这就是信息演化计算中的一段代码只演示了一个单链条计算。如果你是一个对写C代码很强的人可能会挑出一堆问题觉得代码有问题。如果你很懂矩阵算法你会觉得计算有问题。如果你只是懂一部分物理也会觉得光电转换有问题。除非你懂声光电磁天体物理又对从芯片设计到仿真系统还要真正懂各类矩阵计算变换交换还要懂光学电学电磁学通讯原理可能看得出门道了。为写这一段代码我训练了一星期的AI。但是你不要想着用同样的方法去复现因为你不知道如何将这些学科门类进行集成融合并能用代码来进行编写。/* * 统一矩阵算力测试程序 * 包含3x3 / 6x6 / 7x7 / 9x9 / 10x10 矩阵-向量乘法 * 三层管道 光电转换修正管道 * 编译gcc -O3 -marchnative -ffast-math -stdc11 -fopenmp matrix_test.c -o matrix_test */ #include stdio.h #include stdlib.h #include time.h #include math.h #include omp.h // 常数 #define BETA 1.051814f #define KAPPA 1.003717f #define WARN_THRESHOLD 0.85f #define BLOCK_THRESHOLD 0.95f // 3x3 核心 static inline void mat3_mul(const float A[9], const float B[3], float C[3]) { C[0] A[0]*B[0] A[1]*B[1] A[2]*B[2]; C[1] A[3]*B[0] A[4]*B[1] A[5]*B[2]; C[2] A[6]*B[0] A[7]*B[1] A[8]*B[2]; } void compute_pipeline_3x3(const float *in, float *out, int n) { const float A[9] {1,0,0,0,1,0,0,0,1}; const float M[9] {2,1,0,1,2,1,0,1,2}; const float W[9] {0.5,0.3,0.2,0.2,0.6,0.2,0.1,0.1,0.8}; for (int i 0; i n; i 3) { float in_b[3], mid_b[3], out_b[3]; in_b[0]in[i]; in_b[1]in[i1]; in_b[2]in[i2]; mat3_mul(A, in_b, mid_b); mat3_mul(M, mid_b, out_b); mat3_mul(W, out_b, out[i]); } } // 6x6 核心 static inline void mat6_mul(const float A[36], const float B[6], float C[6]) { C[0] A[0]*B[0] A[1]*B[1] A[2]*B[2] A[3]*B[3] A[4]*B[4] A[5]*B[5]; C[1] A[6]*B[0] A[7]*B[1] A[8]*B[2] A[9]*B[3] A[10]*B[4] A[11]*B[5]; C[2] A[12]*B[0] A[13]*B[1] A[14]*B[2] A[15]*B[3] A[16]*B[4] A[17]*B[5]; C[3] A[18]*B[0] A[19]*B[1] A[20]*B[2] A[21]*B[3] A[22]*B[4] A[23]*B[5]; C[4] A[24]*B[0] A[25]*B[1] A[26]*B[2] A[27]*B[3] A[28]*B[4] A[29]*B[5]; C[5] A[30]*B[0] A[31]*B[1] A[32]*B[2] A[33]*B[3] A[34]*B[4] A[35]*B[5]; } void compute_pipeline_6x6(const float *in, float *out, int n) { const float A[36] { 1,0,0,0,0,0, 0,1,0,0,0,0, 0,0,1,0,0,0, 0,0,0,1,0,0, 0,0,0,0,1,0, 0,0,0,0,0,1 }; const float M[36] { 4,-1, 0,-1, 0, 0, -1, 4,-1, 0,-1, 0, 0,-1, 4, 0, 0,-1, -1, 0, 0, 4,-1, 0, 0,-1, 0,-1, 4,-1, 0, 0,-1, 0,-1, 4 }; const float W[36] { 1,0,0,0,0,0, 0,1,0,0,0,0, 0,0,1,0,0,0, 0,0,0,1,0,0, 0,0,0,0,1,0, 0,0,0,0,0,1 }; for (int i 0; i n; i 6) { float in_b[6], mid_b[6], out_b[6]; for (int k0; k6; k) in_b[k]in[ik]; mat6_mul(A, in_b, mid_b); mat6_mul(M, mid_b, out_b); mat6_mul(W, out_b, out[i]); } } // 7x7 核心密度判定管道 static inline void mat7_mul(const float A[49], const float B[7], float C[7]) { C[0]A[0]*B[0]A[1]*B[1]A[2]*B[2]A[3]*B[3]A[4]*B[4]A[5]*B[5]A[6]*B[6]; C[1]A[7]*B[0]A[8]*B[1]A[9]*B[2]A[10]*B[3]A[11]*B[4]A[12]*B[5]A[13]*B[6]; C[2]A[14]*B[0]A[15]*B[1]A[16]*B[2]A[17]*B[3]A[18]*B[4]A[19]*B[5]A[20]*B[6]; C[3]A[21]*B[0]A[22]*B[1]A[23]*B[2]A[24]*B[3]A[25]*B[4]A[26]*B[5]A[27]*B[6]; C[4]A[28]*B[0]A[29]*B[1]A[30]*B[2]A[31]*B[3]A[32]*B[4]A[33]*B[5]A[34]*B[6]; C[5]A[35]*B[0]A[36]*B[1]A[37]*B[2]A[38]*B[3]A[39]*B[4]A[40]*B[5]A[41]*B[6]; C[6]A[42]*B[0]A[43]*B[1]A[44]*B[2]A[45]*B[3]A[46]*B[4]A[47]*B[5]A[48]*B[6]; } void compute_pipeline_7x7(const float *in, float *out, int n) { const float A[49] { 1,0,0,0,0,0,0, 0,1,0,0,0,0,0, 0,0,1,0,0,0,0, 0,0,0,1,0,0,0, 0,0,0,0,1,0,0, 0,0,0,0,0,1,0, 0,0,0,0,0,0,1 }; // 7点拉普拉斯 const float M[49] { 4,-1,0,-1,0,0,0, -1,4,-1,0,-1,0,0, 0,-1,4,0,0,-1,0, -1,0,0,4,-1,0,-1, 0,-1,0,-1,4,-1,0, 0,0,-1,0,-1,4,-1, 0,0,0,-1,0,-1,4 }; const float W[49] { 1,0,0,0,0,0,0, 0,1,0,0,0,0,0, 0,0,1,0,0,0,0, 0,0,0,1,0,0,0, 0,0,0,0,1,0,0, 0,0,0,0,0,1,0, 0,0,0,0,0,0,1 }; for (int i 0; i n; i 7) { float in_b[7], mid_b[7], out_b[7]; for (int k0; k7; k) in_b[k]in[ik]; mat7_mul(A, in_b, mid_b); mat7_mul(M, mid_b, out_b); mat7_mul(W, out_b, out[i]); } } // 9x9 核心 static inline void mat9_mul(const float A[81], const float B[9], float C[9]) { C[0]A[0]*B[0]A[1]*B[1]A[2]*B[2]A[3]*B[3]A[4]*B[4]A[5]*B[5]A[6]*B[6]A[7]*B[7]A[8]*B[8]; C[1]A[9]*B[0]A[10]*B[1]A[11]*B[2]A[12]*B[3]A[13]*B[4]A[14]*B[5]A[15]*B[6]A[16]*B[7]A[17]*B[8]; C[2]A[18]*B[0]A[19]*B[1]A[20]*B[2]A[21]*B[3]A[22]*B[4]A[23]*B[5]A[24]*B[6]A[25]*B[7]A[26]*B[8]; C[3]A[27]*B[0]A[28]*B[1]A[29]*B[2]A[30]*B[3]A[31]*B[4]A[32]*B[5]A[33]*B[6]A[34]*B[7]A[35]*B[8]; C[4]A[36]*B[0]A[37]*B[1]A[38]*B[2]A[39]*B[3]A[40]*B[4]A[41]*B[5]A[42]*B[6]A[43]*B[7]A[44]*B[8]; C[5]A[45]*B[0]A[46]*B[1]A[47]*B[2]A[48]*B[3]A[49]*B[4]A[50]*B[5]A[51]*B[6]A[52]*B[7]A[53]*B[8]; C[6]A[54]*B[0]A[55]*B[1]A[56]*B[2]A[57]*B[3]A[58]*B[4]A[59]*B[5]A[60]*B[6]A[61]*B[7]A[62]*B[8]; C[7]A[63]*B[0]A[64]*B[1]A[65]*B[2]A[66]*B[3]A[67]*B[4]A[68]*B[5]A[69]*B[6]A[70]*B[7]A[71]*B[8]; C[8]A[72]*B[0]A[73]*B[1]A[74]*B[2]A[75]*B[3]A[76]*B[4]A[77]*B[5]A[78]*B[6]A[79]*B[7]A[80]*B[8]; } void compute_pipeline_9x9(const float *in, float *out, int n) { const float A[81] { 1,0,0,0,0,0,0,0,0, 0,1,0,0,0,0,0,0,0, 0,0,1,0,0,0,0,0,0, 0,0,0,1,0,0,0,0,0, 0,0,0,0,1,0,0,0,0, 0,0,0,0,0,1,0,0,0, 0,0,0,0,0,0,1,0,0, 0,0,0,0,0,0,0,1,0, 0,0,0,0,0,0,0,0,1 }; const float M[81] { 4,-1,0,-1,0,0,0,0,0, -1,4,-1,0,-1,0,0,0,0, 0,-1,4,0,0,-1,0,0,0, -1,0,0,4,-1,0,-1,0,0, 0,-1,0,-1,6,-1,0,-1,0, 0,0,-1,0,-1,4,0,0,-1, 0,0,0,-1,0,0,4,-1,0, 0,0,0,0,-1,0,-1,4,-1, 0,0,0,0,0,-1,0,-1,4 }; const float W[81] { 1,0,0,0,0,0,0,0,0, 0,1,0,0,0,0,0,0,0, 0,0,1,0,0,0,0,0,0, 0,0,0,1,0,0,0,0,0, 0,0,0,0,1,0,0,0,0, 0,0,0,0,0,1,0,0,0, 0,0,0,0,0,0,1,0,0, 0,0,0,0,0,0,0,1,0, 0,0,0,0,0,0,0,0,1 }; for (int i 0; i n; i 9) { float in_b[9], mid_b[9], out_b[9]; for (int k0; k9; k) in_b[k]in[ik]; mat9_mul(A, in_b, mid_b); mat9_mul(M, mid_b, out_b); mat9_mul(W, out_b, out[i]); } } // 10x10 核心 static inline void mat10_mul(const float A[100], const float B[10], float C[10]) { C[0]A[0]*B[0]A[1]*B[1]A[2]*B[2]A[3]*B[3]A[4]*B[4]A[5]*B[5]A[6]*B[6]A[7]*B[7]A[8]*B[8]A[9]*B[9]; C[1]A[10]*B[0]A[11]*B[1]A[12]*B[2]A[13]*B[3]A[14]*B[4]A[15]*B[5]A[16]*B[6]A[17]*B[7]A[18]*B[8]A[19]*B[9]; C[2]A[20]*B[0]A[21]*B[1]A[22]*B[2]A[23]*B[3]A[24]*B[4]A[25]*B[5]A[26]*B[6]A[27]*B[7]A[28]*B[8]A[29]*B[9]; C[3]A[30]*B[0]A[31]*B[1]A[32]*B[2]A[33]*B[3]A[34]*B[4]A[35]*B[5]A[36]*B[6]A[37]*B[7]A[38]*B[8]A[39]*B[9]; C[4]A[40]*B[0]A[41]*B[1]A[42]*B[2]A[43]*B[3]A[44]*B[4]A[45]*B[5]A[46]*B[6]A[47]*B[7]A[48]*B[8]A[49]*B[9]; C[5]A[50]*B[0]A[51]*B[1]A[52]*B[2]A[53]*B[3]A[54]*B[4]A[55]*B[5]A[56]*B[6]A[57]*B[7]A[58]*B[8]A[59]*B[9]; C[6]A[60]*B[0]A[61]*B[1]A[62]*B[2]A[63]*B[3]A[64]*B[4]A[65]*B[5]A[66]*B[6]A[67]*B[7]A[68]*B[8]A[69]*B[9]; C[7]A[70]*B[0]A[71]*B[1]A[72]*B[2]A[73]*B[3]A[74]*B[4]A[75]*B[5]A[76]*B[6]A[77]*B[7]A[78]*B[8]A[79]*B[9]; C[8]A[80]*B[0]A[81]*B[1]A[82]*B[2]A[83]*B[3]A[84]*B[4]A[85]*B[5]A[86]*B[6]A[87]*B[7]A[88]*B[8]A[89]*B[9]; C[9]A[90]*B[0]A[91]*B[1]A[92]*B[2]A[93]*B[3]A[94]*B[4]A[95]*B[5]A[96]*B[6]A[97]*B[7]A[98]*B[8]A[99]*B[9]; } void compute_pipeline_10x10(const float *in, float *out, int n) { const float A[100] { 1,0,0,0,0,0,0,0,0,0, 0,1,0,0,0,0,0,0,0,0, 0,0,1,0,0,0,0,0,0,0, 0,0,0,1,0,0,0,0,0,0, 0,0,0,0,1,0,0,0,0,0, 0,0,0,0,0,1,0,0,0,0, 0,0,0,0,0,0,1,0,0,0, 0,0,0,0,0,0,0,1,0,0, 0,0,0,0,0,0,0,0,1,0, 0,0,0,0,0,0,0,0,0,1 }; const float M[100] { 4,-1,0,-1,0,0,0,0,0,0, -1,4,-1,0,-1,0,0,0,0,0, 0,-1,4,0,0,-1,0,0,0,0, -1,0,0,4,-1,0,-1,0,0,0, 0,-1,0,-1,6,-1,0,-1,0,0, 0,0,-1,0,-1,4,0,0,-1,0, 0,0,0,-1,0,0,4,-1,0,-1, 0,0,0,0,-1,0,-1,4,-1,0, 0,0,0,0,0,-1,0,-1,4,-1, 0,0,0,0,0,0,-1,0,-1,4 }; const float W[100] { 1,0,0,0,0,0,0,0,0,0, 0,1,0,0,0,0,0,0,0,0, 0,0,1,0,0,0,0,0,0,0, 0,0,0,1,0,0,0,0,0,0, 0,0,0,0,1,0,0,0,0,0, 0,0,0,0,0,1,0,0,0,0, 0,0,0,0,0,0,1,0,0,0, 0,0,0,0,0,0,0,1,0,0, 0,0,0,0,0,0,0,0,1,0, 0,0,0,0,0,0,0,0,0,1 }; for (int i 0; i n; i 10) { float in_b[10], mid_b[10], out_b[10]; for (int k0; k10; k) in_b[k]in[ik]; mat10_mul(A, in_b, mid_b); mat10_mul(M, mid_b, out_b); mat10_mul(W, out_b, out[i]); } } // 光电转换管道 (6x6, 含材料修正) void photonic_electronic_pipeline(const float *opt_in, float *dig_out, int groups) { // 光电转换矩阵量子效率修正 1/beta^2, 串扰修正 1/beta^3 const float inv_beta2 1.0f / (BETA * BETA); const float inv_beta3 1.0f / (BETA * BETA * BETA); const float OE[36] { 0.85f*inv_beta2, 0.02f*inv_beta3, 0.01f*inv_beta3, 0,0,0, 0.02f*inv_beta3, 0.85f*inv_beta2, 0.02f*inv_beta3, 0.01f*inv_beta3,0,0, 0.01f*inv_beta3, 0.02f*inv_beta3, 0.85f*inv_beta2, 0.02f*inv_beta3,0.01f*inv_beta3,0, 0,0.01f*inv_beta3,0.02f*inv_beta3,0.85f*inv_beta2,0.02f*inv_beta3,0.01f*inv_beta3, 0,0,0.01f*inv_beta3,0.02f*inv_beta3,0.85f*inv_beta2,0.02f*inv_beta3, 0,0,0,0.01f*inv_beta3,0.02f*inv_beta3,0.85f*inv_beta2 }; const float A[36] { 1,0,0,0,0,0, 0,1,0,0,0,0, 0,0,1,0,0,0, 0,0,0,1,0,0, 0,0,0,0,1,0, 0,0,0,0,0,1 }; const float M[36] { 4,-1,0,-1,0,0, -1,4,-1,0,-1,0, 0,-1,4,0,0,-1, -1,0,0,4,-1,0, 0,-1,0,-1,4,-1, 0,0,-1,0,-1,4 }; const float W[36] { 1,0,0,0,0,0, 0,1,0,0,0,0, 0,0,1,0,0,0, 0,0,0,1,0,0, 0,0,0,0,1,0, 0,0,0,0,0,1 }; for (int i 0; i groups; i) { const float *opt_vec opt_in[i*6]; float elec[6], mid[6], out[6]; mat6_mul(OE, opt_vec, elec); mat6_mul(A, elec, mid); mat6_mul(M, mid, out); mat6_mul(W, out, dig_out[i*6]); } } // 主程序 int main() { int sizes[] {3, 6, 7, 9, 10}; int n_groups[] {100000000, 50000000, 40000000, 30000000, 20000000}; // 数据组数 printf(\n); printf( 统一矩阵算力测试 (含光电修正管道)\n); printf( 修正因子 beta%.6f, kappa%.6f\n, BETA, KAPPA); printf(\n\n); // 测试各尺寸管道 for (int s 0; s 5; s) { int dim sizes[s]; int groups n_groups[s]; int n_floats groups * dim; float *input (float*)aligned_alloc(64, n_floats * sizeof(float)); float *output (float*)aligned_alloc(64, n_floats * sizeof(float)); if (!input || !output) { printf(内存不足跳过 %d x %d\n, dim, dim); continue; } for (int i0; in_floats; i) input[i] (float)rand() / RAND_MAX; double start omp_get_wtime(); switch (dim) { case 3: compute_pipeline_3x3(input, output, n_floats); break; case 6: compute_pipeline_6x6(input, output, n_floats); break; case 7: compute_pipeline_7x7(input, output, n_floats); break; case 9: compute_pipeline_9x9(input, output, n_floats); break; case 10: compute_pipeline_10x10(input, output, n_floats); break; } double elapsed omp_get_wtime() - start; int flop_per_group (dim * dim * 2 - dim); // 乘法加法 long long total_flop (long long)groups * flop_per_group * 3; // 三层 double gflops total_flop / elapsed / 1e9; printf(%dx%d 管道: 组数%d, 耗时%.4fs, 算力%.2f GFLOPS\n, dim, dim, groups, elapsed, gflops); free(input); free(output); } // 测试光电转换管道 int opt_groups 50000000; int opt_floats opt_groups * 6; float *opt_in (float*)aligned_alloc(64, opt_floats * sizeof(float)); float *dig_out (float*)aligned_alloc(64, opt_floats * sizeof(float)); if (opt_in dig_out) { for (int i0; iopt_floats; i) opt_in[i] (float)rand() / RAND_MAX; double start omp_get_wtime(); photonic_electronic_pipeline(opt_in, dig_out, opt_groups); double elapsed omp_get_wtime() - start; // 光电管道1次OE 3层电域 4次6x6 long long total_flop (long long)opt_groups * 66 * 4; // 66 FLOP per 6x6 double gflops total_flop / elapsed / 1e9; printf(\n光电修正管道 (6x6): 组数%d, 耗时%.4fs, 算力%.2f GFLOPS\n, opt_groups, elapsed, gflops); free(opt_in); free(dig_out); } return 0; }