[API Implementation]: Expose general purpose Crc32 APIs

[deeprobin]

Proposal implementation of #2036 (closes #2036)

Proposed API

namespace System.Numerics
{
    public static class BitOperations
    {
        public static uint Crc32C(uint crc, byte data);
        public static uint Crc32C(uint crc, ushort data);
        public static uint Crc32C(uint crc, uint data);
        public static uint Crc32C(uint crc, ulong data);
    }
}

Current state of implementation

• Ref Assembly
• Documentation
• Implementation
  • Hardware Intrinsics
    • SSE 4.2
    • SSE 4.2 x64
    • ARM
    • ARM x64
  • Software Fallback
• Tests

Usage of Hardware Intrinsics

uint32_t __crc32b (uint32_t a, uint8_t b); // SSE 4.2
uint32_t __crc32cb (uint32_t a, uint8_t b); // ARM

unsigned int _mm_crc32_u16 (unsigned int crc, unsigned short v); // SSE 4.2
uint32_t __crc32ch (uint32_t a, uint16_t b); // ARM

unsigned int _mm_crc32_u32 (unsigned int crc, unsigned int v); // SSE 4.2
uint32_t __crc32ch (uint32_t a, uint32_t b); // ARM

unsigned __int64 _mm_crc32_u64 (unsigned __int64 crc, unsigned __int64 v); // SSE 4.2 x64
uint32_t __crc32cd (uint32_t a, uint64_t b); // ARM x64

Software Fallback

            foreach (byte b in bytes)
            {
                int tableIndex = (int)((crc ^ b) & 0xFF);
                crc = s_crcTable[tableIndex] ^ (crc >> 8);
            }

/cc @tannergooding

[dotnet-issue-labeler]

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Issue Details

---

Closes #2036

Proposed API

namespace System.Numerics
{
    public static class BitOperations
    {
        public static uint Crc32(uint crc, byte data);
        public static uint Crc32(uint crc, ushort data);
        public static uint Crc32(uint crc, uint data);
        public static uint Crc32(uint crc, ulong data);
    }
}

Current state of implementation

• Ref Assembly
• Implementation
• Tests

/cc @tannergooding

Author:	deeprobin
Assignees:	-
Labels:	area-System.Numerics, new-api-needs-documentation
Milestone:	-

[gfoidl]

Some note -- not for implementation of algorithm though.

[dakersnar]

Couple clarifying questions, but overall LGTM

[danmoseley]

Thank you for the contribution @deeprobin !

[dakersnar]

One of these tests seems to be failing on tvOS:
#76830
#76952

[deeprobin]

I don't think the test is the issue, I think the issue is the Crc32C implementation in clr. These were implemented previously (I think it was Tanner).

Tanner can you locate where and what the issue is?

/cc @tannergooding