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-rw-r--r--src/internal/libm.h186
-rw-r--r--src/internal/longdbl.h137
2 files changed, 323 insertions, 0 deletions
diff --git a/src/internal/libm.h b/src/internal/libm.h
new file mode 100644
index 00000000..021c4e2a
--- /dev/null
+++ b/src/internal/libm.h
@@ -0,0 +1,186 @@
+/* origin: FreeBSD /usr/src/lib/msun/src/math_private.h */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef _LIBM_H
+#define _LIBM_H
+
+#include <stdint.h>
+#include <float.h>
+#include <math.h>
+#include <complex.h>
+
+#include "longdbl.h"
+
+union fshape {
+ float value;
+ uint32_t bits;
+};
+
+union dshape {
+ double value;
+ uint64_t bits;
+};
+
+/* Get two 32 bit ints from a double. */
+#define EXTRACT_WORDS(hi,lo,d) \
+do { \
+ union dshape __u; \
+ __u.value = (d); \
+ (hi) = __u.bits >> 32; \
+ (lo) = (uint32_t)__u.bits; \
+} while (0)
+
+/* Get a 64 bit int from a double. */
+#define EXTRACT_WORD64(i,d) \
+do { \
+ union dshape __u; \
+ __u.value = (d); \
+ (i) = __u.bits; \
+} while (0)
+
+/* Get the more significant 32 bit int from a double. */
+#define GET_HIGH_WORD(i,d) \
+do { \
+ union dshape __u; \
+ __u.value = (d); \
+ (i) = __u.bits >> 32; \
+} while (0)
+
+/* Get the less significant 32 bit int from a double. */
+#define GET_LOW_WORD(i,d) \
+do { \
+ union dshape __u; \
+ __u.value = (d); \
+ (i) = (uint32_t)__u.bits; \
+} while (0)
+
+/* Set a double from two 32 bit ints. */
+#define INSERT_WORDS(d,hi,lo) \
+do { \
+ union dshape __u; \
+ __u.bits = ((uint64_t)(hi) << 32) | (uint32_t)(lo); \
+ (d) = __u.value; \
+} while (0)
+
+/* Set a double from a 64 bit int. */
+#define INSERT_WORD64(d,i) \
+do { \
+ union dshape __u; \
+ __u.bits = (i); \
+ (d) = __u.value; \
+} while (0)
+
+/* Set the more significant 32 bits of a double from an int. */
+#define SET_HIGH_WORD(d,hi) \
+do { \
+ union dshape __u; \
+ __u.value = (d); \
+ __u.bits &= 0xffffffff; \
+ __u.bits |= (uint64_t)(hi) << 32; \
+ (d) = __u.value; \
+} while (0)
+
+/* Set the less significant 32 bits of a double from an int. */
+#define SET_LOW_WORD(d,lo) \
+do { \
+ union dshape __u; \
+ __u.value = (d); \
+ __u.bits &= 0xffffffff00000000ull; \
+ __u.bits |= (uint32_t)(lo); \
+ (d) = __u.value; \
+} while (0)
+
+/* Get a 32 bit int from a float. */
+#define GET_FLOAT_WORD(i,d) \
+do { \
+ union fshape __u; \
+ __u.value = (d); \
+ (i) = __u.bits; \
+} while (0)
+
+/* Set a float from a 32 bit int. */
+#define SET_FLOAT_WORD(d,i) \
+do { \
+ union fshape __u; \
+ __u.bits = (i); \
+ (d) = __u.value; \
+} while (0)
+
+/* fdlibm kernel functions */
+
+int __rem_pio2_large(double*,double*,int,int,int);
+
+int __rem_pio2(double,double*);
+double __sin(double,double,int);
+double __cos(double,double);
+double __tan(double,double,int);
+double __expo2(double);
+double complex __ldexp_cexp(double complex,int);
+
+int __rem_pio2f(float,double*);
+float __sindf(double);
+float __cosdf(double);
+float __tandf(double,int);
+float __expo2f(float);
+float complex __ldexp_cexpf(float complex,int);
+
+long double __sinl(long double, long double, int);
+long double __cosl(long double, long double);
+long double __tanl(long double, long double, int);
+
+/* polynomial evaluation */
+long double __polevll(long double, long double *, int);
+long double __p1evll(long double, long double *, int);
+
+// FIXME: not needed when -fexcess-precision=standard is supported (>=gcc4.5)
+/*
+ * Attempt to get strict C99 semantics for assignment with non-C99 compilers.
+ */
+#if 1
+#define STRICT_ASSIGN(type, lval, rval) do { \
+ volatile type __v = (rval); \
+ (lval) = __v; \
+} while (0)
+#else
+#define STRICT_ASSIGN(type, lval, rval) ((lval) = (type)(rval))
+#endif
+
+
+/* complex */
+
+union dcomplex {
+ double complex z;
+ double a[2];
+};
+union fcomplex {
+ float complex z;
+ float a[2];
+};
+union lcomplex {
+ long double complex z;
+ long double a[2];
+};
+
+// FIXME: move to complex.h ?
+#define creal(z) ((double)(z))
+#define crealf(z) ((float)(z))
+#define creall(z) ((long double)(z))
+#define cimag(z) ((union dcomplex){(z)}.a[1])
+#define cimagf(z) ((union fcomplex){(z)}.a[1])
+#define cimagl(z) ((union lcomplex){(z)}.a[1])
+
+/* x + y*I is not supported properly by gcc */
+#define cpack(x,y) ((union dcomplex){.a={(x),(y)}}.z)
+#define cpackf(x,y) ((union fcomplex){.a={(x),(y)}}.z)
+#define cpackl(x,y) ((union lcomplex){.a={(x),(y)}}.z)
+
+#endif
diff --git a/src/internal/longdbl.h b/src/internal/longdbl.h
new file mode 100644
index 00000000..25ec8021
--- /dev/null
+++ b/src/internal/longdbl.h
@@ -0,0 +1,137 @@
+#ifndef _LDHACK_H
+#define _LDHACK_H
+
+#include <float.h>
+#include <stdint.h>
+
+#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
+#elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384
+union ldshape {
+ long double value;
+ struct {
+ uint64_t m;
+ uint16_t exp:15;
+ uint16_t sign:1;
+ uint16_t pad;
+ } bits;
+};
+#elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384
+union ldshape {
+ long double value;
+ struct {
+ uint64_t mlo;
+ uint64_t mhi:48;
+ uint16_t exp:15;
+ uint16_t sign:1;
+ } bits;
+};
+#else
+#error Unsupported long double representation
+#endif
+
+
+// FIXME: hacks to make freebsd+openbsd long double code happy
+
+// union and macros for freebsd
+
+#if LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384
+
+union IEEEl2bits {
+ long double e;
+ struct {
+ uint32_t manl:32;
+ uint32_t manh:32;
+ uint32_t exp:15;
+ uint32_t sign:1;
+ uint32_t pad:16;
+ } bits;
+ struct {
+ uint64_t man:64;
+ uint32_t expsign:16;
+ uint32_t pad:16;
+ } xbits;
+};
+
+#define LDBL_MANL_SIZE 32
+#define LDBL_MANH_SIZE 32
+#define LDBL_NBIT (1ull << LDBL_MANH_SIZE-1)
+#undef LDBL_IMPLICIT_NBIT
+#define mask_nbit_l(u) ((u).bits.manh &= ~LDBL_NBIT)
+
+#elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384
+/*
+// ld128 float.h
+//#define LDBL_MAX 1.189731495357231765085759326628007016E+4932L
+#define LDBL_MAX 0x1.ffffffffffffffffffffffffffffp+16383
+#define LDBL_MAX_EXP 16384
+#define LDBL_HAS_INFINITY 1
+//#define LDBL_MIN 3.362103143112093506262677817321752603E-4932L
+#define LDBL_MIN 0x1p-16382
+#define LDBL_HAS_QUIET_NAN 1
+#define LDBL_HAS_DENORM 1
+//#define LDBL_EPSILON 1.925929944387235853055977942584927319E-34L
+#define LDBL_EPSILON 0x1p-112
+#define LDBL_MANT_DIG 113
+#define LDBL_MIN_EXP (-16381)
+#define LDBL_MAX_10_EXP 4932
+#define LDBL_DENORM_MIN 0x0.0000000000000000000000000001p-16381
+#define LDBL_MIN_10_EXP (-4931)
+#define LDBL_DIG 33
+*/
+
+union IEEEl2bits {
+ long double e;
+ struct {
+ uint64_t manl:64;
+ uint64_t manh:48;
+ uint32_t exp:15;
+ uint32_t sign:1;
+ } bits;
+ struct {
+ uint64_t unused0:64;
+ uint64_t unused1:48;
+ uint32_t expsign:16;
+ } xbits;
+};
+
+#define LDBL_MANL_SIZE 64
+#define LDBL_MANH_SIZE 48
+#define LDBL_NBIT (1ull << LDBL_MANH_SIZE)
+#define LDBL_IMPLICIT_NBIT 1
+#define mask_nbit_l(u)
+
+#endif
+
+
+// macros for openbsd
+
+#define GET_LDOUBLE_WORDS(se,mh,ml, f) do{ \
+ union IEEEl2bits u; \
+ u.e = (f); \
+ (se) = u.xbits.expsign; \
+ (mh) = u.bits.manh; \
+ (ml) = u.bits.manl; \
+}while(0)
+
+#define SET_LDOUBLE_WORDS(f, se,mh,ml) do{ \
+ union IEEEl2bits u; \
+ u.xbits.expsign = (se); \
+ u.bits.manh = (mh); \
+ u.bits.manl = (ml); \
+ (f) = u.e; \
+}while(0)
+
+#define GET_LDOUBLE_EXP(se, f) do{ \
+ union IEEEl2bits u; \
+ u.e = (f); \
+ (se) = u.xbits.expsign; \
+}while(0)
+
+#define SET_LDOUBLE_EXP(f, se) do{ \
+ union IEEEl2bits u; \
+ u.e = (f); \
+ u.xbits.expsign = (se); \
+ (f) = u.e; \
+}while(0)
+
+#endif
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