |
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if (buffer.IsEmpty) |
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{ |
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return SeedValue; |
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} |
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[MethodImpl(MethodImplOptions.AggressiveInlining)] |
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set => this.crc = (uint)value; |
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#if SUPPORTS_RUNTIME_INTRINSICS
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if (Sse41.IsSupported && Pclmulqdq.IsSupported && buffer.Length >= MinBufferSize) |
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{ |
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return ~CalculateSse(~crc, buffer); |
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} |
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else |
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{ |
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return ~CalculateScalar(~crc, buffer); |
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} |
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#else
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return ~CalculateScalar(~crc, buffer); |
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#endif
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} |
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/// <inheritdoc/>
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[MethodImpl(MethodImplOptions.AggressiveInlining)] |
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public void Reset() |
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#if SUPPORTS_RUNTIME_INTRINSICS
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// Based on https://github.com/chromium/chromium/blob/master/third_party/zlib/crc32_simd.c
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[MethodImpl(InliningOptions.HotPath | InliningOptions.ShortMethod)] |
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private static unsafe uint CalculateSse(uint crc, ReadOnlySpan<byte> buffer) |
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{ |
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this.crc = 0; |
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} |
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int chunksize = buffer.Length & ~ChunksizeMask; |
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int length = chunksize; |
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/// <summary>
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/// Updates the checksum with the given value.
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/// </summary>
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/// <param name="value">The byte is taken as the lower 8 bits of value.</param>
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[MethodImpl(MethodImplOptions.AggressiveInlining)] |
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public void Update(int value) |
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{ |
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this.crc ^= CrcSeed; |
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this.crc = CrcTable[(this.crc ^ value) & 0xFF] ^ (this.crc >> 8); |
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this.crc ^= CrcSeed; |
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fixed (byte* bufferPtr = buffer) |
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fixed (ulong* k05PolyPtr = K05Poly) |
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{ |
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byte* localBufferPtr = bufferPtr; |
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ulong* localK05PolyPtr = k05PolyPtr; |
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// There's at least one block of 64.
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Vector128<ulong> x1 = Sse2.LoadVector128((ulong*)(localBufferPtr + 0x00)); |
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Vector128<ulong> x2 = Sse2.LoadVector128((ulong*)(localBufferPtr + 0x10)); |
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Vector128<ulong> x3 = Sse2.LoadVector128((ulong*)(localBufferPtr + 0x20)); |
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Vector128<ulong> x4 = Sse2.LoadVector128((ulong*)(localBufferPtr + 0x30)); |
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Vector128<ulong> x5; |
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x1 = Sse2.Xor(x1, Sse2.ConvertScalarToVector128UInt32(crc).AsUInt64()); |
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// k1, k2
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Vector128<ulong> x0 = Sse2.LoadVector128(localK05PolyPtr + 0x0); |
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localBufferPtr += 64; |
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length -= 64; |
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// Parallel fold blocks of 64, if any.
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while (length >= 64) |
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{ |
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x5 = Pclmulqdq.CarrylessMultiply(x1, x0, 0x00); |
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Vector128<ulong> x6 = Pclmulqdq.CarrylessMultiply(x2, x0, 0x00); |
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Vector128<ulong> x7 = Pclmulqdq.CarrylessMultiply(x3, x0, 0x00); |
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Vector128<ulong> x8 = Pclmulqdq.CarrylessMultiply(x4, x0, 0x00); |
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x1 = Pclmulqdq.CarrylessMultiply(x1, x0, 0x11); |
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x2 = Pclmulqdq.CarrylessMultiply(x2, x0, 0x11); |
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x3 = Pclmulqdq.CarrylessMultiply(x3, x0, 0x11); |
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x4 = Pclmulqdq.CarrylessMultiply(x4, x0, 0x11); |
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Vector128<ulong> y5 = Sse2.LoadVector128((ulong*)(localBufferPtr + 0x00)); |
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Vector128<ulong> y6 = Sse2.LoadVector128((ulong*)(localBufferPtr + 0x10)); |
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Vector128<ulong> y7 = Sse2.LoadVector128((ulong*)(localBufferPtr + 0x20)); |
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Vector128<ulong> y8 = Sse2.LoadVector128((ulong*)(localBufferPtr + 0x30)); |
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x1 = Sse2.Xor(x1, x5); |
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x2 = Sse2.Xor(x2, x6); |
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x3 = Sse2.Xor(x3, x7); |
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x4 = Sse2.Xor(x4, x8); |
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x1 = Sse2.Xor(x1, y5); |
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x2 = Sse2.Xor(x2, y6); |
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x3 = Sse2.Xor(x3, y7); |
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x4 = Sse2.Xor(x4, y8); |
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localBufferPtr += 64; |
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length -= 64; |
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} |
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// Fold into 128-bits.
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// k3, k4
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x0 = Sse2.LoadVector128(k05PolyPtr + 0x2); |
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x5 = Pclmulqdq.CarrylessMultiply(x1, x0, 0x00); |
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x1 = Pclmulqdq.CarrylessMultiply(x1, x0, 0x11); |
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x1 = Sse2.Xor(x1, x2); |
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x1 = Sse2.Xor(x1, x5); |
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x5 = Pclmulqdq.CarrylessMultiply(x1, x0, 0x00); |
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x1 = Pclmulqdq.CarrylessMultiply(x1, x0, 0x11); |
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x1 = Sse2.Xor(x1, x3); |
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x1 = Sse2.Xor(x1, x5); |
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x5 = Pclmulqdq.CarrylessMultiply(x1, x0, 0x00); |
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x1 = Pclmulqdq.CarrylessMultiply(x1, x0, 0x11); |
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x1 = Sse2.Xor(x1, x4); |
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x1 = Sse2.Xor(x1, x5); |
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// Single fold blocks of 16, if any.
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while (length >= 16) |
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{ |
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x2 = Sse2.LoadVector128((ulong*)localBufferPtr); |
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x5 = Pclmulqdq.CarrylessMultiply(x1, x0, 0x00); |
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x1 = Pclmulqdq.CarrylessMultiply(x1, x0, 0x11); |
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x1 = Sse2.Xor(x1, x2); |
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x1 = Sse2.Xor(x1, x5); |
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localBufferPtr += 16; |
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length -= 16; |
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} |
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// Fold 128 - bits to 64 - bits.
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x2 = Pclmulqdq.CarrylessMultiply(x1, x0, 0x10); |
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x3 = Vector128.Create(~0, 0, ~0, 0).AsUInt64(); // _mm_setr_epi32 on x86
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x1 = Sse2.ShiftRightLogical128BitLane(x1, 8); |
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x1 = Sse2.Xor(x1, x2); |
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// k5, k0
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x0 = Sse2.LoadScalarVector128(localK05PolyPtr + 0x4); |
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x2 = Sse2.ShiftRightLogical128BitLane(x1, 4); |
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x1 = Sse2.And(x1, x3); |
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x1 = Pclmulqdq.CarrylessMultiply(x1, x0, 0x00); |
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x1 = Sse2.Xor(x1, x2); |
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// Barret reduce to 32-bits.
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// polynomial
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x0 = Sse2.LoadVector128(localK05PolyPtr + 0x6); |
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x2 = Sse2.And(x1, x3); |
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x2 = Pclmulqdq.CarrylessMultiply(x2, x0, 0x10); |
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x2 = Sse2.And(x2, x3); |
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x2 = Pclmulqdq.CarrylessMultiply(x2, x0, 0x00); |
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x1 = Sse2.Xor(x1, x2); |
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|
|
|
|
|
|
crc = (uint)Sse41.Extract(x1.AsInt32(), 1); |
|
|
|
return buffer.Length - chunksize == 0 ? crc : CalculateScalar(crc, buffer.Slice(chunksize)); |
|
|
|
} |
|
|
|
} |
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|
|
#endif
|
|
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|
|
/// <inheritdoc/>
|
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|
|
[MethodImpl(MethodImplOptions.AggressiveInlining)] |
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|
|
public void Update(ReadOnlySpan<byte> data) |
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|
[MethodImpl(InliningOptions.HotPath | InliningOptions.ShortMethod)] |
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|
|
private static uint CalculateScalar(uint crc, ReadOnlySpan<byte> buffer) |
|
|
|
{ |
|
|
|
this.crc ^= CrcSeed; |
|
|
|
|
|
|
|
ref uint crcTableRef = ref MemoryMarshal.GetReference(CrcTable.AsSpan()); |
|
|
|
for (int i = 0; i < data.Length; i++) |
|
|
|
ref byte bufferRef = ref MemoryMarshal.GetReference(buffer); |
|
|
|
|
|
|
|
for (int i = 0; i < buffer.Length; i++) |
|
|
|
{ |
|
|
|
this.crc = Unsafe.Add(ref crcTableRef, (int)((this.crc ^ data[i]) & 0xFF)) ^ (this.crc >> 8); |
|
|
|
crc = Unsafe.Add(ref crcTableRef, (int)((crc ^ Unsafe.Add(ref bufferRef, i)) & 0xFF)) ^ (crc >> 8); |
|
|
|
} |
|
|
|
|
|
|
|
this.crc ^= CrcSeed; |
|
|
|
return crc; |
|
|
|
} |
|
|
|
} |
|
|
|
} |
|
|
|
|