Assume C89 or later for math functions.

This simplifies the code, and makes it a bit smaller and faster,
and (most important) makes it easier to clean up signal handling
since we can stop worring about floating-point exceptions in
library code.  That was a problem before C89, but the problem
went away many years ago on all practical Emacs targets.
* configure.ac (frexp, fmod): Remove checks for these functions,
as we now assume them.
(FLOAT_CHECK_DOMAIN, HAVE_INVERSE_HYPERBOLIC, NO_MATHERR)
(HAVE_EXCEPTION):
Remove; no longer needed.
* admin/CPP-DEFINES (HAVE_FMOD, HAVE_FREXP, FLOAT_CHECK_DOMAIN)
(HAVE_INVERSE_HYPERBOLIC, NO_MATHERR): Remove.
* src/data.c, src/image.c, src/lread.c, src/print.c:
Don't include <math.h>; no longer needed.
* src/data.c, src/floatfns.c (IEEE_FLOATING_POINT): Don't worry that it
might be autoconfigured, as that never happens.
* src/data.c (fmod):
* src/doprnt.c (DBL_MAX_10_EXP):
* src/print.c (DBL_DIG):
Remove.  C89 or later always defines these.
* src/floatfns.c (HAVE_MATHERR, FLOAT_CHECK_ERRNO, FLOAT_CHECK_DOMAIN)
(in_float, float_error_arg, float_error_arg2, float_error_fn_name)
(arith_error, domain_error, domain_error2):
Remove all this pre-C89 cruft.  Do not include <errno.h> as that's
no longer needed -- we simply return what C returns.  All uses removed.
(IN_FLOAT, IN_FLOAT2): Remove.  All uses replaced with
the wrapped code.
(FLOAT_TO_INT, FLOAT_TO_INT2, range_error, range_error2):
Remove.  All uses expanded, as these macros are no longer used
more than once and are now more trouble than they're worth.
(Ftan): Use tan, not sin / cos.
(Flogb): Assume C89 frexp.
(fmod_float): Assume C89 fmod.
(matherr) [HAVE_MATHERR]: Remove; no longer needed.
(init_floatfns): Remove.  All uses removed.

13 files changed, 131 insertions, 416 deletions

diff --git a/ChangeLog b/ChangeLog
index e20edc893e4..198670e59ee 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -1,3 +1,12 @@
+2012-09-09  Paul Eggert  <eggert@cs.ucla.edu>
+
+        Assume C89 or later for math functions (Bug#12381).
+        * configure.ac (frexp, fmod): Remove checks for these functions,
+        as we now assume them.
+        (FLOAT_CHECK_DOMAIN, HAVE_INVERSE_HYPERBOLIC, NO_MATHERR)
+        (HAVE_EXCEPTION):
+        Remove; no longer needed.
+
 2012-09-07  Paul Eggert  <eggert@cs.ucla.edu>
 
         More signal-handler cleanup (Bug#12327).
diff --git a/admin/CPP-DEFINES b/admin/CPP-DEFINES
index d87feb9b866..b40ba78e20d 100644
--- a/admin/CPP-DEFINES
+++ b/admin/CPP-DEFINES
@@ -107,7 +107,6 @@ EMACS_CONFIGURATION
 EMACS_CONFIG_OPTIONS
 EMACS_INT
 EMACS_UINT
-FLOAT_CHECK_DOMAIN
 GC_MARK_SECONDARY_STACK
 GC_MARK_STACK
 GC_SETJMP_WORKS
@@ -158,12 +157,10 @@ HAVE_ENDPWENT
 HAVE_ENVIRON_DECL
 HAVE_EUIDACCESS
 HAVE_FCNTL_H
-HAVE_FMOD
 HAVE_FORK
 HAVE_FPATHCONF
 HAVE_FREEIFADDRS
 HAVE_FREETYPE
-HAVE_FREXP
 HAVE_FSEEKO
 HAVE_FSYNC
 HAVE_FUTIMENS
@@ -217,7 +214,6 @@ HAVE_IFADDRS_H
 HAVE_IMAGEMAGICK
 HAVE_INET_SOCKETS
 HAVE_INTTYPES_H
-HAVE_INVERSE_HYPERBOLIC
 HAVE_JPEG
 HAVE_KERBEROSIV_DES_H
 HAVE_KERBEROSIV_KRB_H
@@ -429,7 +425,6 @@ MAIL_USE_SYSTEM_LOCK
 MAXPATHLEN
 NLIST_STRUCT
 NO_EDITRES
-NO_MATHERR
 NO_TERMIO
 NSIG
 NSIG_MINIMUM
diff --git a/admin/ChangeLog b/admin/ChangeLog
index 54fea2615fd..2c61f437981 100644
--- a/admin/ChangeLog
+++ b/admin/ChangeLog
@@ -1,3 +1,9 @@
+2012-09-09  Paul Eggert  <eggert@cs.ucla.edu>
+
+        Assume C89 or later for math functions (Bug#12381).
+        * CPP-DEFINES (HAVE_FMOD, HAVE_FREXP, FLOAT_CHECK_DOMAIN)
+        (HAVE_INVERSE_HYPERBOLIC, NO_MATHERR): Remove.
+
 2012-09-04  Paul Eggert  <eggert@cs.ucla.edu>
 
         Simplify redefinition of 'abort' (Bug#12316).
diff --git a/configure.ac b/configure.ac
index 5fecea724dc..97e967d8043 100644
--- a/configure.ac
+++ b/configure.ac
@@ -1302,17 +1302,6 @@ if test $emacs_cv_speed_t = yes; then
            [Define to 1 if `speed_t' is declared by <termios.h>.])
 fi
 
-AC_CACHE_CHECK(for struct exception, emacs_cv_struct_exception,
-AC_COMPILE_IFELSE([AC_LANG_PROGRAM([[#include <math.h>]],
-[[static struct exception x; x.arg1 = x.arg2 = x.retval; x.name = ""; x.type = 1;]])],
-  emacs_cv_struct_exception=yes, emacs_cv_struct_exception=no))
-HAVE_EXCEPTION=$emacs_cv_struct_exception
-dnl Define on Darwin so emacs symbols will not conflict with those
-dnl in the System framework.  Otherwise -prebind will not work.
-if test $emacs_cv_struct_exception != yes || test $opsys = darwin; then
-  AC_DEFINE(NO_MATHERR, 1, [Define to 1 if you don't have struct exception in math.h.])
-fi
-
 AC_CHECK_HEADERS_ONCE(sys/socket.h)
 AC_CHECK_HEADERS(net/if.h, , , [AC_INCLUDES_DEFAULT
 #if HAVE_SYS_SOCKET_H
@@ -2781,7 +2770,7 @@ AC_SUBST(BLESSMAIL_TARGET)
 
 AC_CHECK_FUNCS(gethostname \
 closedir getrusage get_current_dir_name \
-lrand48 logb frexp fmod cbrt setsid \
+lrand48 logb cbrt setsid \
 fpathconf select euidaccess getpagesize setlocale \
 utimes getrlimit setrlimit setpgid getcwd shutdown getaddrinfo \
 __fpending strsignal setitimer \
@@ -3211,12 +3200,6 @@ AC_DEFINE(CLASH_DETECTION, 1, [Define if you want lock files to be written,
   so that Emacs can tell instantly when you try to modify a file that
   someone else has modified in his/her Emacs.])
 
-AH_TEMPLATE(FLOAT_CHECK_DOMAIN, [Define if the float library doesn't
-  handle errors by either setting errno, or signaling SIGFPE.])
-
-AH_TEMPLATE(HAVE_INVERSE_HYPERBOLIC, [Define if you have the functions
-  acosh, asinh, and atanh.])
-
 dnl Everybody supports this, except MS.
 dnl Seems like the kind of thing we should be testing for, though.
 ## Note: PTYs are broken on darwin <6.  Use at your own risk.
diff --git a/src/ChangeLog b/src/ChangeLog
index 56b96fda519..ae99fcc138d 100644
--- a/src/ChangeLog
+++ b/src/ChangeLog
@@ -1,3 +1,35 @@
+2012-09-09  Paul Eggert  <eggert@cs.ucla.edu>
+
+        Assume C89 or later for math functions (Bug#12381).
+        This simplifies the code, and makes it a bit smaller and faster,
+        and (most important) makes it easier to clean up signal handling
+        since we can stop worring about floating-point exceptions in
+        library code.  That was a problem before C89, but the problem
+        went away many years ago on all practical Emacs targets.
+        * data.c, image.c, lread.c, print.c:
+        Don't include <math.h>; no longer needed.
+        * data.c, floatfns.c (IEEE_FLOATING_POINT): Don't worry that it
+        might be autoconfigured, as that never happens.
+        * data.c (fmod):
+        * doprnt.c (DBL_MAX_10_EXP):
+        * print.c (DBL_DIG):
+        Remove.  C89 or later always defines these.
+        * floatfns.c (HAVE_MATHERR, FLOAT_CHECK_ERRNO, FLOAT_CHECK_DOMAIN)
+        (in_float, float_error_arg, float_error_arg2, float_error_fn_name)
+        (arith_error, domain_error, domain_error2):
+        Remove all this pre-C89 cruft.  Do not include <errno.h> as that's
+        no longer needed -- we simply return what C returns.  All uses removed.
+        (IN_FLOAT, IN_FLOAT2): Remove.  All uses replaced with
+        the wrapped code.
+        (FLOAT_TO_INT, FLOAT_TO_INT2, range_error, range_error2):
+        Remove.  All uses expanded, as these macros are no longer used
+        more than once and are now more trouble than they're worth.
+        (Ftan): Use tan, not sin / cos.
+        (Flogb): Assume C89 frexp.
+        (fmod_float): Assume C89 fmod.
+        (matherr) [HAVE_MATHERR]: Remove; no longer needed.
+        (init_floatfns): Remove.  All uses removed.
+
 2012-09-08  Jan Djärv  <jan.h.d@swipnet.se>
 
         * nsterm.m (ns_draw_fringe_bitmap, ns_dumpglyphs_image): Take back
diff --git a/src/data.c b/src/data.c
index de107fc04a5..a4cca0a3ee5 100644
--- a/src/data.c
+++ b/src/data.c
@@ -36,17 +36,12 @@ along with GNU Emacs.  If not, see <http://www.gnu.org/licenses/>.  */
 #include "keymap.h"
 
 #include <float.h>
-/* If IEEE_FLOATING_POINT isn't defined, default it from FLT_*.  */
-#ifndef IEEE_FLOATING_POINT
 #if (FLT_RADIX == 2 && FLT_MANT_DIG == 24 \
      && FLT_MIN_EXP == -125 && FLT_MAX_EXP == 128)
 #define IEEE_FLOATING_POINT 1
 #else
 #define IEEE_FLOATING_POINT 0
 #endif
-#endif
-
-#include <math.h>
 
 Lisp_Object Qnil, Qt, Qquote, Qlambda, Qunbound;
 static Lisp_Object Qsubr;
@@ -2737,28 +2732,6 @@ Both must be integers or markers.  */)
   return val;
 }
 
-#ifndef HAVE_FMOD
-double
-fmod (double f1, double f2)
-{
-  double r = f1;
-
-  if (f2 < 0.0)
-    f2 = -f2;
-
-  /* If the magnitude of the result exceeds that of the divisor, or
-     the sign of the result does not agree with that of the dividend,
-     iterate with the reduced value.  This does not yield a
-     particularly accurate result, but at least it will be in the
-     range promised by fmod.  */
-  do
-    r -= f2 * floor (r / f2);
-  while (f2 <= (r < 0 ? -r : r) || ((r < 0) != (f1 < 0) && ! isnan (r)));
-
-  return r;
-}
-#endif /* ! HAVE_FMOD */
-
 DEFUN ("mod", Fmod, Smod, 2, 2, 0,
        doc: /* Return X modulo Y.
 The result falls between zero (inclusive) and Y (exclusive).
diff --git a/src/doprnt.c b/src/doprnt.c
index b36e946005d..3b7391f07d4 100644
--- a/src/doprnt.c
+++ b/src/doprnt.c
@@ -114,10 +114,6 @@ along with GNU Emacs.  If not, see <http://www.gnu.org/licenses/>.  */
    another macro.  */
 #include "character.h"
 
-#ifndef DBL_MAX_10_EXP
-#define DBL_MAX_10_EXP 308 /* IEEE double */
-#endif
-
 /* Generate output from a format-spec FORMAT,
    terminated at position FORMAT_END.
    (*FORMAT_END is not part of the format, but must exist and be readable.)
diff --git a/src/emacs.c b/src/emacs.c
index 36e51869504..deaed25d9e8 100644
--- a/src/emacs.c
+++ b/src/emacs.c
@@ -1587,7 +1587,6 @@ Using an Emacs configured with --with-x-toolkit=lucid does not have this problem
   init_fringe ();
 #endif /* HAVE_WINDOW_SYSTEM */
   init_macros ();
-  init_floatfns ();
   init_window ();
   init_font ();
 
diff --git a/src/floatfns.c b/src/floatfns.c
index dfe063b152f..8a9a9fd0886 100644
--- a/src/floatfns.c
+++ b/src/floatfns.c
@@ -22,26 +22,9 @@ You should have received a copy of the GNU General Public License
 along with GNU Emacs.  If not, see <http://www.gnu.org/licenses/>.  */
 
 
-/* ANSI C requires only these float functions:
+/* C89 requires only these math.h functions:
    acos, asin, atan, atan2, ceil, cos, cosh, exp, fabs, floor, fmod,
    frexp, ldexp, log, log10, modf, pow, sin, sinh, sqrt, tan, tanh.
-
-   Define HAVE_INVERSE_HYPERBOLIC if you have acosh, asinh, and atanh.
-   Define HAVE_CBRT if you have cbrt.
-   Define HAVE_RINT if you have a working rint.
-   If you don't define these, then the appropriate routines will be simulated.
-
-   Define HAVE_MATHERR if on a system supporting the SysV matherr callback.
-   (This should happen automatically.)
-
-   Define FLOAT_CHECK_ERRNO if the float library routines set errno.
-   This has no effect if HAVE_MATHERR is defined.
-
-   Define FLOAT_CHECK_DOMAIN if the float library doesn't handle errors by
-   either setting errno, or signaling SIGFPE.  Otherwise, domain and
-   range checking will happen before calling the float routines.  This has
-   no effect if HAVE_MATHERR is defined (since matherr will be called when
-   a domain error occurs.)
  */
 
 #include <config.h>
@@ -50,15 +33,12 @@ along with GNU Emacs.  If not, see <http://www.gnu.org/licenses/>.  */
 #include "syssignal.h"
 
 #include <float.h>
-/* If IEEE_FLOATING_POINT isn't defined, default it from FLT_*. */
-#ifndef IEEE_FLOATING_POINT
 #if (FLT_RADIX == 2 && FLT_MANT_DIG == 24 \
      && FLT_MIN_EXP == -125 && FLT_MAX_EXP == 128)
 #define IEEE_FLOATING_POINT 1
 #else
 #define IEEE_FLOATING_POINT 0
 #endif
-#endif
 
 #include <math.h>
 
@@ -67,120 +47,6 @@ along with GNU Emacs.  If not, see <http://www.gnu.org/licenses/>.  */
 extern double logb (double);
 #endif /* not HPUX and HAVE_LOGB and no logb macro */
 
-#if defined (DOMAIN) && defined (SING) && defined (OVERFLOW)
-    /* If those are defined, then this is probably a `matherr' machine. */
-# ifndef HAVE_MATHERR
-#  define HAVE_MATHERR
-# endif
-#endif
-
-#ifdef NO_MATHERR
-#undef HAVE_MATHERR
-#endif
-
-#ifdef HAVE_MATHERR
-# ifdef FLOAT_CHECK_ERRNO
-#  undef FLOAT_CHECK_ERRNO
-# endif
-# ifdef FLOAT_CHECK_DOMAIN
-#  undef FLOAT_CHECK_DOMAIN
-# endif
-#endif
-
-#ifndef NO_FLOAT_CHECK_ERRNO
-#define FLOAT_CHECK_ERRNO
-#endif
-
-#ifdef FLOAT_CHECK_ERRNO
-# include <errno.h>
-#endif
-
-/* True while executing in floating point.
-   This tells float_error what to do.  */
-
-static bool in_float;
-
-/* If an argument is out of range for a mathematical function,
-   here is the actual argument value to use in the error message.
-   These variables are used only across the floating point library call
-   so there is no need to staticpro them.  */
-
-static Lisp_Object float_error_arg, float_error_arg2;
-
-static const char *float_error_fn_name;
-
-/* Evaluate the floating point expression D, recording NUM
-   as the original argument for error messages.
-   D is normally an assignment expression.
-   Handle errors which may result in signals or may set errno.
-
-   Note that float_error may be declared to return void, so you can't
-   just cast the zero after the colon to (void) to make the types
-   check properly.  */
-
-#ifdef FLOAT_CHECK_ERRNO
-#define IN_FLOAT(d, name, num)                          \
-  do {                                                  \
-    float_error_arg = num;                              \
-    float_error_fn_name = name;                         \
-    in_float = 1; errno = 0; (d); in_float = 0;         \
-    switch (errno) {                                    \
-    case 0: break;                                      \
-    case EDOM:   domain_error (float_error_fn_name, float_error_arg);   \
-    case ERANGE: range_error (float_error_fn_name, float_error_arg);    \
-    default:     arith_error (float_error_fn_name, float_error_arg);    \
-    }                                                   \
-  } while (0)
-#define IN_FLOAT2(d, name, num, num2)                   \
-  do {                                                  \
-    float_error_arg = num;                              \
-    float_error_arg2 = num2;                            \
-    float_error_fn_name = name;                         \
-    in_float = 1; errno = 0; (d); in_float = 0;         \
-    switch (errno) {                                    \
-    case 0: break;                                      \
-    case EDOM:   domain_error (float_error_fn_name, float_error_arg);   \
-    case ERANGE: range_error (float_error_fn_name, float_error_arg);    \
-    default:     arith_error (float_error_fn_name, float_error_arg);    \
-    }                                                   \
-  } while (0)
-#else
-#define IN_FLOAT(d, name, num) (in_float = 1, (d), in_float = 0)
-#define IN_FLOAT2(d, name, num, num2) (in_float = 1, (d), in_float = 0)
-#endif
-
-/* Convert float to Lisp_Int if it fits, else signal a range error
-   using the given arguments.  */
-#define FLOAT_TO_INT(x, i, name, num)                                   \
-  do                                                                    \
-    {                                                                   \
-      if (FIXNUM_OVERFLOW_P (x))                                        \
-        range_error (name, num);                                        \
-      XSETINT (i,  (EMACS_INT)(x));                                     \
-    }                                                                   \
-  while (0)
-#define FLOAT_TO_INT2(x, i, name, num1, num2)                           \
-  do                                                                    \
-    {                                                                   \
-      if (FIXNUM_OVERFLOW_P (x))                                        \
-        range_error2 (name, num1, num2);                                \
-      XSETINT (i,  (EMACS_INT)(x));                                     \
-    }                                                                   \
-  while (0)
-
-#define arith_error(op,arg) \
-  xsignal2 (Qarith_error, build_string ((op)), (arg))
-#define range_error(op,arg) \
-  xsignal2 (Qrange_error, build_string ((op)), (arg))
-#define range_error2(op,a1,a2) \
-  xsignal3 (Qrange_error, build_string ((op)), (a1), (a2))
-#define domain_error(op,arg) \
-  xsignal2 (Qdomain_error, build_string ((op)), (arg))
-#ifdef FLOAT_CHECK_DOMAIN
-#define domain_error2(op,a1,a2) \
-  xsignal3 (Qdomain_error, build_string ((op)), (a1), (a2))
-#endif
-
 /* Extract a Lisp number as a `double', or signal an error.  */
 
 double
@@ -197,27 +63,19 @@ extract_float (Lisp_Object num)
 
 DEFUN ("acos", Facos, Sacos, 1, 1, 0,
        doc: /* Return the inverse cosine of ARG.  */)
-  (register Lisp_Object arg)
+  (Lisp_Object arg)
 {
   double d = extract_float (arg);
-#ifdef FLOAT_CHECK_DOMAIN
-  if (d > 1.0 || d < -1.0)
-    domain_error ("acos", arg);
-#endif
-  IN_FLOAT (d = acos (d), "acos", arg);
+  d = acos (d);
   return make_float (d);
 }
 
 DEFUN ("asin", Fasin, Sasin, 1, 1, 0,
        doc: /* Return the inverse sine of ARG.  */)
-  (register Lisp_Object arg)
+  (Lisp_Object arg)
 {
   double d = extract_float (arg);
-#ifdef FLOAT_CHECK_DOMAIN
-  if (d > 1.0 || d < -1.0)
-    domain_error ("asin", arg);
-#endif
-  IN_FLOAT (d = asin (d), "asin", arg);
+  d = asin (d);
   return make_float (d);
 }
 
@@ -227,50 +85,44 @@ If only one argument Y is given, return the inverse tangent of Y.
 If two arguments Y and X are given, return the inverse tangent of Y
 divided by X, i.e. the angle in radians between the vector (X, Y)
 and the x-axis.  */)
-  (register Lisp_Object y, Lisp_Object x)
+  (Lisp_Object y, Lisp_Object x)
 {
   double d = extract_float (y);
 
   if (NILP (x))
-    IN_FLOAT (d = atan (d), "atan", y);
+    d = atan (d);
   else
     {
       double d2 = extract_float (x);
-
-      IN_FLOAT2 (d = atan2 (d, d2), "atan", y, x);
+      d = atan2 (d, d2);
     }
   return make_float (d);
 }
 
 DEFUN ("cos", Fcos, Scos, 1, 1, 0,
        doc: /* Return the cosine of ARG.  */)
-  (register Lisp_Object arg)
+  (Lisp_Object arg)
 {
   double d = extract_float (arg);
-  IN_FLOAT (d = cos (d), "cos", arg);
+  d = cos (d);
   return make_float (d);
 }
 
 DEFUN ("sin", Fsin, Ssin, 1, 1, 0,
        doc: /* Return the sine of ARG.  */)
-  (register Lisp_Object arg)
+  (Lisp_Object arg)
 {
   double d = extract_float (arg);
-  IN_FLOAT (d = sin (d), "sin", arg);
+  d = sin (d);
   return make_float (d);
 }
 
 DEFUN ("tan", Ftan, Stan, 1, 1, 0,
        doc: /* Return the tangent of ARG.  */)
-  (register Lisp_Object arg)
+  (Lisp_Object arg)
 {
   double d = extract_float (arg);
-#ifdef FLOAT_CHECK_DOMAIN
-  double c = cos (d);
-  if (c == 0.0)
-    domain_error ("tan", arg);
-#endif
-  IN_FLOAT (d = tan (d), "tan", arg);
+  d = tan (d);
   return make_float (d);
 }
 
@@ -341,61 +193,61 @@ Returns the floating point value resulting from multiplying SGNFCAND
 
 DEFUN ("bessel-j0", Fbessel_j0, Sbessel_j0, 1, 1, 0,
        doc: /* Return the bessel function j0 of ARG.  */)
-  (register Lisp_Object arg)
+  (Lisp_Object arg)
 {
   double d = extract_float (arg);
-  IN_FLOAT (d = j0 (d), "bessel-j0", arg);
+  d = j0 (d);
   return make_float (d);
 }
 
 DEFUN ("bessel-j1", Fbessel_j1, Sbessel_j1, 1, 1, 0,
        doc: /* Return the bessel function j1 of ARG.  */)
-  (register Lisp_Object arg)
+  (Lisp_Object arg)
 {
   double d = extract_float (arg);
-  IN_FLOAT (d = j1 (d), "bessel-j1", arg);
+  d = j1 (d);
   return make_float (d);
 }
 
 DEFUN ("bessel-jn", Fbessel_jn, Sbessel_jn, 2, 2, 0,
        doc: /* Return the order N bessel function output jn of ARG.
 The first arg (the order) is truncated to an integer.  */)
-  (register Lisp_Object n, Lisp_Object arg)
+  (Lisp_Object n, Lisp_Object arg)
 {
   int i1 = extract_float (n);
   double f2 = extract_float (arg);
 
-  IN_FLOAT (f2 = jn (i1, f2), "bessel-jn", n);
+  f2 = jn (i1, f2);
   return make_float (f2);
 }
 
 DEFUN ("bessel-y0", Fbessel_y0, Sbessel_y0, 1, 1, 0,
        doc: /* Return the bessel function y0 of ARG.  */)
-  (register Lisp_Object arg)
+  (Lisp_Object arg)
 {
   double d = extract_float (arg);
-  IN_FLOAT (d = y0 (d), "bessel-y0", arg);
+  d = y0 (d);
   return make_float (d);
 }
 
 DEFUN ("bessel-y1", Fbessel_y1, Sbessel_y1, 1, 1, 0,
        doc: /* Return the bessel function y1 of ARG.  */)
-  (register Lisp_Object arg)
+  (Lisp_Object arg)
 {
   double d = extract_float (arg);
-  IN_FLOAT (d = y1 (d), "bessel-y0", arg);
+  d = y1 (d);
   return make_float (d);
 }
 
 DEFUN ("bessel-yn", Fbessel_yn, Sbessel_yn, 2, 2, 0,
        doc: /* Return the order N bessel function output yn of ARG.
 The first arg (the order) is truncated to an integer.  */)
-  (register Lisp_Object n, Lisp_Object arg)
+  (Lisp_Object n, Lisp_Object arg)
 {
   int i1 = extract_float (n);
   double f2 = extract_float (arg);
 
-  IN_FLOAT (f2 = yn (i1, f2), "bessel-yn", n);
+  f2 = yn (i1, f2);
   return make_float (f2);
 }
 
@@ -405,43 +257,43 @@ The first arg (the order) is truncated to an integer.  */)
 
 DEFUN ("erf", Ferf, Serf, 1, 1, 0,
        doc: /* Return the mathematical error function of ARG.  */)
-  (register Lisp_Object arg)
+  (Lisp_Object arg)
 {
   double d = extract_float (arg);
-  IN_FLOAT (d = erf (d), "erf", arg);
+  d = erf (d);
   return make_float (d);
 }
 
 DEFUN ("erfc", Ferfc, Serfc, 1, 1, 0,
        doc: /* Return the complementary error function of ARG.  */)
-  (register Lisp_Object arg)
+  (Lisp_Object arg)
 {
   double d = extract_float (arg);
-  IN_FLOAT (d = erfc (d), "erfc", arg);
+  d = erfc (d);
   return make_float (d);
 }
 
 DEFUN ("log-gamma", Flog_gamma, Slog_gamma, 1, 1, 0,
        doc: /* Return the log gamma of ARG.  */)
-  (register Lisp_Object arg)
+  (Lisp_Object arg)
 {
   double d = extract_float (arg);
-  IN_FLOAT (d = lgamma (d), "log-gamma", arg);
+  d = lgamma (d);
   return make_float (d);
 }
 
 DEFUN ("cube-root", Fcube_root, Scube_root, 1, 1, 0,
        doc: /* Return the cube root of ARG.  */)
-  (register Lisp_Object arg)
+  (Lisp_Object arg)
 {
   double d = extract_float (arg);
 #ifdef HAVE_CBRT
-  IN_FLOAT (d = cbrt (d), "cube-root", arg);
+  d = cbrt (d);
 #else
   if (d >= 0.0)
-    IN_FLOAT (d = pow (d, 1.0/3.0), "cube-root", arg);
+    d = pow (d, 1.0/3.0);
   else
-    IN_FLOAT (d = -pow (-d, 1.0/3.0), "cube-root", arg);
+    d = -pow (-d, 1.0/3.0);
 #endif
   return make_float (d);
 }
@@ -450,23 +302,16 @@ DEFUN ("cube-root", Fcube_root, Scube_root, 1, 1, 0,
 
 DEFUN ("exp", Fexp, Sexp, 1, 1, 0,
        doc: /* Return the exponential base e of ARG.  */)
-  (register Lisp_Object arg)
+  (Lisp_Object arg)
 {
   double d = extract_float (arg);
-#ifdef FLOAT_CHECK_DOMAIN
-  if (d > 709.7827)   /* Assume IEEE doubles here */
-    range_error ("exp", arg);
-  else if (d < -709.0)
-    return make_float (0.0);
-  else
-#endif
-    IN_FLOAT (d = exp (d), "exp", arg);
+  d = exp (d);
   return make_float (d);
 }
 
 DEFUN ("expt", Fexpt, Sexpt, 2, 2, 0,
        doc: /* Return the exponential ARG1 ** ARG2.  */)
-  (register Lisp_Object arg1, Lisp_Object arg2)
+  (Lisp_Object arg1, Lisp_Object arg2)
 {
   double f1, f2, f3;
 
@@ -495,72 +340,46 @@ DEFUN ("expt", Fexpt, Sexpt, 2, 2, 0,
     }
   f1 = FLOATP (arg1) ? XFLOAT_DATA (arg1) : XINT (arg1);
   f2 = FLOATP (arg2) ? XFLOAT_DATA (arg2) : XINT (arg2);
-  /* Really should check for overflow, too */
-  if (f1 == 0.0 && f2 == 0.0)
-    f1 = 1.0;
-#ifdef FLOAT_CHECK_DOMAIN
-  else if ((f1 == 0.0 && f2 < 0.0) || (f1 < 0 && f2 != floor (f2)))
-    domain_error2 ("expt", arg1, arg2);
-#endif
-  IN_FLOAT2 (f3 = pow (f1, f2), "expt", arg1, arg2);
-  /* Check for overflow in the result.  */
-  if (f1 != 0.0 && f3 == 0.0)
-    range_error ("expt", arg1);
+  f3 = pow (f1, f2);
   return make_float (f3);
 }
 
 DEFUN ("log", Flog, Slog, 1, 2, 0,
        doc: /* Return the natural logarithm of ARG.
 If the optional argument BASE is given, return log ARG using that base.  */)
-  (register Lisp_Object arg, Lisp_Object base)
+  (Lisp_Object arg, Lisp_Object base)
 {
   double d = extract_float (arg);
 
-#ifdef FLOAT_CHECK_DOMAIN
-  if (d <= 0.0)
-    domain_error2 ("log", arg, base);
-#endif
   if (NILP (base))
-    IN_FLOAT (d = log (d), "log", arg);
+    d = log (d);
   else
     {
       double b = extract_float (base);
 
-#ifdef FLOAT_CHECK_DOMAIN
-      if (b <= 0.0 || b == 1.0)
-        domain_error2 ("log", arg, base);
-#endif
       if (b == 10.0)
-        IN_FLOAT2 (d = log10 (d), "log", arg, base);
+        d = log10 (d);
       else
-        IN_FLOAT2 (d = log (d) / log (b), "log", arg, base);
+        d = log (d) / log (b);
     }
   return make_float (d);
 }
 
 DEFUN ("log10", Flog10, Slog10, 1, 1, 0,
        doc: /* Return the logarithm base 10 of ARG.  */)
-  (register Lisp_Object arg)
+  (Lisp_Object arg)
 {
   double d = extract_float (arg);
-#ifdef FLOAT_CHECK_DOMAIN
-  if (d <= 0.0)
-    domain_error ("log10", arg);
-#endif
-  IN_FLOAT (d = log10 (d), "log10", arg);
+  d = log10 (d);
   return make_float (d);
 }
 
 DEFUN ("sqrt", Fsqrt, Ssqrt, 1, 1, 0,
        doc: /* Return the square root of ARG.  */)
-  (register Lisp_Object arg)
+  (Lisp_Object arg)
 {
   double d = extract_float (arg);
-#ifdef FLOAT_CHECK_DOMAIN
-  if (d < 0.0)
-    domain_error ("sqrt", arg);
-#endif
-  IN_FLOAT (d = sqrt (d), "sqrt", arg);
+  d = sqrt (d);
   return make_float (d);
 }
 
@@ -568,83 +387,55 @@ DEFUN ("sqrt", Fsqrt, Ssqrt, 1, 1, 0,
 
 DEFUN ("acosh", Facosh, Sacosh, 1, 1, 0,
        doc: /* Return the inverse hyperbolic cosine of ARG.  */)
-  (register Lisp_Object arg)
+  (Lisp_Object arg)
 {
   double d = extract_float (arg);
-#ifdef FLOAT_CHECK_DOMAIN
-  if (d < 1.0)
-    domain_error ("acosh", arg);
-#endif
-#ifdef HAVE_INVERSE_HYPERBOLIC
-  IN_FLOAT (d = acosh (d), "acosh", arg);
-#else
-  IN_FLOAT (d = log (d + sqrt (d*d - 1.0)), "acosh", arg);
-#endif
+  d = acosh (d);
   return make_float (d);
 }
 
 DEFUN ("asinh", Fasinh, Sasinh, 1, 1, 0,
        doc: /* Return the inverse hyperbolic sine of ARG.  */)
-  (register Lisp_Object arg)
+  (Lisp_Object arg)
 {
   double d = extract_float (arg);
-#ifdef HAVE_INVERSE_HYPERBOLIC
-  IN_FLOAT (d = asinh (d), "asinh", arg);
-#else
-  IN_FLOAT (d = log (d + sqrt (d*d + 1.0)), "asinh", arg);
-#endif
+  d = asinh (d);
   return make_float (d);
 }
 
 DEFUN ("atanh", Fatanh, Satanh, 1, 1, 0,
        doc: /* Return the inverse hyperbolic tangent of ARG.  */)
-  (register Lisp_Object arg)
+  (Lisp_Object arg)
 {
   double d = extract_float (arg);
-#ifdef FLOAT_CHECK_DOMAIN
-  if (d >= 1.0 || d <= -1.0)
-    domain_error ("atanh", arg);
-#endif
-#ifdef HAVE_INVERSE_HYPERBOLIC
-  IN_FLOAT (d = atanh (d), "atanh", arg);
-#else
-  IN_FLOAT (d = 0.5 * log ((1.0 + d) / (1.0 - d)), "atanh", arg);
-#endif
+  d = atanh (d);
   return make_float (d);
 }
 
 DEFUN ("cosh", Fcosh, Scosh, 1, 1, 0,
        doc: /* Return the hyperbolic cosine of ARG.  */)
-  (register Lisp_Object arg)
+  (Lisp_Object arg)
 {
   double d = extract_float (arg);
-#ifdef FLOAT_CHECK_DOMAIN
-  if (d > 710.0 || d < -710.0)
-    range_error ("cosh", arg);
-#endif
-  IN_FLOAT (d = cosh (d), "cosh", arg);
+  d = cosh (d);
   return make_float (d);
 }
 
 DEFUN ("sinh", Fsinh, Ssinh, 1, 1, 0,
        doc: /* Return the hyperbolic sine of ARG.  */)
-  (register Lisp_Object arg)
+  (Lisp_Object arg)
 {
   double d = extract_float (arg);
-#ifdef FLOAT_CHECK_DOMAIN
-  if (d > 710.0 || d < -710.0)
-    range_error ("sinh", arg);
-#endif
-  IN_FLOAT (d = sinh (d), "sinh", arg);
+  d = sinh (d);
   return make_float (d);
 }
 
 DEFUN ("tanh", Ftanh, Stanh, 1, 1, 0,
        doc: /* Return the hyperbolic tangent of ARG.  */)
-  (register Lisp_Object arg)
+  (Lisp_Object arg)
 {
   double d = extract_float (arg);
-  IN_FLOAT (d = tanh (d), "tanh", arg);
+  d = tanh (d);
   return make_float (d);
 }
 #endif
@@ -689,33 +480,11 @@ This is the same as the exponent of a float.  */)
   else
     {
 #ifdef HAVE_LOGB
-      IN_FLOAT (value = logb (f), "logb", arg);
+      value = logb (f);
 #else
-#ifdef HAVE_FREXP
       int ivalue;
-      IN_FLOAT (frexp (f, &ivalue), "logb", arg);
+      frexp (f, &ivalue);
       value = ivalue - 1;
-#else
-      int i;
-      double d;
-      if (f < 0.0)
-        f = -f;
-      value = -1;
-      while (f < 0.5)
-        {
-          for (i = 1, d = 0.5; d * d >= f; i += i)
-            d *= d;
-          f /= d;
-          value -= i;
-        }
-      while (f >= 1.0)
-        {
-          for (i = 1, d = 2.0; d * d <= f; i += i)
-            d *= d;
-          f /= d;
-          value += i;
-        }
-#endif
 #endif
     }
   XSETINT (val, value);
@@ -748,8 +517,10 @@ rounding_driver (Lisp_Object arg, Lisp_Object divisor,
           if (! IEEE_FLOATING_POINT && f2 == 0)
             xsignal0 (Qarith_error);
 
-          IN_FLOAT2 (f1 = (*double_round) (f1 / f2), name, arg, divisor);
-          FLOAT_TO_INT2 (f1, arg, name, arg, divisor);
+          f1 = (*double_round) (f1 / f2);
+          if (FIXNUM_OVERFLOW_P (f1))
+            xsignal3 (Qrange_error, build_string (name), arg, divisor);
+          arg = make_number (f1);
           return arg;
         }
 
@@ -765,10 +536,10 @@ rounding_driver (Lisp_Object arg, Lisp_Object divisor,
 
   if (FLOATP (arg))
     {
-      double d;
-
-      IN_FLOAT (d = (*double_round) (XFLOAT_DATA (arg)), name, arg);
-      FLOAT_TO_INT (d, arg, name, arg);
+      double d = (*double_round) (XFLOAT_DATA (arg));
+      if (FIXNUM_OVERFLOW_P (d))
+        xsignal2 (Qrange_error, build_string (name), arg);
+      arg = make_number (d);
     }
 
   return arg;
@@ -885,97 +656,57 @@ fmod_float (Lisp_Object x, Lisp_Object y)
   f1 = FLOATP (x) ? XFLOAT_DATA (x) : XINT (x);
   f2 = FLOATP (y) ? XFLOAT_DATA (y) : XINT (y);
 
-  if (! IEEE_FLOATING_POINT && f2 == 0)
-    xsignal0 (Qarith_error);
+  f1 = fmod (f1, f2);
 
   /* If the "remainder" comes out with the wrong sign, fix it.  */
-  IN_FLOAT2 ((f1 = fmod (f1, f2),
-              f1 = (f2 < 0 ? f1 > 0 : f1 < 0) ? f1 + f2 : f1),
-             "mod", x, y);
+  if (f2 < 0 ? 0 < f1 : f1 < 0)
+    f1 += f2;
+
   return make_float (f1);
 }
 
-/* It's not clear these are worth adding.  */
-
 DEFUN ("fceiling", Ffceiling, Sfceiling, 1, 1, 0,
        doc: /* Return the smallest integer no less than ARG, as a float.
 \(Round toward +inf.\)  */)
-  (register Lisp_Object arg)
+  (Lisp_Object arg)
 {
   double d = extract_float (arg);
-  IN_FLOAT (d = ceil (d), "fceiling", arg);
+  d = ceil (d);
   return make_float (d);
 }
 
 DEFUN ("ffloor", Fffloor, Sffloor, 1, 1, 0,
        doc: /* Return the largest integer no greater than ARG, as a float.
 \(Round towards -inf.\)  */)
-  (register Lisp_Object arg)
+  (Lisp_Object arg)
 {
   double d = extract_float (arg);
-  IN_FLOAT (d = floor (d), "ffloor", arg);
+  d = floor (d);
   return make_float (d);
 }
 
 DEFUN ("fround", Ffround, Sfround, 1, 1, 0,
        doc: /* Return the nearest integer to ARG, as a float.  */)
-  (register Lisp_Object arg)
+  (Lisp_Object arg)
 {
   double d = extract_float (arg);
-  IN_FLOAT (d = emacs_rint (d), "fround", arg);
+  d = emacs_rint (d);
   return make_float (d);
 }
 
 DEFUN ("ftruncate", Fftruncate, Sftruncate, 1, 1, 0,
        doc: /* Truncate a floating point number to an integral float value.
 Rounds the value toward zero.  */)
-  (register Lisp_Object arg)
+  (Lisp_Object arg)
 {
   double d = extract_float (arg);
   if (d >= 0.0)
-    IN_FLOAT (d = floor (d), "ftruncate", arg);
+    d = floor (d);
   else
-    IN_FLOAT (d = ceil (d), "ftruncate", arg);
+    d = ceil (d);
   return make_float (d);
 }
 
-#ifdef HAVE_MATHERR
-int
-matherr (struct exception *x)
-{
-  Lisp_Object args;
-  const char *name = x->name;
-
-  if (! in_float)
-    /* Not called from emacs-lisp float routines; do the default thing. */
-    return 0;
-  if (!strcmp (x->name, "pow"))
-    name = "expt";
-
-  args
-    = Fcons (build_string (name),
-             Fcons (make_float (x->arg1),
-                    ((!strcmp (name, "log") || !strcmp (name, "pow"))
-                     ? Fcons (make_float (x->arg2), Qnil)
-                     : Qnil)));
-  switch (x->type)
-    {
-    case DOMAIN:        xsignal (Qdomain_error, args);          break;
-    case SING:          xsignal (Qsingularity_error, args);     break;
-    case OVERFLOW:      xsignal (Qoverflow_error, args);        break;
-    case UNDERFLOW:     xsignal (Qunderflow_error, args);       break;
-    default:            xsignal (Qarith_error, args);           break;
-    }
-  return (1);   /* don't set errno or print a message */
-}
-#endif /* HAVE_MATHERR */
-
-void
-init_floatfns (void)
-{
-  in_float = 0;
-}
-
 void
 syms_of_floatfns (void)
 {
diff --git a/src/image.c b/src/image.c
index fc99f882973..4ec6105d72d 100644
--- a/src/image.c
+++ b/src/image.c
@@ -19,7 +19,6 @@ along with GNU Emacs.  If not, see <http://www.gnu.org/licenses/>.  */
 
 #include <config.h>
 #include <stdio.h>
-#include <math.h>
 #include <unistd.h>
 
 #ifdef HAVE_PNG
diff --git a/src/lisp.h b/src/lisp.h
index e6594b5890c..95ea87a15d2 100644
--- a/src/lisp.h
+++ b/src/lisp.h
@@ -2687,7 +2687,6 @@ extern void syms_of_fns (void);
 
 /* Defined in floatfns.c */
 extern double extract_float (Lisp_Object);
-extern void init_floatfns (void);
 extern void syms_of_floatfns (void);
 extern Lisp_Object fmod_float (Lisp_Object x, Lisp_Object y);
 
diff --git a/src/lread.c b/src/lread.c
index 4f3a93b16b4..02b13affb6a 100644
--- a/src/lread.c
+++ b/src/lread.c
@@ -50,7 +50,6 @@ along with GNU Emacs.  If not, see <http://www.gnu.org/licenses/>.  */
 #endif
 
 #include <unistd.h>
-#include <math.h>
 
 #ifdef HAVE_SETLOCALE
 #include <locale.h>
diff --git a/src/print.c b/src/print.c
index 72e536e4278..ab86ee1a8b5 100644
--- a/src/print.c
+++ b/src/print.c
@@ -45,15 +45,9 @@ static Lisp_Object Qtemp_buffer_setup_hook;
 
 static Lisp_Object Qfloat_output_format;
 
-#include <math.h>
 #include <float.h>
 #include <ftoastr.h>
 
-/* Default to values appropriate for IEEE floating point.  */
-#ifndef DBL_DIG
-#define DBL_DIG 15
-#endif
-
 /* Avoid actual stack overflow in print.  */
 static ptrdiff_t print_depth;