hodu_cpu_kernels 0.2.0

hodu cpu kernels
Documentation
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#include "ops_reduce.h"
#include "types.h"
#include <float.h>
#include <math.h>
#include <stdbool.h>
#include <stdint.h>
#include <string.h>

#define MAX(a, b) ((a) > (b) ? (a) : (b))
#define MIN(a, b) ((a) < (b) ? (a) : (b))

// ============================================================================
// GENERIC REDUCTION OPERATIONS
// ============================================================================
//
// All reduction operations follow the same metadata layout:
// - metadata[0]: num_dims (number of dimensions in input)
// - metadata[1..1+num_dims]: dims (shape of input)
// - metadata[1+num_dims..1+2*num_dims]: strides (strides of input)
// - metadata[1+2*num_dims]: offset (starting offset in input)
// - metadata[2+2*num_dims]: output_shape_len (number of dimensions in output)
// - metadata[3+2*num_dims..3+2*num_dims+output_shape_len]: output_shape
// - metadata[3+2*num_dims+output_shape_len]: num_reduce_dims (number of dims to reduce)
// - metadata[4+2*num_dims+output_shape_len..]: reduce_dims (dimension indices to reduce)
// - metadata[...+num_reduce_dims]: keep_dim (1 to keep, 0 to squeeze)
// - metadata[...+1]: reduce_size (total elements to reduce per output)
//
// Algorithm:
// For each output element:
// 1. Compute output multi-dimensional indices
// 2. Map to input indices (accounting for keep_dim and reduced dimensions)
// 3. Iterate over all reduced dimension combinations
// 4. Accumulate values according to the reduction operation
//
// keep_dim behavior:
// - If keep_dim=true: output shape matches input but reduced dims have size 1
// - If keep_dim=false: reduced dimensions are squeezed out of output

/// Macro to implement a generic reduction operation
///
/// @param IN_TYPE Input C type
/// @param OUT_TYPE Output C type (same as input for most ops)
/// @param TYPE_SUFFIX Suffix for function naming
/// @param INIT_VAL Initial accumulator value
/// @param ACCUMULATE Expression to accumulate values (e.g., acc += val)
#define REDUCE_OP(IN_TYPE, OUT_TYPE, TYPE_SUFFIX, INIT_VAL, ACCUMULATE)                            \
    void TYPE_SUFFIX(const void *input_ptr, void *output_ptr, const size_t *metadata) {            \
        const IN_TYPE *input = (const IN_TYPE *)input_ptr;                                         \
        OUT_TYPE *output = (OUT_TYPE *)output_ptr;                                                 \
                                                                                                   \
        const size_t num_dims = metadata[0];                                                       \
        const size_t *dims = metadata + 1;                                                         \
        const size_t *strides = metadata + 1 + num_dims;                                           \
        const size_t offset = metadata[1 + 2 * num_dims];                                          \
        const size_t output_shape_len = metadata[2 + 2 * num_dims];                                \
        const size_t *output_shape = metadata + 3 + 2 * num_dims;                                  \
        const size_t num_reduce_dims = metadata[3 + 2 * num_dims + output_shape_len];              \
        const size_t *reduce_dims = metadata + 4 + 2 * num_dims + output_shape_len;                \
        const size_t keep_dim_val =                                                                \
            metadata[4 + 2 * num_dims + output_shape_len + num_reduce_dims];                       \
        const bool keep_dim = (keep_dim_val != 0);                                                 \
        const size_t reduce_size =                                                                 \
            metadata[5 + 2 * num_dims + output_shape_len + num_reduce_dims];                       \
        size_t num_els = 1;                                                                        \
        for (size_t i = 0; i < output_shape_len; i++) {                                            \
            num_els *= output_shape[i];                                                            \
        }                                                                                          \
                                                                                                   \
        for (size_t output_idx = 0; output_idx < num_els; output_idx++) {                          \
            OUT_TYPE acc = INIT_VAL;                                                               \
                                                                                                   \
            size_t output_indices[16];                                                             \
            size_t temp = output_idx;                                                              \
            for (int d = (int)output_shape_len - 1; d >= 0; d--) {                                 \
                output_indices[d] = temp % output_shape[d];                                        \
                temp /= output_shape[d];                                                           \
            }                                                                                      \
                                                                                                   \
            size_t input_indices[16];                                                              \
            if (keep_dim) {                                                                        \
                for (size_t i = 0; i < num_dims; i++) {                                            \
                    input_indices[i] = output_indices[i];                                          \
                }                                                                                  \
            } else {                                                                               \
                size_t out_idx = 0;                                                                \
                for (size_t in_dim = 0; in_dim < num_dims; in_dim++) {                             \
                    bool is_reduced = false;                                                       \
                    for (size_t r = 0; r < num_reduce_dims; r++) {                                 \
                        if (reduce_dims[r] == in_dim) {                                            \
                            is_reduced = true;                                                     \
                            break;                                                                 \
                        }                                                                          \
                    }                                                                              \
                    if (is_reduced) {                                                              \
                        input_indices[in_dim] = 0;                                                 \
                    } else {                                                                       \
                        input_indices[in_dim] =                                                    \
                            (out_idx < output_shape_len) ? output_indices[out_idx] : 0;            \
                        out_idx++;                                                                 \
                    }                                                                              \
                }                                                                                  \
            }                                                                                      \
                                                                                                   \
            for (size_t reduced_idx = 0; reduced_idx < reduce_size; reduced_idx++) {               \
                size_t temp_reduced = reduced_idx;                                                 \
                for (int i = (int)num_reduce_dims - 1; i >= 0; i--) {                              \
                    size_t dim = reduce_dims[i];                                                   \
                    input_indices[dim] = temp_reduced % dims[dim];                                 \
                    temp_reduced /= dims[dim];                                                     \
                }                                                                                  \
                                                                                                   \
                size_t flat_index = offset;                                                        \
                for (size_t i = 0; i < num_dims; i++) {                                            \
                    flat_index += input_indices[i] * strides[i];                                   \
                }                                                                                  \
                                                                                                   \
                IN_TYPE val = input[flat_index];                                                   \
                ACCUMULATE;                                                                        \
            }                                                                                      \
                                                                                                   \
            output[output_idx] = acc;                                                              \
        }                                                                                          \
    }

REDUCE_OP(f8e4m3_t, f8e4m3_t, sum_f8e4m3, 0, acc += val)
REDUCE_OP(f8e5m2_t, f8e5m2_t, sum_f8e5m2, 0, acc += val)
REDUCE_OP(bf16_t, bf16_t, sum_bf16, 0, acc += val)
REDUCE_OP(f16_t, f16_t, sum_f16, 0, acc += val)
REDUCE_OP(f32_t, f32_t, sum_f32, 0.0f, acc += val)
REDUCE_OP(f64_t, f64_t, sum_f64, 0.0, acc += val)
REDUCE_OP(int8_t, int8_t, sum_i8, 0, acc += val)
REDUCE_OP(int16_t, int16_t, sum_i16, 0, acc += val)
REDUCE_OP(int32_t, int32_t, sum_i32, 0, acc += val)
REDUCE_OP(int64_t, int64_t, sum_i64, 0, acc += val)
REDUCE_OP(uint8_t, uint8_t, sum_u8, 0u, acc += val)
REDUCE_OP(uint16_t, uint16_t, sum_u16, 0u, acc += val)
REDUCE_OP(uint32_t, uint32_t, sum_u32, 0u, acc += val)
REDUCE_OP(uint64_t, uint64_t, sum_u64, 0u, acc += val)

// Max reduction operations
REDUCE_OP(f8e4m3_t, f8e4m3_t, max_f8e4m3, -INFINITY, acc = MAX(acc, val))
REDUCE_OP(f8e5m2_t, f8e5m2_t, max_f8e5m2, -INFINITY, acc = MAX(acc, val))
REDUCE_OP(bf16_t, bf16_t, max_bf16, -INFINITY, acc = MAX(acc, val))
REDUCE_OP(f16_t, f16_t, max_f16, -INFINITY, acc = MAX(acc, val))
REDUCE_OP(f32_t, f32_t, max_f32, -INFINITY, acc = MAX(acc, val))
REDUCE_OP(f64_t, f64_t, max_f64, -INFINITY, acc = MAX(acc, val))
REDUCE_OP(int8_t, int8_t, max_i8, INT8_MIN, acc = MAX(acc, val))
REDUCE_OP(int16_t, int16_t, max_i16, INT16_MIN, acc = MAX(acc, val))
REDUCE_OP(int32_t, int32_t, max_i32, INT32_MIN, acc = MAX(acc, val))
REDUCE_OP(int64_t, int64_t, max_i64, INT64_MIN, acc = MAX(acc, val))
REDUCE_OP(uint8_t, uint8_t, max_u8, 0u, acc = MAX(acc, val))
REDUCE_OP(uint16_t, uint16_t, max_u16, 0u, acc = MAX(acc, val))
REDUCE_OP(uint32_t, uint32_t, max_u32, 0u, acc = MAX(acc, val))
REDUCE_OP(uint64_t, uint64_t, max_u64, 0u, acc = MAX(acc, val))

// Min reduction operations
REDUCE_OP(f8e4m3_t, f8e4m3_t, min_f8e4m3, INFINITY, acc = MIN(acc, val))
REDUCE_OP(f8e5m2_t, f8e5m2_t, min_f8e5m2, INFINITY, acc = MIN(acc, val))
REDUCE_OP(bf16_t, bf16_t, min_bf16, INFINITY, acc = MIN(acc, val))
REDUCE_OP(f16_t, f16_t, min_f16, INFINITY, acc = MIN(acc, val))
REDUCE_OP(f32_t, f32_t, min_f32, INFINITY, acc = MIN(acc, val))
REDUCE_OP(f64_t, f64_t, min_f64, INFINITY, acc = MIN(acc, val))
REDUCE_OP(int8_t, int8_t, min_i8, INT8_MAX, acc = MIN(acc, val))
REDUCE_OP(int16_t, int16_t, min_i16, INT16_MAX, acc = MIN(acc, val))
REDUCE_OP(int32_t, int32_t, min_i32, INT32_MAX, acc = MIN(acc, val))
REDUCE_OP(int64_t, int64_t, min_i64, INT64_MAX, acc = MIN(acc, val))
REDUCE_OP(uint8_t, uint8_t, min_u8, UINT8_MAX, acc = MIN(acc, val))
REDUCE_OP(uint16_t, uint16_t, min_u16, UINT16_MAX, acc = MIN(acc, val))
REDUCE_OP(uint32_t, uint32_t, min_u32, UINT32_MAX, acc = MIN(acc, val))
REDUCE_OP(uint64_t, uint64_t, min_u64, UINT64_MAX, acc = MIN(acc, val))

// Product reduction operations
REDUCE_OP(f8e4m3_t, f8e4m3_t, prod_f8e4m3, 1, acc *= val)
REDUCE_OP(f8e5m2_t, f8e5m2_t, prod_f8e5m2, 1, acc *= val)
REDUCE_OP(bf16_t, bf16_t, prod_bf16, 1, acc *= val)
REDUCE_OP(f16_t, f16_t, prod_f16, 1, acc *= val)
REDUCE_OP(f32_t, f32_t, prod_f32, 1.0f, acc *= val)
REDUCE_OP(f64_t, f64_t, prod_f64, 1.0, acc *= val)
REDUCE_OP(int8_t, int8_t, prod_i8, 1, acc *= val)
REDUCE_OP(int16_t, int16_t, prod_i16, 1, acc *= val)
REDUCE_OP(int32_t, int32_t, prod_i32, 1, acc *= val)
REDUCE_OP(int64_t, int64_t, prod_i64, 1, acc *= val)
REDUCE_OP(uint8_t, uint8_t, prod_u8, 1u, acc *= val)
REDUCE_OP(uint16_t, uint16_t, prod_u16, 1u, acc *= val)
REDUCE_OP(uint32_t, uint32_t, prod_u32, 1u, acc *= val)
REDUCE_OP(uint64_t, uint64_t, prod_u64, 1u, acc *= val)

// ============================================================================
// STANDARD DEVIATION REDUCTION
// ============================================================================
//
// Computes population standard deviation: sqrt(E[X²] - E[X]²)
// Two-pass algorithm: accumulate sum and sum of squares, then compute std.
//
// Metadata layout: Same as generic reduction operations

/// Macro to implement standard deviation reduction (float types only)
///
/// @param TYPE C float type
/// @param TYPE_SUFFIX Suffix for function naming
#define REDUCE_STD_OP(TYPE, TYPE_SUFFIX)                                                           \
    void std_##TYPE_SUFFIX(const void *input_ptr, void *output_ptr, const size_t *metadata) {      \
        const TYPE *input = (const TYPE *)input_ptr;                                               \
        TYPE *output = (TYPE *)output_ptr;                                                         \
                                                                                                   \
        const size_t num_dims = metadata[0];                                                       \
        const size_t *dims = metadata + 1;                                                         \
        const size_t *strides = metadata + 1 + num_dims;                                           \
        const size_t offset = metadata[1 + 2 * num_dims];                                          \
        const size_t output_shape_len = metadata[2 + 2 * num_dims];                                \
        const size_t *output_shape = metadata + 3 + 2 * num_dims;                                  \
        const size_t num_reduce_dims = metadata[3 + 2 * num_dims + output_shape_len];              \
        const size_t *reduce_dims = metadata + 4 + 2 * num_dims + output_shape_len;                \
        const size_t keep_dim_val =                                                                \
            metadata[4 + 2 * num_dims + output_shape_len + num_reduce_dims];                       \
        const bool keep_dim = (keep_dim_val != 0);                                                 \
        const size_t reduce_size =                                                                 \
            metadata[5 + 2 * num_dims + output_shape_len + num_reduce_dims];                       \
        size_t num_els = 1;                                                                        \
        for (size_t i = 0; i < output_shape_len; i++) {                                            \
            num_els *= output_shape[i];                                                            \
        }                                                                                          \
                                                                                                   \
        for (size_t output_idx = 0; output_idx < num_els; output_idx++) {                          \
            TYPE sum = 0;                                                                          \
            TYPE sum_squares = 0;                                                                  \
                                                                                                   \
            size_t output_indices[16];                                                             \
            size_t temp = output_idx;                                                              \
            for (int d = (int)output_shape_len - 1; d >= 0; d--) {                                 \
                output_indices[d] = temp % output_shape[d];                                        \
                temp /= output_shape[d];                                                           \
            }                                                                                      \
                                                                                                   \
            size_t input_indices[16];                                                              \
            if (keep_dim) {                                                                        \
                for (size_t i = 0; i < num_dims; i++) {                                            \
                    input_indices[i] = output_indices[i];                                          \
                }                                                                                  \
            } else {                                                                               \
                size_t out_idx = 0;                                                                \
                for (size_t in_dim = 0; in_dim < num_dims; in_dim++) {                             \
                    bool is_reduced = false;                                                       \
                    for (size_t r = 0; r < num_reduce_dims; r++) {                                 \
                        if (reduce_dims[r] == in_dim) {                                            \
                            is_reduced = true;                                                     \
                            break;                                                                 \
                        }                                                                          \
                    }                                                                              \
                    if (is_reduced) {                                                              \
                        input_indices[in_dim] = 0;                                                 \
                    } else {                                                                       \
                        input_indices[in_dim] =                                                    \
                            (out_idx < output_shape_len) ? output_indices[out_idx] : 0;            \
                        out_idx++;                                                                 \
                    }                                                                              \
                }                                                                                  \
            }                                                                                      \
                                                                                                   \
            for (size_t reduced_idx = 0; reduced_idx < reduce_size; reduced_idx++) {               \
                size_t temp_reduced = reduced_idx;                                                 \
                for (int i = (int)num_reduce_dims - 1; i >= 0; i--) {                              \
                    size_t dim = reduce_dims[i];                                                   \
                    input_indices[dim] = temp_reduced % dims[dim];                                 \
                    temp_reduced /= dims[dim];                                                     \
                }                                                                                  \
                                                                                                   \
                size_t flat_index = offset;                                                        \
                for (size_t i = 0; i < num_dims; i++) {                                            \
                    flat_index += input_indices[i] * strides[i];                                   \
                }                                                                                  \
                                                                                                   \
                TYPE val = input[flat_index];                                                      \
                sum += val;                                                                        \
                sum_squares += val * val;                                                          \
            }                                                                                      \
                                                                                                   \
            TYPE mean = sum / (TYPE)reduce_size;                                                   \
            TYPE variance = (sum_squares / (TYPE)reduce_size) - (mean * mean);                     \
            output[output_idx] = sqrt(variance);                                                   \
        }                                                                                          \
    }

REDUCE_STD_OP(f8e4m3_t, f8e4m3)
REDUCE_STD_OP(f8e5m2_t, f8e5m2)
REDUCE_STD_OP(bf16_t, bf16)
REDUCE_STD_OP(f16_t, f16)
REDUCE_STD_OP(f32_t, f32)
REDUCE_STD_OP(f64_t, f64)

// ============================================================================
// VARIANCE REDUCTION
// ============================================================================
//
// Computes population variance: E[X²] - E[X]²
// Same as std but without the sqrt.
//
// Metadata layout: Same as generic reduction operations

/// Macro to implement variance reduction (float types only)
///
/// @param TYPE C float type
/// @param TYPE_SUFFIX Suffix for function naming
#define REDUCE_VAR_OP(TYPE, TYPE_SUFFIX)                                                           \
    void var_##TYPE_SUFFIX(const void *input_ptr, void *output_ptr, const size_t *metadata) {      \
        const TYPE *input = (const TYPE *)input_ptr;                                               \
        TYPE *output = (TYPE *)output_ptr;                                                         \
                                                                                                   \
        const size_t num_dims = metadata[0];                                                       \
        const size_t *dims = metadata + 1;                                                         \
        const size_t *strides = metadata + 1 + num_dims;                                           \
        const size_t offset = metadata[1 + 2 * num_dims];                                          \
        const size_t output_shape_len = metadata[2 + 2 * num_dims];                                \
        const size_t *output_shape = metadata + 3 + 2 * num_dims;                                  \
        const size_t num_reduce_dims = metadata[3 + 2 * num_dims + output_shape_len];              \
        const size_t *reduce_dims = metadata + 4 + 2 * num_dims + output_shape_len;                \
        const size_t keep_dim_val =                                                                \
            metadata[4 + 2 * num_dims + output_shape_len + num_reduce_dims];                       \
        const bool keep_dim = (keep_dim_val != 0);                                                 \
        const size_t reduce_size =                                                                 \
            metadata[5 + 2 * num_dims + output_shape_len + num_reduce_dims];                       \
        size_t num_els = 1;                                                                        \
        for (size_t i = 0; i < output_shape_len; i++) {                                            \
            num_els *= output_shape[i];                                                            \
        }                                                                                          \
                                                                                                   \
        for (size_t output_idx = 0; output_idx < num_els; output_idx++) {                          \
            TYPE sum = 0;                                                                          \
            TYPE sum_squares = 0;                                                                  \
                                                                                                   \
            size_t output_indices[16];                                                             \
            size_t temp = output_idx;                                                              \
            for (int d = (int)output_shape_len - 1; d >= 0; d--) {                                 \
                output_indices[d] = temp % output_shape[d];                                        \
                temp /= output_shape[d];                                                           \
            }                                                                                      \
                                                                                                   \
            size_t input_indices[16];                                                              \
            if (keep_dim) {                                                                        \
                for (size_t i = 0; i < num_dims; i++) {                                            \
                    input_indices[i] = output_indices[i];                                          \
                }                                                                                  \
            } else {                                                                               \
                size_t out_idx = 0;                                                                \
                for (size_t in_dim = 0; in_dim < num_dims; in_dim++) {                             \
                    bool is_reduced = false;                                                       \
                    for (size_t r = 0; r < num_reduce_dims; r++) {                                 \
                        if (reduce_dims[r] == in_dim) {                                            \
                            is_reduced = true;                                                     \
                            break;                                                                 \
                        }                                                                          \
                    }                                                                              \
                    if (is_reduced) {                                                              \
                        input_indices[in_dim] = 0;                                                 \
                    } else {                                                                       \
                        input_indices[in_dim] =                                                    \
                            (out_idx < output_shape_len) ? output_indices[out_idx] : 0;            \
                        out_idx++;                                                                 \
                    }                                                                              \
                }                                                                                  \
            }                                                                                      \
                                                                                                   \
            for (size_t reduced_idx = 0; reduced_idx < reduce_size; reduced_idx++) {               \
                size_t temp_reduced = reduced_idx;                                                 \
                for (int i = (int)num_reduce_dims - 1; i >= 0; i--) {                              \
                    size_t dim = reduce_dims[i];                                                   \
                    input_indices[dim] = temp_reduced % dims[dim];                                 \
                    temp_reduced /= dims[dim];                                                     \
                }                                                                                  \
                                                                                                   \
                size_t flat_index = offset;                                                        \
                for (size_t i = 0; i < num_dims; i++) {                                            \
                    flat_index += input_indices[i] * strides[i];                                   \
                }                                                                                  \
                                                                                                   \
                TYPE val = input[flat_index];                                                      \
                sum += val;                                                                        \
                sum_squares += val * val;                                                          \
            }                                                                                      \
                                                                                                   \
            TYPE mean = sum / (TYPE)reduce_size;                                                   \
            output[output_idx] = (sum_squares / (TYPE)reduce_size) - (mean * mean);                \
        }                                                                                          \
    }

REDUCE_VAR_OP(f8e4m3_t, f8e4m3)
REDUCE_VAR_OP(f8e5m2_t, f8e5m2)
REDUCE_VAR_OP(bf16_t, bf16)
REDUCE_VAR_OP(f16_t, f16)
REDUCE_VAR_OP(f32_t, f32)
REDUCE_VAR_OP(f64_t, f64)

// ============================================================================
// MEAN REDUCTION
// ============================================================================
//
// Computes arithmetic mean by calling sum and dividing by reduce_size.
//
// Metadata layout: Same as generic reduction operations

/// Macro to implement mean reduction (float types only)
///
/// @param TYPE C float type
/// @param TYPE_SUFFIX Suffix for function naming
#define REDUCE_MEAN_OP(TYPE, TYPE_SUFFIX)                                                          \
    void mean_##TYPE_SUFFIX(const void *input_ptr, void *output_ptr, const size_t *metadata) {     \
        const size_t num_dims = metadata[0];                                                       \
        const size_t output_shape_len = metadata[2 + 2 * num_dims];                                \
        const size_t *output_shape = metadata + 3 + 2 * num_dims;                                  \
        const size_t num_reduce_dims = metadata[3 + 2 * num_dims + output_shape_len];              \
        const size_t reduce_size =                                                                 \
            metadata[5 + 2 * num_dims + output_shape_len + num_reduce_dims];                       \
        size_t num_els = 1;                                                                        \
        for (size_t i = 0; i < output_shape_len; i++) {                                            \
            num_els *= output_shape[i];                                                            \
        }                                                                                          \
        sum_##TYPE_SUFFIX(input_ptr, output_ptr, metadata);                                        \
        TYPE *output = (TYPE *)output_ptr;                                                         \
        for (size_t i = 0; i < num_els; i++) {                                                     \
            output[i] /= (TYPE)reduce_size;                                                        \
        }                                                                                          \
    }

REDUCE_MEAN_OP(f8e4m3_t, f8e4m3)
REDUCE_MEAN_OP(f8e5m2_t, f8e5m2)
REDUCE_MEAN_OP(bf16_t, bf16)
REDUCE_MEAN_OP(f16_t, f16)
REDUCE_MEAN_OP(f32_t, f32)
REDUCE_MEAN_OP(f64_t, f64)

// ============================================================================
// NORM REDUCTION (L2 NORM)
// ============================================================================
//
// Computes L2 norm: sqrt(sum(X²))
//
// Metadata layout: Same as generic reduction operations

/// Macro to implement L2 norm reduction (float types only)
///
/// @param TYPE C float type
/// @param TYPE_SUFFIX Suffix for function naming
#define REDUCE_NORM_OP(TYPE, TYPE_SUFFIX)                                                          \
    void norm_##TYPE_SUFFIX(const void *input_ptr, void *output_ptr, const size_t *metadata) {     \
        const TYPE *input = (const TYPE *)input_ptr;                                               \
        TYPE *output = (TYPE *)output_ptr;                                                         \
                                                                                                   \
        const size_t num_dims = metadata[0];                                                       \
        const size_t *dims = metadata + 1;                                                         \
        const size_t *strides = metadata + 1 + num_dims;                                           \
        const size_t offset = metadata[1 + 2 * num_dims];                                          \
        const size_t output_shape_len = metadata[2 + 2 * num_dims];                                \
        const size_t *output_shape = metadata + 3 + 2 * num_dims;                                  \
        const size_t num_reduce_dims = metadata[3 + 2 * num_dims + output_shape_len];              \
        const size_t *reduce_dims = metadata + 4 + 2 * num_dims + output_shape_len;                \
        const size_t keep_dim_val =                                                                \
            metadata[4 + 2 * num_dims + output_shape_len + num_reduce_dims];                       \
        const bool keep_dim = (keep_dim_val != 0);                                                 \
        const size_t reduce_size =                                                                 \
            metadata[5 + 2 * num_dims + output_shape_len + num_reduce_dims];                       \
        size_t num_els = 1;                                                                        \
        for (size_t i = 0; i < output_shape_len; i++) {                                            \
            num_els *= output_shape[i];                                                            \
        }                                                                                          \
                                                                                                   \
        for (size_t output_idx = 0; output_idx < num_els; output_idx++) {                          \
            TYPE sum_squares = 0;                                                                  \
                                                                                                   \
            size_t output_indices[16];                                                             \
            size_t temp = output_idx;                                                              \
            for (int d = (int)output_shape_len - 1; d >= 0; d--) {                                 \
                output_indices[d] = temp % output_shape[d];                                        \
                temp /= output_shape[d];                                                           \
            }                                                                                      \
                                                                                                   \
            size_t input_indices[16];                                                              \
            if (keep_dim) {                                                                        \
                for (size_t i = 0; i < num_dims; i++) {                                            \
                    input_indices[i] = output_indices[i];                                          \
                }                                                                                  \
            } else {                                                                               \
                size_t out_idx = 0;                                                                \
                for (size_t in_dim = 0; in_dim < num_dims; in_dim++) {                             \
                    bool is_reduced = false;                                                       \
                    for (size_t r = 0; r < num_reduce_dims; r++) {                                 \
                        if (reduce_dims[r] == in_dim) {                                            \
                            is_reduced = true;                                                     \
                            break;                                                                 \
                        }                                                                          \
                    }                                                                              \
                    if (is_reduced) {                                                              \
                        input_indices[in_dim] = 0;                                                 \
                    } else {                                                                       \
                        input_indices[in_dim] =                                                    \
                            (out_idx < output_shape_len) ? output_indices[out_idx] : 0;            \
                        out_idx++;                                                                 \
                    }                                                                              \
                }                                                                                  \
            }                                                                                      \
                                                                                                   \
            for (size_t reduced_idx = 0; reduced_idx < reduce_size; reduced_idx++) {               \
                size_t temp_reduced = reduced_idx;                                                 \
                for (int i = (int)num_reduce_dims - 1; i >= 0; i--) {                              \
                    size_t dim = reduce_dims[i];                                                   \
                    input_indices[dim] = temp_reduced % dims[dim];                                 \
                    temp_reduced /= dims[dim];                                                     \
                }                                                                                  \
                                                                                                   \
                size_t flat_index = offset;                                                        \
                for (size_t i = 0; i < num_dims; i++) {                                            \
                    flat_index += input_indices[i] * strides[i];                                   \
                }                                                                                  \
                                                                                                   \
                TYPE val = input[flat_index];                                                      \
                sum_squares += val * val;                                                          \
            }                                                                                      \
                                                                                                   \
            output[output_idx] = (TYPE)sqrt((float)sum_squares);                                   \
        }                                                                                          \
    }

REDUCE_NORM_OP(f8e4m3_t, f8e4m3)
REDUCE_NORM_OP(f8e5m2_t, f8e5m2)
REDUCE_NORM_OP(bf16_t, bf16)
REDUCE_NORM_OP(f16_t, f16)
REDUCE_NORM_OP(f32_t, f32)
REDUCE_NORM_OP(f64_t, f64)

// ============================================================================
// ARGMAX REDUCTION
// ============================================================================
//
// Returns the index of the maximum value along the first reduce dimension.
// Output type is always int32.
//
// Metadata layout: Same as generic reduction operations

/// Macro to implement argmax reduction (returns int32 indices)
///
/// @param IN_TYPE Input C type
/// @param TYPE_SUFFIX Suffix for function naming
#define REDUCE_ARGMAX_OP(IN_TYPE, TYPE_SUFFIX)                                                     \
    void argmax_##TYPE_SUFFIX(const void *input_ptr, void *output_ptr, const size_t *metadata) {   \
        const IN_TYPE *input = (const IN_TYPE *)input_ptr;                                         \
        int32_t *output = (int32_t *)output_ptr;                                                   \
                                                                                                   \
        const size_t num_dims = metadata[0];                                                       \
        const size_t *dims = metadata + 1;                                                         \
        const size_t *strides = metadata + 1 + num_dims;                                           \
        const size_t offset = metadata[1 + 2 * num_dims];                                          \
        const size_t output_shape_len = metadata[2 + 2 * num_dims];                                \
        const size_t *output_shape = metadata + 3 + 2 * num_dims;                                  \
        const size_t num_reduce_dims = metadata[3 + 2 * num_dims + output_shape_len];              \
        const size_t *reduce_dims = metadata + 4 + 2 * num_dims + output_shape_len;                \
        const size_t keep_dim_val =                                                                \
            metadata[4 + 2 * num_dims + output_shape_len + num_reduce_dims];                       \
        const bool keep_dim = (keep_dim_val != 0);                                                 \
        const size_t reduce_size =                                                                 \
            metadata[5 + 2 * num_dims + output_shape_len + num_reduce_dims];                       \
        size_t num_els = 1;                                                                        \
        for (size_t i = 0; i < output_shape_len; i++) {                                            \
            num_els *= output_shape[i];                                                            \
        }                                                                                          \
                                                                                                   \
        for (size_t output_idx = 0; output_idx < num_els; output_idx++) {                          \
            IN_TYPE max_val;                                                                       \
            int32_t max_idx = 0;                                                                   \
            bool first = true;                                                                     \
                                                                                                   \
            size_t output_indices[16];                                                             \
            size_t temp = output_idx;                                                              \
            for (int d = (int)output_shape_len - 1; d >= 0; d--) {                                 \
                output_indices[d] = temp % output_shape[d];                                        \
                temp /= output_shape[d];                                                           \
            }                                                                                      \
                                                                                                   \
            size_t input_indices[16];                                                              \
            if (keep_dim) {                                                                        \
                for (size_t i = 0; i < num_dims; i++) {                                            \
                    input_indices[i] = output_indices[i];                                          \
                }                                                                                  \
            } else {                                                                               \
                size_t out_idx = 0;                                                                \
                for (size_t in_dim = 0; in_dim < num_dims; in_dim++) {                             \
                    bool is_reduced = false;                                                       \
                    for (size_t r = 0; r < num_reduce_dims; r++) {                                 \
                        if (reduce_dims[r] == in_dim) {                                            \
                            is_reduced = true;                                                     \
                            break;                                                                 \
                        }                                                                          \
                    }                                                                              \
                    if (is_reduced) {                                                              \
                        input_indices[in_dim] = 0;                                                 \
                    } else {                                                                       \
                        input_indices[in_dim] =                                                    \
                            (out_idx < output_shape_len) ? output_indices[out_idx] : 0;            \
                        out_idx++;                                                                 \
                    }                                                                              \
                }                                                                                  \
            }                                                                                      \
                                                                                                   \
            for (size_t reduced_idx = 0; reduced_idx < reduce_size; reduced_idx++) {               \
                size_t temp_reduced = reduced_idx;                                                 \
                for (int i = (int)num_reduce_dims - 1; i >= 0; i--) {                              \
                    size_t dim = reduce_dims[i];                                                   \
                    input_indices[dim] = temp_reduced % dims[dim];                                 \
                    temp_reduced /= dims[dim];                                                     \
                }                                                                                  \
                                                                                                   \
                size_t actual_dim_idx = input_indices[reduce_dims[0]];                             \
                                                                                                   \
                size_t flat_index = offset;                                                        \
                for (size_t i = 0; i < num_dims; i++) {                                            \
                    flat_index += input_indices[i] * strides[i];                                   \
                }                                                                                  \
                                                                                                   \
                IN_TYPE val = input[flat_index];                                                   \
                if (first || val > max_val) {                                                      \
                    max_val = val;                                                                 \
                    max_idx = (int32_t)actual_dim_idx;                                             \
                    first = false;                                                                 \
                }                                                                                  \
            }                                                                                      \
                                                                                                   \
            output[output_idx] = max_idx;                                                          \
        }                                                                                          \
    }

// ============================================================================
// ARGMIN REDUCTION
// ============================================================================
//
// Returns the index of the minimum value along the first reduce dimension.
// Output type is always int32.
//
// Metadata layout: Same as generic reduction operations

/// Macro to implement argmin reduction (returns int32 indices)
///
/// @param IN_TYPE Input C type
/// @param TYPE_SUFFIX Suffix for function naming
#define REDUCE_ARGMIN_OP(IN_TYPE, TYPE_SUFFIX)                                                     \
    void argmin_##TYPE_SUFFIX(const void *input_ptr, void *output_ptr, const size_t *metadata) {   \
        const IN_TYPE *input = (const IN_TYPE *)input_ptr;                                         \
        int32_t *output = (int32_t *)output_ptr;                                                   \
                                                                                                   \
        const size_t num_dims = metadata[0];                                                       \
        const size_t *dims = metadata + 1;                                                         \
        const size_t *strides = metadata + 1 + num_dims;                                           \
        const size_t offset = metadata[1 + 2 * num_dims];                                          \
        const size_t output_shape_len = metadata[2 + 2 * num_dims];                                \
        const size_t *output_shape = metadata + 3 + 2 * num_dims;                                  \
        const size_t num_reduce_dims = metadata[3 + 2 * num_dims + output_shape_len];              \
        const size_t *reduce_dims = metadata + 4 + 2 * num_dims + output_shape_len;                \
        const size_t keep_dim_val =                                                                \
            metadata[4 + 2 * num_dims + output_shape_len + num_reduce_dims];                       \
        const bool keep_dim = (keep_dim_val != 0);                                                 \
        const size_t reduce_size =                                                                 \
            metadata[5 + 2 * num_dims + output_shape_len + num_reduce_dims];                       \
        size_t num_els = 1;                                                                        \
        for (size_t i = 0; i < output_shape_len; i++) {                                            \
            num_els *= output_shape[i];                                                            \
        }                                                                                          \
                                                                                                   \
        for (size_t output_idx = 0; output_idx < num_els; output_idx++) {                          \
            IN_TYPE min_val;                                                                       \
            int32_t min_idx = 0;                                                                   \
            bool first = true;                                                                     \
                                                                                                   \
            size_t output_indices[16];                                                             \
            size_t temp = output_idx;                                                              \
            for (int d = (int)output_shape_len - 1; d >= 0; d--) {                                 \
                output_indices[d] = temp % output_shape[d];                                        \
                temp /= output_shape[d];                                                           \
            }                                                                                      \
                                                                                                   \
            size_t input_indices[16];                                                              \
            if (keep_dim) {                                                                        \
                for (size_t i = 0; i < num_dims; i++) {                                            \
                    input_indices[i] = output_indices[i];                                          \
                }                                                                                  \
            } else {                                                                               \
                size_t out_idx = 0;                                                                \
                for (size_t in_dim = 0; in_dim < num_dims; in_dim++) {                             \
                    bool is_reduced = false;                                                       \
                    for (size_t r = 0; r < num_reduce_dims; r++) {                                 \
                        if (reduce_dims[r] == in_dim) {                                            \
                            is_reduced = true;                                                     \
                            break;                                                                 \
                        }                                                                          \
                    }                                                                              \
                    if (is_reduced) {                                                              \
                        input_indices[in_dim] = 0;                                                 \
                    } else {                                                                       \
                        input_indices[in_dim] =                                                    \
                            (out_idx < output_shape_len) ? output_indices[out_idx] : 0;            \
                        out_idx++;                                                                 \
                    }                                                                              \
                }                                                                                  \
            }                                                                                      \
                                                                                                   \
            for (size_t reduced_idx = 0; reduced_idx < reduce_size; reduced_idx++) {               \
                size_t temp_reduced = reduced_idx;                                                 \
                for (int i = (int)num_reduce_dims - 1; i >= 0; i--) {                              \
                    size_t dim = reduce_dims[i];                                                   \
                    input_indices[dim] = temp_reduced % dims[dim];                                 \
                    temp_reduced /= dims[dim];                                                     \
                }                                                                                  \
                                                                                                   \
                size_t actual_dim_idx = input_indices[reduce_dims[0]];                             \
                                                                                                   \
                size_t flat_index = offset;                                                        \
                for (size_t i = 0; i < num_dims; i++) {                                            \
                    flat_index += input_indices[i] * strides[i];                                   \
                }                                                                                  \
                                                                                                   \
                IN_TYPE val = input[flat_index];                                                   \
                if (first || val < min_val) {                                                      \
                    min_val = val;                                                                 \
                    min_idx = (int32_t)actual_dim_idx;                                             \
                    first = false;                                                                 \
                }                                                                                  \
            }                                                                                      \
                                                                                                   \
            output[output_idx] = min_idx;                                                          \
        }                                                                                          \
    }

REDUCE_ARGMAX_OP(bool, bool)
REDUCE_ARGMAX_OP(f8e4m3_t, f8e4m3)
REDUCE_ARGMAX_OP(f8e5m2_t, f8e5m2)
REDUCE_ARGMAX_OP(bf16_t, bf16)
REDUCE_ARGMAX_OP(f16_t, f16)
REDUCE_ARGMAX_OP(f32_t, f32)
REDUCE_ARGMAX_OP(f64_t, f64)
REDUCE_ARGMAX_OP(int8_t, i8)
REDUCE_ARGMAX_OP(int16_t, i16)
REDUCE_ARGMAX_OP(int32_t, i32)
REDUCE_ARGMAX_OP(int64_t, i64)
REDUCE_ARGMAX_OP(uint8_t, u8)
REDUCE_ARGMAX_OP(uint16_t, u16)
REDUCE_ARGMAX_OP(uint32_t, u32)
REDUCE_ARGMAX_OP(uint64_t, u64)

REDUCE_ARGMIN_OP(bool, bool)
REDUCE_ARGMIN_OP(f8e4m3_t, f8e4m3)
REDUCE_ARGMIN_OP(f8e5m2_t, f8e5m2)
REDUCE_ARGMIN_OP(bf16_t, bf16)
REDUCE_ARGMIN_OP(f16_t, f16)
REDUCE_ARGMIN_OP(f32_t, f32)
REDUCE_ARGMIN_OP(f64_t, f64)
REDUCE_ARGMIN_OP(int8_t, i8)
REDUCE_ARGMIN_OP(int16_t, i16)
REDUCE_ARGMIN_OP(int32_t, i32)
REDUCE_ARGMIN_OP(int64_t, i64)
REDUCE_ARGMIN_OP(uint8_t, u8)
REDUCE_ARGMIN_OP(uint16_t, u16)
REDUCE_ARGMIN_OP(uint32_t, u32)
REDUCE_ARGMIN_OP(uint64_t, u64)

// ============================================================================
// ANY REDUCTION (LOGICAL OR)
// ============================================================================
//
// Returns true if any element is non-zero along reduce dimensions.
// Output type is always bool. Short-circuits on first true value.
//
// Metadata layout: Same as generic reduction operations

#define IS_NONZERO(val) ((val) != 0)

/// Macro to implement any reduction (logical OR, returns bool)
///
/// @param IN_TYPE Input C type
/// @param TYPE_SUFFIX Suffix for function naming
#define REDUCE_ANY_OP(IN_TYPE, TYPE_SUFFIX)                                                        \
    void any_##TYPE_SUFFIX(const void *input_ptr, void *output_ptr, const size_t *metadata) {      \
        const IN_TYPE *input = (const IN_TYPE *)input_ptr;                                         \
        bool *output = (bool *)output_ptr;                                                         \
                                                                                                   \
        const size_t num_dims = metadata[0];                                                       \
        const size_t *dims = metadata + 1;                                                         \
        const size_t *strides = metadata + 1 + num_dims;                                           \
        const size_t offset = metadata[1 + 2 * num_dims];                                          \
        const size_t output_shape_len = metadata[2 + 2 * num_dims];                                \
        const size_t *output_shape = metadata + 3 + 2 * num_dims;                                  \
        const size_t num_reduce_dims = metadata[3 + 2 * num_dims + output_shape_len];              \
        const size_t *reduce_dims = metadata + 4 + 2 * num_dims + output_shape_len;                \
        const size_t keep_dim_val =                                                                \
            metadata[4 + 2 * num_dims + output_shape_len + num_reduce_dims];                       \
        const bool keep_dim = (keep_dim_val != 0);                                                 \
        const size_t reduce_size =                                                                 \
            metadata[5 + 2 * num_dims + output_shape_len + num_reduce_dims];                       \
        size_t num_els = 1;                                                                        \
        for (size_t i = 0; i < output_shape_len; i++) {                                            \
            num_els *= output_shape[i];                                                            \
        }                                                                                          \
                                                                                                   \
        for (size_t output_idx = 0; output_idx < num_els; output_idx++) {                          \
            bool result = false;                                                                   \
                                                                                                   \
            size_t output_indices[16];                                                             \
            size_t temp = output_idx;                                                              \
            for (int d = (int)output_shape_len - 1; d >= 0; d--) {                                 \
                output_indices[d] = temp % output_shape[d];                                        \
                temp /= output_shape[d];                                                           \
            }                                                                                      \
                                                                                                   \
            size_t input_indices[16];                                                              \
            if (keep_dim) {                                                                        \
                for (size_t i = 0; i < num_dims; i++) {                                            \
                    input_indices[i] = output_indices[i];                                          \
                }                                                                                  \
            } else {                                                                               \
                size_t out_idx = 0;                                                                \
                for (size_t in_dim = 0; in_dim < num_dims; in_dim++) {                             \
                    bool is_reduced = false;                                                       \
                    for (size_t r = 0; r < num_reduce_dims; r++) {                                 \
                        if (reduce_dims[r] == in_dim) {                                            \
                            is_reduced = true;                                                     \
                            break;                                                                 \
                        }                                                                          \
                    }                                                                              \
                    if (is_reduced) {                                                              \
                        input_indices[in_dim] = 0;                                                 \
                    } else {                                                                       \
                        input_indices[in_dim] =                                                    \
                            (out_idx < output_shape_len) ? output_indices[out_idx] : 0;            \
                        out_idx++;                                                                 \
                    }                                                                              \
                }                                                                                  \
            }                                                                                      \
                                                                                                   \
            for (size_t reduced_idx = 0; reduced_idx < reduce_size; reduced_idx++) {               \
                size_t temp_reduced = reduced_idx;                                                 \
                for (int i = (int)num_reduce_dims - 1; i >= 0; i--) {                              \
                    size_t dim = reduce_dims[i];                                                   \
                    input_indices[dim] = temp_reduced % dims[dim];                                 \
                    temp_reduced /= dims[dim];                                                     \
                }                                                                                  \
                                                                                                   \
                size_t flat_index = offset;                                                        \
                for (size_t i = 0; i < num_dims; i++) {                                            \
                    flat_index += input_indices[i] * strides[i];                                   \
                }                                                                                  \
                                                                                                   \
                if (IS_NONZERO(input[flat_index])) {                                               \
                    result = true;                                                                 \
                    break;                                                                         \
                }                                                                                  \
            }                                                                                      \
                                                                                                   \
            output[output_idx] = result;                                                           \
        }                                                                                          \
    }

// ============================================================================
// ALL REDUCTION (LOGICAL AND)
// ============================================================================
//
// Returns true if all elements are non-zero along reduce dimensions.
// Output type is always bool. Short-circuits on first false value.
//
// Metadata layout: Same as generic reduction operations

/// Macro to implement all reduction (logical AND, returns bool)
///
/// @param IN_TYPE Input C type
/// @param TYPE_SUFFIX Suffix for function naming
#define REDUCE_ALL_OP(IN_TYPE, TYPE_SUFFIX)                                                        \
    void all_##TYPE_SUFFIX(const void *input_ptr, void *output_ptr, const size_t *metadata) {      \
        const IN_TYPE *input = (const IN_TYPE *)input_ptr;                                         \
        bool *output = (bool *)output_ptr;                                                         \
                                                                                                   \
        const size_t num_dims = metadata[0];                                                       \
        const size_t *dims = metadata + 1;                                                         \
        const size_t *strides = metadata + 1 + num_dims;                                           \
        const size_t offset = metadata[1 + 2 * num_dims];                                          \
        const size_t output_shape_len = metadata[2 + 2 * num_dims];                                \
        const size_t *output_shape = metadata + 3 + 2 * num_dims;                                  \
        const size_t num_reduce_dims = metadata[3 + 2 * num_dims + output_shape_len];              \
        const size_t *reduce_dims = metadata + 4 + 2 * num_dims + output_shape_len;                \
        const size_t keep_dim_val =                                                                \
            metadata[4 + 2 * num_dims + output_shape_len + num_reduce_dims];                       \
        const bool keep_dim = (keep_dim_val != 0);                                                 \
        const size_t reduce_size =                                                                 \
            metadata[5 + 2 * num_dims + output_shape_len + num_reduce_dims];                       \
        size_t num_els = 1;                                                                        \
        for (size_t i = 0; i < output_shape_len; i++) {                                            \
            num_els *= output_shape[i];                                                            \
        }                                                                                          \
                                                                                                   \
        for (size_t output_idx = 0; output_idx < num_els; output_idx++) {                          \
            bool result = true;                                                                    \
                                                                                                   \
            size_t output_indices[16];                                                             \
            size_t temp = output_idx;                                                              \
            for (int d = (int)output_shape_len - 1; d >= 0; d--) {                                 \
                output_indices[d] = temp % output_shape[d];                                        \
                temp /= output_shape[d];                                                           \
            }                                                                                      \
                                                                                                   \
            size_t input_indices[16];                                                              \
            if (keep_dim) {                                                                        \
                for (size_t i = 0; i < num_dims; i++) {                                            \
                    input_indices[i] = output_indices[i];                                          \
                }                                                                                  \
            } else {                                                                               \
                size_t out_idx = 0;                                                                \
                for (size_t in_dim = 0; in_dim < num_dims; in_dim++) {                             \
                    bool is_reduced = false;                                                       \
                    for (size_t r = 0; r < num_reduce_dims; r++) {                                 \
                        if (reduce_dims[r] == in_dim) {                                            \
                            is_reduced = true;                                                     \
                            break;                                                                 \
                        }                                                                          \
                    }                                                                              \
                    if (is_reduced) {                                                              \
                        input_indices[in_dim] = 0;                                                 \
                    } else {                                                                       \
                        input_indices[in_dim] =                                                    \
                            (out_idx < output_shape_len) ? output_indices[out_idx] : 0;            \
                        out_idx++;                                                                 \
                    }                                                                              \
                }                                                                                  \
            }                                                                                      \
                                                                                                   \
            for (size_t reduced_idx = 0; reduced_idx < reduce_size; reduced_idx++) {               \
                size_t temp_reduced = reduced_idx;                                                 \
                for (int i = (int)num_reduce_dims - 1; i >= 0; i--) {                              \
                    size_t dim = reduce_dims[i];                                                   \
                    input_indices[dim] = temp_reduced % dims[dim];                                 \
                    temp_reduced /= dims[dim];                                                     \
                }                                                                                  \
                                                                                                   \
                size_t flat_index = offset;                                                        \
                for (size_t i = 0; i < num_dims; i++) {                                            \
                    flat_index += input_indices[i] * strides[i];                                   \
                }                                                                                  \
                                                                                                   \
                if (!IS_NONZERO(input[flat_index])) {                                              \
                    result = false;                                                                \
                    break;                                                                         \
                }                                                                                  \
            }                                                                                      \
                                                                                                   \
            output[output_idx] = result;                                                           \
        }                                                                                          \
    }

REDUCE_ANY_OP(bool, bool)
REDUCE_ANY_OP(f8e4m3_t, f8e4m3)
REDUCE_ANY_OP(f8e5m2_t, f8e5m2)
REDUCE_ANY_OP(bf16_t, bf16)
REDUCE_ANY_OP(f16_t, f16)
REDUCE_ANY_OP(f32_t, f32)
REDUCE_ANY_OP(f64_t, f64)
REDUCE_ANY_OP(int8_t, i8)
REDUCE_ANY_OP(int16_t, i16)
REDUCE_ANY_OP(int32_t, i32)
REDUCE_ANY_OP(int64_t, i64)
REDUCE_ANY_OP(uint8_t, u8)
REDUCE_ANY_OP(uint16_t, u16)
REDUCE_ANY_OP(uint32_t, u32)
REDUCE_ANY_OP(uint64_t, u64)

REDUCE_ALL_OP(bool, bool)
REDUCE_ALL_OP(f8e4m3_t, f8e4m3)
REDUCE_ALL_OP(f8e5m2_t, f8e5m2)
REDUCE_ALL_OP(bf16_t, bf16)
REDUCE_ALL_OP(f16_t, f16)
REDUCE_ALL_OP(f32_t, f32)
REDUCE_ALL_OP(f64_t, f64)
REDUCE_ALL_OP(int8_t, i8)
REDUCE_ALL_OP(int16_t, i16)
REDUCE_ALL_OP(int32_t, i32)
REDUCE_ALL_OP(int64_t, i64)
REDUCE_ALL_OP(uint8_t, u8)
REDUCE_ALL_OP(uint16_t, u16)
REDUCE_ALL_OP(uint32_t, u32)
REDUCE_ALL_OP(uint64_t, u64)