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// aus heavy.cu |
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extern cudaError_t MyStreamSynchronize(cudaStream_t stream, int situation, int thr_id); |
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typedef unsigned int uint32_t; |
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typedef unsigned long long uint64_t; |
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#define C32(x) ((uint32_t)(x ## U)) |
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#define T32(x) ((x) & C32(0xFFFFFFFF)) |
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#if __CUDA_ARCH__ < 350 |
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// Kepler (Compute 3.0) |
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#define ROTL32(x, n) T32(((x) << (n)) | ((x) >> (32 - (n)))) |
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#else |
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// Kepler (Compute 3.5) |
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#define ROTL32(x, n) __funnelshift_l( (x), (x), (n) ) |
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#endif |
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__constant__ uint32_t c_IV_512[32]; |
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const uint32_t h_IV_512[32] = { |
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0x0ba16b95, 0x72f999ad, 0x9fecc2ae, 0xba3264fc, 0x5e894929, 0x8e9f30e5, 0x2f1daa37, 0xf0f2c558, |
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0xac506643, 0xa90635a5, 0xe25b878b, 0xaab7878f, 0x88817f7a, 0x0a02892b, 0x559a7550, 0x598f657e, |
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0x7eef60a1, 0x6b70e3e8, 0x9c1714d1, 0xb958e2a8, 0xab02675e, 0xed1c014f, 0xcd8d65bb, 0xfdb7a257, |
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0x09254899, 0xd699c7bc, 0x9019b6dc, 0x2b9022e4, 0x8fa14956, 0x21bf9bd3, 0xb94d0943, 0x6ffddc22 |
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}; |
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__constant__ int c_FFT[256]; |
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const int h_FFT[256] = |
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{ |
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// this is the FFT result in revbin permuted order |
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4, -4, 32, -32, -60, 60, 60, -60, 101, -101, 58, -58, 112, -112, -11, 11, -92, 92, |
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-119, 119, 42, -42, -82, 82, 32, -32, 32, -32, 121, -121, 17, -17, -47, 47, 63, |
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-63, 107, -107, -76, 76, -119, 119, -83, 83, 126, -126, 94, -94, -23, 23, -76, |
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76, -47, 47, 92, -92, -117, 117, 73, -73, -53, 53, 88, -88, -80, 80, -47, 47, |
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5, -5, 67, -67, 34, -34, 4, -4, 87, -87, -28, 28, -70, 70, -110, 110, -18, 18, 93, |
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-93, 51, -51, 36, -36, 118, -118, -106, 106, 45, -45, -108, 108, -44, 44, 117, |
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-117, -121, 121, -37, 37, 65, -65, 37, -37, 40, -40, -42, 42, 91, -91, -128, 128, |
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-21, 21, 94, -94, -98, 98, -47, 47, 28, -28, 115, -115, 16, -16, -20, 20, 122, |
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-122, 115, -115, 46, -46, 84, -84, -127, 127, 57, -57, 127, -127, -80, 80, 24, |
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-24, 15, -15, 29, -29, -78, 78, -126, 126, 16, -16, 52, -52, 55, -55, 110, -110, |
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-51, 51, -120, 120, -124, 124, -24, 24, -76, 76, 26, -26, -21, 21, -64, 64, -99, |
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99, 85, -85, -15, 15, -120, 120, -116, 116, 85, -85, 12, -12, -24, 24, 4, -4, |
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79, -79, 76, -76, 23, -23, 4, -4, -108, 108, -20, 20, 73, -73, -42, 42, -7, 7, |
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-29, 29, -123, 123, 49, -49, -96, 96, -68, 68, -112, 112, 116, -116, -24, 24, 93, |
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-93, -125, 125, -86, 86, 117, -117, -91, 91, 42, -42, 87, -87, -117, 117, 102, -102 |
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}; |
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__constant__ int c_P4[32][4]; |
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static const int h_P4[32][4] = { |
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{ 2, 34, 18, 50 }, |
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{ 6, 38, 22, 54 }, |
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{ 0, 32, 16, 48 }, |
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{ 4, 36, 20, 52 }, |
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{ 14, 46, 30, 62 }, |
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{ 10, 42, 26, 58 }, |
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{ 12, 44, 28, 60 }, |
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{ 8, 40, 24, 56 }, |
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{ 15, 47, 31, 63 }, |
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{ 13, 45, 29, 61 }, |
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{ 3, 35, 19, 51 }, |
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{ 1, 33, 17, 49 }, |
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{ 9, 41, 25, 57 }, |
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{ 11, 43, 27, 59 }, |
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{ 5, 37, 21, 53 }, |
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{ 7, 39, 23, 55 }, |
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{ 8, 40, 24, 56 }, |
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{ 4, 36, 20, 52 }, |
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{ 14, 46, 30, 62 }, |
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{ 2, 34, 18, 50 }, |
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{ 6, 38, 22, 54 }, |
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{ 10, 42, 26, 58 }, |
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{ 0, 32, 16, 48 }, |
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{ 12, 44, 28, 60 }, |
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{ 70, 102, 86, 118 }, |
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{ 64, 96, 80, 112 }, |
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{ 72, 104, 88, 120 }, |
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{ 78, 110, 94, 126 }, |
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{ 76, 108, 92, 124 }, |
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{ 74, 106, 90, 122 }, |
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{ 66, 98, 82, 114 }, |
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{ 68, 100, 84, 116 } |
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}; |
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__constant__ int c_Q4[32][4]; |
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static const int h_Q4[32][4] = { |
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{ 66, 98, 82, 114 }, |
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{ 70, 102, 86, 118 }, |
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{ 64, 96, 80, 112 }, |
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{ 68, 100, 84, 116 }, |
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{ 78, 110, 94, 126 }, |
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{ 74, 106, 90, 122 }, |
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{ 76, 108, 92, 124 }, |
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{ 72, 104, 88, 120 }, |
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{ 79, 111, 95, 127 }, |
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{ 77, 109, 93, 125 }, |
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{ 67, 99, 83, 115 }, |
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{ 65, 97, 81, 113 }, |
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{ 73, 105, 89, 121 }, |
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{ 75, 107, 91, 123 }, |
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{ 69, 101, 85, 117 }, |
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{ 71, 103, 87, 119 }, |
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{ 9, 41, 25, 57 }, |
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{ 5, 37, 21, 53 }, |
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{ 15, 47, 31, 63 }, |
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{ 3, 35, 19, 51 }, |
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{ 7, 39, 23, 55 }, |
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{ 11, 43, 27, 59 }, |
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{ 1, 33, 17, 49 }, |
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{ 13, 45, 29, 61 }, |
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{ 71, 103, 87, 119 }, |
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{ 65, 97, 81, 113 }, |
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{ 73, 105, 89, 121 }, |
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{ 79, 111, 95, 127 }, |
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{ 77, 109, 93, 125 }, |
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{ 75, 107, 91, 123 }, |
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{ 67, 99, 83, 115 }, |
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{ 69, 101, 85, 117 } |
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}; |
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__constant__ int c_P8[32][8]; |
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static const int h_P8[32][8] = { |
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{ 2, 66, 34, 98, 18, 82, 50, 114 }, |
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{ 6, 70, 38, 102, 22, 86, 54, 118 }, |
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{ 0, 64, 32, 96, 16, 80, 48, 112 }, |
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{ 4, 68, 36, 100, 20, 84, 52, 116 }, |
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{ 14, 78, 46, 110, 30, 94, 62, 126 }, |
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{ 10, 74, 42, 106, 26, 90, 58, 122 }, |
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{ 12, 76, 44, 108, 28, 92, 60, 124 }, |
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{ 8, 72, 40, 104, 24, 88, 56, 120 }, |
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{ 15, 79, 47, 111, 31, 95, 63, 127 }, |
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{ 13, 77, 45, 109, 29, 93, 61, 125 }, |
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{ 3, 67, 35, 99, 19, 83, 51, 115 }, |
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{ 1, 65, 33, 97, 17, 81, 49, 113 }, |
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{ 9, 73, 41, 105, 25, 89, 57, 121 }, |
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{ 11, 75, 43, 107, 27, 91, 59, 123 }, |
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{ 5, 69, 37, 101, 21, 85, 53, 117 }, |
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{ 7, 71, 39, 103, 23, 87, 55, 119 }, |
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{ 8, 72, 40, 104, 24, 88, 56, 120 }, |
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{ 4, 68, 36, 100, 20, 84, 52, 116 }, |
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{ 14, 78, 46, 110, 30, 94, 62, 126 }, |
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{ 2, 66, 34, 98, 18, 82, 50, 114 }, |
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{ 6, 70, 38, 102, 22, 86, 54, 118 }, |
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{ 10, 74, 42, 106, 26, 90, 58, 122 }, |
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{ 0, 64, 32, 96, 16, 80, 48, 112 }, |
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{ 12, 76, 44, 108, 28, 92, 60, 124 }, |
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{ 134, 198, 166, 230, 150, 214, 182, 246 }, |
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{ 128, 192, 160, 224, 144, 208, 176, 240 }, |
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{ 136, 200, 168, 232, 152, 216, 184, 248 }, |
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{ 142, 206, 174, 238, 158, 222, 190, 254 }, |
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{ 140, 204, 172, 236, 156, 220, 188, 252 }, |
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{ 138, 202, 170, 234, 154, 218, 186, 250 }, |
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{ 130, 194, 162, 226, 146, 210, 178, 242 }, |
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{ 132, 196, 164, 228, 148, 212, 180, 244 }, |
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}; |
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__constant__ int c_Q8[32][8]; |
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static const int h_Q8[32][8] = { |
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{ 130, 194, 162, 226, 146, 210, 178, 242 }, |
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{ 134, 198, 166, 230, 150, 214, 182, 246 }, |
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{ 128, 192, 160, 224, 144, 208, 176, 240 }, |
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{ 132, 196, 164, 228, 148, 212, 180, 244 }, |
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{ 142, 206, 174, 238, 158, 222, 190, 254 }, |
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{ 138, 202, 170, 234, 154, 218, 186, 250 }, |
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{ 140, 204, 172, 236, 156, 220, 188, 252 }, |
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{ 136, 200, 168, 232, 152, 216, 184, 248 }, |
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{ 143, 207, 175, 239, 159, 223, 191, 255 }, |
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{ 141, 205, 173, 237, 157, 221, 189, 253 }, |
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{ 131, 195, 163, 227, 147, 211, 179, 243 }, |
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{ 129, 193, 161, 225, 145, 209, 177, 241 }, |
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{ 137, 201, 169, 233, 153, 217, 185, 249 }, |
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{ 139, 203, 171, 235, 155, 219, 187, 251 }, |
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{ 133, 197, 165, 229, 149, 213, 181, 245 }, |
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{ 135, 199, 167, 231, 151, 215, 183, 247 }, |
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{ 9, 73, 41, 105, 25, 89, 57, 121 }, |
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{ 5, 69, 37, 101, 21, 85, 53, 117 }, |
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{ 15, 79, 47, 111, 31, 95, 63, 127 }, |
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{ 3, 67, 35, 99, 19, 83, 51, 115 }, |
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{ 7, 71, 39, 103, 23, 87, 55, 119 }, |
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{ 11, 75, 43, 107, 27, 91, 59, 123 }, |
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{ 1, 65, 33, 97, 17, 81, 49, 113 }, |
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{ 13, 77, 45, 109, 29, 93, 61, 125 }, |
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{ 135, 199, 167, 231, 151, 215, 183, 247 }, |
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{ 129, 193, 161, 225, 145, 209, 177, 241 }, |
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{ 137, 201, 169, 233, 153, 217, 185, 249 }, |
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{ 143, 207, 175, 239, 159, 223, 191, 255 }, |
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{ 141, 205, 173, 237, 157, 221, 189, 253 }, |
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{ 139, 203, 171, 235, 155, 219, 187, 251 }, |
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{ 131, 195, 163, 227, 147, 211, 179, 243 }, |
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{ 133, 197, 165, 229, 149, 213, 181, 245 }, |
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}; |
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__constant__ int c_FFT64_8_8_Twiddle[64]; |
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static const int h_FFT64_8_8_Twiddle[64] = { |
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1, 1, 1, 1, 1, 1, 1, 1, |
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1, 2, 4, 8, 16, 32, 64, 128, |
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1, 60, 2, 120, 4, -17, 8, -34, |
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1, 120, 8, -68, 64, -30, -2, 17, |
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1, 46, 60, -67, 2, 92, 120, 123, |
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1, 92, -17, -22, 32, 117, -30, 67, |
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1, -67, 120, -73, 8, -22, -68, -70, |
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1, 123, -34, -70, 128, 67, 17, 35, |
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}; |
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__constant__ int c_FFT128_2_64_Twiddle[64]; |
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static const int h_FFT128_2_64_Twiddle[64] = { |
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1, -118, 46, -31, 60, 116, -67, -61, |
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2, 21, 92, -62, 120, -25, 123, -122, |
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4, 42, -73, -124, -17, -50, -11, 13, |
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8, 84, 111, 9, -34, -100, -22, 26, |
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16, -89, -35, 18, -68, 57, -44, 52, |
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32, 79, -70, 36, 121, 114, -88, 104, |
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64, -99, 117, 72, -15, -29, 81, -49, |
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128, 59, -23, -113, -30, -58, -95, -98 |
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}; |
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__constant__ int c_FFT128_16_8_Twiddle[128]; |
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static const int h_FFT128_16_8_Twiddle[128] = { |
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1, 1, 1, 1, 1, 1, 1, 1, |
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1, 2, 4, 8, 16, 32, 64, 128, |
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1, 60, 2, 120, 4, -17, 8, -34, |
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1, 120, 8, -68, 64, -30, -2, 17, |
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1, 46, 60, -67, 2, 92, 120, 123, |
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1, 92, -17, -22, 32, 117, -30, 67, |
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1, -67, 120, -73, 8, -22, -68, -70, |
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1, 123, -34, -70, 128, 67, 17, 35, |
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1, -118, 46, -31, 60, 116, -67, -61, |
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1, 21, -73, 9, -68, 114, 81, -98, |
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1, 116, 92, -122, -17, 84, -22, 18, |
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1, -25, 111, 52, -15, 118, -123, -9, |
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1, -31, -67, 21, 120, -122, -73, -50, |
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1, -62, -11, -89, 121, -49, -46, 25, |
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1, -61, 123, -50, -34, 18, -70, -99, |
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1, -122, -22, 114, -30, 62, -111, -79 }; |
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__constant__ int c_FFT128_8_16_Twiddle[128]; |
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static const int h_FFT128_8_16_Twiddle[128] = { |
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1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, |
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1, 60, 2, 120, 4, -17, 8, -34, 16, -68, 32, 121, 64, -15, 128, -30, |
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1, 46, 60, -67, 2, 92, 120, 123, 4, -73, -17, -11, 8, 111, -34, -22, |
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1, -67, 120, -73, 8, -22, -68, -70, 64, 81, -30, -46, -2, -123, 17, -111, |
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1, -118, 46, -31, 60, 116, -67, -61, 2, 21, 92, -62, 120, -25, 123, -122, |
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1, 116, 92, -122, -17, 84, -22, 18, 32, 114, 117, -49, -30, 118, 67, 62, |
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1, -31, -67, 21, 120, -122, -73, -50, 8, 9, -22, -89, -68, 52, -70, 114, |
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1, -61, 123, -50, -34, 18, -70, -99, 128, -98, 67, 25, 17, -9, 35, -79}; |
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__constant__ int c_FFT256_2_128_Twiddle[128]; |
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static const int h_FFT256_2_128_Twiddle[128] = { |
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1, 41, -118, 45, 46, 87, -31, 14, |
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60, -110, 116, -127, -67, 80, -61, 69, |
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2, 82, 21, 90, 92, -83, -62, 28, |
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120, 37, -25, 3, 123, -97, -122, -119, |
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4, -93, 42, -77, -73, 91, -124, 56, |
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-17, 74, -50, 6, -11, 63, 13, 19, |
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8, 71, 84, 103, 111, -75, 9, 112, |
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-34, -109, -100, 12, -22, 126, 26, 38, |
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16, -115, -89, -51, -35, 107, 18, -33, |
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-68, 39, 57, 24, -44, -5, 52, 76, |
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32, 27, 79, -102, -70, -43, 36, -66, |
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121, 78, 114, 48, -88, -10, 104, -105, |
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64, 54, -99, 53, 117, -86, 72, 125, |
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-15, -101, -29, 96, 81, -20, -49, 47, |
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128, 108, 59, 106, -23, 85, -113, -7, |
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-30, 55, -58, -65, -95, -40, -98, 94}; |
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#define p8_xor(x) ( ((x)%7) == 0 ? 1 : \ |
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((x)%7) == 1 ? 6 : \ |
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((x)%7) == 2 ? 2 : \ |
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((x)%7) == 3 ? 3 : \ |
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((x)%7) == 4 ? 5 : \ |
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((x)%7) == 5 ? 7 : \ |
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4 ) |
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/************* the round function ****************/ |
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#define IF(x, y, z) ((((y) ^ (z)) & (x)) ^ (z)) |
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#define MAJ(x, y, z) (((z) & (y)) | (((z) | (y)) & (x))) |
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__device__ __forceinline__ void STEP8_IF(const uint32_t *w, const int i, const int r, const int s, uint32_t *A, const uint32_t *B, const uint32_t *C, uint32_t *D) |
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{ |
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int j; |
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uint32_t R[8]; |
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#pragma unroll 8 |
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for(j=0; j<8; j++) { |
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R[j] = ROTL32(A[j], r); |
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} |
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#pragma unroll 8 |
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for(j=0; j<8; j++) { |
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D[j] = D[j] + w[j] + IF(A[j], B[j], C[j]); |
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D[j] = T32(ROTL32(T32(D[j]), s) + R[j^p8_xor(i)]); |
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A[j] = R[j]; |
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} |
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} |
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__device__ __forceinline__ void STEP8_MAJ(const uint32_t *w, const int i, const int r, const int s, uint32_t *A, const uint32_t *B, const uint32_t *C, uint32_t *D) |
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{ |
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int j; |
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uint32_t R[8]; |
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#pragma unroll 8 |
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for(j=0; j<8; j++) { |
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R[j] = ROTL32(A[j], r); |
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} |
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#pragma unroll 8 |
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for(j=0; j<8; j++) { |
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D[j] = D[j] + w[j] + MAJ(A[j], B[j], C[j]); |
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D[j] = T32(ROTL32(T32(D[j]), s) + R[j^p8_xor(i)]); |
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A[j] = R[j]; |
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} |
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} |
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__device__ __forceinline__ void Round8(uint32_t A[128], const int y[128], int i, |
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int r, int s, int t, int u) { |
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int code = i<2? 185: 233; |
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uint32_t w[8][8]; |
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int a, b; |
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/* |
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* The FFT output y is in revbin permuted order, |
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* but this is included in the tables P and Q |
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*/ |
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#pragma unroll 8 |
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for(a=0; a<8; a++) |
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#pragma unroll 8 |
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for(b=0; b<8; b++) |
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w[a][b] = __byte_perm( (y[c_P8[8*i+a][b]] * code), (y[c_Q8[8*i+a][b]] * code), 0x5410); |
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STEP8_IF(w[0], 8*i+0, r, s, A, &A[8], &A[16], &A[24]); |
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STEP8_IF(w[1], 8*i+1, s, t, &A[24], A, &A[8], &A[16]); |
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STEP8_IF(w[2], 8*i+2, t, u, &A[16], &A[24], A, &A[8]); |
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STEP8_IF(w[3], 8*i+3, u, r, &A[8], &A[16], &A[24], A); |
|
|
|
|
|
STEP8_MAJ(w[4], 8*i+4, r, s, A, &A[8], &A[16], &A[24]); |
|
|
STEP8_MAJ(w[5], 8*i+5, s, t, &A[24], A, &A[8], &A[16]); |
|
|
STEP8_MAJ(w[6], 8*i+6, t, u, &A[16], &A[24], A, &A[8]); |
|
|
STEP8_MAJ(w[7], 8*i+7, u, r, &A[8], &A[16], &A[24], A); |
|
|
} |
|
|
|
|
|
|
|
|
/********************* Message expansion ************************/ |
|
|
|
|
|
/* |
|
|
* Reduce modulo 257; result is in [-127; 383] |
|
|
* REDUCE(x) := (x&255) - (x>>8) |
|
|
*/ |
|
|
#define REDUCE(x) (((x)&255) - ((x)>>8)) |
|
|
|
|
|
/* |
|
|
* Reduce from [-127; 383] to [-128; 128] |
|
|
* EXTRA_REDUCE_S(x) := x<=128 ? x : x-257 |
|
|
*/ |
|
|
#define EXTRA_REDUCE_S(x) \ |
|
|
((x)<=128 ? (x) : (x)-257) |
|
|
|
|
|
/* |
|
|
* Reduce modulo 257; result is in [-128; 128] |
|
|
*/ |
|
|
#define REDUCE_FULL_S(x) \ |
|
|
EXTRA_REDUCE_S(REDUCE(x)) |
|
|
|
|
|
__device__ __forceinline__ void FFT_8(int *y, int stripe) { |
|
|
|
|
|
/* |
|
|
* FFT_8 using w=4 as 8th root of unity |
|
|
* Unrolled decimation in frequency (DIF) radix-2 NTT. |
|
|
* Output data is in revbin_permuted order. |
|
|
*/ |
|
|
|
|
|
#define X(i) y[stripe*i] |
|
|
|
|
|
#define DO_REDUCE(i) \ |
|
|
X(i) = REDUCE(X(i)) |
|
|
|
|
|
#define DO_REDUCE_FULL_S(i) \ |
|
|
do { \ |
|
|
X(i) = REDUCE(X(i)); \ |
|
|
X(i) = EXTRA_REDUCE_S(X(i)); \ |
|
|
} while(0) |
|
|
|
|
|
#define BUTTERFLY(i,j,n) \ |
|
|
do { \ |
|
|
int u= X(i); \ |
|
|
int v= X(j); \ |
|
|
X(i) = u+v; \ |
|
|
X(j) = (u-v) << (2*n); \ |
|
|
} while(0) |
|
|
|
|
|
BUTTERFLY(0, 4, 0); |
|
|
BUTTERFLY(1, 5, 1); |
|
|
BUTTERFLY(2, 6, 2); |
|
|
BUTTERFLY(3, 7, 3); |
|
|
|
|
|
DO_REDUCE(6); |
|
|
DO_REDUCE(7); |
|
|
|
|
|
BUTTERFLY(0, 2, 0); |
|
|
BUTTERFLY(4, 6, 0); |
|
|
BUTTERFLY(1, 3, 2); |
|
|
BUTTERFLY(5, 7, 2); |
|
|
|
|
|
DO_REDUCE(7); |
|
|
|
|
|
BUTTERFLY(0, 1, 0); |
|
|
BUTTERFLY(2, 3, 0); |
|
|
BUTTERFLY(4, 5, 0); |
|
|
BUTTERFLY(6, 7, 0); |
|
|
|
|
|
DO_REDUCE_FULL_S(0); |
|
|
DO_REDUCE_FULL_S(1); |
|
|
DO_REDUCE_FULL_S(2); |
|
|
DO_REDUCE_FULL_S(3); |
|
|
DO_REDUCE_FULL_S(4); |
|
|
DO_REDUCE_FULL_S(5); |
|
|
DO_REDUCE_FULL_S(6); |
|
|
DO_REDUCE_FULL_S(7); |
|
|
|
|
|
#undef X |
|
|
#undef DO_REDUCE |
|
|
#undef DO_REDUCE_FULL_S |
|
|
#undef BUTTERFLY |
|
|
} |
|
|
|
|
|
__device__ __forceinline__ void FFT_16(int *y, int stripe) { |
|
|
|
|
|
/* |
|
|
* FFT_16 using w=2 as 16th root of unity |
|
|
* Unrolled decimation in frequency (DIF) radix-2 NTT. |
|
|
* Output data is in revbin_permuted order. |
|
|
*/ |
|
|
|
|
|
#define X(i) y[stripe*i] |
|
|
|
|
|
#define DO_REDUCE(i) \ |
|
|
X(i) = REDUCE(X(i)) |
|
|
|
|
|
#define DO_REDUCE_FULL_S(i) \ |
|
|
do { \ |
|
|
X(i) = REDUCE(X(i)); \ |
|
|
X(i) = EXTRA_REDUCE_S(X(i)); \ |
|
|
} while(0) |
|
|
|
|
|
#define BUTTERFLY(i,j,n) \ |
|
|
do { \ |
|
|
int u= X(i); \ |
|
|
int v= X(j); \ |
|
|
X(i) = u+v; \ |
|
|
X(j) = (u-v) << n; \ |
|
|
} while(0) |
|
|
|
|
|
BUTTERFLY(0, 8, 0); |
|
|
BUTTERFLY(1, 9, 1); |
|
|
BUTTERFLY(2, 10, 2); |
|
|
BUTTERFLY(3, 11, 3); |
|
|
BUTTERFLY(4, 12, 4); |
|
|
BUTTERFLY(5, 13, 5); |
|
|
BUTTERFLY(6, 14, 6); |
|
|
BUTTERFLY(7, 15, 7); |
|
|
|
|
|
DO_REDUCE(11); |
|
|
DO_REDUCE(12); |
|
|
DO_REDUCE(13); |
|
|
DO_REDUCE(14); |
|
|
DO_REDUCE(15); |
|
|
|
|
|
BUTTERFLY( 0, 4, 0); |
|
|
BUTTERFLY( 8, 12, 0); |
|
|
BUTTERFLY( 1, 5, 2); |
|
|
BUTTERFLY( 9, 13, 2); |
|
|
BUTTERFLY( 2, 6, 4); |
|
|
BUTTERFLY(10, 14, 4); |
|
|
BUTTERFLY( 3, 7, 6); |
|
|
BUTTERFLY(11, 15, 6); |
|
|
|
|
|
DO_REDUCE(5); |
|
|
DO_REDUCE(7); |
|
|
DO_REDUCE(13); |
|
|
DO_REDUCE(15); |
|
|
|
|
|
BUTTERFLY( 0, 2, 0); |
|
|
BUTTERFLY( 4, 6, 0); |
|
|
BUTTERFLY( 8, 10, 0); |
|
|
BUTTERFLY(12, 14, 0); |
|
|
BUTTERFLY( 1, 3, 4); |
|
|
BUTTERFLY( 5, 7, 4); |
|
|
BUTTERFLY( 9, 11, 4); |
|
|
BUTTERFLY(13, 15, 4); |
|
|
|
|
|
BUTTERFLY( 0, 1, 0); |
|
|
BUTTERFLY( 2, 3, 0); |
|
|
BUTTERFLY( 4, 5, 0); |
|
|
BUTTERFLY( 6, 7, 0); |
|
|
BUTTERFLY( 8, 9, 0); |
|
|
BUTTERFLY(10, 11, 0); |
|
|
BUTTERFLY(12, 13, 0); |
|
|
BUTTERFLY(14, 15, 0); |
|
|
|
|
|
DO_REDUCE_FULL_S( 0); |
|
|
DO_REDUCE_FULL_S( 1); |
|
|
DO_REDUCE_FULL_S( 2); |
|
|
DO_REDUCE_FULL_S( 3); |
|
|
DO_REDUCE_FULL_S( 4); |
|
|
DO_REDUCE_FULL_S( 5); |
|
|
DO_REDUCE_FULL_S( 6); |
|
|
DO_REDUCE_FULL_S( 7); |
|
|
DO_REDUCE_FULL_S( 8); |
|
|
DO_REDUCE_FULL_S( 9); |
|
|
DO_REDUCE_FULL_S(10); |
|
|
DO_REDUCE_FULL_S(11); |
|
|
DO_REDUCE_FULL_S(12); |
|
|
DO_REDUCE_FULL_S(13); |
|
|
DO_REDUCE_FULL_S(14); |
|
|
DO_REDUCE_FULL_S(15); |
|
|
|
|
|
#undef X |
|
|
#undef DO_REDUCE |
|
|
#undef DO_REDUCE_FULL_S |
|
|
#undef BUTTERFLY |
|
|
} |
|
|
|
|
|
__device__ __forceinline__ void FFT_64(int *y) { |
|
|
|
|
|
/* |
|
|
* FFT_64 using w=46 as 64th root of unity |
|
|
* decimation in frequency (DIF) radix-8 NTT. |
|
|
* Output data is in revbin_permuted order. |
|
|
*/ |
|
|
|
|
|
int i; |
|
|
|
|
|
/* |
|
|
* Begin with 8 parallels DIF FFT_8. |
|
|
*/ |
|
|
#pragma unroll 8 |
|
|
for (i=0; i<8; i++) { |
|
|
FFT_8(y+i,8); |
|
|
} |
|
|
|
|
|
/* |
|
|
* Multiply by twiddle factors |
|
|
*/ |
|
|
#pragma unroll 56 |
|
|
for (i=8; i<64; i++) |
|
|
if (i & 7) y[i] = REDUCE(y[i]*c_FFT64_8_8_Twiddle[i]); |
|
|
|
|
|
/* |
|
|
* Finish with 8 paralles DIF FFT_8. |
|
|
*/ |
|
|
#pragma unroll 8 |
|
|
for (i=0; i<8; i++) { |
|
|
FFT_8(y+8*i,1); |
|
|
} |
|
|
|
|
|
} |
|
|
|
|
|
__device__ __forceinline__ void FFT_128_halfzero(int *y) { |
|
|
|
|
|
/* |
|
|
* FFT_128 using w=139 as 128th root of unity. |
|
|
* Decimation in frequency (DIF) NTT. |
|
|
* Output data is in revbin_permuted order. |
|
|
* In place. |
|
|
*/ |
|
|
|
|
|
const int tmp = y[63]; |
|
|
int i; |
|
|
|
|
|
#pragma unroll 63 |
|
|
for (i=0; i<63; i++) |
|
|
y[64+i] = REDUCE(y[i] * c_FFT128_2_64_Twiddle[i]); |
|
|
|
|
|
/* handle X^127 */ |
|
|
y[63] = REDUCE(tmp + 1); |
|
|
y[127] = REDUCE((tmp - 1) * c_FFT128_2_64_Twiddle[63]); |
|
|
|
|
|
FFT_64(y); |
|
|
FFT_64(y+64); |
|
|
} |
|
|
|
|
|
__device__ __forceinline__ void FFT_128_full(int *y) { |
|
|
int i; |
|
|
|
|
|
#pragma unroll 16 |
|
|
for (i=0; i<16; i++) { |
|
|
FFT_8(y+i,16); |
|
|
} |
|
|
|
|
|
#pragma unroll 128 |
|
|
for (i=0; i<128; i++) |
|
|
/*if (i & 7)*/ y[i] = REDUCE(y[i]*c_FFT128_8_16_Twiddle[i]); |
|
|
|
|
|
#pragma unroll 8 |
|
|
for (i=0; i<8; i++) { |
|
|
FFT_16(y+16*i,1); |
|
|
} |
|
|
} |
|
|
|
|
|
|
|
|
__device__ __forceinline__ void FFT_256_halfzero(int *y) { |
|
|
|
|
|
int i; |
|
|
|
|
|
/* |
|
|
* FFT_256 using w=41 as 256th root of unity. |
|
|
* Decimation in frequency (DIF) NTT. |
|
|
* Output data is in revbin_permuted order. |
|
|
* In place. |
|
|
*/ |
|
|
const int tmp = y[127]; |
|
|
|
|
|
#pragma unroll 127 |
|
|
for (i=0; i<127; i++) |
|
|
y[128+i] = REDUCE(y[i] * c_FFT256_2_128_Twiddle[i]); |
|
|
|
|
|
/* handle X^255 with an additionnal butterfly */ |
|
|
y[127] = REDUCE(tmp + 1); |
|
|
y[255] = REDUCE((tmp - 1) * c_FFT256_2_128_Twiddle[127]); |
|
|
|
|
|
FFT_128_full(y); |
|
|
FFT_128_full(y+128); |
|
|
} |
|
|
|
|
|
|
|
|
__device__ __forceinline__ void SIMD_Compress(uint32_t A[128], const int *expanded, const uint32_t *M) { |
|
|
|
|
|
uint32_t IV[4][8]; |
|
|
int i; |
|
|
|
|
|
/* Save the chaining value for the feed-forward */ |
|
|
|
|
|
#pragma unroll 8 |
|
|
for(i=0; i<8; i++) { |
|
|
IV[0][i] = A[i]; |
|
|
IV[1][i] = (&A[8])[i]; |
|
|
IV[2][i] = (&A[16])[i]; |
|
|
IV[3][i] = (&A[24])[i]; |
|
|
} |
|
|
|
|
|
/* XOR the message to the chaining value */ |
|
|
/* we can XOR word-by-word */ |
|
|
|
|
|
{ |
|
|
#pragma unroll 8 |
|
|
for(i=0; i<8; i++) { |
|
|
A[i] ^= M[i]; |
|
|
(&A[8])[i] ^= M[8+i]; |
|
|
} |
|
|
} |
|
|
|
|
|
/* Run the feistel ladders with the expanded message */ |
|
|
{ |
|
|
Round8(A, expanded, 0, 3, 23, 17, 27); |
|
|
Round8(A, expanded, 1, 28, 19, 22, 7); |
|
|
Round8(A, expanded, 2, 29, 9, 15, 5); |
|
|
Round8(A, expanded, 3, 4, 13, 10, 25); |
|
|
|
|
|
STEP8_IF(IV[0], 32, 4, 13, A, &A[8], &A[16], &A[24]); |
|
|
STEP8_IF(IV[1], 33, 13, 10, &A[24], A, &A[8], &A[16]); |
|
|
STEP8_IF(IV[2], 34, 10, 25, &A[16], &A[24], A, &A[8]); |
|
|
STEP8_IF(IV[3], 35, 25, 4, &A[8], &A[16], &A[24], A); |
|
|
} |
|
|
} |
|
|
|
|
|
|
|
|
/***************************************************/ |
|
|
|
|
|
__device__ __forceinline__ void SIMDHash(const uint32_t *data, uint32_t *hashval) { |
|
|
|
|
|
uint32_t A[128]; |
|
|
int i; |
|
|
|
|
|
uint32_t buffer[16]; |
|
|
|
|
|
#pragma unroll 32 |
|
|
for (i=0; i < 32; i++) A[i] = c_IV_512[i]; |
|
|
|
|
|
#pragma unroll 16 |
|
|
for (i=0; i < 16; i++) buffer[i] = data[i]; |
|
|
|
|
|
/* Message Expansion using Number Theoretical Transform similar to FFT */ |
|
|
int expanded[256]; |
|
|
{ |
|
|
#pragma unroll 16 |
|
|
for(i=0; i<64; i+=4) { |
|
|
expanded[i+0] = __byte_perm(buffer[i/4],0,0x4440); |
|
|
expanded[i+1] = __byte_perm(buffer[i/4],0,0x4441); |
|
|
expanded[i+2] = __byte_perm(buffer[i/4],0,0x4442); |
|
|
expanded[i+3] = __byte_perm(buffer[i/4],0,0x4443); |
|
|
} |
|
|
#pragma unroll 16 |
|
|
for(i=64; i<128; i+=4) { |
|
|
expanded[i+0] = 0; |
|
|
expanded[i+1] = 0; |
|
|
expanded[i+2] = 0; |
|
|
expanded[i+3] = 0; |
|
|
} |
|
|
|
|
|
FFT_256_halfzero(expanded); |
|
|
} |
|
|
|
|
|
/* Compression Function */ |
|
|
SIMD_Compress(A, expanded, buffer); |
|
|
|
|
|
/* Padding Round with known input (hence the FFT can be precomputed) */ |
|
|
buffer[0] = 512; |
|
|
#pragma unroll 15 |
|
|
for (i=1; i < 16; i++) buffer[i] = 0; |
|
|
|
|
|
SIMD_Compress(A, c_FFT, buffer); |
|
|
|
|
|
#pragma unroll 16 |
|
|
for (i=0; i < 16; i++) |
|
|
hashval[i] = A[i]; |
|
|
} |
|
|
|
|
|
/***************************************************/ |
|
|
// Die Hash-Funktion |
|
|
__global__ void x11_simd512_gpu_hash_64(int threads, uint32_t startNounce, uint64_t *g_hash, uint32_t *g_nonceVector) |
|
|
{ |
|
|
int thread = (blockDim.x * blockIdx.x + threadIdx.x); |
|
|
if (thread < threads) |
|
|
{ |
|
|
uint32_t nounce = (g_nonceVector != NULL) ? g_nonceVector[thread] : (startNounce + thread); |
|
|
|
|
|
int hashPosition = nounce - startNounce; |
|
|
uint32_t *Hash = (uint32_t*)&g_hash[8 * hashPosition]; |
|
|
|
|
|
SIMDHash(Hash, Hash); |
|
|
} |
|
|
} |
|
|
|
|
|
|
|
|
// Setup-Funktionen |
|
|
__host__ void x11_simd512_cpu_init(int thr_id, int threads) |
|
|
{ |
|
|
cudaMemcpyToSymbol( c_IV_512, h_IV_512, sizeof(h_IV_512), 0, cudaMemcpyHostToDevice); |
|
|
cudaMemcpyToSymbol( c_FFT, h_FFT, sizeof(h_FFT), 0, cudaMemcpyHostToDevice); |
|
|
cudaMemcpyToSymbol( c_P4, h_P4, sizeof(h_P4), 0, cudaMemcpyHostToDevice); |
|
|
cudaMemcpyToSymbol( c_Q4, h_Q4, sizeof(h_Q4), 0, cudaMemcpyHostToDevice); |
|
|
cudaMemcpyToSymbol( c_P8, h_P8, sizeof(h_P8), 0, cudaMemcpyHostToDevice); |
|
|
cudaMemcpyToSymbol( c_Q8, h_Q8, sizeof(h_Q8), 0, cudaMemcpyHostToDevice); |
|
|
cudaMemcpyToSymbol( c_FFT64_8_8_Twiddle, h_FFT64_8_8_Twiddle, sizeof(h_FFT64_8_8_Twiddle), 0, cudaMemcpyHostToDevice); |
|
|
cudaMemcpyToSymbol( c_FFT128_2_64_Twiddle, h_FFT128_2_64_Twiddle, sizeof(h_FFT128_2_64_Twiddle), 0, cudaMemcpyHostToDevice); |
|
|
cudaMemcpyToSymbol( c_FFT128_16_8_Twiddle, h_FFT128_16_8_Twiddle, sizeof(h_FFT128_16_8_Twiddle), 0, cudaMemcpyHostToDevice); |
|
|
cudaMemcpyToSymbol( c_FFT128_8_16_Twiddle, h_FFT128_8_16_Twiddle, sizeof(h_FFT128_8_16_Twiddle), 0, cudaMemcpyHostToDevice); |
|
|
cudaMemcpyToSymbol( c_FFT256_2_128_Twiddle, h_FFT256_2_128_Twiddle, sizeof(h_FFT256_2_128_Twiddle), 0, cudaMemcpyHostToDevice); |
|
|
} |
|
|
|
|
|
__host__ void x11_simd512_cpu_hash_64(int thr_id, int threads, uint32_t startNounce, uint32_t *d_nonceVector, uint32_t *d_hash, int order) |
|
|
{ |
|
|
const int threadsperblock = 256; |
|
|
|
|
|
// berechne wie viele Thread Blocks wir brauchen |
|
|
dim3 grid((threads + threadsperblock-1)/threadsperblock); |
|
|
dim3 block(threadsperblock); |
|
|
|
|
|
// Gr<EFBFBD><EFBFBD>e des dynamischen Shared Memory Bereichs |
|
|
size_t shared_size = 0; |
|
|
|
|
|
// fprintf(stderr, "threads=%d, %d blocks, %d threads per block, %d bytes shared\n", threads, grid.x, block.x, shared_size); |
|
|
|
|
|
x11_simd512_gpu_hash_64<<<grid, block, shared_size>>>(threads, startNounce, (uint64_t*)d_hash, d_nonceVector); |
|
|
MyStreamSynchronize(NULL, order, thr_id); |
|
|
} |
|
|
|
|
|
|