/* Numeric types for XEmacs.
   Copyright (C) 2004 Jerry James.
   Copyright (C) 2010 Ben Wing.

This file is part of XEmacs.

XEmacs is free software: you can redistribute it and/or modify it
under the terms of the GNU General Public License as published by the
Free Software Foundation, either version 3 of the License, or (at your
option) any later version.

XEmacs is distributed in the hope that it will be useful, but WITHOUT
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
for more details.

You should have received a copy of the GNU General Public License
along with XEmacs.  If not, see <http://www.gnu.org/licenses/>. */

/* Synched up with: Not in FSF. */

#include <config.h>
#include <limits.h>
#include "lisp.h"

#ifdef HAVE_BIGFLOAT
#define USED_IF_BIGFLOAT(decl) decl
#else
#define USED_IF_BIGFLOAT(decl) UNUSED (decl)
#endif

Lisp_Object Qrationalp, Qfloatingp, Qrealp;
Lisp_Object Vdefault_float_precision;

static Lisp_Object Qunsupported_type;
static Lisp_Object Vbigfloat_max_prec;
static int number_initialized;

#ifdef HAVE_BIGNUM
bignum scratch_bignum, scratch_bignum2;
#endif
#ifdef HAVE_RATIO
ratio scratch_ratio, scratch_ratio2;
#endif
#ifdef HAVE_BIGFLOAT
bigfloat scratch_bigfloat, scratch_bigfloat2;
#endif

/********************************* Bignums **********************************/
#ifdef HAVE_BIGNUM
static void
bignum_print (Lisp_Object obj, Lisp_Object printcharfun,
	      int UNUSED (escapeflag))
{
  Ascbyte *bstr = bignum_to_string (XBIGNUM_DATA (obj), 10);
  write_ascstring (printcharfun, bstr);
  xfree (bstr);
}

#ifdef NEW_GC
static void
bignum_finalize (Lisp_Object obj)
{
  struct Lisp_Bignum *num = XBIGNUM (obj);
  /* #### WARNING: It would be better to put some sort of check to make
     sure this doesn't happen more than once, just in case ---
     e.g. checking if it's zero before finalizing and then setting it to
     zero after finalizing. */
  bignum_fini (num->data);
}
#endif

static int
bignum_equal (Lisp_Object obj1, Lisp_Object obj2, int UNUSED (depth),
	      int UNUSED (foldcase))
{
  return bignum_eql (XBIGNUM_DATA (obj1), XBIGNUM_DATA (obj2));
}

static Hashcode
bignum_hash (Lisp_Object obj, int UNUSED (depth), Boolint equalp)
{
  if (equalp)
    {
      return FLOAT_HASHCODE_FROM_DOUBLE (bignum_to_double (XBIGNUM_DATA (obj)));
    }
  else
    {
      return bignum_hashcode (XBIGNUM_DATA (obj));
    }
}

static void
bignum_convert (const void *object, void **data, Bytecount *size)
{
  CIbyte *bstr = bignum_to_string (*(bignum *)object, 10);
  *data = bstr;
  *size = strlen(bstr)+1;
}

static void
bignum_convfree (const void * UNUSED (object), void *data,
		 Bytecount UNUSED (size))
{
  xfree (data);
}

static void *
bignum_deconvert (void *object, void *data, Bytecount UNUSED (size))
{
  bignum *b = (bignum *) object;
  bignum_init(*b);
  bignum_set_string(*b, (const char *) data, 10);
  return object;
}

static const struct opaque_convert_functions bignum_opc = {
  bignum_convert,
  bignum_convfree,
  bignum_deconvert
};

static const struct memory_description bignum_description[] = {
  { XD_OPAQUE_DATA_CONVERTIBLE, offsetof (Lisp_Bignum, data),
    0, { &bignum_opc }, XD_FLAG_NO_KKCC },
  { XD_END }
};

DEFINE_DUMPABLE_FROB_BLOCK_LISP_OBJECT ("bignum", bignum, 0, bignum_print,
					IF_NEW_GC (bignum_finalize),
					bignum_equal, bignum_hash,
					bignum_description, Lisp_Bignum); 
#endif /* HAVE_BIGNUM */

Lisp_Object Qbignump;

DEFUN ("bignump", Fbignump, 1, 1, 0, /*
Return t if OBJECT is a bignum, nil otherwise.
*/
       (object))
{
  return BIGNUMP (object) ? Qt : Qnil;
}


/********************************** Ratios **********************************/
#ifdef HAVE_RATIO
static void
ratio_print (Lisp_Object obj, Lisp_Object printcharfun,
	     int UNUSED (escapeflag))
{
  CIbyte *rstr = ratio_to_string (XRATIO_DATA (obj), 10);
  write_ascstring (printcharfun, rstr);
  xfree (rstr);
}

#ifdef NEW_GC
static void
ratio_finalize (Lisp_Object obj)
{
  struct Lisp_Ratio *num = XRATIO (obj);
  /* #### WARNING: It would be better to put some sort of check to make
     sure this doesn't happen more than once, just in case ---
     e.g. checking if it's zero before finalizing and then setting it to
     zero after finalizing. */
  ratio_fini (num->data);
}
#endif /* not NEW_GC */

static int
ratio_equal (Lisp_Object obj1, Lisp_Object obj2, int UNUSED (depth),
	     int UNUSED (foldcase))
{
  return ratio_eql (XRATIO_DATA (obj1), XRATIO_DATA (obj2));
}

static Hashcode
ratio_hash (Lisp_Object obj, int UNUSED (depth), Boolint equalp)
{
  if (equalp)
    {
      return FLOAT_HASHCODE_FROM_DOUBLE (ratio_to_double (XRATIO_DATA (obj)));
    }
  else
    {
      return ratio_hashcode (XRATIO_DATA (obj));
    }
}

static const struct memory_description ratio_description[] = {
  { XD_OPAQUE_PTR, offsetof (Lisp_Ratio, data) },
  { XD_END }
};

DEFINE_NODUMP_FROB_BLOCK_LISP_OBJECT ("ratio", ratio, 0, ratio_print,
				      IF_NEW_GC (ratio_finalize),
				      ratio_equal, ratio_hash,
				      ratio_description, Lisp_Ratio);

#endif /* HAVE_RATIO */

Lisp_Object Qratiop;

DEFUN ("ratiop", Fratiop, 1, 1, 0, /*
Return t if OBJECT is a ratio, nil otherwise.
*/
       (object))
{
  return RATIOP (object) ? Qt : Qnil;
}


/******************************** Rationals *********************************/
DEFUN ("rationalp", Frationalp, 1, 1, 0, /*
Return t if OBJECT is a rational, nil otherwise.
*/
       (object))
{
  return RATIONALP (object) ? Qt : Qnil;
}

DEFUN ("numerator", Fnumerator, 1, 1, 0, /*
Return the numerator of the canonical form of RATIONAL.
If RATIONAL is an integer, RATIONAL is returned.
*/
       (rational))
{
  CONCHECK_RATIONAL (rational);
#ifdef HAVE_RATIO
  if (RATIOP (rational))
    {
      return
	Fcanonicalize_number (make_bignum_bg (XRATIO_NUMERATOR (rational)));
    }
#endif
  return rational;
}

DEFUN ("denominator", Fdenominator, 1, 1, 0, /*
Return the denominator of the canonical form of RATIONAL.
If RATIONAL is an integer, 1 is returned.
*/
       (rational))
{
  CONCHECK_RATIONAL (rational);
#ifdef HAVE_RATIO
  if (RATIOP (rational))
    {
      return Fcanonicalize_number (make_bignum_bg
				   (XRATIO_DENOMINATOR (rational)));
    }
#endif
  return make_fixnum (1);
}


/******************************** Bigfloats *********************************/
#ifdef HAVE_BIGFLOAT
static void
bigfloat_print (Lisp_Object obj, Lisp_Object printcharfun,
		int UNUSED (escapeflag))
{
  Ascbyte *fstr = bigfloat_to_string (XBIGFLOAT_DATA (obj), 10);
  write_ascstring (printcharfun, fstr);
  xfree (fstr);
}

#ifdef NEW_GC
static void
bigfloat_finalize (Lisp_Object obj)
{
  struct Lisp_Bigfloat *num = XBIGFLOAT (obj);
  /* #### WARNING: It would be better to put some sort of check to make
     sure this doesn't happen more than once, just in case ---
     e.g. checking if it's zero before finalizing and then setting it to
     zero after finalizing. */
  bigfloat_fini (num->bf);
}
#endif /* not NEW_GC */

static int
bigfloat_equal (Lisp_Object obj1, Lisp_Object obj2, int UNUSED (depth),
		int UNUSED (foldcase))
{
  return bigfloat_eql (XBIGFLOAT_DATA (obj1), XBIGFLOAT_DATA (obj2));
}

static Hashcode
bigfloat_hash (Lisp_Object obj, int UNUSED (depth), Boolint equalp)
{
  if (equalp)
    {
      return
        FLOAT_HASHCODE_FROM_DOUBLE (bigfloat_to_double (XBIGFLOAT_DATA (obj)));
    }
  else
    {
      return bigfloat_hashcode (XBIGFLOAT_DATA (obj));
    }
}

static const struct memory_description bigfloat_description[] = {
  { XD_OPAQUE_PTR, offsetof (Lisp_Bigfloat, bf) },
  { XD_END }
};

DEFINE_DUMPABLE_FROB_BLOCK_LISP_OBJECT ("bigfloat", bigfloat, 0,
					bigfloat_print,
					IF_NEW_GC (bigfloat_finalize),
					bigfloat_equal, bigfloat_hash,
					bigfloat_description, Lisp_Bigfloat);

#endif /* HAVE_BIGFLOAT */

Lisp_Object Qbigfloatp;

DEFUN ("bigfloatp", Fbigfloatp, 1, 1, 0, /*
Return t if OBJECT is a bigfloat, nil otherwise.
*/
       (object))
{
  return BIGFLOATP (object) ? Qt : Qnil;
}

DEFUN ("bigfloat-get-precision", Fbigfloat_get_precision, 1, 1, 0, /*
Return the precision of bigfloat F as an integer.
*/
       (f))
{
  CHECK_BIGFLOAT (f);
#ifdef HAVE_BIGFLOAT
#ifdef HAVE_BIGNUM
  bignum_set_ulong (scratch_bignum, XBIGFLOAT_GET_PREC (f));
  return Fcanonicalize_number (make_bignum_bg (scratch_bignum));
#else
  return make_fixnum ((int) XBIGFLOAT_GET_PREC (f));
#endif
#endif
}

DEFUN ("bigfloat-set-precision", Fbigfloat_set_precision, 2, 2, 0, /*
Set the precision of F, a bigfloat, to PRECISION, a nonnegative integer.
The new precision of F is returned.  Note that the return value may differ
from PRECISION if the underlying library is unable to support exactly
PRECISION bits of precision.
*/
       (f, precision))
{
  unsigned long prec;

  CHECK_BIGFLOAT (f);
  if (FIXNUMP (precision))
    {
      prec = (XFIXNUM (precision) <= 0) ? (EMACS_UINT)1 : (unsigned long) XFIXNUM (precision);
    }
#ifdef HAVE_BIGNUM
  else if (BIGNUMP (precision))
    {
      prec = bignum_fits_ulong_p (XBIGNUM_DATA (precision))
	? bignum_to_ulong (XBIGNUM_DATA (precision))
	: UINT_MAX;
    }
#endif
  else
    {
      dead_wrong_type_argument (Qintegerp, f);
      return Qnil;
    }
#ifdef HAVE_BIGFLOAT
  XBIGFLOAT_SET_PREC (f, prec);
#endif
  return Fbigfloat_get_precision (f);
}

static int
default_float_precision_changed (Lisp_Object UNUSED (sym), Lisp_Object *val,
				 Lisp_Object UNUSED (in_object),
				 int UNUSED (flags))
{
  unsigned long prec;

  CONCHECK_INTEGER (*val);
#ifdef HAVE_BIGFLOAT
  if (FIXNUMP (*val))
    prec = XFIXNUM (*val);
  else
    {
      if (!bignum_fits_ulong_p (XBIGNUM_DATA (*val)))
	args_out_of_range_3 (*val, Qzero, Vbigfloat_max_prec);
      prec = bignum_to_ulong (XBIGNUM_DATA (*val));
    }
  if (prec != 0UL)
    bigfloat_set_default_prec (prec);
#endif
  return 0;
}


/********************************* Floating *********************************/
Lisp_Object
make_floating (double d)
{
#ifdef HAVE_BIGFLOAT
  if (ZEROP (Vdefault_float_precision))
#endif
    return make_float (d);
#ifdef HAVE_BIGFLOAT
  else
    return make_bigfloat (d, 0UL);
#endif
}

DEFUN ("floatingp", Ffloatingp, 1, 1, 0, /*
Return t if OBJECT is a floating point number of any kind, nil otherwise.
*/
       (object))
{
  return FLOATINGP (object) ? Qt : Qnil;
}


/********************************** Reals ***********************************/
DEFUN ("realp", Frealp, 1, 1, 0, /*
Return t if OBJECT is a real, nil otherwise.
*/
       (object))
{
  return REALP (object) ? Qt : Qnil;
}


/********************************* Numbers **********************************/
DEFUN ("canonicalize-number", Fcanonicalize_number, 1, 1, 0, /*
Return the canonical form of NUMBER.
*/
       (number))
{
  /* The tests should go in order from larger, more expressive, or more
     complex types to smaller, less expressive, or simpler types so that a
     number can cascade all the way down to the simplest type if
     appropriate. */
#ifdef HAVE_RATIO
  if (RATIOP (number) &&
      bignum_fits_long_p (XRATIO_DENOMINATOR (number)) &&
      bignum_to_long (XRATIO_DENOMINATOR (number)) == 1L)
    number = Fcanonicalize_number (make_bignum_bg (XRATIO_NUMERATOR (number)));
#endif
#ifdef HAVE_BIGNUM
  if (BIGNUMP (number) && bignum_fits_emacs_int_p (XBIGNUM_DATA (number)))
    {
      EMACS_INT n = bignum_to_emacs_int (XBIGNUM_DATA (number));
      if (NUMBER_FITS_IN_A_FIXNUM (n))
	number = make_fixnum (n);
    }
#endif
  return number;
}

enum number_type
get_number_type (Lisp_Object arg)
{
  if (FIXNUMP (arg))
    return FIXNUM_T;
#ifdef HAVE_BIGNUM
  if (BIGNUMP (arg))
    return BIGNUM_T;
#endif
#ifdef HAVE_RATIO
  if (RATIOP (arg))
    return RATIO_T;
#endif
  if (FLOATP (arg))
    return FLOAT_T;
#ifdef HAVE_BIGFLOAT
  if (BIGFLOATP (arg))
    return BIGFLOAT_T;
#endif
  /* Catch unintentional bad uses of this function */
  ABORT ();
  /* NOTREACHED */
  return FIXNUM_T;
}

/* Convert NUMBER to type TYPE.  If TYPE is BIGFLOAT_T then use the indicated
   PRECISION; otherwise, PRECISION is ignored. */
static Lisp_Object
internal_coerce_number (Lisp_Object number, enum number_type type,
#ifdef HAVE_BIGFLOAT
			unsigned long precision
#else
			unsigned long UNUSED (precision)
#endif
			)
{
  enum number_type current_type;

  if (CHARP (number))
    number = make_fixnum (XCHAR (number));
  else if (MARKERP (number))
    number = make_fixnum (marker_position (number));

  /* Note that CHECK_NUMBER ensures that NUMBER is a supported type.  Hence,
     we ABORT() in the #else sections below, because it shouldn't be possible
     to arrive there. */
  CHECK_NUMBER (number);
  current_type = get_number_type (number);
  switch (current_type)
    {
    case FIXNUM_T:
      switch (type)
	{
	case FIXNUM_T:
	  return number;
	case BIGNUM_T:
#ifdef HAVE_BIGNUM
	  return make_bignum (XREALFIXNUM (number));
#else
	  ABORT ();
#endif /* HAVE_BIGNUM */
	case RATIO_T:
#ifdef HAVE_RATIO
	  return make_ratio (XREALFIXNUM (number), (EMACS_UINT)1);
#else
	  ABORT ();
#endif /* HAVE_RATIO */
	case FLOAT_T:
	  return make_float (XREALFIXNUM (number));
	case BIGFLOAT_T:
#ifdef HAVE_BIGFLOAT
	  return make_bigfloat (XREALFIXNUM (number), precision);
#else
	  ABORT ();
#endif /* HAVE_BIGFLOAT */
	}
    case BIGNUM_T:
#ifdef HAVE_BIGNUM
      switch (type)
	{
	case FIXNUM_T:
	  return make_fixnum (bignum_to_long (XBIGNUM_DATA (number)));
	case BIGNUM_T:
	  return number;
	case RATIO_T:
#ifdef HAVE_RATIO
	  bignum_set_long (scratch_bignum, 1L);
	  return make_ratio_bg (XBIGNUM_DATA (number), scratch_bignum);
#else
	  ABORT ();
#endif /* HAVE_RATIO */
	case FLOAT_T:
	  return make_float (bignum_to_double (XBIGNUM_DATA (number)));
	case BIGFLOAT_T:
#ifdef HAVE_BIGFLOAT
	  {
	    Lisp_Object temp;
	    temp = make_bigfloat (0.0, precision);
	    bigfloat_set_bignum (XBIGFLOAT_DATA (temp), XBIGNUM_DATA (number));
	    return temp;
	  }
#else
	  ABORT ();
#endif /* HAVE_BIGFLOAT */
	}
#else
      ABORT ();
#endif /* HAVE_BIGNUM */
    case RATIO_T:
#ifdef HAVE_RATIO
      switch (type)
	{
	case FIXNUM_T:
	  bignum_div (scratch_bignum, XRATIO_NUMERATOR (number),
		      XRATIO_DENOMINATOR (number));
	  return make_fixnum (bignum_to_long (scratch_bignum));
	case BIGNUM_T:
	  bignum_div (scratch_bignum, XRATIO_NUMERATOR (number),
		      XRATIO_DENOMINATOR (number));
	  return make_bignum_bg (scratch_bignum);
	case RATIO_T:
	  return number;
	case FLOAT_T:
	  return make_float (ratio_to_double (XRATIO_DATA (number)));
	case BIGFLOAT_T:
#ifdef HAVE_BIGFLOAT
	  {
	    Lisp_Object temp;
	    temp = make_bigfloat (0.0, precision);
	    bigfloat_set_ratio (XBIGFLOAT_DATA (temp), XRATIO_DATA (number));
	    return temp;
	  }
#else
	  ABORT ();
#endif /* HAVE_BIGFLOAT */
	}
#else
      ABORT ();
#endif /* HAVE_RATIO */
    case FLOAT_T:
      switch (type)
	{
	case FIXNUM_T:
	  return Ftruncate (number, Qnil);
	case BIGNUM_T:
#ifdef HAVE_BIGNUM
	  bignum_set_double (scratch_bignum, XFLOAT_DATA (number));
	  return make_bignum_bg (scratch_bignum);
#else
	  ABORT ();
#endif /* HAVE_BIGNUM */
	case RATIO_T:
#ifdef HAVE_RATIO
	  ratio_set_double (scratch_ratio, XFLOAT_DATA (number));
	  return make_ratio_rt (scratch_ratio);
#else
	  ABORT ();
#endif /* HAVE_RATIO */
	case FLOAT_T:
	  return number;
	case BIGFLOAT_T:
#ifdef HAVE_BIGFLOAT
	  bigfloat_set_prec (scratch_bigfloat, precision);
	  bigfloat_set_double (scratch_bigfloat, XFLOAT_DATA (number));
	  return make_bigfloat_bf (scratch_bigfloat);
#else
	  ABORT ();
#endif /* HAVE_BIGFLOAT */
	}
    case BIGFLOAT_T:
#ifdef HAVE_BIGFLOAT
      switch (type)
	{
	case FIXNUM_T:
	  return make_fixnum (bigfloat_to_long (XBIGFLOAT_DATA (number)));
	case BIGNUM_T:
#ifdef HAVE_BIGNUM
	  bignum_set_bigfloat (scratch_bignum, XBIGFLOAT_DATA (number));
	  return make_bignum_bg (scratch_bignum);
#else
	  ABORT ();
#endif /* HAVE_BIGNUM */
	case RATIO_T:
#ifdef HAVE_RATIO
	  ratio_set_bigfloat (scratch_ratio, XBIGFLOAT_DATA (number));
	  return make_ratio_rt (scratch_ratio);
#else
	  ABORT ();
#endif
	case FLOAT_T:
	  return make_float (bigfloat_to_double (XBIGFLOAT_DATA (number)));
	case BIGFLOAT_T:
	  /* FIXME: Do we need to change the precision? */
	  return number;
	}
#else
      ABORT ();
#endif /* HAVE_BIGFLOAT */
    }
  ABORT ();
  /* NOTREACHED */
  return Qzero;
}

/* This function promotes its arguments as necessary to make them both the
   same type.  It destructively modifies its arguments to do so.  Characters
   and markers are ALWAYS converted to integers. */
enum number_type
promote_args (Lisp_Object *arg1, Lisp_Object *arg2)
{
  enum number_type type1, type2;

  if (CHARP (*arg1))
    *arg1 = make_fixnum (XCHAR (*arg1));
  else if (MARKERP (*arg1))
    *arg1 = make_fixnum (marker_position (*arg1));
  if (CHARP (*arg2))
    *arg2 = make_fixnum (XCHAR (*arg2));
  else if (MARKERP (*arg2))
    *arg2 = make_fixnum (marker_position (*arg2));

  CHECK_NUMBER (*arg1);
  CHECK_NUMBER (*arg2);

  type1 = get_number_type (*arg1);
  type2 = get_number_type (*arg2);

  if (type1 < type2)
    {
      *arg1 = internal_coerce_number (*arg1, type2,
#ifdef HAVE_BIGFLOAT
				      type2 == BIGFLOAT_T
				      ? XBIGFLOAT_GET_PREC (*arg2) :
#endif
				      0UL);
      return type2;
    }

  if (type2 < type1)
    {
      *arg2 = internal_coerce_number (*arg2, type1,
#ifdef HAVE_BIGFLOAT
				      type1 == BIGFLOAT_T
				      ? XBIGFLOAT_GET_PREC (*arg1) :
#endif
				      0UL);
      return type1;
    }

  /* No conversion necessary */
  return type1;
}

DEFUN ("coerce-number", Fcoerce_number, 2, 3, 0, /*
Convert NUMBER to the indicated type, possibly losing information.
Do not call this function.  Use `coerce' instead.

TYPE is one of the symbols `fixnum', `integer', `ratio', `float', or
`bigfloat'.  Not all of these types may be supported.

PRECISION is the number of bits of precision to use when converting to
bigfloat; it is ignored otherwise.  If nil, the default precision is used.

Note that some conversions lose information.  No error is signaled in such
cases; the information is silently lost.
*/
       (number, type, USED_IF_BIGFLOAT (precision)))
{
  CHECK_SYMBOL (type);
  if (EQ (type, Qfixnum))
    return internal_coerce_number (number, FIXNUM_T, 0UL);
  else if (EQ (type, Qinteger))
    {
      /* If bignums are available, we always convert to one first, then
	 downgrade to a fixnum if possible. */
#ifdef HAVE_BIGNUM
      return Fcanonicalize_number
	(internal_coerce_number (number, BIGNUM_T, 0UL));
#else
      return internal_coerce_number (number, FIXNUM_T, 0UL);
#endif
    }
#ifdef HAVE_RATIO
  else if (EQ (type, Qratio))
    return internal_coerce_number (number, RATIO_T, 0UL);
#endif
  else if (EQ (type, Qfloat))
    return internal_coerce_number (number, FLOAT_T, 0UL);
#ifdef HAVE_BIGFLOAT
  else if (EQ (type, Qbigfloat))
    {
      unsigned long prec;

      if (NILP (precision))
	prec = bigfloat_get_default_prec ();
      else
	{
	  CHECK_INTEGER (precision);
#ifdef HAVE_BIGNUM
	  if (FIXNUMP (precision))
#endif /* HAVE_BIGNUM */
	    prec = (unsigned long) XREALFIXNUM (precision);
#ifdef HAVE_BIGNUM
	  else
	    {
	      if (!bignum_fits_ulong_p (XBIGNUM_DATA (precision)))
		args_out_of_range (precision, Vbigfloat_max_prec);
	      prec = bignum_to_ulong (XBIGNUM_DATA (precision));
	    }
#endif /* HAVE_BIGNUM */
	}
      return internal_coerce_number (number, BIGFLOAT_T, prec);
    }
#endif /* HAVE_BIGFLOAT */

  Fsignal (Qunsupported_type, type);
  /* NOTREACHED */
  return Qnil;
}


void
syms_of_number (void)
{
#ifdef HAVE_BIGNUM
  INIT_LISP_OBJECT (bignum);
#endif
#ifdef HAVE_RATIO
  INIT_LISP_OBJECT (ratio);
#endif
#ifdef HAVE_BIGFLOAT
  INIT_LISP_OBJECT (bigfloat);
#endif

  /* Type predicates */
  DEFSYMBOL (Qrationalp);
  DEFSYMBOL (Qfloatingp);
  DEFSYMBOL (Qrealp);
  DEFSYMBOL (Qbignump);
  DEFSYMBOL (Qratiop);
  DEFSYMBOL (Qbigfloatp);

  /* Functions */
  DEFSUBR (Fbignump);
  DEFSUBR (Fratiop);
  DEFSUBR (Frationalp);
  DEFSUBR (Fnumerator);
  DEFSUBR (Fdenominator);
  DEFSUBR (Fbigfloatp);
  DEFSUBR (Fbigfloat_get_precision);
  DEFSUBR (Fbigfloat_set_precision);
  DEFSUBR (Ffloatingp);
  DEFSUBR (Frealp);
  DEFSUBR (Fcanonicalize_number);
  DEFSUBR (Fcoerce_number);

  /* Errors */
  DEFERROR_STANDARD (Qunsupported_type, Qwrong_type_argument);
}

void
vars_of_number (void)
{
  /* These variables are Lisp variables rather than number variables so that
     we can put bignums in them. */
  DEFVAR_LISP_MAGIC ("default-float-precision", &Vdefault_float_precision, /*
The default floating-point precision for newly created floating point values.
This should be 0 to create Lisp float types, or an unsigned integer no greater
than `bigfloat-maximum-precision' to create Lisp bigfloat types with the
indicated precision.
*/ default_float_precision_changed);
  Vdefault_float_precision = make_fixnum (0);

  DEFVAR_CONST_LISP ("bigfloat-maximum-precision", &Vbigfloat_max_prec /*
The maximum number of bits of precision a bigfloat can have.
This is determined by the underlying library used to implement bigfloats.
*/);

#ifdef HAVE_BIGFLOAT
  /* Don't create a bignum here.  Otherwise, we lose with NEW_GC + pdump.
     See reinit_vars_of_number(). */
  Vbigfloat_max_prec = make_fixnum (MOST_POSITIVE_FIXNUM);
#else
  Vbigfloat_max_prec = make_fixnum (0);
#endif /* HAVE_BIGFLOAT */

  Fprovide (intern ("number-types"));
#ifdef HAVE_BIGNUM
  Fprovide (intern ("bignum"));
#endif
#ifdef HAVE_RATIO
  Fprovide (intern ("ratio"));
#endif
#ifdef HAVE_BIGFLOAT
  Fprovide (intern ("bigfloat"));
#endif
}

void
reinit_vars_of_number (void)
{
#if defined(HAVE_BIGFLOAT) && defined(HAVE_BIGNUM)
  Vbigfloat_max_prec = make_bignum (0L);
  bignum_set_ulong (XBIGNUM_DATA (Vbigfloat_max_prec), ULONG_MAX);
#endif
}

void
init_number (void)
{
  if (!number_initialized)
    {
      number_initialized = 1;

#if defined(WITH_GMP) || defined(WITH_MPIR)
      init_number_gmp ();
#endif
#ifdef WITH_MP
      init_number_mp ();
#endif

#ifdef HAVE_BIGNUM
      bignum_init (scratch_bignum);
      bignum_init (scratch_bignum2);
#endif

#ifdef HAVE_RATIO
      ratio_init (scratch_ratio);
      ratio_init (scratch_ratio2);
#endif

#ifdef HAVE_BIGFLOAT
      bigfloat_init (scratch_bigfloat);
      bigfloat_init (scratch_bigfloat2);
#endif

#ifndef PDUMP
      reinit_vars_of_number ();
#endif
    }
}