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Välkommen till en GPU-beräkning!

Praktiken att beräkna hashar på grafikkort, även känd som GPU (Graphics Processing Unit) hashing eller GPU-brytning, blev populär i och med uppkomsten av kryptovalutor, särskilt Bitcoin. Bitcoin-brytning innebär att lösa komplexa matematiska problem för att validera transaktioner och säkra nätverket. Från början utfördes Bitcoin-brytning på centrala bearbetningsenheter (CPUs), men eftersom svårighetsgraden för brytning ökade blev CPU:erna ineffektiva och ersattes av GPU:er.

Människor började beräkna hashar på grafikkort runt 2010 för att bryta kryptovalutor som Bitcoin mer effektivt. Grafikkort, eller GPUer, är högt parallella processorer som kan utföra många beräkningar samtidigt, vilket gör dem idealiska för den beräkningsintensiva naturen hos brytning. Att använda GPUer tillät gruvarbetare att bearbeta fler hashberäkningar per sekund, vilket ökade deras chanser att tjäna brytningsbelöningar.

Användningen av GPU:er sträcker sig bortom deras förmåga till parallellbearbetning. Dessa kraftfulla databehandlingsenheter har en distinkt kombination av egenskaper som gör dem mycket skickliga på att utföra specifika uppgifter mer effektivt än CPU:er:

  • Parallelism: CPU:er, begränsade i sina kärnor, engagerar sig i multitasking. I kontrast till detta orkestrerar GPU:er, med sin mängd smidiga kärnor, en stor symfoni av parallell bearbetning, vilket möjliggör samtidigt utförande av ett brett spektrum av uppgifter med finess.

  • Specialisering: GPU:er är arkitektoniskt optimerade för specifika uppgifter, med vissa modeller som har specialiserade komponenter som tensor-kärnor för maskininlärning eller ray-tracing-enheter för realistisk rendering. Dessa ändamålsenliga konstruktioner erbjuder märkbara prestandafördelar jämfört med allmänna CPU:er.

  • Lastbalansering: Genom att delegera beräkningsintensiva uppgifter till GPU:er kan CPU:er fokusera på sina styrkor, så som att hantera systemprocesser och användarinmatning. Denna harmoniska arbetsdelning resulterar i ett mer responsivt och effektivt övergripande system.

  • Energieffektivitet: GPU:er utmärker sig i uppgifter som passar deras design, och uppnår ett högre antal beräkningar per watt jämfört med CPU:er. Denna energieffektivitet är särskilt värdefull i miljöer som storskaliga datacenter eller anläggningar för högpresterande databehandling där energiförbrukning är ett framträdande bekymmer.

  • Datahantering: Med förbättrad minnesbandbredd hanterar GPU:er skickligt större datamängder och erbjuder fördelar i uppgifter som bildbehandling, simuleringar och omfattande dataanalys.

  • Datalokalisering: GPU:er har dedikerat minne (VRAM), vilket främjar förbättrad datalokalisering och minskad latens. Detta dedikerade minne förbättrar prestanda i specifika beräkningar.

  • Mjukvarubibliotek: Utvecklare kan utnyttja optimerade mjukvarubibliotek och ramverk som CUDA för allmän GPU-databehandling, cuDNN för djupinlärning och OpenCL för heterogen databehandling, vilket möjliggör sömlös användning av GPU-kraft.

  • Heterogen databehandling: Delegering av uppgifter till GPU:er underlättar en sömlös integration av CPU- och GPU-kapaciteter, vilket resulterar i mer effektiva och högpresterande system.

  • Skalbarhet: För uppgifter som får betydande prestandavinster från GPU:er, såsom maskininlärning eller simuleringar, kan utvidgning av GPU-kapaciteter vara mer kostnadseffektivt och skalbart än att öka antalet CPU-kärnor.

 

Förbereda miljön

Steg 1: Installera Visual Studio

  1. Om du inte redan har gjort det, ladda ner och installera Visual Studio från den officiella Visual Studio-webbplatsen (https://visualstudio.microsoft.com/).

  2. Se till att installera arbetsbelastningen "Desktop development with C++" under installationen av Visual Studio, eftersom CUDA-utveckling kräver utvecklingsverktyg för C++.

Steg 2: Installera CUDA Toolkit

  1. Gå till NVIDIA CUDA-webbplatsen (https://developer.nvidia.com/cuda-toolkit) och ladda ner den senaste versionen av CUDA Toolkit som är kompatibel med ditt GPU och operativsystem.

  2. Kör installationsprogrammet för CUDA Toolkit och följ instruktionerna på skärmen för att installera CUDA Toolkit på ditt system.

Steg 3: Konfigurera Visual Studio för CUDA

  1. Öppna Visual Studio och gå till "Extensions" > "Manage Extensions".

  2. Sök efter "CUDA" i dialogrutan Extensions and Updates och installera tillägget "NVIDIA CUDA Toolkit".

  3. Starta om Visual Studio efter att tillägget har installerats.

  4. Efter omstarten, gå till "CUDA" > "NVIDIA Nsight" > "Options" i Visual Studio-menyn för att öppna sidan för "NVIDIA Nsight"-inställningar.

  5. I fliken "CUDA", ange sökvägen till installationsmappen för CUDA Toolkit som du installerade i steg 2.

  6. Klicka på "OK" för att spara inställningarna.

Steg 4: Skapa ett CUDA-projekt

  1. I Visual Studio, gå till "File" > "New" > "Project" för att skapa ett nytt projekt.

  2. Välj "CUDA" under "Installed" > "Templates" > "Visual C++" > "NVIDIA" i dialogrutan för Nya Projekt.

  3. Välj en CUDA-projektmall, som "CUDA Runtime Project" eller "CUDA Driver Project", och klicka på "Next".

  4. Ange projektnamn, plats och andra inställningar som önskat, och klicka på "Create" för att skapa CUDA-projektet.

Steg 5: Skriv och kör CUDA-kod

1. I CUDA-projektet kan du skriva CUDA-kod i ".cu"-källfiler, som kan kompileras och köras på GPU:n.

2. För att bygga och köra CUDA-projektet, välj önskad konfiguration (t.ex. "Debug" eller "Release") och klicka på knappen "Local Windows Debugger" i verktygsfältet i Visual Studio.

3. Visual Studio kommer att bygga och köra CUDA-projektet, och du kan visa utmatningen och felsöka CUDA-koden med hjälp av Visual Studios felsökare.

Steg 6. Konfigurera CUDA-felsökaren

  1. Öppna Visual Studio: Starta Visual Studio på ditt system.

  2. Skapa ett nytt CUDA-projekt eller öppna ett befintligt: Skapa antingen ett nytt projekt genom att välja "File" -> "New" -> "Project" -> "CUDA" i Visual Studio eller öppna ett befintligt CUDA-projekt.

  3. Ställ in projektegenskaper: Högerklicka på ditt CUDA-projekt i Solution Explorer och välj "Properties" från kontextmenyn.

  4. Välj konfigurationen Debug: I fönstret för projektegenskaper, navigera till sektionen "Configuration Properties" och välj konfigurationen "Debug".

  5. Konfigurera inställningarna för CUDA Debugger:

    • Se till att fliken "CUDA Debugger" är vald i det vänstra fönstret.

    • I rullgardinsmenyn "Debugger Type" välj "NVIDIA CUDA Debugger".

    • Kontrollera att "Debugger Path" pekar på den korrekta platsen för den körbara CUDA-debuggern (t.ex. "C:\Program Files\NVIDIA GPU Computing Toolkit\CUDA\vX.Y\extras\Visual Studio Integration\cuda_debugger.exe"). Justera vägen vid behov, baserat på din installationskatalog och version av CUDA Toolkit.

  6. Sätt breakpoints och starta felsökning: Placera breakpoints i din CUDA-kod där du vill att debuggern ska stanna. Tryck sedan på F5 eller välj "Debug" -> "Start Debugging" för att starta CUDA-debuggern och börja felsöka ditt CUDA-projekt.

  7. Felsökningsprocess:

    • Debuggern kommer att stanna vid de breakpoints du satt i din CUDA-kod, vilket gör det möjligt för dig att inspektera variabler, stega igenom koden och analysera programmets beteende.

    • Du kan använda de olika felsökningsfunktionerna som tillhandahålls av Visual Studio, såsom att stega över rader, stega in i funktioner, inspektera variabler och visa anropsstackar.

Observera: Se till att du har installerat rätt version av CUDA Toolkit och att din GPU stöder felsökning. Kontrollera också att du har de nödvändiga CUDA-projektinställningarna och konfigurationerna korrekt inställda för felsökning.

 

Uppvärmning: GPU-baserad parallell CRC32

/*
* FUNCTION: __device__ __host__ uint32_t crc32
*
* ARGS:
* const uint8_t* buffer - Input buffer containing data for CRC32 calculation.
* int size - Size of the input buffer.
*
* DESCRIPTION:
* This function calculates the CRC32 checksum for a given input buffer on both CPU and GPU
* devices.
* The CRC32 calculation algorithm used is the standard CRC32 polynomial with initial value of
* 0xFFFFFFFF and final XOR of 0xFFFFFFFF.
* The function iterates through each byte in the input buffer using a for loop, performing bitwise XOR
* and shift operations to calculate the CRC32 value.
* The calculated CRC32 value is then bitwise negated (~crc) and returned as the final result.
*
* RETURN VALUE:
* uint32_t - The calculated CRC32 checksum for the input buffer.
* This function returns a 32-bit unsigned integer representing the CRC32 checksum value.
*/
__device__ __host__ uint32_t crc32(const uint8_t* buffer, int size)
{
   	uint32_t crc = 0xFFFFFFFF;
    	for (int i = 0; i < size; ++i)
    	{
        	crc ^= buffer[i];
        		for (int j = 0; j < 8; ++j)
            		crc = (crc >> 1) ^ (0xEDB88320 & (-(crc & 1)));
    	}
    	return ~crc;
}

/*
* FUNCTION: __global__ void crc32Kernel
*
* ARGS:
* In uint8_t* buffers - Input buffer containing data for CRC32 calculation.
* Out uint32_t* crcResults - Output buffer to store CRC32 results.
* int numBuffers - Number of input buffers.
* int bufferSize - Size of each input buffer.
*
* DESCRIPTION:
* This is a CUDA kernel function for calculating CRC32 checksums in parallel on a GPU device.
* Each thread in the GPU grid corresponds to a unique thread identifier (tid) calculated from blockIdx.x and blockDim.x.
* The bufferIndex is calculated based on tid and bufferSize to determine the starting index of the current buffer to be processed.
* The function performs CRC32 calculation on each buffer by iterating through each byte in the buffer using a for loop.
* The calculated CRC32 value is then saved to the crcResults array at the corresponding tid index.
*
* RETURN VALUE: void
* This function does not return a value.
*/
__global__ void crc32Kernel(_In_ const uint8_t* buffers, _Out_ uint32_t* crcResults, int numBuffers, int bufferSize)
{
    	/* Calculate unique thread identifier */
    	int tid = blockIdx.x * blockDim.x + threadIdx.x;
    	/* Calculate index of the current buffer */
    	int bufferIndex = tid * bufferSize;

    	/* Check if buffer index is within valid range */
    	if (bufferIndex < numBuffers * bufferSize)
        	/* Call crc32 function to calculate CRC32 for the current buffer */
        	crcResults[tid] = crc32(buffers + bufferIndex, bufferSize);
}

/*
* FUNCTION: std::vector< uint32_t > testCRC32CPU
*
* ARGS:
* std::vector< std::vector< uint8_t >> const& buffers - A vector of input buffers to calculate CRC32 checksums.
*
* DESCRIPTION:
* This function calculates the CRC32 checksum for buffers of random data on the GPU using CUDA.
* It dynamically аllocates memory on the device (GPU) for the buffers and CRC32 results.
* The function launches a CUDA kernel on the device to calculate the CRC32 checksum for each buffer in parallel.
* It then copies the results back from the device to the host and frees the allocated memory.
*
* RETURN VALUE: std::vector
* CRC32 checksums for each buffer in the input vector on the GPU.
*/

std::vector< uint32_t > testCRC32GPU(std::vector< std::vector< uint8_t >> const& buffers)
{
    	const int numBuffers = buffers.size();
    	const int bufferSize = buffers[0].size();

    	/* Dynamic memory allocation on the device */
    	unsigned char* d_buffers;
    	uint32_t* d_crcResults;
    	cudaMalloc(reinterpret_cast< void** >(&d_buffers), numBuffers * bufferSize * sizeof(unsigned char));
    	cudaMalloc(reinterpret_cast< void** >(&d_crcResults), numBuffers * sizeof(uint32_t));

    	/* Copy data from host to device using cudaMemcpy2D */
    	for (int i = 0; i < numBuffers; ++i)
        	cudaMemcpy(d_buffers + i * bufferSize, buffers[i].data(), bufferSize * sizeof(unsigned char), cudaMemcpyHostToDevice);

    	/* Calculate number of blocks and threads per block for the kernel launch */
    	const int blockSize = 256;
    	const int numBlocks = (numBuffers + blockSize - 1) / blockSize;

    	/* Launch the kernel on the device indicating the number of blocks(numBlocks) and block size(blockSize) that will be used for parallel execution of calculations on the GPU. */
    	crc32::crc32Kernel << < numBlocks, blockSize >> > (d_buffers, d_crcResults, numBuffers, bufferSize);

    	/* Copy results from device to host directly into a vector without intermediate buffer */
    	std::vector< uint32_t > checksums(numBuffers);
    	cudaMemcpy(checksums.data(), d_crcResults, numBuffers * sizeof(uint32_t), cudaMemcpyDeviceToHost);

    	/* Free device memory */
    	cudaFree(d_buffers);
    	cudaFree(d_crcResults);
    	/* Return the CRC32 checksums as a vector */
    	return checksums;
}

 

Träning: GPU-baserad parallell SHA512!

__device__ static const uint64_t K[80] = {
   UINT64_C(0x428a2f98d728ae22), UINT64_C(0x7137449123ef65cd),
   UINT64_C(0xb5c0fbcfec4d3b2f), UINT64_C(0xe9b5dba58189dbbc),
   UINT64_C(0x3956c25bf348b538), UINT64_C(0x59f111f1b605d019),
   UINT64_C(0x923f82a4af194f9b), UINT64_C(0xab1c5ed5da6d8118),
   UINT64_C(0xd807aa98a3030242), UINT64_C(0x12835b0145706fbe),
   UINT64_C(0x243185be4ee4b28c), UINT64_C(0x550c7dc3d5ffb4e2),
   UINT64_C(0x72be5d74f27b896f), UINT64_C(0x80deb1fe3b1696b1),
   UINT64_C(0x9bdc06a725c71235), UINT64_C(0xc19bf174cf692694),
   UINT64_C(0xe49b69c19ef14ad2), UINT64_C(0xefbe4786384f25e3),
   UINT64_C(0x0fc19dc68b8cd5b5), UINT64_C(0x240ca1cc77ac9c65),
   UINT64_C(0x2de92c6f592b0275), UINT64_C(0x4a7484aa6ea6e483),
   UINT64_C(0x5cb0a9dcbd41fbd4), UINT64_C(0x76f988da831153b5),
   UINT64_C(0x983e5152ee66dfab), UINT64_C(0xa831c66d2db43210),
   UINT64_C(0xb00327c898fb213f), UINT64_C(0xbf597fc7beef0ee4),
   UINT64_C(0xc6e00bf33da88fc2), UINT64_C(0xd5a79147930aa725),
   UINT64_C(0x06ca6351e003826f), UINT64_C(0x142929670a0e6e70),
   UINT64_C(0x27b70a8546d22ffc), UINT64_C(0x2e1b21385c26c926),
   UINT64_C(0x4d2c6dfc5ac42aed), UINT64_C(0x53380d139d95b3df),
   UINT64_C(0x650a73548baf63de), UINT64_C(0x766a0abb3c77b2a8),
   UINT64_C(0x81c2c92e47edaee6), UINT64_C(0x92722c851482353b),
   UINT64_C(0xa2bfe8a14cf10364), UINT64_C(0xa81a664bbc423001),
   UINT64_C(0xc24b8b70d0f89791), UINT64_C(0xc76c51a30654be30),
   UINT64_C(0xd192e819d6ef5218), UINT64_C(0xd69906245565a910),
   UINT64_C(0xf40e35855771202a), UINT64_C(0x106aa07032bbd1b8),
   UINT64_C(0x19a4c116b8d2d0c8), UINT64_C(0x1e376c085141ab53),
   UINT64_C(0x2748774cdf8eeb99), UINT64_C(0x34b0bcb5e19b48a8),
   UINT64_C(0x391c0cb3c5c95a63), UINT64_C(0x4ed8aa4ae3418acb),
   UINT64_C(0x5b9cca4f7763e373), UINT64_C(0x682e6ff3d6b2b8a3),
   UINT64_C(0x748f82ee5defb2fc), UINT64_C(0x78a5636f43172f60),
   UINT64_C(0x84c87814a1f0ab72), UINT64_C(0x8cc702081a6439ec),
   UINT64_C(0x90befffa23631e28), UINT64_C(0xa4506cebde82bde9),
   UINT64_C(0xbef9a3f7b2c67915), UINT64_C(0xc67178f2e372532b),
   UINT64_C(0xca273eceea26619c), UINT64_C(0xd186b8c721c0c207),
   UINT64_C(0xeada7dd6cde0eb1e), UINT64_C(0xf57d4f7fee6ed178),
   UINT64_C(0x06f067aa72176fba), UINT64_C(0x0a637dc5a2c898a6),
   UINT64_C(0x113f9804bef90dae), UINT64_C(0x1b710b35131c471b),
   UINT64_C(0x28db77f523047d84), UINT64_C(0x32caab7b40c72493),
   UINT64_C(0x3c9ebe0a15c9bebc), UINT64_C(0x431d67c49c100d4c),
   UINT64_C(0x4cc5d4becb3e42b6), UINT64_C(0x597f299cfc657e2a),
   UINT64_C(0x5fcb6fab3ad6faec), UINT64_C(0x6c44198c4a475817)
};

    /* Various logical functions for calculating sha-512 hash on GPU */

#define ROR64c(x, y) \
    ( ((((x)&UINT64_C(0xFFFFFFFFFFFFFFFF))>>((uint64_t)(y)&UINT64_C(63))) | \
      ((x)<<((uint64_t)(64-((y)&UINT64_C(63)))))) & UINT64_C(0xFFFFFFFFFFFFFFFF))

#define STORE64H(x, y)                                                                     \
   { (y)[0] = (unsigned char)(((x)>>56)&255); (y)[1] = (unsigned char)(((x)>>48)&255);     \
     (y)[2] = (unsigned char)(((x)>>40)&255); (y)[3] = (unsigned char)(((x)>>32)&255);     \
     (y)[4] = (unsigned char)(((x)>>24)&255); (y)[5] = (unsigned char)(((x)>>16)&255);     \
     (y)[6] = (unsigned char)(((x)>>8)&255); (y)[7] = (unsigned char)((x)&255); }

#define LOAD64H(x, y)                                                      \
   { x = (((uint64_t)((y)[0] & 255))<<56)|(((uint64_t)((y)[1] & 255))<<48) | \
         (((uint64_t)((y)[2] & 255))<<40)|(((uint64_t)((y)[3] & 255))<<32) | \
         (((uint64_t)((y)[4] & 255))<<24)|(((uint64_t)((y)[5] & 255))<<16) | \
         (((uint64_t)((y)[6] & 255))<<8)|(((uint64_t)((y)[7] & 255))); }


#define Ch(x,y,z)       (z ^ (x & (y ^ z)))
#define Maj(x,y,z)      (((x | y) & z) | (x & y))
#define S(x, n)         ROR64c(x, n)
#define R(x, n)         (((x) &UINT64_C(0xFFFFFFFFFFFFFFFF))>>((uint64_t)n))
#define Sigma0(x)       (S(x, 28) ^ S(x, 34) ^ S(x, 39))
#define Sigma1(x)       (S(x, 14) ^ S(x, 18) ^ S(x, 41))
#define Gamma0(x)       (S(x, 1) ^ S(x, 8) ^ R(x, 7))
#define Gamma1(x)       (S(x, 19) ^ S(x, 61) ^ R(x, 6))
#ifndef MIN
#define MIN(x, y) ( ((x)<(y))?(x):(y) )
#endif

    /*
    * FUNCTION: static int __device__ __host__ sha512_compress
    *
    * ARGS:
    * sha512_context* md - Pointer to the SHA-512 context structure.
    * unsigned char* buf - Pointer to the buffer containing the data to be compressed.
    *
    * DESCRIPTION:
    * This function performs the compression step of the SHA-512 algorithm on a block of data.
    * It performs the following steps:
    * - Copies the current state values from the SHA-512 context (md) into local variables (S).
    * - Copies the input data block (buf) into an array of 80 64-bit unsigned integers (W).
    * - Fills the remaining elements of W[16..79] using bitwise operations and additions as per the SHA-512 algorithm.
    * - Performs a series of 80 rounds of SHA-512 operations (RND macro) on the state variables (S) and elements of W.
    * - Updates the state variables (md->state) by adding the values from the local variables (S).
    * This function is marked as static, which means it can only be accessed within the same source file. It can be called from both device (GPU) and host (CPU) code, as denoted by the __device__ and __host__ qualifiers.
    *
    * RETURN VALUE: int
    * Returns 0 on success, and a non-zero value if any error occurs (currently not used in the function).
    */
    static int __device__ __host__ sha512_compress(sha512_context* md, unsigned char* buf)
    {
        uint64_t S[8], W[80], t0, t1;
        int i;

        /* copy state into S */
        for (i = 0; i < 8; i++)
            S[i] = md->state[i];
        /* copy the state into 1024-bits into W[0..15] */
        for (i = 0; i < 16; i++)
            LOAD64H(W[i], buf + (8 * i));
        /* fill W[16..79] */
        for (i = 16; i < 80; i++)
            W[i] = Gamma1(W[i - 2]) + W[i - 7] + Gamma0(W[i - 15]) + W[i - 16];

        /* Compress */
#define RND(a,b,c,d,e,f,g,h,i) \
    t0 = h + Sigma1(e) + Ch(e, f, g) + K[i] + W[i]; \
    t1 = Sigma0(a) + Maj(a, b, c);\
    d += t0; \
    h  = t0 + t1;

        for (i = 0; i < 80; i += 8) {
            RND(S[0], S[1], S[2], S[3], S[4], S[5], S[6], S[7], i + 0);
            RND(S[7], S[0], S[1], S[2], S[3], S[4], S[5], S[6], i + 1);
            RND(S[6], S[7], S[0], S[1], S[2], S[3], S[4], S[5], i + 2);
            RND(S[5], S[6], S[7], S[0], S[1], S[2], S[3], S[4], i + 3);
            RND(S[4], S[5], S[6], S[7], S[0], S[1], S[2], S[3], i + 4);
            RND(S[3], S[4], S[5], S[6], S[7], S[0], S[1], S[2], i + 5);
            RND(S[2], S[3], S[4], S[5], S[6], S[7], S[0], S[1], i + 6);
            RND(S[1], S[2], S[3], S[4], S[5], S[6], S[7], S[0], i + 7);
        }
#undef RND
        for (i = 0; i < 8; i++)
            md->state[i] = md->state[i] + S[i];

        return 0;
    }

    /*
    * FUNCTION: int __device__ __host__ sha512_init
    *
    * ARGS:
    * sha512_context* md - Pointer to the SHA-512 context structure.
    *
    * DESCRIPTION:
    * This function initializes the SHA-512 context by setting the initial state values for the SHA-512 hash calculation.
    * It performs the following steps:
    * - Checks for a NULL pointer for the input SHA-512 context, which is an error condition.
    * - Sets the buffer length (curlen) and original message length (length) in the context to 0.
    * - Sets the initial state values (8 64-bit unsigned integers) in the context as per the SHA-512 algorithm specifications.
    * This function can be called from both device (GPU) and host (CPU) code, as denoted by the __device__ and __host__ qualifiers.
    *
    * RETURN VALUE: int
    * Returns 0 on success, and a non-zero value if any error occurs (e.g., NULL pointer for the input context).
    */
    int __device__ __host__ sha512_init(sha512_context* md)
    {
        if (md == NULL) return 1;
        md->curlen = 0;
        md->length = 0;
        md->state[0] = UINT64_C(0x6a09e667f3bcc908);
        md->state[1] = UINT64_C(0xbb67ae8584caa73b);
        md->state[2] = UINT64_C(0x3c6ef372fe94f82b);
        md->state[3] = UINT64_C(0xa54ff53a5f1d36f1);
        md->state[4] = UINT64_C(0x510e527fade682d1);
        md->state[5] = UINT64_C(0x9b05688c2b3e6c1f);
        md->state[6] = UINT64_C(0x1f83d9abfb41bd6b);
        md->state[7] = UINT64_C(0x5be0cd19137e2179);

        return 0;
    }

    /*
    * FUNCTION: int __device__ __host__ sha512_update
    *
    * ARGS:
    * sha512_context* md - Pointer to the SHA-512 context structure.
    * const uint8_t* in - Pointer to the input message buffer.
    * size_t inlen - Length of the input message buffer.
    *
    * DESCRIPTION:
    * This function updates the SHA-512 hash calculation with additional input data. It processes the input data in blocks of 128 bytes and updates the SHA-512 context accordingly.
    * It performs the following steps:
    * - Checks for NULL pointers for the input SHA-512 context and input message buffer.
    * - Checks if the current length of the message buffer in the context is greater than the size of the buffer, which is an error condition.
    * - Processes the input data in blocks of 128 bytes:
    * - If the current length of the message buffer in the context is 0 and the input data length is greater than or equal to 128 bytes, it directly compresses the input data using sha512_compress() function, updates the length of the original message, and advances the input data buffer and length.
    * - Otherwise, it copies the input data to the message buffer in the context until the buffer is full (128 bytes):
    * - If the buffer is full, it compresses the buffer using sha512_compress() function, updates the length of the original message, and resets the buffer length.
    * - Continues this process until all the input data is processed.
    * This function can be called from both device (GPU) and host (CPU) code, as denoted by the __device__ and __host__ qualifiers.
    *
    * RETURN VALUE: int
    * Returns 0 on success, and a non-zero value if any error occurs.
    */
    int __device__ __host__ sha512_update(sha512_context* md, const uint8_t* in, size_t inlen)
    {
        size_t n;
        int  err;

        /* Check if input parameters are valid */
        if (md == NULL) return 1;
        if (in == NULL) return 1;
        if (md->curlen > sizeof(md->buf)) return 1;

        /* Process input data in blocks of HASH_SIZE bytes */
        while (inlen > 0)
        {
            /* If there is enough input data and buffer is empty, directly compress the input data */
            if (md->curlen == 0 && inlen >= HASH_SIZE)
            {
                if ((err = sha512_compress(md, (unsigned char*)in)) != 0) return err;

                md->length += HASH_SIZE * 8;
                in += HASH_SIZE;
                inlen -= HASH_SIZE;
            }
            else
            {
                /* Copy input data to buffer until it is full or input data is exhausted */
                n = MIN(inlen, (HASH_SIZE - md->curlen));
                for (size_t i = 0; i < n; ++i)
                    md->buf[i + md->curlen] = in[i];

                md->curlen += n;
                in += n;
                inlen -= n;

                /* If buffer is full, compress it */
                if (md->curlen == HASH_SIZE) {
                    if ((err = sha512_compress(md, md->buf)) != 0) return err;

                    md->length += 8 * HASH_SIZE;
                    md->curlen = 0;
                }
            }
        }
        return 0;
    }

    /*
    * FUNCTION: int __device__ __host__ sha512_final
    *
    * ARGS:
    * sha512_context* md - Pointer to the SHA-512 context structure.
    * uint8_t* out - Pointer to the output buffer for storing the final SHA-512 hash.
    *
    * DESCRIPTION:
    * This function finalizes the SHA-512 hash calculation by padding the input message and storing the calculated hash in the output buffer.
    * It performs the following steps:
    * - Checks for NULL pointers for the input SHA-512 context and output buffer.
    * - Appends the `1` bit to the message buffer.
    * - If the length of the message buffer is greater than 112 bytes, it appends zeros and compresses the buffer.
    * - Appends zeros to the message buffer until it reaches a length of 120 bytes.
    * - Stores the length of the original message in big-endian format in the last 8 bytes of the buffer.
    * - Performs the final compression using sha512_compress() function.
    * - Copies the resulting hash from the SHA-512 context to the output buffer.
    *  This function can be called from both device (GPU) and host (CPU) code, as denoted by the __device__ and __host__ qualifiers.
    *
    * RETURN VALUE: int
    * Returns 0 on success, and a non-zero value if any error occurs.
    */
    int __device__ __host__ sha512_final(sha512_context* md, uint8_t* out)
    {
        /* Check if input parameters are valid */
        if (md == NULL) return 1;
        if (out == NULL) return 1;
        if (md->curlen >= sizeof(md->buf)) return 1;

        /* increase the length of the message */
        md->length += md->curlen * UINT64_C(8);
        /* append the '1' bit */
        md->buf[md->curlen++] = (unsigned char)0x80;

        /* if the length is currently above 112 bytes append zeros then compress. Then can fall back to padding zeros and length encoding like normal */
        if (md->curlen > 112) {
            while (md->curlen < HASH_SIZE)
                md->buf[md->curlen++] = (unsigned char)0;

            sha512_compress(md, md->buf);
            md->curlen = 0;
        }

        while (md->curlen < 120)
            md->buf[md->curlen++] = (unsigned char)0;

        /* store length */
        STORE64H(md->length, md->buf + 120);
        sha512_compress(md, md->buf);
        /* copy output */
        for (int i = 0; i < 8; i++)
            STORE64H(md->state[i], out + (8 * i));

        return 0;
    }

    /*
    * FUNCTION: int __device__ __host__ sha512
    *
    * ARGS:
    * const uint8_t* message - Pointer to the input message whose SHA-512 hash needs to be calculated.
    * size_t length - Length of the input message.
    * uint8_t* out - Pointer to the output buffer for storing the calculated SHA-512 hash.
    *
    * DESCRIPTION:
    * This function calculates the SHA-512 hash for the input message using the sha512_context structure and associated functions.
    * It initializes the sha512_context using sha512_init() function, updates the context with the input message using sha512_update() function, and finalizes the context to obtain the SHA-512 hash using sha512_final() function.
    * The calculated hash is stored in the output buffer pointed to by `out`.
    * This function can be called from both device (GPU) and host (CPU) code, as denoted by the __device__ and __host__ qualifiers.
    *
    * RETURN VALUE: int
    * Returns the status of the SHA-512 calculation, where 0 indicates success, and any other value indicates an error.
    */
    int __device__ __host__ sha512(const uint8_t* message, size_t length, uint8_t* out)
    {
        sha512_context ctx;
        int status;
        if ((status = sha512_init(&ctx))) return status;
        if ((status = sha512_update(&ctx, message, length))) return status;
        if ((status = sha512_final(&ctx, out))) return status;
        return status;
    }

    /*
    * FUNCTION: std::string __host__ sha512
    *
    * ARGS:
    * const uint8_t* message - Pointer to the input message whose SHA-512 hash needs to be calculated.
    * size_t length - Length of the input data.
    *
    * DESCRIPTION:
    * This function calculates the SHA-512 hash of the input data using a GPU-based implementation.
    * It performs the following steps:
    * - Initializes a SHA-512 context structure (ctx) from the sha512GPU namespace.
    * - Updates the context with the input data using sha512GPU::sha512_update() function.
    * - Finalizes the hash calculation and stores the resulting digest in a local buffer (digest) using sha512GPU::sha512_final() function.
    * - Converts the digest from binary to hexadecimal representation and stores it in a string buffer (buf) using sprintf() function.
    * - Returns the calculated SHA-512 hash as a string.
    * This function is marked with __host__ qualifier, which means it can be called from host (CPU) code, but not from device (GPU) code.
    *
    * RETURN VALUE: std::vector< uint8_t >
    * Returns the calculated std::vector< uint8_t > as a hexadecimal bytes.
    */
    std::vector< uint8_t > __host__ sha512(const uint8_t* message, size_t length)
    {
        std::vector< uint8_t > digest(DIGEST_SIZE);
        hashes::sha512_context ctx;
        int status;
        if ((status = hashes::sha512_init(&ctx))) return digest;
        if ((status = hashes::sha512_update(&ctx, message, length))) return digest;
        if ((status = hashes::sha512_final(&ctx, digest.data()))) return digest;
        return digest;
    }

    /*
    * FUNCTION: void __global__ sha512Kernel
    *
    * ARGS:
    * char* inputs - Pointer to the input buffers in GPU memory.
    * int numInputs - Number of input buffers to process.
    * uint8_t* outputs - Pointer to the output buffer in GPU memory for storing the calculated SHA-512 hashes.
    * size_t bufferSize - Size of each input buffer.
    * int bufferLength - Length of each input buffer.
    * This function is meant to be called from host code and executed on the GPU using CUDA.
    *
    * DESCRIPTION:
    * This CUDA kernel function is launched on the GPU to calculate the SHA-512 hashes for the input buffers in parallel.
    * It calculates the global thread ID using blockIdx.x and threadIdx.x, and checks if the thread ID is within bounds of the number of input buffers.
    * If the thread ID is within bounds, it calls the sha512() function to calculate the SHA-512 hash for the corresponding input buffer, and stores the result in the output buffer in GPU memory.
    */
    void __global__ sha512Kernel(char* inputs, int numInputs, uint8_t* outputs, int bufferLength)
    {
        /* Calculate global thread ID */
        int index = blockIdx.x * blockDim.x + threadIdx.x;
        /* Check if thread ID is within bounds and call SHA-512 function */
        if (index < numInputs)
            sha512((uint8_t*)(inputs + index * bufferLength), bufferLength, outputs + index * DIGEST_SIZE);
    }

    /*
    * TEST FUNCTION: std::vector< std::vector< uint8_t >> sha512BuffersGPU
    *
    * ARGS:
    * const std::vector< std::vector< uint8_t >>& buffers - A vector of input buffers to calculate SHA-512 hashes. 
    *
    * DESCRIPTION:
    * This function calculates the SHA-512 hash for a vector of input buffers on the GPU using CUDA parallel processing.
    * It allocates GPU memory for input and output buffers, copies input buffers from host to GPU memory, and launches a CUDA kernel function to perform the hash calculation.
    * The results are then copied back from GPU to host memory using CUDA streams for faster copying.
    * Finally, the function converts the hash results from binary to hexadecimal string format and returns them as a vector of strings.
    *
    * RETURN VALUE: std::vector< std::vector< uint8_t >> 
    * A vector of SHA-512 hashes for the input buffers.
    */
    std::vector< std::vector< uint8_t >> testSHA512GPU(const std::vector< std::vector< uint8_t >>& buffers)
    {
        int numInputs = buffers.size();
        /* Size of each input buffer (assuming all strings have the same size) */
        size_t bufferSize = buffers[0].size();
        int bufferLength = static_cast< int >(bufferSize);

        /*  Create and copy input buffers to GPU memory */
        char* d_inputs;
        cudaMalloc((void**)&d_inputs, numInputs * bufferLength);
        for (int i = 0; i < numInputs; ++i)
            cudaMemcpy(d_inputs + i * bufferLength, buffers[i].data(), bufferLength, cudaMemcpyHostToDevice);

        unsigned char* d_outputs;
        /* 128 - size of SHA-512 hash in bytes */
        cudaMalloc((void**)&d_outputs, numInputs * hashes::DIGEST_SIZE);

        /* Calculate grid size and block size for CUDA threads */
        const int blockSize = 256;
        const int gridSize = (numInputs + blockSize - 1) / blockSize;

        /* Call the sha512Kernel CUDA kernel function on GPU to calculate hashes for each input buffer and save results into output buffer */
        hashes::sha512Kernel << < gridSize, blockSize >> > (d_inputs, numInputs, d_outputs, bufferLength);

        /* Allocate memory on host for results */
        std::vector< std::vector< uint8_t >> results(numInputs);
        /* Allocate memory on host for output buffer */
        std::vector< unsigned char > h_outputs(numInputs * hashes::DIGEST_SIZE);

        /* Create CUDA stream for faster copying */
        cudaStream_t stream;
        cudaStreamCreate(&stream);
        /* Copy results using CUDA stream */
        cudaMemcpyAsync(h_outputs.data(), d_outputs, numInputs * hashes::DIGEST_SIZE, cudaMemcpyDeviceToHost, stream);
        /* Synchronize CUDA stream to complete copying */
        cudaStreamSynchronize(stream);

        /* Copy results to vector of vectors */
        for (int i = 0; i < numInputs; ++i) {
            results[i].resize(hashes::DIGEST_SIZE);
            memcpy(results[i].data(), h_outputs.data() + i * hashes::DIGEST_SIZE, hashes::DIGEST_SIZE);
        }
        /* Free GPU memory */
        cudaFree(d_inputs);
        cudaFree(d_outputs);
        /* Destroy CUDA stream */
        cudaStreamDestroy(stream);
        return results;
    }

 

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