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Author SHA1 Message Date
Mark H Weaver
e08a12b535 Add 'round-ash', a rounding arithmetic shift operator
* libguile/numbers.c (left_shift_exact_integer,
  floor_right_shift_exact_integer, round_right_shift_exact_integer): New
  static functions.

  (scm_round_ash): New procedure.

  (scm_ash): Reimplement in terms of 'left_shift_exact_integer' and
  'floor_right_shift_exact_integer'.

* libguile/numbers.h: Add prototype for scm_round_ash.  Rename the
  second argument of 'scm_ash' from 'cnt' to 'count'.

* test-suite/tests/numbers.test (round-ash, ash): Add new unified
  testing framework for 'ash' and 'round-ash'.  Previously, the tests
  for 'ash' were not very comprehensive; for example, they did not
  include a single test where the number to be shifted was a bignum.

* doc/ref/api-data.texi (Bitwise Operations): Add documentation for
  'round-ash'.  Improve documentation for `ash'.
2013-03-12 15:39:20 -04:00
Mark H Weaver
a285b18ca8 Optimize and simplify fractions code.
* libguile/numbers.c (scm_exact_integer_quotient,
  scm_i_make_ratio_already_reduced): New static functions.

  (scm_i_make_ratio): Rewrite in terms of
  'scm_i_make_ratio_already_reduced'.

  (scm_integer_expt): Optimize fraction case.

  (scm_abs, scm_magnitude, scm_difference, do_divide): Use
  'scm_i_make_ratio_already_reduced'.

* test-suite/tests/numbers.test (expt, integer-expt): Add tests.
2013-03-12 15:39:16 -04:00
Mark H Weaver
929d11b2c1 Improve standards conformance of string->number.
Fixes <http://bugs.gnu.org/11887>.

* libguile/numbers.c (mem2ureal): New argument 'allow_inf_or_nan'.
  Accept infinities and NaNs only if 'allow_inf_or_nan' is true and "#e"
  is not present.  Check for "inf.0" or "nan." case-insensitively.  Do
  not accept rationals with zero divisors.

  (mem2complex): Pass new 'allow_inf_or_nan' argument to 'mem2ureal',
  which is set if and only if a explicit sign was present.

* test-suite/tests/numbers.test ("string->number"): Add tests.
2013-03-07 15:37:15 -05:00
Mark H Weaver
cba521fe42 Verify that FLT_RADIX is 2.
* libguile/numbers.c: Trigger a compilation error if FLT_RADIX is not 2.
  This has long been assumed by code in numbers.c.
2013-03-06 15:32:01 -05:00
Mark H Weaver
a2dead1b0f Improve code in scm_gcd for inum/inum case
* libguile/numbers.c (scm_gcd): Improve implementation of inum/inum case
  to be more clear and efficient.
2013-03-06 15:02:26 -05:00
Mark H Weaver
e0c211bb2e Merge remote-tracking branch 'origin/stable-2.0'
Conflicts:
	GUILE-VERSION
	libguile/posix.c
	module/ice-9/eval.scm
	test-suite/tests/cse.test
2013-01-07 17:23:26 -05:00
Mark H Weaver
2355f01709 Avoid signed integer overflow in scm_product
* libguile/numbers.c (scm_product): Avoid signed integer overflow, which
  modern C compilers are allowed to assume will never happen, thus
  allowing them to optimize out our overflow checks.

* test-suite/tests/numbers.test (*): Add tests.
2012-12-07 12:02:07 -05:00
Mark H Weaver
93723f3d1d Revert "Avoid cexp, whose C standard definition is mathematically incorrect"
This reverts commit ecbded71bb.
2012-08-07 18:13:48 -04:00
Mark H Weaver
ecbded71bb Avoid cexp, whose C standard definition is mathematically incorrect
* libguile/numbers.c (scm_exp): Do not use cexp.
2012-07-31 22:52:17 -04:00
Andy Wingo
e0f68f785d 1;3202;0cMerge remote-tracking branch 'origin/stable-2.0' 2012-07-28 12:44:36 +02:00
Mark H Weaver
10a97755d4 Angle of -0.0 is pi, not zero
* libguile/numbers.c (scm_angle): Check the sign of an inexact real
  zero, to ensure that (angle -0.0) => pi and (angle 0.0) => 0.0.

* test-suite/tests/numbers.test (angle): Add tests, and increase
  precision of tests where the angle should be pi.
2012-07-28 02:45:05 -04:00
Andy Wingo
2aed2667fc Merge remote-tracking branch 'origin/stable-2.0'
Conflicts:
	libguile/expand.c
	libguile/hashtab.c
	libguile/ports.c
	libguile/vectors.c
	libguile/weaks.c
	module/language/ecmascript/compile-tree-il.scm
	module/language/tree-il/effects.scm
	module/language/tree-il/fix-letrec.scm
	module/language/tree-il/peval.scm
	test-suite/tests/peval.test
2012-07-06 16:52:54 +02:00
Ludovic Courtès
6922d92f96 Use void *' instead of GC_PTR' internally.
* libguile/finalizers.c, libguile/foreign.c, libguile/guardians.c,
  libguile/hashtab.c, libguile/numbers.c, libguile/ports.c,
  libguile/smob.c, libguile/struct.c, libguile/vectors.c,
  libguile/weaks.c: Use `void *' instead of `GC_PTR'.
2012-07-02 11:19:51 +02:00
Andy Wingo
75ba64d679 use the new finalizer helpers
* libguile/foreign.c (scm_set_pointer_finalizer_x)
* libguile/ports.c (finalize_port)
* libguile/smob.c (scm_i_new_smob, scm_i_new_double_smob)
* libguile/struct.c (scm_i_alloc_struct)
* libguile/numbers.c (make_bignum): Use the new API.
2012-03-08 12:40:27 +01:00
Andy Wingo
6978c67339 use the new finalizer helpers
* libguile/foreign.c (scm_set_pointer_finalizer_x)
* libguile/ports.c (finalize_port, scm_c_make_port_with_encoding)
  (open_iconv_descriptors)
* libguile/smob.c (scm_i_new_smob, scm_i_new_double_smob)
* libguile/struct.c (scm_i_alloc_struct)
* libguile/weak-set.c (weak_gc_finalizer)
  (scm_c_register_weak_gc_callback)
* libguile/weak-table.c (scm_c_register_weak_gc_callback)
  (weak_gc_finalizer)
* libguile/numbers.c (make_bignum): Use the new API.
2012-02-19 20:46:14 +01:00
Andy Wingo
0858753e82 Merge remote-tracking branch 'origin/stable-2.0'
Conflicts:
	GUILE-VERSION
	libguile/gc-malloc.c
	libguile/ports.c
2012-02-08 11:48:08 +01:00
Bake Timmons
b7e64f8b26 Improve the usage of variable names in C docstrings.
* libguile/alist.c:
* libguile/array-map.c:
* libguile/arrays.c:
* libguile/bitvectors.c:
* libguile/filesys.c:
* libguile/foreign.c:
* libguile/generalized-arrays.c:
* libguile/hashtab.c:
* libguile/ioext.c:
* libguile/load.c:
* libguile/numbers.c:
* libguile/ports.c:
* libguile/posix.c:
* libguile/print.c:
* libguile/procprop.c:
* libguile/promises.c:
* libguile/simpos.c:
* libguile/socket.c:
* libguile/srfi-1.c:
* libguile/srfi-13.c:
* libguile/srfi-14.c:
* libguile/stacks.c:
* libguile/stime.c:
* libguile/strings.c:
* libguile/struct.c:
* libguile/symbols.c:
* libguile/threads.c:
* libguile/weak-table.c:
* libguile/weak-vector.c: Make the variable names in the C docstrings more
  consistent.  Replace a few instances of @var with @code when appropriate.
2012-02-02 12:22:10 +01:00
Andy Wingo
04ec290f8b Merge remote-tracking branch 'origin/stable-2.0'
Conflicts:
	libguile/deprecation.c
	libguile/load.c
	libguile/print.c
2011-12-06 19:14:50 +01:00
Andy Wingo
d88f5323d1 fix `free' of mpz_to_str
* libguile/numbers.c (scm_number_to_string): Don't `free' the result of
  mpz_get_str; use the mp free function.
2011-12-02 19:18:05 +01:00
Andy Wingo
ea0582c283 Merge remote-tracking branch 'origin/stable-2.0'
Conflicts:
	libguile/guile.c
	libguile/numbers.c
2011-12-02 12:00:33 +01:00
Andy Wingo
b57bf2724a install gmp memory functions that let libgc know about allocations
* libguile/numbers.c (custom_gmp_malloc, custom_gmp_realloc,
  custom_gmp_free): New static functions used by GMP for allocation.
  These are just wrappers for scm_malloc, scm_realloc, and free.

  (scm_init_numbers): If scm_install_gmp_memory_functions is nonzero,
  use mp_set_memory_functions to configure GMP to use
  custom_gmp_{malloc,realloc,free} for memory allocation.

  (scm_bigprint): Ask gmp for the function used to deallocate the string
  returned by mpz_get_str.

* libguile/numbers.h: Declare scm_install_gmp_memory_functions.

* libguile/guile.c: When running the Guile binary, install the
  gmp_memory_functions.

Based on a patch by Mark H Weaver <mhw@netris.org>.
2011-12-02 11:57:25 +01:00
Andy Wingo
f209aeee9f locking for write, lfwrite
* libguile/ports.c (scm_c_write_unlocked, scm_c_write)
  (scm_lfwrite_unlocked, scm_lfwrite): Add locking and _unlocked
  variants.  Change uses to _unlocked.
2011-11-08 00:55:06 +01:00
Andy Wingo
21041372ed add SCM_{PACK,UNPACK}_POINTER
* libguile/tags.h (SCM_UNPACK_POINTER, SCM_PACK_POINTER): New macros.
  The old SCM2PTR and PTR2SCM were defined in such a way that
  round-tripping through a pointer could lose precision, even in the
  case in which you weren't interested in actually dereferencing the
  pointer, it was simply that you needed to plumb a SCM through APIs
  that take pointers.  These new macros are more like SCM_PACK and
  SCM_UNPACK, but for pointer types.  The bit representation of the
  pointer should be the same as the scm_t_bits representation.

* libguile/gc.h (PTR2SCM, SCM2PTR): Remove support for (old) UNICOS
  pointers.  We are going to try tagging the SCM object itself in the
  future, and I don't think that keeping this support is worth its
  cost.  It probably doesn't work anyway.

* libguile/backtrace.c:
* libguile/bytevectors.c:
* libguile/continuations.c:
* libguile/fluids.c:
* libguile/foreign.c:
* libguile/gc.h:
* libguile/guardians.c:
* libguile/hashtab.c:
* libguile/load.c:
* libguile/numbers.c:
* libguile/ports.c:
* libguile/smob.c:
* libguile/strings.c:
* libguile/symbols.c:
* libguile/vm.c:
* libguile/weak-set.c:
* libguile/weak-table.c:
* libguile/weak-vector.c: Update many sites to use the new macros.
2011-10-24 18:54:04 +02:00
Andy Wingo
a215c15913 Merge remote-tracking branch 'origin/stable-2.0'
Does not include psyntax regeneration.

Conflicts:
	module/ice-9/psyntax-pp.scm
	module/language/tree-il/peval.scm
	test-suite/tests/tree-il.test
2011-10-10 16:20:08 +02:00
Mike Gran
022dda6901 New functions scm_is_exact and scm_is_inexact
* doc/ref/api-data.texi (Exact and Inexact Numbers): doc for scm_is_exact
  and scm_is_inexact
* libguile/numbers.c (scm_is_exact, scm_is_inexact): new functions
* libguile/numbers.h: declarations for scm_is_exact and scm_is_inexact
* test/suite/standalone/test-conversion.c (test_is_exact, test_is_inexact):
  new tests
2011-10-09 20:54:37 -07:00
Andy Wingo
ca12824581 Merge remote-tracking branch 'origin/stable-2.0'
This was a pretty big merge involving a fair amount of porting,
especially to peval and its tests.  I did not update psyntax-pp.scm,
that comes in the next commit.

Conflicts:
	module/ice-9/boot-9.scm
	module/ice-9/psyntax-pp.scm
	module/language/ecmascript/compile-tree-il.scm
	module/language/tree-il.scm
	module/language/tree-il/analyze.scm
	module/language/tree-il/inline.scm
	test-suite/tests/tree-il.test
2011-09-29 18:02:28 +02:00
Ludovic Courtès
91db4a375c Fix misdiagnoses of deprecated `+nan.[^0]' forms.
* libguile/numbers.c (mem2ureal): Check the result of `mem2uinteger'
  against `SCM_INUM0', not 0.
  (mem2uinteger): Add comment.
2011-09-03 22:53:36 +02:00
Andy Wingo
5f237d6e0e deprecate +nan.1
* libguile/numbers.c (mem2ureal): Deprecate nan values that are not
  "+nan.0".
2011-09-03 18:37:51 +02:00
Andy Wingo
8b66aa8f54 Merge remote-tracking branch 'origin/stable-2.0'
Conflicts:
	libguile/bytevectors.c
	libguile/bytevectors.h
	libguile/objcodes.c
	libguile/r6rs-ports.c
	libguile/strings.c
	libguile/vm.c
2011-08-31 09:34:54 +02:00
Andy Wingo
bd61f2e64f remove dead code in scm_ceiling_quotient
* libguile/numbers.c (scm_ceiling_quotient): Remove dead code.  See
  http://article.gmane.org/gmane.lisp.guile.devel/12685.
2011-07-28 17:59:56 +02:00
Andy Wingo
fa075d40dc scm_wta_* procedures replace SCM_WTA_* macros
* libguile/__scm.h: Move all the SCM_WTA and SCM_GASSERT macros out of
  here.  Also remove the scm_call_generic declarations.
* libguile/deprecated.h (SCM_WTA_DISPATCH_0, SCM_WTA_DISPATCH_1):
  (SCM_WTA_DISPATCH_2, SCM_WTA_DISPATCH_N): Deprecate.  See below for
  their replacements.
  (SCM_GASSERT0, SCM_GASSERT1, SCM_GASSERT2, SCM_GASSERTn): Deprecate
  these too.
  (SCM_WTA_DISPATCH_1_SUBR): Deprecate this strange thing.
  (scm_call_generic_0, scm_call_generic_1, scm_call_generic_2):
  (scm_call_generic_3, scm_apply_generic): Remove, indicating their
  replacements.

* libguile/print.c (iprin1):
* libguile/eq.c (scm_equal_p): Use scm_call_2 instead of
  scm_call_generic_2.

* libguile/goops.h:
* libguile/goops.c: Remove scm_{call,apply}_generic definitions.
  (scm_wta_dispatch_0, scm_wta_dispatch_1, scm_wta_dispatch_2):
  (scm_wta_dispatch_n): New procedures, replacing the SCM_WTA macros.

* libguile/numbers.c (scm_lcm):
* libguile/procs.c (scm_setter): Remove uses of SCM_GASSERT.

* libguile/numbers.c (scm_lcm):
* libguile/procs.c (scm_setter):
* libguile/vectors.c: Use the procedural scm_wta routines instead of the
  SCM_WTA macros.
2011-05-15 15:34:16 +02:00
Andy Wingo
412ccea6c9 remove ENGNOT from __scm.h
* libguile/__scm.h: Remove #undef ENGNOT.
* libguile/numbers.c (idbl2str): Remove #ifdef ENGNOT sections.
2011-05-15 15:34:15 +02:00
Andy Wingo
86fb1eb631 merge strictness branch from 2.0 2011-05-13 15:45:43 +02:00
Andy Wingo
2e16a342f2 fix type errors
* libguile/numbers.c (scm_logand): Fix a type error (comparing a SCM
  against an int, when we really wanted to compare the unpacked
  fixnum).

* libguile/ports.c (scm_i_set_conversion_strategy_x): Check
  scm_conversion_strategy_init, not scm_conversion_strategy.

* libguile/read.c (recsexpr): Fix loops to avoid strange test of SCM
  values.
2011-05-13 13:48:07 +02:00
Andy Wingo
fc7bd367ab remove all deprecated code
* libguile/async.c:
* libguile/async.h:
* libguile/debug.h:
* libguile/deprecated.c:
* libguile/deprecated.h:
* libguile/evalext.h:
* libguile/gc-malloc.c:
* libguile/gc.h:
* libguile/gen-scmconfig.c:
* libguile/numbers.c:
* libguile/ports.c:
* libguile/ports.h:
* libguile/procprop.c:
* libguile/procprop.h:
* libguile/read.c:
* libguile/socket.c:
* libguile/srfi-4.h:
* libguile/strings.c:
* libguile/strings.h:
* libguile/tags.h:
* module/ice-9/boot-9.scm:
* module/ice-9/deprecated.scm: Remove all deprecated code.  CPP defines
  that were not previously issuing warnings were changed so that their
  expansions would indicate the replacement forms to use,
  e.g. scm_sizet__GONE__REPLACE_WITH__size_t.

  The two exceptions were SCM_LISTN, which did not produce warnings
  before, and the string-filter argument order stuff.

  Drops the initial dirty memory usage of Guile down to 2.8 MB on my
  machine, from 4.4 MB.
2011-05-12 14:01:26 +02:00
Ludovic Courtès
fb9cfa83a7 Remove the `sizeof (mpz_t)' check.
* libguile/numbers.c: Remove `sizeof (mpz_t)' check, which wasn't need
  anymore since `make_bignum' doesn't make any such assumption.
2011-04-26 00:03:44 +02:00
Ludovic Courtès
bbec460245 Make the `sizeof (mpz_t)' check at compile-time.
* libguile/init.c (scm_i_init_guile): Remove the `sizeof (mpz_t)'
  run-time check.

* libguile/numbers.c: Add a compile-time check for `sizeof (mpz_t)'.
2011-04-25 22:36:30 +02:00
Mark H Weaver
882c89636a Fix the R6RS exact-integer-sqrt and import into core guile
* libguile/numbers.c (scm_exact_integer_sqrt): New C procedure to
  compute exact integer square root and remainder.
  (scm_i_exact_integer_sqrt): New Scheme procedure `exact-integer-sqrt'
  from the R6RS, imported into core guile.

* libguile/numbers.h: Add prototypes.

* module/rnrs/base.scm: Remove broken stub implementation, which would
  fail badly when applied to large integers.

* doc/ref/api-data.texi: Add documentation.

* doc/ref/r6rs.texi: Change documentation for `exact-integer-sqrt' to a
  stub that xrefs the core docs, as is done for other operations
  available in core.

* test-suite/tests/numbers.test: Add tests.

* NEWS: Add news entries.
2011-04-09 16:11:49 -04:00
Mark H Weaver
6ebecdeb7d Fix parsing of exact numbers with negative exponents
* libguile/numbers.c (mem2decimal_from_point): Use scm_divide instead of
  scm_divide2real when applying a negative exponent, to preserve
  exactness in case the "#e" forced exactness specifier is present.
  This fixes a bug where numeric literals such as "#e1e-5" yielded
  incorrect fractions.
2011-04-06 18:24:40 -04:00
Andy Wingo
03976fee3b fix code that causes warnings on gcc 4.6
* libguile/arrays.c (scm_i_read_array):
* libguile/backtrace.c (display_backtrace_body):
* libguile/filesys.c (scm_readdir)
* libguile/i18n.c (chr_to_case):
* libguile/ports.c (register_finalizer_for_port):
* libguile/posix.c (scm_nice):
* libguile/stacks.c (scm_make_stack): Clean up a number of
  set-but-unused vars.  Thanks to Douglas Mencken for the report.

* libguile/numbers.c (scm_log, scm_exp): Fix a few #if cases that should
  be #ifdef.
2011-03-17 12:39:53 +01:00
Mark H Weaver
495a39c40f Quotient, remainder and modulo accept inexact integers
* libguile/numbers.c (scm_quotient, scm_remainder, scm_modulo): Accept
  inexact integers as well as exact ones, as required by the R5RS.

* test-suite/tests/numbers.test (quotient, remainder, modulo): Add tests.
2011-03-08 18:18:31 -05:00
Mark H Weaver
18d78c5e35 Update comments regarding GMP earlier than 4.2.
* libguile/numbers.c: Update comments regarding GMP earlier than 4.2.
  Remove speculations about versions of GMP that had not yet been
  released when the comments were written.  Replace them with facts that
  are now known about the changes made in GMP 4.2.
2011-03-08 17:51:06 -05:00
Mark H Weaver
85bdb6ac9c Portability fix for new log and log10
* libguile/numbers.c: Define M_LN2 if it's not already defined.
  Fix error in comment.
2011-02-22 21:04:08 -05:00
Mark H Weaver
a5f6b751be Improvements to log' and log10'
* libguile/numbers.c (log_of_shifted_double, log_of_exact_integer,
  log_of_exact_integer_with_size, log_of_fraction): New internal static
  functions used by scm_log and scm_log10.

  (scm_log, scm_log10): Robustly handle large integers, large and small
  fractions, and fractions close to 1.  Previously, computing logarithms
  of fractions close to 1 yielded grossly inaccurate results, and the
  other cases yielded infinities even though the answer could easily fit
  in a double.  (log -0.0) now returns -inf.0+<PI>i, where previously it
  returned -inf.0.  (log 0) now throws a numerical overflow exception,
  where previously it returned -inf.0.  (log 0.0) still returns -inf.0.
  Analogous changes made to `log10'.

* test-suite/tests/numbers.test (log, log10): Add tests.

Signed-off-by: Ludovic Courtès <ludo@gnu.org>
2011-02-16 00:40:35 +01:00
Mark H Weaver
c15fe4999a Use trunc in scm_i_inexact_truncate_divide
* libguile/numbers.c (scm_i_inexact_truncate_divide): Use trunc instead
  of floor and ceil.  Important for consistency with
  scm_truncate_quotient and scm_truncate_remainder.

Signed-off-by: Ludovic Courtès <ludo@gnu.org>
2011-02-15 14:31:40 +01:00
Mark H Weaver
c251ab631e Use trunc instead of scm_c_truncate
* libguile/numbers.c (scm_c_truncate, scm_truncate_number,
  scm_i_inexact_truncate_quotient, scm_i_inexact_truncate_remainder):
  Use trunc directly, now that we have its gnulib module.
2011-02-15 09:20:35 +01:00
Mark H Weaver
a8da6d9338 Reduce code size of division operators
* libguile/numbers.c (scm_quotient): Reimplement in terms of
  scm_truncate_quotient.

  (scm_remainder): Reimplement in terms of scm_truncate_remainder.

  (scm_modulo): Reimplement in terms of scm_floor_remainder.

  (scm_euclidean_quotient, scm_euclidean_remainder,
  scm_euclidean_divide): Reimplement in terms of floor and ceiling.
  Make them non-extensible, because there is no need; they will work
  with any objects that implement the floor and ceiling division
  operators, and that can be tested using `negative?'.
2011-02-14 20:31:25 +01:00
Mark H Weaver
8b56bcec44 Optimize truncate, round, floor, and ceiling
* libguile/numbers.c (scm_c_truncate): Use ceil (x) instead of
  -floor (-x).

  (scm_truncate_number): Implement directly instead of by checking the
  sign and using scm_floor or scm_ceiling.  Use scm_truncate_quotient
  for fractions.  Make extensible, so that new number types implemented
  in GOOPS will be able to do the job more efficiently, since it is
  often easier to implement truncate than floor or ceiling.

  (scm_round_number): Optimize fractions case by using
  scm_round_quotient.  Make extensible, so that new number types
  implemented in GOOPS will be able to do the job efficiently.

  (scm_floor, scm_ceiling): Optimize fractions case by using
  scm_floor_quotient and scm_ceiling_quotient, respectively.

* test-suite/tests/numbers.test: Add test cases.
2011-02-14 20:31:14 +01:00
Mark H Weaver
8f9da3406b Add four new sets of fast quotient and remainder operators
* libguile/numbers.c (scm_floor_divide, scm_floor_quotient,
  scm_floor_remainder, scm_ceiling_divide, scm_ceiling_quotient,
  scm_ceiling_remainder, scm_truncate_divide, scm_truncate_quotient,
  scm_truncate_remainder, scm_round_divide, scm_round_quotient,
  scm_round_remainder): New extensible procedures `floor/',
  `floor-quotient', `floor-remainder', `ceiling/', `ceiling-quotient',
  `ceiling-remainder', `truncate/', `truncate-quotient',
  `truncate-remainder', `round/', `round-quotient', and
  `round-remainder'.

* libguile/numbers.h: Add function prototypes.

* test-suite/tests/numbers.test: Add tests.

* doc/ref/api-data.texi (Arithmetic): Add documentation.

* NEWS: Add NEWS entry.
2011-02-14 20:30:53 +01:00
Mark H Weaver
03ddd15bae Optimize division operators handling of fractions
* libguile/numbers.c: (scm_euclidean_quotient, scm_euclidean_remainder,
  scm_euclidean_divide, scm_centered_quotient, scm_centered_remainder,
  scm_centered_divide): Optimize case where both arguments are exact and
  at least one is a fraction, by reducing to a subproblem involving only
  integers, and then adjusting the resulting remainder as needed.
2011-02-14 20:30:49 +01:00