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// -*-C++-*-
#ifndef FLOATPROPS_H
#define FLOATPROPS_H
#include "floattypes.h"
#include <cassert>
#include <cmath>
#include <cstring>
#include <limits>
namespace vecmathlib {
// A structure describing various properties of a floating point
// type. Most properties are already described in numeric_limits, so
// we inherit it.
template <typename real_t> struct floatprops {
// Some interesting properties are:
// min
// max
// digits
// epsilon
// min_exponent
// max_exponent
// infinity
// quiet_NaN
};
// Properties of fp8
template <> struct floatprops<fp8> {
typedef fp8 real_t;
typedef vml_std::int8_t int_t;
typedef vml_std::uint8_t uint_t;
static char const *name() { return "fp8"; }
// Definitions that might come from numeric_limits<> instead:
static real_t min() { __builtin_unreachable(); }
static real_t max() { __builtin_unreachable(); }
static int const digits = 4;
static real_t epsilon() { __builtin_unreachable(); }
static int const min_exponent = -6;
static int const max_exponent = 7;
static real_t infinity() { __builtin_unreachable(); }
static real_t quiet_NaN() { __builtin_unreachable(); }
// Ensure the sizes match
static_assert(sizeof(real_t) == sizeof(int_t), "int_t has wrong size");
static_assert(sizeof(real_t) == sizeof(uint_t), "uint_t has wrong size");
// Number of bits in internal representation
static int const bits = 8 * sizeof(real_t);
static int const mantissa_bits = digits - 1;
static int const signbit_bits = 1;
static int const exponent_bits = bits - mantissa_bits - signbit_bits;
static int const exponent_offset = 2 - min_exponent;
static_assert(mantissa_bits + exponent_bits + signbit_bits == bits,
"error in bit counts");
static uint_t const mantissa_mask = (uint_t(1) << mantissa_bits) - 1;
static uint_t const exponent_mask = ((uint_t(1) << exponent_bits) - 1)
<< mantissa_bits;
static uint_t const signbit_mask = uint_t(1) << (bits - 1);
static_assert((mantissa_mask & exponent_mask & signbit_mask) == uint_t(0),
"error in masks");
static_assert((mantissa_mask | exponent_mask | signbit_mask) ==
uint_t(~uint_t(0)),
"error in masks");
// Re-interpret bit patterns
static real_t as_float(int_t x) {
real_t res;
std::memcpy(&res, &x, sizeof res);
return res;
}
static int_t as_int(real_t x) {
int_t res;
std::memcpy(&res, &x, sizeof res);
return res;
}
static int_t replicate_byte(unsigned char byte) {
int_t res;
std::memset(&res, byte, sizeof res);
return res;
}
// Convert values (truncate)
static real_t convert_float(int_t x) { __builtin_unreachable(); }
static int_t convert_int(real_t x) { __builtin_unreachable(); }
};
// Properties of fp16
template <> struct floatprops<fp16> {
typedef fp16 real_t;
typedef vml_std::int16_t int_t;
typedef vml_std::uint16_t uint_t;
static char const *name() { return "fp16"; }
// Definitions that might come from numeric_limits<> instead:
static real_t min() { __builtin_unreachable(); }
static real_t max() { __builtin_unreachable(); }
static int const digits = 11;
static real_t epsilon() { __builtin_unreachable(); }
static int const min_exponent = -14;
static int const max_exponent = 15;
static real_t infinity() { __builtin_unreachable(); }
static real_t quiet_NaN() { __builtin_unreachable(); }
// Ensure the sizes match
static_assert(sizeof(real_t) == sizeof(int_t), "int_t has wrong size");
static_assert(sizeof(real_t) == sizeof(uint_t), "uint_t has wrong size");
// Number of bits in internal representation
static int const bits = 8 * sizeof(real_t);
static int const mantissa_bits = digits - 1;
static int const signbit_bits = 1;
static int const exponent_bits = bits - mantissa_bits - signbit_bits;
static int const exponent_offset = 2 - min_exponent;
static_assert(mantissa_bits + exponent_bits + signbit_bits == bits,
"error in bit counts");
static uint_t const mantissa_mask = (uint_t(1) << mantissa_bits) - 1;
static uint_t const exponent_mask = ((uint_t(1) << exponent_bits) - 1)
<< mantissa_bits;
static uint_t const signbit_mask = uint_t(1) << (bits - 1);
static_assert((mantissa_mask & exponent_mask & signbit_mask) == uint_t(0),
"error in masks");
static_assert((mantissa_mask | exponent_mask | signbit_mask) ==
uint_t(~uint_t(0)),
"error in masks");
// Re-interpret bit patterns
static real_t as_float(int_t x) {
real_t res;
std::memcpy(&res, &x, sizeof res);
return res;
}
static int_t as_int(real_t x) {
int_t res;
std::memcpy(&res, &x, sizeof res);
return res;
}
static int_t replicate_byte(unsigned char byte) {
int_t res;
std::memset(&res, byte, sizeof res);
return res;
}
// Convert values (truncate)
static real_t convert_float(int_t x) { __builtin_unreachable(); }
static int_t convert_int(real_t x) { __builtin_unreachable(); }
};
// Properties of float
template <> struct floatprops<float> : std::numeric_limits<float> {
typedef float real_t;
typedef vml_std::int32_t int_t;
typedef vml_std::uint32_t uint_t;
static char const *name() { return "float"; }
// Ensure the internal representation is what we expect
static_assert(is_signed, "real_t is not signed");
static_assert(radix == 2, "real_t is not binary");
// Ensure the sizes match
static_assert(sizeof(real_t) == sizeof(int_t), "int_t has wrong size");
static_assert(sizeof(real_t) == sizeof(uint_t), "uint_t has wrong size");
// Number of bits in internal representation
static int const bits = 8 * sizeof(real_t);
static int const mantissa_bits = digits - 1;
static int const signbit_bits = 1;
static int const exponent_bits = bits - mantissa_bits - signbit_bits;
static int const exponent_offset = 2 - min_exponent;
static_assert(mantissa_bits + exponent_bits + signbit_bits == bits,
"error in bit counts");
static uint_t const mantissa_mask = (uint_t(1) << mantissa_bits) - 1;
static uint_t const exponent_mask = ((uint_t(1) << exponent_bits) - 1)
<< mantissa_bits;
static uint_t const signbit_mask = uint_t(1) << (bits - 1);
static_assert((mantissa_mask & exponent_mask & signbit_mask) == uint_t(0),
"error in masks");
static_assert((mantissa_mask | exponent_mask | signbit_mask) ==
uint_t(~uint_t(0)),
"error in masks");
// Re-interpret bit patterns
static real_t as_float(int_t x) {
real_t res;
std::memcpy(&res, &x, sizeof res);
return res;
}
static int_t as_int(real_t x) {
int_t res;
std::memcpy(&res, &x, sizeof res);
return res;
}
static int_t replicate_byte(unsigned char byte) {
int_t res;
std::memset(&res, byte, sizeof res);
return res;
}
// Convert values (truncate)
static real_t convert_float(int_t x) { return real_t(x); }
static int_t convert_int(real_t x) { return int_t(x); }
};
// Properties of double
template <> struct floatprops<double> : std::numeric_limits<double> {
typedef double real_t;
typedef vml_std::int64_t int_t;
typedef vml_std::uint64_t uint_t;
static char const *name() { return "double"; }
// Ensure the internal representation is what we expect
static_assert(is_signed, "real_t is not signed");
static_assert(radix == 2, "real_t is not binary");
// Ensure the sizes match
static_assert(sizeof(real_t) == sizeof(int_t), "int_t has wrong size");
static_assert(sizeof(real_t) == sizeof(uint_t), "uint_t has wrong size");
// Number of bits in internal representation
static int const bits = 8 * sizeof(real_t);
static int const mantissa_bits = digits - 1;
static int const signbit_bits = 1;
static int const exponent_bits = bits - mantissa_bits - signbit_bits;
static int const exponent_offset = 2 - min_exponent;
static_assert(mantissa_bits + exponent_bits + signbit_bits == bits,
"error in bit counts");
static uint_t const mantissa_mask = (uint_t(1) << mantissa_bits) - 1;
static uint_t const exponent_mask = ((uint_t(1) << exponent_bits) - 1)
<< mantissa_bits;
static uint_t const signbit_mask = uint_t(1) << (bits - 1);
static_assert((mantissa_mask & exponent_mask & signbit_mask) == uint_t(0),
"error in masks");
static_assert((mantissa_mask | exponent_mask | signbit_mask) ==
uint_t(~uint_t(0)),
"error in masks");
// Re-interpret bit patterns
static real_t as_float(int_t x) {
real_t res;
std::memcpy(&res, &x, sizeof res);
return res;
}
static int_t as_int(real_t x) {
int_t res;
std::memcpy(&res, &x, sizeof res);
return res;
}
static int_t replicate_byte(unsigned char byte) {
int_t res;
std::memset(&res, byte, sizeof res);
return res;
}
// Convert values (truncate)
static real_t convert_float(int_t x) { return real_t(x); }
static int_t convert_int(real_t x) { return int_t(x); }
};
// We are adding the (unused) type RV here to avoid name mangling
// problems. On some systems, the vector size does not enter into
// the mangled name (!), leading to duplicate function definitions.
template <typename RV, typename V, typename E>
E get_elt(const V &v, const int n) {
const size_t s = sizeof(E);
E e;
// assert(n>=0 and s*n<sizeof(V));
std::memcpy(&e, &((const char *)&v)[s * n], s);
return e;
}
template <typename RV, typename V, typename E>
V &set_elt(V &v, const int n, const E e) {
const size_t s = sizeof(E);
// assert(n>=0 and s*n<sizeof(V));
std::memcpy(&((char *)&v)[s * n], &e, s);
return v;
}
} // namespace vecmathlib
#endif // #ifndef FLOATPROPS_H
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