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/**
* @brief Scalar types for NumKong low-precision types.
* @file python/types.c
*
* Pure Python C API implementation of bfloat16, float8_e4m3, and float8_e5m2.
* These work without NumPy - they're standalone Python objects.
* All arithmetic is performed through float32 using the conversion functions
* defined in numkong/types.h.
*
* Usage:
* nk.bfloat16(3.14) → create a bfloat16 scalar
* float(nk.bfloat16(3.14)) → convert back to Python float
* nk.bfloat16(1.0) + nk.bfloat16(2.0) → arithmetic
*/
#include "types.h"
#include <structmember.h>
#include <stdio.h>
static inline PyObject *richcompare_from_int(int comparison_result, int python_opcode) {
int r;
switch (python_opcode) {
case Py_LT: r = comparison_result < 0; break;
case Py_LE: r = comparison_result <= 0; break;
case Py_EQ: r = comparison_result == 0; break;
case Py_NE: r = comparison_result != 0; break;
case Py_GT: r = comparison_result > 0; break;
case Py_GE: r = comparison_result >= 0; break;
default: Py_RETURN_NOTIMPLEMENTED;
}
if (r) Py_RETURN_TRUE;
Py_RETURN_FALSE;
}
static PyObject *NkBFloat16Scalar_new(PyTypeObject *type, PyObject *args, PyObject *kwds) {
NkBFloat16ScalarObject *self = (NkBFloat16ScalarObject *)type->tp_alloc(type, 0);
if (self == NULL) return NULL;
double value = 0.0;
Py_ssize_t nargs = PyTuple_GET_SIZE(args);
if (nargs > 1) {
Py_DECREF(self);
PyErr_SetString(PyExc_TypeError, "bfloat16() takes at most 1 argument");
return NULL;
}
if (nargs == 1) {
value = PyFloat_AsDouble(PyTuple_GET_ITEM(args, 0));
if (value == -1.0 && PyErr_Occurred()) {
Py_DECREF(self);
return NULL;
}
}
nk_f32_t f32_val = (nk_f32_t)value;
nk_f32_to_bf16(&f32_val, &self->value);
return (PyObject *)self;
}
static PyObject *NkBFloat16Scalar_repr(NkBFloat16ScalarObject *self) {
nk_f32_t f32_val;
nk_bf16_to_f32(&self->value, &f32_val);
char buf[64];
snprintf(buf, sizeof(buf), "bfloat16(%.6g)", (double)f32_val);
return PyUnicode_FromString(buf);
}
static PyObject *NkBFloat16Scalar_str(NkBFloat16ScalarObject *self) {
nk_f32_t f32_val;
nk_bf16_to_f32(&self->value, &f32_val);
char buf[32];
snprintf(buf, sizeof(buf), "%.6g", (double)f32_val);
return PyUnicode_FromString(buf);
}
static PyObject *NkBFloat16Scalar_float(NkBFloat16ScalarObject *self) {
nk_f32_t f32_val;
nk_bf16_to_f32(&self->value, &f32_val);
return PyFloat_FromDouble((double)f32_val);
}
static PyObject *NkBFloat16Scalar_int(NkBFloat16ScalarObject *self) {
nk_f32_t f32_val;
nk_bf16_to_f32(&self->value, &f32_val);
return PyLong_FromDouble((double)f32_val);
}
static Py_hash_t NkBFloat16Scalar_hash(NkBFloat16ScalarObject *self) {
nk_f32_t f32_val;
nk_bf16_to_f32(&self->value, &f32_val);
#if PY_VERSION_HEX >= 0x030A00F0
return _Py_HashDouble(NULL, (double)f32_val);
#else
return _Py_HashDouble((double)f32_val);
#endif
}
static PyObject *NkBFloat16Scalar_richcompare(PyObject *self, PyObject *other, int op) {
if (Py_TYPE(self) == &NkBFloat16Scalar_Type && Py_TYPE(other) == &NkBFloat16Scalar_Type)
return richcompare_from_int(
nk_bf16_order(((NkBFloat16ScalarObject *)self)->value, ((NkBFloat16ScalarObject *)other)->value), op);
nk_fui64_t a_fui64, b_fui64;
nk_f32_t temporary_f32;
if (Py_TYPE(self) == &NkBFloat16Scalar_Type)
nk_bf16_to_f32(&((NkBFloat16ScalarObject *)self)->value, &temporary_f32), a_fui64.f = temporary_f32;
else if (PyFloat_Check(self)) a_fui64.f = PyFloat_AS_DOUBLE(self);
else if (PyLong_Check(self)) a_fui64.f = PyLong_AsDouble(self);
else Py_RETURN_NOTIMPLEMENTED;
if (Py_TYPE(other) == &NkBFloat16Scalar_Type)
nk_bf16_to_f32(&((NkBFloat16ScalarObject *)other)->value, &temporary_f32), b_fui64.f = temporary_f32;
else if (PyFloat_Check(other)) b_fui64.f = PyFloat_AS_DOUBLE(other);
else if (PyLong_Check(other)) b_fui64.f = PyLong_AsDouble(other);
else Py_RETURN_NOTIMPLEMENTED;
return richcompare_from_int((a_fui64.f > b_fui64.f) - (a_fui64.f < b_fui64.f), op);
}
static PyObject *NkBFloat16Scalar_add(PyObject *self, PyObject *other) {
nk_f32_t a, b, result;
if (Py_TYPE(self) == &NkBFloat16Scalar_Type) nk_bf16_to_f32(&((NkBFloat16ScalarObject *)self)->value, &a);
else if (PyFloat_Check(self)) a = (nk_f32_t)PyFloat_AS_DOUBLE(self);
else if (PyLong_Check(self)) a = (nk_f32_t)PyLong_AsDouble(self);
else Py_RETURN_NOTIMPLEMENTED;
if (Py_TYPE(other) == &NkBFloat16Scalar_Type) nk_bf16_to_f32(&((NkBFloat16ScalarObject *)other)->value, &b);
else if (PyFloat_Check(other)) b = (nk_f32_t)PyFloat_AS_DOUBLE(other);
else if (PyLong_Check(other)) b = (nk_f32_t)PyLong_AsDouble(other);
else Py_RETURN_NOTIMPLEMENTED;
result = a + b;
NkBFloat16ScalarObject *res = PyObject_New(NkBFloat16ScalarObject, &NkBFloat16Scalar_Type);
if (res == NULL) return NULL;
nk_f32_to_bf16(&result, &res->value);
return (PyObject *)res;
}
static PyObject *NkBFloat16Scalar_sub(PyObject *self, PyObject *other) {
nk_f32_t a, b, result;
if (Py_TYPE(self) == &NkBFloat16Scalar_Type) nk_bf16_to_f32(&((NkBFloat16ScalarObject *)self)->value, &a);
else if (PyFloat_Check(self)) a = (nk_f32_t)PyFloat_AS_DOUBLE(self);
else if (PyLong_Check(self)) a = (nk_f32_t)PyLong_AsDouble(self);
else Py_RETURN_NOTIMPLEMENTED;
if (Py_TYPE(other) == &NkBFloat16Scalar_Type) nk_bf16_to_f32(&((NkBFloat16ScalarObject *)other)->value, &b);
else if (PyFloat_Check(other)) b = (nk_f32_t)PyFloat_AS_DOUBLE(other);
else if (PyLong_Check(other)) b = (nk_f32_t)PyLong_AsDouble(other);
else Py_RETURN_NOTIMPLEMENTED;
result = a - b;
NkBFloat16ScalarObject *res = PyObject_New(NkBFloat16ScalarObject, &NkBFloat16Scalar_Type);
if (res == NULL) return NULL;
nk_f32_to_bf16(&result, &res->value);
return (PyObject *)res;
}
static PyObject *NkBFloat16Scalar_mul(PyObject *self, PyObject *other) {
nk_f32_t a, b, result;
if (Py_TYPE(self) == &NkBFloat16Scalar_Type) nk_bf16_to_f32(&((NkBFloat16ScalarObject *)self)->value, &a);
else if (PyFloat_Check(self)) a = (nk_f32_t)PyFloat_AS_DOUBLE(self);
else if (PyLong_Check(self)) a = (nk_f32_t)PyLong_AsDouble(self);
else Py_RETURN_NOTIMPLEMENTED;
if (Py_TYPE(other) == &NkBFloat16Scalar_Type) nk_bf16_to_f32(&((NkBFloat16ScalarObject *)other)->value, &b);
else if (PyFloat_Check(other)) b = (nk_f32_t)PyFloat_AS_DOUBLE(other);
else if (PyLong_Check(other)) b = (nk_f32_t)PyLong_AsDouble(other);
else Py_RETURN_NOTIMPLEMENTED;
result = a * b;
NkBFloat16ScalarObject *res = PyObject_New(NkBFloat16ScalarObject, &NkBFloat16Scalar_Type);
if (res == NULL) return NULL;
nk_f32_to_bf16(&result, &res->value);
return (PyObject *)res;
}
static PyObject *NkBFloat16Scalar_div(PyObject *self, PyObject *other) {
nk_f32_t a, b, result;
if (Py_TYPE(self) == &NkBFloat16Scalar_Type) nk_bf16_to_f32(&((NkBFloat16ScalarObject *)self)->value, &a);
else if (PyFloat_Check(self)) a = (nk_f32_t)PyFloat_AS_DOUBLE(self);
else if (PyLong_Check(self)) a = (nk_f32_t)PyLong_AsDouble(self);
else Py_RETURN_NOTIMPLEMENTED;
if (Py_TYPE(other) == &NkBFloat16Scalar_Type) nk_bf16_to_f32(&((NkBFloat16ScalarObject *)other)->value, &b);
else if (PyFloat_Check(other)) b = (nk_f32_t)PyFloat_AS_DOUBLE(other);
else if (PyLong_Check(other)) b = (nk_f32_t)PyLong_AsDouble(other);
else Py_RETURN_NOTIMPLEMENTED;
if (b == 0.0f) {
PyErr_SetString(PyExc_ZeroDivisionError, "bfloat16 division by zero");
return NULL;
}
result = a / b;
NkBFloat16ScalarObject *res = PyObject_New(NkBFloat16ScalarObject, &NkBFloat16Scalar_Type);
if (res == NULL) return NULL;
nk_f32_to_bf16(&result, &res->value);
return (PyObject *)res;
}
static PyObject *NkBFloat16Scalar_neg(NkBFloat16ScalarObject *self) {
nk_f32_t f32_val;
nk_bf16_to_f32(&self->value, &f32_val);
f32_val = -f32_val;
NkBFloat16ScalarObject *res = PyObject_New(NkBFloat16ScalarObject, &NkBFloat16Scalar_Type);
if (res == NULL) return NULL;
nk_f32_to_bf16(&f32_val, &res->value);
return (PyObject *)res;
}
static PyObject *NkBFloat16Scalar_pos(NkBFloat16ScalarObject *self) {
Py_INCREF(self);
return (PyObject *)self;
}
static PyObject *NkBFloat16Scalar_abs(NkBFloat16ScalarObject *self) {
nk_f32_t f32_val;
nk_bf16_to_f32(&self->value, &f32_val);
if (f32_val < 0) f32_val = -f32_val;
NkBFloat16ScalarObject *res = PyObject_New(NkBFloat16ScalarObject, &NkBFloat16Scalar_Type);
if (res == NULL) return NULL;
nk_f32_to_bf16(&f32_val, &res->value);
return (PyObject *)res;
}
static int NkBFloat16Scalar_bool(NkBFloat16ScalarObject *self) {
nk_f32_t f32_val;
nk_bf16_to_f32(&self->value, &f32_val);
return f32_val != 0.0f;
}
static PyNumberMethods NkBFloat16Scalar_as_number = {
.nb_add = NkBFloat16Scalar_add,
.nb_subtract = NkBFloat16Scalar_sub,
.nb_multiply = NkBFloat16Scalar_mul,
.nb_true_divide = NkBFloat16Scalar_div,
.nb_negative = (unaryfunc)NkBFloat16Scalar_neg,
.nb_positive = (unaryfunc)NkBFloat16Scalar_pos,
.nb_absolute = (unaryfunc)NkBFloat16Scalar_abs,
.nb_bool = (inquiry)NkBFloat16Scalar_bool,
.nb_float = (unaryfunc)NkBFloat16Scalar_float,
.nb_int = (unaryfunc)NkBFloat16Scalar_int,
};
static char const doc_bfloat16[] = //
"BFloat16 (16-bit) floating-point scalar.\n" //
"\n" //
"Layout: sign(1) + exponent(8) + mantissa(7), bias=127.\n" //
"Range: ±3.39e38 (same dynamic range as f32), epsilon at 1.0: ~7.81e-3.\n" //
"32,514 of 65,280 finite values (49.8%%) fall in [-1, +1].\n" //
"Wider dynamic range than float16 but lower precision (7 vs 10 mantissa bits).";
PyTypeObject NkBFloat16Scalar_Type = {
PyVarObject_HEAD_INIT(NULL, 0).tp_name = "numkong.bfloat16",
.tp_basicsize = sizeof(NkBFloat16ScalarObject),
.tp_flags = Py_TPFLAGS_DEFAULT,
.tp_new = NkBFloat16Scalar_new,
.tp_repr = (reprfunc)NkBFloat16Scalar_repr,
.tp_str = (reprfunc)NkBFloat16Scalar_str,
.tp_hash = (hashfunc)NkBFloat16Scalar_hash,
.tp_richcompare = NkBFloat16Scalar_richcompare,
.tp_as_number = &NkBFloat16Scalar_as_number,
.tp_doc = doc_bfloat16,
};
static PyObject *NkFloat8E4M3Scalar_new(PyTypeObject *type, PyObject *args, PyObject *kwds) {
NkFloat8E4M3ScalarObject *self = (NkFloat8E4M3ScalarObject *)type->tp_alloc(type, 0);
if (self == NULL) return NULL;
double value = 0.0;
Py_ssize_t nargs = PyTuple_GET_SIZE(args);
if (nargs > 1) {
Py_DECREF(self);
PyErr_SetString(PyExc_TypeError, "float8_e4m3() takes at most 1 argument");
return NULL;
}
if (nargs == 1) {
value = PyFloat_AsDouble(PyTuple_GET_ITEM(args, 0));
if (value == -1.0 && PyErr_Occurred()) {
Py_DECREF(self);
return NULL;
}
}
nk_f32_t f32_val = (nk_f32_t)value;
nk_f32_to_e4m3(&f32_val, &self->value);
return (PyObject *)self;
}
static PyObject *NkFloat8E4M3Scalar_repr(NkFloat8E4M3ScalarObject *self) {
nk_f32_t f32_val;
nk_e4m3_to_f32(&self->value, &f32_val);
char buf[64];
snprintf(buf, sizeof(buf), "float8_e4m3(%.6g)", (double)f32_val);
return PyUnicode_FromString(buf);
}
static PyObject *NkFloat8E4M3Scalar_str(NkFloat8E4M3ScalarObject *self) {
nk_f32_t f32_val;
nk_e4m3_to_f32(&self->value, &f32_val);
char buf[32];
snprintf(buf, sizeof(buf), "%.6g", (double)f32_val);
return PyUnicode_FromString(buf);
}
static PyObject *NkFloat8E4M3Scalar_float(NkFloat8E4M3ScalarObject *self) {
nk_f32_t f32_val;
nk_e4m3_to_f32(&self->value, &f32_val);
return PyFloat_FromDouble((double)f32_val);
}
static PyObject *NkFloat8E4M3Scalar_int(NkFloat8E4M3ScalarObject *self) {
nk_f32_t f32_val;
nk_e4m3_to_f32(&self->value, &f32_val);
return PyLong_FromDouble((double)f32_val);
}
static Py_hash_t NkFloat8E4M3Scalar_hash(NkFloat8E4M3ScalarObject *self) {
nk_f32_t f32_val;
nk_e4m3_to_f32(&self->value, &f32_val);
#if PY_VERSION_HEX >= 0x030A00F0
return _Py_HashDouble(NULL, (double)f32_val);
#else
return _Py_HashDouble((double)f32_val);
#endif
}
static PyObject *NkFloat8E4M3Scalar_richcompare(PyObject *self, PyObject *other, int op) {
if (Py_TYPE(self) == &NkFloat8E4M3Scalar_Type && Py_TYPE(other) == &NkFloat8E4M3Scalar_Type)
return richcompare_from_int(
nk_e4m3_order(((NkFloat8E4M3ScalarObject *)self)->value, ((NkFloat8E4M3ScalarObject *)other)->value), op);
nk_fui64_t a_fui64, b_fui64;
nk_f32_t temporary_f32;
if (Py_TYPE(self) == &NkFloat8E4M3Scalar_Type)
nk_e4m3_to_f32(&((NkFloat8E4M3ScalarObject *)self)->value, &temporary_f32), a_fui64.f = temporary_f32;
else if (PyFloat_Check(self)) a_fui64.f = PyFloat_AS_DOUBLE(self);
else if (PyLong_Check(self)) a_fui64.f = PyLong_AsDouble(self);
else Py_RETURN_NOTIMPLEMENTED;
if (Py_TYPE(other) == &NkFloat8E4M3Scalar_Type)
nk_e4m3_to_f32(&((NkFloat8E4M3ScalarObject *)other)->value, &temporary_f32), b_fui64.f = temporary_f32;
else if (PyFloat_Check(other)) b_fui64.f = PyFloat_AS_DOUBLE(other);
else if (PyLong_Check(other)) b_fui64.f = PyLong_AsDouble(other);
else Py_RETURN_NOTIMPLEMENTED;
return richcompare_from_int((a_fui64.f > b_fui64.f) - (a_fui64.f < b_fui64.f), op);
}
static PyObject *NkFloat8E4M3Scalar_add(PyObject *self, PyObject *other) {
nk_f32_t a, b, result;
if (Py_TYPE(self) == &NkFloat8E4M3Scalar_Type) nk_e4m3_to_f32(&((NkFloat8E4M3ScalarObject *)self)->value, &a);
else if (PyFloat_Check(self)) a = (nk_f32_t)PyFloat_AS_DOUBLE(self);
else if (PyLong_Check(self)) a = (nk_f32_t)PyLong_AsDouble(self);
else Py_RETURN_NOTIMPLEMENTED;
if (Py_TYPE(other) == &NkFloat8E4M3Scalar_Type) nk_e4m3_to_f32(&((NkFloat8E4M3ScalarObject *)other)->value, &b);
else if (PyFloat_Check(other)) b = (nk_f32_t)PyFloat_AS_DOUBLE(other);
else if (PyLong_Check(other)) b = (nk_f32_t)PyLong_AsDouble(other);
else Py_RETURN_NOTIMPLEMENTED;
result = a + b;
NkFloat8E4M3ScalarObject *res = PyObject_New(NkFloat8E4M3ScalarObject, &NkFloat8E4M3Scalar_Type);
if (res == NULL) return NULL;
nk_f32_to_e4m3(&result, &res->value);
return (PyObject *)res;
}
static PyObject *NkFloat8E4M3Scalar_sub(PyObject *self, PyObject *other) {
nk_f32_t a, b, result;
if (Py_TYPE(self) == &NkFloat8E4M3Scalar_Type) nk_e4m3_to_f32(&((NkFloat8E4M3ScalarObject *)self)->value, &a);
else if (PyFloat_Check(self)) a = (nk_f32_t)PyFloat_AS_DOUBLE(self);
else if (PyLong_Check(self)) a = (nk_f32_t)PyLong_AsDouble(self);
else Py_RETURN_NOTIMPLEMENTED;
if (Py_TYPE(other) == &NkFloat8E4M3Scalar_Type) nk_e4m3_to_f32(&((NkFloat8E4M3ScalarObject *)other)->value, &b);
else if (PyFloat_Check(other)) b = (nk_f32_t)PyFloat_AS_DOUBLE(other);
else if (PyLong_Check(other)) b = (nk_f32_t)PyLong_AsDouble(other);
else Py_RETURN_NOTIMPLEMENTED;
result = a - b;
NkFloat8E4M3ScalarObject *res = PyObject_New(NkFloat8E4M3ScalarObject, &NkFloat8E4M3Scalar_Type);
if (res == NULL) return NULL;
nk_f32_to_e4m3(&result, &res->value);
return (PyObject *)res;
}
static PyObject *NkFloat8E4M3Scalar_mul(PyObject *self, PyObject *other) {
nk_f32_t a, b, result;
if (Py_TYPE(self) == &NkFloat8E4M3Scalar_Type) nk_e4m3_to_f32(&((NkFloat8E4M3ScalarObject *)self)->value, &a);
else if (PyFloat_Check(self)) a = (nk_f32_t)PyFloat_AS_DOUBLE(self);
else if (PyLong_Check(self)) a = (nk_f32_t)PyLong_AsDouble(self);
else Py_RETURN_NOTIMPLEMENTED;
if (Py_TYPE(other) == &NkFloat8E4M3Scalar_Type) nk_e4m3_to_f32(&((NkFloat8E4M3ScalarObject *)other)->value, &b);
else if (PyFloat_Check(other)) b = (nk_f32_t)PyFloat_AS_DOUBLE(other);
else if (PyLong_Check(other)) b = (nk_f32_t)PyLong_AsDouble(other);
else Py_RETURN_NOTIMPLEMENTED;
result = a * b;
NkFloat8E4M3ScalarObject *res = PyObject_New(NkFloat8E4M3ScalarObject, &NkFloat8E4M3Scalar_Type);
if (res == NULL) return NULL;
nk_f32_to_e4m3(&result, &res->value);
return (PyObject *)res;
}
static PyObject *NkFloat8E4M3Scalar_div(PyObject *self, PyObject *other) {
nk_f32_t a, b, result;
if (Py_TYPE(self) == &NkFloat8E4M3Scalar_Type) nk_e4m3_to_f32(&((NkFloat8E4M3ScalarObject *)self)->value, &a);
else if (PyFloat_Check(self)) a = (nk_f32_t)PyFloat_AS_DOUBLE(self);
else if (PyLong_Check(self)) a = (nk_f32_t)PyLong_AsDouble(self);
else Py_RETURN_NOTIMPLEMENTED;
if (Py_TYPE(other) == &NkFloat8E4M3Scalar_Type) nk_e4m3_to_f32(&((NkFloat8E4M3ScalarObject *)other)->value, &b);
else if (PyFloat_Check(other)) b = (nk_f32_t)PyFloat_AS_DOUBLE(other);
else if (PyLong_Check(other)) b = (nk_f32_t)PyLong_AsDouble(other);
else Py_RETURN_NOTIMPLEMENTED;
if (b == 0.0f) {
PyErr_SetString(PyExc_ZeroDivisionError, "float8_e4m3 division by zero");
return NULL;
}
result = a / b;
NkFloat8E4M3ScalarObject *res = PyObject_New(NkFloat8E4M3ScalarObject, &NkFloat8E4M3Scalar_Type);
if (res == NULL) return NULL;
nk_f32_to_e4m3(&result, &res->value);
return (PyObject *)res;
}
static PyObject *NkFloat8E4M3Scalar_neg(NkFloat8E4M3ScalarObject *self) {
nk_f32_t f32_val;
nk_e4m3_to_f32(&self->value, &f32_val);
f32_val = -f32_val;
NkFloat8E4M3ScalarObject *res = PyObject_New(NkFloat8E4M3ScalarObject, &NkFloat8E4M3Scalar_Type);
if (res == NULL) return NULL;
nk_f32_to_e4m3(&f32_val, &res->value);
return (PyObject *)res;
}
static PyObject *NkFloat8E4M3Scalar_pos(NkFloat8E4M3ScalarObject *self) {
Py_INCREF(self);
return (PyObject *)self;
}
static PyObject *NkFloat8E4M3Scalar_abs(NkFloat8E4M3ScalarObject *self) {
nk_f32_t f32_val;
nk_e4m3_to_f32(&self->value, &f32_val);
if (f32_val < 0) f32_val = -f32_val;
NkFloat8E4M3ScalarObject *res = PyObject_New(NkFloat8E4M3ScalarObject, &NkFloat8E4M3Scalar_Type);
if (res == NULL) return NULL;
nk_f32_to_e4m3(&f32_val, &res->value);
return (PyObject *)res;
}
static int NkFloat8E4M3Scalar_bool(NkFloat8E4M3ScalarObject *self) {
nk_f32_t f32_val;
nk_e4m3_to_f32(&self->value, &f32_val);
return f32_val != 0.0f;
}
static PyNumberMethods NkFloat8E4M3Scalar_as_number = {
.nb_add = NkFloat8E4M3Scalar_add,
.nb_subtract = NkFloat8E4M3Scalar_sub,
.nb_multiply = NkFloat8E4M3Scalar_mul,
.nb_true_divide = NkFloat8E4M3Scalar_div,
.nb_negative = (unaryfunc)NkFloat8E4M3Scalar_neg,
.nb_positive = (unaryfunc)NkFloat8E4M3Scalar_pos,
.nb_absolute = (unaryfunc)NkFloat8E4M3Scalar_abs,
.nb_bool = (inquiry)NkFloat8E4M3Scalar_bool,
.nb_float = (unaryfunc)NkFloat8E4M3Scalar_float,
.nb_int = (unaryfunc)NkFloat8E4M3Scalar_int,
};
static char const doc_float8_e4m3[] = //
"8-bit E4M3 (OCP FP8) floating-point scalar.\n" //
"\n" //
"Layout: sign(1) + exponent(4) + mantissa(3), bias=7.\n" //
"Range: ±448, no infinities (all-ones exponent = NaN).\n" //
"114 of 254 finite values (44.9%%) fall in [-1, +1].\n" //
"Exact integer dot products via exponent-sum binning (29 bins).";
PyTypeObject NkFloat8E4M3Scalar_Type = {
PyVarObject_HEAD_INIT(NULL, 0).tp_name = "numkong.float8_e4m3",
.tp_basicsize = sizeof(NkFloat8E4M3ScalarObject),
.tp_flags = Py_TPFLAGS_DEFAULT,
.tp_new = NkFloat8E4M3Scalar_new,
.tp_repr = (reprfunc)NkFloat8E4M3Scalar_repr,
.tp_str = (reprfunc)NkFloat8E4M3Scalar_str,
.tp_hash = (hashfunc)NkFloat8E4M3Scalar_hash,
.tp_richcompare = NkFloat8E4M3Scalar_richcompare,
.tp_as_number = &NkFloat8E4M3Scalar_as_number,
.tp_doc = doc_float8_e4m3,
};
static PyObject *NkFloat8E5M2Scalar_new(PyTypeObject *type, PyObject *args, PyObject *kwds) {
NkFloat8E5M2ScalarObject *self = (NkFloat8E5M2ScalarObject *)type->tp_alloc(type, 0);
if (self == NULL) return NULL;
double value = 0.0;
Py_ssize_t nargs = PyTuple_GET_SIZE(args);
if (nargs > 1) {
Py_DECREF(self);
PyErr_SetString(PyExc_TypeError, "float8_e5m2() takes at most 1 argument");
return NULL;
}
if (nargs == 1) {
value = PyFloat_AsDouble(PyTuple_GET_ITEM(args, 0));
if (value == -1.0 && PyErr_Occurred()) {
Py_DECREF(self);
return NULL;
}
}
nk_f32_t f32_val = (nk_f32_t)value;
nk_f32_to_e5m2(&f32_val, &self->value);
return (PyObject *)self;
}
static PyObject *NkFloat8E5M2Scalar_repr(NkFloat8E5M2ScalarObject *self) {
nk_f32_t f32_val;
nk_e5m2_to_f32(&self->value, &f32_val);
char buf[64];
snprintf(buf, sizeof(buf), "float8_e5m2(%.6g)", (double)f32_val);
return PyUnicode_FromString(buf);
}
static PyObject *NkFloat8E5M2Scalar_str(NkFloat8E5M2ScalarObject *self) {
nk_f32_t f32_val;
nk_e5m2_to_f32(&self->value, &f32_val);
char buf[32];
snprintf(buf, sizeof(buf), "%.6g", (double)f32_val);
return PyUnicode_FromString(buf);
}
static PyObject *NkFloat8E5M2Scalar_float(NkFloat8E5M2ScalarObject *self) {
nk_f32_t f32_val;
nk_e5m2_to_f32(&self->value, &f32_val);
return PyFloat_FromDouble((double)f32_val);
}
static PyObject *NkFloat8E5M2Scalar_int(NkFloat8E5M2ScalarObject *self) {
nk_f32_t f32_val;
nk_e5m2_to_f32(&self->value, &f32_val);
return PyLong_FromDouble((double)f32_val);
}
static Py_hash_t NkFloat8E5M2Scalar_hash(NkFloat8E5M2ScalarObject *self) {
nk_f32_t f32_val;
nk_e5m2_to_f32(&self->value, &f32_val);
#if PY_VERSION_HEX >= 0x030A00F0
return _Py_HashDouble(NULL, (double)f32_val);
#else
return _Py_HashDouble((double)f32_val);
#endif
}
static PyObject *NkFloat8E5M2Scalar_richcompare(PyObject *self, PyObject *other, int op) {
if (Py_TYPE(self) == &NkFloat8E5M2Scalar_Type && Py_TYPE(other) == &NkFloat8E5M2Scalar_Type)
return richcompare_from_int(
nk_e5m2_order(((NkFloat8E5M2ScalarObject *)self)->value, ((NkFloat8E5M2ScalarObject *)other)->value), op);
nk_fui64_t a_fui64, b_fui64;
nk_f32_t temporary_f32;
if (Py_TYPE(self) == &NkFloat8E5M2Scalar_Type)
nk_e5m2_to_f32(&((NkFloat8E5M2ScalarObject *)self)->value, &temporary_f32), a_fui64.f = temporary_f32;
else if (PyFloat_Check(self)) a_fui64.f = PyFloat_AS_DOUBLE(self);
else if (PyLong_Check(self)) a_fui64.f = PyLong_AsDouble(self);
else Py_RETURN_NOTIMPLEMENTED;
if (Py_TYPE(other) == &NkFloat8E5M2Scalar_Type)
nk_e5m2_to_f32(&((NkFloat8E5M2ScalarObject *)other)->value, &temporary_f32), b_fui64.f = temporary_f32;
else if (PyFloat_Check(other)) b_fui64.f = PyFloat_AS_DOUBLE(other);
else if (PyLong_Check(other)) b_fui64.f = PyLong_AsDouble(other);
else Py_RETURN_NOTIMPLEMENTED;
return richcompare_from_int((a_fui64.f > b_fui64.f) - (a_fui64.f < b_fui64.f), op);
}
static PyObject *NkFloat8E5M2Scalar_add(PyObject *self, PyObject *other) {
nk_f32_t a, b, result;
if (Py_TYPE(self) == &NkFloat8E5M2Scalar_Type) nk_e5m2_to_f32(&((NkFloat8E5M2ScalarObject *)self)->value, &a);
else if (PyFloat_Check(self)) a = (nk_f32_t)PyFloat_AS_DOUBLE(self);
else if (PyLong_Check(self)) a = (nk_f32_t)PyLong_AsDouble(self);
else Py_RETURN_NOTIMPLEMENTED;
if (Py_TYPE(other) == &NkFloat8E5M2Scalar_Type) nk_e5m2_to_f32(&((NkFloat8E5M2ScalarObject *)other)->value, &b);
else if (PyFloat_Check(other)) b = (nk_f32_t)PyFloat_AS_DOUBLE(other);
else if (PyLong_Check(other)) b = (nk_f32_t)PyLong_AsDouble(other);
else Py_RETURN_NOTIMPLEMENTED;
result = a + b;
NkFloat8E5M2ScalarObject *res = PyObject_New(NkFloat8E5M2ScalarObject, &NkFloat8E5M2Scalar_Type);
if (res == NULL) return NULL;
nk_f32_to_e5m2(&result, &res->value);
return (PyObject *)res;
}
static PyObject *NkFloat8E5M2Scalar_sub(PyObject *self, PyObject *other) {
nk_f32_t a, b, result;
if (Py_TYPE(self) == &NkFloat8E5M2Scalar_Type) nk_e5m2_to_f32(&((NkFloat8E5M2ScalarObject *)self)->value, &a);
else if (PyFloat_Check(self)) a = (nk_f32_t)PyFloat_AS_DOUBLE(self);
else if (PyLong_Check(self)) a = (nk_f32_t)PyLong_AsDouble(self);
else Py_RETURN_NOTIMPLEMENTED;
if (Py_TYPE(other) == &NkFloat8E5M2Scalar_Type) nk_e5m2_to_f32(&((NkFloat8E5M2ScalarObject *)other)->value, &b);
else if (PyFloat_Check(other)) b = (nk_f32_t)PyFloat_AS_DOUBLE(other);
else if (PyLong_Check(other)) b = (nk_f32_t)PyLong_AsDouble(other);
else Py_RETURN_NOTIMPLEMENTED;
result = a - b;
NkFloat8E5M2ScalarObject *res = PyObject_New(NkFloat8E5M2ScalarObject, &NkFloat8E5M2Scalar_Type);
if (res == NULL) return NULL;
nk_f32_to_e5m2(&result, &res->value);
return (PyObject *)res;
}
static PyObject *NkFloat8E5M2Scalar_mul(PyObject *self, PyObject *other) {
nk_f32_t a, b, result;
if (Py_TYPE(self) == &NkFloat8E5M2Scalar_Type) nk_e5m2_to_f32(&((NkFloat8E5M2ScalarObject *)self)->value, &a);
else if (PyFloat_Check(self)) a = (nk_f32_t)PyFloat_AS_DOUBLE(self);
else if (PyLong_Check(self)) a = (nk_f32_t)PyLong_AsDouble(self);
else Py_RETURN_NOTIMPLEMENTED;
if (Py_TYPE(other) == &NkFloat8E5M2Scalar_Type) nk_e5m2_to_f32(&((NkFloat8E5M2ScalarObject *)other)->value, &b);
else if (PyFloat_Check(other)) b = (nk_f32_t)PyFloat_AS_DOUBLE(other);
else if (PyLong_Check(other)) b = (nk_f32_t)PyLong_AsDouble(other);
else Py_RETURN_NOTIMPLEMENTED;
result = a * b;
NkFloat8E5M2ScalarObject *res = PyObject_New(NkFloat8E5M2ScalarObject, &NkFloat8E5M2Scalar_Type);
if (res == NULL) return NULL;
nk_f32_to_e5m2(&result, &res->value);
return (PyObject *)res;
}
static PyObject *NkFloat8E5M2Scalar_div(PyObject *self, PyObject *other) {
nk_f32_t a, b, result;
if (Py_TYPE(self) == &NkFloat8E5M2Scalar_Type) nk_e5m2_to_f32(&((NkFloat8E5M2ScalarObject *)self)->value, &a);
else if (PyFloat_Check(self)) a = (nk_f32_t)PyFloat_AS_DOUBLE(self);
else if (PyLong_Check(self)) a = (nk_f32_t)PyLong_AsDouble(self);
else Py_RETURN_NOTIMPLEMENTED;
if (Py_TYPE(other) == &NkFloat8E5M2Scalar_Type) nk_e5m2_to_f32(&((NkFloat8E5M2ScalarObject *)other)->value, &b);
else if (PyFloat_Check(other)) b = (nk_f32_t)PyFloat_AS_DOUBLE(other);
else if (PyLong_Check(other)) b = (nk_f32_t)PyLong_AsDouble(other);
else Py_RETURN_NOTIMPLEMENTED;
if (b == 0.0f) {
PyErr_SetString(PyExc_ZeroDivisionError, "float8_e5m2 division by zero");
return NULL;
}
result = a / b;
NkFloat8E5M2ScalarObject *res = PyObject_New(NkFloat8E5M2ScalarObject, &NkFloat8E5M2Scalar_Type);
if (res == NULL) return NULL;
nk_f32_to_e5m2(&result, &res->value);
return (PyObject *)res;
}
static PyObject *NkFloat8E5M2Scalar_neg(NkFloat8E5M2ScalarObject *self) {
nk_f32_t f32_val;
nk_e5m2_to_f32(&self->value, &f32_val);
f32_val = -f32_val;
NkFloat8E5M2ScalarObject *res = PyObject_New(NkFloat8E5M2ScalarObject, &NkFloat8E5M2Scalar_Type);
if (res == NULL) return NULL;
nk_f32_to_e5m2(&f32_val, &res->value);
return (PyObject *)res;
}
static PyObject *NkFloat8E5M2Scalar_pos(NkFloat8E5M2ScalarObject *self) {
Py_INCREF(self);
return (PyObject *)self;
}
static PyObject *NkFloat8E5M2Scalar_abs(NkFloat8E5M2ScalarObject *self) {
nk_f32_t f32_val;
nk_e5m2_to_f32(&self->value, &f32_val);
if (f32_val < 0) f32_val = -f32_val;
NkFloat8E5M2ScalarObject *res = PyObject_New(NkFloat8E5M2ScalarObject, &NkFloat8E5M2Scalar_Type);
if (res == NULL) return NULL;
nk_f32_to_e5m2(&f32_val, &res->value);
return (PyObject *)res;
}
static int NkFloat8E5M2Scalar_bool(NkFloat8E5M2ScalarObject *self) {
nk_f32_t f32_val;
nk_e5m2_to_f32(&self->value, &f32_val);
return f32_val != 0.0f;
}
static PyNumberMethods NkFloat8E5M2Scalar_as_number = {
.nb_add = NkFloat8E5M2Scalar_add,
.nb_subtract = NkFloat8E5M2Scalar_sub,
.nb_multiply = NkFloat8E5M2Scalar_mul,
.nb_true_divide = NkFloat8E5M2Scalar_div,
.nb_negative = (unaryfunc)NkFloat8E5M2Scalar_neg,
.nb_positive = (unaryfunc)NkFloat8E5M2Scalar_pos,
.nb_absolute = (unaryfunc)NkFloat8E5M2Scalar_abs,
.nb_bool = (inquiry)NkFloat8E5M2Scalar_bool,
.nb_float = (unaryfunc)NkFloat8E5M2Scalar_float,
.nb_int = (unaryfunc)NkFloat8E5M2Scalar_int,
};
static char const doc_float8_e5m2[] = //
"8-bit E5M2 (OCP FP8) floating-point scalar.\n" //
"\n" //
"Layout: sign(1) + exponent(5) + mantissa(2), bias=15.\n" //
"Range: ±57,344, supports infinities. Only 4 mantissa levels per exponent.\n" //
"122 of 248 finite values (49.2%%) fall in [-1, +1].\n" //
"High cancellation risk in dot products.";
PyTypeObject NkFloat8E5M2Scalar_Type = {
PyVarObject_HEAD_INIT(NULL, 0).tp_name = "numkong.float8_e5m2",
.tp_basicsize = sizeof(NkFloat8E5M2ScalarObject),
.tp_flags = Py_TPFLAGS_DEFAULT,
.tp_new = NkFloat8E5M2Scalar_new,
.tp_repr = (reprfunc)NkFloat8E5M2Scalar_repr,
.tp_str = (reprfunc)NkFloat8E5M2Scalar_str,
.tp_hash = (hashfunc)NkFloat8E5M2Scalar_hash,
.tp_richcompare = NkFloat8E5M2Scalar_richcompare,
.tp_as_number = &NkFloat8E5M2Scalar_as_number,
.tp_doc = doc_float8_e5m2,
};
static PyObject *NkFloat16Scalar_new(PyTypeObject *type, PyObject *args, PyObject *kwds) {
NkFloat16ScalarObject *self = (NkFloat16ScalarObject *)type->tp_alloc(type, 0);
if (self == NULL) return NULL;
double value = 0.0;
Py_ssize_t nargs = PyTuple_GET_SIZE(args);
if (nargs > 1) {
Py_DECREF(self);
PyErr_SetString(PyExc_TypeError, "float16() takes at most 1 argument");
return NULL;
}
if (nargs == 1) {
value = PyFloat_AsDouble(PyTuple_GET_ITEM(args, 0));
if (value == -1.0 && PyErr_Occurred()) {
Py_DECREF(self);
return NULL;
}
}
nk_f32_t f32_val = (nk_f32_t)value;
nk_f32_to_f16(&f32_val, &self->value);
return (PyObject *)self;
}
static PyObject *NkFloat16Scalar_repr(NkFloat16ScalarObject *self) {
nk_f32_t f32_val;
nk_f16_to_f32(&self->value, &f32_val);
char buf[64];
snprintf(buf, sizeof(buf), "float16(%.6g)", (double)f32_val);
return PyUnicode_FromString(buf);
}
static PyObject *NkFloat16Scalar_str(NkFloat16ScalarObject *self) {
nk_f32_t f32_val;
nk_f16_to_f32(&self->value, &f32_val);
char buf[32];
snprintf(buf, sizeof(buf), "%.6g", (double)f32_val);
return PyUnicode_FromString(buf);
}
static PyObject *NkFloat16Scalar_float(NkFloat16ScalarObject *self) {
nk_f32_t f32_val;
nk_f16_to_f32(&self->value, &f32_val);
return PyFloat_FromDouble((double)f32_val);
}
static PyObject *NkFloat16Scalar_int(NkFloat16ScalarObject *self) {
nk_f32_t f32_val;
nk_f16_to_f32(&self->value, &f32_val);
return PyLong_FromDouble((double)f32_val);
}
static Py_hash_t NkFloat16Scalar_hash(NkFloat16ScalarObject *self) {
nk_f32_t f32_val;
nk_f16_to_f32(&self->value, &f32_val);
#if PY_VERSION_HEX >= 0x030A00F0
return _Py_HashDouble(NULL, (double)f32_val);
#else
return _Py_HashDouble((double)f32_val);
#endif
}
static PyObject *NkFloat16Scalar_richcompare(PyObject *self, PyObject *other, int op) {
if (Py_TYPE(self) == &NkFloat16Scalar_Type && Py_TYPE(other) == &NkFloat16Scalar_Type)
return richcompare_from_int(
nk_f16_order(((NkFloat16ScalarObject *)self)->value, ((NkFloat16ScalarObject *)other)->value), op);
nk_fui64_t a_fui64, b_fui64;
nk_f32_t temporary_f32;
if (Py_TYPE(self) == &NkFloat16Scalar_Type)
nk_f16_to_f32(&((NkFloat16ScalarObject *)self)->value, &temporary_f32), a_fui64.f = temporary_f32;
else if (PyFloat_Check(self)) a_fui64.f = PyFloat_AS_DOUBLE(self);
else if (PyLong_Check(self)) a_fui64.f = PyLong_AsDouble(self);
else Py_RETURN_NOTIMPLEMENTED;
if (Py_TYPE(other) == &NkFloat16Scalar_Type)
nk_f16_to_f32(&((NkFloat16ScalarObject *)other)->value, &temporary_f32), b_fui64.f = temporary_f32;
else if (PyFloat_Check(other)) b_fui64.f = PyFloat_AS_DOUBLE(other);
else if (PyLong_Check(other)) b_fui64.f = PyLong_AsDouble(other);
else Py_RETURN_NOTIMPLEMENTED;
return richcompare_from_int((a_fui64.f > b_fui64.f) - (a_fui64.f < b_fui64.f), op);
}
static PyObject *NkFloat16Scalar_add(PyObject *self, PyObject *other) {
nk_f32_t a, b, result;
if (Py_TYPE(self) == &NkFloat16Scalar_Type) nk_f16_to_f32(&((NkFloat16ScalarObject *)self)->value, &a);
else if (PyFloat_Check(self)) a = (nk_f32_t)PyFloat_AS_DOUBLE(self);
else if (PyLong_Check(self)) a = (nk_f32_t)PyLong_AsDouble(self);
else Py_RETURN_NOTIMPLEMENTED;
if (Py_TYPE(other) == &NkFloat16Scalar_Type) nk_f16_to_f32(&((NkFloat16ScalarObject *)other)->value, &b);
else if (PyFloat_Check(other)) b = (nk_f32_t)PyFloat_AS_DOUBLE(other);
else if (PyLong_Check(other)) b = (nk_f32_t)PyLong_AsDouble(other);
else Py_RETURN_NOTIMPLEMENTED;
result = a + b;
NkFloat16ScalarObject *res = PyObject_New(NkFloat16ScalarObject, &NkFloat16Scalar_Type);
if (res == NULL) return NULL;
nk_f32_to_f16(&result, &res->value);
return (PyObject *)res;
}
static PyObject *NkFloat16Scalar_sub(PyObject *self, PyObject *other) {
nk_f32_t a, b, result;
if (Py_TYPE(self) == &NkFloat16Scalar_Type) nk_f16_to_f32(&((NkFloat16ScalarObject *)self)->value, &a);
else if (PyFloat_Check(self)) a = (nk_f32_t)PyFloat_AS_DOUBLE(self);
else if (PyLong_Check(self)) a = (nk_f32_t)PyLong_AsDouble(self);
else Py_RETURN_NOTIMPLEMENTED;
if (Py_TYPE(other) == &NkFloat16Scalar_Type) nk_f16_to_f32(&((NkFloat16ScalarObject *)other)->value, &b);
else if (PyFloat_Check(other)) b = (nk_f32_t)PyFloat_AS_DOUBLE(other);
else if (PyLong_Check(other)) b = (nk_f32_t)PyLong_AsDouble(other);
else Py_RETURN_NOTIMPLEMENTED;
result = a - b;
NkFloat16ScalarObject *res = PyObject_New(NkFloat16ScalarObject, &NkFloat16Scalar_Type);
if (res == NULL) return NULL;
nk_f32_to_f16(&result, &res->value);
return (PyObject *)res;
}
static PyObject *NkFloat16Scalar_mul(PyObject *self, PyObject *other) {
nk_f32_t a, b, result;
if (Py_TYPE(self) == &NkFloat16Scalar_Type) nk_f16_to_f32(&((NkFloat16ScalarObject *)self)->value, &a);
else if (PyFloat_Check(self)) a = (nk_f32_t)PyFloat_AS_DOUBLE(self);
else if (PyLong_Check(self)) a = (nk_f32_t)PyLong_AsDouble(self);
else Py_RETURN_NOTIMPLEMENTED;
if (Py_TYPE(other) == &NkFloat16Scalar_Type) nk_f16_to_f32(&((NkFloat16ScalarObject *)other)->value, &b);
else if (PyFloat_Check(other)) b = (nk_f32_t)PyFloat_AS_DOUBLE(other);
else if (PyLong_Check(other)) b = (nk_f32_t)PyLong_AsDouble(other);
else Py_RETURN_NOTIMPLEMENTED;
result = a * b;
NkFloat16ScalarObject *res = PyObject_New(NkFloat16ScalarObject, &NkFloat16Scalar_Type);
if (res == NULL) return NULL;
nk_f32_to_f16(&result, &res->value);
return (PyObject *)res;
}
static PyObject *NkFloat16Scalar_div(PyObject *self, PyObject *other) {
nk_f32_t a, b, result;
if (Py_TYPE(self) == &NkFloat16Scalar_Type) nk_f16_to_f32(&((NkFloat16ScalarObject *)self)->value, &a);
else if (PyFloat_Check(self)) a = (nk_f32_t)PyFloat_AS_DOUBLE(self);
else if (PyLong_Check(self)) a = (nk_f32_t)PyLong_AsDouble(self);
else Py_RETURN_NOTIMPLEMENTED;
if (Py_TYPE(other) == &NkFloat16Scalar_Type) nk_f16_to_f32(&((NkFloat16ScalarObject *)other)->value, &b);
else if (PyFloat_Check(other)) b = (nk_f32_t)PyFloat_AS_DOUBLE(other);
else if (PyLong_Check(other)) b = (nk_f32_t)PyLong_AsDouble(other);
else Py_RETURN_NOTIMPLEMENTED;
if (b == 0.0f) {
PyErr_SetString(PyExc_ZeroDivisionError, "float16 division by zero");
return NULL;
}
result = a / b;
NkFloat16ScalarObject *res = PyObject_New(NkFloat16ScalarObject, &NkFloat16Scalar_Type);
if (res == NULL) return NULL;
nk_f32_to_f16(&result, &res->value);
return (PyObject *)res;
}
static PyObject *NkFloat16Scalar_neg(NkFloat16ScalarObject *self) {
nk_f32_t f32_val;
nk_f16_to_f32(&self->value, &f32_val);
f32_val = -f32_val;
NkFloat16ScalarObject *res = PyObject_New(NkFloat16ScalarObject, &NkFloat16Scalar_Type);
if (res == NULL) return NULL;
nk_f32_to_f16(&f32_val, &res->value);
return (PyObject *)res;
}
static PyObject *NkFloat16Scalar_pos(NkFloat16ScalarObject *self) {
Py_INCREF(self);
return (PyObject *)self;
}
static PyObject *NkFloat16Scalar_abs(NkFloat16ScalarObject *self) {
nk_f32_t f32_val;
nk_f16_to_f32(&self->value, &f32_val);
if (f32_val < 0) f32_val = -f32_val;
NkFloat16ScalarObject *res = PyObject_New(NkFloat16ScalarObject, &NkFloat16Scalar_Type);
if (res == NULL) return NULL;
nk_f32_to_f16(&f32_val, &res->value);
return (PyObject *)res;
}
static int NkFloat16Scalar_bool(NkFloat16ScalarObject *self) {
nk_f32_t f32_val;
nk_f16_to_f32(&self->value, &f32_val);
return f32_val != 0.0f;
}
static PyNumberMethods NkFloat16Scalar_as_number = {
.nb_add = NkFloat16Scalar_add,
.nb_subtract = NkFloat16Scalar_sub,
.nb_multiply = NkFloat16Scalar_mul,
.nb_true_divide = NkFloat16Scalar_div,
.nb_negative = (unaryfunc)NkFloat16Scalar_neg,
.nb_positive = (unaryfunc)NkFloat16Scalar_pos,
.nb_absolute = (unaryfunc)NkFloat16Scalar_abs,
.nb_bool = (inquiry)NkFloat16Scalar_bool,
.nb_float = (unaryfunc)NkFloat16Scalar_float,
.nb_int = (unaryfunc)NkFloat16Scalar_int,
};
static char const doc_float16[] = //
"IEEE 754 half-precision (16-bit) floating-point scalar.\n" //
"\n" //
"Layout: sign(1) + exponent(5) + mantissa(10), bias=15.\n" //
"Range: ±65,504, epsilon at 1.0: ~9.77e-4.\n" //
"30,722 of 63,488 finite values (48.4%%) fall in [-1, +1].\n" //
"All arithmetic via f32 upcast/downcast.";
PyTypeObject NkFloat16Scalar_Type = {
PyVarObject_HEAD_INIT(NULL, 0).tp_name = "numkong.float16",
.tp_basicsize = sizeof(NkFloat16ScalarObject),
.tp_flags = Py_TPFLAGS_DEFAULT,
.tp_new = NkFloat16Scalar_new,
.tp_repr = (reprfunc)NkFloat16Scalar_repr,
.tp_str = (reprfunc)NkFloat16Scalar_str,
.tp_hash = (hashfunc)NkFloat16Scalar_hash,
.tp_richcompare = NkFloat16Scalar_richcompare,
.tp_as_number = &NkFloat16Scalar_as_number,
.tp_doc = doc_float16,
};
static PyObject *NkFloat6E2M3Scalar_new(PyTypeObject *type, PyObject *args, PyObject *kwds) {
NkFloat6E2M3ScalarObject *self = (NkFloat6E2M3ScalarObject *)type->tp_alloc(type, 0);
if (self == NULL) return NULL;
double value = 0.0;
Py_ssize_t nargs = PyTuple_GET_SIZE(args);
if (nargs > 1) {
Py_DECREF(self);
PyErr_SetString(PyExc_TypeError, "float6_e2m3() takes at most 1 argument");
return NULL;
}
if (nargs == 1) {
value = PyFloat_AsDouble(PyTuple_GET_ITEM(args, 0));
if (value == -1.0 && PyErr_Occurred()) {
Py_DECREF(self);
return NULL;
}
}
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