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#include <stdio.h>
#include <stdint.h>
#include <stdlib.h>
#include <stdbool.h>
#include <string.h>
#include <math.h>
// These are the wrapper macros used in arith_lists.h. Preset them to empty to
// avoid having to touch macros unrelated to the particular operation set below.
#define LIST_BINOP(name, id, hsop)
#define LIST_FBINOP(name, id, hsop)
#define LIST_UNOP(name, id, _)
#define LIST_FUNOP(name, id, _)
#define LIST_REDOP(name, id, _)
// Shorter names, due to CPP used both in function names and in C types.
typedef int32_t i32;
typedef int64_t i64;
/*****************************************************************************
* Additional math functions *
*****************************************************************************/
#define GEN_ABS(x) \
_Generic((x), \
int: abs, \
long: labs, \
long long: llabs, \
float: fabsf, \
double: fabs)(x)
// This does not result in multiple loads with GCC 13.
#define GEN_SIGNUM(x) ((x) < 0 ? -1 : (x) > 0 ? 1 : 0)
#define GEN_POW(x, y) _Generic((x), float: powf, double: pow)(x, y)
#define GEN_LOGBASE(x, y) _Generic((x), float: logf(y) / logf(x), double: log(y) / log(x))
#define GEN_EXP(x) _Generic((x), float: expf, double: exp)(x)
#define GEN_LOG(x) _Generic((x), float: logf, double: log)(x)
#define GEN_SQRT(x) _Generic((x), float: sqrtf, double: sqrt)(x)
#define GEN_SIN(x) _Generic((x), float: sinf, double: sin)(x)
#define GEN_COS(x) _Generic((x), float: cosf, double: cos)(x)
#define GEN_TAN(x) _Generic((x), float: tanf, double: tan)(x)
#define GEN_ASIN(x) _Generic((x), float: asinf, double: asin)(x)
#define GEN_ACOS(x) _Generic((x), float: acosf, double: acos)(x)
#define GEN_ATAN(x) _Generic((x), float: atanf, double: atan)(x)
#define GEN_SINH(x) _Generic((x), float: sinhf, double: sinh)(x)
#define GEN_COSH(x) _Generic((x), float: coshf, double: cosh)(x)
#define GEN_TANH(x) _Generic((x), float: tanhf, double: tanh)(x)
#define GEN_ASINH(x) _Generic((x), float: asinhf, double: asinh)(x)
#define GEN_ACOSH(x) _Generic((x), float: acoshf, double: acosh)(x)
#define GEN_ATANH(x) _Generic((x), float: atanhf, double: atanh)(x)
#define GEN_LOG1P(x) _Generic((x), float: log1pf, double: log1p)(x)
#define GEN_EXPM1(x) _Generic((x), float: expm1f, double: expm1)(x)
// Taken from Haskell's implementation:
// https://hackage.haskell.org/package/ghc-internal-9.1001.0/docs/src//GHC.Internal.Float.html#log1mexpOrd
#define LOG1MEXP_IMPL(x) do { \
if (x > _Generic((x), float: logf, double: log)(2)) return GEN_LOG(-GEN_EXPM1(x)); \
else return GEN_LOG1P(-GEN_EXP(x)); \
} while (0)
static float log1mexp_float(float x) { LOG1MEXP_IMPL(x); }
static double log1mexp_double(double x) { LOG1MEXP_IMPL(x); }
#define GEN_LOG1MEXP(x) _Generic((x), float: log1mexp_float, double: log1mexp_double)(x)
// Taken from Haskell's implementation:
// https://hackage.haskell.org/package/ghc-internal-9.1001.0/docs/src//GHC.Internal.Float.html#line-595
#define LOG1PEXP_IMPL(x) do { \
if (x <= 18) return GEN_LOG1P(GEN_EXP(x)); \
if (x <= 100) return x + GEN_EXP(-x); \
return x; \
} while (0)
static float log1pexp_float(float x) { LOG1PEXP_IMPL(x); }
static double log1pexp_double(double x) { LOG1PEXP_IMPL(x); }
#define GEN_LOG1PEXP(x) _Generic((x), float: log1pexp_float, double: log1pexp_double)(x)
/*****************************************************************************
* Kernel functions *
*****************************************************************************/
#define COMM_OP(name, op, typ) \
static void oxarop_op_ ## name ## _ ## typ ## _sv(i64 n, typ *out, typ x, const typ *y) { \
for (i64 i = 0; i < n; i++) out[i] = x op y[i]; \
} \
static void oxarop_op_ ## name ## _ ## typ ## _vv(i64 n, typ *out, const typ *x, const typ *y) { \
for (i64 i = 0; i < n; i++) out[i] = x[i] op y[i]; \
}
#define NONCOMM_OP(name, op, typ) \
COMM_OP(name, op, typ) \
static void oxarop_op_ ## name ## _ ## typ ## _vs(i64 n, typ *out, const typ *x, typ y) { \
for (i64 i = 0; i < n; i++) out[i] = x[i] op y; \
}
#define PREFIX_BINOP(name, op, typ) \
static void oxarop_op_ ## name ## _ ## typ ## _sv(i64 n, typ *out, typ x, const typ *y) { \
for (i64 i = 0; i < n; i++) out[i] = op(x, y[i]); \
} \
static void oxarop_op_ ## name ## _ ## typ ## _vv(i64 n, typ *out, const typ *x, const typ *y) { \
for (i64 i = 0; i < n; i++) out[i] = op(x[i], y[i]); \
} \
static void oxarop_op_ ## name ## _ ## typ ## _vs(i64 n, typ *out, const typ *x, typ y) { \
for (i64 i = 0; i < n; i++) out[i] = op(x[i], y); \
}
#define UNARY_OP(name, op, typ) \
static void oxarop_op_ ## name ## _ ## typ(i64 n, typ *out, const typ *x) { \
for (i64 i = 0; i < n; i++) out[i] = op(x[i]); \
}
// Walk a orthotope-style strided array, except for the inner dimension. The
// body is run for every "inner vector".
#define TARRAY_WALK_NOINNER(again_label_name, rank, shape, strides, body) \
do { \
i64 idx[(rank) - 1]; \
memset(idx, 0, ((rank) - 1) * sizeof(idx[0])); \
i64 arrlinidx = 0; \
i64 outlinidx = 0; \
again_label_name: \
{ \
body \
} \
for (i64 dim = (rank) - 2; dim >= 0; dim--) { \
if (++idx[dim] < (shape)[dim]) { \
arrlinidx += (strides)[dim]; \
outlinidx++; \
goto again_label_name; \
} \
arrlinidx -= (idx[dim] - 1) * (strides)[dim]; \
idx[dim] = 0; \
} \
} while (false)
// preconditions:
// - all strides are >0
// - shape is everywhere >0
// - rank is >= 1
// - out has capacity for (shape[0] * ... * shape[rank - 2]) elements
// Reduces along the innermost dimension.
// 'out' will be filled densely in linearisation order.
#define REDUCE1_OP(name, op, typ) \
static void oxarop_op_ ## name ## _ ## typ(i64 rank, const i64 *shape, const i64 *strides, typ *out, const typ *arr) { \
if (strides[rank - 1] == 1) { \
TARRAY_WALK_NOINNER(again1, rank, shape, strides, { \
typ accum = arr[arrlinidx]; \
for (i64 i = 1; i < shape[rank - 1]; i++) { \
accum = accum op arr[arrlinidx + i]; \
} \
out[outlinidx] = accum; \
}); \
} else { \
TARRAY_WALK_NOINNER(again2, rank, shape, strides, { \
typ accum = arr[arrlinidx]; \
for (i64 i = 1; i < shape[rank - 1]; i++) { \
accum = accum op arr[arrlinidx + strides[rank - 1] * i]; \
} \
out[outlinidx] = accum; \
}); \
} \
}
/*****************************************************************************
* Entry point functions *
*****************************************************************************/
__attribute__((noreturn, cold))
static void wrong_op(const char *name, int tag) {
fprintf(stderr, "ox-arrays: Invalid operation tag passed to %s C code: %d\n", name, tag);
abort();
}
enum binop_tag_t {
#undef LIST_BINOP
#define LIST_BINOP(name, id, hsop) name = id,
#include "arith_lists.h"
#undef LIST_BINOP
#define LIST_BINOP(name, id, hsop)
};
#define ENTRY_BINARY_OPS(typ) \
void oxarop_binary_ ## typ ## _sv(enum binop_tag_t tag, i64 n, typ *out, typ x, const typ *y) { \
switch (tag) { \
case BO_ADD: oxarop_op_add_ ## typ ## _sv(n, out, x, y); break; \
case BO_SUB: oxarop_op_sub_ ## typ ## _sv(n, out, x, y); break; \
case BO_MUL: oxarop_op_mul_ ## typ ## _sv(n, out, x, y); break; \
default: wrong_op("binary_sv", tag); \
} \
} \
void oxarop_binary_ ## typ ## _vs(enum binop_tag_t tag, i64 n, typ *out, const typ *x, typ y) { \
switch (tag) { \
case BO_ADD: oxarop_op_add_ ## typ ## _sv(n, out, y, x); break; \
case BO_SUB: oxarop_op_sub_ ## typ ## _vs(n, out, x, y); break; \
case BO_MUL: oxarop_op_mul_ ## typ ## _sv(n, out, y, x); break; \
default: wrong_op("binary_vs", tag); \
} \
} \
void oxarop_binary_ ## typ ## _vv(enum binop_tag_t tag, i64 n, typ *out, const typ *x, const typ *y) { \
switch (tag) { \
case BO_ADD: oxarop_op_add_ ## typ ## _vv(n, out, x, y); break; \
case BO_SUB: oxarop_op_sub_ ## typ ## _vv(n, out, x, y); break; \
case BO_MUL: oxarop_op_mul_ ## typ ## _vv(n, out, x, y); break; \
default: wrong_op("binary_vv", tag); \
} \
}
enum fbinop_tag_t {
#undef LIST_FBINOP
#define LIST_FBINOP(name, id, hsop) name = id,
#include "arith_lists.h"
#undef LIST_FBINOP
#define LIST_FBINOP(name, id, hsop)
};
#define ENTRY_FBINARY_OPS(typ) \
void oxarop_fbinary_ ## typ ## _sv(enum binop_tag_t tag, i64 n, typ *out, typ x, const typ *y) { \
switch (tag) { \
case FB_DIV: oxarop_op_fdiv_ ## typ ## _sv(n, out, x, y); break; \
case FB_POW: oxarop_op_pow_ ## typ ## _sv(n, out, x, y); break; \
case FB_LOGBASE: oxarop_op_logbase_ ## typ ## _sv(n, out, x, y); break; \
default: wrong_op("binary_sv", tag); \
} \
} \
void oxarop_fbinary_ ## typ ## _vs(enum binop_tag_t tag, i64 n, typ *out, const typ *x, typ y) { \
switch (tag) { \
case FB_DIV: oxarop_op_fdiv_ ## typ ## _vs(n, out, x, y); break; \
case FB_POW: oxarop_op_pow_ ## typ ## _vs(n, out, x, y); break; \
case FB_LOGBASE: oxarop_op_logbase_ ## typ ## _vs(n, out, x, y); break; \
default: wrong_op("binary_vs", tag); \
} \
} \
void oxarop_fbinary_ ## typ ## _vv(enum binop_tag_t tag, i64 n, typ *out, const typ *x, const typ *y) { \
switch (tag) { \
case FB_DIV: oxarop_op_fdiv_ ## typ ## _vv(n, out, x, y); break; \
case FB_POW: oxarop_op_pow_ ## typ ## _vv(n, out, x, y); break; \
case FB_LOGBASE: oxarop_op_logbase_ ## typ ## _vv(n, out, x, y); break; \
default: wrong_op("binary_vv", tag); \
} \
}
enum unop_tag_t {
#undef LIST_UNOP
#define LIST_UNOP(name, id, _) name = id,
#include "arith_lists.h"
#undef LIST_UNOP
#define LIST_UNOP(name, id, _)
};
#define ENTRY_UNARY_OPS(typ) \
void oxarop_unary_ ## typ(enum unop_tag_t tag, i64 n, typ *out, const typ *x) { \
switch (tag) { \
case UO_NEG: oxarop_op_neg_ ## typ(n, out, x); break; \
case UO_ABS: oxarop_op_abs_ ## typ(n, out, x); break; \
case UO_SIGNUM: oxarop_op_signum_ ## typ(n, out, x); break; \
default: wrong_op("unary", tag); \
} \
}
enum funop_tag_t {
#undef LIST_FUNOP
#define LIST_FUNOP(name, id, _) name = id,
#include "arith_lists.h"
#undef LIST_FUNOP
#define LIST_FUNOP(name, id, _)
};
#define ENTRY_FUNARY_OPS(typ) \
void oxarop_funary_ ## typ(enum funop_tag_t tag, i64 n, typ *out, const typ *x) { \
switch (tag) { \
case FU_RECIP: oxarop_op_recip_ ## typ(n, out, x); break; \
case FU_EXP: oxarop_op_exp_ ## typ(n, out, x); break; \
case FU_LOG: oxarop_op_log_ ## typ(n, out, x); break; \
case FU_SQRT: oxarop_op_sqrt_ ## typ(n, out, x); break; \
case FU_SIN: oxarop_op_sin_ ## typ(n, out, x); break; \
case FU_COS: oxarop_op_cos_ ## typ(n, out, x); break; \
case FU_TAN: oxarop_op_tan_ ## typ(n, out, x); break; \
case FU_ASIN: oxarop_op_asin_ ## typ(n, out, x); break; \
case FU_ACOS: oxarop_op_acos_ ## typ(n, out, x); break; \
case FU_ATAN: oxarop_op_atan_ ## typ(n, out, x); break; \
case FU_SINH: oxarop_op_sinh_ ## typ(n, out, x); break; \
case FU_COSH: oxarop_op_cosh_ ## typ(n, out, x); break; \
case FU_TANH: oxarop_op_tanh_ ## typ(n, out, x); break; \
case FU_ASINH: oxarop_op_asinh_ ## typ(n, out, x); break; \
case FU_ACOSH: oxarop_op_acosh_ ## typ(n, out, x); break; \
case FU_ATANH: oxarop_op_atanh_ ## typ(n, out, x); break; \
case FU_LOG1P: oxarop_op_log1p_ ## typ(n, out, x); break; \
case FU_EXPM1: oxarop_op_expm1_ ## typ(n, out, x); break; \
case FU_LOG1PEXP: oxarop_op_log1pexp_ ## typ(n, out, x); break; \
case FU_LOG1MEXP: oxarop_op_log1mexp_ ## typ(n, out, x); break; \
default: wrong_op("unary", tag); \
} \
}
enum redop_tag_t {
#undef LIST_REDOP
#define LIST_REDOP(name, id, _) name = id,
#include "arith_lists.h"
#undef LIST_REDOP
#define LIST_REDOP(name, id, _)
};
#define ENTRY_REDUCE_OPS(typ) \
void oxarop_reduce_ ## typ(enum redop_tag_t tag, i64 rank, const i64 *shape, const i64 *strides, typ *out, const typ *arr) { \
switch (tag) { \
case RO_SUM1: oxarop_op_sum1_ ## typ(rank, shape, strides, out, arr); break; \
case RO_PRODUCT1: oxarop_op_product1_ ## typ(rank, shape, strides, out, arr); break; \
default: wrong_op("reduce", tag); \
} \
}
/*****************************************************************************
* Generate all the functions *
*****************************************************************************/
#define FLOAT_TYPES_XLIST X(double) X(float)
#define NUM_TYPES_XLIST X(i32) X(i64) FLOAT_TYPES_XLIST
#define X(typ) \
COMM_OP(add, +, typ) \
NONCOMM_OP(sub, -, typ) \
COMM_OP(mul, *, typ) \
UNARY_OP(neg, -, typ) \
UNARY_OP(abs, GEN_ABS, typ) \
UNARY_OP(signum, GEN_SIGNUM, typ) \
REDUCE1_OP(sum1, +, typ) \
REDUCE1_OP(product1, *, typ) \
ENTRY_BINARY_OPS(typ) \
ENTRY_UNARY_OPS(typ) \
ENTRY_REDUCE_OPS(typ)
NUM_TYPES_XLIST
#undef X
#define X(typ) \
NONCOMM_OP(fdiv, /, typ) \
PREFIX_BINOP(pow, GEN_POW, typ) \
PREFIX_BINOP(logbase, GEN_LOGBASE, typ) \
UNARY_OP(recip, 1.0/, typ) \
UNARY_OP(exp, GEN_EXP, typ) \
UNARY_OP(log, GEN_LOG, typ) \
UNARY_OP(sqrt, GEN_SQRT, typ) \
UNARY_OP(sin, GEN_SIN, typ) \
UNARY_OP(cos, GEN_COS, typ) \
UNARY_OP(tan, GEN_TAN, typ) \
UNARY_OP(asin, GEN_ASIN, typ) \
UNARY_OP(acos, GEN_ACOS, typ) \
UNARY_OP(atan, GEN_ATAN, typ) \
UNARY_OP(sinh, GEN_SINH, typ) \
UNARY_OP(cosh, GEN_COSH, typ) \
UNARY_OP(tanh, GEN_TANH, typ) \
UNARY_OP(asinh, GEN_ASINH, typ) \
UNARY_OP(acosh, GEN_ACOSH, typ) \
UNARY_OP(atanh, GEN_ATANH, typ) \
UNARY_OP(log1p, GEN_LOG1P, typ) \
UNARY_OP(expm1, GEN_EXPM1, typ) \
UNARY_OP(log1pexp, GEN_LOG1PEXP, typ) \
UNARY_OP(log1mexp, GEN_LOG1MEXP, typ) \
ENTRY_FBINARY_OPS(typ) \
ENTRY_FUNARY_OPS(typ)
FLOAT_TYPES_XLIST
#undef X
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