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Author SHA1 Message Date
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
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
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
c05696aa94 Fix comment above number-theoretic division tests
* test-suite/tests/numbers.test: Fix comment.

Signed-off-by: Ludovic Courtès <ludo@gnu.org>
2011-02-16 00:40:11 +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
4a46bc2a5f Fixes and improvements to number-theoretic division operators
* libguile/numbers.c (scm_euclidean_quotient, scm_euclidean_divide,
  scm_centered_quotient, scm_centered_divide): Fix bug in inum/inum
  case, where (quotient most-negative-fixnum -1) would not be converted
  to a bignum.

  (scm_euclidean_quotient): Be more anal-retentive about calling
  scm_remember_upto_here_1 after mpz_sgn, (even though mpz_sgn is
  documented as being implemented as a macro and certainly won't
  do any allocation).  It's better to be safe than sorry here.

  (scm_euclidean_quotient, scm_centered_quotient): In the bignum/inum
  case, check if the divisor is 1, since this will allow us to avoid
  allocating a new bignum.

  (scm_euclidean_divide, scm_centered_quotient, scm_centered_divide):
  When computing the intermediate truncated quotient (xx / yy) and
  remainder, use (xx % yy) instead of (xx - qq * yy), on the theory that
  the compiler is more likely to handle this case intelligently and
  maybe combine the operations.

  (scm_euclidean_divide): In the bignum/inum case, we know that the
  remainder will fit in an fixnum, so don't bother allocating a bignum
  for it.

  (scm_euclidean_quotient, scm_euclidean_remainder,
  scm_euclidean_divide, scm_centered_quotient, scm_centered_remainder,
  scm_centered_divide): Minor stylistic changes.

* test-suite/tests/numbers.test: Rework testing framework for
  number-theoretic division operators to be more efficient and
  comprehensive in its testing of code paths and problem cases.
2011-02-12 13:00:43 +01:00
Mark H Weaver
9d427b2cc3 Improved exactness handling for complex number parsing
When parsing non-real complex numbers, apply exactness specifiers on
per-component basis, as is done in PLT Scheme.  For complex numbers
written in rectangular form, exactness specifiers are applied to the
real and imaginary parts before calling scm_make_rectangular.  For
complex numbers written in polar form, exactness specifiers are applied
to the magnitude and angle before calling scm_make_polar.

There are two kinds of exactness specifiers: forced and implicit.  A
forced exactness specifier is a "#e" or "#i" prefix at the beginning of
the entire number, and applies to both components of a complex number.
"#e" causes each component to be made exact, and "#i" causes each
component to be made inexact.  If no forced exactness specifier is
present, then the exactness of each component is determined
independently by the presence or absence of a decimal point or hash mark
within that component.  If a decimal point or hash mark is present, the
component is made inexact, otherwise it is made exact.

After the exactness specifiers have been applied to each component, they
are passed to either scm_make_rectangular or scm_make_polar to produce
the final result.  Note that this will result in a real number if the
imaginary part, magnitude, or angle is an exact 0.

Previously, both forced and implicit exactness specifiers applied to
the number as a whole _after_ calling scm_make_rectangular or
scm_make_polar.

For example, (string->number "#i5.0+0i") now does the equivalent of:

  (make-rectangular (exact->inexact 5.0) (exact->inexact 0))

which yields 5.0+0.0i.  Previously it did the equivalent of:

  (exact->inexact (make-rectangular 5.0 0))

which yielded 5.0.

* libguile/numbers.c (mem2ureal): Receive a forced exactness specifier
  (forced_x), create and maintain our own implicit exactness specifier
  flag local to this component (implicit_x), and apply these exactness
  specifiers within this function.  Previously, we received a pointer to
  an implicit exactness specifier flag from above, and the exactness
  specifiers were applied from within scm_i_string_length.

  (mem2complex): Receive a forced exactness specifier parameter and pass
  it down to mem2ureal.  Previously, we passed down a pointer to an
  implicit exactness specifier flag instead.

  (scm_i_string_to_number): No longer create an implicit exactness
  specifier flag here, and do not apply exactness specifiers here.  All
  we do here now regarding exactness is to parse the "#e" or "#i" prefix
  (if any) and pass this information down to mem2ureal via mem2complex
  in the form of an explicit exactness specifier (forced_x).

  (scm_c_make_polar): If the cosine and sine of the angle are both NaNs
  and the magnitude is zero, return 0.0+0.0i instead of +nan.0+nan.0i.
  This case happens when the angle is not finite.

* test-suite/tests/numbers.test (string->number): Move the test cases
  for non-real complex numbers into a separate table in which the
  expected real and imaginary parts are separate entries.  Add several
  new test cases.
2011-02-03 10:50:24 +01:00
Mark H Weaver
c721848287 Support non-real complex numbers with inexact zero imaginary part
Add the ability to represent non-real complex numbers whose imaginary
part is an _inexact_ zero (0.0 or -0.0), per R6RS.  Previously, such
numbers were immediately changed into inexact reals.

* libguile/numbers.c: Remove from the list of `General assumptions' in
  numbers.c that objects satisfying SCM_COMPLEXP() have a non-zero
  complex component.  This is no longer true.  Also add a warning
  about another unrelated assumption that is not entirely correct
  (that floor(r) == r implies that mpz_set_d will DTRT; it won't
  if r is infinite).

  (icmplx2str): Always print the imaginary part, even if it is zero.
  Also handle a negative zero imaginary part more gracefully.  It
  now prints 0.0-0.0i, where previously it would print 0.0+-0.0i.

  (mem2ureal): Replace scm_from_double (0.0) with flo0.

  (scm_c_make_rectangular): Always create non-real complex numbers.
  Previously it would create inexact reals if the specified imaginary
  part was zero.

  (scm_make_rectangular): If the imaginary part is an _exact_ 0, return
  the real part unchanged (possibly exact), otherwise return a non-real
  complex number (possibly with an inexact zero imaginary part).
  Previously, it would return an inexact real number whenever the
  imaginary part was any kind of zero.

  (scm_make_polar): If the magnitude is an exact 0, return an exact 0.
  If the angle is an exact 0, return the magnitude unchanged (possibly
  exact).  Otherwise return a non-real complex number (possibly with an
  inexact zero imaginary part).  Previously, it would return a real
  number whenever the imaginary part was any kind of zero.

  (scm_imag_part): Return an exact 0 if applied to a real number.
  Previously it would return an inexact zero if applied to an inexact
  real number.

  (scm_inexact_to_exact): Accept complex numbers with inexact zero
  imaginary part.  In that case, simply use the real part and ignore the
  imaginary part.  Essentially we coerce the inexact zero imaginary part
  to an exact 0.

* test-suite/tests/numbers.test: Add many test cases, and modify
  existing tests as needed to reflect these changes.  Also add a new
  internal predicate: `almost-real-nan?' which tests for a non-real
  complex number with zero imaginary part whose real part is a NaN.

* doc/ref/api-data.texi (Complex Numbers): Update description of complex
  numbers to reflect these changes: non-real complex numbers in Guile
  need not have non-zero imaginary part.  Also, each part of a complex
  number may be any inexact real, not just rationals as was previously
  stated.  Explicitly mention that each part may be an infinity, a NaN,
  or a signed zero.

  (Complex Number Operations): Change the formal parameter names of
  `make-polar' from `x' and `y' to `mag' and `ang'.

* NEWS: Add news entries.
2011-02-02 21:34:01 +01:00
Mark H Weaver
9b9ef10cf0 Improve handling of signed zeroes
* libguile/numbers.c (scm_abs): (abs -0.0) now returns 0.0.  Previously
  it returned -0.0.  Also move the REALP case above the BIGP case,
  and consider it SCM_LIKELY to be REALP if not INUMP.
  (scm_difference): (- 0 0.0) now returns -0.0.  Previously it returned
  0.0.  Also make sure that (- 0 0.0+0.0i) will return -0.0-0.0i.

* test-suite/tests/numbers.test (abs, -): Add test cases, and change
  some tests to use `eqv?' instead of `=', in order to test exactness
  and distinguish signed zeroes.
2011-02-02 21:28:18 +01:00
Mark H Weaver
8deddc948d Trigonometric functions return exact numbers in some cases
* libguile/numbers.c (scm_sin, scm_cos, scm_tan, scm_asin, scm_acos,
  scm_atan, scm_sinh, scm_cosh, scm_tanh, scm_sys_asinh, scm_sys_acosh,
  scm_sys_atanh): Return an exact result in some cases.

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

* NEWS: Add NEWS entry
2011-02-02 21:26:35 +01:00
Mark H Weaver
2e2743113a Fix min' and max' handling of NaNs, infinities, and signed zeroes
* libguile/numbers.c (scm_min, scm_max): Properly order the real
  infinities and NaNs, per R6RS, and also take care to handle signed
  zeroes properly.  Note that this ordering is different than that of
  `<', `>', `<=', and `>=', which return #f if any argument is a real
  NaN, and consider the real zeroes to be equal.  The relevant real
  infinity (-inf.0 for min, +inf.0 for max) beats everything, including
  NaNs, and NaNs beat everything else.  Previously these were handled
  improperly in some cases, e.g.:
  (min 1/2 +nan.0) now returns +nan.0 (previously returned 0.5),
  (max 1/2 +nan.0) now returns +nan.0 (previously returned 0.5),
  (min -inf.0 +nan.0) now returns -inf.0 (previously returned +nan.0),
  (max +inf.0 +nan.0) now returns +inf.0 (previously returned +nan.0),
  (min -0.0  0.0) now returns -0.0 (previously returned  0.0),
  (max  0.0 -0.0) now returns  0.0 (previously returned -0.0),
  (max  0   -0.0) now returns  0.0 (previously returned -0.0),
  (max -0.0  0  ) now returns  0.0 (previously returned -0.0).

* test-suite/tests/numbers.test (min, max): Add many more test cases
  relating to NaNs, infinities, and signed zeroes.  Change most existing
  test cases to use `eqv?' instead of `=', in order to check exactness.
2011-02-02 21:21:21 +01:00
Mark H Weaver
5e7918077a Handle products with exact 0 differently
* libguile/numbers.c (scm_product): Handle exact 0 differently.  A
  product containing an exact 0 now returns an exact 0 if and only if
  the other arguments are all exact.  An inexact zero is returned if and
  only if the other arguments are all finite but not all exact.  If an
  infinite or NaN value is present, a NaN value is returned.
  Previously, any product containing an exact 0 yielded an exact 0,
  regardless of the other arguments.

  A note on the rationale for (* 0 0.0) returning 0.0 and not exact 0:
  The exactness propagation rules allow us to return an exact result in
  the presence of inexact arguments only if the values of the inexact
  arguments do not affect the result.  In this case, the value of the
  inexact argument _does_ affect the result, because an infinite or NaN
  value causes the result to be a NaN.

  A note on the rationale for (* 0 +inf.0) being a NaN and not exact 0:
  The R6RS requires that (/ 0 0.0) return a NaN value, and that (/ 0.0)
  return +inf.0.  We would like (/ x y) to be the same as (* x (/ y)),
  and in particular, for (/ 0 0.0) to be the same as (* 0 (/ 0.0)),
  which reduces to (* 0 +inf.0).  Therefore (* 0 +inf.0) should return
  a NaN.

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

* NEWS: Add NEWS entry.
2011-02-01 21:11:12 +01:00
Mark H Weaver
55a8b70819 More discriminating NaN predicates for numbers.test
* test-suite/tests/numbers.test: (real-nan?, complex-nan?,
  imaginary-nan?): Add more discriminating NaN testing predicates
  internal to numbers.test, and convert several uses of `nan?'
  to use these instead:
   * `real-nan?' checks that its argument is real and a NaN.
   * `complex-nan?' checks that both the real and imaginary
                    parts of its argument are NaNs.
   * `imaginary-nan?' checks that its argument's real part
                      is zero and the imaginary part is a NaN.
2011-02-01 21:09:36 +01:00
Mark H Weaver
605f698026 Fix bugs in `rationalize'
* libguile/numbers.c (scm_rationalize): Fix bugs.  Previously, it
  returned exact integers unmodified, although that was incorrect if
  the epsilon was at least 1 or inexact, e.g. (rationalize 4 1) should
  return 3 per R5RS and R6RS, but previously it returned 4.  Also
  handle cases involving infinities and NaNs properly, per R6RS.

* test-suite/tests/numbers.test: Add test cases for `rationalize'.

* NEWS: Add NEWS entry
2011-02-01 21:08:52 +01:00
Mark H Weaver
bfe1f03aac Improve extensibility of expt' and integer-expt'
* libguile/numbers.c (scm_integer_expt): No longer require that the
  first argument be a number, in order to improve extensibility.  This
  allows us to efficiently raise arbitrary objects to an integer power
  as long as we can multiply those objects.  For example, this allows us
  to efficiently exponentiate matrices if we define only multiplication
  methods for matrices.  Note also that scm_expt calls this procedure
  whenever the exponent is an integer, regardless of the type of the
  first argument.  Also rearrange the order in which we test special
  cases.

* test-suite/tests/numbers.test (expt, integer-expt): Comment out tests
  that required `(expt #t 0)' and `(integer-expt #t 0)' to throw
  exceptions.  Add tests for (expt #t 2) and `(integer-expt #t 2)
  instead.

* NEWS: Add NEWS entry
2011-01-31 21:58:27 +01:00
Mark H Weaver
a8591a55f0 Rework the testing framework for number-theoretic division operators
* test-suite/tests/numbers.test (test-eqv?): Remove special handling of
  zeroes.  Zeroes are now compared like all other numbers.  Exact
  numbers are compared with `eqv?' and inexact numbers are compared to
  within test-epsilon.

  Rework the testing framework for number-theoretic division operators:
  `euclidean/', `euclidean-quotient', `euclidean-remainder',
  `centered/', `centered-quotient', and `centered-remainder'.
  Previously we compared all test results against a simple scheme
  implementation of the same operations.  However, these operations have
  discontinuous jumps where a tiny change in the inputs can lead to a
  large change in the outputs, e.g.:

    (euclidean/ 130.00000000000 10/7) ==> 91.0 and 0.0
    (euclidean/ 129.99999999999 10/7) ==> 90.0 and 1.42857142856141

  In the new testing scheme, we compare values against the simple
  implementations only if the input arguments contain an infinity or a
  NaN.  In the common case of two finite arguments, we simply make sure
  that the outputs of all three operators (e.g. `euclidean/',
  `euclidean-quotient', `euclidean-remainder') equal each other, that
  outputs are exact iff both inputs are exact, and that the required
  properties of the operator are met: that Q is an integer, that R is
  within the specified range, and that N = Q*D + R.
2011-01-31 09:51:02 +01:00
Mark H Weaver
2519490c50 Improve extensibility of core numeric procedures
* libguile/numbers.c (scm_quotient, scm_remainder, scm_modulo,
  scm_zero_p, scm_positive_p, scm_negative_p, scm_real_part,
  scm_imag_part, scm_numerator, scm_denominator, scm_magnitude,
  scm_angle, scm_exact_to_inexact): Change from SCM_GPROC to
  SCM_PRIMITIVE_GENERIC.  As a side effect, all of these procedures now
  have documentation strings.

  (scm_exact_p, scm_inexact_p, scm_odd_p, scm_even_p, scm_finite_p,
  scm_inf_p, scm_nan_p, scm_expt, scm_inexact_to_exact, scm_log,
  scm_log10, scm_exp, scm_sqrt): Change from SCM_DEFINE to
  SCM_PRIMITIVE_GENERIC, and make sure the code allows these functions
  to be extended in practice.

  (scm_real_part, scm_imag_part, scm_numerator, scm_denominator,
  scm_inexact_to_exact): Simplify type dispatch code.

  (scm_sqrt): Rename formal argument from x to z, since complex numbers
  are supported.

  (scm_abs): Fix empty FUNC_NAME.

* libguile/numbers.h (scm_finite_p): Add missing prototype.

  (scm_inf_p, scm_nan_p): Rename formal parameter from n to x, since
  the domain is the real numbers.

* test-suite/tests/numbers.test: Test for documentation strings.  Change
  from `expect-fail' to `pass-if' for several of these, and add tests
  for others.  Also add other tests for `real-part' and `imag-part',
  which previously had none.
2011-01-30 23:06:07 +01:00
Mark H Weaver
ff62c16828 Add two new sets of fast quotient and remainder operators
* libguile/numbers.c (scm_euclidean_quo_and_rem, scm_euclidean_quotient,
  scm_euclidean_remainder, scm_centered_quo_and_rem,
  scm_centered_quotient, scm_centered_remainder): New extensible
  procedures `euclidean/', `euclidean-quotient', `euclidean-remainder',
  `centered/', `centered-quotient', `centered-remainder'.

* libguile/numbers.h: Add function prototypes.

* module/rnrs/base.scm: Remove incorrect stub implementations of `div',
  `mod', `div-and-mod', `div0', `mod0', and `div0-and-mod0'.  Instead do
  renaming imports of `euclidean-quotient', `euclidean-remainder',
  `euclidean/', `centered-quotient', `centered-remainder', and
  `centered/', which are equivalent to the R6RS operators.

* module/rnrs/arithmetic/fixnums.scm (fxdiv, fxmod, fxdiv-and-mod,
  fxdiv0, fxmod0, fxdiv0-and-mod0): Remove redundant checks for division
  by zero and unnecessary complexity.
  (fx+/carry): Remove unneeded calls to `inexact->exact'.

* module/rnrs/arithmetic/flonums.scm (fldiv, flmod, fldiv-and-mod,
  fldiv0, flmod0, fldiv0-and-mod0): Remove redundant checks for division
  by zero and unnecessary complexity.  Remove unneeded calls to
  `inexact->exact' and `exact->inexact'

* test-suite/tests/numbers.test: (test-eqv?): New internal predicate for
  comparing numerical outputs with expected values.

  Add extensive test code for `euclidean/', `euclidean-quotient',
  `euclidean-remainder', `centered/', `centered-quotient',
  `centered-remainder'.

* test-suite/tests/r6rs-arithmetic-fixnums.test: Fix some broken test
  cases, and remove `unresolved' test markers for `fxdiv', `fxmod',
  `fxdiv-and-mod', `fxdiv0', `fxmod0', and `fxdiv0-and-mod0'.

* test-suite/tests/r6rs-arithmetic-flonums.test: Remove `unresolved'
  test markers for `fldiv', `flmod', `fldiv-and-mod', `fldiv0',
  `flmod0', and `fldiv0-and-mod0'.

* doc/ref/api-data.texi (Arithmetic): Document `euclidean/',
  `euclidean-quotient', `euclidean-remainder', `centered/',
  `centered-quotient', and `centered-remainder'.

  (Operations on Integer Values): Add cross-references to `euclidean/'
  et al, from `quotient', `remainder', and `modulo'.

* doc/ref/r6rs.texi (rnrs base): Improve documentation for `div', `mod',
  `div-and-mod', `div0', `mod0', and `div0-and-mod0'.  Add
  cross-references to `euclidean/' et al.

* NEWS: Add NEWS entry.
2011-01-30 23:00:38 +01:00
Mark H Weaver
c960e55600 Infinities and NaNs are no longer rational
* libguile/numbers.c (scm_rational_p): Return #f for infinities and
  NaNs, per R6RS.  Previously it returned #t for real infinities
  and NaNs.  They are still considered real by scm_real `real?'
  however, per R6RS.  Also simplify the code.

  (scm_real_p): New implementation to reflect the fact that the
  rationals and reals are no longer the same set.  Previously it just
  called scm_rational_p.

  (scm_integer_p): Simplify the code.

* test-suite/tests/numbers.test: Add test cases for `rational?'
  and `real?' applied to infinities and NaNs.

* doc/ref/api-data.texi (Real and Rational Numbers): Update docs to
  reflect the fact that infinities and NaNs are no longer rational, and
  that `real?'  no longer implies `rational?'.  Improve discussion of
  infinities and NaNs.

* NEWS: Add NEWS entries, and combine with an earlier entry about
  infinities no longer being integers.
2011-01-30 13:08:53 +01:00
Mark H Weaver
2e6e1933b4 equal?' and eqv?' are now equivalent for numbers
Change `equal?' to work like `eqv?' for numbers.
Previously they worked differently in some cases, e.g.
when comparing signed zeroes or NaNs.  For example,
(equal? 0.0 -0.0) returned #t but (eqv? 0.0 -0.0)
returned #f, and (equal? +nan.0 +nan.0) returned #f
but (eqv? +nan.0 +nan.0) returned #t.

* libguile/numbers.c (scm_real_equalp, scm_bigequal,
  scm_complex_equalp, scm_i_fraction_equalp): Move to eq.c.

* libguile/eq.c (scm_real_equalp): Compare flonums using
  real_eqv instead of ==, so that NaNs are now considered
  equal, and to distinguish signed zeroes.

  (scm_complex_equalp): Compare real and imaginary
  components using real_eqv instead of ==, so that NaNs are
  now considered equal, and to distinguish signed zeroes.

  (scm_bigequal): Use scm_i_bigcmp instead of duplicating it.

  (real_eqv): Test for NaNs using isnan(x) instead of
  (x != x), and use SCM_UNLIKELY for optimization.

  (scm_eqv_p): Use scm_bigequal, scm_real_equalp,
  scm_complex_equalp, and scm_i_fraction_equalp to compare
  numbers, instead of inline code.  Those predicates now do
  what scm_eqv_p formerly did internally.  Replace if
  statements with switch statements, as is done in
  scm_equal_p.  Remove useless code to check equality of
  fractions with different SCM_CELL_TYPEs; this was for a
  tentative "lazy reduction bit" which was never developed.

  (scm_eqv_p, scm_equal_p): Remove useless code to check
  equality between inexact reals and non-real complex numbers
  with zero imaginary part.  Such numbers do not exist,
  because the current code is careful to never create them.

* test-suite/tests/numbers.test: Add test cases for
  `eqv?' and `equal?'.  Change existing test case for
  `(equal? +nan.0 +nan.0)' to expect #t instead of #f.

* NEWS: Add NEWS entries.
2011-01-30 13:08:47 +01:00
Mark H Weaver
c9cf90d474 Remove useless test and fix spelling errors
* test-suite/tests/numbers.test: Remove test for lazy reduction bit of
  fractions, which was never implemented.  Fix some spelling errors.
2011-01-30 13:02:14 +01:00
Mark H Weaver
b5c40589ec Fix bugs when negating SCM_MOST_POSITIVE_FIXNUM+1
* libguile/numbers.c (scm_difference, scm_product):
  Fix bugs when negating SCM_MOST_POSITIVE_FIXNUM+1,
  aka -SCM_MOST_NEGATIVE_FIXNUM.  Previously, these cases
  failed to normalize the result to a fixnum, causing
  `=', `eqv?' and `equal?' to fail, e.g.:
  (= most-negative-fixnum (- 0 (- most-negative-fixnum)))
  (= most-negative-fixnum (* -1 (- most-negative-fixnum)))
  (= most-negative-fixnum (* (- most-negative-fixnum) -1))

* test-suite/test/numbers.test: Add test cases to detect
  bugs when negating SCM_MOST_POSITIVE_FIXNUM+1 and
  SCM_MOST_NEGATIVE_FIXNUM by various methods.
2011-01-28 13:52:46 +01:00
Andy Wingo
10391e06e0 domain of inf?, finite?, nan? is the real numbers
* libguile/numbers.c (scm_inf_p, scm_finite_p, scm_nan_p): The domain of
  these functions is the real numbers.  Error on other input.

* doc/ref/api-data.texi (Reals and Rationals): Update the documentation
  accordingly.

* test-suite/tests/numbers.test ("finite?", "inf?"): Update tests.
2011-01-28 13:43:37 +01:00
Mark H Weaver
41df63cf16 Optimize scm_exact_p by making use of SCM_INEXACTP
* libguile/numbers.c (scm_exact_p): Optimize by making use of the
  SCM_INEXACTP macro.
  (scm_inexact_p): Move it next to scm_exact_p, and add else's.

* test-suite/tests/numbers.test: Add test cases for `exact?'
  and `inexact?' applied to infinities and NaNs.
2011-01-28 12:24:24 +01:00
Mark H Weaver
7112615f73 Implement finite?' in core and fix R6RS finite?' and `infinite?'
* libguile/numbers.c (scm_finite_p): Add new predicate `finite?' from
  R6RS to guile core, which returns #t if and only if its argument is
  neither infinite nor a NaN.  Note that this is not the same as (not
  (inf? x)) or (not (infinite? x)), since NaNs are neither finite nor
  infinite.

* test-suite/tests/numbers.test: Add test cases for `finite?'.

* module/rnrs/base.scm: Import `inf?' as `infinite?' instead of
  reimplementing it.  Previously, the R6RS implementation of
  `infinite?' did not detect non-real complex infinities, nor did it
  throw exceptions for non-numbers.  (Note that NaNs _are_ considered
  numbers by scheme, despite their name).

  Import `finite?' instead of reimplementing it.  Previously, the R6RS
  implementation of `finite?' returned #t for both NaNs and non-real
  complex infinities, in violation of R6RS.

* NEWS: Add NEWS entries, and reorganize existing numerics-related
  entries together under one subheading.

* doc/ref/api-data.texi (Real and Rational Numbers): Add docs for
  `finite?' and scm_finite_p.
2011-01-28 12:21:14 +01:00
Andy Wingo
8e43ed5d0b infinities are no longer integers
* libguile/numbers.c (scm_is_integer): Infinities are not integers, per
  the R6RS.
  (scm_even_p, scm_odd_p): Passing an infinity to even? or odd? is an
  error.

* test-suite/tests/numbers.test ("integer?"): Adapt test.
  ("expt"): Add tests for +inf.0 and -inf.0 exponents.

* NEWS: Add NEWS entries.
2011-01-23 00:06:24 +01:00
Mark H Weaver
01c7284ae5 Fix bugs in expt and integer-expt
* libguile/numbers.c (scm_expt): Fix bug that caused expt to throw an
  exception whenever the base was exact and the exponent was an
  inexact integer, e.g. (expt 5 6.0).

  (scm_expt): Fix bug that caused expt to introduce spurious imaginary
  parts in the result when the base was an inexact negative real and
  the exponent was an integer, e.g. (expt -1.0 2)

  (scm_integer_expt, scm_expt): Change behavior of (integer-expt 0 -1),
  and therefore also (expt 0 -1), to return NaN, per R6RS (actually,
  R6RS says we should throw an exception or return an "unspecified
  number object", but for now we use NaN).  Formerly we returned 0, per
  R5RS. R5RS claims that 0^x=0 for all non-zero x, but that's
  mathematically incorrect, and probably an oversight.

  (scm_integer_expt): Consistently throw a wrong-argument-type exception
  when the exponent is inexact.  Formerly, it didn't always check this
  if the base was 0, 1, or -1.

* test-suite/tests/numbers.test ("integer-expt", "expt"): Add tests.
2011-01-20 23:28:37 +01:00
Ludovic Courtès
0c57673a11 Add optimized tagged integer addition/subtractions for x86_64.
This results in a 17% improvement in the execution time of the "+" and
"-" benchmarks for fixnums.

* libguile/vm-i-scheme.c (ASM_ADD, ASM_SUB)[defined __x86_64__ &&
  SCM_GNUC_PREREQ (4, 5)]: New macros.
  (add)[defined ASM_ADD]: Use `ASM_ADD' for the fast path.
  (sub)[defined ASM_SUB]: Use `ASM_SUB' for the fast path.

* test-suite/tests/numbers.test ("+")["fixnum + fixnum = bignum
  (32-bit)", "fixnum + fixnum = bignum (64-bit)", "bignum + fixnum =
  fixnum", "wrong type"]: New tests.
  ("-")["fixnum - fixnum = bignum (32-bit)", "fixnum - fixnum = bignum
  (64-bit)", "bignum - fixnum = fixnum", "wrong type"]: New tests.

* test-suite/tests/00-initial-env.test ("goopsless")["+ wrong type
  argument"]: Use `with-test-prefix/c&e' instead of `with-test-prefix'.
  ["- wrong type argument"]: New test prefix.
2010-11-19 13:34:43 +01:00
Ludovic Courtès
f13f1e9f6f Use the with-test-prefix/c&e' for the 1+' and `1-' tests.
* test-suite/tests/numbers.test ("1+"): Use `with-test-prefix/c&e'
  instead of `with-test-prefix'.  Provide a name to each `pass-if'
  invocation.
  ("1-"): Likewise.
2010-11-19 13:34:43 +01:00
Andy Wingo
3740c788ac numbers.test expects lower-case hexadecimals
* test-suite/tests/numbers.test ("number->string"): Expect lower-case
  hexidecimals.
2010-11-18 16:06:46 +01:00
Andy Wingo
a6f3af1618 fix string->number for bases > 16
* libguile/numbers.c (scm_iuint2str): Add an assertion on the domain of
  the radix. Use the number_chars table to write the string, instead of
  doing strange math. Same effect, though.
  (mem2uinteger, char_decimal_value): Change logic to allow all ascii
  alphabetic chars as decimals, not just a-f. Thanks to Nils Gey for the
  report.

* test-suite/tests/numbers.test ("number->string"): Add some tests.
2010-11-15 23:43:30 +01:00
Ludovic Courtès
e78d4bf9a9 Optimize 1+' and 1-' on fixnums.
* libguile/vm-i-scheme.c (INUM_MAX, INUM_MIN): New macros.
  (add1, sub1): Add/subtract without untagging the operand.  This leads
  to a 44% run time improvement compared to the previous
  implementation.

* libguile/vm.c: Include <stdint.h>.

* test-suite/tests/numbers.test ("1+", "1-"): Add tests for
  MOST-POSITIVE-FIXNUM, resp. MOST-NEGATIVE-FIXNUM, for 32-bit and
  34-bit values thereof.

* benchmark-suite/benchmarks/arithmetic.bm: New file.

* benchmark-suite/Makefile.am (SCM_BENCHMARKS): Add it.
2010-10-13 01:31:19 +02:00
Andy Wingo
5a8fc758b0 expt / integer-expt fixes
* libguile/numbers.c (scm_integer_expt): Validate the first arg as a
  number.
  (scm_expt): Delegate to scm_integer_expt iff x is exact. Fixes
  fractions.test, which I broke recently

* test-suite/tests/numbers.test ("integer-expt"): Add test for
  (integer-expt #t 0).
2010-06-10 18:14:02 +02:00
Andy Wingo
a4082ab57e fix (expt #t 0)
* libguile/numbers.c (scm_expt): Fix check regarding when to dispatch to
  integer-expt.

* test-suite/tests/numbers.test ("expt"): Add test.
2010-06-07 23:27:55 +02:00
Ludovic Courtès
cedf24d8bd Add separate test file for GOOPS-less tests.
* test-suite/tests/00-initial-env.test: New file.

* test-suite/Makefile.am (SCM_TESTS): Add `tests/00-initial-env.test'.

* test-suite/tests/numbers.test ("+")["wrong type argument"]: Move to
  `00-initial-env.test'.
2010-03-31 11:38:02 +02:00
Andy Wingo
8a1f4f98e1 remove rpsubrs
* libguile/tags.h: Remove rpsubrs (I chose to interpret the terse name
  as "recursive predicate subrs"). Just use gsubrs with rest arguments,
  or do a fold yourself.

* libguile/array-map.c (scm_i_array_equal_p): Do the comparison in
  order, why not.

* libguile/chars.c:
* libguile/eq.c:
* libguile/numbers.c:
* libguile/strorder.c: Add 0,2,1 gsubr wrappers for rpsubrs like eq?, <,
  etc.

* libguile/goops.c (scm_class_of)
* libguile/procprop.c (scm_i_procedure_arity)
* libguile/procs.c (scm_thunk_p)
* libguile/vm.c (apply_foreign): Remove rpsubr cases.

* test-suite/tests/numbers.test ("=", "<"): Turn a couple xfails into
  passes.
2009-12-04 13:05:00 +01:00
Andy Wingo
d389e9661a +, -, min, lcm, gcd now documented
* test-suite/tests/numbers.test: Change some xfail documented? tests to
  passes.
2009-12-03 15:33:09 +01:00
Ludovic Courtès
d6a6989e08 Replace setbinary' by a public %default-port-encoding' fluid.
* doc/ref/api-evaluation.texi (Character Encoding of Source Files): Add
  reference to the "Ports" node.

* doc/ref/api-io.texi (Ports): Document `%default-port-encoding'.

* libguile/ports.c (scm_port_encoding_var): Rename to...
  (default_port_encoding_var): ... this; update callers.  Make `static'.

* libguile/posix.c (scm_setbinary): Remove.

* libguile/posix.h: Adjust accordingly.

* test-suite/tests/numbers.test: Remove unneeded `setbinary' call.

* test-suite/tests/ports.test: Replace `setbinary' call by equivalent
  `%default-port-encoding' mutation and `set-port-encoding!' calls.

* test-suite/tests/r6rs-ports.test: Replace `setbinary' call by
  equivalent `%default-port-encoding' mutation.
2009-11-14 16:59:25 +01:00
Michael Gran
889975e51a Add full Unicode capability to ports and the default reader
Ports are given two additional properties: a character encoding and
a conversion failure strategy.  These properties have getters and setters.
The new properties are used to convert any locale text to/from the
internal representation of strings.

If unspecified, ports use a default value. The default value of these
properties is held in a fluid.  The default character encoding can be
modified by calling setlocale.

ISO-8859-1 is treated specially.  Since it is a native encoding of
strings, it can be processed more quickly.  Source code is assumed to be
ISO-8859-1 unless otherwise specified.  The encoding of a source code
file can be given as 'coding: XXXXX' in a magic comment at the top of a
file.

The C functions that deal with encoding often use a null pointer
as shorthand for the native Latin-1 encoding, for efficiency's sake.

* test-suite/tests/encoding-iso88591.test: new tests
* test-suite/tests/encoding-iso88597.test: new tests
* test-suite/tests/encoding-utf8.test: new tests
* test-suite/tests/encoding-escapes.test: new tests
* test-suite/tests/numbers.test: declare 'binary' encoding
* test-suite/tests/ports.test: declare 'binary' encoding
* test-suite/tests/r6rs-ports.test: declare 'binary' encoding

* module/system/base/compile.scm (compile-file): use source-code
  file's self-declared encoding when compiling files

* libguile/strports.c: store string ports in locale encoding
  (scm_strport_to_locale_u8vector, scm_call_with_output_locale_u8vector)
  (scm_open_input_locale_u8vector, scm_get_output_locale_u8vector):
  new functions

* libguile/strings.h: new declaration for scm_i_string_contains_char

* libguile/strings.c (scm_i_string_contains_char): new function
  (scm_from_stringn, scm_to_stringn):  use NULL for Latin-1
  (scm_from_locale_stringn, scm_to_locale_stringn): respect character
  encoding of input and output ports

* libguile/read.h: declaration for scm_scan_for_encoding

* libguile/read.c:
  (read_token): now takes scheme string instead of C string/length
  (read_complete_token): new function
  (scm_read_sexp, scm_read_number, scm_read_mixed_case_symbol)
  (scm_read_number_and_radix, scm_read_quote, scm_read_semicolon_comment)
  (scm_read_srfi4_vector, scm_read_bytevector, scm_read_guile_bit_vector)
  (scm_read_scsh_block_comment, scm_read_commented_expression)
  (scm_read_extended_symbol, scm_read_sharp_extension, scm_read_shart)
  (scm_read_expression): use scm_t_wchar for char type, use read_complete_token
  (scm_scan_for_encoding): new function to find a file's character encoding
  (scm_file_encoding): new function to find a port's character encoding

* libguile/rdelim.c: don't unpack strings

* libguile/print.h: declaration for modified function
  scm_i_charprint

* libguile/print.c: use locale when printing characters and
  strings
  (scm_i_charprint): input parameter is now scm_t_wchar
  (scm_simple_format): don't unpack strings

* libguile/posix.h: new declaration for scm_setbinary.

* libguile/posix.c (scm_setlocale): set default and stdio port
  encodings based on the locale's character encoding
  (scm_setbinary): new function

* libguile/ports.h (scm_t_port): add encoding and failed
  conversion handler to port type.  Declarations for new or modified
  functions scm_getc, scm_unget_byte, scm_ungetc,
  scm_i_get_port_encoding, scm_i_set_port_encoding_x,
  scm_port_encoding, scm_set_port_encoding_x,
  scm_i_get_conversion_strategy, scm_i_set_conversion_strategy_x,
  scm_port_conversion_strategy, scm_set_port_conversion_strategy_x.

* libguile/ports.c: assign the current ports to zero on startup so
  we can see if they've been set.
  (scm_current_input_port, scm_current_output_port,
  scm_current_error_port): return #f if the port is not yet
  initialized
  (scm_new_port_table_entry): set up a new port's encoding and
  illegal sequence handler based on the thread's current defaults
  (scm_i_remove_port): free port encoding name when port is removed
  (scm_i_mode_bits_n): now takes a scheme string instead of a c
  string and length.  All callers changed.
  (SCM_MBCHAR_BUF_SIZE): new const
  (scm_getc): new function, since the scm_getc in inline.h is now
  scm_get_byte_or_eof.  This pulls one codepoint from a port.
  (scm_lfwrite_substr, scm_lfwrite_str): now uses port's encoding
  (scm_unget_byte): new function, incorportaing the low-level functionality
  of scm_ungetc
  (scm_ungetc): uses scm_unget_byte

* libguile/numbers.h (scm_t_wchar): compilation order problem with
  scm_t_wchar being use in functions in multiple headers.  Forward
  declare scm_t_wchar.

* libguile/load.c (scm_primitive_load): scan for file encoding at
  top of file and use it to set the load port's encoding

* libguile/inline.h (scm_get_byte_or_eof): new function
  incorporating most of the functionality of scm_getc.

* libguile/fports.c (fport_fill_input): now returns scm_t_wchar

* libguile/chars.h (scm_t_wchar): avoid compilation order problem
  with declaration of scm_t_wchar
2009-08-25 07:54:37 -07:00
Neil Jerram
40f892156a Read complex numbers where both parts are inexact decimals
Thanks to Bill Schottstaedt for reporting this problem!

* libguile/numbers.c (mem2ureal): Don't be misled by *p_exactness
  being INEXACT on entry (as is possible when reading a complex
  number): use local exactness variable x which starts as EXACT.
  Call mem2decimal_from_point () with &x instead of p_exactness.

* test-suite/tests/numbers.test ("string->number"): Add complex number
  tests suggested by Bill.
2009-07-01 19:43:55 +01:00
Neil Jerram
53befeb700 Change Guile license to LGPLv3+
(Not quite finished, the following will be done tomorrow.
   module/srfi/*.scm
   module/rnrs/*.scm
   module/scripts/*.scm
   testsuite/*.scm
   guile-readline/*
)
2009-06-17 00:22:09 +01:00
Neil Jerram
1dd797921c Fix for incorrect (gcd -2) => -2; should give 2.
(reported by Bill Schottstaedt)

* libguile/numbers.c (scm_gcd): When only one arg given, use scm_abs
  to ensure that result is non-negative.

* test-suite/tests/numbers.test ("gcd"): New test, (gcd -2).
2008-09-22 21:21:20 +01:00
Kevin Ryde
23d7256628 merge from 1.8 2007-01-15 23:42:45 +00:00
Han-Wen Nienhuys
c6a576f766 ("equal?"): add case for reduction of
rational numbers.
2006-12-24 01:05:56 +00:00
Kevin Ryde
8ab3d8a068 merge from 1.8 branch 2006-10-09 23:40:48 +00:00
Kevin Ryde
23f2b9a3de merge from 1.8 branch 2006-06-17 23:15:59 +00:00
Kevin Ryde
6e7d5622ee merge from 1.8 branch 2006-04-16 23:37:40 +00:00
Marius Vollmer
92205699d0 The FSF has a new address. 2005-05-23 19:57:22 +00:00