mirror of https://github.com/flysand7/ciabatta.git
Steal some math funcs
This commit is contained in:
parent
6f57efcaa9
commit
2320a22706
3
bake.cmd
3
bake.cmd
|
@ -51,4 +51,5 @@ del build\*.obj
|
|||
|
||||
:skip_crt_compilation
|
||||
echo Compiling test..
|
||||
clang test\test6.c ciabatta.lib -std=c11 -lkernel32 -luser32 -lshell32 -nostdlib %CIABATTA_OPTIONS%
|
||||
clang -fno-builtin test\test_math.c ciabatta.lib -std=c11 -lkernel32 -luser32 -lshell32 -nostdlib %CIABATTA_OPTIONS%
|
||||
::cl test\test_math.c /Iinc -D_CRT_SECURE_NO_WARNINGS /Z7 /link ciabatta.lib kernel32.lib user32.lib shell32.lib -nostdlib -nodefaultlibs
|
||||
|
|
|
@ -0,0 +1,264 @@
|
|||
|
||||
#include <math.h>
|
||||
#include <fenv.h>
|
||||
#include <stdint.h>
|
||||
#include <float.h>
|
||||
|
||||
#include <_compiler.h>
|
||||
#if defined(_compiler_clang) || defined(_compiler_gnu)
|
||||
#define just_do_it(t) __attribute__((unused)) volatile t
|
||||
#endif
|
||||
|
||||
|
||||
int _fpclassify(double x) {
|
||||
union {double f; uint64_t i;} u = {x};
|
||||
int e = u.i>>52 & 0x7ff;
|
||||
if (!e) return u.i<<1 ? FP_SUBNORMAL : FP_ZERO;
|
||||
if (e==0x7ff) return u.i<<12 ? FP_NAN : FP_INFINITE;
|
||||
return FP_NORMAL;
|
||||
}
|
||||
|
||||
int _fpclassifyf(float x) {
|
||||
union {float f; uint32_t i;} u = {x};
|
||||
int e = u.i>>23 & 0xff;
|
||||
if (!e) return u.i<<1 ? FP_SUBNORMAL : FP_ZERO;
|
||||
if (e==0xff) return u.i<<9 ? FP_NAN : FP_INFINITE;
|
||||
return FP_NORMAL;
|
||||
}
|
||||
|
||||
int _fpclassifyl(long double x) {
|
||||
return _fpclassify(x);
|
||||
}
|
||||
|
||||
|
||||
int _signbit(double x) {
|
||||
union {
|
||||
double d;
|
||||
uint64_t i;
|
||||
} y = { x };
|
||||
return y.i>>63;
|
||||
}
|
||||
|
||||
int _signbitf(float x) {
|
||||
union {
|
||||
float f;
|
||||
uint32_t i;
|
||||
} y = { x };
|
||||
return y.i>>31;
|
||||
}
|
||||
|
||||
int _signbitl(long double x) {
|
||||
return _signbit(x);
|
||||
}
|
||||
|
||||
double copysign(double x, double y) {
|
||||
union {double f; uint64_t i;} ux={x}, uy={y};
|
||||
ux.i &= ~(1ULL<<63);
|
||||
ux.i |= uy.i & (1ULL<<63);
|
||||
return ux.f;
|
||||
}
|
||||
|
||||
float copysignf(float x, float y) {
|
||||
union {float f; uint32_t i;} ux={x}, uy={y};
|
||||
ux.i &= 0x7fffffff;
|
||||
ux.i |= uy.i & 0x80000000;
|
||||
return ux.f;
|
||||
}
|
||||
|
||||
long double copysignl(long double x, long double y) {
|
||||
return copysign(x, y);
|
||||
}
|
||||
|
||||
double nan(const char *s) {
|
||||
return NAN;
|
||||
}
|
||||
|
||||
float nanf(const char *s) {
|
||||
return NAN;
|
||||
}
|
||||
|
||||
long double nanl(const char *s) {
|
||||
return NAN;
|
||||
}
|
||||
|
||||
|
||||
double rint(double x) {
|
||||
static const double_t toint = 1/DBL_EPSILON;
|
||||
union {double f; uint64_t i;} u = {x};
|
||||
int e = u.i>>52 & 0x7ff;
|
||||
int s = u.i>>63;
|
||||
double y;
|
||||
if (e >= 0x3ff+52) return x;
|
||||
if (s) y = x - toint + toint;
|
||||
else y = x + toint - toint;
|
||||
if (y == 0) return s ? -0.0 : +0.0;
|
||||
return y;
|
||||
}
|
||||
|
||||
float rintf(float x) {
|
||||
static const float toint = 1/FLT_EPSILON;
|
||||
union {float f; uint32_t i;} u = {x};
|
||||
int e = u.i>>23 & 0xff;
|
||||
int s = u.i>>31;
|
||||
float y;
|
||||
if (e >= 0x7f+23) return x;
|
||||
if (s) y = x - toint + toint;
|
||||
else y = x + toint - toint;
|
||||
if (y == 0) return s ? -0.0f : 0.0f;
|
||||
return y;
|
||||
}
|
||||
|
||||
long double rintl(long double x) {
|
||||
return rint(x);
|
||||
}
|
||||
|
||||
|
||||
double nearbyint(double x) {
|
||||
#pragma STDC FENV_ACCESS ON
|
||||
int e = fetestexcept(FE_INEXACT);
|
||||
x = rint(x);
|
||||
if (!e) feclearexcept(FE_INEXACT);
|
||||
return x;
|
||||
}
|
||||
|
||||
float nearbyintf(float x) {
|
||||
#pragma STDC FENV_ACCESS ON
|
||||
int e = fetestexcept(FE_INEXACT);
|
||||
x = rintf(x);
|
||||
if (!e) feclearexcept(FE_INEXACT);
|
||||
return x;
|
||||
}
|
||||
|
||||
long double nearbyintl(long double x) {
|
||||
return nearbyint(x);
|
||||
}
|
||||
|
||||
|
||||
double nextafter(double x, double y) {
|
||||
union {double f; uint64_t i;} ux={x}, uy={y};
|
||||
uint64_t ax, ay;
|
||||
int e;
|
||||
if (isnan(x) || isnan(y)) return x + y;
|
||||
if (ux.i == uy.i) return y;
|
||||
ax = ux.i & -1ULL/2;
|
||||
ay = uy.i & -1ULL/2;
|
||||
if (ax == 0) {
|
||||
if (ay == 0) return y;
|
||||
ux.i = (uy.i & 1ULL<<63) | 1;
|
||||
} else if (ax > ay || ((ux.i ^ uy.i) & 1ULL<<63)) {
|
||||
ux.i--;
|
||||
}
|
||||
else {
|
||||
ux.i++;
|
||||
}
|
||||
e = ux.i >> 52 & 0x7ff;
|
||||
/* raise overflow if ux.f is infinite and x is finite */
|
||||
if (e == 0x7ff) just_do_it(float) _x = x+x;
|
||||
/* raise underflow if ux.f is subnormal or zero */
|
||||
if (e == 0) just_do_it(float) _x = x*x + ux.f*ux.f;
|
||||
return ux.f;
|
||||
}
|
||||
|
||||
float nextafterf(float x, float y) {
|
||||
union {float f; uint32_t i;} ux={x}, uy={y};
|
||||
uint32_t ax, ay, e;
|
||||
|
||||
if (isnan(x) || isnan(y)) return x + y;
|
||||
if (ux.i == uy.i) return y;
|
||||
ax = ux.i & 0x7fffffff;
|
||||
ay = uy.i & 0x7fffffff;
|
||||
if (ax == 0) {
|
||||
if (ay == 0) return y;
|
||||
ux.i = (uy.i & 0x80000000) | 1;
|
||||
} else if (ax > ay || ((ux.i ^ uy.i) & 0x80000000)) {
|
||||
ux.i--;
|
||||
}
|
||||
else {
|
||||
ux.i++;
|
||||
}
|
||||
e = ux.i & 0x7f800000;
|
||||
/* raise overflow if ux.f is infinite and x is finite */
|
||||
if (e == 0x7f800000) just_do_it(float) _x = x+x;
|
||||
/* raise underflow if ux.f is subnormal or zero */
|
||||
if (e == 0) just_do_it(float) _x = x*x + ux.f*ux.f;
|
||||
return ux.f;
|
||||
}
|
||||
|
||||
long double nextafterl(long double x, long double y) {
|
||||
return nextafter(x, y);
|
||||
}
|
||||
|
||||
double nexttoward(double x, long double y) {
|
||||
return nextafter(x, y);
|
||||
}
|
||||
|
||||
float nexttowardf(float x, long double y) {
|
||||
union {float f; uint32_t i;} ux = {x};
|
||||
uint32_t e;
|
||||
if (isnan(x) || isnan(y)) return x + y;
|
||||
if (x == y) return y;
|
||||
if (x == 0) {
|
||||
ux.i = 1;
|
||||
if (signbit(y)) ux.i |= 0x80000000;
|
||||
} else if (x < y) {
|
||||
if (signbit(x)) ux.i--;
|
||||
else ux.i++;
|
||||
} else {
|
||||
if (signbit(x)) ux.i++;
|
||||
else ux.i--;
|
||||
}
|
||||
e = ux.i & 0x7f800000;
|
||||
/* raise overflow if ux.f is infinite and x is finite */
|
||||
if (e == 0x7f800000) just_do_it(float) _x = x+x;
|
||||
/* raise underflow if ux.f is subnormal or zero */
|
||||
if (e == 0) just_do_it(float) _x = x*x + ux.f*ux.f;
|
||||
return ux.f;
|
||||
}
|
||||
|
||||
long double nexttowardl(long double x, long double y) {
|
||||
return nextafterl(x, y);
|
||||
}
|
||||
|
||||
|
||||
double round(double x) {
|
||||
static const double_t toint = 1/DBL_EPSILON;
|
||||
union {double f; uint64_t i;} u = {x};
|
||||
int e = u.i >> 52 & 0x7ff;
|
||||
double_t y;
|
||||
if (e >= 0x3ff+52) return x;
|
||||
if (u.i >> 63) x = -x;
|
||||
if (e < 0x3ff-1) {
|
||||
/* raise inexact if x!=0 */
|
||||
just_do_it(float) _x = x + toint;
|
||||
return 0*u.f;
|
||||
}
|
||||
y = x + toint - toint - x;
|
||||
if (y > 0.5) y = y + x - 1;
|
||||
else if (y <= -0.5) y = y + x + 1;
|
||||
else y = y + x;
|
||||
if (u.i >> 63) y = -y;
|
||||
return y;
|
||||
}
|
||||
|
||||
float roundf(float x) {
|
||||
static const double_t toint = 1/FLT_EPSILON;
|
||||
union {float f; uint32_t i;} u = {x};
|
||||
int e = u.i >> 23 & 0xff;
|
||||
float_t y;
|
||||
if (e >= 0x7f+23) return x;
|
||||
if (u.i >> 31) x = -x;
|
||||
if (e < 0x7f-1) {
|
||||
just_do_it(float) _x = x + toint;
|
||||
return 0*u.f;
|
||||
}
|
||||
y = x + toint - toint - x;
|
||||
if (y > 0.5f) y = y + x - 1;
|
||||
else if (y <= -0.5f) y = y + x + 1;
|
||||
else y = y + x;
|
||||
if (u.i >> 31) y = -y;
|
||||
return y;
|
||||
}
|
||||
|
||||
long double roundl(long double x) {
|
||||
return round(x);
|
||||
}
|
|
@ -1,139 +0,0 @@
|
|||
|
||||
// Instantiates 'template' macros for floating-point values
|
||||
// When including expecting the following parameters to be defined:
|
||||
// ftype: Floating-point type to consider
|
||||
// itype: Signed integer type corresponding to ftype's bitwidth
|
||||
// f_ebits: Number of bits in the exponent
|
||||
// f_mbits: Number of bits in the mantissa
|
||||
// suffix(name): appends corresponding suffix to the given name,
|
||||
// e.g. f for floats
|
||||
|
||||
#define f_nbits (1+f_ebits+f_mbits)
|
||||
#define f_emax ((1ULL << (f_ebits-1)) - 1)
|
||||
#define f_emin (1 - f_emax)
|
||||
#define f_ebias f_emax
|
||||
|
||||
// Extracting fields from the float
|
||||
#define f_eoffs (f_mbits)
|
||||
#define f_soffs (f_mbits+f_ebits)
|
||||
#define f_emask ((1ULL << f_ebits) - 1)
|
||||
#define f_mmask ((1ULL << f_mbits) - 1)
|
||||
#define f_smask 1ULL
|
||||
#define f_eval(b) (((b) >> f_eoffs) & f_emask)
|
||||
#define f_sval(b) (((b) >> f_soffs) & f_smask)
|
||||
#define f_mval(b) (((b) >> 0) & f_mmask)
|
||||
#define f_abs(b) ((b) & ~(f_smask << f_soffs))
|
||||
#define f_exp(b) (f_eval(b) - f_ebias)
|
||||
|
||||
#define f_qexp(b) (f_eval(b) - f_ebias - f_mbits)
|
||||
#define f_qman(b) (((b) & f_mmask) | (f_mmask+1))
|
||||
|
||||
#define b_cons(s,e,m) (((itype)s << f_soffs) | ((itype)e << f_eoffs) | (itype)(m))
|
||||
|
||||
// Converting float to integer bits
|
||||
static inline itype suffix(f_bits)(ftype f) {
|
||||
union _u {
|
||||
ftype f;
|
||||
itype b;
|
||||
} u;
|
||||
u.f = f;
|
||||
return u.b;
|
||||
}
|
||||
|
||||
static inline ftype suffix(f_frombits)(itype b) {
|
||||
union _u {
|
||||
ftype f;
|
||||
itype b;
|
||||
} u;
|
||||
u.b = b;
|
||||
return u.f;
|
||||
}
|
||||
|
||||
// Floating-point classification
|
||||
int suffix(_fpclassify)(ftype f) {
|
||||
itype bits = suffix(f_bits)(f);
|
||||
itype exp = f_eval(bits);
|
||||
itype man = f_mval(bits);
|
||||
if(exp == f_emask) {
|
||||
if(man == 0) return FP_INFINITE;
|
||||
else return FP_NAN;
|
||||
}
|
||||
else if(exp == 0) {
|
||||
if(man == 0) return FP_ZERO;
|
||||
else return FP_SUBNORMAL;
|
||||
}
|
||||
else return FP_NORMAL;
|
||||
}
|
||||
|
||||
int suffix(_signbit)(ftype f) {
|
||||
itype bits = suffix(f_bits)(f);
|
||||
itype sign = f_sval(bits);
|
||||
return sign;
|
||||
}
|
||||
|
||||
ftype suffix(copysign)(ftype x, ftype y) {
|
||||
itype xbits = suffix(f_bits)(x);
|
||||
itype ybits = suffix(f_bits)(y);
|
||||
itype exp = f_eval(xbits);
|
||||
itype man = f_mval(xbits);
|
||||
itype sgn = f_sval(ybits);
|
||||
itype rbits = b_cons(sgn, exp, man);
|
||||
return suffix(f_frombits)(rbits);
|
||||
}
|
||||
|
||||
// Floating-point non-signaling comparison
|
||||
|
||||
static Ordering suffix(_ordering)(ftype x, ftype y) {
|
||||
itype xclass = suffix(_fpclassify)(x);
|
||||
itype yclass = suffix(_fpclassify)(y);
|
||||
if(xclass == FP_NAN || yclass == FP_NAN) {
|
||||
return UN;
|
||||
}
|
||||
itype xbits = suffix(f_bits)(x);
|
||||
itype ybits = suffix(f_bits)(y);
|
||||
itype xsgn = f_sval(xbits);
|
||||
itype ysgn = f_sval(ybits);
|
||||
itype xabs = f_abs(xbits);
|
||||
itype yabs = f_abs(ybits);
|
||||
if(xsgn == ysgn) {
|
||||
if(xabs > yabs) return GR;
|
||||
if(xabs < yabs) return LS;
|
||||
return EQ;
|
||||
}
|
||||
else {
|
||||
if(xabs == 0 && yabs == 0) return EQ;
|
||||
if(xsgn) return LS;
|
||||
if(ysgn) return GR;
|
||||
}
|
||||
return UN; // I may be stupid
|
||||
}
|
||||
|
||||
int suffix(_isgrt)(ftype x, ftype y) {
|
||||
int ord = suffix(_ordering)(x, y);
|
||||
return ord == GR;
|
||||
}
|
||||
|
||||
int suffix(_isgeq)(ftype x, ftype y) {
|
||||
int ord = suffix(_ordering)(x, y);
|
||||
return ord == GR || ord == EQ;
|
||||
}
|
||||
|
||||
int suffix(_isles)(ftype x, ftype y) {
|
||||
int ord = suffix(_ordering)(x, y);
|
||||
return ord == LS;
|
||||
}
|
||||
|
||||
int suffix(_isleq)(ftype x, ftype y) {
|
||||
int ord = suffix(_ordering)(x, y);
|
||||
return ord == LS || ord == EQ;
|
||||
}
|
||||
|
||||
int suffix(_isleg)(ftype x, ftype y) {
|
||||
int ord = suffix(_ordering)(x, y);
|
||||
return ord == LS || ord == GR;
|
||||
}
|
||||
|
||||
int suffix(_isuno)(ftype x, ftype y) {
|
||||
int ord = suffix(_ordering)(x, y);
|
||||
return ord == UN;
|
||||
}
|
|
@ -1,53 +0,0 @@
|
|||
|
||||
#include <math.h>
|
||||
#include <stdint.h>
|
||||
|
||||
// Used for float comparisons in ieee754.h
|
||||
enum Ordering {
|
||||
LS,
|
||||
EQ,
|
||||
GR,
|
||||
UN,
|
||||
} typedef Ordering;
|
||||
|
||||
#define ftype float
|
||||
#define itype int32_t
|
||||
#define f_ebits 8
|
||||
#define f_mbits 23
|
||||
#define suffix(n) n ## f
|
||||
#include "ieee754.h"
|
||||
#include "pow.h"
|
||||
#undef suffix
|
||||
#undef f_mbits
|
||||
#undef f_ebits
|
||||
#undef itype
|
||||
#undef ftype
|
||||
|
||||
#define ftype double
|
||||
#define itype int64_t
|
||||
#define f_ebits 11
|
||||
#define f_mbits 52
|
||||
#define suffix(n) n
|
||||
#include "ieee754.h"
|
||||
#include "pow.h"
|
||||
#undef suffix
|
||||
#undef f_mbits
|
||||
#undef f_ebits
|
||||
#undef itype
|
||||
#undef ftype
|
||||
|
||||
_Static_assert(sizeof(long double) == sizeof(double),
|
||||
"Are these 'long doubles' in the same room with us right now?");
|
||||
|
||||
#define ftype long double
|
||||
#define itype int64_t
|
||||
#define f_ebits 11
|
||||
#define f_mbits 52
|
||||
#define suffix(n) n ## l
|
||||
#include "ieee754.h"
|
||||
#include "pow.h"
|
||||
#undef suffix
|
||||
#undef f_mbits
|
||||
#undef f_ebits
|
||||
#undef itype
|
||||
#undef ftype
|
103
code/math/pow.h
103
code/math/pow.h
|
@ -1,103 +0,0 @@
|
|||
|
||||
#include <errno.h>
|
||||
|
||||
#if !defined(_isqrt_defined)
|
||||
#define _isqrt_defined
|
||||
static uint64_t _isqrt(uint64_t num, uint64_t *remp) {
|
||||
// To find a square root of a number
|
||||
// We get rid of zero
|
||||
if(num == 0) {
|
||||
*remp = 0;
|
||||
return 0;
|
||||
}
|
||||
// Then, starting from the bottom, split num into 2-digit pairs
|
||||
// and find the top-most non-zero pair
|
||||
uint64_t i = 0;
|
||||
while(i != (sizeof(uint64_t)*8) && (num >> i) != 0) {
|
||||
i += 2;
|
||||
}
|
||||
// Then we start taking guesses such that at each step
|
||||
// sqrt^2 <= number made of consequent pairs of exausted integers
|
||||
uint64_t sqrt = 0;
|
||||
uint64_t rem = 0;
|
||||
// Repeat until remainder is equal to zero:
|
||||
do {
|
||||
i -= 2;
|
||||
// Bring the next two digits of the number to our remainder
|
||||
rem = (rem << 2) | ((num >> i) & 0x3);
|
||||
// Find d such that d(2sqrt+d) <= rem
|
||||
// Since d could be either 0 or 1 we simply check 1, otherwise its 0
|
||||
uint64_t d = 1;
|
||||
uint64_t t = ((sqrt<<2)|1);
|
||||
if(t <= rem) {
|
||||
rem -= t;
|
||||
}
|
||||
else {
|
||||
d = 0;
|
||||
}
|
||||
// Append the digit to sqrt from the right
|
||||
sqrt = (sqrt<<1)|d;
|
||||
} while(i != 0);
|
||||
|
||||
*remp = rem;
|
||||
return sqrt;
|
||||
}
|
||||
#endif
|
||||
|
||||
// For all it's worth this shit is simply equivalent to
|
||||
// _isqrt((uint64)x)
|
||||
// I hate porgaming.
|
||||
ftype suffix(sqrt)(ftype x) {
|
||||
if(x < 0) {
|
||||
#if math_errhandling & MATH_ERRNO
|
||||
errno = EDOM;
|
||||
#endif
|
||||
return NAN;
|
||||
}
|
||||
if(x == 0 || isinf(x)) {
|
||||
return x;
|
||||
}
|
||||
if(isnan(x)) {
|
||||
return NAN;
|
||||
}
|
||||
itype bits = suffix(f_bits)(x);
|
||||
itype exp = f_qexp(bits);
|
||||
itype man = f_qman(bits);
|
||||
// Get lots of precision by shifting man right by max bits
|
||||
// and subtracting this from the exponent
|
||||
itype bit = 0; // highest set-bit of man
|
||||
while((man >> (bit+1)) != 0) ++bit;
|
||||
itype prec_shift_n = f_nbits - bit - 3;
|
||||
man <<= prec_shift_n;
|
||||
exp -= prec_shift_n;
|
||||
// Now do the sqrt of 2^exp * man
|
||||
// If exp is odd then 2^{2k+1}*sqrt(man) = 2^{2k}*sqrt{2*man}
|
||||
if((2 + (exp % 2)) % 2 != 0) {
|
||||
man <<= 1;
|
||||
}
|
||||
// Take exp sqrt
|
||||
exp >>= 1;
|
||||
// Take sqrt of mantissa
|
||||
uint64_t rem;
|
||||
man = (itype)_isqrt(man, &rem);
|
||||
// Now sqrt(x) = 2^exp * man
|
||||
// we need to normalize this shit
|
||||
bit = 0; // highest set-bit of man
|
||||
while((man >> (bit+1)) != 0) ++bit;
|
||||
exp += bit;
|
||||
man <<= f_nbits-bit;
|
||||
exp += f_ebias;
|
||||
man >>= f_nbits-f_mbits;
|
||||
man &= f_mmask;
|
||||
// Cons it back
|
||||
bits = b_cons(0, exp, man);
|
||||
return suffix(f_frombits)(bits);
|
||||
}
|
||||
|
||||
ftype suffix(hypot)(ftype x, ftype y)
|
||||
{
|
||||
if(isinf(x) || isinf(y)) {
|
||||
return INFINITY;
|
||||
}
|
||||
return suffix(sqrt)(x*x + y*y);
|
||||
}
|
|
@ -1,4 +1,6 @@
|
|||
|
||||
#include <math.h>
|
||||
|
||||
//TODO: verify printf("%d", 0). From the code it looked like it would print
|
||||
// an empty string.
|
||||
|
||||
|
@ -101,6 +103,11 @@ inline static int FMT_FUNC_NAME (void *ctx, OutputFunc out, const FMT_CHAR_TYPE
|
|||
case 'L': {
|
||||
double d = va_arg(args, double);
|
||||
|
||||
if(signbit(d)) { // TODO: negative zero
|
||||
out(ctx, 1, "-");
|
||||
d = -d;
|
||||
}
|
||||
|
||||
if(isinf(d)) {
|
||||
out(ctx, sizeof"inf"-1, "inf");
|
||||
break;
|
||||
|
@ -110,11 +117,6 @@ inline static int FMT_FUNC_NAME (void *ctx, OutputFunc out, const FMT_CHAR_TYPE
|
|||
break;
|
||||
}
|
||||
|
||||
if(d < 0) { // TODO: negative zero
|
||||
out(ctx, 1, "-");
|
||||
d = -d;
|
||||
}
|
||||
|
||||
uint64_t w = (uint64_t)d;
|
||||
d -= w;
|
||||
FMT_CHAR_TYPE buffer[20];
|
||||
|
|
338
inc/math.h
338
inc/math.h
|
@ -14,8 +14,8 @@ typedef double double_t;
|
|||
|
||||
#define NAN (-(float)(INFINITY * 0.0F))
|
||||
|
||||
// FP_ILOGB0
|
||||
// FP_ILOGBNAN
|
||||
#define FP_ILOGBNAN (-1-0x7fffffff)
|
||||
#define FP_ILOGB0 FP_ILOGBNAN
|
||||
|
||||
#define MATH_ERRNO 1
|
||||
#define MATH_ERREXCEPT 2
|
||||
|
@ -28,193 +28,275 @@ typedef double double_t;
|
|||
#define FP_NORMAL 2
|
||||
#define FP_SUBNORMAL 3
|
||||
#define FP_ZERO 4
|
||||
int _fpclassify(double f);
|
||||
int _fpclassifyf(float f);
|
||||
#define fpclassify(x) (sizeof(x)==4?_fpclassifyf(x):_fpclassify(x))
|
||||
int _fpclassify(double);
|
||||
int _fpclassifyf(float);
|
||||
int _fpclassifyl(long double);
|
||||
#define fpclassify(x) (sizeof(x)==4?_fpclassifyf(x)\
|
||||
:sizeof(x)==8?_fpclassify(x) \
|
||||
: _fpclassifyl(x))
|
||||
#define isfinite(x) (fpclassify(x) != FP_INFINITE && fpclassify(x) != FP_NAN)
|
||||
#define isinf(x) (fpclassify(x) == FP_INFINITE)
|
||||
#define isnan(x) (fpclassify(x) == FP_NAN)
|
||||
#define isnormal(x) (fpclassify(x) == FP_NORMAL)
|
||||
|
||||
// Sign bit shit
|
||||
int _signbit(double f);
|
||||
int _signbitf(float f);
|
||||
#define signbit(x) (sizeof(x)==4?_signbitf(x):signbit(x))
|
||||
float copysignf(float x, float y);
|
||||
// signbit shit
|
||||
int _signbit(double);
|
||||
int _signbitf(float);
|
||||
int _signbitl(long double);
|
||||
#define signbit(x) (sizeof(x) == sizeof(float) ? _signbitf(x) \
|
||||
:sizeof(x) == sizeof(double) ? _signbit(x) \
|
||||
: _signbitl(x))
|
||||
|
||||
// Ordering
|
||||
#define isgreater(x) (sizeof(x)==4?_isgrtf(x):_isgrt(x))
|
||||
#define isgreaterequal(x) (sizeof(x)==4?_isgeqf(x):_isgeq(x))
|
||||
#define isless(x) (sizeof(x)==4?_islesf(x):_isles(x))
|
||||
#define islessequal(x) (sizeof(x)==4?_isleqf(x):_isleq(x))
|
||||
#define islessgreater(x) (sizeof(x)==4?_islegf(x):_isleg(x))
|
||||
#define isunordered(x) (sizeof(x)==4?_isunof(x):_isuno(x))
|
||||
#define isunordered(x,y) (isnan((x)) ? ((void)(y),1) : isnan((y)))
|
||||
#define isgreater(x,y) (!isunordered(x,y) && ((x) > (y)))
|
||||
#define isgreaterequal(x,y) (!isunordered(x,y) && ((x) >= (y)))
|
||||
#define isless(x,y) (!isunordered(x,y) && ((x) < (y)))
|
||||
#define islessequal(x,y) (!isunordered(x,y) && ((x) <= (y)))
|
||||
#define islessgreater(x,y) (!isunordered(x,y) && ((x) != (y)))
|
||||
|
||||
double acos(double x);
|
||||
float acosf(float x);
|
||||
#if defined(_USE_MATH_DEFINES)
|
||||
#define M_E 2.7182818284590452354
|
||||
#define M_LOG2E 1.4426950408889634074
|
||||
#define M_LOG10E 0.43429448190325182765
|
||||
#define M_LN2 0.69314718055994530942
|
||||
#define M_LN10 2.30258509299404568402
|
||||
#define M_PI 3.14159265358979323846
|
||||
#define M_PI_2 1.57079632679489661923
|
||||
#define M_PI_4 0.78539816339744830962
|
||||
#define M_1_PI 0.31830988618379067154
|
||||
#define M_2_PI 0.63661977236758134308
|
||||
#define M_2_SQRTPI 1.12837916709551257390
|
||||
#define M_SQRT2 1.41421356237309504880
|
||||
#define M_SQRT1_2 0.70710678118654752440
|
||||
#endif
|
||||
|
||||
double asin(double x);
|
||||
float asinf(float x);
|
||||
// Floating-point function prototypes
|
||||
double acos(double);
|
||||
float acosf(float);
|
||||
long double acosl(long double);
|
||||
|
||||
double atan(double x);
|
||||
float atanf(float x);
|
||||
double acosh(double);
|
||||
float acoshf(float);
|
||||
long double acoshl(long double);
|
||||
|
||||
double atan2(double y, double x);
|
||||
float atan2f(float y, float x);
|
||||
double asin(double);
|
||||
float asinf(float);
|
||||
long double asinl(long double);
|
||||
|
||||
double cos(double x);
|
||||
float cosf(float x);
|
||||
double asinh(double);
|
||||
float asinhf(float);
|
||||
long double asinhl(long double);
|
||||
|
||||
double sin(double x);
|
||||
float sinf(float x);
|
||||
double atan(double);
|
||||
float atanf(float);
|
||||
long double atanl(long double);
|
||||
|
||||
double tan(double x);
|
||||
float tanf(float x);
|
||||
double atan2(double, double);
|
||||
float atan2f(float, float);
|
||||
long double atan2l(long double, long double);
|
||||
|
||||
double acosh(double x);
|
||||
float acoshf(float x);
|
||||
double atanh(double);
|
||||
float atanhf(float);
|
||||
long double atanhl(long double);
|
||||
|
||||
double asinh(double x);
|
||||
float asinhf(float x);
|
||||
double cbrt(double);
|
||||
float cbrtf(float);
|
||||
long double cbrtl(long double);
|
||||
|
||||
double atanh(double x);
|
||||
float atanhf(float x);
|
||||
double ceil(double);
|
||||
float ceilf(float);
|
||||
long double ceill(long double);
|
||||
|
||||
double cosh(double x);
|
||||
float coshf(float x);
|
||||
double copysign(double, double);
|
||||
float copysignf(float, float);
|
||||
long double copysignl(long double, long double);
|
||||
|
||||
double sinh(double x);
|
||||
float sinhf(float x);
|
||||
double cos(double);
|
||||
float cosf(float);
|
||||
long double cosl(long double);
|
||||
|
||||
double tanh(double x);
|
||||
float tanhf(float x);
|
||||
double cosh(double);
|
||||
float coshf(float);
|
||||
long double coshl(long double);
|
||||
|
||||
double exp(double x);
|
||||
float expf(float x);
|
||||
double erf(double);
|
||||
float erff(float);
|
||||
long double erfl(long double);
|
||||
|
||||
double exp2(double x);
|
||||
float exp2f(float x);
|
||||
double erfc(double);
|
||||
float erfcf(float);
|
||||
long double erfcl(long double);
|
||||
|
||||
double expm1(double x);
|
||||
float expm1f(float x);
|
||||
double exp(double);
|
||||
float expf(float);
|
||||
long double expl(long double);
|
||||
|
||||
double frexp(double value, int *exp);
|
||||
float frexpf(float value, int *exp);
|
||||
double exp2(double);
|
||||
float exp2f(float);
|
||||
long double exp2l(long double);
|
||||
|
||||
int ilogb(double x);
|
||||
int ilogbf(float x);
|
||||
double expm1(double);
|
||||
float expm1f(float);
|
||||
long double expm1l(long double);
|
||||
|
||||
double ldexp(double x, int exp);
|
||||
float ldexpf(float x, int exp);
|
||||
double fabs(double);
|
||||
float fabsf(float);
|
||||
long double fabsl(long double);
|
||||
|
||||
double log(double x);
|
||||
float logf(float x);
|
||||
double fdim(double, double);
|
||||
float fdimf(float, float);
|
||||
long double fdiml(long double, long double);
|
||||
|
||||
double log10(double x);
|
||||
float log10f(float x);
|
||||
double floor(double);
|
||||
float floorf(float);
|
||||
long double floorl(long double);
|
||||
|
||||
double log1p(double x);
|
||||
float log1pf(float x);
|
||||
double fma(double, double, double);
|
||||
float fmaf(float, float, float);
|
||||
long double fmal(long double, long double, long double);
|
||||
|
||||
double log2(double x);
|
||||
float log2f(float x);
|
||||
double fmax(double, double);
|
||||
float fmaxf(float, float);
|
||||
long double fmaxl(long double, long double);
|
||||
|
||||
double logb(double x);
|
||||
float logbf(float x);
|
||||
double fmin(double, double);
|
||||
float fminf(float, float);
|
||||
long double fminl(long double, long double);
|
||||
|
||||
double modf(double value, double *iptr);
|
||||
float modff(float value, float *iptr);
|
||||
double fmod(double, double);
|
||||
float fmodf(float, float);
|
||||
long double fmodl(long double, long double);
|
||||
|
||||
double scalbn(double x, int n);
|
||||
float scalbnf(float x, int n);
|
||||
double frexp(double, int *);
|
||||
float frexpf(float, int *);
|
||||
long double frexpl(long double, int *);
|
||||
|
||||
double scalbln(double x, long int n);
|
||||
float scalblnf(float x, long int n);
|
||||
double hypot(double, double);
|
||||
float hypotf(float, float);
|
||||
long double hypotl(long double, long double);
|
||||
|
||||
double cbrt(double x);
|
||||
float cbrtf(float x);
|
||||
int ilogb(double);
|
||||
int ilogbf(float);
|
||||
int ilogbl(long double);
|
||||
|
||||
double fabs(double x);
|
||||
float fabsf(float x);
|
||||
double ldexp(double, int);
|
||||
float ldexpf(float, int);
|
||||
long double ldexpl(long double, int);
|
||||
|
||||
double hypot(double x, double y);
|
||||
float hypotf(float x, float y);
|
||||
double lgamma(double);
|
||||
float lgammaf(float);
|
||||
long double lgammal(long double);
|
||||
|
||||
double pow(double x, double y);
|
||||
float powf(float x, float y);
|
||||
long long llrint(double);
|
||||
long long llrintf(float);
|
||||
long long llrintl(long double);
|
||||
|
||||
double sqrt(double x);
|
||||
float sqrtf(float x);
|
||||
long long llround(double);
|
||||
long long llroundf(float);
|
||||
long long llroundl(long double);
|
||||
|
||||
double erf(double x);
|
||||
float erff(float x);
|
||||
double log(double);
|
||||
float logf(float);
|
||||
long double logl(long double);
|
||||
|
||||
double erfc(double x);
|
||||
float erfcf(float x);
|
||||
double log10(double);
|
||||
float log10f(float);
|
||||
long double log10l(long double);
|
||||
|
||||
double lgamma(double x);
|
||||
float lgammaf(float x);
|
||||
double log1p(double);
|
||||
float log1pf(float);
|
||||
long double log1pl(long double);
|
||||
|
||||
double tgamma(double x);
|
||||
float tgammaf(float x);
|
||||
double log2(double);
|
||||
float log2f(float);
|
||||
long double log2l(long double);
|
||||
|
||||
double ceil(double x);
|
||||
float ceilf(float x);
|
||||
double logb(double);
|
||||
float logbf(float);
|
||||
long double logbl(long double);
|
||||
|
||||
double floor(double x);
|
||||
float floorf(float x);
|
||||
long lrint(double);
|
||||
long lrintf(float);
|
||||
long lrintl(long double);
|
||||
|
||||
double nearbyint(double x);
|
||||
float nearbyintf(float x);
|
||||
long lround(double);
|
||||
long lroundf(float);
|
||||
long lroundl(long double);
|
||||
|
||||
double rint(double x);
|
||||
float rintf(float x);
|
||||
double modf(double, double *);
|
||||
float modff(float, float *);
|
||||
long double modfl(long double, long double *);
|
||||
|
||||
long int lrint(double x);
|
||||
long int lrintf(float x);
|
||||
double nan(const char *);
|
||||
float nanf(const char *);
|
||||
long double nanl(const char *);
|
||||
|
||||
long long int llrint(double x);
|
||||
long long int llrintf(float x);
|
||||
double nearbyint(double);
|
||||
float nearbyintf(float);
|
||||
long double nearbyintl(long double);
|
||||
|
||||
double round(double x);
|
||||
float roundf(float x);
|
||||
double nextafter(double, double);
|
||||
float nextafterf(float, float);
|
||||
long double nextafterl(long double, long double);
|
||||
|
||||
long int lround(double x);
|
||||
long int lroundf(float x);
|
||||
double nexttoward(double, long double);
|
||||
float nexttowardf(float, long double);
|
||||
long double nexttowardl(long double, long double);
|
||||
|
||||
long long int llround(double x);
|
||||
long long int llroundf(float x);
|
||||
double pow(double, double);
|
||||
float powf(float, float);
|
||||
long double powl(long double, long double);
|
||||
|
||||
double trunc(double x);
|
||||
float truncf(float x);
|
||||
double remainder(double, double);
|
||||
float remainderf(float, float);
|
||||
long double remainderl(long double, long double);
|
||||
|
||||
double fmod(double x, double y);
|
||||
float fmodf(float x, float y);
|
||||
double remquo(double, double, int *);
|
||||
float remquof(float, float, int *);
|
||||
long double remquol(long double, long double, int *);
|
||||
|
||||
double remainder(double x, double y);
|
||||
float remainderf(float x, float y);
|
||||
double rint(double);
|
||||
float rintf(float);
|
||||
long double rintl(long double);
|
||||
|
||||
double remquo(double x, double y, int *quo);
|
||||
float remquof(float x, float y, int *quo);
|
||||
double round(double);
|
||||
float roundf(float);
|
||||
long double roundl(long double);
|
||||
|
||||
double copysign(double x, double y);
|
||||
float copysignf(float x, float y);
|
||||
double scalbln(double, long);
|
||||
float scalblnf(float, long);
|
||||
long double scalblnl(long double, long);
|
||||
|
||||
double nan(const char *tagp);
|
||||
float nanf(const char *tagp);
|
||||
double scalbn(double, int);
|
||||
float scalbnf(float, int);
|
||||
long double scalbnl(long double, int);
|
||||
|
||||
double nextafter(double x, double y);
|
||||
float nextafterf(float x, float y);
|
||||
double sin(double);
|
||||
float sinf(float);
|
||||
long double sinl(long double);
|
||||
|
||||
double fdim(double x, double y);
|
||||
float fdimf(float x, float y);
|
||||
double sinh(double);
|
||||
float sinhf(float);
|
||||
long double sinhl(long double);
|
||||
|
||||
double fmax(double x, double y);
|
||||
float fmaxf(float x, float y);
|
||||
double sqrt(double);
|
||||
float sqrtf(float);
|
||||
long double sqrtl(long double);
|
||||
|
||||
double fmin(double x, double y);
|
||||
float fminf(float x, float y);
|
||||
double tan(double);
|
||||
float tanf(float);
|
||||
long double tanl(long double);
|
||||
|
||||
double fma(double x, double y, double z);
|
||||
float fmaf(float x, float y, float z);
|
||||
double tanh(double);
|
||||
float tanhf(float);
|
||||
long double tanhl(long double);
|
||||
|
||||
double tgamma(double);
|
||||
float tgammaf(float);
|
||||
long double tgammal(long double);
|
||||
|
||||
double trunc(double);
|
||||
float truncf(float);
|
||||
long double truncl(long double);
|
||||
|
||||
|
|
22
test/test5.c
22
test/test5.c
|
@ -1,22 +0,0 @@
|
|||
|
||||
#include <stdio.h>
|
||||
#include <math.h>
|
||||
|
||||
void test_sqrt(float f) {
|
||||
float s = sqrtf(f);
|
||||
printf("sqrt of %f is %f\n", f, s);
|
||||
}
|
||||
|
||||
int main() {
|
||||
test_sqrt(0.0f);
|
||||
test_sqrt(1.0f);
|
||||
test_sqrt(2.0f);
|
||||
test_sqrt(3.0f);
|
||||
test_sqrt(4.0f);
|
||||
test_sqrt(7.0f);
|
||||
test_sqrt(9.0f);
|
||||
test_sqrt(16.0f);
|
||||
test_sqrt(256.0f);
|
||||
test_sqrt(257.0f);
|
||||
return 0;
|
||||
}
|
|
@ -0,0 +1,76 @@
|
|||
|
||||
#include <stdio.h>
|
||||
#include <math.h>
|
||||
#include <float.h>
|
||||
#include <fenv.h>
|
||||
|
||||
const char *show_classification(double x) {
|
||||
switch(fpclassify(x)) {
|
||||
case FP_INFINITE: return "Inf";
|
||||
case FP_NAN: return "NaN";
|
||||
case FP_NORMAL: return "normal";
|
||||
case FP_SUBNORMAL: return "subnormal";
|
||||
case FP_ZERO: return "zero";
|
||||
default: return "unknown";
|
||||
}
|
||||
}
|
||||
|
||||
int main() {
|
||||
|
||||
printf("\n=== fpclassify === \n");
|
||||
double zero = 0.0; // fucken msvc
|
||||
printf("1.0/0.0 is %s\n", show_classification(1.0/zero));
|
||||
printf("0.0/0.0 is %s\n", show_classification(0.0/zero));
|
||||
printf("DBL_MIN/2 is %s\n", show_classification(DBL_MIN/2));
|
||||
printf("-0.0 is %s\n", show_classification(-0.0));
|
||||
printf("1.0 is %s\n", show_classification(1.0));
|
||||
|
||||
printf("\n\n=== signbit === \n");
|
||||
printf("signbit(+0.0) = %d\n", signbit(+0.0));
|
||||
printf("signbit(-0.0) = %d\n", signbit(-0.0));
|
||||
|
||||
printf("\n\n=== copysign === \n");
|
||||
printf("copysign(1.0,+2.0) = %f\n", copysign(1.0,+2.0));
|
||||
printf("copysign(1.0,-2.0) = %f\n", copysign(1.0,-2.0));
|
||||
printf("copysign(INFINITY,-2.0) = %f\n", copysign(INFINITY,-2.0));
|
||||
printf("copysign(NAN,-2.0) = %f\n", copysign(NAN,-2.0));
|
||||
|
||||
printf("\n\n=== rint === \n");
|
||||
fesetround(FE_TONEAREST);
|
||||
printf("rounding to nearest (halfway cases to even):\n"
|
||||
"rint(+2.3) = %f ", rint(2.3));
|
||||
printf("rint(+2.5) = %f ", rint(2.5));
|
||||
printf("rint(+3.5) = %f\n", rint(3.5));
|
||||
printf("rint(-2.3) = %f ", rint(-2.3));
|
||||
printf("rint(-2.5) = %f ", rint(-2.5));
|
||||
printf("rint(-3.5) = %f\n", rint(-3.5));
|
||||
fesetround(FE_DOWNWARD);
|
||||
printf("rounding down: \nrint(+2.3) = %f ", rint(2.3));
|
||||
printf("rint(+2.5) = %f ", rint(2.5));
|
||||
printf("rint(+3.5) = %f\n", rint(3.5));
|
||||
printf("rint(-2.3) = %f ", rint(-2.3));
|
||||
printf("rint(-2.5) = %f ", rint(-2.5));
|
||||
printf("rint(-3.5) = %f\n", rint(-3.5));
|
||||
feclearexcept(FE_ALL_EXCEPT);
|
||||
printf("rint(1.1) = %f\n", rint(1.1));
|
||||
if(fetestexcept(FE_INEXACT)) printf(" FE_INEXACT was raised\n");
|
||||
|
||||
|
||||
float from1 = 0, to1 = nextafterf(from1, 1);
|
||||
printf("The next representable float after %f is %f\n", from1, to1);
|
||||
float from2 = 1, to2 = nextafterf(from2, 2);
|
||||
printf("The next representable float after %f is %f\n", from2, to2);
|
||||
{
|
||||
#pragma STDC FENV_ACCESS ON
|
||||
feclearexcept(FE_ALL_EXCEPT);
|
||||
double from4 = DBL_MAX, to4 = nextafter(from4, INFINITY);
|
||||
printf("The next representable double after %f is %f\n",
|
||||
from4, to4);
|
||||
if(fetestexcept(FE_OVERFLOW)) printf(" raised FE_OVERFLOW\n");
|
||||
if(fetestexcept(FE_INEXACT)) printf(" raised FE_INEXACT\n");
|
||||
}
|
||||
float from5 = 0.0, to5 = nextafter(from5, -0.0);
|
||||
printf("nextafter(+0.0, -0.0) gives %f (%f)\n", to5, to5);
|
||||
|
||||
return 0;
|
||||
}
|
Loading…
Reference in New Issue