revert to UNIX format (r457 changed every file to DOS format).

git-svn-id: svn://scm.gforge.inria.fr/svn/mpc/trunk@459 211d60ee-9f03-0410-a15a-8952a2c7a4e4

1 files changed, 169 insertions, 169 deletions

diff --git a/src/sin.c b/src/sin.c
index 0bff05d..9b90c0f 100644
--- a/src/sin.c
+++ b/src/sin.c
@@ -1,169 +1,169 @@
-/* mpc_sin -- sine of a complex number.

-

-Copyright (C) 2007, 2009 Paul Zimmermann, Philippe Th\'eveny

-

-This file is part of the MPC Library.

-

-The MPC Library is free software; you can redistribute it and/or modify

-it under the terms of the GNU Lesser General Public License as published by

-the Free Software Foundation; either version 2.1 of the License, or (at your

-option) any later version.

-

-The MPC Library is distributed in the hope that it will be useful, but

-WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY

-or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public

-License for more details.

-

-You should have received a copy of the GNU Lesser General Public License

-along with the MPC Library; see the file COPYING.LIB.  If not, write to

-the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,

-MA 02111-1307, USA. */

-

-#include "mpc-impl.h"

-

-int

-mpc_sin (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd)

-{

-  mpfr_t x, y, z;

-  mp_prec_t prec;

-  int ok = 0;

-  int inex_re, inex_im;

-

-  /* special values */

-  if (!mpfr_number_p (MPC_RE (op)) || !mpfr_number_p (MPC_IM (op)))

-    {

-      if (mpfr_nan_p (MPC_RE (op)) || mpfr_nan_p (MPC_IM (op)))

-        {

-          mpc_set (rop, op, rnd);

-

-          if (mpfr_nan_p (MPC_IM (op)))

-            {

-              /* sin(x +i*NaN) = NaN +i*NaN, except for x=0 */

-              /* sin(-0 +i*NaN) = -0 +i*NaN */

-              /* sin(+0 +i*NaN) = +0 +i*NaN */

-              if (!mpfr_zero_p (MPC_RE (op)))

-                mpfr_set_nan (MPC_RE (rop));

-              else if (!mpfr_inf_p (MPC_IM (op))

-                       && !mpfr_zero_p (MPC_IM (op)))

-                /* sin(NaN -i*Inf) = NaN -i*Inf */

-                /* sin(NaN -i*0) = NaN -i*0 */

-                /* sin(NaN +i*0) = NaN +i*0 */

-                /* sin(NaN +i*Inf) = NaN +i*Inf */

-                /* sin(NaN +i*y) = NaN +i*NaN, when 0<|y|<Inf */

-                mpfr_set_nan (MPC_IM (rop));

-            }

-        }

-      else if (mpfr_inf_p (MPC_RE (op)))

-        {

-          mpfr_set_nan (MPC_RE (rop));

-

-          if (!mpfr_inf_p (MPC_IM (op)) && !mpfr_zero_p (MPC_IM (op)))

-            /* sin(+/-Inf -i*Inf) = NaN -i*Inf */

-            /* sin(+/-Inf +i*Inf) = NaN +i*Inf */

-            /* sin(+/-Inf +i*y) = NaN +i*NaN, when 0<|y|<Inf */

-            mpfr_set_nan (MPC_IM (rop));

-          else

-            /* sin(+/-Inf -i*0) = NaN -i*0 */

-            /* sin(+/-Inf +i*0) = NaN +i*0 */

-            mpfr_set (MPC_IM (rop), MPC_IM (op), MPC_RND_IM (rnd));

-        }

-      else if (mpfr_zero_p (MPC_RE (op)))

-        /* sin(-0 -i*Inf) = -0 -i*Inf */

-        /* sin(+0 -i*Inf) = +0 -i*Inf */

-        /* sin(-0 +i*Inf) = -0 +i*Inf */

-        /* sin(+0 +i*Inf) = +0 +i*Inf */

-        {

-          mpc_set (rop, op, rnd);

-        }

-      else

-        /* sin(x -i*Inf) = +Inf*(sin(x) -i*cos(x)) */

-        /* sin(x +i*Inf) = +Inf*(sin(x) +i*cos(x)) */

-        {

-          mpfr_init2 (x, 2);

-          mpfr_init2 (y, 2);

-          mpfr_sin_cos (x, y, MPC_RE (op), GMP_RNDZ);

-          mpfr_set_inf (MPC_RE (rop), MPFR_SIGN (x));

-          mpfr_set_inf (MPC_IM (rop), MPFR_SIGN (y)*MPFR_SIGN (MPC_IM (op)));

-          mpfr_clear (y);

-          mpfr_clear(x);

-        }

-

-      return MPC_INEX (0, 0); /* exact in all cases*/

-    }

-

-  /* special case when the input is real: */

-  /* sin(x -0*i) = sin(x) -0*i*cos(x) */

-  /* sin(x +0*i) = sin(x) +0*i*cos(x) */

-  if (mpfr_cmp_ui (MPC_IM(op), 0) == 0)

-    {

-      mpfr_init2 (x, 2);

-      mpfr_cos (x, MPC_RE (op), MPC_RND_RE (rnd));

-      inex_re = mpfr_sin (MPC_RE (rop), MPC_RE (op), MPC_RND_RE (rnd));

-      mpfr_mul (MPC_IM(rop), MPC_IM(op), x, MPC_RND_IM(rnd));

-      mpfr_clear (x);

-

-      return MPC_INEX (inex_re, 0);

-    }

-

-  /* special case when the input is imaginary:

-     sin(+/-O +i*y) = +/-0 +i*sinh(y) */

-  if (mpfr_cmp_ui (MPC_RE(op), 0) == 0)

-    {

-      mpfr_set (MPC_RE(rop), MPC_RE(op), MPC_RND_RE(rnd));

-      inex_im = mpfr_sinh (MPC_IM(rop), MPC_IM(op), MPC_RND_IM(rnd));

-

-      return MPC_INEX (0, inex_im);

-    }

-

-  /* let op = a + i*b, then sin(op) = sin(a)*cosh(b) + i*cos(a)*sinh(b).

-

-     We use the following algorithm (same for the imaginary part),

-     with rounding to nearest for all operations, and working precision w:

-

-     (1) x = o(sin(a))

-     (2) y = o(cosh(b))

-     (3) r = o(x*y)

-     then the error on r is at most 4 ulps, since we can write

-     r = sin(a)*cosh(b)*(1+t)^3 with |t| <= 2^(-w),

-     thus for w >= 2, r = sin(a)*cosh(b)*(1+4*t) with |t| <= 2^(-w),

-     thus the relative error is bounded by 4*2^(-w) <= 4*ulp(r).

-  */

-

-  prec = MPC_MAX_PREC(rop);

-

-  mpfr_init2 (x, 2);

-  mpfr_init2 (y, 2);

-  mpfr_init2 (z, 2);

-

-  do

-    {

-      prec += mpc_ceil_log2 (prec) + 5;

-

-      mpfr_set_prec (x, prec);

-      mpfr_set_prec (y, prec);

-      mpfr_set_prec (z, prec);

-

-      mpfr_sin_cos (x, y, MPC_RE(op), GMP_RNDN);

-      mpfr_cosh (z, MPC_IM(op), GMP_RNDN);

-      mpfr_mul (x, x, z, GMP_RNDN);

-      ok = mpfr_can_round (x, prec - 2, GMP_RNDN, GMP_RNDZ,

-                      MPFR_PREC(MPC_RE(rop)) + (MPC_RND_RE(rnd) == GMP_RNDN));

-      if (ok) /* compute imaginary part */

-        {

-          mpfr_sinh (z, MPC_IM(op), GMP_RNDN);

-          mpfr_mul (y, y, z, GMP_RNDN);

-          ok = mpfr_can_round (y, prec - 2, GMP_RNDN, GMP_RNDZ,

-                      MPFR_PREC(MPC_IM(rop)) + (MPC_RND_IM(rnd) == GMP_RNDN));

-        }

-    }

-  while (ok == 0);

-

-  inex_re = mpfr_set (MPC_RE(rop), x, MPC_RND_RE(rnd));

-  inex_im = mpfr_set (MPC_IM(rop), y, MPC_RND_IM(rnd));

-

-  mpfr_clear (x);

-  mpfr_clear (y);

-  mpfr_clear (z);

-

-  return MPC_INEX (inex_re, inex_im);

-}

+/* mpc_sin -- sine of a complex number.
+
+Copyright (C) 2007, 2009 Paul Zimmermann, Philippe Th\'eveny
+
+This file is part of the MPC Library.
+
+The MPC Library is free software; you can redistribute it and/or modify
+it under the terms of the GNU Lesser General Public License as published by
+the Free Software Foundation; either version 2.1 of the License, or (at your
+option) any later version.
+
+The MPC Library is distributed in the hope that it will be useful, but
+WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
+or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public
+License for more details.
+
+You should have received a copy of the GNU Lesser General Public License
+along with the MPC Library; see the file COPYING.LIB.  If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include "mpc-impl.h"
+
+int
+mpc_sin (mpc_ptr rop, mpc_srcptr op, mpc_rnd_t rnd)
+{
+  mpfr_t x, y, z;
+  mp_prec_t prec;
+  int ok = 0;
+  int inex_re, inex_im;
+
+  /* special values */
+  if (!mpfr_number_p (MPC_RE (op)) || !mpfr_number_p (MPC_IM (op)))
+    {
+      if (mpfr_nan_p (MPC_RE (op)) || mpfr_nan_p (MPC_IM (op)))
+        {
+          mpc_set (rop, op, rnd);
+
+          if (mpfr_nan_p (MPC_IM (op)))
+            {
+              /* sin(x +i*NaN) = NaN +i*NaN, except for x=0 */
+              /* sin(-0 +i*NaN) = -0 +i*NaN */
+              /* sin(+0 +i*NaN) = +0 +i*NaN */
+              if (!mpfr_zero_p (MPC_RE (op)))
+                mpfr_set_nan (MPC_RE (rop));
+              else if (!mpfr_inf_p (MPC_IM (op))
+                       && !mpfr_zero_p (MPC_IM (op)))
+                /* sin(NaN -i*Inf) = NaN -i*Inf */
+                /* sin(NaN -i*0) = NaN -i*0 */
+                /* sin(NaN +i*0) = NaN +i*0 */
+                /* sin(NaN +i*Inf) = NaN +i*Inf */
+                /* sin(NaN +i*y) = NaN +i*NaN, when 0<|y|<Inf */
+                mpfr_set_nan (MPC_IM (rop));
+            }
+        }
+      else if (mpfr_inf_p (MPC_RE (op)))
+        {
+          mpfr_set_nan (MPC_RE (rop));
+
+          if (!mpfr_inf_p (MPC_IM (op)) && !mpfr_zero_p (MPC_IM (op)))
+            /* sin(+/-Inf -i*Inf) = NaN -i*Inf */
+            /* sin(+/-Inf +i*Inf) = NaN +i*Inf */
+            /* sin(+/-Inf +i*y) = NaN +i*NaN, when 0<|y|<Inf */
+            mpfr_set_nan (MPC_IM (rop));
+          else
+            /* sin(+/-Inf -i*0) = NaN -i*0 */
+            /* sin(+/-Inf +i*0) = NaN +i*0 */
+            mpfr_set (MPC_IM (rop), MPC_IM (op), MPC_RND_IM (rnd));
+        }
+      else if (mpfr_zero_p (MPC_RE (op)))
+        /* sin(-0 -i*Inf) = -0 -i*Inf */
+        /* sin(+0 -i*Inf) = +0 -i*Inf */
+        /* sin(-0 +i*Inf) = -0 +i*Inf */
+        /* sin(+0 +i*Inf) = +0 +i*Inf */
+        {
+          mpc_set (rop, op, rnd);
+        }
+      else
+        /* sin(x -i*Inf) = +Inf*(sin(x) -i*cos(x)) */
+        /* sin(x +i*Inf) = +Inf*(sin(x) +i*cos(x)) */
+        {
+          mpfr_init2 (x, 2);
+          mpfr_init2 (y, 2);
+          mpfr_sin_cos (x, y, MPC_RE (op), GMP_RNDZ);
+          mpfr_set_inf (MPC_RE (rop), MPFR_SIGN (x));
+          mpfr_set_inf (MPC_IM (rop), MPFR_SIGN (y)*MPFR_SIGN (MPC_IM (op)));
+          mpfr_clear (y);
+          mpfr_clear(x);
+        }
+
+      return MPC_INEX (0, 0); /* exact in all cases*/
+    }
+
+  /* special case when the input is real: */
+  /* sin(x -0*i) = sin(x) -0*i*cos(x) */
+  /* sin(x +0*i) = sin(x) +0*i*cos(x) */
+  if (mpfr_cmp_ui (MPC_IM(op), 0) == 0)
+    {
+      mpfr_init2 (x, 2);
+      mpfr_cos (x, MPC_RE (op), MPC_RND_RE (rnd));
+      inex_re = mpfr_sin (MPC_RE (rop), MPC_RE (op), MPC_RND_RE (rnd));
+      mpfr_mul (MPC_IM(rop), MPC_IM(op), x, MPC_RND_IM(rnd));
+      mpfr_clear (x);
+
+      return MPC_INEX (inex_re, 0);
+    }
+
+  /* special case when the input is imaginary:
+     sin(+/-O +i*y) = +/-0 +i*sinh(y) */
+  if (mpfr_cmp_ui (MPC_RE(op), 0) == 0)
+    {
+      mpfr_set (MPC_RE(rop), MPC_RE(op), MPC_RND_RE(rnd));
+      inex_im = mpfr_sinh (MPC_IM(rop), MPC_IM(op), MPC_RND_IM(rnd));
+
+      return MPC_INEX (0, inex_im);
+    }
+
+  /* let op = a + i*b, then sin(op) = sin(a)*cosh(b) + i*cos(a)*sinh(b).
+
+     We use the following algorithm (same for the imaginary part),
+     with rounding to nearest for all operations, and working precision w:
+
+     (1) x = o(sin(a))
+     (2) y = o(cosh(b))
+     (3) r = o(x*y)
+     then the error on r is at most 4 ulps, since we can write
+     r = sin(a)*cosh(b)*(1+t)^3 with |t| <= 2^(-w),
+     thus for w >= 2, r = sin(a)*cosh(b)*(1+4*t) with |t| <= 2^(-w),
+     thus the relative error is bounded by 4*2^(-w) <= 4*ulp(r).
+  */
+
+  prec = MPC_MAX_PREC(rop);
+
+  mpfr_init2 (x, 2);
+  mpfr_init2 (y, 2);
+  mpfr_init2 (z, 2);
+
+  do
+    {
+      prec += mpc_ceil_log2 (prec) + 5;
+
+      mpfr_set_prec (x, prec);
+      mpfr_set_prec (y, prec);
+      mpfr_set_prec (z, prec);
+
+      mpfr_sin_cos (x, y, MPC_RE(op), GMP_RNDN);
+      mpfr_cosh (z, MPC_IM(op), GMP_RNDN);
+      mpfr_mul (x, x, z, GMP_RNDN);
+      ok = mpfr_can_round (x, prec - 2, GMP_RNDN, GMP_RNDZ,
+                      MPFR_PREC(MPC_RE(rop)) + (MPC_RND_RE(rnd) == GMP_RNDN));
+      if (ok) /* compute imaginary part */
+        {
+          mpfr_sinh (z, MPC_IM(op), GMP_RNDN);
+          mpfr_mul (y, y, z, GMP_RNDN);
+          ok = mpfr_can_round (y, prec - 2, GMP_RNDN, GMP_RNDZ,
+                      MPFR_PREC(MPC_IM(rop)) + (MPC_RND_IM(rnd) == GMP_RNDN));
+        }
+    }
+  while (ok == 0);
+
+  inex_re = mpfr_set (MPC_RE(rop), x, MPC_RND_RE(rnd));
+  inex_im = mpfr_set (MPC_IM(rop), y, MPC_RND_IM(rnd));
+
+  mpfr_clear (x);
+  mpfr_clear (y);
+  mpfr_clear (z);
+
+  return MPC_INEX (inex_re, inex_im);
+}