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ggml.c
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ggml.c
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#include "ggml.h"
#if defined(_MSC_VER) || defined(__MINGW32__)
#include <malloc.h> // using malloc.h with MSC/MINGW
#elif !defined(__FreeBSD__)
#include <alloca.h>
#endif
#include <assert.h>
#include <time.h>
#include <math.h>
#include <stdlib.h>
#include <string.h>
#include <stdint.h>
#include <stdio.h>
// if C99 - static_assert is noop
// ref: https://stackoverflow.com/a/53923785/4039976
#ifndef static_assert
#define static_assert(cond, msg) struct global_scope_noop_trick
#endif
#if defined _MSC_VER || defined(__MINGW32__)
#if !defined(__MINGW32__)
#include <Windows.h>
#else
// ref: https://github.com/ggerganov/whisper.cpp/issues/168
#include <windows.h>
#include <errno.h>
#endif
typedef volatile LONG atomic_int;
typedef atomic_int atomic_bool;
static void atomic_store(atomic_int* ptr, LONG val) {
InterlockedExchange(ptr, val);
}
static LONG atomic_load(atomic_int* ptr) {
return InterlockedCompareExchange(ptr, 0, 0);
}
static LONG atomic_fetch_add(atomic_int* ptr, LONG inc) {
return InterlockedExchangeAdd(ptr, inc);
}
static LONG atomic_fetch_sub(atomic_int* ptr, LONG dec) {
return atomic_fetch_add(ptr, -(dec));
}
typedef HANDLE pthread_t;
typedef DWORD thread_ret_t;
static int pthread_create(pthread_t* out, void* unused, thread_ret_t(*func)(void*), void* arg) {
HANDLE handle = CreateThread(NULL, 0, (LPTHREAD_START_ROUTINE) func, arg, 0, NULL);
if (handle == NULL)
{
return EAGAIN;
}
*out = handle;
return 0;
}
static int pthread_join(pthread_t thread, void* unused) {
return (int) WaitForSingleObject(thread, INFINITE);
}
static int sched_yield (void) {
Sleep (0);
return 0;
}
#else
#include <pthread.h>
#include <stdatomic.h>
typedef void* thread_ret_t;
#endif
#ifdef __HAIKU__
#define static_assert(cond, msg) _Static_assert(cond, msg)
#endif
#define GGML_DEBUG 0
#define GGML_GELU_FP16
#if UINTPTR_MAX == 0xFFFFFFFF
#define GGML_MEM_ALIGN 4
#else
#define GGML_MEM_ALIGN 16
#endif
#define MAX(a, b) ((a) > (b) ? (a) : (b))
#define MIN(a, b) ((a) < (b) ? (a) : (b))
#define UNUSED(x) (void)(x)
#define SWAP(x, y, T) do { T SWAP = x; x = y; y = SWAP; } while (0)
#define GGML_ASSERT(x) \
do { \
if (!(x)) { \
fprintf(stderr, "GGML_ASSERT: %s:%d: %s\n", __FILE__, __LINE__, #x); \
abort(); \
} \
} while (0)
#ifdef GGML_USE_ACCELERATE
#include <Accelerate/Accelerate.h>
#elif GGML_USE_OPENBLAS
#include <cblas.h>
#endif
// floating point type used to accumulate sums
typedef double ggml_float;
// 16-bit float
// on Arm, we use __fp16
// on x86, we use uint16_t
#ifdef __ARM_NEON
// if YCM cannot find <arm_neon.h>, make a symbolic link to it, for example:
//
// $ ln -sfn /Library/Developer/CommandLineTools/usr/lib/clang/13.1.6/include/arm_neon.h ./src/
//
#include <arm_neon.h>
float ggml_fp16_to_fp32(ggml_fp16_t x) {
return x;
}
ggml_fp16_t ggml_fp32_to_fp16(float x) {
return x;
}
#define GGML_FP16_TO_FP32(x) (x)
#define GGML_FP32_TO_FP16(x) (x)
#else
#ifdef __wasm_simd128__
#include <wasm_simd128.h>
#else
#include <immintrin.h>
#endif
#ifdef __F16C__
float ggml_fp16_to_fp32(ggml_fp16_t h) {
return _cvtsh_ss(h);
}
ggml_fp16_t ggml_fp32_to_fp16(float f) {
return _cvtss_sh(f, 0);
}
#define GGML_FP16_TO_FP32(x) _cvtsh_ss(x)
#define GGML_FP32_TO_FP16(x) _cvtss_sh(x, 0)
#else
// FP16 <-> FP32
// ref: https://github.com/Maratyszcza/FP16
static inline float fp32_from_bits(uint32_t w) {
union {
uint32_t as_bits;
float as_value;
} fp32;
fp32.as_bits = w;
return fp32.as_value;
}
static inline uint32_t fp32_to_bits(float f) {
union {
float as_value;
uint32_t as_bits;
} fp32;
fp32.as_value = f;
return fp32.as_bits;
}
float ggml_fp16_to_fp32(ggml_fp16_t h) {
const uint32_t w = (uint32_t) h << 16;
const uint32_t sign = w & UINT32_C(0x80000000);
const uint32_t two_w = w + w;
const uint32_t exp_offset = UINT32_C(0xE0) << 23;
#if defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 199901L) || defined(__GNUC__) && !defined(__STRICT_ANSI__)
const float exp_scale = 0x1.0p-112f;
#else
const float exp_scale = fp32_from_bits(UINT32_C(0x7800000));
#endif
const float normalized_value = fp32_from_bits((two_w >> 4) + exp_offset) * exp_scale;
const uint32_t magic_mask = UINT32_C(126) << 23;
const float magic_bias = 0.5f;
const float denormalized_value = fp32_from_bits((two_w >> 17) | magic_mask) - magic_bias;
const uint32_t denormalized_cutoff = UINT32_C(1) << 27;
const uint32_t result = sign |
(two_w < denormalized_cutoff ? fp32_to_bits(denormalized_value) : fp32_to_bits(normalized_value));
return fp32_from_bits(result);
}
ggml_fp16_t ggml_fp32_to_fp16(float f) {
#if defined(__STDC_VERSION__) && (__STDC_VERSION__ >= 199901L) || defined(__GNUC__) && !defined(__STRICT_ANSI__)
const float scale_to_inf = 0x1.0p+112f;
const float scale_to_zero = 0x1.0p-110f;
#else
const float scale_to_inf = fp32_from_bits(UINT32_C(0x77800000));
const float scale_to_zero = fp32_from_bits(UINT32_C(0x08800000));
#endif
float base = (fabsf(f) * scale_to_inf) * scale_to_zero;
const uint32_t w = fp32_to_bits(f);
const uint32_t shl1_w = w + w;
const uint32_t sign = w & UINT32_C(0x80000000);
uint32_t bias = shl1_w & UINT32_C(0xFF000000);
if (bias < UINT32_C(0x71000000)) {
bias = UINT32_C(0x71000000);
}
base = fp32_from_bits((bias >> 1) + UINT32_C(0x07800000)) + base;
const uint32_t bits = fp32_to_bits(base);
const uint32_t exp_bits = (bits >> 13) & UINT32_C(0x00007C00);
const uint32_t mantissa_bits = bits & UINT32_C(0x00000FFF);
const uint32_t nonsign = exp_bits + mantissa_bits;
return (sign >> 16) | (shl1_w > UINT32_C(0xFF000000) ? UINT16_C(0x7E00) : nonsign);
}
#define GGML_FP16_TO_FP32(x) ggml_fp16_to_fp32(x)
#define GGML_FP32_TO_FP16(x) ggml_fp32_to_fp16(x)
#endif // __F16C__
#endif // __ARM_NEON
//
// global data
//
// precomputed gelu table for f16 (128 KB)
static ggml_fp16_t table_gelu_f16[1 << 16];
// precomputed exp table for f16 (128 KB)
static ggml_fp16_t table_exp_f16[1 << 16];
//
// timing
//
#if defined(_MSC_VER) || defined(__MINGW32__)
static int64_t timer_freq;
void ggml_time_init(void) {
LARGE_INTEGER frequency;
QueryPerformanceFrequency(&frequency);
timer_freq = frequency.QuadPart;
}
int64_t ggml_time_ms(void) {
LARGE_INTEGER t;
QueryPerformanceCounter(&t);
return (t.QuadPart * 1000) / timer_freq;
}
int64_t ggml_time_us(void) {
LARGE_INTEGER t;
QueryPerformanceCounter(&t);
return (t.QuadPart * 1000000) / timer_freq;
}
#else
void ggml_time_init(void) {}
int64_t ggml_time_ms(void) {
struct timespec ts;
clock_gettime(CLOCK_MONOTONIC, &ts);
return (int64_t)ts.tv_sec*1000 + (int64_t)ts.tv_nsec/1000000;
}
int64_t ggml_time_us(void) {
struct timespec ts;
clock_gettime(CLOCK_MONOTONIC, &ts);
return (int64_t)ts.tv_sec*1000000 + (int64_t)ts.tv_nsec/1000;
}
#endif
int64_t ggml_cycles(void) {
return clock();
}
int64_t ggml_cycles_per_ms(void) {
return CLOCKS_PER_SEC/1000;
}
#ifdef GGML_PERF
#define ggml_perf_time_ms() ggml_time_ms()
#define ggml_perf_time_us() ggml_time_us()
#define ggml_perf_cycles() ggml_cycles()
#define ggml_perf_cycles_per_ms() ggml_cycles_per_ms()
#else
#define ggml_perf_time_ms() 0
#define ggml_perf_time_us() 0
#define ggml_perf_cycles() 0
#define ggml_perf_cycles_per_ms() 0
#endif
//
// cache line
//
#if defined(__cpp_lib_hardware_interference_size)
#define CACHE_LINE_SIZE hardware_destructive_interference_size
#else
#define CACHE_LINE_SIZE 64
#endif
const size_t CACHE_LINE_SIZE_F32 = CACHE_LINE_SIZE/sizeof(float);
//
// fundamental operations
//
inline static void ggml_vec_set_i8(const int n, int8_t * x, const int8_t v) { for (int i = 0; i < n; ++i) x[i] = v; }
inline static void ggml_vec_set_i16(const int n, int16_t * x, const int16_t v) { for (int i = 0; i < n; ++i) x[i] = v; }
inline static void ggml_vec_set_i32(const int n, int32_t * x, const int32_t v) { for (int i = 0; i < n; ++i) x[i] = v; }
inline static void ggml_vec_set_f16(const int n, ggml_fp16_t * x, const int32_t v) { for (int i = 0; i < n; ++i) x[i] = v; }
inline static void ggml_vec_add_f32 (const int n, float * z, const float * x, const float * y) { for (int i = 0; i < n; ++i) z[i] = x[i] + y[i]; }
inline static void ggml_vec_acc_f32 (const int n, float * y, const float * x) { for (int i = 0; i < n; ++i) y[i] += x[i]; }
inline static void ggml_vec_acc1_f32(const int n, float * y, const float v) { for (int i = 0; i < n; ++i) y[i] += v; }
inline static void ggml_vec_sub_f32 (const int n, float * z, const float * x, const float * y) { for (int i = 0; i < n; ++i) z[i] = x[i] - y[i]; }
inline static void ggml_vec_set_f32 (const int n, float * x, const float v) { for (int i = 0; i < n; ++i) x[i] = v; }
inline static void ggml_vec_cpy_f32 (const int n, float * y, const float * x) { for (int i = 0; i < n; ++i) y[i] = x[i]; }
inline static void ggml_vec_neg_f32 (const int n, float * y, const float * x) { for (int i = 0; i < n; ++i) y[i] = -x[i]; }
inline static void ggml_vec_mul_f32 (const int n, float * z, const float * x, const float * y) { for (int i = 0; i < n; ++i) z[i] = x[i]*y[i]; }
inline static void ggml_vec_div_f32 (const int n, float * z, const float * x, const float * y) { for (int i = 0; i < n; ++i) z[i] = x[i]/y[i]; }
inline static void ggml_vec_dot_f32(const int n, float * restrict s, const float * restrict x, const float * restrict y) {
ggml_float sumf = 0.0;
#if defined(__ARM_NEON) && defined(__ARM_FEATURE_FMA)
// NEON 128-bit
const int n16 = (n & ~15);
float32x4_t sum0 = vdupq_n_f32(0);
float32x4_t sum1 = vdupq_n_f32(0);
float32x4_t sum2 = vdupq_n_f32(0);
float32x4_t sum3 = vdupq_n_f32(0);
float32x4_t x0, x1, x2, x3;
float32x4_t y0, y1, y2, y3;
for (int i = 0; i < n16; i += 16) {
x0 = vld1q_f32(x + i + 0);
x1 = vld1q_f32(x + i + 4);
x2 = vld1q_f32(x + i + 8);
x3 = vld1q_f32(x + i + 12);
y0 = vld1q_f32(y + i + 0);
y1 = vld1q_f32(y + i + 4);
y2 = vld1q_f32(y + i + 8);
y3 = vld1q_f32(y + i + 12);
sum0 = vfmaq_f32(sum0, x0, y0);
sum1 = vfmaq_f32(sum1, x1, y1);
sum2 = vfmaq_f32(sum2, x2, y2);
sum3 = vfmaq_f32(sum3, x3, y3);
}
// reduce sum0..sum3 to sum0
sum0 = vaddq_f32(sum0, sum1);
sum2 = vaddq_f32(sum2, sum3);
sum0 = vaddq_f32(sum0, sum2);
float32x2_t sumf32 = vadd_f32(vget_low_f32(sum0), vget_high_f32(sum0));
sumf = vget_lane_f32(sumf32, 0) + vget_lane_f32(sumf32, 1);
// leftovers
for (int i = n16; i < n; ++i) {
sumf += x[i]*y[i];
}
#elif defined(__AVX2__)
// AVX 256-bit
const int n32 = (n & ~31);
__m256 sum0 = _mm256_setzero_ps();
__m256 sum1 = _mm256_setzero_ps();
__m256 sum2 = _mm256_setzero_ps();
__m256 sum3 = _mm256_setzero_ps();
__m256 x0, x1, x2, x3;
__m256 y0, y1, y2, y3;
for (int i = 0; i < n32; i += 32) {
x0 = _mm256_loadu_ps(x + i + 0);
x1 = _mm256_loadu_ps(x + i + 8);
x2 = _mm256_loadu_ps(x + i + 16);
x3 = _mm256_loadu_ps(x + i + 24);
y0 = _mm256_loadu_ps(y + i + 0);
y1 = _mm256_loadu_ps(y + i + 8);
y2 = _mm256_loadu_ps(y + i + 16);
y3 = _mm256_loadu_ps(y + i + 24);
sum0 = _mm256_fmadd_ps(x0, y0, sum0);
sum1 = _mm256_fmadd_ps(x1, y1, sum1);
sum2 = _mm256_fmadd_ps(x2, y2, sum2);
sum3 = _mm256_fmadd_ps(x3, y3, sum3);
}
sum0 = _mm256_add_ps(sum0, sum1);
sum2 = _mm256_add_ps(sum2, sum3);
sum0 = _mm256_add_ps(sum0, sum2);
const __m128 r4 = _mm_add_ps(_mm256_castps256_ps128(sum0), _mm256_extractf128_ps(sum0, 1));
const __m128 r2 = _mm_add_ps(r4, _mm_movehl_ps(r4, r4));
const __m128 r1 = _mm_add_ss(r2, _mm_movehdup_ps(r2));
sumf = _mm_cvtss_f32(r1);
// leftovers
for (int i = n32; i < n; ++i) {
sumf += x[i]*y[i];
}
#elif defined(__AVX__)
// AVX 256-bit
const int n32 = (n & ~31);
__m256 sum0 = _mm256_setzero_ps();
__m256 sum1 = _mm256_setzero_ps();
__m256 sum2 = _mm256_setzero_ps();
__m256 sum3 = _mm256_setzero_ps();
__m256 x0, x1, x2, x3;
__m256 y0, y1, y2, y3;
for (int i = 0; i < n32; i += 32) {
x0 = _mm256_loadu_ps(x + i + 0);
x1 = _mm256_loadu_ps(x + i + 8);
x2 = _mm256_loadu_ps(x + i + 16);
x3 = _mm256_loadu_ps(x + i + 24);
y0 = _mm256_loadu_ps(y + i + 0);
y1 = _mm256_loadu_ps(y + i + 8);
y2 = _mm256_loadu_ps(y + i + 16);
y3 = _mm256_loadu_ps(y + i + 24);
sum0 = _mm256_add_ps(_mm256_mul_ps(x0, y0), sum0);
sum1 = _mm256_add_ps(_mm256_mul_ps(x1, y1), sum1);
sum2 = _mm256_add_ps(_mm256_mul_ps(x2, y2), sum2);
sum3 = _mm256_add_ps(_mm256_mul_ps(x3, y3), sum3);
}
sum0 = _mm256_add_ps(sum0, sum1);
sum2 = _mm256_add_ps(sum2, sum3);
sum0 = _mm256_add_ps(sum0, sum2);
const __m128 r4 = _mm_add_ps(_mm256_castps256_ps128(sum0), _mm256_extractf128_ps(sum0, 1));
const __m128 r2 = _mm_add_ps(r4, _mm_movehl_ps(r4, r4));
const __m128 r1 = _mm_add_ss(r2, _mm_movehdup_ps(r2));
sumf = _mm_cvtss_f32(r1);
// leftovers
for (int i = n32; i < n; ++i) {
sumf += x[i]*y[i];
}
#elif defined(__wasm_simd128__)
// WASM 128-bit
const int n16 = (n & ~15);
v128_t sum0 = wasm_f32x4_splat(0);
v128_t sum1 = wasm_f32x4_splat(0);
v128_t sum2 = wasm_f32x4_splat(0);
v128_t sum3 = wasm_f32x4_splat(0);
v128_t x0, x1, x2, x3;
v128_t y0, y1, y2, y3;
for (int i = 0; i < n16; i += 16) {
x0 = wasm_v128_load(x + i + 0);
x1 = wasm_v128_load(x + i + 4);
x2 = wasm_v128_load(x + i + 8);
x3 = wasm_v128_load(x + i + 12);
y0 = wasm_v128_load(y + i + 0);
y1 = wasm_v128_load(y + i + 4);
y2 = wasm_v128_load(y + i + 8);
y3 = wasm_v128_load(y + i + 12);
sum0 = wasm_f32x4_add(sum0, wasm_f32x4_mul(x0, y0));
sum1 = wasm_f32x4_add(sum1, wasm_f32x4_mul(x1, y1));
sum2 = wasm_f32x4_add(sum2, wasm_f32x4_mul(x2, y2));
sum3 = wasm_f32x4_add(sum3, wasm_f32x4_mul(x3, y3));
}
sum0 = wasm_f32x4_add(sum0, sum1);
sum2 = wasm_f32x4_add(sum2, sum3);
sum0 = wasm_f32x4_add(sum0, sum2);
sumf = wasm_f32x4_extract_lane(sum0, 0) + wasm_f32x4_extract_lane(sum0, 1) + wasm_f32x4_extract_lane(sum0, 2) + wasm_f32x4_extract_lane(sum0, 3);
// leftovers
for (int i = n16; i < n; ++i) {
sumf += x[i]*y[i];
}
#else
// scalar
for (int i = 0; i < n; ++i) {
sumf += x[i]*y[i];
}
#endif
*s = sumf;
}
inline static void ggml_vec_dot_f16(const int n, float * restrict s, ggml_fp16_t * restrict x, ggml_fp16_t * restrict y) {
ggml_float sumf = 0.0;
#if defined(__ARM_NEON) && defined(__ARM_FEATURE_FMA)
const int n32 = (n & ~31);
#if defined(__ARM_FEATURE_FP16_VECTOR_ARITHMETIC)
float16x8_t sum0 = vdupq_n_f16(0);
float16x8_t sum1 = vdupq_n_f16(0);
float16x8_t sum2 = vdupq_n_f16(0);
float16x8_t sum3 = vdupq_n_f16(0);
float16x8_t x0, x1, x2, x3;
float16x8_t y0, y1, y2, y3;
for (int i = 0; i < n32; i += 32) {
x0 = vld1q_f16(x + i + 0 );
x1 = vld1q_f16(x + i + 8 );
x2 = vld1q_f16(x + i + 16);
x3 = vld1q_f16(x + i + 24);
y0 = vld1q_f16(y + i + 0 );
y1 = vld1q_f16(y + i + 8 );
y2 = vld1q_f16(y + i + 16);
y3 = vld1q_f16(y + i + 24);
sum0 = vfmaq_f16(sum0, x0, y0);
sum1 = vfmaq_f16(sum1, x1, y1);
sum2 = vfmaq_f16(sum2, x2, y2);
sum3 = vfmaq_f16(sum3, x3, y3);
}
// reduce sum0..sum3 to sum0
sum0 = vaddq_f16(sum0, sum1);
sum2 = vaddq_f16(sum2, sum3);
sum0 = vaddq_f16(sum0, sum2);
// load sum0 into 2 float32x4_t
float32x4_t sum0f32 = vcvt_f32_f16(vget_low_f16(sum0));
float32x4_t sum1f32 = vcvt_f32_f16(vget_high_f16(sum0));
// reduce sum0f32 and sum1f32 to sumf
sum0f32 = vaddq_f32(sum0f32, sum1f32);
float32x2_t sumf32 = vadd_f32(vget_low_f32(sum0f32), vget_high_f32(sum0f32));
sumf = vget_lane_f32(sumf32, 0) + vget_lane_f32(sumf32, 1);
#else
float32x4_t sum0 = vdupq_n_f32(0);
float32x4_t sum1 = vdupq_n_f32(0);
float32x4_t sum2 = vdupq_n_f32(0);
float32x4_t sum3 = vdupq_n_f32(0);
float32x4_t sum4 = vdupq_n_f32(0);
float32x4_t sum5 = vdupq_n_f32(0);
float32x4_t sum6 = vdupq_n_f32(0);
float32x4_t sum7 = vdupq_n_f32(0);
float32x4_t x0, x1, x2, x3, x4, x5, x6, x7;
float32x4_t y0, y1, y2, y3, y4, y5, y6, y7;
for (int i = 0; i < n32; i += 32) {
x0 = vcvt_f32_f16(vld1_f16(x + i + 0 ));
x1 = vcvt_f32_f16(vld1_f16(x + i + 4 ));
x2 = vcvt_f32_f16(vld1_f16(x + i + 8 ));
x3 = vcvt_f32_f16(vld1_f16(x + i + 12));
x4 = vcvt_f32_f16(vld1_f16(x + i + 16));
x5 = vcvt_f32_f16(vld1_f16(x + i + 20));
x6 = vcvt_f32_f16(vld1_f16(x + i + 24));
x7 = vcvt_f32_f16(vld1_f16(x + i + 28));
y0 = vcvt_f32_f16(vld1_f16(y + i + 0 ));
y1 = vcvt_f32_f16(vld1_f16(y + i + 4 ));
y2 = vcvt_f32_f16(vld1_f16(y + i + 8 ));
y3 = vcvt_f32_f16(vld1_f16(y + i + 12));
y4 = vcvt_f32_f16(vld1_f16(y + i + 16));
y5 = vcvt_f32_f16(vld1_f16(y + i + 20));
y6 = vcvt_f32_f16(vld1_f16(y + i + 24));
y7 = vcvt_f32_f16(vld1_f16(y + i + 28));
sum0 = vfmaq_f32(sum0, x0, y0);
sum1 = vfmaq_f32(sum1, x1, y1);
sum2 = vfmaq_f32(sum2, x2, y2);
sum3 = vfmaq_f32(sum3, x3, y3);
sum4 = vfmaq_f32(sum4, x4, y4);
sum5 = vfmaq_f32(sum5, x5, y5);
sum6 = vfmaq_f32(sum6, x6, y6);
sum7 = vfmaq_f32(sum7, x7, y7);
}
// reduce sum0..sum7 to sum0
sum0 = vaddq_f32(sum0, sum1);
sum2 = vaddq_f32(sum2, sum3);
sum4 = vaddq_f32(sum4, sum5);
sum6 = vaddq_f32(sum6, sum7);
sum0 = vaddq_f32(sum0, sum2);
sum4 = vaddq_f32(sum4, sum6);
sum0 = vaddq_f32(sum0, sum4);
// reduce sum0 to sumf
float32x2_t sumf32 = vadd_f32(vget_low_f32(sum0), vget_high_f32(sum0));
sumf = vget_lane_f32(sumf32, 0) + vget_lane_f32(sumf32, 1);
#endif
// leftovers
for (int i = n32; i < n; ++i) {
sumf += GGML_FP16_TO_FP32(x[i])*GGML_FP16_TO_FP32(y[i]);
}
#elif defined(__AVX2__)
// AVX 256-bit
const int n32 = (n & ~31);
__m256 sum0 = _mm256_setzero_ps();
__m256 sum1 = _mm256_setzero_ps();
__m256 sum2 = _mm256_setzero_ps();
__m256 sum3 = _mm256_setzero_ps();
__m256 x0, x1, x2, x3;
__m256 y0, y1, y2, y3;
for (int i = 0; i < n32; i += 32) {
x0 = _mm256_cvtph_ps(_mm_loadu_si128((__m128i*)(x + i + 0 )));
x1 = _mm256_cvtph_ps(_mm_loadu_si128((__m128i*)(x + i + 8 )));
x2 = _mm256_cvtph_ps(_mm_loadu_si128((__m128i*)(x + i + 16)));
x3 = _mm256_cvtph_ps(_mm_loadu_si128((__m128i*)(x + i + 24)));
y0 = _mm256_cvtph_ps(_mm_loadu_si128((__m128i*)(y + i + 0 )));
y1 = _mm256_cvtph_ps(_mm_loadu_si128((__m128i*)(y + i + 8 )));
y2 = _mm256_cvtph_ps(_mm_loadu_si128((__m128i*)(y + i + 16)));
y3 = _mm256_cvtph_ps(_mm_loadu_si128((__m128i*)(y + i + 24)));
sum0 = _mm256_fmadd_ps(x0, y0, sum0);
sum1 = _mm256_fmadd_ps(x1, y1, sum1);
sum2 = _mm256_fmadd_ps(x2, y2, sum2);
sum3 = _mm256_fmadd_ps(x3, y3, sum3);
}
const __m256 sum01 = _mm256_add_ps(sum0, sum1);
const __m256 sum23 = _mm256_add_ps(sum2, sum3);
const __m256 sum0123 = _mm256_add_ps(sum01, sum23);
const __m128 r4 = _mm_add_ps(_mm256_castps256_ps128(sum0123), _mm256_extractf128_ps(sum0123, 1));
const __m128 r2 = _mm_add_ps(r4, _mm_movehl_ps(r4, r4));
const __m128 r1 = _mm_add_ss(r2, _mm_movehdup_ps(r2));
sumf = _mm_cvtss_f32(r1);
// leftovers
for (int i = n32; i < n; ++i) {
//GGML_ASSERT(false);
sumf += GGML_FP16_TO_FP32(x[i])*GGML_FP16_TO_FP32(y[i]);
}
#elif defined(__AVX__)
// AVX 256-bit
const int n32 = (n & ~31);
__m256 sum0 = _mm256_setzero_ps();
__m256 sum1 = _mm256_setzero_ps();
__m256 sum2 = _mm256_setzero_ps();
__m256 sum3 = _mm256_setzero_ps();
__m256 x0, x1, x2, x3;
__m256 y0, y1, y2, y3;
for (int i = 0; i < n32; i += 32) {
x0 = _mm256_cvtph_ps(_mm_loadu_si128((__m128i*)(x + i + 0 )));
x1 = _mm256_cvtph_ps(_mm_loadu_si128((__m128i*)(x + i + 8 )));
x2 = _mm256_cvtph_ps(_mm_loadu_si128((__m128i*)(x + i + 16)));
x3 = _mm256_cvtph_ps(_mm_loadu_si128((__m128i*)(x + i + 24)));
y0 = _mm256_cvtph_ps(_mm_loadu_si128((__m128i*)(y + i + 0 )));
y1 = _mm256_cvtph_ps(_mm_loadu_si128((__m128i*)(y + i + 8 )));
y2 = _mm256_cvtph_ps(_mm_loadu_si128((__m128i*)(y + i + 16)));
y3 = _mm256_cvtph_ps(_mm_loadu_si128((__m128i*)(y + i + 24)));
sum0 = _mm256_add_ps(_mm256_mul_ps(x0, y0), sum0);
sum1 = _mm256_add_ps(_mm256_mul_ps(x1, y1), sum1);
sum2 = _mm256_add_ps(_mm256_mul_ps(x2, y2), sum2);
sum3 = _mm256_add_ps(_mm256_mul_ps(x3, y3), sum3);
}
const __m256 sum01 = _mm256_add_ps(sum0, sum1);
const __m256 sum23 = _mm256_add_ps(sum2, sum3);
const __m256 sum0123 = _mm256_add_ps(sum01, sum23);
const __m128 r4 = _mm_add_ps(_mm256_castps256_ps128(sum0123), _mm256_extractf128_ps(sum0123, 1));
const __m128 r2 = _mm_add_ps(r4, _mm_movehl_ps(r4, r4));
const __m128 r1 = _mm_add_ss(r2, _mm_movehdup_ps(r2));
sumf = _mm_cvtss_f32(r1);
// leftovers
for (int i = n32; i < n; ++i) {
//GGML_ASSERT(false);
sumf += GGML_FP16_TO_FP32(x[i])*GGML_FP16_TO_FP32(y[i]);
}
#elif defined(__wasm_simd128__)
// WASM 128-bit
const int n16 = (n & ~15);
v128_t sum0 = wasm_f32x4_splat(0.0f);
v128_t sum1 = wasm_f32x4_splat(0.0f);
v128_t sum2 = wasm_f32x4_splat(0.0f);
v128_t sum3 = wasm_f32x4_splat(0.0f);
v128_t x0, x1, x2, x3;
v128_t y0, y1, y2, y3;
float tx[16];
float ty[16];
for (int i = 0; i < n16; i += 16) {
for (int k = 0; k < 16; ++k) {
tx[k] = GGML_FP16_TO_FP32(x[i + k]);
ty[k] = GGML_FP16_TO_FP32(y[i + k]);
}
x0 = wasm_v128_load(tx + 0);
x1 = wasm_v128_load(tx + 4);
x2 = wasm_v128_load(tx + 8);
x3 = wasm_v128_load(tx + 12);
y0 = wasm_v128_load(ty + 0);
y1 = wasm_v128_load(ty + 4);
y2 = wasm_v128_load(ty + 8);
y3 = wasm_v128_load(ty + 12);
sum0 = wasm_f32x4_add(sum0, wasm_f32x4_mul(x0, y0));
sum1 = wasm_f32x4_add(sum1, wasm_f32x4_mul(x1, y1));
sum2 = wasm_f32x4_add(sum2, wasm_f32x4_mul(x2, y2));
sum3 = wasm_f32x4_add(sum3, wasm_f32x4_mul(x3, y3));
}
sum0 = wasm_f32x4_add(sum0, sum1);
sum2 = wasm_f32x4_add(sum2, sum3);
sum0 = wasm_f32x4_add(sum0, sum2);
sumf = wasm_f32x4_extract_lane(sum0, 0) + wasm_f32x4_extract_lane(sum0, 1) + wasm_f32x4_extract_lane(sum0, 2) + wasm_f32x4_extract_lane(sum0, 3);
// leftovers
for (int i = n16; i < n; ++i) {
//GGML_ASSERT(false);
sumf += GGML_FP16_TO_FP32(x[i])*GGML_FP16_TO_FP32(y[i]);
}
#else
for (int i = 0; i < n; ++i) {
sumf += GGML_FP16_TO_FP32(x[i])*GGML_FP16_TO_FP32(y[i]);
}
#endif
*s = sumf;
}
inline static void ggml_vec_mad_f32(const int n, float * restrict y, const float * restrict x, const float v) {
#if defined(__ARM_NEON) && defined(__ARM_FEATURE_FMA)
// NEON 128-bit
const int n16 = (n & ~15);
const float32x4_t v4 = vdupq_n_f32(v);
float32x4_t x0, x1, x2, x3;
float32x4_t y0, y1, y2, y3;
for (int i = 0; i < n16; i += 16) {
x0 = vld1q_f32(x + i + 0);
x1 = vld1q_f32(x + i + 4);
x2 = vld1q_f32(x + i + 8);
x3 = vld1q_f32(x + i + 12);
y0 = vld1q_f32(y + i + 0);
y1 = vld1q_f32(y + i + 4);
y2 = vld1q_f32(y + i + 8);
y3 = vld1q_f32(y + i + 12);
y0 = vfmaq_f32(y0, x0, v4);
y1 = vfmaq_f32(y1, x1, v4);
y2 = vfmaq_f32(y2, x2, v4);
y3 = vfmaq_f32(y3, x3, v4);
vst1q_f32(y + i + 0, y0);
vst1q_f32(y + i + 4, y1);
vst1q_f32(y + i + 8, y2);
vst1q_f32(y + i + 12, y3);
}
// leftovers
for (int i = n16; i < n; ++i) {
y[i] += x[i]*v;
}
#elif defined(__AVX2__)
// AVX 256-bit
const int n32 = (n & ~31);
const __m256 v4 = _mm256_set1_ps(v);
__m256 x0, x1, x2, x3;
__m256 y0, y1, y2, y3;
for (int i = 0; i < n32; i += 32) {
x0 = _mm256_loadu_ps(x + i + 0);
x1 = _mm256_loadu_ps(x + i + 8);
x2 = _mm256_loadu_ps(x + i + 16);
x3 = _mm256_loadu_ps(x + i + 24);
y0 = _mm256_loadu_ps(y + i + 0);
y1 = _mm256_loadu_ps(y + i + 8);
y2 = _mm256_loadu_ps(y + i + 16);
y3 = _mm256_loadu_ps(y + i + 24);
y0 = _mm256_fmadd_ps(x0, v4, y0);
y1 = _mm256_fmadd_ps(x1, v4, y1);
y2 = _mm256_fmadd_ps(x2, v4, y2);
y3 = _mm256_fmadd_ps(x3, v4, y3);
_mm256_storeu_ps(y + i + 0, y0);
_mm256_storeu_ps(y + i + 8, y1);
_mm256_storeu_ps(y + i + 16, y2);
_mm256_storeu_ps(y + i + 24, y3);
}
// leftovers
for (int i = n32; i < n; ++i) {
y[i] += x[i]*v;
}
#elif defined(__AVX__)
// AVX 256-bit
const int n32 = (n & ~31);
const __m256 v4 = _mm256_set1_ps(v);
__m256 x0, x1, x2, x3;
__m256 y0, y1, y2, y3;
for (int i = 0; i < n32; i += 32) {
x0 = _mm256_loadu_ps(x + i + 0);
x1 = _mm256_loadu_ps(x + i + 8);
x2 = _mm256_loadu_ps(x + i + 16);
x3 = _mm256_loadu_ps(x + i + 24);
y0 = _mm256_loadu_ps(y + i + 0);
y1 = _mm256_loadu_ps(y + i + 8);
y2 = _mm256_loadu_ps(y + i + 16);
y3 = _mm256_loadu_ps(y + i + 24);
y0 = _mm256_add_ps(_mm256_mul_ps(x0, v4), y0);
y1 = _mm256_add_ps(_mm256_mul_ps(x1, v4), y1);
y2 = _mm256_add_ps(_mm256_mul_ps(x2, v4), y2);
y3 = _mm256_add_ps(_mm256_mul_ps(x3, v4), y3);
_mm256_storeu_ps(y + i + 0, y0);
_mm256_storeu_ps(y + i + 8, y1);
_mm256_storeu_ps(y + i + 16, y2);
_mm256_storeu_ps(y + i + 24, y3);
}
// leftovers
for (int i = n32; i < n; ++i) {
y[i] += x[i]*v;
}
#elif defined(__wasm_simd128__)
// WASM SIMD 128-bit
const int n16 = (n & ~15);
const v128_t v4 = wasm_f32x4_splat(v);
v128_t x0, x1, x2, x3;
v128_t y0, y1, y2, y3;
for (int i = 0; i < n16; i += 16) {
x0 = wasm_v128_load(x + i + 0);
x1 = wasm_v128_load(x + i + 4);
x2 = wasm_v128_load(x + i + 8);
x3 = wasm_v128_load(x + i + 12);
y0 = wasm_v128_load(y + i + 0);
y1 = wasm_v128_load(y + i + 4);
y2 = wasm_v128_load(y + i + 8);
y3 = wasm_v128_load(y + i + 12);
y0 = wasm_f32x4_add(y0, wasm_f32x4_mul(x0, v4));
y1 = wasm_f32x4_add(y1, wasm_f32x4_mul(x1, v4));
y2 = wasm_f32x4_add(y2, wasm_f32x4_mul(x2, v4));
y3 = wasm_f32x4_add(y3, wasm_f32x4_mul(x3, v4));
wasm_v128_store(y + i + 0, y0);
wasm_v128_store(y + i + 4, y1);
wasm_v128_store(y + i + 8, y2);
wasm_v128_store(y + i + 12, y3);
}
// leftovers
for (int i = n16; i < n; ++i) {
y[i] += x[i]*v;
}
#else
// scalar
for (int i = 0; i < n; ++i) {
y[i] += x[i]*v;
}
#endif
}
inline static void ggml_vec_mad_f16(const int n, ggml_fp16_t * restrict y, ggml_fp16_t * restrict x, const float v) {
#if defined(__ARM_NEON) && defined(__ARM_FEATURE_FMA)
// NEON 128-bit
const int n32 = (n & ~31);
#if defined(__ARM_FEATURE_FP16_VECTOR_ARITHMETIC)
const float16x8_t v8 = vdupq_n_f16(v);
float16x8_t x0, x1, x2, x3;
float16x8_t y0, y1, y2, y3;
for (int i = 0; i < n32; i += 32) {
y0 = vld1q_f16(y + i + 0 );
y1 = vld1q_f16(y + i + 8 );
y2 = vld1q_f16(y + i + 16);
y3 = vld1q_f16(y + i + 24);
x0 = vld1q_f16(x + i + 0 );
x1 = vld1q_f16(x + i + 8 );
x2 = vld1q_f16(x + i + 16);
x3 = vld1q_f16(x + i + 24);
y0 = vfmaq_f16(y0, x0, v8);
y1 = vfmaq_f16(y1, x1, v8);
y2 = vfmaq_f16(y2, x2, v8);
y3 = vfmaq_f16(y3, x3, v8);
vst1q_f16(y + i + 0 , y0);
vst1q_f16(y + i + 8 , y1);
vst1q_f16(y + i + 16, y2);
vst1q_f16(y + i + 24, y3);
}
#else
const float32x4_t v40 = vdupq_n_f32(v);
const float32x4_t v41 = vdupq_n_f32(v);
float32x4_t x0, x1, x2, x3, x4, x5, x6, x7;
float32x4_t y0, y1, y2, y3, y4, y5, y6, y7;
for (int i = 0; i < n32; i += 32) {
y0 = vcvt_f32_f16(vld1_f16(y + i + 0 ));
y1 = vcvt_f32_f16(vld1_f16(y + i + 4 ));
y2 = vcvt_f32_f16(vld1_f16(y + i + 8 ));
y3 = vcvt_f32_f16(vld1_f16(y + i + 12));
y4 = vcvt_f32_f16(vld1_f16(y + i + 16));
y5 = vcvt_f32_f16(vld1_f16(y + i + 20));
y6 = vcvt_f32_f16(vld1_f16(y + i + 24));
y7 = vcvt_f32_f16(vld1_f16(y + i + 28));
x0 = vcvt_f32_f16(vld1_f16(x + i + 0 ));
x1 = vcvt_f32_f16(vld1_f16(x + i + 4 ));
x2 = vcvt_f32_f16(vld1_f16(x + i + 8 ));
x3 = vcvt_f32_f16(vld1_f16(x + i + 12));
x4 = vcvt_f32_f16(vld1_f16(x + i + 16));
x5 = vcvt_f32_f16(vld1_f16(x + i + 20));
x6 = vcvt_f32_f16(vld1_f16(x + i + 24));
x7 = vcvt_f32_f16(vld1_f16(x + i + 28));
y0 = vfmaq_f32(y0, x0, v40);
y1 = vfmaq_f32(y1, x1, v40);
y2 = vfmaq_f32(y2, x2, v40);
y3 = vfmaq_f32(y3, x3, v40);
y4 = vfmaq_f32(y4, x4, v41);
y5 = vfmaq_f32(y5, x5, v41);
y6 = vfmaq_f32(y6, x6, v41);
y7 = vfmaq_f32(y7, x7, v41);
vst1_f16(y + i + 0 , vcvt_f16_f32(y0));
vst1_f16(y + i + 4 , vcvt_f16_f32(y1));
vst1_f16(y + i + 8 , vcvt_f16_f32(y2));
vst1_f16(y + i + 12, vcvt_f16_f32(y3));
vst1_f16(y + i + 16, vcvt_f16_f32(y4));
vst1_f16(y + i + 20, vcvt_f16_f32(y5));
vst1_f16(y + i + 24, vcvt_f16_f32(y6));
vst1_f16(y + i + 28, vcvt_f16_f32(y7));
}
#endif
// leftovers
for (int i = n32; i < n; ++i) {
GGML_ASSERT(false);
y[i] = GGML_FP32_TO_FP16(GGML_FP16_TO_FP32(y[i]) + GGML_FP16_TO_FP32(x[i])*v);
}
#elif defined(__AVX2__)
// AVX 256-bit
const int n32 = (n & ~31);
const __m256 v8 = _mm256_set1_ps(v);
__m256 x0, x1, x2, x3;