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			312 lines
		
	
	
		
			13 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
			
		
		
	
	
			312 lines
		
	
	
		
			13 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
| #include <cstdio>
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| #include <vector>
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| #include <random>
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| #include <chrono>
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| #include <cstdlib>
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| #include <cmath>
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| #include <cassert>
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| #include <cstring>
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| #include <array>
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| 
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| #include <ggml.h>
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| 
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| #if defined(_MSC_VER)
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| #pragma warning(disable: 4244 4267) // possible loss of data
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| #endif
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| 
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| constexpr int kVecSize = 1 << 18;
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| 
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| static float drawFromGaussianPdf(std::mt19937& rndm) {
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|     constexpr double kScale = 1./(1. + std::mt19937::max());
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|     constexpr double kTwoPiTimesScale = 6.28318530717958647692*kScale;
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|     static float lastX;
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|     static bool haveX = false;
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|     if (haveX) { haveX = false; return lastX; }
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|     auto r = sqrt(-2*log(1 - kScale*rndm()));
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|     auto phi = kTwoPiTimesScale * rndm();
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|     lastX = r*sin(phi);
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|     haveX = true;
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|     return r*cos(phi);
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| }
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| 
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| static void fillRandomGaussianFloats(std::vector<float>& values, std::mt19937& rndm, float mean = 0) {
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|     for (auto& v : values) v = mean + drawFromGaussianPdf(rndm);
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| }
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| 
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| // Copy-pasted from ggml.c
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| #define QK4_0 32
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| typedef struct {
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|     float   d;          // delta
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|     uint8_t qs[QK4_0 / 2];  // nibbles / quants
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| } block_q4_0;
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| static_assert(sizeof(block_q4_0) == sizeof(float) + QK4_0 / 2, "wrong q4_0 block size/padding");
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| 
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| #define QK4_1 32
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| typedef struct {
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|     float   d;          // delta
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|     float   m;          // min
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|     uint8_t qs[QK4_1 / 2];  // nibbles / quants
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| } block_q4_1;
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| static_assert(sizeof(block_q4_1) == sizeof(float) * 2 + QK4_1 / 2, "wrong q4_1 block size/padding");
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| 
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| // Copy-pasted from ggml.c
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| #define QK8_0 32
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| typedef struct {
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|     float   d;          // delta
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|     int8_t  qs[QK8_0];  // quants
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| } block_q8_0;
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| static_assert(sizeof(block_q8_0) == sizeof(float) + QK8_0, "wrong q8_0 block size/padding");
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| 
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| // "Scalar" dot product between the quantized vector x and float vector y
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| inline double dot(int n, const block_q4_0* x, const float* y) {
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|     const static float kValues[16] = {-8.f, -7.f, -6.f, -5.f, -4.f, -3.f, -2.f, -1.f, 0.f, 1.f, 2.f, 3.f, 4.f, 5.f, 6.f, 7.f};
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|     constexpr uint32_t kMask1 = 0x0f0f0f0f;
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|     uint32_t u1, u2;
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|     auto q1 = (const uint8_t*)&u1;
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|     auto q2 = (const uint8_t*)&u2;
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|     double sum = 0;
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|     for (int i=0; i<n; ++i) {
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|         float d = x->d;
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|         auto u = (const uint32_t*)x->qs;
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|         float s = 0;
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|         for (int k=0; k<4; ++k) {
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|             u1 = u[k] & kMask1;
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|             u2 = (u[k] >> 4) & kMask1;
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|             s += y[0]*kValues[q1[0]] + y[1]*kValues[q2[0]] +
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|                  y[2]*kValues[q1[1]] + y[3]*kValues[q2[1]] +
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|                  y[4]*kValues[q1[2]] + y[5]*kValues[q2[2]] +
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|                  y[6]*kValues[q1[3]] + y[7]*kValues[q2[3]];
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|             y += 8;
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|         }
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|         sum += s*d;
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|         ++x;
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|     }
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|     return sum;
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| }
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| // Alternative version of the above. Faster on my Mac (~45 us vs ~55 us per dot product),
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| // but about the same on X86_64 (Ryzen 7950X CPU).
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| inline double dot3(int n, const block_q4_0* x, const float* y) {
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|     const static std::pair<float,float> kValues[256] = {
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|         {-8.f, -8.f}, {-7.f, -8.f}, {-6.f, -8.f}, {-5.f, -8.f}, {-4.f, -8.f}, {-3.f, -8.f}, {-2.f, -8.f}, {-1.f, -8.f},
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|         { 0.f, -8.f}, { 1.f, -8.f}, { 2.f, -8.f}, { 3.f, -8.f}, { 4.f, -8.f}, { 5.f, -8.f}, { 6.f, -8.f}, { 7.f, -8.f},
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|         {-8.f, -7.f}, {-7.f, -7.f}, {-6.f, -7.f}, {-5.f, -7.f}, {-4.f, -7.f}, {-3.f, -7.f}, {-2.f, -7.f}, {-1.f, -7.f},
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|         { 0.f, -7.f}, { 1.f, -7.f}, { 2.f, -7.f}, { 3.f, -7.f}, { 4.f, -7.f}, { 5.f, -7.f}, { 6.f, -7.f}, { 7.f, -7.f},
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|         {-8.f, -6.f}, {-7.f, -6.f}, {-6.f, -6.f}, {-5.f, -6.f}, {-4.f, -6.f}, {-3.f, -6.f}, {-2.f, -6.f}, {-1.f, -6.f},
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|         { 0.f, -6.f}, { 1.f, -6.f}, { 2.f, -6.f}, { 3.f, -6.f}, { 4.f, -6.f}, { 5.f, -6.f}, { 6.f, -6.f}, { 7.f, -6.f},
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|         {-8.f, -5.f}, {-7.f, -5.f}, {-6.f, -5.f}, {-5.f, -5.f}, {-4.f, -5.f}, {-3.f, -5.f}, {-2.f, -5.f}, {-1.f, -5.f},
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|         { 0.f, -5.f}, { 1.f, -5.f}, { 2.f, -5.f}, { 3.f, -5.f}, { 4.f, -5.f}, { 5.f, -5.f}, { 6.f, -5.f}, { 7.f, -5.f},
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|         {-8.f, -4.f}, {-7.f, -4.f}, {-6.f, -4.f}, {-5.f, -4.f}, {-4.f, -4.f}, {-3.f, -4.f}, {-2.f, -4.f}, {-1.f, -4.f},
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|         { 0.f, -4.f}, { 1.f, -4.f}, { 2.f, -4.f}, { 3.f, -4.f}, { 4.f, -4.f}, { 5.f, -4.f}, { 6.f, -4.f}, { 7.f, -4.f},
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|         {-8.f, -3.f}, {-7.f, -3.f}, {-6.f, -3.f}, {-5.f, -3.f}, {-4.f, -3.f}, {-3.f, -3.f}, {-2.f, -3.f}, {-1.f, -3.f},
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|         { 0.f, -3.f}, { 1.f, -3.f}, { 2.f, -3.f}, { 3.f, -3.f}, { 4.f, -3.f}, { 5.f, -3.f}, { 6.f, -3.f}, { 7.f, -3.f},
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|         {-8.f, -2.f}, {-7.f, -2.f}, {-6.f, -2.f}, {-5.f, -2.f}, {-4.f, -2.f}, {-3.f, -2.f}, {-2.f, -2.f}, {-1.f, -2.f},
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|         { 0.f, -2.f}, { 1.f, -2.f}, { 2.f, -2.f}, { 3.f, -2.f}, { 4.f, -2.f}, { 5.f, -2.f}, { 6.f, -2.f}, { 7.f, -2.f},
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|         {-8.f, -1.f}, {-7.f, -1.f}, {-6.f, -1.f}, {-5.f, -1.f}, {-4.f, -1.f}, {-3.f, -1.f}, {-2.f, -1.f}, {-1.f, -1.f},
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|         { 0.f, -1.f}, { 1.f, -1.f}, { 2.f, -1.f}, { 3.f, -1.f}, { 4.f, -1.f}, { 5.f, -1.f}, { 6.f, -1.f}, { 7.f, -1.f},
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|         {-8.f,  0.f}, {-7.f,  0.f}, {-6.f,  0.f}, {-5.f,  0.f}, {-4.f,  0.f}, {-3.f,  0.f}, {-2.f,  0.f}, {-1.f,  0.f},
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|         { 0.f,  0.f}, { 1.f,  0.f}, { 2.f,  0.f}, { 3.f,  0.f}, { 4.f,  0.f}, { 5.f,  0.f}, { 6.f,  0.f}, { 7.f,  0.f},
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|         {-8.f,  1.f}, {-7.f,  1.f}, {-6.f,  1.f}, {-5.f,  1.f}, {-4.f,  1.f}, {-3.f,  1.f}, {-2.f,  1.f}, {-1.f,  1.f},
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|         { 0.f,  1.f}, { 1.f,  1.f}, { 2.f,  1.f}, { 3.f,  1.f}, { 4.f,  1.f}, { 5.f,  1.f}, { 6.f,  1.f}, { 7.f,  1.f},
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|         {-8.f,  2.f}, {-7.f,  2.f}, {-6.f,  2.f}, {-5.f,  2.f}, {-4.f,  2.f}, {-3.f,  2.f}, {-2.f,  2.f}, {-1.f,  2.f},
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|         { 0.f,  2.f}, { 1.f,  2.f}, { 2.f,  2.f}, { 3.f,  2.f}, { 4.f,  2.f}, { 5.f,  2.f}, { 6.f,  2.f}, { 7.f,  2.f},
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|         {-8.f,  3.f}, {-7.f,  3.f}, {-6.f,  3.f}, {-5.f,  3.f}, {-4.f,  3.f}, {-3.f,  3.f}, {-2.f,  3.f}, {-1.f,  3.f},
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|         { 0.f,  3.f}, { 1.f,  3.f}, { 2.f,  3.f}, { 3.f,  3.f}, { 4.f,  3.f}, { 5.f,  3.f}, { 6.f,  3.f}, { 7.f,  3.f},
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|         {-8.f,  4.f}, {-7.f,  4.f}, {-6.f,  4.f}, {-5.f,  4.f}, {-4.f,  4.f}, {-3.f,  4.f}, {-2.f,  4.f}, {-1.f,  4.f},
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|         { 0.f,  4.f}, { 1.f,  4.f}, { 2.f,  4.f}, { 3.f,  4.f}, { 4.f,  4.f}, { 5.f,  4.f}, { 6.f,  4.f}, { 7.f,  4.f},
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|         {-8.f,  5.f}, {-7.f,  5.f}, {-6.f,  5.f}, {-5.f,  5.f}, {-4.f,  5.f}, {-3.f,  5.f}, {-2.f,  5.f}, {-1.f,  5.f},
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|         { 0.f,  5.f}, { 1.f,  5.f}, { 2.f,  5.f}, { 3.f,  5.f}, { 4.f,  5.f}, { 5.f,  5.f}, { 6.f,  5.f}, { 7.f,  5.f},
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|         {-8.f,  6.f}, {-7.f,  6.f}, {-6.f,  6.f}, {-5.f,  6.f}, {-4.f,  6.f}, {-3.f,  6.f}, {-2.f,  6.f}, {-1.f,  6.f},
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|         { 0.f,  6.f}, { 1.f,  6.f}, { 2.f,  6.f}, { 3.f,  6.f}, { 4.f,  6.f}, { 5.f,  6.f}, { 6.f,  6.f}, { 7.f,  6.f},
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|         {-8.f,  7.f}, {-7.f,  7.f}, {-6.f,  7.f}, {-5.f,  7.f}, {-4.f,  7.f}, {-3.f,  7.f}, {-2.f,  7.f}, {-1.f,  7.f},
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|         { 0.f,  7.f}, { 1.f,  7.f}, { 2.f,  7.f}, { 3.f,  7.f}, { 4.f,  7.f}, { 5.f,  7.f}, { 6.f,  7.f}, { 7.f,  7.f}
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|     };
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|     double sum = 0;
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|     for (int i=0; i<n; ++i) {
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|         float d = x->d;
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|         auto q = x->qs;
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|         float s = 0;
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|         for (int k=0; k<4; ++k) {
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|             s += y[0]*kValues[q[0]].first + y[1]*kValues[q[0]].second +
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|                  y[2]*kValues[q[1]].first + y[3]*kValues[q[1]].second +
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|                  y[4]*kValues[q[2]].first + y[5]*kValues[q[2]].second +
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|                  y[6]*kValues[q[3]].first + y[7]*kValues[q[3]].second;
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|             y += 8; q += 4;
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|         }
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|         sum += s*d;
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|         ++x;
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|     }
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|     return sum;
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| }
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| 
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| inline double dot41(int n, const block_q4_1* x, const float* y) {
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|     const static float kValues[16] = {0.f, 1.f, 2.f, 3.f, 4.f, 5.f, 6.f, 7.f, 8.f, 9.f, 10.f, 11.f, 12.f, 13.f, 14.f, 15.f};
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|     constexpr uint32_t kMask1 = 0x0f0f0f0f;
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|     uint32_t u1, u2;
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|     auto q1 = (const uint8_t*)&u1;
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|     auto q2 = (const uint8_t*)&u2;
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|     double sum = 0;
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|     for (int i=0; i<n; ++i) {
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|         auto u = (const uint32_t*)x->qs;
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|         float s = 0, s1 = 0;
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|         for (int k=0; k<4; ++k) {
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|             u1 = u[k] & kMask1;
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|             u2 = (u[k] >> 4) & kMask1;
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|             s += y[0]*kValues[q1[0]] + y[1]*kValues[q2[0]] +
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|                  y[2]*kValues[q1[1]] + y[3]*kValues[q2[1]] +
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|                  y[4]*kValues[q1[2]] + y[5]*kValues[q2[2]] +
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|                  y[6]*kValues[q1[3]] + y[7]*kValues[q2[3]];
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|             s1 += y[0] + y[1] + y[2] + y[3] + y[4] + y[5] + y[6] + y[7];
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|             y += 8;
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|         }
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|         sum += s*x->d + s1*x->m;
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|         ++x;
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|     }
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|     return sum;
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| }
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| 
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| // Copy-pasted from ggml.c
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| static void quantize_row_q8_0_reference(const float *x, block_q8_0 *y, int k) {
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|     assert(k % QK8_0 == 0);
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|     const int nb = k / QK8_0;
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| 
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|     for (int i = 0; i < nb; i++) {
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|         float amax = 0.0f; // absolute max
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| 
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|         for (int l = 0; l < QK8_0; l++) {
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|             const float v = x[i*QK8_0 + l];
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|             amax = std::max(amax, fabsf(v));
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|         }
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| 
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|         const float d = amax / ((1 << 7) - 1);
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|         const float id = d ? 1.0f/d : 0.0f;
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| 
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|         y[i].d = d;
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| 
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|         for (int l = 0; l < QK8_0; ++l) {
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|             const float   v  = x[i*QK8_0 + l]*id;
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|             y[i].qs[l] = roundf(v);
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|         }
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|     }
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| }
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| 
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| // Copy-pasted from ggml.c
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| static void dot_q4_q8(const int n, float* s, const void* vx, const void* vy) {
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|     const int nb = n / QK8_0;
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|     const block_q4_0* x = (const block_q4_0*)vx;
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|     const block_q8_0* y = (const block_q8_0*)vy;
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|     float sumf = 0;
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|     for (int i = 0; i < nb; i++) {
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|         const float d0 = x[i].d;
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|         const float d1 = y[i].d;
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| 
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|         const uint8_t * p0 = x[i].qs;
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|         const  int8_t * p1 = y[i].qs;
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| 
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|         int sumi = 0;
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|         for (int j = 0; j < QK8_0/2; j++) {
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|             const uint8_t v0 = p0[j];
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| 
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|             const int i0 = (int8_t) (v0 & 0xf) - 8;
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|             const int i1 = (int8_t) (v0 >> 4)  - 8;
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| 
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|             const int i2 = p1[2*j + 0];
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|             const int i3 = p1[2*j + 1];
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| 
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|             sumi += i0*i2 + i1*i3;
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|         }
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|         sumf += d0*d1*sumi;
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|     }
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|     *s = sumf;
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| }
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| 
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| int main(int argc, char** argv) {
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| 
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|     int nloop = argc > 1 ? atoi(argv[1]) : 10;
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|     bool scalar = argc > 2 ? atoi(argv[2]) : false;
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|     bool useQ4_1 = argc > 3 ? atoi(argv[3]) : false;
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| 
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|     if (scalar && useQ4_1) {
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|         printf("It is not possible to use Q4_1 quantization and scalar implementations\n");
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|         return 1;
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|     }
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| 
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|     std::mt19937 rndm(1234);
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| 
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|     std::vector<float> x1(kVecSize), y1(kVecSize);
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|     int n4 = useQ4_1 ? kVecSize / QK4_1 : kVecSize / QK4_0; n4 = 64*((n4 + 63)/64);
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|     int n8 = kVecSize / QK8_0; n8 = 64*((n8 + 63)/64);
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| 
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|     auto funcs = useQ4_1 ? ggml_internal_get_type_traits(GGML_TYPE_Q4_1) : ggml_internal_get_type_traits(GGML_TYPE_Q4_0);
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| 
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|     std::vector<block_q4_0> q40;
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|     std::vector<block_q4_1> q41;
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|     if (useQ4_1) q41.resize(n4);
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|     else q40.resize(n4);
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|     std::vector<block_q8_0> q8(n8);
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|     std::vector<int64_t> H(16, 0);
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|     double sumt = 0, sumt2 = 0, maxt = 0;
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|     double sumqt = 0, sumqt2 = 0, maxqt = 0;
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|     double sum = 0, sumq = 0, exactSum = 0;
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|     for (int iloop=0; iloop<nloop; ++iloop) {
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| 
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|         // Fill vector x with random numbers
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|         fillRandomGaussianFloats(x1, rndm);
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| 
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|         // Fill vector y with random numbers
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|         fillRandomGaussianFloats(y1, rndm);
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| 
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|         // Compute the exact dot product
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|         for (int k=0; k<kVecSize; ++k) exactSum += x1[k]*y1[k];
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| 
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|         // quantize x.
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|         // Note, we do not include this in the timing as in practical application
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|         // we already have the quantized model weights.
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|         if (useQ4_1) {
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|             funcs.from_float(x1.data(), q41.data(), kVecSize);
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|         } else {
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|             funcs.from_float(x1.data(), q40.data(), kVecSize);
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|         }
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| 
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|         // Now measure time the dot product needs using the "scalar" version above
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|         auto t1 = std::chrono::high_resolution_clock::now();
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|         if (useQ4_1) sum += dot41(kVecSize / QK4_1, q41.data(), y1.data());
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|         else sum += dot(kVecSize / QK4_0, q40.data(), y1.data());
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|         auto t2 = std::chrono::high_resolution_clock::now();
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|         auto t = 1e-3*std::chrono::duration_cast<std::chrono::nanoseconds>(t2-t1).count();
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|         sumt += t; sumt2 += t*t; maxt = std::max(maxt, t);
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| 
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|         // And now measure the time needed to quantize y and perform the dot product with the quantized y
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|         t1 = std::chrono::high_resolution_clock::now();
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|         float result;
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|         if (scalar) {
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|             quantize_row_q8_0_reference(y1.data(), q8.data(), kVecSize);
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|             dot_q4_q8(kVecSize, &result, q40.data(), q8.data());
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|         }
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|         else {
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|             auto vdot = ggml_internal_get_type_traits(funcs.vec_dot_type);
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|             vdot.from_float(y1.data(), q8.data(), kVecSize);
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|             if (useQ4_1) funcs.vec_dot(kVecSize, &result, q41.data(), q8.data());
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|             else funcs.vec_dot(kVecSize, &result, q40.data(), q8.data());
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|         }
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|         sumq += result;
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|         t2 = std::chrono::high_resolution_clock::now();
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|         t = 1e-3*std::chrono::duration_cast<std::chrono::nanoseconds>(t2-t1).count();
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|         sumqt += t; sumqt2 += t*t; maxqt = std::max(maxqt, t);
 | |
| 
 | |
|     }
 | |
| 
 | |
|     // Report the time (and the average of the dot products so the compiler does not come up with the idea
 | |
|     // of optimizing away the function calls after figuring that the result is not used).
 | |
|     sum /= nloop; sumq /= nloop;
 | |
|     exactSum /= nloop;
 | |
|     printf("Exact result: <dot> = %g\n",exactSum);
 | |
|     printf("<dot> = %g, %g\n",sum,sumq);
 | |
|     sumt /= nloop; sumt2 /= nloop; sumt2 -= sumt*sumt;
 | |
|     if (sumt2 > 0) sumt2 = sqrt(sumt2);
 | |
|     printf("time = %g +/- %g us. maxt = %g us\n",sumt,sumt2,maxt);
 | |
|     sumqt /= nloop; sumqt2 /= nloop; sumqt2 -= sumqt*sumqt;
 | |
|     if (sumqt2 > 0) sumqt2 = sqrt(sumqt2);
 | |
|     printf("timeq = %g +/- %g us. maxt = %g us\n",sumqt,sumqt2,maxqt);
 | |
|     return 0;
 | |
| }
 | 
