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754 lines
21 KiB
754 lines
21 KiB
#pragma once
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//
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// GGML Tensor Library
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//
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// This documentation is still a work in progress.
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// If you wish some specific topics to be covered, feel free to drop a comment:
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//
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// https://github.com/ggerganov/whisper.cpp/issues/40
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//
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// ## Overview
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//
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// This library implements:
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//
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// - a set of tensor operations
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// - automatic differentiation
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// - basic optimization algorithms
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//
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// The aim of this library is to provide a minimalistic approach for various machine learning tasks. This includes,
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// but is not limited to, the following:
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//
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// - linear regression
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// - support vector machines
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// - neural networks
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//
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// The library allows the user to define a certain function using the available tensor operations. This function
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// definition is represented internally via a computation graph. Each tensor operation in the function definition
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// corresponds to a node in the graph. Having the computation graph defined, the user can choose to compute the
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// function's value and/or its gradient with respect to the input variables. Optionally, the function can be optimized
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// using one of the available optimization algorithms.
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//
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// For example, here we define the function: f(x) = a*x^2 + b
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//
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// {
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// struct ggml_init_params params = {
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// .mem_size = 16*1024*1024,
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// .mem_buffer = NULL,
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// };
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//
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// // memory allocation happens here
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// struct ggml_context * ctx = ggml_init(params);
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//
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// struct ggml_tensor * x = ggml_new_tensor_1d(ctx, GGML_TYPE_F32, 1);
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//
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// ggml_set_param(ctx, x); // x is an input variable
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//
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// struct ggml_tensor * a = ggml_new_tensor_1d(ctx, GGML_TYPE_F32, 1);
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// struct ggml_tensor * b = ggml_new_tensor_1d(ctx, GGML_TYPE_F32, 1);
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// struct ggml_tensor * x2 = ggml_mul(ctx, x, x);
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// struct ggml_tensor * f = ggml_add(ctx, ggml_mul(ctx, a, x2), b);
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//
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// ...
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// }
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//
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// Notice that the function definition above does not involve any actual computation. The computation is performed only
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// when the user explicitly requests it. For example, to compute the function's value at x = 2.0:
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//
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// {
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// ...
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//
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// struct ggml_cgraph gf = ggml_build_forward(f);
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//
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// // set the input variable and parameter values
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// ggml_set_f32(x, 2.0f);
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// ggml_set_f32(a, 3.0f);
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// ggml_set_f32(b, 4.0f);
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//
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// ggml_graph_compute(ctx0, &gf);
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//
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// printf("f = %f\n", ggml_get_f32_1d(f, 0));
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//
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// ...
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// }
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//
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// The actual computation is performed in the ggml_graph_compute() function.
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//
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// The ggml_new_tensor_...() functions create new tensors. They are allocated in the memory buffer provided to the
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// ggml_init() function. You have to be careful not to exceed the memory buffer size. Therefore, you have to know
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// in advance how much memory you need for your computation. Alternatively, you can allocate a large enough memory
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// and after defining the computation graph, call the ggml_used_mem() function to find out how much memory was
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// actually needed.
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//
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// The ggml_set_param() function marks a tensor as an input variable. This is used by the automatic
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// differentiation and optimization algorithms.
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//
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// The described approach allows to define the function graph once and then compute its forward or backward graphs
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// multiple times. All computations will use the same memory buffer allocated in the ggml_init() function. This way
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// the user can avoid the memory allocation overhead at runtime.
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//
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// The library supports multi-dimensional tensors - up to 4 dimensions. The FP16 and FP32 data types are first class
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// citizens, but in theory the library can be extended to support FP8 and integer data types.
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//
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// Each tensor operation produces a new tensor. Initially the library was envisioned to support only the use of unary
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// and binary operations. Most of the available operations fall into one of these two categories. With time, it became
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// clear that the library needs to support more complex operations. The way to support these operations is not clear
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// yet, but a few examples are demonstrated in the following operations:
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//
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// - ggml_permute()
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// - ggml_conv_1d_1s()
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// - ggml_conv_1d_2s()
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//
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// For each tensor operator, the library implements a forward and backward computation function. The forward function
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// computes the output tensor value given the input tensor values. The backward function computes the adjoint of the
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// input tensors given the adjoint of the output tensor. For a detailed explanation of what this means, take a
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// calculus class, or watch the following video:
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//
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// What is Automatic Differentiation?
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// https://www.youtube.com/watch?v=wG_nF1awSSY
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//
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//
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// ## Tensor data (struct ggml_tensor)
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//
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// The tensors are stored in memory via the ggml_tensor struct. The structure provides information about the size of
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// the tensor, the data type, and the memory buffer where the tensor data is stored. Additionally, it contains
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// pointers to the "source" tensors - i.e. the tensors that were used to compute the current tensor. For example:
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//
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// {
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// struct ggml_tensor * c = ggml_add(ctx, a, b);
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//
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// assert(c->src[0] == a);
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// assert(c->src[1] == b);
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// }
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//
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// The multi-dimensional tensors are stored in row-major order. The ggml_tensor struct contains fields for the
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// number of elements in each dimension ("ne") as well as the number of bytes ("nb", a.k.a. stride). This allows
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// to store tensors that are not contiguous in memory, which is useful for operations such as transposition and
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// permutation. All tensor operations have to take the stride into account and not assume that the tensor is
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// contiguous in memory.
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//
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// The data of the tensor is accessed via the "data" pointer. For example:
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//
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// {
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// struct ggml_tensor * a = ggml_new_tensor_2d(ctx, GGML_TYPE_F32, 2, 3);
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//
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// // a[1, 2] = 1.0f;
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// *(float *) ((char *) a->data + 2*a->nb[1] + 1*a->nb[0]) = 1.0f;
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//
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// // a[2, 0] = 2.0f;
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// *(float *) ((char *) a->data + 0*a->nb[1] + 2*a->nb[0]) = 2.0f;
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//
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// ...
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// }
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//
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// Alternatively, there are helper functions, such as ggml_get_f32_1d() and ggml_set_f32_1d() that can be used.
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//
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// ## The matrix multiplication operator (ggml_mul_mat)
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//
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// TODO
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//
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//
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// ## Multi-threading
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//
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// TODO
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//
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//
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// ## Overview of ggml.c
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//
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// TODO
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//
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//
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// ## SIMD optimizations
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//
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// TODO
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//
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//
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// ## Debugging ggml
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//
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// TODO
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//
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//
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#ifdef __cplusplus
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extern "C" {
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#endif
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#include <stdint.h>
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#include <stddef.h>
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#include <stdbool.h>
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#define GGML_MAX_DIMS 4
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#define GGML_MAX_NODES 4096
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#define GGML_MAX_PARAMS 16
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#define GGML_MAX_CONTEXTS 64
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#define GGML_MAX_OPT 4
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#ifdef __ARM_NEON
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// we use the built-in 16-bit float type
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typedef __fp16 ggml_fp16_t;
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#else
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typedef uint16_t ggml_fp16_t;
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#endif
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// convert FP16 <-> FP32
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float ggml_fp16_to_fp32(ggml_fp16_t x);
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ggml_fp16_t ggml_fp32_to_fp16(float x);
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struct ggml_object;
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struct ggml_context;
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enum ggml_type {
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GGML_TYPE_Q4_0,
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GGML_TYPE_Q4_1,
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GGML_TYPE_I8,
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GGML_TYPE_I16,
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GGML_TYPE_I32,
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GGML_TYPE_F16,
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GGML_TYPE_F32,
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GGML_TYPE_COUNT,
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};
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// available tensor operations:
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enum ggml_op {
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GGML_OP_NONE = 0,
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GGML_OP_DUP,
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GGML_OP_ADD,
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GGML_OP_SUB,
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GGML_OP_MUL,
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GGML_OP_DIV,
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GGML_OP_SQR,
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GGML_OP_SQRT,
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GGML_OP_SUM,
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GGML_OP_MEAN,
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GGML_OP_REPEAT,
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GGML_OP_ABS,
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GGML_OP_SGN,
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GGML_OP_NEG,
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GGML_OP_STEP,
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GGML_OP_RELU,
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GGML_OP_GELU,
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GGML_OP_NORM, // normalize
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GGML_OP_MUL_MAT,
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GGML_OP_SCALE,
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GGML_OP_CPY,
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GGML_OP_RESHAPE,
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GGML_OP_VIEW,
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GGML_OP_PERMUTE,
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GGML_OP_TRANSPOSE,
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GGML_OP_GET_ROWS,
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GGML_OP_DIAG_MASK_INF,
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GGML_OP_SOFT_MAX,
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GGML_OP_ROPE,
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GGML_OP_CONV_1D_1S,
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GGML_OP_CONV_1D_2S,
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GGML_OP_FLASH_ATTN,
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GGML_OP_FLASH_FF,
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GGML_OP_COUNT,
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};
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// n-dimensional tensor
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struct ggml_tensor {
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enum ggml_type type;
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int n_dims;
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int ne[GGML_MAX_DIMS]; // number of elements
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size_t nb[GGML_MAX_DIMS]; // stride in bytes:
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// nb[0] = sizeof(type)
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// nb[1] = nb[0] * ne[0] + padding
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// nb[i] = nb[i-1] * ne[i-1]
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// compute data
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enum ggml_op op;
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bool is_param;
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struct ggml_tensor * grad;
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struct ggml_tensor * src0;
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struct ggml_tensor * src1;
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struct ggml_tensor * opt[GGML_MAX_OPT];
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// thread scheduling
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int n_tasks;
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// performance
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int perf_runs;
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int64_t perf_cycles;
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int64_t perf_time_us;
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void * data;
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char padding[8];
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};
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// computation graph
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struct ggml_cgraph {
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int n_nodes;
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int n_leafs;
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int n_threads;
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size_t work_size;
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struct ggml_tensor * work;
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struct ggml_tensor * nodes[GGML_MAX_NODES];
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struct ggml_tensor * grads[GGML_MAX_NODES];
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struct ggml_tensor * leafs[GGML_MAX_NODES];
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// performance
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int perf_runs;
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int64_t perf_cycles;
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int64_t perf_time_us;
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};
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// scratch buffer
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struct ggml_scratch {
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size_t offs;
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size_t size;
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void * data;
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};
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struct ggml_init_params {
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// memory pool
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size_t mem_size; // bytes
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void * mem_buffer; // if NULL, memory will be allocated internally
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};
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void ggml_time_init(void); // call this once at the beginning of the program
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int64_t ggml_time_ms(void);
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int64_t ggml_time_us(void);
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int64_t ggml_cycles(void);
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int64_t ggml_cycles_per_ms(void);
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void ggml_print_object (const struct ggml_object * obj);
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void ggml_print_objects(const struct ggml_context * ctx);
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int ggml_nelements(const struct ggml_tensor * tensor);
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size_t ggml_nbytes (const struct ggml_tensor * tensor);
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int ggml_blck_size (enum ggml_type type);
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size_t ggml_type_size (enum ggml_type type); // size in bytes for all elements in a block
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float ggml_type_sizef(enum ggml_type type); // ggml_type_size()/ggml_blck_size() as float
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size_t ggml_element_size(const struct ggml_tensor * tensor);
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struct ggml_context * ggml_init(struct ggml_init_params params);
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void ggml_free(struct ggml_context * ctx);
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size_t ggml_used_mem(const struct ggml_context * ctx);
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size_t ggml_set_scratch(struct ggml_context * ctx, struct ggml_scratch scratch);
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struct ggml_tensor * ggml_new_tensor(
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struct ggml_context * ctx,
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enum ggml_type type,
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int n_dims,
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const int *ne);
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struct ggml_tensor * ggml_new_tensor_1d(
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struct ggml_context * ctx,
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enum ggml_type type,
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int ne0);
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struct ggml_tensor * ggml_new_tensor_2d(
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struct ggml_context * ctx,
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enum ggml_type type,
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int ne0,
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int ne1);
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struct ggml_tensor * ggml_new_tensor_3d(
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struct ggml_context * ctx,
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enum ggml_type type,
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int ne0,
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int ne1,
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int ne2);
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struct ggml_tensor * ggml_new_tensor_4d(
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struct ggml_context * ctx,
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enum ggml_type type,
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int ne0,
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int ne1,
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int ne2,
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int ne3);
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struct ggml_tensor * ggml_new_i32(struct ggml_context * ctx, int32_t value);
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struct ggml_tensor * ggml_new_f32(struct ggml_context * ctx, float value);
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struct ggml_tensor * ggml_dup_tensor (struct ggml_context * ctx, const struct ggml_tensor * src);
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struct ggml_tensor * ggml_view_tensor(struct ggml_context * ctx, const struct ggml_tensor * src);
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struct ggml_tensor * ggml_set_zero(struct ggml_tensor * tensor);
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struct ggml_tensor * ggml_set_i32 (struct ggml_tensor * tensor, int32_t value);
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struct ggml_tensor * ggml_set_f32 (struct ggml_tensor * tensor, float value);
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int32_t ggml_get_i32_1d(const struct ggml_tensor * tensor, int i);
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void ggml_set_i32_1d(const struct ggml_tensor * tensor, int i, int32_t value);
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float ggml_get_f32_1d(const struct ggml_tensor * tensor, int i);
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void ggml_set_f32_1d(const struct ggml_tensor * tensor, int i, float value);
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void * ggml_get_data (const struct ggml_tensor * tensor);
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float * ggml_get_data_f32(const struct ggml_tensor * tensor);
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//
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// operations on tensors with backpropagation
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//
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struct ggml_tensor * ggml_dup(
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struct ggml_context * ctx,
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struct ggml_tensor * a);
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struct ggml_tensor * ggml_add(
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struct ggml_context * ctx,
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struct ggml_tensor * a,
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struct ggml_tensor * b);
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struct ggml_tensor * ggml_sub(
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struct ggml_context * ctx,
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struct ggml_tensor * a,
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struct ggml_tensor * b);
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struct ggml_tensor * ggml_mul(
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struct ggml_context * ctx,
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struct ggml_tensor * a,
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struct ggml_tensor * b);
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struct ggml_tensor * ggml_div(
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struct ggml_context * ctx,
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struct ggml_tensor * a,
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struct ggml_tensor * b);
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struct ggml_tensor * ggml_sqr(
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struct ggml_context * ctx,
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struct ggml_tensor * a);
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struct ggml_tensor * ggml_sqrt(
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struct ggml_context * ctx,
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struct ggml_tensor * a);
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// return scalar
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// TODO: compute sum along rows
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struct ggml_tensor * ggml_sum(
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struct ggml_context * ctx,
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struct ggml_tensor * a);
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// mean along rows
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struct ggml_tensor * ggml_mean(
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struct ggml_context * ctx,
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struct ggml_tensor * a);
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// if a is the same shape as b, and a is not parameter, return a
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// otherwise, return a new tensor: repeat(a) to fit in b
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struct ggml_tensor * ggml_repeat(
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struct ggml_context * ctx,
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struct ggml_tensor * a,
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struct ggml_tensor * b);
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struct ggml_tensor * ggml_abs(
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struct ggml_context * ctx,
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struct ggml_tensor * a);
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struct ggml_tensor * ggml_sgn(
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struct ggml_context * ctx,
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struct ggml_tensor * a);
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struct ggml_tensor * ggml_neg(
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struct ggml_context * ctx,
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struct ggml_tensor * a);
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struct ggml_tensor * ggml_step(
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struct ggml_context * ctx,
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struct ggml_tensor * a);
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struct ggml_tensor * ggml_relu(
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struct ggml_context * ctx,
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struct ggml_tensor * a);
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// TODO: double-check this computation is correct
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struct ggml_tensor * ggml_gelu(
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struct ggml_context * ctx,
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struct ggml_tensor * a);
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// normalize along rows
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// TODO: eps is hardcoded to 1e-5 for now
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struct ggml_tensor * ggml_norm(
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struct ggml_context * ctx,
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struct ggml_tensor * a);
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// A: m rows, n columns
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// B: p rows, n columns (i.e. we transpose it internally)
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// result is m columns, p rows
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struct ggml_tensor * ggml_mul_mat(
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struct ggml_context * ctx,
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struct ggml_tensor * a,
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struct ggml_tensor * b);
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//
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// operations on tensors without backpropagation
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//
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// in-place, returns view(a)
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struct ggml_tensor * ggml_scale(
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struct ggml_context * ctx,
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struct ggml_tensor * a,
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struct ggml_tensor * b);
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// a -> b, return view(b)
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struct ggml_tensor * ggml_cpy(
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struct ggml_context * ctx,
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struct ggml_tensor * a,
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struct ggml_tensor * b);
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|
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// return view(a), b specifies the new shape
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// TODO: when we start computing gradient, make a copy instead of view
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struct ggml_tensor * ggml_reshape(
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struct ggml_context * ctx,
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struct ggml_tensor * a,
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struct ggml_tensor * b);
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// return view(a)
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// TODO: when we start computing gradient, make a copy instead of view
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struct ggml_tensor * ggml_reshape_2d(
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struct ggml_context * ctx,
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struct ggml_tensor * a,
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int ne0,
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int ne1);
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// return view(a)
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// TODO: when we start computing gradient, make a copy instead of view
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struct ggml_tensor * ggml_reshape_3d(
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struct ggml_context * ctx,
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struct ggml_tensor * a,
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int ne0,
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int ne1,
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int ne2);
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// offset in bytes
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struct ggml_tensor * ggml_view_1d(
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struct ggml_context * ctx,
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struct ggml_tensor * a,
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int ne0,
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size_t offset);
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struct ggml_tensor * ggml_view_2d(
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struct ggml_context * ctx,
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struct ggml_tensor * a,
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int ne0,
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int ne1,
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size_t nb1, // row stride in bytes
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size_t offset);
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struct ggml_tensor * ggml_permute(
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struct ggml_context * ctx,
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struct ggml_tensor * a,
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int axis0,
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int axis1,
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int axis2,
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int axis3);
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// alias for ggml_permute(ctx, a, 1, 0, 2, 3)
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struct ggml_tensor * ggml_transpose(
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struct ggml_context * ctx,
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struct ggml_tensor * a);
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struct ggml_tensor * ggml_get_rows(
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struct ggml_context * ctx,
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struct ggml_tensor * a,
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struct ggml_tensor * b);
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|
|
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// set elements above the diagonal to -INF
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// in-place, returns view(a)
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struct ggml_tensor * ggml_diag_mask_inf(
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struct ggml_context * ctx,
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struct ggml_tensor * a,
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int n_past);
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// in-place, returns view(a)
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struct ggml_tensor * ggml_soft_max(
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struct ggml_context * ctx,
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struct ggml_tensor * a);
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|
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// rotary position embedding
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// in-place, returns view(a)
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// if mode == 1, skip n_past elements
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// TODO: avoid creating a new tensor every time
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struct ggml_tensor * ggml_rope(
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struct ggml_context * ctx,
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struct ggml_tensor * a,
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int n_past,
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int n_dims,
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int mode);
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|
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// padding = 1
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// TODO: we don't support extra parameters for now
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// that's why we are hard-coding the stride, padding, and dilation
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// not great ..
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struct ggml_tensor * ggml_conv_1d_1s(
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struct ggml_context * ctx,
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struct ggml_tensor * a,
|
|
struct ggml_tensor * b);
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|
|
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struct ggml_tensor * ggml_conv_1d_2s(
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|
struct ggml_context * ctx,
|
|
struct ggml_tensor * a,
|
|
struct ggml_tensor * b);
|
|
|
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struct ggml_tensor * ggml_flash_attn(
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|
struct ggml_context * ctx,
|
|
struct ggml_tensor * q,
|
|
struct ggml_tensor * k,
|
|
struct ggml_tensor * v,
|
|
bool masked);
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|
|
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struct ggml_tensor * ggml_flash_ff(
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|
struct ggml_context * ctx,
|
|
struct ggml_tensor * a,
|
|
struct ggml_tensor * b0,
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|
struct ggml_tensor * b1,
|
|
struct ggml_tensor * c0,
|
|
struct ggml_tensor * c1);
|
|
|
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//
|
|
// automatic differentiation
|
|
//
|
|
|
|
void ggml_set_param(
|
|
struct ggml_context * ctx,
|
|
struct ggml_tensor * tensor);
|
|
|
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void ggml_build_forward_expand(struct ggml_cgraph * cgraph, struct ggml_tensor * tensor);
|
|
|
|
struct ggml_cgraph ggml_build_forward (struct ggml_tensor * tensor);
|
|
struct ggml_cgraph ggml_build_backward(struct ggml_context * ctx, struct ggml_cgraph * gf, bool keep);
|
|
|
|
void ggml_graph_compute(struct ggml_context * ctx, struct ggml_cgraph * cgraph);
|
|
void ggml_graph_reset (struct ggml_cgraph * cgraph);
|
|
|
|
// print info and performance information for the graph
|
|
void ggml_graph_print(const struct ggml_cgraph * cgraph);
|
|
|
|
// dump the graph into a file using the dot format
|
|
void ggml_graph_dump_dot(const struct ggml_cgraph * gb, const struct ggml_cgraph * gf, const char * filename);
|
|
|
|
//
|
|
// optimization
|
|
//
|
|
|
|
// optimization methods
|
|
enum ggml_opt_type {
|
|
GGML_OPT_ADAM,
|
|
GGML_OPT_LBFGS,
|
|
};
|
|
|
|
// linesearch methods
|
|
enum ggml_linesearch {
|
|
GGML_LINESEARCH_DEFAULT = 1,
|
|
|
|
GGML_LINESEARCH_BACKTRACKING_ARMIJO = 0,
|
|
GGML_LINESEARCH_BACKTRACKING_WOLFE = 1,
|
|
GGML_LINESEARCH_BACKTRACKING_STRONG_WOLFE = 2,
|
|
};
|
|
|
|
// optimization return values
|
|
enum ggml_opt_result {
|
|
GGML_OPT_OK = 0,
|
|
GGML_OPT_DID_NOT_CONVERGE,
|
|
GGML_OPT_NO_CONTEXT,
|
|
GGML_OPT_INVALID_WOLFE,
|
|
GGML_OPT_FAIL,
|
|
|
|
GGML_LINESEARCH_FAIL = -128,
|
|
GGML_LINESEARCH_MINIMUM_STEP,
|
|
GGML_LINESEARCH_MAXIMUM_STEP,
|
|
GGML_LINESEARCH_MAXIMUM_ITERATIONS,
|
|
GGML_LINESEARCH_INVALID_PARAMETERS,
|
|
};
|
|
|
|
// optimization parameters
|
|
//
|
|
// see ggml.c (ggml_opt_default_params) for default values
|
|
//
|
|
struct ggml_opt_params {
|
|
enum ggml_opt_type type;
|
|
|
|
int n_threads;
|
|
|
|
// delta-based convergence test
|
|
//
|
|
// if past == 0 - disabled
|
|
// if past > 0:
|
|
// stop if |f(x) - f(x_past)| < delta * max(1, |f(x)|)
|
|
//
|
|
int past;
|
|
float delta;
|
|
|
|
// maximum number of iterations without improvement
|
|
//
|
|
// if 0 - disabled
|
|
// if > 0:
|
|
// assume convergence if no cost improvement in this number of iterations
|
|
//
|
|
int max_no_improvement;
|
|
|
|
bool print_forward_graph;
|
|
bool print_backward_graph;
|
|
|
|
// ADAM parameters
|
|
struct {
|
|
int n_iter;
|
|
|
|
float alpha; // learning rate
|
|
float beta1;
|
|
float beta2;
|
|
float eps; // epsilon for numerical stability
|
|
float eps_f; // epsilon for convergence test
|
|
float eps_g; // epsilon for convergence test
|
|
} adam;
|
|
|
|
// LBFGS parameters
|
|
struct {
|
|
int m; // number of corrections to approximate the inv. Hessian
|
|
int n_iter;
|
|
int max_linesearch;
|
|
|
|
float eps; // convergence tolerance
|
|
float ftol; // line search tolerance
|
|
float wolfe;
|
|
float min_step;
|
|
float max_step;
|
|
|
|
enum ggml_linesearch linesearch;
|
|
} lbfgs;
|
|
};
|
|
|
|
struct ggml_opt_params ggml_opt_default_params(enum ggml_opt_type type);
|
|
|
|
// optimize the function defined by the tensor f
|
|
enum ggml_opt_result ggml_opt(
|
|
struct ggml_context * ctx,
|
|
struct ggml_opt_params params,
|
|
struct ggml_tensor * f);
|
|
|
|
//
|
|
// system info
|
|
//
|
|
|
|
int ggml_cpu_has_avx(void);
|
|
int ggml_cpu_has_avx2(void);
|
|
int ggml_cpu_has_avx512(void);
|
|
int ggml_cpu_has_fma(void);
|
|
int ggml_cpu_has_neon(void);
|
|
int ggml_cpu_has_arm_fma(void);
|
|
int ggml_cpu_has_f16c(void);
|
|
int ggml_cpu_has_fp16_va(void);
|
|
int ggml_cpu_has_wasm_simd(void);
|
|
int ggml_cpu_has_blas(void);
|
|
int ggml_cpu_has_sse3(void);
|
|
int ggml_cpu_has_vsx(void);
|
|
|
|
#ifdef __cplusplus
|
|
}
|
|
#endif
|