#include <stdio.h>
#include <math.h>
-#include "_scm.h"
-#include "unif.h"
-#include "feature.h"
-#include "ports.h"
-#include "root.h"
-#include "smob.h"
-#include "strings.h"
-#include "vectors.h"
-
-#include "validate.h"
-#include "numbers.h"
+#include "libguile/_scm.h"
+#include "libguile/feature.h"
+#include "libguile/ports.h"
+#include "libguile/root.h"
+#include "libguile/smob.h"
+#include "libguile/strings.h"
+
+#include "libguile/validate.h"
+#include "libguile/numbers.h"
+
\f
+
+static SCM scm_divbigbig (SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn, int modes);
+static SCM scm_divbigint (SCM x, long z, int sgn, int mode);
+
+
#define DIGITS '0':case '1':case '2':case '3':case '4':\
case '5':case '6':case '7':case '8':case '9'
+#define SCM_SWAP(x,y) do { SCM __t = x; x = y; y = __t; } while (0)
+
+
+#if (SCM_DEBUG_DEPRECATED == 1) /* not defined in header yet? */
+
+/* SCM_FLOBUFLEN is the maximum number of characters neccessary for the
+ * printed or scm_string representation of an inexact number.
+ */
+#define SCM_FLOBUFLEN (10+2*(sizeof(double)/sizeof(char)*SCM_CHAR_BIT*3+9)/10)
+
+#endif /* SCM_DEBUG_DEPRECATED == 1 */
+
+
/* IS_INF tests its floating point number for infiniteness
+ Dirk:FIXME:: This test does not work if x == 0
*/
#ifndef IS_INF
#define IS_INF(x) ((x) == (x) / 2)
#endif
+
/* Return true if X is not infinite and is not a NaN
+ Dirk:FIXME:: Since IS_INF is broken, this test does not work if x == 0
*/
#ifndef isfinite
#define isfinite(x) (!IS_INF (x) && (x) == (x))
\f
+static SCM abs_most_negative_fixnum;
+
+\f
+
SCM_DEFINE (scm_exact_p, "exact?", 1, 0, 0,
(SCM x),
- "")
+ "Return @code{#t} if @var{x} is an exact number, @code{#f}\n"
+ "otherwise.")
#define FUNC_NAME s_scm_exact_p
{
- if (SCM_INUMP (x))
+ if (SCM_INUMP (x)) {
return SCM_BOOL_T;
-#ifdef SCM_BIGDIG
- if (SCM_BIGP (x))
+ } else if (SCM_BIGP (x)) {
return SCM_BOOL_T;
-#endif
- return SCM_BOOL_F;
+ } else {
+ return SCM_BOOL_F;
+ }
}
#undef FUNC_NAME
+
SCM_DEFINE (scm_odd_p, "odd?", 1, 0, 0,
(SCM n),
- "")
+ "Return @code{#t} if @var{n} is an odd number, @code{#f}\n"
+ "otherwise.")
#define FUNC_NAME s_scm_odd_p
{
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (n))
- {
- SCM_VALIDATE_BIGINT (1,n);
- return SCM_BOOL(1 & SCM_BDIGITS (n)[0]);
- }
-#else
- SCM_VALIDATE_INUM (1,n);
-#endif
- return SCM_BOOL(4 & SCM_UNPACK (n));
+ if (SCM_INUMP (n)) {
+ return SCM_BOOL ((4 & SCM_UNPACK (n)) != 0);
+ } else if (SCM_BIGP (n)) {
+ return SCM_BOOL ((1 & SCM_BDIGITS (n) [0]) != 0);
+ } else {
+ SCM_WRONG_TYPE_ARG (1, n);
+ }
}
#undef FUNC_NAME
+
SCM_DEFINE (scm_even_p, "even?", 1, 0, 0,
(SCM n),
- "")
+ "Return @code{#t} if @var{n} is an even number, @code{#f}\n"
+ "otherwise.")
#define FUNC_NAME s_scm_even_p
{
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (n))
- {
- SCM_VALIDATE_BIGINT (1,n);
- return SCM_NEGATE_BOOL(1 & SCM_BDIGITS (n)[0]);
- }
-#else
- SCM_VALIDATE_INUM (1,n);
-#endif
- return SCM_NEGATE_BOOL(4 & SCM_UNPACK (n));
+ if (SCM_INUMP (n)) {
+ return SCM_BOOL ((4 & SCM_UNPACK (n)) == 0);
+ } else if (SCM_BIGP (n)) {
+ return SCM_BOOL ((1 & SCM_BDIGITS (n) [0]) == 0);
+ } else {
+ SCM_WRONG_TYPE_ARG (1, n);
+ }
}
#undef FUNC_NAME
-SCM_GPROC (s_abs, "abs", 1, 0, 0, scm_abs, g_abs);
+SCM_GPROC (s_abs, "abs", 1, 0, 0, scm_abs, g_abs);
+/* "Return the absolute value of @var{x}."
+ */
SCM
scm_abs (SCM x)
{
- long int cx;
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (x))
- {
- SCM_GASSERT1 (SCM_BIGP (x), g_abs, x, SCM_ARG1, s_abs);
- if (!SCM_BIGSIGN (x))
- return x;
- return scm_copybig (x, 0);
- }
-#else
- SCM_GASSERT1 (SCM_INUMP (x), g_abs, x, SCM_ARG1, s_abs);
-#endif
- if (SCM_INUM (x) >= 0)
- return x;
- cx = - SCM_INUM (x);
- if (!SCM_POSFIXABLE (cx))
+ if (SCM_INUMP (x)) {
+ long int xx = SCM_INUM (x);
+ if (xx >= 0) {
+ return x;
+ } else if (SCM_POSFIXABLE (-xx)) {
+ return SCM_MAKINUM (-xx);
+ } else {
#ifdef SCM_BIGDIG
- return scm_long2big (cx);
+ return scm_long2big (-xx);
#else
scm_num_overflow (s_abs);
#endif
- return SCM_MAKINUM (cx);
+ }
+ } else if (SCM_BIGP (x)) {
+ if (!SCM_BIGSIGN (x)) {
+ return x;
+ } else {
+ return scm_copybig (x, 0);
+ }
+ } else if (SCM_REALP (x)) {
+ return scm_make_real (fabs (SCM_REAL_VALUE (x)));
+ } else {
+ SCM_WTA_DISPATCH_1 (g_abs, x, 1, s_abs);
+ }
}
-SCM_GPROC (s_quotient, "quotient", 2, 0, 0, scm_quotient, g_quotient);
+SCM_GPROC (s_quotient, "quotient", 2, 0, 0, scm_quotient, g_quotient);
+/* "Return the quotient of the numbers @var{x} and @var{y}."
+ */
SCM
scm_quotient (SCM x, SCM y)
{
scm_num_overflow (s_quotient);
} else {
long z = xx / yy;
-#ifdef BADIVSGNS
- {
-#if (__TURBOC__ == 1)
- long t = ((yy < 0) ? -xx : xx) % yy;
-#else
- long t = xx % yy;
-#endif
- if ((t < 0) && (xx > 0))
- z--;
- else if ((t > 0) && (xx < 0))
- z++;
- }
-#endif
- if (!SCM_FIXABLE (z)) {
+ if (SCM_FIXABLE (z)) {
+ return SCM_MAKINUM (z);
+ } else {
#ifdef SCM_BIGDIG
return scm_long2big (z);
#else
scm_num_overflow (s_quotient);
#endif
- } else {
- return SCM_MAKINUM (z);
}
}
+ } else if (SCM_BIGP (y)) {
+ if (SCM_INUM (x) == SCM_MOST_NEGATIVE_FIXNUM
+ && scm_bigcomp (abs_most_negative_fixnum, y) == 0)
+ {
+ /* Special case: x == fixnum-min && y == abs (fixnum-min) */
+ return SCM_MAKINUM (-1);
+ }
+ else
+ return SCM_MAKINUM (0);
} else {
-#ifdef SCM_BIGDIG
- if (!SCM_BIGP (y)) {
- SCM_WTA_DISPATCH_2 (g_quotient, x, y, SCM_ARG2, s_quotient);
- } else {
- return SCM_INUM0;
- }
-#else
SCM_WTA_DISPATCH_2 (g_quotient, x, y, SCM_ARG2, s_quotient);
-#endif
}
- } else {
-#ifdef SCM_BIGDIG
- SCM_GASSERT2 (SCM_BIGP (x), g_quotient, x, y, SCM_ARG1, s_quotient);
- if (SCM_NINUMP (y)) {
- if (!SCM_BIGP (y)) {
- SCM_WTA_DISPATCH_2 (g_quotient, x, y, SCM_ARG2, s_quotient);
- } else {
- return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
- SCM_BDIGITS (y), SCM_NUMDIGS (y),
- SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y), 2);
- }
- } else {
+ } else if (SCM_BIGP (x)) {
+ if (SCM_INUMP (y)) {
long yy = SCM_INUM (y);
if (yy == 0) {
scm_num_overflow (s_quotient);
#endif
}
}
+ } else if (SCM_BIGP (y)) {
+ return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
+ SCM_BDIGITS (y), SCM_NUMDIGS (y),
+ SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y), 2);
+ } else {
+ SCM_WTA_DISPATCH_2 (g_quotient, x, y, SCM_ARG2, s_quotient);
}
-#else
- SCM_WTA_DISPATCH_2 (g_quotient, x, y, SCM_ARG2, s_quotient);
-#endif
+ } else {
+ SCM_WTA_DISPATCH_2 (g_quotient, x, y, SCM_ARG1, s_quotient);
}
}
-SCM_GPROC (s_remainder, "remainder", 2, 0, 0, scm_remainder, g_remainder);
+SCM_GPROC (s_remainder, "remainder", 2, 0, 0, scm_remainder, g_remainder);
+/* "Return the remainder of the numbers @var{x} and @var{y}.\n"
+ * "@lisp\n"
+ * "(remainder 13 4) @result{} 1\n"
+ * "(remainder -13 4) @result{} -1\n"
+ * "@end lisp"
+ */
SCM
scm_remainder (SCM x, SCM y)
{
- register long z;
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (x))
- {
- SCM_GASSERT2 (SCM_BIGP (x),
- g_remainder, x, y, SCM_ARG1, s_remainder);
- if (SCM_NINUMP (y))
- {
- SCM_ASRTGO (SCM_BIGP (y), bady);
- return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
- SCM_BDIGITS (y), SCM_NUMDIGS (y),
- SCM_BIGSIGN (x), 0);
- }
- if (!(z = SCM_INUM (y)))
- goto ov;
- return scm_divbigint (x, z, SCM_BIGSIGN (x), 0);
- }
- if (SCM_NINUMP (y))
- {
- if (!SCM_BIGP (y))
+ if (SCM_INUMP (x)) {
+ if (SCM_INUMP (y)) {
+ long yy = SCM_INUM (y);
+ if (yy == 0) {
+ scm_num_overflow (s_remainder);
+ } else {
+ long z = SCM_INUM (x) % yy;
+ return SCM_MAKINUM (z);
+ }
+ } else if (SCM_BIGP (y)) {
+ if (SCM_INUM (x) == SCM_MOST_NEGATIVE_FIXNUM
+ && scm_bigcomp (abs_most_negative_fixnum, y) == 0)
{
- bady:
- SCM_WTA_DISPATCH_2 (g_remainder, x, y, SCM_ARG2, s_remainder);
+ /* Special case: x == fixnum-min && y == abs (fixnum-min) */
+ return SCM_MAKINUM (0);
}
- return x;
+ else
+ return x;
+ } else {
+ SCM_WTA_DISPATCH_2 (g_remainder, x, y, SCM_ARG2, s_remainder);
}
-#else
- SCM_GASSERT2 (SCM_INUMP (x), g_remainder, x, y, SCM_ARG1, s_remainder);
- SCM_GASSERT2 (SCM_INUMP (y), g_remainder, x, y, SCM_ARG2, s_remainder);
-#endif
- if (!(z = SCM_INUM (y)))
- {
- ov:
- scm_num_overflow (s_remainder);
+ } else if (SCM_BIGP (x)) {
+ if (SCM_INUMP (y)) {
+ long yy = SCM_INUM (y);
+ if (yy == 0) {
+ scm_num_overflow (s_remainder);
+ } else {
+ return scm_divbigint (x, yy, SCM_BIGSIGN (x), 0);
+ }
+ } else if (SCM_BIGP (y)) {
+ return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
+ SCM_BDIGITS (y), SCM_NUMDIGS (y),
+ SCM_BIGSIGN (x), 0);
+ } else {
+ SCM_WTA_DISPATCH_2 (g_remainder, x, y, SCM_ARG2, s_remainder);
}
-#if (__TURBOC__ == 1)
- if (z < 0)
- z = -z;
-#endif
- z = SCM_INUM (x) % z;
-#ifdef BADIVSGNS
- if (!z);
- else if (z < 0)
- if (x < 0);
- else
- z += SCM_INUM (y);
- else if (x < 0)
- z -= SCM_INUM (y);
-#endif
- return SCM_MAKINUM (z);
+ } else {
+ SCM_WTA_DISPATCH_2 (g_remainder, x, y, SCM_ARG1, s_remainder);
+ }
}
-SCM_GPROC (s_modulo, "modulo", 2, 0, 0, scm_modulo, g_modulo);
+SCM_GPROC (s_modulo, "modulo", 2, 0, 0, scm_modulo, g_modulo);
+/* "Return the modulo of the numbers @var{x} and @var{y}.\n"
+ * "@lisp\n"
+ * "(modulo 13 4) @result{} 1\n"
+ * "(modulo -13 4) @result{} 3\n"
+ * "@end lisp"
+ */
SCM
scm_modulo (SCM x, SCM y)
{
if (yy == 0) {
scm_num_overflow (s_modulo);
} else {
-#if (__TURBOC__ == 1)
- long z = ((yy < 0) ? -xx : xx) % yy;
-#else
long z = xx % yy;
-#endif
return SCM_MAKINUM (((yy < 0) ? (z > 0) : (z < 0)) ? z + yy : z);
}
+ } else if (SCM_BIGP (y)) {
+ return (SCM_BIGSIGN (y) ? (xx > 0) : (xx < 0)) ? scm_sum (x, y) : x;
} else {
-#ifdef SCM_BIGDIG
- if (!SCM_BIGP (y)) {
- SCM_WTA_DISPATCH_2 (g_modulo, x, y, SCM_ARG2, s_modulo);
- } else {
- return (SCM_BIGSIGN (y) ? (xx > 0) : (xx < 0)) ? scm_sum (x, y) : x;
- }
-#else
SCM_WTA_DISPATCH_2 (g_modulo, x, y, SCM_ARG2, s_modulo);
-#endif
}
- } else {
-#ifdef SCM_BIGDIG
- SCM_GASSERT2 (SCM_BIGP (x), g_modulo, x, y, SCM_ARG1, s_modulo);
- if (SCM_NINUMP (y)) {
- if (!SCM_BIGP (y)) {
- SCM_WTA_DISPATCH_2 (g_modulo, x, y, SCM_ARG2, s_modulo);
- } else {
- return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
- SCM_BDIGITS (y), SCM_NUMDIGS (y),
- SCM_BIGSIGN (y),
- (SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y)) ? 1 : 0);
- }
- } else {
+ } else if (SCM_BIGP (x)) {
+ if (SCM_INUMP (y)) {
long yy = SCM_INUM (y);
if (yy == 0) {
scm_num_overflow (s_modulo);
return scm_divbigint (x, yy, yy < 0,
(SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0)) ? 1 : 0);
}
+ } else if (SCM_BIGP (y)) {
+ return scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
+ SCM_BDIGITS (y), SCM_NUMDIGS (y),
+ SCM_BIGSIGN (y),
+ (SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y)) ? 1 : 0);
+ } else {
+ SCM_WTA_DISPATCH_2 (g_modulo, x, y, SCM_ARG2, s_modulo);
}
-#else
- SCM_WTA_DISPATCH_2 (g_modulo, x, y, SCM_ARG2, s_modulo);
-#endif
+ } else {
+ SCM_WTA_DISPATCH_2 (g_modulo, x, y, SCM_ARG1, s_modulo);
}
}
-SCM_GPROC1 (s_gcd, "gcd", scm_tc7_asubr, scm_gcd, g_gcd);
+SCM_GPROC1 (s_gcd, "gcd", scm_tc7_asubr, scm_gcd, g_gcd);
+/* "Return the greatest common divisor of all arguments.\n"
+ * "If called without arguments, 0 is returned."
+ */
SCM
scm_gcd (SCM x, SCM y)
{
- long u, v, k, t;
- if (SCM_UNBNDP (y))
- return SCM_UNBNDP (x) ? SCM_INUM0 : x;
+ if (SCM_UNBNDP (y)) {
+ if (SCM_UNBNDP (x)) {
+ return SCM_INUM0;
+ } else {
+ return x;
+ }
+ }
+
tailrec:
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (x))
- {
- big_gcd:
- SCM_GASSERT2 (SCM_BIGP (x),
- g_gcd, x, y, SCM_ARG1, s_gcd);
- if (SCM_BIGSIGN (x))
- x = scm_copybig (x, 0);
- newy:
- if (SCM_NINUMP (y))
- {
- SCM_GASSERT2 (SCM_BIGP (y),
- g_gcd, x, y, SCM_ARGn, s_gcd);
- if (SCM_BIGSIGN (y))
- y = scm_copybig (y, 0);
- switch (scm_bigcomp (x, y))
- {
- case -1:
- swaprec:
- {
- SCM t = scm_remainder (x, y);
- x = y;
- y = t;
- }
- goto tailrec;
- case 0:
- return x;
- case 1:
- y = scm_remainder (y, x);
- goto newy;
- }
- /* instead of the switch, we could just
- return scm_gcd (y, scm_modulo (x, y)); */
+ if (SCM_INUMP (x)) {
+ if (SCM_INUMP (y)) {
+ long xx = SCM_INUM (x);
+ long yy = SCM_INUM (y);
+ long u = xx < 0 ? -xx : xx;
+ long v = yy < 0 ? -yy : yy;
+ long result;
+
+ if (xx == 0) {
+ result = v;
+ } else if (yy == 0) {
+ result = u;
+ } else {
+ int k = 1;
+ long t;
+
+ /* Determine a common factor 2^k */
+ while (!(1 & (u | v))) {
+ k <<= 1;
+ u >>= 1;
+ v >>= 1;
}
- if (SCM_EQ_P (y, SCM_INUM0))
- return x;
- goto swaprec;
- }
- if (SCM_NINUMP (y))
- {
- SCM t = x;
- x = y;
- y = t;
- goto big_gcd;
- }
-#else
- SCM_GASSERT2 (SCM_INUMP (x), g_gcd, x, y, SCM_ARG1, s_gcd);
- SCM_GASSERT2 (SCM_INUMP (y), g_gcd, x, y, SCM_ARGn, s_gcd);
-#endif
- u = SCM_INUM (x);
- if (u < 0)
- u = -u;
- v = SCM_INUM (y);
- if (v < 0)
- v = -v;
- else if (0 == v)
- goto getout;
- if (0 == u)
- {
- u = v;
- goto getout;
- }
- for (k = 1; !(1 & ((int) u | (int) v)); k <<= 1, u >>= 1, v >>= 1);
- if (1 & (int) u)
- t = -v;
- else
- {
- t = u;
- b3:
- t = SCM_SRS (t, 1);
- }
- if (!(1 & (int) t))
- goto b3;
- if (t > 0)
- u = t;
- else
- v = -t;
- if ((t = u - v))
- goto b3;
- u = u * k;
- getout:
- if (!SCM_POSFIXABLE (u))
+
+ /* Now, any factor 2^n can be eliminated */
+ if (u & 1) {
+ t = -v;
+ } else {
+ t = u;
+ b3:
+ t = SCM_SRS (t, 1);
+ }
+ if (!(1 & t))
+ goto b3;
+ if (t > 0)
+ u = t;
+ else
+ v = -t;
+ t = u - v;
+ if (t != 0)
+ goto b3;
+
+ result = u * k;
+ }
+ if (SCM_POSFIXABLE (result)) {
+ return SCM_MAKINUM (result);
+ } else {
#ifdef SCM_BIGDIG
- return scm_long2big (u);
+ return scm_long2big (result);
#else
- scm_num_overflow (s_gcd);
+ scm_num_overflow (s_gcd);
#endif
- return SCM_MAKINUM (u);
+ }
+ } else if (SCM_BIGP (y)) {
+ SCM_SWAP (x, y);
+ goto big_gcd;
+ } else {
+ SCM_WTA_DISPATCH_2 (g_gcd, x, y, SCM_ARG2, s_gcd);
+ }
+ } else if (SCM_BIGP (x)) {
+ big_gcd:
+ if (SCM_BIGSIGN (x))
+ x = scm_copybig (x, 0);
+ newy:
+ if (SCM_INUMP (y)) {
+ if (SCM_EQ_P (y, SCM_INUM0)) {
+ return x;
+ } else {
+ goto swaprec;
+ }
+ } else if (SCM_BIGP (y)) {
+ if (SCM_BIGSIGN (y))
+ y = scm_copybig (y, 0);
+ switch (scm_bigcomp (x, y))
+ {
+ case -1: /* x > y */
+ swaprec:
+ {
+ SCM t = scm_remainder (x, y);
+ x = y;
+ y = t;
+ }
+ goto tailrec;
+ case 1: /* x < y */
+ y = scm_remainder (y, x);
+ goto newy;
+ default: /* x == y */
+ return x;
+ }
+ /* instead of the switch, we could just
+ return scm_gcd (y, scm_modulo (x, y)); */
+ } else {
+ SCM_WTA_DISPATCH_2 (g_gcd, x, y, SCM_ARG2, s_gcd);
+ }
+ } else {
+ SCM_WTA_DISPATCH_2 (g_gcd, x, y, SCM_ARG1, s_gcd);
+ }
}
-SCM_GPROC1 (s_lcm, "lcm", scm_tc7_asubr, scm_lcm, g_lcm);
+SCM_GPROC1 (s_lcm, "lcm", scm_tc7_asubr, scm_lcm, g_lcm);
+/* "Return the least common multiple of the arguments.\n"
+ * "If called without arguments, 1 is returned."
+ */
SCM
scm_lcm (SCM n1, SCM n2)
{
- SCM d;
+ if (SCM_UNBNDP (n2)) {
+ if (SCM_UNBNDP (n1)) {
+ return SCM_MAKINUM (1L);
+ } else {
+ n2 = SCM_MAKINUM (1L);
+ }
+ };
+
#ifndef SCM_BIGDIG
- SCM_GASSERT2 (SCM_INUMP (n1) || SCM_UNBNDP (n1),
- g_lcm, n1, n2, SCM_ARG1, s_lcm);
- SCM_GASSERT2 (SCM_INUMP (n2) || SCM_UNBNDP (n2),
- g_lcm, n1, n2, SCM_ARGn, s_lcm);
+ SCM_GASSERT2 (SCM_INUMP (n1), g_lcm, n1, n2, SCM_ARG1, s_lcm);
+ SCM_GASSERT2 (SCM_INUMP (n2), g_lcm, n1, n2, SCM_ARGn, s_lcm);
#else
- SCM_GASSERT2 (SCM_INUMP (n1)
- || SCM_UNBNDP (n1)
- || (SCM_BIGP (n1)),
+ SCM_GASSERT2 (SCM_INUMP (n1) || SCM_BIGP (n1),
g_lcm, n1, n2, SCM_ARG1, s_lcm);
- SCM_GASSERT2 (SCM_INUMP (n2)
- || SCM_UNBNDP (n2)
- || (SCM_BIGP (n2)),
+ SCM_GASSERT2 (SCM_INUMP (n2) || SCM_BIGP (n2),
g_lcm, n1, n2, SCM_ARGn, s_lcm);
#endif
- if (SCM_UNBNDP (n2))
- {
- n2 = SCM_MAKINUM (1L);
- if (SCM_UNBNDP (n1))
- return n2;
+
+ {
+ SCM d = scm_gcd (n1, n2);
+ if (SCM_EQ_P (d, SCM_INUM0)) {
+ return d;
+ } else {
+ return scm_abs (scm_product (n1, scm_quotient (n2, d)));
}
-
- d = scm_gcd (n1, n2);
- if (SCM_EQ_P (d, SCM_INUM0))
- return d;
- return scm_abs (scm_product (n1, scm_quotient (n2, d)));
+ }
}
+
#ifndef scm_long2num
#define SCM_LOGOP_RETURN(x) scm_ulong2num(x)
#else
if (!num) return scm_normbig(z);
}
}
- else if (xsgn) do {
- num += x[i];
- if (num < 0) {zds[i] &= num + SCM_BIGRAD; num = -1;}
- else {zds[i] &= ~SCM_BIGLO(num); num = 0;}
- } while (++i < nx);
- else do zds[i] = zds[i] & x[i]; while (++i < nx);
+ else if (xsgn) {
+ unsigned long int carry = 1;
+ do {
+ unsigned long int mask = (SCM_BIGDIG) ~x[i] + carry;
+ zds[i] = zds[i] & (SCM_BIGDIG) mask;
+ carry = (mask >= SCM_BIGRAD) ? 1 : 0;
+ } while (++i < nx);
+ } else do zds[i] = zds[i] & x[i]; while (++i < nx);
return scm_normbig(z);
}
#endif
+
SCM_DEFINE1 (scm_logand, "logand", scm_tc7_asubr,
(SCM n1, SCM n2),
"Returns the integer which is the bit-wise AND of the two integer\n"
"Example:\n"
"@lisp\n"
"(number->string (logand #b1100 #b1010) 2)\n"
- " @result{} \"1000\"")
+ " @result{} \"1000\"\n"
+ "@end lisp")
#define FUNC_NAME s_scm_logand
{
- if (SCM_UNBNDP (n2))
- {
- if (SCM_UNBNDP (n1))
- return SCM_MAKINUM (-1);
+ long int nn1;
+
+ if (SCM_UNBNDP (n2)) {
+ if (SCM_UNBNDP (n1)) {
+ return SCM_MAKINUM (-1);
+ } else if (!SCM_NUMBERP (n1)) {
+ SCM_WRONG_TYPE_ARG (SCM_ARG1, n1);
#ifndef SCM_RECKLESS
- if (!(SCM_NUMBERP (n1)))
- badx: SCM_WTA (SCM_ARG1, n1);
-#endif
+ } else if (SCM_NUMBERP (n1)) {
return n1;
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG1, n1);
+#else
+ } else {
+ return n1;
+#endif
}
-#ifdef SCM_BIGDIG
- if SCM_NINUMP(n1) {
- SCM t;
- SCM_ASRTGO(SCM_NIMP(n1) && SCM_BIGP(n1), badx);
- if SCM_INUMP(n2) {t = n1; n1 = n2; n2 = t; goto intbig;}
- SCM_ASRTGO(SCM_NIMP(n2) && SCM_BIGP(n2), bady);
- if (SCM_NUMDIGS(n1) > SCM_NUMDIGS(n2)) {t = n1; n1 = n2; n2 = t;}
- if ((SCM_BIGSIGN(n1)) && SCM_BIGSIGN(n2))
- return scm_big_ior (SCM_BDIGITS(n1),
- SCM_NUMDIGS(n1),
- SCM_BIGSIGNFLAG,
- n2);
- return scm_big_and (SCM_BDIGITS(n1),
- SCM_NUMDIGS(n1),
- SCM_BIGSIGN(n1),
- n2,
- 0);
}
- if SCM_NINUMP(n2) {
-# ifndef SCM_RECKLESS
- if (!(SCM_NIMP(n2) && SCM_BIGP(n2)))
- bady: SCM_WTA (SCM_ARG2, n2);
-# endif
- intbig: {
+
+ if (SCM_INUMP (n1)) {
+ nn1 = SCM_INUM (n1);
+ if (SCM_INUMP (n2)) {
+ long nn2 = SCM_INUM (n2);
+ return SCM_MAKINUM (nn1 & nn2);
+ } else if SCM_BIGP (n2) {
+ intbig:
+ {
# ifndef SCM_DIGSTOOBIG
- long z = scm_pseudolong(SCM_INUM(n1));
- if ((n1 < 0) && SCM_BIGSIGN(n2))
- return scm_big_ior((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, SCM_BIGSIGNFLAG, n2);
- return scm_big_and((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, 0);
+ long z = scm_pseudolong (nn1);
+ if ((nn1 < 0) && SCM_BIGSIGN (n2)) {
+ return scm_big_ior ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG,
+ SCM_BIGSIGNFLAG, n2);
+ } else {
+ return scm_big_and ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG,
+ (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, 0);
+ }
# else
- SCM_BIGDIG zdigs[SCM_DIGSPERLONG];
- scm_longdigs(SCM_INUM(n1), zdigs);
- if ((n1 < 0) && SCM_BIGSIGN(n2))
- return scm_big_ior(zdigs, SCM_DIGSPERLONG, SCM_BIGSIGNFLAG, n2);
- return scm_big_and(zdigs, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, 0);
+ SCM_BIGDIG zdigs [SCM_DIGSPERLONG];
+ scm_longdigs (nn1, zdigs);
+ if ((nn1 < 0) && SCM_BIGSIGN (n2)) {
+ return scm_big_ior (zdigs, SCM_DIGSPERLONG, SCM_BIGSIGNFLAG, n2);
+ } else {
+ return scm_big_and (zdigs, SCM_DIGSPERLONG,
+ (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, 0);
+ }
# endif
- }}
-#else
- SCM_ASRTGO(SCM_INUMP(n1), badx);
- SCM_ASSERT(SCM_INUMP(n2), n2, SCM_ARG2, FUNC_NAME);
-#endif
- return SCM_MAKINUM(SCM_INUM(n1) & SCM_INUM(n2));
+ }
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG2, n2);
+ }
+ } else if (SCM_BIGP (n1)) {
+ if (SCM_INUMP (n2)) {
+ SCM_SWAP (n1, n2);
+ nn1 = SCM_INUM (n1);
+ goto intbig;
+ } else if (SCM_BIGP (n2)) {
+ if (SCM_NUMDIGS (n1) > SCM_NUMDIGS (n2)) {
+ SCM_SWAP (n1, n2);
+ };
+ if ((SCM_BIGSIGN (n1)) && SCM_BIGSIGN (n2)) {
+ return scm_big_ior (SCM_BDIGITS (n1), SCM_NUMDIGS (n1),
+ SCM_BIGSIGNFLAG, n2);
+ } else {
+ return scm_big_and (SCM_BDIGITS (n1), SCM_NUMDIGS (n1),
+ SCM_BIGSIGN (n1), n2, 0);
+ }
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG2, n2);
+ }
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG1, n1);
+ }
}
#undef FUNC_NAME
+
SCM_DEFINE1 (scm_logior, "logior", scm_tc7_asubr,
(SCM n1, SCM n2),
"Returns the integer which is the bit-wise OR of the two integer\n"
"@end lisp")
#define FUNC_NAME s_scm_logior
{
- if (SCM_UNBNDP (n2))
- {
- if (SCM_UNBNDP (n1))
- return SCM_INUM0;
+ long int nn1;
+
+ if (SCM_UNBNDP (n2)) {
+ if (SCM_UNBNDP (n1)) {
+ return SCM_INUM0;
#ifndef SCM_RECKLESS
- if (!(SCM_NUMBERP(n1)))
- badx: SCM_WTA(SCM_ARG1, n1);
-#endif
+ } else if (SCM_NUMBERP (n1)) {
+ return n1;
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG1, n1);
+#else
+ } else {
return n1;
+#endif
}
-#ifdef SCM_BIGDIG
- if SCM_NINUMP(n1) {
- SCM t;
- SCM_ASRTGO(SCM_NIMP(n1) && SCM_BIGP(n1), badx);
- if SCM_INUMP(n2) {t = n1; n1 = n2; n2 = t; goto intbig;}
- SCM_ASRTGO(SCM_NIMP(n2) && SCM_BIGP(n2), bady);
- if (SCM_NUMDIGS(n1) > SCM_NUMDIGS(n2)) {t = n1; n1 = n2; n2 = t;}
- if ((!SCM_BIGSIGN(n1)) && !SCM_BIGSIGN(n2))
- return scm_big_ior(SCM_BDIGITS(n1), SCM_NUMDIGS(n1), SCM_BIGSIGN(n1), n2);
- return scm_big_and(SCM_BDIGITS(n1), SCM_NUMDIGS(n1), SCM_BIGSIGN(n1), n2, SCM_BIGSIGNFLAG);
}
- if SCM_NINUMP(n2) {
-# ifndef SCM_RECKLESS
- if (!(SCM_NIMP(n2) && SCM_BIGP(n2)))
- bady: SCM_WTA(SCM_ARG2, n2);
-# endif
- intbig: {
+
+ if (SCM_INUMP (n1)) {
+ nn1 = SCM_INUM (n1);
+ if (SCM_INUMP (n2)) {
+ long nn2 = SCM_INUM (n2);
+ return SCM_MAKINUM (nn1 | nn2);
+ } else if (SCM_BIGP (n2)) {
+ intbig:
+ {
# ifndef SCM_DIGSTOOBIG
- long z = scm_pseudolong(SCM_INUM(n1));
- if ((!(n1 < 0)) && !SCM_BIGSIGN(n2))
- return scm_big_ior((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2);
- return scm_big_and((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, SCM_BIGSIGNFLAG);
+ long z = scm_pseudolong (nn1);
+ if ((!(nn1 < 0)) && !SCM_BIGSIGN (n2)) {
+ return scm_big_ior ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG,
+ (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2);
+ } else {
+ return scm_big_and ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG,
+ (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, SCM_BIGSIGNFLAG);
+ }
# else
- BIGDIG zdigs[DIGSPERLONG];
- scm_longdigs(SCM_INUM(n1), zdigs);
- if ((!(n1 < 0)) && !SCM_BIGSIGN(n2))
- return scm_big_ior(zdigs, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2);
- return scm_big_and(zdigs, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, SCM_BIGSIGNFLAG);
+ SCM_BIGDIG zdigs [SCM_DIGSPERLONG];
+ scm_longdigs (nn1, zdigs);
+ if ((!(nn1 < 0)) && !SCM_BIGSIGN (n2)) {
+ return scm_big_ior (zdigs, SCM_DIGSPERLONG,
+ (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2);
+ } else {
+ return scm_big_and (zdigs, SCM_DIGSPERLONG,
+ (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2, SCM_BIGSIGNFLAG);
+ }
# endif
- }}
-#else
- SCM_ASRTGO(SCM_INUMP(n1), badx);
- SCM_ASSERT(SCM_INUMP(n2), n2, SCM_ARG2, FUNC_NAME);
-#endif
- return SCM_MAKINUM(SCM_INUM(n1) | SCM_INUM(n2));
+ }
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG2, n2);
+ }
+ } else if (SCM_BIGP (n1)) {
+ if (SCM_INUMP (n2)) {
+ SCM_SWAP (n1, n2);
+ nn1 = SCM_INUM (n1);
+ goto intbig;
+ } else if (SCM_BIGP (n2)) {
+ if (SCM_NUMDIGS (n1) > SCM_NUMDIGS (n2)) {
+ SCM_SWAP (n1, n2);
+ };
+ if ((!SCM_BIGSIGN (n1)) && !SCM_BIGSIGN (n2)) {
+ return scm_big_ior (SCM_BDIGITS (n1), SCM_NUMDIGS (n1),
+ SCM_BIGSIGN (n1), n2);
+ } else {
+ return scm_big_and (SCM_BDIGITS (n1), SCM_NUMDIGS (n1),
+ SCM_BIGSIGN (n1), n2, SCM_BIGSIGNFLAG);
+ }
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG2, n2);
+ }
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG1, n1);
+ }
}
#undef FUNC_NAME
+
SCM_DEFINE1 (scm_logxor, "logxor", scm_tc7_asubr,
(SCM n1, SCM n2),
"Returns the integer which is the bit-wise XOR of the two integer\n"
"@end lisp")
#define FUNC_NAME s_scm_logxor
{
- if (SCM_UNBNDP (n2))
- {
- if (SCM_UNBNDP (n1))
- return SCM_INUM0;
+ long int nn1;
+
+ if (SCM_UNBNDP (n2)) {
+ if (SCM_UNBNDP (n1)) {
+ return SCM_INUM0;
#ifndef SCM_RECKLESS
- if (!(SCM_NUMBERP(n1)))
- badx: SCM_WTA(SCM_ARG1, n1);
-#endif
+ } else if (SCM_NUMBERP (n1)) {
return n1;
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG1, n1);
+#else
+ } else {
+ return n1;
+#endif
}
-#ifdef SCM_BIGDIG
- if SCM_NINUMP(n1) {
- SCM t;
- SCM_ASRTGO(SCM_NIMP(n1) && SCM_BIGP(n1), badx);
- if SCM_INUMP(n2)
- {
- t = n1;
- n1 = n2;
- n2 = t;
- goto intbig;
- }
- SCM_ASRTGO(SCM_NIMP(n2) && SCM_BIGP(n2), bady);
- if (SCM_NUMDIGS(n1) > SCM_NUMDIGS(n2))
- {
- t = n1;
- n1 = n2;
- n2 = t;
- }
- return scm_big_xor(SCM_BDIGITS(n1), SCM_NUMDIGS(n1), SCM_BIGSIGN(n1), n2);
}
- if SCM_NINUMP(n2) {
-# ifndef SCM_RECKLESS
- if (!(SCM_NIMP(n2) && SCM_BIGP(n2)))
- bady: SCM_WTA (SCM_ARG2, n2);
-# endif
- intbig:
+
+ if (SCM_INUMP (n1)) {
+ nn1 = SCM_INUM (n1);
+ if (SCM_INUMP (n2)) {
+ long nn2 = SCM_INUM (n2);
+ return SCM_MAKINUM (nn1 ^ nn2);
+ } else if (SCM_BIGP (n2)) {
+ intbig:
{
# ifndef SCM_DIGSTOOBIG
- long z = scm_pseudolong(SCM_INUM(n1));
- return scm_big_xor((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2);
+ long z = scm_pseudolong (nn1);
+ return scm_big_xor ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG,
+ (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2);
# else
- SCM_BIGDIG zdigs[SCM_DIGSPERLONG];
- scm_longdigs(SCM_INUM(n1), zdigs);
- return scm_big_xor(zdigs, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2);
+ SCM_BIGDIG zdigs [SCM_DIGSPERLONG];
+ scm_longdigs (nn1, zdigs);
+ return scm_big_xor (zdigs, SCM_DIGSPERLONG,
+ (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2);
# endif
}
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG2, n2);
+ }
+ } else if (SCM_BIGP (n1)) {
+ if (SCM_INUMP (n2)) {
+ SCM_SWAP (n1, n2);
+ nn1 = SCM_INUM (n1);
+ goto intbig;
+ } else if (SCM_BIGP (n2)) {
+ if (SCM_NUMDIGS(n1) > SCM_NUMDIGS(n2)) {
+ SCM_SWAP (n1, n2);
+ }
+ return scm_big_xor (SCM_BDIGITS (n1), SCM_NUMDIGS (n1),
+ SCM_BIGSIGN (n1), n2);
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG2, n2);
+ }
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG1, n1);
}
-#else
- SCM_ASRTGO(INUMP(n1), badx);
- SCM_ASSERT(INUMP(n2), n2, SCM_ARG2, FUNC_NAME);
-#endif
- return SCM_MAKINUM(SCM_INUM(n1) ^ SCM_INUM(n2));
}
#undef FUNC_NAME
+
SCM_DEFINE (scm_logtest, "logtest", 2, 0, 0,
(SCM n1, SCM n2),
"@example\n"
"@end example")
#define FUNC_NAME s_scm_logtest
{
-#ifndef SCM_RECKLESS
- if (!(SCM_NUMBERP(n1)))
- badx: SCM_WTA(SCM_ARG1, n1);
-#endif
-#ifdef SCM_BIGDIG
- if SCM_NINUMP(n1) {
- SCM t;
- SCM_ASRTGO(SCM_NIMP(n1) && SCM_BIGP(n1), badx);
- if SCM_INUMP(n2) {t = n1; n1 = n2; n2 = t; goto intbig;}
- SCM_ASRTGO(SCM_NIMP(n2) && SCM_BIGP(n2), bady);
- if (SCM_NUMDIGS(n1) > SCM_NUMDIGS(n2)) {t = n1; n1 = n2; n2 = t;}
- return scm_big_test(SCM_BDIGITS(n1), SCM_NUMDIGS(n1), SCM_BIGSIGN(n1), n2);
- }
- if SCM_NINUMP(n2) {
-# ifndef SCM_RECKLESS
- if (!(SCM_NIMP(n2) && SCM_BIGP(n2)))
- bady: SCM_WTA(SCM_ARG2, n2);
-# endif
- intbig: {
+ long int nn1;
+
+ if (SCM_INUMP (n1)) {
+ nn1 = SCM_INUM (n1);
+ if (SCM_INUMP (n2)) {
+ long nn2 = SCM_INUM (n2);
+ return SCM_BOOL (nn1 & nn2);
+ } else if (SCM_BIGP (n2)) {
+ intbig:
+ {
# ifndef SCM_DIGSTOOBIG
- long z = scm_pseudolong(SCM_INUM(n1));
- return scm_big_test((SCM_BIGDIG *)&z, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2);
+ long z = scm_pseudolong (nn1);
+ return scm_big_test ((SCM_BIGDIG *)&z, SCM_DIGSPERLONG,
+ (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2);
# else
- SCM_BIGDIG zdigs[SCM_DIGSPERLONG];
- scm_longdigs(SCM_INUM(n1), zdigs);
- return scm_big_test(zdigs, SCM_DIGSPERLONG, (n1 < 0) ? SCM_BIGSIGNFLAG : 0, n2);
+ SCM_BIGDIG zdigs [SCM_DIGSPERLONG];
+ scm_longdigs (nn1, zdigs);
+ return scm_big_test (zdigs, SCM_DIGSPERLONG,
+ (nn1 < 0) ? SCM_BIGSIGNFLAG : 0, n2);
# endif
- }}
-#else
- SCM_ASRTGO(SCM_INUMP(n1), badx);
- SCM_ASSERT(SCM_INUMP(n2), n2, SCM_ARG2, FUNC_NAME);
-#endif
- return (SCM_INUM(n1) & SCM_INUM(n2)) ? SCM_BOOL_T : SCM_BOOL_F;
+ }
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG2, n2);
+ }
+ } else if (SCM_BIGP (n1)) {
+ if (SCM_INUMP (n2)) {
+ SCM_SWAP (n1, n2);
+ nn1 = SCM_INUM (n1);
+ goto intbig;
+ } else if (SCM_BIGP (n2)) {
+ if (SCM_NUMDIGS (n1) > SCM_NUMDIGS (n2)) {
+ SCM_SWAP (n1, n2);
+ }
+ return scm_big_test (SCM_BDIGITS (n1), SCM_NUMDIGS (n1),
+ SCM_BIGSIGN (n1), n2);
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG2, n2);
+ }
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG1, n1);
+ }
}
#undef FUNC_NAME
"@end example")
#define FUNC_NAME s_scm_logbit_p
{
- SCM_ASSERT(SCM_INUMP(index) && SCM_INUM(index) >= 0, index, SCM_ARG1, FUNC_NAME);
-#ifdef SCM_BIGDIG
- if SCM_NINUMP(j) {
- SCM_ASSERT(SCM_NIMP(j) && SCM_BIGP(j), j, SCM_ARG2, FUNC_NAME);
- if (SCM_NUMDIGS(j) * SCM_BITSPERDIG < SCM_INUM(index)) return SCM_BOOL_F;
- else if SCM_BIGSIGN(j) {
+ unsigned long int iindex;
+
+ SCM_VALIDATE_INUM_MIN (SCM_ARG1, index, 0);
+ iindex = (unsigned long int) SCM_INUM (index);
+
+ if (SCM_INUMP (j)) {
+ return SCM_BOOL ((1L << iindex) & SCM_INUM (j));
+ } else if (SCM_BIGP (j)) {
+ if (SCM_NUMDIGS (j) * SCM_BITSPERDIG < iindex) {
+ return SCM_BOOL_F;
+ } else if (SCM_BIGSIGN (j)) {
long num = -1;
scm_sizet i = 0;
- SCM_BIGDIG *x = SCM_BDIGITS(j);
- scm_sizet nx = SCM_INUM(index)/SCM_BITSPERDIG;
- while (!0) {
+ SCM_BIGDIG * x = SCM_BDIGITS (j);
+ scm_sizet nx = iindex / SCM_BITSPERDIG;
+ while (1) {
num += x[i];
- if (nx==i++)
- return ((1L << (SCM_INUM(index)%SCM_BITSPERDIG)) & num) ? SCM_BOOL_F : SCM_BOOL_T;
- if (num < 0) num = -1;
- else num = 0;
+ if (nx == i++) {
+ return SCM_BOOL (((1L << (iindex % SCM_BITSPERDIG)) & num) == 0);
+ } else if (num < 0) {
+ num = -1;
+ } else {
+ num = 0;
+ }
}
+ } else {
+ return SCM_BOOL (SCM_BDIGITS (j) [iindex / SCM_BITSPERDIG]
+ & (1L << (iindex % SCM_BITSPERDIG)));
}
- else return (SCM_BDIGITS(j)[SCM_INUM(index)/SCM_BITSPERDIG] &
- (1L << (SCM_INUM(index)%SCM_BITSPERDIG))) ? SCM_BOOL_T : SCM_BOOL_F;
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG2, j);
}
-#else
- SCM_ASSERT(SCM_INUMP(j), j, SCM_ARG2, FUNC_NAME);
-#endif
- return ((1L << SCM_INUM(index)) & SCM_INUM(j)) ? SCM_BOOL_T : SCM_BOOL_F;
}
#undef FUNC_NAME
+
SCM_DEFINE (scm_lognot, "lognot", 1, 0, 0,
(SCM n),
"Returns the integer which is the 2s-complement of the integer argument.\n\n"
" @result{} \"-10000001\"\n"
"(number->string (lognot #b0) 2)\n"
" @result{} \"-1\"\n"
- "@end lisp\n"
- "")
+ "@end lisp\n")
#define FUNC_NAME s_scm_lognot
{
return scm_difference (SCM_MAKINUM (-1L), n);
SCM_DEFINE (scm_ash, "ash", 2, 0, 0,
(SCM n, SCM cnt),
- "The function ash performs an arithmetic shift left by CNT bits\n"
- "(or shift right, if CNT is negative). 'Arithmetic' means, that\n"
- "the function does not guarantee to keep the bit structure of N,\n"
- "but rather guarantees that the result will always be rounded\n"
- "towards minus infinity. Therefore, the results of ash and a\n"
- "corresponding bitwise shift will differ if N is negative.\n\n"
+ "The function ash performs an arithmetic shift left by @var{CNT}\n"
+ "bits (or shift right, if @var{cnt} is negative).\n"
+ "'Arithmetic' means, that the function does not guarantee to\n"
+ "keep the bit structure of @var{n}, but rather guarantees that\n"
+ "the result will always be rounded towards minus infinity.\n"
+ "Therefore, the results of ash and a corresponding bitwise\n"
+ "shift will differ if N is negative.\n\n"
"Formally, the function returns an integer equivalent to\n"
- "@code{(inexact->exact (floor (* N (expt 2 CNT))))}.@refill\n\n"
+ "@code{(inexact->exact (floor (* @var{n} (expt 2 @var{cnt}))))}.\n\n"
"Example:\n"
"@lisp\n"
"(number->string (ash #b1 3) 2)\n"
- " @result{} \"1000\""
- "(number->string (ash #b1010 -1) 2)"
- " @result{} \"101\""
+ " @result{} \"1000\"\n"
+ "(number->string (ash #b1010 -1) 2)\n"
+ " @result{} \"101\"\n"
"@end lisp")
#define FUNC_NAME s_scm_ash
{
}
#undef FUNC_NAME
-/* GJB:FIXME: do not use SCMs as integers! */
+
SCM_DEFINE (scm_bit_extract, "bit-extract", 3, 0, 0,
(SCM n, SCM start, SCM end),
"Returns the integer composed of the @var{start} (inclusive) through\n"
"@end lisp")
#define FUNC_NAME s_scm_bit_extract
{
- int istart, iend;
- SCM_VALIDATE_INUM (1,n);
+ unsigned long int istart, iend;
SCM_VALIDATE_INUM_MIN_COPY (2,start,0,istart);
SCM_VALIDATE_INUM_MIN_COPY (3, end, 0, iend);
SCM_ASSERT_RANGE (3, end, (iend >= istart));
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (n))
- return
- scm_logand (scm_difference (scm_integer_expt (SCM_MAKINUM (2),
- SCM_MAKINUM (iend - istart)),
- SCM_MAKINUM (1L)),
- scm_ash (n, SCM_MAKINUM (-istart)));
-#else
- SCM_VALIDATE_INUM (1,n);
-#endif
- return SCM_MAKINUM ((SCM_INUM (n) >> istart) & ((1L << (iend - istart)) - 1));
+
+ if (SCM_INUMP (n)) {
+ long int in = SCM_INUM (n);
+ unsigned long int bits = iend - istart;
+
+ if (in < 0 && bits >= SCM_FIXNUM_BIT)
+ {
+ /* Since we emulate two's complement encoded numbers, this special
+ * case requires us to produce a result that has more bits than can be
+ * stored in a fixnum. Thus, we fall back to the more general
+ * algorithm that is used for bignums.
+ */
+ goto generalcase;
+ }
+
+ if (istart < SCM_FIXNUM_BIT)
+ {
+ in = in >> istart;
+ if (bits < SCM_FIXNUM_BIT)
+ return SCM_MAKINUM (in & ((1L << bits) - 1));
+ else /* we know: in >= 0 */
+ return SCM_MAKINUM (in);
+ }
+ else if (in < 0)
+ {
+ return SCM_MAKINUM (-1L & ((1L << bits) - 1));
+ }
+ else
+ {
+ return SCM_MAKINUM (0);
+ }
+ } else if (SCM_BIGP (n)) {
+ generalcase:
+ {
+ SCM num1 = SCM_MAKINUM (1L);
+ SCM num2 = SCM_MAKINUM (2L);
+ SCM bits = SCM_MAKINUM (iend - istart);
+ SCM mask = scm_difference (scm_integer_expt (num2, bits), num1);
+ return scm_logand (mask, scm_ash (n, SCM_MAKINUM (-istart)));
+ }
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG1, n);
+ }
}
#undef FUNC_NAME
+
static const char scm_logtab[] = {
0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4
};
"@end lisp")
#define FUNC_NAME s_scm_logcount
{
- register unsigned long c = 0;
- register long nn;
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (n))
- {
- scm_sizet i;
- SCM_BIGDIG *ds, d;
- SCM_VALIDATE_BIGINT (1,n);
- if (SCM_BIGSIGN (n))
- return scm_logcount (scm_difference (SCM_MAKINUM (-1L), n));
- ds = SCM_BDIGITS (n);
- for (i = SCM_NUMDIGS (n); i--;)
- for (d = ds[i]; d; d >>= 4)
+ if (SCM_INUMP (n)) {
+ unsigned long int c = 0;
+ long int nn = SCM_INUM (n);
+ if (nn < 0) {
+ nn = -1 - nn;
+ };
+ while (nn) {
+ c += scm_logtab[15 & nn];
+ nn >>= 4;
+ };
+ return SCM_MAKINUM (c);
+ } else if (SCM_BIGP (n)) {
+ if (SCM_BIGSIGN (n)) {
+ return scm_logcount (scm_difference (SCM_MAKINUM (-1L), n));
+ } else {
+ unsigned long int c = 0;
+ scm_sizet i = SCM_NUMDIGS (n);
+ SCM_BIGDIG * ds = SCM_BDIGITS (n);
+ while (i--) {
+ SCM_BIGDIG d;
+ for (d = ds[i]; d; d >>= 4) {
c += scm_logtab[15 & d];
+ }
+ }
return SCM_MAKINUM (c);
}
-#else
- SCM_VALIDATE_INUM (1,n);
-#endif
- if ((nn = SCM_INUM (n)) < 0)
- nn = -1 - nn;
- for (; nn; nn >>= 4)
- c += scm_logtab[15 & nn];
- return SCM_MAKINUM (c);
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG1, n);
+ }
}
#undef FUNC_NAME
"@end lisp")
#define FUNC_NAME s_scm_integer_length
{
- register unsigned long c = 0;
- register long nn;
- unsigned int l = 4;
-#ifdef SCM_BIGDIG
- if (SCM_NINUMP (n))
- {
- SCM_BIGDIG *ds, d;
- SCM_VALIDATE_BIGINT (1,n);
- if (SCM_BIGSIGN (n))
- return scm_integer_length (scm_difference (SCM_MAKINUM (-1L), n));
- ds = SCM_BDIGITS (n);
- d = ds[c = SCM_NUMDIGS (n) - 1];
- for (c *= SCM_BITSPERDIG; d; d >>= 4)
- {
- c += 4;
- l = scm_ilentab[15 & d];
- }
- return SCM_MAKINUM (c - 4 + l);
- }
-#else
- SCM_VALIDATE_INUM (1,n);
-#endif
- if ((nn = SCM_INUM (n)) < 0)
- nn = -1 - nn;
- for (; nn; nn >>= 4)
- {
+ if (SCM_INUMP (n)) {
+ unsigned long int c = 0;
+ unsigned int l = 4;
+ long int nn = SCM_INUM (n);
+ if (nn < 0) {
+ nn = -1 - nn;
+ };
+ while (nn) {
c += 4;
- l = scm_ilentab[15 & nn];
+ l = scm_ilentab [15 & nn];
+ nn >>= 4;
+ };
+ return SCM_MAKINUM (c - 4 + l);
+ } else if (SCM_BIGP (n)) {
+ if (SCM_BIGSIGN (n)) {
+ return scm_integer_length (scm_difference (SCM_MAKINUM (-1L), n));
+ } else {
+ unsigned long int digs = SCM_NUMDIGS (n) - 1;
+ unsigned long int c = digs * SCM_BITSPERDIG;
+ unsigned int l = 4;
+ SCM_BIGDIG * ds = SCM_BDIGITS (n);
+ SCM_BIGDIG d = ds [digs];
+ while (d) {
+ c += 4;
+ l = scm_ilentab [15 & d];
+ d >>= 4;
+ };
+ return SCM_MAKINUM (c - 4 + l);
}
- return SCM_MAKINUM (c - 4 + l);
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARG1, n);
+ }
}
#undef FUNC_NAME
/* Cast to long int to avoid signed/unsigned comparison warnings. */
if ((( ((long int) nlen) << SCM_BIGSIZEFIELD) >> SCM_BIGSIZEFIELD)
!= (long int) nlen)
- scm_wta (SCM_MAKINUM (nlen), (char *) SCM_NALLOC, s_bignum);
+ scm_memory_error (s_bignum);
SCM_NEWCELL (v);
SCM_DEFER_INTS;
- SCM_SETCHARS (v, scm_must_malloc ((long) (nlen * sizeof (SCM_BIGDIG)),
- s_bignum));
+ SCM_SET_BIGNUM_BASE (v, scm_must_malloc (nlen * sizeof (SCM_BIGDIG), s_bignum));
SCM_SETNUMDIGS (v, nlen, sign);
SCM_ALLOW_INTS;
return v;
if (SCM_POSFIXABLE (num))
return SCM_MAKINUM (num);
}
- else if (SCM_UNEGFIXABLE (num))
+ else if (num <= -SCM_MOST_NEGATIVE_FIXNUM)
return SCM_MAKINUM (-num);
return b;
}
{
scm_sizet nsiz = nlen;
if (((nsiz << SCM_BIGSIZEFIELD) >> SCM_BIGSIZEFIELD) != nlen)
- scm_wta (scm_ulong2num (nsiz), (char *) SCM_NALLOC, s_adjbig);
+ scm_memory_error (s_adjbig);
SCM_DEFER_INTS;
{
SCM_BIGDIG *digits
= ((SCM_BIGDIG *)
- scm_must_realloc ((char *) SCM_CHARS (b),
+ scm_must_realloc ((char *) SCM_BDIGITS (b),
(long) (SCM_NUMDIGS (b) * sizeof (SCM_BIGDIG)),
(long) (nsiz * sizeof (SCM_BIGDIG)), s_bignum));
- SCM_SETCHARS (b, digits);
+ SCM_SET_BIGNUM_BASE (b, digits);
SCM_SETNUMDIGS (b, nsiz, SCM_BIGSIGN (b));
}
SCM_ALLOW_INTS;
}
return ans;
}
-#endif
+#endif /* HAVE_LONG_LONGS */
SCM
}
-/* Sun's compiler complains about the fact that this function has an
- ANSI prototype in numbers.h, but a K&R declaration here, and the
- two specify different promotions for the third argument. I'm going
- to turn this into an ANSI declaration, and see if anyone complains
- about it not being K&R. */
-
unsigned int
-scm_divbigdig (SCM_BIGDIG * ds,
- scm_sizet h,
- SCM_BIGDIG div)
+scm_divbigdig (SCM_BIGDIG * ds, scm_sizet h, SCM_BIGDIG div)
{
register unsigned long t2 = 0;
while (h--)
-SCM
+static SCM
scm_divbigint (SCM x, long z, int sgn, int mode)
{
if (z < 0)
}
-SCM
+static SCM
scm_divbigbig (SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn, int modes)
{
/* modes description
0 remainder
1 scm_modulo
2 quotient
- 3 quotient but returns 0 if division is not exact. */
+ 3 quotient but returns SCM_UNDEFINED if division is not exact. */
scm_sizet i = 0, j = 0;
long num = 0;
unsigned long t2 = 0;
case 2:
return SCM_INUM0; /* quotient is zero */
case 3:
- return 0; /* the division is not exact */
+ return SCM_UNDEFINED; /* the division is not exact */
}
z = scm_mkbig (nx == ny ? nx + 2 : nx + 1, sgn);
case 3: /* check that remainder==0 */
for (j = ny; j && !zds[j - 1]; --j);
if (j)
- return 0;
+ return SCM_UNDEFINED;
case 2: /* move quotient down in z */
j = (nx == ny ? nx + 2 : nx + 1) - ny;
for (i = 0; i < j; i++)
: (SCM_BITSPERDIG * i) + 2;
scm_sizet k = 0;
scm_sizet radct = 0;
- scm_sizet ch; /* jeh */
SCM_BIGDIG radpow = 1, radmod = 0;
SCM ss = scm_makstr ((long) j, 0);
- char *s = SCM_CHARS (ss), c;
+ char *s = SCM_STRING_CHARS (ss), c;
while ((long) radpow * radix < SCM_BIGRAD)
{
radpow *= radix;
radct++;
}
- s[0] = SCM_BIGSIGN (b) ? '-' : '+';
while ((i || radmod) && j)
{
if (k == 0)
k--;
s[--j] = c < 10 ? c + '0' : c + 'a' - 10;
}
- ch = s[0] == '-' ? 1 : 0; /* jeh */
- if (ch < j)
- { /* jeh */
- for (i = j; j < SCM_LENGTH (ss); j++)
- s[ch + j - i] = s[j]; /* jeh */
- scm_vector_set_length_x (ss, /* jeh */
- SCM_MAKINUM (ch + SCM_LENGTH (ss) - i));
+
+ if (SCM_BIGSIGN (b))
+ s[--j] = '-';
+
+ if (j > 0)
+ {
+ /* The pre-reserved string length was too large. */
+ unsigned long int length = SCM_STRING_LENGTH (ss);
+ ss = scm_substring (ss, SCM_MAKINUM (j), SCM_MAKINUM (length));
}
return scm_return_first (ss, t);
SCM_DEFINE (scm_number_to_string, "number->string", 1, 1, 0,
- (SCM x, SCM radix),
- "")
+ (SCM n, SCM radix),
+ "Return a string holding the external representation of the\n"
+ "number @var{n} in the given @var{radix}. If @var{n} is\n"
+ "inexact, a radix of 10 will be used.")
#define FUNC_NAME s_scm_number_to_string
{
int base;
- SCM_VALIDATE_INUM_MIN_DEF_COPY (2,radix,2,10,base);
- if (SCM_NINUMP (x))
- {
- char num_buf[SCM_FLOBUFLEN];
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (x), badx);
- if (SCM_BIGP (x))
- return big2str (x, (unsigned int) base);
-#ifndef SCM_RECKLESS
- if (!SCM_SLOPPY_INEXACTP (x))
- {
- badx:
- SCM_WTA (1, x);
- }
-#endif
-#else
- SCM_ASSERT (SCM_SLOPPY_INEXACTP (x),
- x, SCM_ARG1, s_number_to_string);
-#endif
- return scm_makfromstr (num_buf, iflo2str (x, num_buf), 0);
- }
- {
- char num_buf[SCM_INTBUFLEN];
- return scm_makfromstr (num_buf,
- scm_iint2str (SCM_INUM (x),
- base,
- num_buf),
- 0);
+
+ if (SCM_UNBNDP (radix)) {
+ base = 10;
+ } else {
+ SCM_VALIDATE_INUM (2, radix);
+ base = SCM_INUM (radix);
+ SCM_ASSERT_RANGE (2, radix, base >= 2);
+ }
+
+ if (SCM_INUMP (n)) {
+ char num_buf [SCM_INTBUFLEN];
+ scm_sizet length = scm_iint2str (SCM_INUM (n), base, num_buf);
+ return scm_makfromstr (num_buf, length, 0);
+ } else if (SCM_BIGP (n)) {
+ return big2str (n, (unsigned int) base);
+ } else if (SCM_INEXACTP (n)) {
+ char num_buf [SCM_FLOBUFLEN];
+ return scm_makfromstr (num_buf, iflo2str (n, num_buf), 0);
+ } else {
+ SCM_WRONG_TYPE_ARG (1, n);
}
}
#undef FUNC_NAME
{
#ifdef SCM_BIGDIG
exp = big2str (exp, (unsigned int) 10);
- scm_lfwrite (SCM_CHARS (exp), (scm_sizet) SCM_LENGTH (exp), port);
+ scm_lfwrite (SCM_STRING_CHARS (exp), (scm_sizet) SCM_STRING_LENGTH (exp), port);
#else
scm_ipruk ("bignum", exp, port);
#endif
return SCM_BOOL_F; /* must have leading sign */
if (++i < len)
return SCM_BOOL_F; /* `i' not last character */
- return scm_makdbl (0.0, lead_sgn);
+ return scm_make_complex (0.0, lead_sgn);
}
do
{ /* check initial digits */
case DIGITS:
expon = expon * 10 + c - '0';
if (expon > SCM_MAXEXP)
- return SCM_BOOL_F; /* exponent too large */
+ scm_out_of_range ("string->number", SCM_MAKINUM (expon));
break;
default:
goto out4;
if (lead_sgn == -1.0)
res = -res;
if (i == len)
- return scm_makdbl (res, 0.0);
+ return scm_make_real (res);
if (str[i] == 'i' || str[i] == 'I')
{ /* pure imaginary number */
return SCM_BOOL_F; /* must have leading sign */
if (++i < len)
return SCM_BOOL_F; /* `i' not last character */
- return scm_makdbl (0.0, res);
+ return scm_make_complex (0.0, res);
}
switch (str[i++])
return SCM_BOOL_F; /* not `real' */
if (SCM_SLOPPY_COMPLEXP (second))
return SCM_BOOL_F; /* not `real' */
- tmp = SCM_REALPART (second);
- return scm_makdbl (res * cos (tmp), res * sin (tmp));
+ tmp = SCM_REAL_VALUE (second);
+ return scm_make_complex (res * cos (tmp), res * sin (tmp));
}
default:
return SCM_BOOL_F;
return SCM_BOOL_F;
/* handles `x+i' and `x-i' */
if (i == (len - 1))
- return scm_makdbl (res, lead_sgn);
+ return scm_make_complex (res, lead_sgn);
/* get a `ureal' for complex part */
second = scm_istr2flo (&str[i], (long) ((len - i) - 1), radix);
if (!SCM_INEXACTP (second))
return SCM_BOOL_F; /* not `ureal' */
if (SCM_SLOPPY_COMPLEXP (second))
return SCM_BOOL_F; /* not `ureal' */
- tmp = SCM_REALPART (second);
+ tmp = SCM_REAL_VALUE (second);
if (tmp < 0.0)
return SCM_BOOL_F; /* not `ureal' */
- return scm_makdbl (res, (lead_sgn * tmp));
+ return scm_make_complex (res, (lead_sgn * tmp));
}
SCM_DEFINE (scm_string_to_number, "string->number", 1, 1, 0,
- (SCM str, SCM radix),
- "")
+ (SCM string, SCM radix),
+ "Returns a number of the maximally precise representation\n"
+ "expressed by the given @var{string}. @var{radix} must be an\n"
+ "exact integer, either 2, 8, 10, or 16. If supplied, @var{RADIX}\n"
+ "is a default radix that may be overridden by an explicit\n"
+ "radix prefix in @var{string} (e.g. \"#o177\"). If @var{radix}\n"
+ "is not supplied, then the default radix is 10. If string is\n"
+ "not a syntactically valid notation for a number, then\n"
+ "@code{string->number} returns @code{#f}. (r5rs)")
#define FUNC_NAME s_scm_string_to_number
{
SCM answer;
int base;
- SCM_VALIDATE_ROSTRING (1,str);
+ SCM_VALIDATE_STRING (1, string);
SCM_VALIDATE_INUM_MIN_DEF_COPY (2,radix,2,10,base);
- answer = scm_istring2number (SCM_ROCHARS (str),
- SCM_ROLENGTH (str),
+ answer = scm_istring2number (SCM_STRING_CHARS (string),
+ SCM_STRING_LENGTH (string),
base);
- return scm_return_first (answer, str);
+ return scm_return_first (answer, string);
}
#undef FUNC_NAME
/*** END strs->nums ***/
+
SCM
scm_make_real (double x)
{
SCM z;
- SCM_NEWREAL (z, x);
+ SCM_NEWCELL2 (z);
+ SCM_SET_CELL_TYPE (z, scm_tc16_real);
+ SCM_REAL_VALUE (z) = x;
return z;
}
+
SCM
scm_make_complex (double x, double y)
{
- SCM z;
- SCM_NEWCOMPLEX (z, x, y);
- return z;
+ if (y == 0.0) {
+ return scm_make_real (x);
+ } else {
+ SCM z;
+ SCM_NEWSMOB (z, scm_tc16_complex, scm_must_malloc (2L * sizeof (double), "complex"));
+ SCM_COMPLEX_REAL (z) = x;
+ SCM_COMPLEX_IMAG (z) = y;
+ return z;
+ }
}
+
SCM
scm_bigequal (SCM x, SCM y)
{
SCM_REGISTER_PROC (s_number_p, "number?", 1, 0, 0, scm_number_p);
-
+/* "Return @code{#t} if @var{x} is a number, @code{#f}\n"
+ * "else. Note that the sets of complex, real, rational and\n"
+ * "integer values form subsets of the set of numbers, i. e. the\n"
+ * "predicate will be fulfilled for any number."
+ */
SCM_DEFINE (scm_number_p, "complex?", 1, 0, 0,
(SCM x),
- "")
+ "Return @code{#t} if @var{x} is a complex number, @code{#f}\n"
+ "else. Note that the sets of real, rational and integer\n"
+ "values form subsets of the set of complex numbers, i. e. the\n"
+ "predicate will also be fulfilled if @var{x} is a real,\n"
+ "rational or integer number.")
#define FUNC_NAME s_scm_number_p
{
- if (SCM_INUMP (x))
- return SCM_BOOL_T;
- if (SCM_NUMP (x))
- return SCM_BOOL_T;
- return SCM_BOOL_F;
+ return SCM_BOOL (SCM_NUMBERP (x));
}
#undef FUNC_NAME
-
SCM_REGISTER_PROC (s_real_p, "real?", 1, 0, 0, scm_real_p);
-
-
+/* "Return @code{#t} if @var{x} is a real number, @code{#f} else.\n"
+ * "Note that the sets of integer and rational values form a subset\n"
+ * "of the set of real numbers, i. e. the predicate will also\n"
+ * "be fulfilled if @var{x} is an integer or a rational number."
+ */
SCM_DEFINE (scm_real_p, "rational?", 1, 0, 0,
(SCM x),
- "")
+ "Return @code{#t} if @var{x} is a rational number, @code{#f}\n"
+ "else. Note that the set of integer values forms a subset of\n"
+ "the set of rational numbers, i. e. the predicate will also be\n"
+ "fulfilled if @var{x} is an integer number. Real numbers\n"
+ "will also satisfy this predicate, because of their limited\n"
+ "precision.")
#define FUNC_NAME s_scm_real_p
{
- if (SCM_INUMP (x))
+ if (SCM_INUMP (x)) {
return SCM_BOOL_T;
- if (SCM_IMP (x))
+ } else if (SCM_IMP (x)) {
return SCM_BOOL_F;
- if (SCM_SLOPPY_REALP (x))
+ } else if (SCM_SLOPPY_REALP (x)) {
return SCM_BOOL_T;
-#ifdef SCM_BIGDIG
- if (SCM_BIGP (x))
+ } else if (SCM_BIGP (x)) {
return SCM_BOOL_T;
-#endif
- return SCM_BOOL_F;
+ } else {
+ return SCM_BOOL_F;
+ }
}
#undef FUNC_NAME
-
SCM_DEFINE (scm_integer_p, "integer?", 1, 0, 0,
(SCM x),
- "")
+ "Return @code{#t} if @var{x} is an integer number, @code{#f}\n"
+ "else.")
#define FUNC_NAME s_scm_integer_p
{
double r;
return SCM_BOOL_T;
if (SCM_IMP (x))
return SCM_BOOL_F;
-#ifdef SCM_BIGDIG
if (SCM_BIGP (x))
return SCM_BOOL_T;
-#endif
if (!SCM_SLOPPY_INEXACTP (x))
return SCM_BOOL_F;
if (SCM_SLOPPY_COMPLEXP (x))
return SCM_BOOL_F;
- r = SCM_REALPART (x);
+ r = SCM_REAL_VALUE (x);
if (r == floor (r))
return SCM_BOOL_T;
return SCM_BOOL_F;
#undef FUNC_NAME
-
SCM_DEFINE (scm_inexact_p, "inexact?", 1, 0, 0,
(SCM x),
- "")
+ "Return @code{#t} if @var{x} is an inexact number, @code{#f}\n"
+ "else.")
#define FUNC_NAME s_scm_inexact_p
{
- if (SCM_INEXACTP (x))
- return SCM_BOOL_T;
- return SCM_BOOL_F;
+ return SCM_BOOL (SCM_INEXACTP (x));
}
#undef FUNC_NAME
-
-
SCM_GPROC1 (s_eq_p, "=", scm_tc7_rpsubr, scm_num_eq_p, g_eq_p);
-
+/* "Return @code{#t} if all parameters are numerically equal." */
SCM
scm_num_eq_p (SCM x, SCM y)
{
- SCM t;
- if (SCM_NINUMP (x))
- {
-#ifdef SCM_BIGDIG
- if (!SCM_NIMP (x))
- {
- badx:
- SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARG1, s_eq_p);
- }
- if (SCM_BIGP (x))
- {
- if (SCM_INUMP (y))
- return SCM_BOOL_F;
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- return SCM_BOOL(0 == scm_bigcomp (x, y));
- SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady);
- bigreal:
- return ((SCM_SLOPPY_REALP (y) && (scm_big2dbl (x) == SCM_REALPART (y)))
- ? SCM_BOOL_T
- : SCM_BOOL_F);
- }
- SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx);
-#else
- SCM_GASSERT2 (SCM_SLOPPY_INEXACTP (x),
- g_eq_p, x, y, SCM_ARG1, s_eq_p);
-#endif
- if (SCM_INUMP (y))
- {
- t = x;
- x = y;
- y = t;
- goto realint;
- }
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- {
- t = x;
- x = y;
- y = t;
- goto bigreal;
- }
- SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady);
-#else
- SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady);
-#endif
- if (SCM_SLOPPY_REALP (x))
- {
- if (SCM_SLOPPY_REALP (y))
- return SCM_BOOL (SCM_REAL_VALUE (x) == SCM_REAL_VALUE (y));
- else
- return SCM_BOOL (SCM_REAL_VALUE (x) == SCM_COMPLEX_REAL (y)
- && 0.0 == SCM_COMPLEX_IMAG (y));
- }
- else
- {
- if (SCM_SLOPPY_REALP (y))
- return SCM_BOOL (SCM_COMPLEX_REAL (x) == SCM_REAL_VALUE (y)
- && SCM_COMPLEX_IMAG (x) == 0.0);
- else
- return SCM_BOOL (SCM_COMPLEX_REAL (x) == SCM_COMPLEX_REAL (y)
- && SCM_COMPLEX_IMAG (x) == SCM_COMPLEX_IMAG (y));
- }
+ if (SCM_INUMP (x)) {
+ long xx = SCM_INUM (x);
+ if (SCM_INUMP (y)) {
+ long yy = SCM_INUM (y);
+ return SCM_BOOL (xx == yy);
+ } else if (SCM_BIGP (y)) {
+ return SCM_BOOL_F;
+ } else if (SCM_REALP (y)) {
+ return SCM_BOOL ((double) xx == SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ return SCM_BOOL (((double) xx == SCM_COMPLEX_REAL (y))
+ && (0.0 == SCM_COMPLEX_IMAG (y)));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p);
}
- if (SCM_NINUMP (y))
- {
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- return SCM_BOOL_F;
- if (!SCM_SLOPPY_INEXACTP (y))
- {
- bady:
- SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p);
- }
-#else
- if (!SCM_SLOPPY_INEXACTP (y))
- {
- bady:
- SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p);
- }
-#endif
- realint:
- if (SCM_SLOPPY_REALP (y))
- return SCM_BOOL ((double) SCM_INUM (x) == SCM_REAL_VALUE (y));
- else
- return SCM_BOOL ((double) SCM_INUM (x) == SCM_COMPLEX_REAL (y)
- && 0.0 == SCM_COMPLEX_IMAG (y));
+ } else if (SCM_BIGP (x)) {
+ if (SCM_INUMP (y)) {
+ return SCM_BOOL_F;
+ } else if (SCM_BIGP (y)) {
+ return SCM_BOOL (0 == scm_bigcomp (x, y));
+ } else if (SCM_REALP (y)) {
+ return SCM_BOOL (scm_big2dbl (x) == SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ return SCM_BOOL ((scm_big2dbl (x) == SCM_COMPLEX_REAL (y))
+ && (0.0 == SCM_COMPLEX_IMAG (y)));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p);
+ }
+ } else if (SCM_REALP (x)) {
+ if (SCM_INUMP (y)) {
+ return SCM_BOOL (SCM_REAL_VALUE (x) == (double) SCM_INUM (y));
+ } else if (SCM_BIGP (y)) {
+ return SCM_BOOL (SCM_REAL_VALUE (x) == scm_big2dbl (y));
+ } else if (SCM_REALP (y)) {
+ return SCM_BOOL (SCM_REAL_VALUE (x) == SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ return SCM_BOOL ((SCM_REAL_VALUE (x) == SCM_COMPLEX_REAL (y))
+ && (0.0 == SCM_COMPLEX_IMAG (y)));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p);
+ }
+ } else if (SCM_COMPLEXP (x)) {
+ if (SCM_INUMP (y)) {
+ return SCM_BOOL ((SCM_COMPLEX_REAL (x) == (double) SCM_INUM (y))
+ && (SCM_COMPLEX_IMAG (x) == 0.0));
+ } else if (SCM_BIGP (y)) {
+ return SCM_BOOL ((SCM_COMPLEX_REAL (x) == scm_big2dbl (y))
+ && (SCM_COMPLEX_IMAG (x) == 0.0));
+ } else if (SCM_REALP (y)) {
+ return SCM_BOOL ((SCM_COMPLEX_REAL (x) == SCM_REAL_VALUE (y))
+ && (SCM_COMPLEX_IMAG (x) == 0.0));
+ } else if (SCM_COMPLEXP (y)) {
+ return SCM_BOOL ((SCM_COMPLEX_REAL (x) == SCM_COMPLEX_REAL (y))
+ && (SCM_COMPLEX_IMAG (x) == SCM_COMPLEX_IMAG (y)));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARGn, s_eq_p);
}
- return SCM_BOOL((long) x == (long) y);
+ } else {
+ SCM_WTA_DISPATCH_2 (g_eq_p, x, y, SCM_ARG1, s_eq_p);
+ }
}
-
SCM_GPROC1 (s_less_p, "<", scm_tc7_rpsubr, scm_less_p, g_less_p);
-
+/* "Return @code{#t} if the list of parameters is monotonically\n"
+ * "increasing."
+ */
SCM
scm_less_p (SCM x, SCM y)
{
- if (SCM_NINUMP (x))
- {
-#ifdef SCM_BIGDIG
- if (!SCM_NIMP (x))
- {
- badx:
- SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARG1, s_less_p);
- }
- if (SCM_BIGP (x))
- {
- if (SCM_INUMP (y))
- return SCM_BOOL(SCM_BIGSIGN (x));
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- return SCM_BOOL(1 == scm_bigcomp (x, y));
- SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady);
- return ((scm_big2dbl (x) < SCM_REALPART (y))
- ? SCM_BOOL_T
- : SCM_BOOL_F);
- }
- SCM_ASRTGO (SCM_SLOPPY_REALP (x), badx);
-#else
- SCM_GASSERT2 (SCM_SLOPPY_REALP (x),
- g_less_p, x, y, SCM_ARG1, s_less_p);
-#endif
- if (SCM_INUMP (y))
- return ((SCM_REALPART (x) < ((double) SCM_INUM (y)))
- ? SCM_BOOL_T
- : SCM_BOOL_F);
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- return SCM_BOOL(SCM_REALPART (x) < scm_big2dbl (y));
- SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady);
-#else
- SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady);
-#endif
- return SCM_BOOL(SCM_REALPART (x) < SCM_REALPART (y));
- }
- if (SCM_NINUMP (y))
- {
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- return SCM_NEGATE_BOOL(SCM_BIGSIGN (y));
- if (!SCM_SLOPPY_REALP (y))
- {
- bady:
- SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARGn, s_less_p);
- }
-#else
- if (!SCM_SLOPPY_REALP (y))
- {
- bady:
- SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARGn, s_less_p);
- }
-#endif
- return ((((double) SCM_INUM (x)) < SCM_REALPART (y))
- ? SCM_BOOL_T
- : SCM_BOOL_F);
+ if (SCM_INUMP (x)) {
+ long xx = SCM_INUM (x);
+ if (SCM_INUMP (y)) {
+ long yy = SCM_INUM (y);
+ return SCM_BOOL (xx < yy);
+ } else if (SCM_BIGP (y)) {
+ return SCM_BOOL (!SCM_BIGSIGN (y));
+ } else if (SCM_REALP (y)) {
+ return SCM_BOOL ((double) xx < SCM_REAL_VALUE (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARGn, s_less_p);
}
- return SCM_BOOL((long) x < (long) y);
+ } else if (SCM_BIGP (x)) {
+ if (SCM_INUMP (y)) {
+ return SCM_BOOL (SCM_BIGSIGN (x));
+ } else if (SCM_BIGP (y)) {
+ return SCM_BOOL (1 == scm_bigcomp (x, y));
+ } else if (SCM_REALP (y)) {
+ return SCM_BOOL (scm_big2dbl (x) < SCM_REAL_VALUE (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARGn, s_less_p);
+ }
+ } else if (SCM_REALP (x)) {
+ if (SCM_INUMP (y)) {
+ return SCM_BOOL (SCM_REAL_VALUE (x) < (double) SCM_INUM (y));
+ } else if (SCM_BIGP (y)) {
+ return SCM_BOOL (SCM_REAL_VALUE (x) < scm_big2dbl (y));
+ } else if (SCM_REALP (y)) {
+ return SCM_BOOL (SCM_REAL_VALUE (x) < SCM_REAL_VALUE (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARGn, s_less_p);
+ }
+ } else {
+ SCM_WTA_DISPATCH_2 (g_less_p, x, y, SCM_ARG1, s_less_p);
+ }
}
-SCM_DEFINE1 (scm_gr_p, ">", scm_tc7_rpsubr,
- (SCM x, SCM y),
- "")
+SCM_GPROC1 (s_scm_gr_p, ">", scm_tc7_rpsubr, scm_gr_p, g_gr_p);
+/* "Return @code{#t} if the list of parameters is monotonically\n"
+ * "decreasing."
+ */
#define FUNC_NAME s_scm_gr_p
+SCM
+scm_gr_p (SCM x, SCM y)
{
- return scm_less_p (y, x);
+ if (!SCM_NUMBERP (x))
+ SCM_WTA_DISPATCH_2 (g_gr_p, x, y, SCM_ARG1, FUNC_NAME);
+ else if (!SCM_NUMBERP (y))
+ SCM_WTA_DISPATCH_2 (g_gr_p, x, y, SCM_ARG2, FUNC_NAME);
+ else
+ return scm_less_p (y, x);
}
#undef FUNC_NAME
-
-SCM_DEFINE1 (scm_leq_p, "<=", scm_tc7_rpsubr,
- (SCM x, SCM y),
- "")
+SCM_GPROC1 (s_scm_leq_p, "<=", scm_tc7_rpsubr, scm_leq_p, g_leq_p);
+/* "Return @code{#t} if the list of parameters is monotonically\n"
+ * "non-decreasing."
+ */
#define FUNC_NAME s_scm_leq_p
+SCM
+scm_leq_p (SCM x, SCM y)
{
- return SCM_BOOL_NOT (scm_less_p (y, x));
+ if (!SCM_NUMBERP (x))
+ SCM_WTA_DISPATCH_2 (g_leq_p, x, y, SCM_ARG1, FUNC_NAME);
+ else if (!SCM_NUMBERP (y))
+ SCM_WTA_DISPATCH_2 (g_leq_p, x, y, SCM_ARG2, FUNC_NAME);
+ else
+ return SCM_BOOL_NOT (scm_less_p (y, x));
}
#undef FUNC_NAME
-
-SCM_DEFINE1 (scm_geq_p, ">=", scm_tc7_rpsubr,
- (SCM x, SCM y),
- "")
+SCM_GPROC1 (s_scm_geq_p, ">=", scm_tc7_rpsubr, scm_geq_p, g_geq_p);
+/* "Return @code{#t} if the list of parameters is monotonically\n"
+ * "non-increasing."
+ */
#define FUNC_NAME s_scm_geq_p
+SCM
+scm_geq_p (SCM x, SCM y)
{
+ if (!SCM_NUMBERP (x))
+ SCM_WTA_DISPATCH_2 (g_geq_p, x, y, SCM_ARG1, FUNC_NAME);
+ else if (!SCM_NUMBERP (y))
+ SCM_WTA_DISPATCH_2 (g_geq_p, x, y, SCM_ARG2, FUNC_NAME);
+ else
return SCM_BOOL_NOT (scm_less_p (x, y));
}
#undef FUNC_NAME
-
SCM_GPROC (s_zero_p, "zero?", 1, 0, 0, scm_zero_p, g_zero_p);
-
+/* "Return @code{#t} if @var{z} is an exact or inexact number equal to\n"
+ * "zero."
+ */
SCM
scm_zero_p (SCM z)
{
- if (SCM_NINUMP (z))
- {
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (z), badz);
- if (SCM_BIGP (z))
- return SCM_BOOL_F;
- if (!SCM_SLOPPY_INEXACTP (z))
- {
- badz:
- SCM_WTA_DISPATCH_1 (g_zero_p, z, SCM_ARG1, s_zero_p);
- }
-#else
- SCM_GASSERT1 (SCM_SLOPPY_INEXACTP (z),
- g_zero_p, z, SCM_ARG1, s_zero_p);
-#endif
- if (SCM_SLOPPY_REALP (z))
- return SCM_BOOL (SCM_REAL_VALUE (z) == 0.0);
- else
- return SCM_BOOL (SCM_COMPLEX_REAL (z) == 0.0
- && SCM_COMPLEX_IMAG (z) == 0.0);
- }
- return SCM_BOOL (SCM_EQ_P (z, SCM_INUM0));
+ if (SCM_INUMP (z)) {
+ return SCM_BOOL (SCM_EQ_P (z, SCM_INUM0));
+ } else if (SCM_BIGP (z)) {
+ return SCM_BOOL_F;
+ } else if (SCM_REALP (z)) {
+ return SCM_BOOL (SCM_REAL_VALUE (z) == 0.0);
+ } else if (SCM_COMPLEXP (z)) {
+ return SCM_BOOL (SCM_COMPLEX_REAL (z) == 0.0
+ && SCM_COMPLEX_IMAG (z) == 0.0);
+ } else {
+ SCM_WTA_DISPATCH_1 (g_zero_p, z, SCM_ARG1, s_zero_p);
+ }
}
-
SCM_GPROC (s_positive_p, "positive?", 1, 0, 0, scm_positive_p, g_positive_p);
-
+/* "Return @code{#t} if @var{x} is an exact or inexact number greater than\n"
+ * "zero."
+ */
SCM
scm_positive_p (SCM x)
{
- if (SCM_NINUMP (x))
- {
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (x), badx);
- if (SCM_BIGP (x))
- return SCM_BOOL (!SCM_BIGSIGN (x));
- if (!SCM_SLOPPY_REALP (x))
- {
- badx:
- SCM_WTA_DISPATCH_1 (g_positive_p, x, SCM_ARG1, s_positive_p);
- }
-#else
- SCM_GASSERT1 (SCM_SLOPPY_REALP (x),
- g_positive_p, x, SCM_ARG1, s_positive_p);
-#endif
- return SCM_BOOL(SCM_REALPART (x) > 0.0);
- }
- return SCM_BOOL(SCM_INUM(x) > 0);
+ if (SCM_INUMP (x)) {
+ return SCM_BOOL (SCM_INUM (x) > 0);
+ } else if (SCM_BIGP (x)) {
+ return SCM_BOOL (!SCM_BIGSIGN (x));
+ } else if (SCM_REALP (x)) {
+ return SCM_BOOL(SCM_REAL_VALUE (x) > 0.0);
+ } else {
+ SCM_WTA_DISPATCH_1 (g_positive_p, x, SCM_ARG1, s_positive_p);
+ }
}
-
SCM_GPROC (s_negative_p, "negative?", 1, 0, 0, scm_negative_p, g_negative_p);
-
+/* "Return @code{#t} if @var{x} is an exact or inexact number less than\n"
+ * "zero."
+ */
SCM
scm_negative_p (SCM x)
{
- if (SCM_NINUMP (x))
- {
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (x), badx);
- if (SCM_BIGP (x))
- return SCM_BOOL (SCM_BIGSIGN (x));
- if (!(SCM_SLOPPY_REALP (x)))
- {
- badx:
- SCM_WTA_DISPATCH_1 (g_negative_p, x, SCM_ARG1, s_negative_p);
- }
-#else
- SCM_GASSERT1 (SCM_SLOPPY_REALP (x),
- g_negative_p, x, SCM_ARG1, s_negative_p);
-#endif
- return SCM_BOOL(SCM_REALPART (x) < 0.0);
- }
- return SCM_BOOL(SCM_INUM(x) < 0);
+ if (SCM_INUMP (x)) {
+ return SCM_BOOL (SCM_INUM (x) < 0);
+ } else if (SCM_BIGP (x)) {
+ return SCM_BOOL (SCM_BIGSIGN (x));
+ } else if (SCM_REALP (x)) {
+ return SCM_BOOL(SCM_REAL_VALUE (x) < 0.0);
+ } else {
+ SCM_WTA_DISPATCH_1 (g_negative_p, x, SCM_ARG1, s_negative_p);
+ }
}
SCM_GPROC1 (s_max, "max", scm_tc7_asubr, scm_max, g_max);
-
+/* "Return the maximum of all parameter values."
+ */
SCM
scm_max (SCM x, SCM y)
{
- double z;
- if (SCM_UNBNDP (y))
- {
- SCM_GASSERT0 (!SCM_UNBNDP (x),
- g_max, scm_makfrom0str (s_max), SCM_WNA, 0);
- SCM_GASSERT1 (SCM_NUMBERP (x), g_max, x, SCM_ARG1, s_max);
+ if (SCM_UNBNDP (y)) {
+ if (SCM_UNBNDP (x)) {
+ SCM_WTA_DISPATCH_0 (g_max, x, SCM_ARG1, s_max);
+ } else if (SCM_NUMBERP (x)) {
return x;
+ } else {
+ SCM_WTA_DISPATCH_1 (g_max, x, SCM_ARG1, s_max);
}
- if (SCM_NINUMP (x))
- {
-#ifdef SCM_BIGDIG
- if (!SCM_NIMP (x))
- {
- badx2:
- SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARG1, s_max);
- }
- if (SCM_BIGP (x))
- {
- if (SCM_INUMP (y))
- return SCM_BIGSIGN (x) ? y : x;
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- return (1 == scm_bigcomp (x, y)) ? y : x;
- SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady);
- z = scm_big2dbl (x);
- return (z < SCM_REALPART (y)) ? y : scm_makdbl (z, 0.0);
- }
- SCM_ASRTGO (SCM_SLOPPY_REALP (x), badx2);
-#else
- SCM_GASSERT2 (SCM_SLOPPY_REALP (x),
- g_max, x, y, SCM_ARG1, s_max);
-#endif
- if (SCM_INUMP (y))
- return ((SCM_REALPART (x) < (z = SCM_INUM (y)))
- ? scm_makdbl (z, 0.0)
- : x);
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- return ((SCM_REALPART (x) < (z = scm_big2dbl (y)))
- ? scm_makdbl (z, 0.0)
- : x);
- SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady);
-#else
- SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady);
-#endif
- return (SCM_REALPART (x) < SCM_REALPART (y)) ? y : x;
+ }
+
+ if (SCM_INUMP (x)) {
+ long xx = SCM_INUM (x);
+ if (SCM_INUMP (y)) {
+ long yy = SCM_INUM (y);
+ return (xx < yy) ? y : x;
+ } else if (SCM_BIGP (y)) {
+ return SCM_BIGSIGN (y) ? x : y;
+ } else if (SCM_REALP (y)) {
+ double z = xx;
+ return (z <= SCM_REAL_VALUE (y)) ? y : scm_make_real (z);
+ } else {
+ SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARGn, s_max);
}
- if (SCM_NINUMP (y))
- {
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- return SCM_BIGSIGN (y) ? x : y;
- if (!(SCM_SLOPPY_REALP (y)))
- {
- bady:
- SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARGn, s_max);
- }
-#else
- if (!SCM_SLOPPY_REALP (y))
- {
- bady:
- SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARGn, s_max);
- }
-#endif
- return (((z = SCM_INUM (x)) < SCM_REALPART (y))
- ? y
- : scm_makdbl (z, 0.0));
+ } else if (SCM_BIGP (x)) {
+ if (SCM_INUMP (y)) {
+ return SCM_BIGSIGN (x) ? y : x;
+ } else if (SCM_BIGP (y)) {
+ return (1 == scm_bigcomp (x, y)) ? y : x;
+ } else if (SCM_REALP (y)) {
+ double z = scm_big2dbl (x);
+ return (z <= SCM_REAL_VALUE (y)) ? y : scm_make_real (z);
+ } else {
+ SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARGn, s_max);
+ }
+ } else if (SCM_REALP (x)) {
+ if (SCM_INUMP (y)) {
+ double z = SCM_INUM (y);
+ return (SCM_REAL_VALUE (x) < z) ? scm_make_real (z) : x;
+ } else if (SCM_BIGP (y)) {
+ double z = scm_big2dbl (y);
+ return (SCM_REAL_VALUE (x) < z) ? scm_make_real (z) : x;
+ } else if (SCM_REALP (y)) {
+ return (SCM_REAL_VALUE (x) < SCM_REAL_VALUE (y)) ? y : x;
+ } else {
+ SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARGn, s_max);
}
- return ((long) x < (long) y) ? y : x;
+ } else {
+ SCM_WTA_DISPATCH_2 (g_max, x, y, SCM_ARG1, s_max);
+ }
}
-#define SCM_SWAP(x,y) do { SCM t = x; x = y; y = t; } while (0)
-
-
-
SCM_GPROC1 (s_min, "min", scm_tc7_asubr, scm_min, g_min);
-
+/* "Return the minium of all parameter values."
+ */
SCM
scm_min (SCM x, SCM y)
{
- double z;
- if (SCM_UNBNDP (y))
- {
- SCM_GASSERT0 (!SCM_UNBNDP (x),
- g_min, scm_makfrom0str (s_min), SCM_WNA, 0);
- SCM_GASSERT1 (SCM_NUMBERP (x), g_min, x, SCM_ARG1, s_min);
+ if (SCM_UNBNDP (y)) {
+ if (SCM_UNBNDP (x)) {
+ SCM_WTA_DISPATCH_0 (g_min, x, SCM_ARG1, s_min);
+ } else if (SCM_NUMBERP (x)) {
return x;
+ } else {
+ SCM_WTA_DISPATCH_1 (g_min, x, SCM_ARG1, s_min);
}
- if (SCM_NINUMP (x))
- {
-#ifdef SCM_BIGDIG
- if (!SCM_NIMP (x))
- {
- badx2:
- SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARG1, s_min);
- }
- if (SCM_BIGP (x))
- {
- if (SCM_INUMP (y))
- return SCM_BIGSIGN (x) ? x : y;
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- return (-1 == scm_bigcomp (x, y)) ? y : x;
- SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady);
- z = scm_big2dbl (x);
- return (z > SCM_REALPART (y)) ? y : scm_makdbl (z, 0.0);
- }
- SCM_ASRTGO (SCM_SLOPPY_REALP (x), badx2);
-#else
- SCM_GASSERT2 (SCM_SLOPPY_REALP (x),
- g_min, x, y, SCM_ARG1, s_min);
-#endif
- if (SCM_INUMP (y))
- return ((SCM_REALPART (x) > (z = SCM_INUM (y)))
- ? scm_makdbl (z, 0.0)
- : x);
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- return ((SCM_REALPART (x) > (z = scm_big2dbl (y)))
- ? scm_makdbl (z, 0.0)
- : x);
- SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady);
-#else
- SCM_ASRTGO (SCM_SLOPPY_REALP (y), bady);
-#endif
- return (SCM_REALPART (x) > SCM_REALPART (y)) ? y : x;
+ }
+
+ if (SCM_INUMP (x)) {
+ long xx = SCM_INUM (x);
+ if (SCM_INUMP (y)) {
+ long yy = SCM_INUM (y);
+ return (xx < yy) ? x : y;
+ } else if (SCM_BIGP (y)) {
+ return SCM_BIGSIGN (y) ? y : x;
+ } else if (SCM_REALP (y)) {
+ double z = xx;
+ return (z < SCM_REAL_VALUE (y)) ? scm_make_real (z) : y;
+ } else {
+ SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARGn, s_min);
}
- if (SCM_NINUMP (y))
- {
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- return SCM_BIGSIGN (y) ? y : x;
- if (!(SCM_SLOPPY_REALP (y)))
- {
- bady:
- SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARGn, s_min);
- }
-#else
- if (!SCM_SLOPPY_REALP (y))
- {
- bady:
- SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARGn, s_min);
- }
-#endif
- return (((z = SCM_INUM (x)) > SCM_REALPART (y))
- ? y
- : scm_makdbl (z, 0.0));
+ } else if (SCM_BIGP (x)) {
+ if (SCM_INUMP (y)) {
+ return SCM_BIGSIGN (x) ? x : y;
+ } else if (SCM_BIGP (y)) {
+ return (-1 == scm_bigcomp (x, y)) ? y : x;
+ } else if (SCM_REALP (y)) {
+ double z = scm_big2dbl (x);
+ return (z < SCM_REAL_VALUE (y)) ? scm_make_real (z) : y;
+ } else {
+ SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARGn, s_min);
+ }
+ } else if (SCM_REALP (x)) {
+ if (SCM_INUMP (y)) {
+ double z = SCM_INUM (y);
+ return (SCM_REAL_VALUE (x) <= z) ? x : scm_make_real (z);
+ } else if (SCM_BIGP (y)) {
+ double z = scm_big2dbl (y);
+ return (SCM_REAL_VALUE (x) <= z) ? x : scm_make_real (z);
+ } else if (SCM_REALP (y)) {
+ return (SCM_REAL_VALUE (x) < SCM_REAL_VALUE (y)) ? x : y;
+ } else {
+ SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARGn, s_min);
}
- return ((long) x > (long) y) ? y : x;
+ } else {
+ SCM_WTA_DISPATCH_2 (g_min, x, y, SCM_ARG1, s_min);
+ }
}
-
-
SCM_GPROC1 (s_sum, "+", scm_tc7_asubr, scm_sum, g_sum);
-
-/*
- This is sick, sick, sick code.
-
+/* "Return the sum of all parameter values. Return 0 if called without\n"
+ * "any parameters."
*/
SCM
scm_sum (SCM x, SCM y)
{
- if (SCM_UNBNDP (y))
- {
- if (SCM_UNBNDP (x))
- return SCM_INUM0;
- SCM_GASSERT1 (SCM_NUMBERP (x), g_sum, x, SCM_ARG1, s_sum);
+ if (SCM_UNBNDP (y)) {
+ if (SCM_UNBNDP (x)) {
+ return SCM_INUM0;
+ } else if (SCM_NUMBERP (x)) {
return x;
+ } else {
+ SCM_WTA_DISPATCH_1 (g_sum, x, SCM_ARG1, s_sum);
}
- if (SCM_NINUMP (x))
- {
-# ifdef SCM_BIGDIG
- if (!SCM_NIMP (x))
- {
- badx2:
- SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARG1, s_sum);
- }
- if (SCM_BIGP (x))
- {
- if (SCM_INUMP (y))
- {
- SCM_SWAP(x,y);
- goto intbig;
- }
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- {
- if (SCM_NUMDIGS (x) > SCM_NUMDIGS (y))
- {
- SCM_SWAP(x,y);
- }
- return scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
- SCM_BIGSIGN (x),
- y, 0);
- }
- SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady);
- bigreal:
- if (SCM_SLOPPY_REALP (y))
- return scm_make_real (scm_big2dbl (x) + SCM_REAL_VALUE (y));
- else
- return scm_make_complex (scm_big2dbl (x) + SCM_COMPLEX_REAL (y),
- SCM_COMPLEX_IMAG (y));
- }
-# endif /* SCM_BIGDIG */
- SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx2);
+ }
- if (SCM_INUMP (y))
- {
- SCM_SWAP(x,y);
- goto intreal;
- }
-# ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- {
- SCM_SWAP(x,y);
- goto bigreal;
- }
- else if (!SCM_SLOPPY_INEXACTP (y))
- {
- bady:
- SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum);
- }
-# else /* SCM_BIGDIG */
- if (!SCM_SLOPPY_INEXACTP (y))
- {
- bady:
- SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum);
- }
-# endif /* SCM_BIGDIG */
+ if (SCM_INUMP (x)) {
+ long int xx = SCM_INUM (x);
+ if (SCM_INUMP (y)) {
+ long int yy = SCM_INUM (y);
+ long int z = xx + yy;
+ if (SCM_FIXABLE (z)) {
+ return SCM_MAKINUM (z);
+ } else {
+#ifdef SCM_BIGDIG
+ return scm_long2big (z);
+#else /* SCM_BIGDIG */
+ return scm_make_real ((double) z);
+#endif /* SCM_BIGDIG */
+ }
+ } else if (SCM_BIGP (y)) {
+ intbig:
{
- double i = 0.0;
- if (SCM_SLOPPY_COMPLEXP (x))
- i = SCM_COMPLEX_IMAG (x);
- if (SCM_SLOPPY_COMPLEXP (y))
- i += SCM_COMPLEX_IMAG (y);
- return scm_makdbl (SCM_REALPART (x) + SCM_REALPART (y), i);
+ long int xx = SCM_INUM (x);
+#ifndef SCM_DIGSTOOBIG
+ long z = scm_pseudolong (xx);
+ return scm_addbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG,
+ (xx < 0) ? SCM_BIGSIGNFLAG : 0, y, 0);
+#else /* SCM_DIGSTOOBIG */
+ SCM_BIGDIG zdigs [SCM_DIGSPERLONG];
+ scm_longdigs (xx, zdigs);
+ return scm_addbig (zdigs, SCM_DIGSPERLONG,
+ (xx < 0) ? SCM_BIGSIGNFLAG : 0, y, 0);
+#endif /* SCM_DIGSTOOBIG */
}
+ } else if (SCM_REALP (y)) {
+ return scm_make_real (xx + SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ return scm_make_complex (xx + SCM_COMPLEX_REAL (y),
+ SCM_COMPLEX_IMAG (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum);
}
- if (SCM_NINUMP (y))
- {
-# ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- {
- intbig:
- {
- long i = SCM_INUM (x);
-# ifndef SCM_DIGSTOOBIG
- long z = scm_pseudolong (i);
- return scm_addbig ((SCM_BIGDIG *) & z,
- SCM_DIGSPERLONG,
- (i < 0) ? SCM_BIGSIGNFLAG : 0,
- y, 0);
-# else /* SCM_DIGSTOOBIG */
- SCM_BIGDIG zdigs[SCM_DIGSPERLONG];
- scm_longdigs (i, zdigs);
- return scm_addbig (zdigs, SCM_DIGSPERLONG, (i < 0) ? SCM_BIGSIGNFLAG : 0,
- y, 0);
-# endif /* SCM_DIGSTOOBIG */
- }
- }
-# endif /* SCM_BIGDIG */
- SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady);
- intreal:
- if (SCM_REALP (y))
- return scm_make_real (SCM_INUM (x) + SCM_REAL_VALUE (y));
- else
- return scm_make_complex (SCM_INUM (x) + SCM_COMPLEX_REAL (y),
- SCM_COMPLEX_IMAG (y));
+ } else if (SCM_BIGP (x)) {
+ if (SCM_INUMP (y)) {
+ SCM_SWAP (x, y);
+ goto intbig;
+ } else if (SCM_BIGP (y)) {
+ if (SCM_NUMDIGS (x) > SCM_NUMDIGS (y)) {
+ SCM_SWAP (x, y);
+ }
+ return scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
+ SCM_BIGSIGN (x), y, 0);
+ } else if (SCM_REALP (y)) {
+ return scm_make_real (scm_big2dbl (x) + SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ return scm_make_complex (scm_big2dbl (x) + SCM_COMPLEX_REAL (y),
+ SCM_COMPLEX_IMAG (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum);
}
- { /* scope */
- long int i = SCM_INUM (x) + SCM_INUM (y);
- if (SCM_FIXABLE (i))
- return SCM_MAKINUM (i);
-#ifdef SCM_BIGDIG
- return scm_long2big (i);
-#else /* SCM_BIGDIG */
- return scm_makdbl ((double) i, 0.0);
-#endif /* SCM_BIGDIG */
- } /* end scope */
+ } else if (SCM_REALP (x)) {
+ if (SCM_INUMP (y)) {
+ return scm_make_real (SCM_REAL_VALUE (x) + SCM_INUM (y));
+ } else if (SCM_BIGP (y)) {
+ return scm_make_real (SCM_REAL_VALUE (x) + scm_big2dbl (y));
+ } else if (SCM_REALP (y)) {
+ return scm_make_real (SCM_REAL_VALUE (x) + SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ return scm_make_complex (SCM_REAL_VALUE (x) + SCM_COMPLEX_REAL (y),
+ SCM_COMPLEX_IMAG (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum);
+ }
+ } else if (SCM_COMPLEXP (x)) {
+ if (SCM_INUMP (y)) {
+ return scm_make_complex (SCM_COMPLEX_REAL (x) + SCM_INUM (y),
+ SCM_COMPLEX_IMAG (x));
+ } else if (SCM_BIGP (y)) {
+ return scm_make_complex (SCM_COMPLEX_REAL (x) + scm_big2dbl (y),
+ SCM_COMPLEX_IMAG (x));
+ } else if (SCM_REALP (y)) {
+ return scm_make_complex (SCM_COMPLEX_REAL (x) + SCM_REAL_VALUE (y),
+ SCM_COMPLEX_IMAG (x));
+ } else if (SCM_COMPLEXP (y)) {
+ return scm_make_complex (SCM_COMPLEX_REAL (x) + SCM_COMPLEX_REAL (y),
+ SCM_COMPLEX_IMAG (x) + SCM_COMPLEX_IMAG (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARGn, s_sum);
+ }
+ } else {
+ SCM_WTA_DISPATCH_2 (g_sum, x, y, SCM_ARG1, s_sum);
+ }
}
-
-
SCM_GPROC1 (s_difference, "-", scm_tc7_asubr, scm_difference, g_difference);
-
-/*
- HWN:FIXME:: This is sick,sick, sick code. Rewrite me.
-*/
+/* "If called without arguments, 0 is returned. Otherwise the sum of\n"
+ * "all but the first argument are subtracted from the first\n"
+ * "argument."
+ */
SCM
scm_difference (SCM x, SCM y)
{
- long int cx = 0;
- if (SCM_NINUMP (x))
- {
- if (!SCM_NIMP (x))
- {
- if (SCM_UNBNDP (y))
- {
- SCM_GASSERT0 (!SCM_UNBNDP (x), g_difference,
- scm_makfrom0str (s_difference), SCM_WNA, 0);
- badx:
- SCM_WTA_DISPATCH_1 (g_difference, x, SCM_ARG1, s_difference);
- }
- else
- {
- badx2:
- SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARG1, s_difference);
- }
- }
- if (SCM_UNBNDP (y))
- {
-#ifdef SCM_BIGDIG
- if (SCM_BIGP (x))
- {
- x = scm_copybig (x, !SCM_BIGSIGN (x));
- return (SCM_NUMDIGS (x) * SCM_BITSPERDIG / SCM_CHAR_BIT
- <= sizeof (SCM)
- ? scm_big2inum (x, SCM_NUMDIGS (x))
- : x);
- }
-#endif
- SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx);
- if (SCM_SLOPPY_REALP (x))
- return scm_make_real (- SCM_REAL_VALUE (x));
- else
- return scm_make_complex (- SCM_COMPLEX_REAL (x),
- - SCM_COMPLEX_IMAG (x));
- }
- if (SCM_INUMP (y))
- return scm_sum (x, SCM_MAKINUM (- SCM_INUM (y)));
+ if (SCM_UNBNDP (y)) {
+ if (SCM_INUMP (x)) {
+ long xx = -SCM_INUM (x);
+ if (SCM_FIXABLE (xx)) {
+ return SCM_MAKINUM (xx);
+ } else {
#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (x))
- {
- if (SCM_BIGP (y))
- return ((SCM_NUMDIGS (x) < SCM_NUMDIGS (y))
- ? scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
- SCM_BIGSIGN (x),
- y, SCM_BIGSIGNFLAG)
- : scm_addbig (SCM_BDIGITS (y), SCM_NUMDIGS (y),
- SCM_BIGSIGN (y) ^ SCM_BIGSIGNFLAG,
- x, 0));
- SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady);
- if (SCM_REALP (y))
- return scm_make_real (scm_big2dbl (x) - SCM_REAL_VALUE (y));
- else
- return scm_make_complex (scm_big2dbl (x) - SCM_COMPLEX_REAL (y),
- - SCM_COMPLEX_IMAG (y));
- }
- SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx2);
- if (SCM_BIGP (y))
- {
- if (SCM_REALP (x))
- return scm_make_real (SCM_REAL_VALUE (x) - scm_big2dbl (y));
- else
- return scm_make_complex (SCM_COMPLEX_REAL (x) - scm_big2dbl (y),
- SCM_COMPLEX_IMAG (x));
- }
- SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady);
+ return scm_long2big (xx);
#else
- SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx2);
- SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady);
+ return scm_make_real ((double) xx);
#endif
- {
- SCM z;
- if (SCM_SLOPPY_COMPLEXP (x))
- {
- if (SCM_SLOPPY_COMPLEXP (y))
- SCM_NEWCOMPLEX (z,
- SCM_COMPLEX_REAL (x) - SCM_COMPLEX_REAL (y),
- SCM_COMPLEX_IMAG (x) - SCM_COMPLEX_IMAG (y));
- else
- SCM_NEWCOMPLEX (z,
- SCM_COMPLEX_REAL (x) - SCM_REAL_VALUE (y),
- SCM_COMPLEX_IMAG (x));
- }
- else
- {
- if (SCM_SLOPPY_COMPLEXP (y))
- SCM_NEWCOMPLEX (z,
- SCM_REAL_VALUE (x) - SCM_COMPLEX_REAL (y),
- - SCM_COMPLEX_IMAG (y));
- else
- SCM_NEWREAL (z, SCM_REAL_VALUE (x) - SCM_REAL_VALUE (y));
- }
- return z;
}
+ } else if (SCM_BIGP (x)) {
+ SCM z = scm_copybig (x, !SCM_BIGSIGN (x));
+ unsigned int digs = SCM_NUMDIGS (z);
+ unsigned int size = digs * SCM_BITSPERDIG / SCM_CHAR_BIT;
+ return size <= sizeof (SCM) ? scm_big2inum (z, digs) : z;
+ } else if (SCM_REALP (x)) {
+ return scm_make_real (-SCM_REAL_VALUE (x));
+ } else if (SCM_COMPLEXP (x)) {
+ return scm_make_complex (-SCM_COMPLEX_REAL (x), -SCM_COMPLEX_IMAG (x));
+ } else {
+ SCM_WTA_DISPATCH_1 (g_difference, x, SCM_ARG1, s_difference);
}
- if (SCM_UNBNDP (y))
- {
- cx = -SCM_INUM (x);
- goto checkx;
- }
- if (SCM_NINUMP (y))
- {
+ }
+
+ if (SCM_INUMP (x)) {
+ long int xx = SCM_INUM (x);
+ if (SCM_INUMP (y)) {
+ long int yy = SCM_INUM (y);
+ long int z = xx - yy;
+ if (SCM_FIXABLE (z)) {
+ return SCM_MAKINUM (z);
+ } else {
#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- {
- long i = SCM_INUM (x);
-#ifndef SCM_DIGSTOOBIG
- long z = scm_pseudolong (i);
- return scm_addbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG,
- (i < 0) ? SCM_BIGSIGNFLAG : 0,
- y, SCM_BIGSIGNFLAG);
+ return scm_long2big (z);
#else
- SCM_BIGDIG zdigs[SCM_DIGSPERLONG];
- scm_longdigs (i, zdigs);
- return scm_addbig (zdigs, SCM_DIGSPERLONG, (i < 0) ? SCM_BIGSIGNFLAG : 0,
- y, SCM_BIGSIGNFLAG);
+ return scm_make_real ((double) z);
#endif
- }
- if (!SCM_SLOPPY_INEXACTP (y))
- {
- bady:
- SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference);
- }
+ }
+ } else if (SCM_BIGP (y)) {
+#ifndef SCM_DIGSTOOBIG
+ long z = scm_pseudolong (xx);
+ return scm_addbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG,
+ (xx < 0) ? SCM_BIGSIGNFLAG : 0, y, SCM_BIGSIGNFLAG);
#else
- if (!SCM_SLOPPY_INEXACTP (y))
- {
- bady:
- SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference);
- }
+ SCM_BIGDIG zdigs [SCM_DIGSPERLONG];
+ scm_longdigs (xx, zdigs);
+ return scm_addbig (zdigs, SCM_DIGSPERLONG,
+ (xx < 0) ? SCM_BIGSIGNFLAG : 0, y, SCM_BIGSIGNFLAG);
#endif
- return scm_makdbl (SCM_INUM (x) - SCM_REALPART (y),
- SCM_SLOPPY_COMPLEXP (y) ? -SCM_IMAG (y) : 0.0);
+ } else if (SCM_REALP (y)) {
+ return scm_make_real (xx - SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ return scm_make_complex (xx - SCM_COMPLEX_REAL (y),
+ -SCM_COMPLEX_IMAG (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference);
}
- cx = SCM_INUM (x) - SCM_INUM (y);
- checkx:
- if (SCM_FIXABLE (cx))
- return SCM_MAKINUM (cx);
-#ifdef SCM_BIGDIG
- return scm_long2big (cx);
+ } else if (SCM_BIGP (x)) {
+ if (SCM_INUMP (y)) {
+ long int yy = SCM_INUM (y);
+#ifndef SCM_DIGSTOOBIG
+ long z = scm_pseudolong (yy);
+ return scm_addbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG,
+ (yy < 0) ? 0 : SCM_BIGSIGNFLAG, x, 0);
#else
- return scm_makdbl ((double) cx, 0.0);
+ SCM_BIGDIG zdigs [SCM_DIGSPERLONG];
+ scm_longdigs (yy, zdigs);
+ return scm_addbig (zdigs, SCM_DIGSPERLONG,
+ (yy < 0) ? 0 : SCM_BIGSIGNFLAG, x, 0);
#endif
+ } else if (SCM_BIGP (y)) {
+ return (SCM_NUMDIGS (x) < SCM_NUMDIGS (y))
+ ? scm_addbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
+ SCM_BIGSIGN (x), y, SCM_BIGSIGNFLAG)
+ : scm_addbig (SCM_BDIGITS (y), SCM_NUMDIGS (y),
+ SCM_BIGSIGN (y) ^ SCM_BIGSIGNFLAG, x, 0);
+ } else if (SCM_REALP (y)) {
+ return scm_make_real (scm_big2dbl (x) - SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ return scm_make_complex (scm_big2dbl (x) - SCM_COMPLEX_REAL (y),
+ - SCM_COMPLEX_IMAG (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference);
+ }
+ } else if (SCM_REALP (x)) {
+ if (SCM_INUMP (y)) {
+ return scm_make_real (SCM_REAL_VALUE (x) - SCM_INUM (y));
+ } else if (SCM_BIGP (y)) {
+ return scm_make_real (SCM_REAL_VALUE (x) - scm_big2dbl (y));
+ } else if (SCM_REALP (y)) {
+ return scm_make_real (SCM_REAL_VALUE (x) - SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ return scm_make_complex (SCM_REAL_VALUE (x) - SCM_COMPLEX_REAL (y),
+ -SCM_COMPLEX_IMAG (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference);
+ }
+ } else if (SCM_COMPLEXP (x)) {
+ if (SCM_INUMP (y)) {
+ return scm_make_complex (SCM_COMPLEX_REAL (x) - SCM_INUM (y),
+ SCM_COMPLEX_IMAG (x));
+ } else if (SCM_BIGP (y)) {
+ return scm_make_complex (SCM_COMPLEX_REAL (x) - scm_big2dbl (y),
+ SCM_COMPLEX_IMAG (x));
+ } else if (SCM_REALP (y)) {
+ return scm_make_complex (SCM_COMPLEX_REAL (x) - SCM_REAL_VALUE (y),
+ SCM_COMPLEX_IMAG (x));
+ } else if (SCM_COMPLEXP (y)) {
+ return scm_make_complex (SCM_COMPLEX_REAL (x) - SCM_COMPLEX_REAL (y),
+ SCM_COMPLEX_IMAG (x) - SCM_COMPLEX_IMAG (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARGn, s_difference);
+ }
+ } else {
+ SCM_WTA_DISPATCH_2 (g_difference, x, y, SCM_ARG1, s_difference);
+ }
}
-
-
SCM_GPROC1 (s_product, "*", scm_tc7_asubr, scm_product, g_product);
-
+/* "Return the product of all arguments. If called without arguments,\n"
+ * "1 is returned."
+ */
SCM
scm_product (SCM x, SCM y)
{
- if (SCM_UNBNDP (y))
- {
- if (SCM_UNBNDP (x))
- return SCM_MAKINUM (1L);
- SCM_GASSERT1 (SCM_NUMBERP (x), g_product, x, SCM_ARG1, s_product);
+ if (SCM_UNBNDP (y)) {
+ if (SCM_UNBNDP (x)) {
+ return SCM_MAKINUM (1L);
+ } else if (SCM_NUMBERP (x)) {
return x;
+ } else {
+ SCM_WTA_DISPATCH_1 (g_product, x, SCM_ARG1, s_product);
}
- if (SCM_NINUMP (x))
- {
- SCM t;
-#ifdef SCM_BIGDIG
- if (!SCM_NIMP (x))
- {
- badx2:
- SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARG1, s_product);
- }
- if (SCM_BIGP (x))
- {
- if (SCM_INUMP (y))
- {
- t = x;
- x = y;
- y = t;
- goto intbig;
- }
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- return scm_mulbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
- SCM_BDIGITS (y), SCM_NUMDIGS (y),
- SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y));
- SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady);
- bigreal:
- {
- double bg = scm_big2dbl (x);
- return scm_makdbl (bg * SCM_REALPART (y),
- SCM_SLOPPY_COMPLEXP (y) ? bg * SCM_IMAG (y) : 0.0);
- }
- }
- SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx2);
-#else
- SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx2);
-#endif
- if (SCM_INUMP (y))
- {
- t = x;
- x = y;
- y = t;
- goto intreal;
- }
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- {
- t = x;
- x = y;
- y = t;
- goto bigreal;
- }
- else if (!(SCM_SLOPPY_INEXACTP (y)))
- {
- bady:
- SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product);
- }
-#else
- if (!SCM_SLOPPY_INEXACTP (y))
- {
- bady:
- SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product);
- }
-#endif
- if (SCM_SLOPPY_COMPLEXP (x))
- {
- if (SCM_SLOPPY_COMPLEXP (y))
- return scm_makdbl (SCM_REAL (x) * SCM_REAL (y)
- - SCM_IMAG (x) * SCM_IMAG (y),
- SCM_REAL (x) * SCM_IMAG (y)
- + SCM_IMAG (x) * SCM_REAL (y));
- else
- return scm_makdbl (SCM_REAL (x) * SCM_REALPART (y),
- SCM_IMAG (x) * SCM_REALPART (y));
- }
- return scm_makdbl (SCM_REALPART (x) * SCM_REALPART (y),
- SCM_SLOPPY_COMPLEXP (y)
- ? SCM_REALPART (x) * SCM_IMAG (y)
- : 0.0);
- }
- if (SCM_NINUMP (y))
- {
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- {
- intbig:
- if (SCM_EQ_P (x, SCM_INUM0))
- return x;
- if (SCM_EQ_P (x, SCM_MAKINUM (1L)))
- return y;
- {
-#ifndef SCM_DIGSTOOBIG
- long z = scm_pseudolong (SCM_INUM (x));
- return scm_mulbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG,
- SCM_BDIGITS (y), SCM_NUMDIGS (y),
- SCM_BIGSIGN (y) ? (x > 0) : (x < 0));
-#else
- SCM_BIGDIG zdigs[SCM_DIGSPERLONG];
- scm_longdigs (SCM_INUM (x), zdigs);
- return scm_mulbig (zdigs, SCM_DIGSPERLONG,
- SCM_BDIGITS (y), SCM_NUMDIGS (y),
- SCM_BIGSIGN (y) ? (x > 0) : (x < 0));
-#endif
- }
- }
- SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady);
-#else
- SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady);
-#endif
- intreal:
- return scm_makdbl (SCM_INUM (x) * SCM_REALPART (y),
- SCM_SLOPPY_COMPLEXP (y) ? SCM_INUM (x) * SCM_IMAG (y) : 0.0);
- }
- {
- long i, j, k;
- i = SCM_INUM (x);
- if (0 == i)
+ }
+
+ if (SCM_INUMP (x)) {
+ long xx;
+
+ intbig:
+ xx = SCM_INUM (x);
+
+ if (xx == 0) {
return x;
- j = SCM_INUM (y);
- k = i * j;
- y = SCM_MAKINUM (k);
- if (k != SCM_INUM (y) || k / i != j)
+ } else if (xx == 1) {
+ return y;
+ }
+
+ if (SCM_INUMP (y)) {
+ long yy = SCM_INUM (y);
+ long kk = xx * yy;
+ SCM k = SCM_MAKINUM (kk);
+ if (kk != SCM_INUM (k) || kk / xx != yy) {
#ifdef SCM_BIGDIG
- {
- int sgn = (i < 0) ^ (j < 0);
+ int sgn = (xx < 0) ^ (yy < 0);
#ifndef SCM_DIGSTOOBIG
- i = scm_pseudolong (i);
- j = scm_pseudolong (j);
+ long i = scm_pseudolong (xx);
+ long j = scm_pseudolong (yy);
return scm_mulbig ((SCM_BIGDIG *) & i, SCM_DIGSPERLONG,
(SCM_BIGDIG *) & j, SCM_DIGSPERLONG, sgn);
#else /* SCM_DIGSTOOBIG */
- SCM_BIGDIG idigs[SCM_DIGSPERLONG];
- SCM_BIGDIG jdigs[SCM_DIGSPERLONG];
- scm_longdigs (i, idigs);
- scm_longdigs (j, jdigs);
- return scm_mulbig (idigs, SCM_DIGSPERLONG,
- jdigs, SCM_DIGSPERLONG,
+ SCM_BIGDIG xdigs [SCM_DIGSPERLONG];
+ SCM_BIGDIG ydigs [SCM_DIGSPERLONG];
+ scm_longdigs (xx, xdigs);
+ scm_longdigs (yy, ydigs);
+ return scm_mulbig (xdigs, SCM_DIGSPERLONG,
+ ydigs, SCM_DIGSPERLONG,
sgn);
#endif
+#else
+ return scm_make_real (((double) xx) * ((double) yy));
+#endif
+ } else {
+ return k;
}
+ } else if (SCM_BIGP (y)) {
+#ifndef SCM_DIGSTOOBIG
+ long z = scm_pseudolong (xx);
+ return scm_mulbig ((SCM_BIGDIG *) & z, SCM_DIGSPERLONG,
+ SCM_BDIGITS (y), SCM_NUMDIGS (y),
+ SCM_BIGSIGN (y) ? (xx > 0) : (xx < 0));
#else
- return scm_makdbl (((double) i) * ((double) j), 0.0);
+ SCM_BIGDIG zdigs [SCM_DIGSPERLONG];
+ scm_longdigs (xx, zdigs);
+ return scm_mulbig (zdigs, SCM_DIGSPERLONG,
+ SCM_BDIGITS (y), SCM_NUMDIGS (y),
+ SCM_BIGSIGN (y) ? (xx > 0) : (xx < 0));
#endif
- return y;
+ } else if (SCM_REALP (y)) {
+ return scm_make_real (xx * SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ return scm_make_complex (xx * SCM_COMPLEX_REAL (y),
+ xx * SCM_COMPLEX_IMAG (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product);
+ }
+ } else if (SCM_BIGP (x)) {
+ if (SCM_INUMP (y)) {
+ SCM_SWAP (x, y);
+ goto intbig;
+ } else if (SCM_BIGP (y)) {
+ return scm_mulbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
+ SCM_BDIGITS (y), SCM_NUMDIGS (y),
+ SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y));
+ } else if (SCM_REALP (y)) {
+ return scm_make_real (scm_big2dbl (x) * SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ double z = scm_big2dbl (x);
+ return scm_make_complex (z * SCM_COMPLEX_REAL (y),
+ z * SCM_COMPLEX_IMAG (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product);
+ }
+ } else if (SCM_REALP (x)) {
+ if (SCM_INUMP (y)) {
+ return scm_make_real (SCM_INUM (y) * SCM_REAL_VALUE (x));
+ } else if (SCM_BIGP (y)) {
+ return scm_make_real (scm_big2dbl (y) * SCM_REAL_VALUE (x));
+ } else if (SCM_REALP (y)) {
+ return scm_make_real (SCM_REAL_VALUE (x) * SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ return scm_make_complex (SCM_REAL_VALUE (x) * SCM_COMPLEX_REAL (y),
+ SCM_REAL_VALUE (x) * SCM_COMPLEX_IMAG (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product);
+ }
+ } else if (SCM_COMPLEXP (x)) {
+ if (SCM_INUMP (y)) {
+ return scm_make_complex (SCM_INUM (y) * SCM_COMPLEX_REAL (x),
+ SCM_INUM (y) * SCM_COMPLEX_IMAG (x));
+ } else if (SCM_BIGP (y)) {
+ double z = scm_big2dbl (y);
+ return scm_make_complex (z * SCM_COMPLEX_REAL (x),
+ z * SCM_COMPLEX_IMAG (x));
+ } else if (SCM_REALP (y)) {
+ return scm_make_complex (SCM_REAL_VALUE (y) * SCM_COMPLEX_REAL (x),
+ SCM_REAL_VALUE (y) * SCM_COMPLEX_IMAG (x));
+ } else if (SCM_COMPLEXP (y)) {
+ return scm_make_complex (SCM_COMPLEX_REAL (x) * SCM_COMPLEX_REAL (y)
+ - SCM_COMPLEX_IMAG (x) * SCM_COMPLEX_IMAG (y),
+ SCM_COMPLEX_REAL (x) * SCM_COMPLEX_IMAG (y)
+ + SCM_COMPLEX_IMAG (x) * SCM_COMPLEX_REAL (y));
+ } else {
+ SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARGn, s_product);
+ }
+ } else {
+ SCM_WTA_DISPATCH_2 (g_product, x, y, SCM_ARG1, s_product);
}
}
-
double
scm_num2dbl (SCM a, const char *why)
+#define FUNC_NAME why
{
- if (SCM_INUMP (a))
+ if (SCM_INUMP (a)) {
return (double) SCM_INUM (a);
- SCM_ASSERT (SCM_NIMP (a), a, "wrong type argument", why);
- if (SCM_SLOPPY_REALP (a))
- return (SCM_REALPART (a));
-#ifdef SCM_BIGDIG
- return scm_big2dbl (a);
-#endif
- SCM_ASSERT (0, a, "wrong type argument", why);
- /*
- unreachable, hopefully.
- */
- return (double) 0.0; /* ugh. */
- /* return SCM_UNSPECIFIED; */
+ } else if (SCM_BIGP (a)) {
+ return scm_big2dbl (a);
+ } else if (SCM_REALP (a)) {
+ return (SCM_REAL_VALUE (a));
+ } else {
+ SCM_WRONG_TYPE_ARG (SCM_ARGn, a);
+ }
}
+#undef FUNC_NAME
SCM_GPROC1 (s_divide, "/", scm_tc7_asubr, scm_divide, g_divide);
-
+/* "Divide the first argument by the product of the remaining arguments."
+ */
SCM
scm_divide (SCM x, SCM y)
{
- double d, r, i, a;
- if (SCM_NINUMP (x))
- {
- if (!(SCM_NIMP (x)))
- {
- if (SCM_UNBNDP (y))
- {
- SCM_GASSERT0 (!SCM_UNBNDP (x),
- g_divide, scm_makfrom0str (s_divide), SCM_WNA, 0);
- badx:
- SCM_WTA_DISPATCH_1 (g_divide, x, SCM_ARG1, s_divide);
- }
- else
- {
- badx2:
- SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARG1, s_divide);
- }
- }
- if (SCM_UNBNDP (y))
- {
-#ifdef SCM_BIGDIG
- if (SCM_BIGP (x))
- return scm_makdbl (1.0 / scm_big2dbl (x), 0.0);
-#endif
- SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx);
- if (SCM_SLOPPY_REALP (x))
- return scm_makdbl (1.0 / SCM_REALPART (x), 0.0);
- r = SCM_REAL (x);
- i = SCM_IMAG (x);
- d = r * r + i * i;
- return scm_makdbl (r / d, -i / d);
- }
-#ifdef SCM_BIGDIG
- if (SCM_BIGP (x))
- {
- if (SCM_INUMP (y))
- {
- long int z = SCM_INUM (y);
-#ifndef SCM_RECKLESS
- if (!z)
- scm_num_overflow (s_divide);
-#endif
- if (1 == z)
- return x;
- if (z < 0)
- z = -z;
- if (z < SCM_BIGRAD)
- {
- SCM w = scm_copybig (x, SCM_BIGSIGN (x) ? (y > 0) : (y < 0));
- return (scm_divbigdig (SCM_BDIGITS (w), SCM_NUMDIGS (w),
- (SCM_BIGDIG) z)
- ? scm_makdbl (scm_big2dbl (x) / SCM_INUM (y), 0.0)
- : scm_normbig (w));
- }
-#ifndef SCM_DIGSTOOBIG
- /*ugh! Does anyone know what this is supposed to do?*/
- z = scm_pseudolong (z);
- z = SCM_INUM(scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
- (SCM_BIGDIG *) & z, SCM_DIGSPERLONG,
- SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 3));
-#else
- {
- SCM_BIGDIG zdigs[SCM_DIGSPERLONG];
- scm_longdigs (z, zdigs);
- z = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
- zdigs, SCM_DIGSPERLONG,
- SCM_BIGSIGN (x) ? (y > 0) : (y < 0), 3);
- }
-#endif
- return z ? SCM_PACK (z) : scm_makdbl (scm_big2dbl (x) / SCM_INUM (y), 0.0);
- }
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- {
- SCM z = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
- SCM_BDIGITS (y), SCM_NUMDIGS (y),
- SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y), 3);
- return z ? z : scm_makdbl (scm_big2dbl (x) / scm_big2dbl (y),
- 0.0);
- }
- SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady);
- if (SCM_SLOPPY_REALP (y))
- return scm_makdbl (scm_big2dbl (x) / SCM_REALPART (y), 0.0);
- a = scm_big2dbl (x);
- goto complex_div;
- }
-#endif
- SCM_ASRTGO (SCM_SLOPPY_INEXACTP (x), badx2);
- if (SCM_INUMP (y))
- {
- d = SCM_INUM (y);
- goto basic_div;
- }
+ double a;
+
+ if (SCM_UNBNDP (y)) {
+ if (SCM_UNBNDP (x)) {
+ SCM_WTA_DISPATCH_0 (g_divide, x, SCM_ARG1, s_divide);
+ } else if (SCM_INUMP (x)) {
+ if (SCM_EQ_P (x, SCM_MAKINUM (1L)) || SCM_EQ_P (x, SCM_MAKINUM (-1L))) {
+ return x;
+ } else {
+ return scm_make_real (1.0 / (double) SCM_INUM (x));
+ }
+ } else if (SCM_BIGP (x)) {
+ return scm_make_real (1.0 / scm_big2dbl (x));
+ } else if (SCM_REALP (x)) {
+ return scm_make_real (1.0 / SCM_REAL_VALUE (x));
+ } else if (SCM_COMPLEXP (x)) {
+ double r = SCM_COMPLEX_REAL (x);
+ double i = SCM_COMPLEX_IMAG (x);
+ double d = r * r + i * i;
+ return scm_make_complex (r / d, -i / d);
+ } else {
+ SCM_WTA_DISPATCH_1 (g_divide, x, SCM_ARG1, s_divide);
+ }
+ }
+
+ if (SCM_INUMP (x)) {
+ long xx = SCM_INUM (x);
+ if (SCM_INUMP (y)) {
+ long yy = SCM_INUM (y);
+ if (yy == 0) {
+ scm_num_overflow (s_divide);
+ } else if (xx % yy != 0) {
+ return scm_make_real ((double) xx / (double) yy);
+ } else {
+ long z = xx / yy;
+ if (SCM_FIXABLE (z)) {
+ return SCM_MAKINUM (z);
+ } else {
#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- {
- d = scm_big2dbl (y);
- goto basic_div;
- }
- SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady);
+ return scm_long2big (z);
#else
- SCM_ASRTGO (SCM_SLOPPY_INEXACTP (y), bady);
+ return scm_make_real ((double) xx / (double) yy);
#endif
- if (SCM_SLOPPY_REALP (y))
- {
- d = SCM_REALPART (y);
- basic_div:
- return scm_makdbl (SCM_REALPART (x) / d,
- SCM_SLOPPY_COMPLEXP (x) ? SCM_IMAG (x) / d : 0.0);
}
- a = SCM_REALPART (x);
- if (SCM_SLOPPY_REALP (x))
- goto complex_div;
- r = SCM_REAL (y);
- i = SCM_IMAG (y);
- d = r * r + i * i;
- return scm_makdbl ((a * r + SCM_IMAG (x) * i) / d,
- (SCM_IMAG (x) * r - a * i) / d);
- }
- if (SCM_UNBNDP (y))
- {
- if (SCM_EQ_P (x, SCM_MAKINUM (1L)) || SCM_EQ_P (x, SCM_MAKINUM (-1L)))
- return x;
- return scm_makdbl (1.0 / ((double) SCM_INUM (x)), 0.0);
+ }
+ } else if (SCM_BIGP (y)) {
+ return scm_make_real ((double) xx / scm_big2dbl (y));
+ } else if (SCM_REALP (y)) {
+ return scm_make_real ((double) xx / SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ a = xx;
+ complex_div: /* y _must_ be a complex number */
+ {
+ double r = SCM_COMPLEX_REAL (y);
+ double i = SCM_COMPLEX_IMAG (y);
+ double d = r * r + i * i;
+ return scm_make_complex ((a * r) / d, (-a * i) / d);
+ }
+ } else {
+ SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide);
}
- if (SCM_NINUMP (y))
- {
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (y), bady);
- if (SCM_BIGP (y))
- return scm_makdbl (SCM_INUM (x) / scm_big2dbl (y), 0.0);
- if (!(SCM_SLOPPY_INEXACTP (y)))
- {
- bady:
- SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide);
- }
+ } else if (SCM_BIGP (x)) {
+ if (SCM_INUMP (y)) {
+ long int yy = SCM_INUM (y);
+ if (yy == 0) {
+ scm_num_overflow (s_divide);
+ } else if (yy == 1) {
+ return x;
+ } else {
+ long z = yy < 0 ? -yy : yy;
+ if (z < SCM_BIGRAD) {
+ SCM w = scm_copybig (x, SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0));
+ return scm_divbigdig (SCM_BDIGITS (w), SCM_NUMDIGS (w),
+ (SCM_BIGDIG) z)
+ ? scm_make_real (scm_big2dbl (x) / (double) yy)
+ : scm_normbig (w);
+ } else {
+ SCM w;
+#ifndef SCM_DIGSTOOBIG
+ z = scm_pseudolong (z);
+ w = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
+ (SCM_BIGDIG *) & z, SCM_DIGSPERLONG,
+ SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0), 3);
#else
- if (!SCM_SLOPPY_INEXACTP (y))
- {
- bady:
- SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide);
- }
+ SCM_BIGDIG zdigs[SCM_DIGSPERLONG];
+ scm_longdigs (z, zdigs);
+ w = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
+ zdigs, SCM_DIGSPERLONG,
+ SCM_BIGSIGN (x) ? (yy > 0) : (yy < 0), 3);
#endif
- if (SCM_SLOPPY_REALP (y))
- return scm_makdbl (SCM_INUM (x) / SCM_REALPART (y), 0.0);
- a = SCM_INUM (x);
- complex_div:
- r = SCM_REAL (y);
- i = SCM_IMAG (y);
- d = r * r + i * i;
- return scm_makdbl ((a * r) / d, (-a * i) / d);
+ return (!SCM_UNBNDP (w))
+ ? w
+ : scm_make_real (scm_big2dbl (x) / (double) yy);
+ }
+ }
+ } else if (SCM_BIGP (y)) {
+ SCM w = scm_divbigbig (SCM_BDIGITS (x), SCM_NUMDIGS (x),
+ SCM_BDIGITS (y), SCM_NUMDIGS (y),
+ SCM_BIGSIGN (x) ^ SCM_BIGSIGN (y), 3);
+ return (!SCM_UNBNDP (w))
+ ? w
+ : scm_make_real (scm_big2dbl (x) / scm_big2dbl (y));
+ } else if (SCM_REALP (y)) {
+ return scm_make_real (scm_big2dbl (x) / SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ a = scm_big2dbl (x);
+ goto complex_div;
+ } else {
+ SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide);
}
- {
- long z = SCM_INUM (y);
- if ((0 == z) || SCM_INUM (x) % z)
- goto ov;
- z = SCM_INUM (x) / z;
- if (SCM_FIXABLE (z))
- return SCM_MAKINUM (z);
-#ifdef SCM_BIGDIG
- return scm_long2big (z);
-#endif
- ov:
- return scm_makdbl (((double) SCM_INUM (x)) / ((double) SCM_INUM (y)), 0.0);
+ } else if (SCM_REALP (x)) {
+ double rx = SCM_REAL_VALUE (x);
+ if (SCM_INUMP (y)) {
+ return scm_make_real (rx / (double) SCM_INUM (y));
+ } else if (SCM_BIGP (y)) {
+ return scm_make_real (rx / scm_big2dbl (y));
+ } else if (SCM_REALP (y)) {
+ return scm_make_real (rx / SCM_REAL_VALUE (y));
+ } else if (SCM_COMPLEXP (y)) {
+ a = rx;
+ goto complex_div;
+ } else {
+ SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide);
+ }
+ } else if (SCM_COMPLEXP (x)) {
+ double rx = SCM_COMPLEX_REAL (x);
+ double ix = SCM_COMPLEX_IMAG (x);
+ if (SCM_INUMP (y)) {
+ double d = SCM_INUM (y);
+ return scm_make_complex (rx / d, ix / d);
+ } else if (SCM_BIGP (y)) {
+ double d = scm_big2dbl (y);
+ return scm_make_complex (rx / d, ix / d);
+ } else if (SCM_REALP (y)) {
+ double d = SCM_REAL_VALUE (y);
+ return scm_make_complex (rx / d, ix / d);
+ } else if (SCM_COMPLEXP (y)) {
+ double ry = SCM_COMPLEX_REAL (y);
+ double iy = SCM_COMPLEX_IMAG (y);
+ double d = ry * ry + iy * iy;
+ return scm_make_complex ((rx * ry + ix * iy) / d,
+ (ix * ry - rx * iy) / d);
+ } else {
+ SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARGn, s_divide);
+ }
+ } else {
+ SCM_WTA_DISPATCH_2 (g_divide, x, y, SCM_ARG1, s_divide);
}
}
-
-
SCM_GPROC1 (s_asinh, "$asinh", scm_tc7_cxr, (SCM (*)()) scm_asinh, g_asinh);
-
+/* "Return the inverse hyperbolic sine of @var{x}."
+ */
double
scm_asinh (double x)
{
SCM_GPROC1 (s_acosh, "$acosh", scm_tc7_cxr, (SCM (*)()) scm_acosh, g_acosh);
-
+/* "Return the inverse hyperbolic cosine of @var{x}."
+ */
double
scm_acosh (double x)
{
SCM_GPROC1 (s_atanh, "$atanh", scm_tc7_cxr, (SCM (*)()) scm_atanh, g_atanh);
-
+/* "Return the inverse hyperbolic tangent of @var{x}."
+ */
double
scm_atanh (double x)
{
SCM_GPROC1 (s_truncate, "truncate", scm_tc7_cxr, (SCM (*)()) scm_truncate, g_truncate);
-
+/* "Round the inexact number @var{x} towards zero."
+ */
double
scm_truncate (double x)
{
SCM_GPROC1 (s_round, "round", scm_tc7_cxr, (SCM (*)()) scm_round, g_round);
-
+/* "Round the inexact number @var{x}. If @var{x} is halfway between two\n"
+ * "numbers, round towards even."
+ */
double
scm_round (double x)
{
SCM_GPROC1 (s_exact_to_inexact, "exact->inexact", scm_tc7_cxr, (SCM (*)()) scm_exact_to_inexact, g_exact_to_inexact);
-
+/* Convert the number @var{x} to its inexact representation.\n"
+ */
double
scm_exact_to_inexact (double z)
{
SCM_GPROC1 (s_i_floor, "floor", scm_tc7_cxr, (SCM (*)()) floor, g_i_floor);
+/* "Round the number @var{x} towards minus infinity."
+ */
SCM_GPROC1 (s_i_ceil, "ceiling", scm_tc7_cxr, (SCM (*)()) ceil, g_i_ceil);
+/* "Round the number @var{x} towards infinity."
+ */
SCM_GPROC1 (s_i_sqrt, "$sqrt", scm_tc7_cxr, (SCM (*)()) sqrt, g_i_sqrt);
+/* "Return the square root of the real number @var{x}."
+ */
SCM_GPROC1 (s_i_abs, "$abs", scm_tc7_cxr, (SCM (*)()) fabs, g_i_abs);
+/* "Return the absolute value of the real number @var{x}."
+ */
SCM_GPROC1 (s_i_exp, "$exp", scm_tc7_cxr, (SCM (*)()) exp, g_i_exp);
+/* "Return the @var{x}th power of e."
+ */
SCM_GPROC1 (s_i_log, "$log", scm_tc7_cxr, (SCM (*)()) log, g_i_log);
+/* "Return the natural logarithm of the real number@var{x}."
+ */
SCM_GPROC1 (s_i_sin, "$sin", scm_tc7_cxr, (SCM (*)()) sin, g_i_sin);
+/* "Return the sine of the real number @var{x}."
+ */
SCM_GPROC1 (s_i_cos, "$cos", scm_tc7_cxr, (SCM (*)()) cos, g_i_cos);
+/* "Return the cosine of the real number @var{x}."
+ */
SCM_GPROC1 (s_i_tan, "$tan", scm_tc7_cxr, (SCM (*)()) tan, g_i_tan);
+/* "Return the tangent of the real number @var{x}."
+ */
SCM_GPROC1 (s_i_asin, "$asin", scm_tc7_cxr, (SCM (*)()) asin, g_i_asin);
+/* "Return the arc sine of the real number @var{x}."
+ */
SCM_GPROC1 (s_i_acos, "$acos", scm_tc7_cxr, (SCM (*)()) acos, g_i_acos);
+/* "Return the arc cosine of the real number @var{x}."
+ */
SCM_GPROC1 (s_i_atan, "$atan", scm_tc7_cxr, (SCM (*)()) atan, g_i_atan);
+/* "Return the arc tangent of the real number @var{x}."
+ */
SCM_GPROC1 (s_i_sinh, "$sinh", scm_tc7_cxr, (SCM (*)()) sinh, g_i_sinh);
+/* "Return the hyperbolic sine of the real number @var{x}."
+ */
SCM_GPROC1 (s_i_cosh, "$cosh", scm_tc7_cxr, (SCM (*)()) cosh, g_i_cosh);
+/* "Return the hyperbolic cosine of the real number @var{x}."
+ */
SCM_GPROC1 (s_i_tanh, "$tanh", scm_tc7_cxr, (SCM (*)()) tanh, g_i_tanh);
+/* "Return the hyperbolic tangent of the real number @var{x}."
+ */
struct dpair
{
double x, y;
};
-static void scm_two_doubles (SCM z1,
- SCM z2,
+static void scm_two_doubles (SCM x,
+ SCM y,
const char *sstring,
struct dpair * xy);
static void
-scm_two_doubles (SCM z1, SCM z2, const char *sstring, struct dpair *xy)
+scm_two_doubles (SCM x, SCM y, const char *sstring, struct dpair *xy)
{
- if (SCM_INUMP (z1))
- xy->x = SCM_INUM (z1);
- else
- {
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (z1), badz1);
- if (SCM_BIGP (z1))
- xy->x = scm_big2dbl (z1);
- else
- {
-#ifndef SCM_RECKLESS
- if (!SCM_SLOPPY_REALP (z1))
- badz1:scm_wta (z1, (char *) SCM_ARG1, sstring);
-#endif
- xy->x = SCM_REALPART (z1);
- }
-#else
- {
- SCM_ASSERT (SCM_SLOPPY_REALP (z1), z1, SCM_ARG1, sstring);
- xy->x = SCM_REALPART (z1);
- }
-#endif
- }
- if (SCM_INUMP (z2))
- xy->y = SCM_INUM (z2);
- else
- {
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (z2), badz2);
- if (SCM_BIGP (z2))
- xy->y = scm_big2dbl (z2);
- else
- {
-#ifndef SCM_RECKLESS
- if (!(SCM_SLOPPY_REALP (z2)))
- badz2:scm_wta (z2, (char *) SCM_ARG2, sstring);
-#endif
- xy->y = SCM_REALPART (z2);
- }
-#else
- {
- SCM_ASSERT (SCM_SLOPPY_REALP (z2), z2, SCM_ARG2, sstring);
- xy->y = SCM_REALPART (z2);
- }
-#endif
- }
-}
-
+ if (SCM_INUMP (x)) {
+ xy->x = SCM_INUM (x);
+ } else if (SCM_BIGP (x)) {
+ xy->x = scm_big2dbl (x);
+ } else if (SCM_REALP (x)) {
+ xy->x = SCM_REAL_VALUE (x);
+ } else {
+ scm_wrong_type_arg (sstring, SCM_ARG1, x);
+ }
+ if (SCM_INUMP (y)) {
+ xy->y = SCM_INUM (y);
+ } else if (SCM_BIGP (y)) {
+ xy->y = scm_big2dbl (y);
+ } else if (SCM_REALP (y)) {
+ xy->y = SCM_REAL_VALUE (y);
+ } else {
+ scm_wrong_type_arg (sstring, SCM_ARG2, y);
+ }
+}
SCM_DEFINE (scm_sys_expt, "$expt", 2, 0, 0,
- (SCM z1, SCM z2),
- "")
+ (SCM x, SCM y),
+ "Return @var{x} raised to the power of @var{y}. This\n"
+ "procedure does not accept complex arguments.")
#define FUNC_NAME s_scm_sys_expt
{
struct dpair xy;
- scm_two_doubles (z1, z2, FUNC_NAME, &xy);
- return scm_makdbl (pow (xy.x, xy.y), 0.0);
+ scm_two_doubles (x, y, FUNC_NAME, &xy);
+ return scm_make_real (pow (xy.x, xy.y));
}
#undef FUNC_NAME
-
SCM_DEFINE (scm_sys_atan2, "$atan2", 2, 0, 0,
- (SCM z1, SCM z2),
- "")
+ (SCM x, SCM y),
+ "Return the arc tangent of the two arguments @var{x} and\n"
+ "@var{y}. This is similar to calculating the arc tangent of\n"
+ "@var{x} / @var{y}, except that the signs of both arguments\n"
+ "are used to determine the quadrant of the result. This\n"
+ "procedure does not accept complex arguments.")
#define FUNC_NAME s_scm_sys_atan2
{
struct dpair xy;
- scm_two_doubles (z1, z2, FUNC_NAME, &xy);
- return scm_makdbl (atan2 (xy.x, xy.y), 0.0);
+ scm_two_doubles (x, y, FUNC_NAME, &xy);
+ return scm_make_real (atan2 (xy.x, xy.y));
}
#undef FUNC_NAME
-
SCM_DEFINE (scm_make_rectangular, "make-rectangular", 2, 0, 0,
- (SCM z1, SCM z2),
- "")
+ (SCM real, SCM imaginary),
+ "Return a complex number constructed of the given @var{real} and\n"
+ "@var{imaginary} parts.")
#define FUNC_NAME s_scm_make_rectangular
{
struct dpair xy;
- scm_two_doubles (z1, z2, FUNC_NAME, &xy);
- return scm_makdbl (xy.x, xy.y);
+ scm_two_doubles (real, imaginary, FUNC_NAME, &xy);
+ return scm_make_complex (xy.x, xy.y);
}
#undef FUNC_NAME
SCM_DEFINE (scm_make_polar, "make-polar", 2, 0, 0,
- (SCM z1, SCM z2),
- "")
+ (SCM x, SCM y),
+ "Return the complex number @var{x} * e^(i * @var{y}).")
#define FUNC_NAME s_scm_make_polar
{
struct dpair xy;
- scm_two_doubles (z1, z2, FUNC_NAME, &xy);
- return scm_makdbl (xy.x * cos (xy.y), xy.x * sin (xy.y));
+ scm_two_doubles (x, y, FUNC_NAME, &xy);
+ return scm_make_complex (xy.x * cos (xy.y), xy.x * sin (xy.y));
}
#undef FUNC_NAME
-
-
SCM_GPROC (s_real_part, "real-part", 1, 0, 0, scm_real_part, g_real_part);
-
+/* "Return the real part of the number @var{z}."
+ */
SCM
scm_real_part (SCM z)
{
- if (SCM_NINUMP (z))
- {
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (z), badz);
- if (SCM_BIGP (z))
- return z;
- if (!(SCM_SLOPPY_INEXACTP (z)))
- {
- badz:
- SCM_WTA_DISPATCH_1 (g_real_part, z, SCM_ARG1, s_real_part);
- }
-#else
- SCM_GASSERT1 (SCM_SLOPPY_INEXACTP (z),
- g_real_part, z, SCM_ARG1, s_real_part);
-#endif
- if (SCM_SLOPPY_COMPLEXP (z))
- return scm_makdbl (SCM_REAL (z), 0.0);
- }
- return z;
+ if (SCM_INUMP (z)) {
+ return z;
+ } else if (SCM_BIGP (z)) {
+ return z;
+ } else if (SCM_REALP (z)) {
+ return z;
+ } else if (SCM_COMPLEXP (z)) {
+ return scm_make_real (SCM_COMPLEX_REAL (z));
+ } else {
+ SCM_WTA_DISPATCH_1 (g_real_part, z, SCM_ARG1, s_real_part);
+ }
}
-
SCM_GPROC (s_imag_part, "imag-part", 1, 0, 0, scm_imag_part, g_imag_part);
-
+/* "Return the imaginary part of the number @var{z}."
+ */
SCM
scm_imag_part (SCM z)
{
- if (SCM_INUMP (z))
+ if (SCM_INUMP (z)) {
return SCM_INUM0;
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (z), badz);
- if (SCM_BIGP (z))
+ } else if (SCM_BIGP (z)) {
return SCM_INUM0;
- if (!(SCM_SLOPPY_INEXACTP (z)))
- {
- badz:
- SCM_WTA_DISPATCH_1 (g_imag_part, z, SCM_ARG1, s_imag_part);
- }
-#else
- SCM_GASSERT1 (SCM_SLOPPY_INEXACTP (z),
- g_imag_part, z, SCM_ARG1, s_imag_part);
-#endif
- if (SCM_SLOPPY_COMPLEXP (z))
- return scm_makdbl (SCM_IMAG (z), 0.0);
- return scm_flo0;
+ } else if (SCM_REALP (z)) {
+ return scm_flo0;
+ } else if (SCM_COMPLEXP (z)) {
+ return scm_make_real (SCM_COMPLEX_IMAG (z));
+ } else {
+ SCM_WTA_DISPATCH_1 (g_imag_part, z, SCM_ARG1, s_imag_part);
+ }
}
-
SCM_GPROC (s_magnitude, "magnitude", 1, 0, 0, scm_magnitude, g_magnitude);
-
+/* "Return the magnitude of the number @var{z}. This is the same as\n"
+ * "@code{abs} for real arguments, but also allows complex numbers."
+ */
SCM
scm_magnitude (SCM z)
{
- if (SCM_INUMP (z))
- return scm_abs (z);
+ if (SCM_INUMP (z)) {
+ long int zz = SCM_INUM (z);
+ if (zz >= 0) {
+ return z;
+ } else if (SCM_POSFIXABLE (-zz)) {
+ return SCM_MAKINUM (-zz);
+ } else {
#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (z), badz);
- if (SCM_BIGP (z))
- return scm_abs (z);
- if (!(SCM_SLOPPY_INEXACTP (z)))
- {
- badz:
- SCM_WTA_DISPATCH_1 (g_magnitude, z, SCM_ARG1, s_magnitude);
- }
+ return scm_long2big (-zz);
#else
- SCM_GASSERT1 (SCM_SLOPPY_INEXACTP (z),
- g_magnitude, z, SCM_ARG1, s_magnitude);
+ scm_num_overflow (s_magnitude);
#endif
- if (SCM_SLOPPY_COMPLEXP (z))
- {
- double i = SCM_IMAG (z), r = SCM_REAL (z);
- return scm_makdbl (sqrt (i * i + r * r), 0.0);
}
- return scm_makdbl (fabs (SCM_REALPART (z)), 0.0);
+ } else if (SCM_BIGP (z)) {
+ if (!SCM_BIGSIGN (z)) {
+ return z;
+ } else {
+ return scm_copybig (z, 0);
+ }
+ } else if (SCM_REALP (z)) {
+ return scm_make_real (fabs (SCM_REAL_VALUE (z)));
+ } else if (SCM_COMPLEXP (z)) {
+ double r = SCM_COMPLEX_REAL (z);
+ double i = SCM_COMPLEX_IMAG (z);
+ return scm_make_real (sqrt (i * i + r * r));
+ } else {
+ SCM_WTA_DISPATCH_1 (g_magnitude, z, SCM_ARG1, s_magnitude);
+ }
}
-
-
SCM_GPROC (s_angle, "angle", 1, 0, 0, scm_angle, g_angle);
-
+/* "Return the angle of the complex number @var{z}."
+ */
SCM
scm_angle (SCM z)
{
- double x, y = 0.0;
- if (SCM_INUMP (z))
- {
- x = (z >= SCM_INUM0) ? 1.0 : -1.0;
- goto do_angle;
- }
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (z), badz);
- if (SCM_BIGP (z))
- {
- x = (SCM_BIGSIGN (z)) ? -1.0 : 1.0;
- goto do_angle;
- }
- if (!(SCM_SLOPPY_INEXACTP (z)))
- {
- badz:
- SCM_WTA_DISPATCH_1 (g_angle, z, SCM_ARG1, s_angle);
+ if (SCM_INUMP (z)) {
+ if (SCM_INUM (z) >= 0) {
+ return scm_make_real (atan2 (0.0, 1.0));
+ } else {
+ return scm_make_real (atan2 (0.0, -1.0));
}
-#else
- SCM_GASSERT1 (SCM_SLOPPY_INEXACTP (z), g_angle, z, SCM_ARG1, s_angle);
-#endif
- if (SCM_SLOPPY_REALP (z))
- {
- x = SCM_REALPART (z);
- goto do_angle;
+ } else if (SCM_BIGP (z)) {
+ if (SCM_BIGSIGN (z)) {
+ return scm_make_real (atan2 (0.0, -1.0));
+ } else {
+ return scm_make_real (atan2 (0.0, 1.0));
}
- x = SCM_REAL (z);
- y = SCM_IMAG (z);
- do_angle:
- return scm_makdbl (atan2 (y, x), 0.0);
+ } else if (SCM_REALP (z)) {
+ return scm_make_real (atan2 (0.0, SCM_REAL_VALUE (z)));
+ } else if (SCM_COMPLEXP (z)) {
+ return scm_make_real (atan2 (SCM_COMPLEX_IMAG (z), SCM_COMPLEX_REAL (z)));
+ } else {
+ SCM_WTA_DISPATCH_1 (g_angle, z, SCM_ARG1, s_angle);
+ }
}
SCM_DEFINE (scm_inexact_to_exact, "inexact->exact", 1, 0, 0,
(SCM z),
- "")
+ "Returns an exact number that is numerically closest to @var{z}.")
#define FUNC_NAME s_scm_inexact_to_exact
{
- if (SCM_INUMP (z))
+ if (SCM_INUMP (z)) {
return z;
-#ifdef SCM_BIGDIG
- SCM_ASRTGO (SCM_NIMP (z), badz);
- if (SCM_BIGP (z))
+ } else if (SCM_BIGP (z)) {
return z;
-#ifndef SCM_RECKLESS
- if (!(SCM_SLOPPY_REALP (z)))
- {
- badz:
- SCM_WTA (1, z);
- }
-#endif
-#else
- SCM_VALIDATE_REAL (1,z);
-#endif
+ } else if (SCM_REALP (z)) {
+ double u = floor (SCM_REAL_VALUE (z) + 0.5);
+ long lu = (long) u;
+ if (SCM_FIXABLE (lu)) {
+ return SCM_MAKINUM (lu);
#ifdef SCM_BIGDIG
- {
- double u = floor (SCM_REALPART (z) + 0.5);
- if ((u <= SCM_MOST_POSITIVE_FIXNUM) && (-u <= -SCM_MOST_NEGATIVE_FIXNUM))
- {
- /* Negation is a workaround for HP700 cc bug */
- SCM ans = SCM_MAKINUM ((long) u);
- if (SCM_INUM (ans) == (long) u)
- return ans;
- }
- SCM_ASRTGO (isfinite (u), badz); /* problem? */
- return scm_dbl2big (u);
- }
-#else
- return SCM_MAKINUM ((long) floor (SCM_REALPART (z) + 0.5));
+ } else if (isfinite (u)) {
+ return scm_dbl2big (u);
#endif
+ } else {
+ scm_num_overflow (s_scm_inexact_to_exact);
+ }
+ } else {
+ SCM_WRONG_TYPE_ARG (1, z);
+ }
}
#undef FUNC_NAME
-
#ifdef SCM_BIGDIG
/* d must be integer */
#ifdef SCM_BIGDIG
return scm_long2big (sl);
#else
- return scm_makdbl ((double) sl, 0.0);
+ return scm_make_real ((double) sl);
#endif
}
return SCM_MAKINUM (sl);
#ifdef SCM_BIGDIG
return scm_long_long2big (sl);
#else
- return scm_makdbl ((double) sl, 0.0);
+ return scm_make_real ((double) sl);
#endif
}
else
return SCM_MAKINUM ((scm_bits_t) sl);
}
}
-#endif
+#endif /* HAVE_LONG_LONGS */
SCM
#ifdef SCM_BIGDIG
return scm_ulong2big (sl);
#else
- return scm_makdbl ((double) sl, 0.0);
+ return scm_make_real ((double) sl);
#endif
}
return SCM_MAKINUM (sl);
long
scm_num2long (SCM num, char *pos, const char *s_caller)
{
- long res;
-
- if (SCM_INUMP (num))
- {
- res = SCM_INUM (num);
- return res;
+ if (SCM_INUMP (num)) {
+ return SCM_INUM (num);
+ } else if (SCM_BIGP (num)) {
+ long int res;
+ /* can't use res directly in case num is -2^31. */
+ unsigned long int pos_res = 0;
+ unsigned long int old_res = 0;
+ scm_sizet l;
+
+ for (l = SCM_NUMDIGS (num); l--;) {
+ pos_res = SCM_BIGUP (pos_res) + SCM_BDIGITS (num)[l];
+ if (pos_res >= old_res) {
+ old_res = pos_res;
+ } else {
+ /* overflow. */
+ scm_out_of_range (s_caller, num);
+ }
}
- SCM_ASRTGO (SCM_NIMP (num), wrong_type_arg);
- if (SCM_SLOPPY_REALP (num))
- {
- volatile double u = SCM_REALPART (num);
-
- res = u;
- if (res != u)
- goto out_of_range;
- return res;
+ if (SCM_BIGSIGN (num)) {
+ res = -pos_res;
+ if (res <= 0) {
+ return res;
+ } else {
+ scm_out_of_range (s_caller, num);
+ }
+ } else {
+ res = pos_res;
+ if (res >= 0) {
+ return res;
+ } else {
+ scm_out_of_range (s_caller, num);
+ }
}
-#ifdef SCM_BIGDIG
- if (SCM_BIGP (num))
- {
- unsigned long oldres = 0;
- scm_sizet l;
- /* can't use res directly in case num is -2^31. */
- unsigned long pos_res = 0;
-
- for (l = SCM_NUMDIGS (num); l--;)
- {
- pos_res = SCM_BIGUP (pos_res) + SCM_BDIGITS (num)[l];
- /* check for overflow. */
- if (pos_res < oldres)
- goto out_of_range;
- oldres = pos_res;
- }
- if (SCM_BIGSIGN (num))
- {
- res = - pos_res;
- if (res > 0)
- goto out_of_range;
- }
- else
- {
- res = pos_res;
- if (res < 0)
- goto out_of_range;
- }
+ } else if (SCM_REALP (num)) {
+ double u = SCM_REAL_VALUE (num);
+ long int res = u;
+ if ((double) res == u) {
return res;
+ } else {
+ scm_out_of_range (s_caller, num);
}
-#endif
- wrong_type_arg:
- scm_wrong_type_arg (s_caller, (int) pos, num);
- out_of_range:
- scm_out_of_range (s_caller, num);
+ } else {
+ scm_wrong_type_arg (s_caller, (int) pos, num);
+ }
}
-
#ifdef HAVE_LONG_LONGS
long_long
scm_num2long_long (SCM num, char *pos, const char *s_caller)
{
- long_long res;
-
- if (SCM_INUMP (num))
- {
- res = SCM_INUM (num);
- return res;
+ if (SCM_INUMP (num)) {
+ return SCM_INUM (num);
+ } else if (SCM_BIGP (num)) {
+ long long res;
+ /* can't use res directly in case num is -2^63. */
+ unsigned long long int pos_res = 0;
+ unsigned long long int old_res = 0;
+ scm_sizet l;
+
+ for (l = SCM_NUMDIGS (num); l--;) {
+ pos_res = SCM_LONGLONGBIGUP (pos_res) + SCM_BDIGITS (num)[l];
+ if (pos_res >= old_res) {
+ old_res = pos_res;
+ } else {
+ /* overflow. */
+ scm_out_of_range (s_caller, num);
+ }
}
- SCM_ASRTGO (SCM_NIMP (num), wrong_type_arg);
- if (SCM_SLOPPY_REALP (num))
- {
- double u = SCM_REALPART (num);
-
- res = u;
- if ((res < 0 && u > 0) || (res > 0 && u < 0)) /* check for overflow. */
- goto out_of_range;
-
- return res;
+ if (SCM_BIGSIGN (num)) {
+ res = -pos_res;
+ if (res <= 0) {
+ return res;
+ } else {
+ scm_out_of_range (s_caller, num);
+ }
+ } else {
+ res = pos_res;
+ if (res >= 0) {
+ return res;
+ } else {
+ scm_out_of_range (s_caller, num);
+ }
}
-#ifdef SCM_BIGDIG
- if (SCM_BIGP (num))
- {
- unsigned long long oldres = 0;
- scm_sizet l;
- /* can't use res directly in case num is -2^63. */
- unsigned long long pos_res = 0;
-
- for (l = SCM_NUMDIGS (num); l--;)
- {
- pos_res = SCM_LONGLONGBIGUP (pos_res) + SCM_BDIGITS (num)[l];
- /* check for overflow. */
- if (pos_res < oldres)
- goto out_of_range;
- oldres = pos_res;
- }
- if (SCM_BIGSIGN (num))
- {
- res = - pos_res;
- if (res > 0)
- goto out_of_range;
- }
- else
- {
- res = pos_res;
- if (res < 0)
- goto out_of_range;
- }
+ } else if (SCM_REALP (num)) {
+ double u = SCM_REAL_VALUE (num);
+ long long int res = u;
+ if ((double) res == u) {
return res;
+ } else {
+ scm_out_of_range (s_caller, num);
}
-#endif
- wrong_type_arg:
- scm_wrong_type_arg (s_caller, (int) pos, num);
- out_of_range:
- scm_out_of_range (s_caller, num);
+ } else {
+ scm_wrong_type_arg (s_caller, (int) pos, num);
+ }
}
-#endif
+#endif /* HAVE_LONG_LONGS */
unsigned long
scm_num2ulong (SCM num, char *pos, const char *s_caller)
{
- unsigned long res;
-
- if (SCM_INUMP (num))
- {
- if (SCM_INUM (num) < 0)
- goto out_of_range;
- res = SCM_INUM (num);
- return res;
- }
- SCM_ASRTGO (SCM_NIMP (num), wrong_type_arg);
- if (SCM_SLOPPY_REALP (num))
- {
- double u = SCM_REALPART (num);
-
- res = u;
- if (res != u)
- goto out_of_range;
- return res;
+ if (SCM_INUMP (num)) {
+ long nnum = SCM_INUM (num);
+ if (nnum >= 0) {
+ return nnum;
+ } else {
+ scm_out_of_range (s_caller, num);
+ }
+ } else if (SCM_BIGP (num)) {
+ unsigned long int res = 0;
+ unsigned long int old_res = 0;
+ scm_sizet l;
+
+ for (l = SCM_NUMDIGS (num); l--;) {
+ res = SCM_BIGUP (res) + SCM_BDIGITS (num)[l];
+ if (res >= old_res) {
+ old_res = res;
+ } else {
+ scm_out_of_range (s_caller, num);
+ }
}
-#ifdef SCM_BIGDIG
- if (SCM_BIGP (num))
- {
- unsigned long oldres = 0;
- scm_sizet l;
-
- res = 0;
- for (l = SCM_NUMDIGS (num); l--;)
- {
- res = SCM_BIGUP (res) + SCM_BDIGITS (num)[l];
- if (res < oldres)
- goto out_of_range;
- oldres = res;
- }
+ return res;
+ } else if (SCM_REALP (num)) {
+ double u = SCM_REAL_VALUE (num);
+ unsigned long int res = u;
+ if ((double) res == u) {
return res;
+ } else {
+ scm_out_of_range (s_caller, num);
}
-#endif
- wrong_type_arg:
- scm_wrong_type_arg (s_caller, (int) pos, num);
- out_of_range:
- scm_out_of_range (s_caller, num);
-}
-
-
-#ifndef DBL_DIG
-static void
-add1 (double f, double *fsum)
-{
- *fsum = f + 1.0;
+ } else {
+ scm_wrong_type_arg (s_caller, (int) pos, num);
+ }
}
-#endif
-
void
scm_init_numbers ()
{
+ abs_most_negative_fixnum = scm_long2big (- SCM_MOST_NEGATIVE_FIXNUM);
+ scm_permanent_object (abs_most_negative_fixnum);
+
+ /* It may be possible to tune the performance of some algorithms by using
+ * the following constants to avoid the creation of bignums. Please, before
+ * using these values, remember the two rules of program optimization:
+ * 1st Rule: Don't do it. 2nd Rule (experts only): Don't do it yet. */
+ scm_sysintern ("most-positive-fixnum", SCM_MAKINUM (SCM_MOST_POSITIVE_FIXNUM));
+ scm_sysintern ("most-negative-fixnum", SCM_MAKINUM (SCM_MOST_NEGATIVE_FIXNUM));
+
scm_add_feature ("complex");
scm_add_feature ("inexact");
- SCM_NEWREAL (scm_flo0, 0.0);
+ scm_flo0 = scm_make_real (0.0);
#ifdef DBL_DIG
scm_dblprec = (DBL_DIG > 20) ? 20 : DBL_DIG;
#else
{ /* determine floating point precision */
double f = 0.1;
double fsum = 1.0 + f;
- while (fsum != 1.0)
- {
+ while (fsum != 1.0) {
+ if (++scm_dblprec > 20) {
+ fsum = 1.0;
+ } else {
f /= 10.0;
- if (++scm_dblprec > 20)
- break;
- add1 (f, &fsum);
+ fsum = f + 1.0;
}
+ }
scm_dblprec = scm_dblprec - 1;
}
#endif /* DBL_DIG */
-#include "numbers.x"
+#ifndef SCM_MAGIC_SNARFER
+#include "libguile/numbers.x"
+#endif
}
/*