Added:

  xcalc-1.0.2
  xclock-1.0.4

1 files changed, 2263 insertions, 0 deletions

diff --git a/apps/xclock/Clock.c b/apps/xclock/Clock.c
new file mode 100644
index 000000000..cbb0e4208
--- /dev/null
+++ b/apps/xclock/Clock.c
@@ -0,0 +1,2263 @@
+/* $Xorg: Clock.c,v 1.4 2001/02/09 02:05:39 xorgcvs Exp $ */
+/* $XdotOrg: xc/programs/xclock/Clock.c,v 1.3 2004/10/30 20:33:44 alanc Exp $ */
+
+/***********************************************************
+
+Copyright 1987, 1988, 1998  The Open Group
+
+Permission to use, copy, modify, distribute, and sell this software and its
+documentation for any purpose is hereby granted without fee, provided that
+the above copyright notice appear in all copies and that both that
+copyright notice and this permission notice appear in supporting
+documentation.
+
+The above copyright notice and this permission notice shall be included in
+all copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.  IN NO EVENT SHALL THE
+OPEN GROUP BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN
+AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
+CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
+
+Except as contained in this notice, the name of The Open Group shall not be
+used in advertising or otherwise to promote the sale, use or other dealings
+in this Software without prior written authorization from The Open Group.
+
+
+Copyright 1987, 1988 by Digital Equipment Corporation, Maynard, Massachusetts.
+
+                        All Rights Reserved
+
+Permission to use, copy, modify, and distribute this software and its
+documentation for any purpose and without fee is hereby granted,
+provided that the above copyright notice appear in all copies and that
+both that copyright notice and this permission notice appear in
+supporting documentation, and that the name of Digital not be
+used in advertising or publicity pertaining to distribution of the
+software without specific, written prior permission.
+
+DIGITAL DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, INCLUDING
+ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS, IN NO EVENT SHALL
+DIGITAL BE LIABLE FOR ANY SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES OR
+ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS,
+WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION,
+ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS
+SOFTWARE.
+
+******************************************************************/
+/*
+ * Copyright 2004 Sun Microsystems, Inc.
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ *    notice, this list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright
+ *    notice, this list of conditions and the following disclaimer in the
+ *    documentation and/or other materials provided with the distribution.
+ *
+ * 3. Neither the name of Sun Microsystems, Inc. nor the names of its
+ *    contributors may be used to endorse or promote products derived from
+ *    this software without specific prior written permission.
+ *
+ * This software is provided "AS IS," without a warranty of any kind.
+ *
+ * ALL EXPRESS OR IMPLIED CONDITIONS, REPRESENTATIONS AND WARRANTIES,
+ * INCLUDING ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS FOR A
+ * PARTICULAR PURPOSE OR NON-INFRINGEMENT, ARE HEREBY EXCLUDED.
+ * SUN AND ITS LICENSORS SHALL NOT BE LIABLE FOR ANY DAMAGES OR
+ * LIABILITIES  SUFFERED BY LICENSEE AS A RESULT OF  OR RELATING TO USE,
+ * MODIFICATION OR DISTRIBUTION OF THE SOFTWARE OR ITS DERIVATIVES.
+ * IN NO EVENT WILL SUN OR ITS LICENSORS BE LIABLE FOR ANY LOST REVENUE,
+ * PROFIT OR DATA, OR FOR DIRECT, INDIRECT, SPECIAL, CONSEQUENTIAL,
+ * INCIDENTAL OR PUNITIVE DAMAGES, HOWEVER CAUSED AND REGARDLESS OF THE
+ * THEORY OF LIABILITY, ARISING OUT OF THE USE OF OR INABILITY TO USE
+ * SOFTWARE, EVEN IF SUN HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES.
+ *
+ * Authors:  I18N - Steve Swales - March 2000
+ *	     bgpixmap - Alan Coopersmith (as part of STSF project) - Sept. 2001
+ */
+/* $XFree86: xc/programs/xclock/Clock.c,v 3.25 2003/07/04 16:24:30 eich Exp $ */
+
+#ifdef HAVE_CONFIG_H
+# include "config.h"
+#endif
+
+#include <X11/Xlib.h>
+#include <X11/StringDefs.h>
+#include <X11/IntrinsicP.h>
+#include "ClockP.h"
+#include <X11/Xosdefs.h>
+#include <stdio.h>
+#include <X11/Xos.h>
+#include <X11/Xaw/XawInit.h>
+#if !defined(NO_I18N) && defined(HAVE_ICONV)
+#include <iconv.h>
+#include <langinfo.h>
+#include <errno.h>
+#include <limits.h>
+#endif
+
+#if defined(XawVersion) && (XawVersion >= 7000002L)
+#define USE_XAW_PIXMAP_CVT
+#else
+#include <X11/xpm.h>
+#endif
+
+#include <time.h>
+#define Time_t time_t
+
+#ifdef XKB
+#include <X11/extensions/XKBbells.h>
+#endif
+
+#ifndef NO_I18N
+#include <stdlib.h> /* for getenv() */
+#include <locale.h>
+extern Boolean no_locale; /* if True, use old (unlocalized) behaviour */
+#endif
+
+
+/* Private Definitions */
+
+#define VERTICES_IN_HANDS	6	/* to draw triangle */
+#define PI			3.14159265358979
+#define TWOPI			(2. * PI)
+
+#define MINOR_TICK_FRACT	95
+#define SECOND_HAND_FRACT	90
+#define MINUTE_HAND_FRACT	70
+#define HOUR_HAND_FRACT		40
+#define HAND_WIDTH_FRACT	7
+#define SECOND_WIDTH_FRACT	5
+#define SECOND_HAND_TIME	30
+
+#define ANALOG_SIZE_DEFAULT	164
+
+#define max(a, b) ((a) > (b) ? (a) : (b))
+#define min(a, b) ((a) < (b) ? (a) : (b))
+/* #define abs(a) ((a) < 0 ? -(a) : (a)) */
+
+
+/* Initialization of defaults */
+
+#define offset(field) XtOffsetOf(ClockRec, clock.field)
+#define goffset(field) XtOffsetOf(WidgetRec, core.field)
+
+static XtResource resources[] = {
+    {XtNwidth, XtCWidth, XtRDimension, sizeof(Dimension),
+	goffset(width), XtRImmediate, (XtPointer) 0},
+    {XtNheight, XtCHeight, XtRDimension, sizeof(Dimension),
+	goffset(height), XtRImmediate, (XtPointer) 0},
+    {XtNupdate, XtCInterval, XtRInt, sizeof(int),
+        offset(update), XtRImmediate, (XtPointer) 60 },
+#ifndef XRENDER
+    {XtNforeground, XtCForeground, XtRPixel, sizeof(Pixel),
+        offset(fgpixel), XtRString, XtDefaultForeground},
+#endif
+    {XtNhand, XtCForeground, XtRPixel, sizeof(Pixel),
+        offset(Hdpixel), XtRString, XtDefaultForeground},
+    {XtNhighlight, XtCForeground, XtRPixel, sizeof(Pixel),
+        offset(Hipixel), XtRString, XtDefaultForeground},
+    {XtNutime, XtCBoolean, XtRBoolean, sizeof(Boolean),
+	offset(utime), XtRImmediate, (XtPointer) FALSE},
+    {XtNanalog, XtCBoolean, XtRBoolean, sizeof(Boolean),
+        offset(analog), XtRImmediate, (XtPointer) TRUE},
+    {XtNtwentyfour, XtCBoolean, XtRBoolean, sizeof(Boolean),
+        offset(twentyfour), XtRImmediate, (XtPointer) TRUE},
+    {XtNbrief, XtCBoolean, XtRBoolean, sizeof(Boolean),
+        offset(brief), XtRImmediate, (XtPointer) FALSE},
+    {XtNstrftime, XtCString, XtRString, sizeof(String),
+        offset(strftime), XtRString, ""},
+    {XtNchime, XtCBoolean, XtRBoolean, sizeof(Boolean),
+	offset(chime), XtRImmediate, (XtPointer) FALSE },
+    {XtNpadding, XtCMargin, XtRInt, sizeof(int),
+        offset(padding), XtRImmediate, (XtPointer) 8},
+    {XtNfont, XtCFont, XtRFontStruct, sizeof(XFontStruct *),
+        offset(font), XtRString, XtDefaultFont},
+#ifndef NO_I18N
+     {XtNfontSet, XtCFontSet, XtRFontSet, sizeof(XFontSet),
+        offset(fontSet), XtRString, XtDefaultFontSet},
+#endif
+    {XtNbackingStore, XtCBackingStore, XtRBackingStore, sizeof (int),
+    	offset (backing_store), XtRString, "default"},
+#ifdef XRENDER
+    {XtNrender, XtCBoolean, XtRBoolean, sizeof(Boolean),
+	offset(render), XtRImmediate, (XtPointer) TRUE },
+    {XtNbuffer, XtCBoolean, XtRBoolean, sizeof(Boolean),
+	offset(buffer), XtRImmediate, (XtPointer) TRUE },
+    {XtNsharp, XtCBoolean, XtRBoolean, sizeof(Boolean),
+	offset(sharp), XtRImmediate, (XtPointer) FALSE },
+    {XtNforeground, XtCForeground, XtRXftColor, sizeof(XftColor),
+        offset(fg_color), XtRString, XtDefaultForeground},
+    {XtNhourColor, XtCForeground, XtRXftColor, sizeof(XftColor),
+	offset(hour_color), XtRString, XtDefaultForeground},
+    {XtNminuteColor, XtCForeground, XtRXftColor, sizeof(XftColor),
+	offset(min_color), XtRString, XtDefaultForeground},
+    {XtNsecondColor, XtCForeground, XtRXftColor, sizeof(XftColor),
+	offset(sec_color), XtRString, XtDefaultForeground},
+    {XtNmajorColor, XtCForeground, XtRXftColor, sizeof(XftColor),
+	offset(major_color), XtRString, XtDefaultForeground},
+    {XtNminorColor, XtCForeground, XtRXftColor, sizeof(XftColor),
+	offset(minor_color), XtRString, XtDefaultForeground},
+    {XtNface, XtCFace, XtRXftFont, sizeof (XftFont *),
+	offset (face), XtRString, ""},
+#endif
+};
+
+#undef offset
+#undef goffset
+
+static void ClassInitialize ( void );
+static void Initialize ( Widget request, Widget new, ArgList args,
+			 Cardinal *num_args );
+static void Realize ( Widget gw, XtValueMask *valueMask,
+		      XSetWindowAttributes *attrs );
+static void Destroy ( Widget gw );
+static void Resize ( Widget gw );
+static void Redisplay ( Widget gw, XEvent *event, Region region );
+static void clock_tic ( XtPointer client_data, XtIntervalId *id );
+static void erase_hands ( ClockWidget w, struct tm *tm );
+static void ClockAngle ( int tick_units, double *sinp, double *cosp );
+static void DrawLine ( ClockWidget w, Dimension blank_length,
+		       Dimension length, int tick_units );
+static void DrawHand ( ClockWidget w, Dimension length, Dimension width,
+		       int tick_units );
+static void DrawSecond ( ClockWidget w, Dimension length, Dimension width,
+			 Dimension offset, int tick_units );
+static void SetSeg ( ClockWidget w, int x1, int y1, int x2, int y2 );
+static void DrawClockFace ( ClockWidget w );
+static int clock_round ( double x );
+static Boolean SetValues ( Widget gcurrent, Widget grequest, Widget gnew,
+			   ArgList args, Cardinal *num_args );
+#if !defined(NO_I18N) && defined(HAVE_ICONV)
+static char *clock_to_utf8(const char *str, int in_len);
+#endif
+
+ClockClassRec clockClassRec = {
+    { /* core fields */
+    /* superclass		*/	(WidgetClass) &simpleClassRec,
+    /* class_name		*/	"Clock",
+    /* widget_size		*/	sizeof(ClockRec),
+    /* class_initialize		*/	ClassInitialize,
+    /* class_part_initialize	*/	NULL,
+    /* class_inited		*/	FALSE,
+    /* initialize		*/	Initialize,
+    /* initialize_hook		*/	NULL,
+    /* realize			*/	Realize,
+    /* actions			*/	NULL,
+    /* num_actions		*/	0,
+    /* resources		*/	resources,
+    /* resource_count		*/	XtNumber(resources),
+    /* xrm_class		*/	NULLQUARK,
+    /* compress_motion		*/	TRUE,
+    /* compress_exposure	*/	XtExposeCompressMaximal,
+    /* compress_enterleave	*/	TRUE,
+    /* visible_interest		*/	FALSE,
+    /* destroy			*/	Destroy,
+    /* resize			*/	Resize,
+    /* expose			*/	Redisplay,
+    /* set_values		*/	SetValues,
+    /* set_values_hook		*/	NULL,
+    /* set_values_almost	*/	XtInheritSetValuesAlmost,
+    /* get_values_hook		*/	NULL,
+    /* accept_focus		*/	NULL,
+    /* version			*/	XtVersion,
+    /* callback_private		*/	NULL,
+    /* tm_table			*/	NULL,
+    /* query_geometry           */	XtInheritQueryGeometry,
+    /* display_accelerator      */	XtInheritDisplayAccelerator,
+    /* extension                */	NULL
+    },
+    { /* simple fields */
+    /* change_sensitive         */      XtInheritChangeSensitive
+    },
+    { /* clock fields */
+    /* ignore                   */      0
+    }
+};
+
+WidgetClass clockWidgetClass = (WidgetClass) &clockClassRec;
+
+/****************************************************************
+ *
+ * Private Procedures
+ *
+ ****************************************************************/
+#ifndef USE_XAW_PIXMAP_CVT
+static void CvtStringToPixmap(
+    XrmValue*           args,
+    Cardinal*           num_args,
+    XrmValuePtr         fromVal,
+    XrmValuePtr         toVal
+    )
+{
+    static Pixmap	pmap;
+    Pixmap shapemask;
+    char *name = (char *)fromVal->addr;
+    Screen *screen;
+    Display *dpy;
+
+    if (*num_args != 1)
+     XtErrorMsg("wrongParameters","cvtStringToPixmap","XtToolkitError",
+             "String to pixmap conversion needs screen argument",
+              (String *)NULL, (Cardinal *)NULL);
+
+    if (strcmp(name, "None") == 0) {
+        pmap = None;
+    } else {
+	screen = *((Screen **) args[0].addr);
+	dpy = DisplayOfScreen(screen);
+
+	XpmReadFileToPixmap(dpy, RootWindowOfScreen(screen), name, &pmap,
+	  &shapemask, NULL);
+    }
+
+    (*toVal).size = sizeof(Pixmap);
+    (*toVal).addr = (XPointer) &pmap ;
+}
+#endif
+
+#ifdef XRENDER
+static XtConvertArgRec xftColorConvertArgs[] = {
+    {XtWidgetBaseOffset, (XtPointer)XtOffsetOf(WidgetRec, core.screen),
+     sizeof(Screen *)},
+    {XtWidgetBaseOffset, (XtPointer)XtOffsetOf(WidgetRec, core.colormap),
+     sizeof(Colormap)}
+};
+
+#define	donestr(type, value, tstr) \
+	{							\
+	    if (toVal->addr != NULL) {				\
+		if (toVal->size < sizeof(type)) {		\
+		    toVal->size = sizeof(type);			\
+		    XtDisplayStringConversionWarning(dpy, 	\
+			(char*) fromVal->addr, tstr);		\
+		    return False;				\
+		}						\
+		*(type*)(toVal->addr) = (value);		\
+	    }							\
+	    else {						\
+		static type static_val;				\
+		static_val = (value);				\
+		toVal->addr = (XPointer)&static_val;		\
+	    }							\
+	    toVal->size = sizeof(type);				\
+	    return True;					\
+	}
+
+static void
+XmuFreeXftColor (XtAppContext app, XrmValuePtr toVal, XtPointer closure,
+		 XrmValuePtr args, Cardinal *num_args)
+{
+    Screen	*screen;
+    Colormap	colormap;
+    XftColor	*color;
+
+    if (*num_args != 2)
+    {
+	XtAppErrorMsg (app,
+		       "freeXftColor", "wrongParameters",
+		       "XtToolkitError",
+		       "Freeing an XftColor requires screen and colormap arguments",
+		       (String *) NULL, (Cardinal *)NULL);
+	return;
+    }
+
+    screen = *((Screen **) args[0].addr);
+    colormap = *((Colormap *) args[1].addr);
+    color = (XftColor *) toVal->addr;
+    XftColorFree (DisplayOfScreen (screen),
+		  DefaultVisual (DisplayOfScreen (screen),
+				 XScreenNumberOfScreen (screen)),
+		  colormap, color);
+}
+
+static Boolean
+XmuCvtStringToXftColor(Display *dpy,
+		       XrmValue *args, Cardinal *num_args,
+		       XrmValue *fromVal, XrmValue *toVal,
+		       XtPointer *converter_data)
+{
+    char	    *spec;
+    XRenderColor    renderColor;
+    XftColor	    xftColor;
+    Screen	    *screen;
+    Colormap	    colormap;
+
+    if (*num_args != 2)
+    {
+	XtAppErrorMsg (XtDisplayToApplicationContext (dpy),
+		       "cvtStringToXftColor", "wrongParameters",
+		       "XtToolkitError",
+		       "String to render color conversion needs screen and colormap arguments",
+		       (String *) NULL, (Cardinal *)NULL);
+	return False;
+    }
+
+    screen = *((Screen **) args[0].addr);
+    colormap = *((Colormap *) args[1].addr);
+
+    spec = (char *) fromVal->addr;
+    if (strcasecmp (spec, XtDefaultForeground) == 0)
+    {
+	renderColor.red = 0;
+	renderColor.green = 0;
+	renderColor.blue = 0;
+	renderColor.alpha = 0xffff;
+    }
+    else if (strcasecmp (spec, XtDefaultBackground) == 0)
+    {
+	renderColor.red = 0xffff;
+	renderColor.green = 0xffff;
+	renderColor.blue = 0xffff;
+	renderColor.alpha = 0xffff;
+    }
+    else if (!XRenderParseColor (dpy, spec, &renderColor))
+	return False;
+    if (!XftColorAllocValue (dpy,
+			     DefaultVisual (dpy,
+					    XScreenNumberOfScreen (screen)),
+			     colormap,
+			     &renderColor,
+			     &xftColor))
+	return False;
+
+    donestr (XftColor, xftColor, XtRXftColor);
+}
+
+static void
+XmuFreeXftFont (XtAppContext app, XrmValuePtr toVal, XtPointer closure,
+		XrmValuePtr args, Cardinal *num_args)
+{
+    Screen  *screen;
+    XftFont *font;
+
+    if (*num_args != 1)
+    {
+	XtAppErrorMsg (app,
+		       "freeXftFont", "wrongParameters",
+		       "XtToolkitError",
+		       "Freeing an XftFont requires screen argument",
+		       (String *) NULL, (Cardinal *)NULL);
+	return;
+    }
+
+    screen = *((Screen **) args[0].addr);
+    font = *((XftFont **) toVal->addr);
+    if (font)
+	XftFontClose (DisplayOfScreen (screen), font);
+}
+
+static Boolean
+XmuCvtStringToXftFont(Display *dpy,
+		      XrmValue *args, Cardinal *num_args,
+		      XrmValue *fromVal, XrmValue *toVal,
+		      XtPointer *converter_data)
+{
+    char    *name;
+    XftFont *font;
+    Screen  *screen;
+
+    if (*num_args != 1)
+    {
+	XtAppErrorMsg (XtDisplayToApplicationContext (dpy),
+		       "cvtStringToXftFont", "wrongParameters",
+		       "XtToolkitError",
+		       "String to XftFont conversion needs screen argument",
+		       (String *) NULL, (Cardinal *)NULL);
+	return False;
+    }
+
+    screen = *((Screen **) args[0].addr);
+    name = (char *) fromVal->addr;
+
+    font = XftFontOpenName (dpy,
+			    XScreenNumberOfScreen (screen),
+			    name);
+    if (font)
+    {
+	donestr (XftFont *, font, XtRXftFont);
+    }
+    XtDisplayStringConversionWarning(dpy, (char *) fromVal->addr, XtRXftFont);
+    return False;
+}
+
+static XtConvertArgRec xftFontConvertArgs[] = {
+    {XtWidgetBaseOffset, (XtPointer)XtOffsetOf(WidgetRec, core.screen),
+     sizeof(Screen *)},
+};
+
+#endif
+
+static void
+ClassInitialize(void)
+{
+#ifdef USE_XAW_PIXMAP_CVT
+    XawInitializeWidgetSet();
+#else
+    static XtConvertArgRec scrnConvertArg[] = {
+	{XtBaseOffset, (XtPointer) XtOffset(Widget, core.screen),
+	 sizeof(Screen *)}
+    };
+    XtAddConverter( XtRString, XtRPixmap, CvtStringToPixmap,
+	      	    scrnConvertArg, XtNumber(scrnConvertArg));
+#endif
+    XtAddConverter( XtRString, XtRBackingStore, XmuCvtStringToBackingStore,
+		    NULL, 0 );
+#ifdef XRENDER
+    XtSetTypeConverter (XtRString, XtRXftColor,
+			XmuCvtStringToXftColor,
+			xftColorConvertArgs, XtNumber(xftColorConvertArgs),
+			XtCacheByDisplay, XmuFreeXftColor);
+    XtSetTypeConverter (XtRString, XtRXftFont,
+			XmuCvtStringToXftFont,
+			xftFontConvertArgs, XtNumber(xftFontConvertArgs),
+			XtCacheByDisplay, XmuFreeXftFont);
+#endif
+}
+
+static char *
+TimeString (ClockWidget w, struct tm *tm)
+{
+   if (w->clock.brief)
+   {
+      if (w->clock.twentyfour)
+      {
+	  static char brief[6];
+	  sprintf (brief, "%02d:%02d", tm->tm_hour, tm->tm_min);
+	  return brief;
+      }
+      else
+      {
+	 static char brief[9];
+	 int hour = tm->tm_hour % 12;
+	 if (!hour) hour = 12;
+	 sprintf (brief, "%02d:%02d %cM", hour, tm->tm_min,
+	    tm->tm_hour >= 12 ? 'P' : 'A');
+	 return brief;
+      }
+   }
+   else if (w->clock.utime)
+   {
+      static char utime[35];
+      Time_t tsec;
+      tsec = time(NULL);
+      sprintf (utime, "%10lu seconds since Epoch", (unsigned long)tsec);
+      return utime;
+   } else if (*w->clock.strftime) {
+     /*Note: this code is probably excessively paranoid
+       about buffer overflow.  The extra size 10 padding
+       is also meant as a further guard against programmer
+       error, although it is a little controversial*/
+     static char ctime[STRFTIME_BUFF_SIZE+10];
+     ctime[0] = ctime[STRFTIME_BUFF_SIZE] = '\0';
+     if (0 < strftime (ctime, STRFTIME_BUFF_SIZE-1,w->clock.strftime, tm)) {
+       ctime[STRFTIME_BUFF_SIZE-1] = '\0';
+       return ctime;
+     } else {
+       return asctime (tm);
+     }
+   }
+   else if (w->clock.twentyfour)
+      return asctime (tm);
+   else
+   {
+      static char long12[28];
+      strftime(long12, sizeof long12, "%a %b %d %I:%M:%S %p %Y", tm);
+      return long12;
+   }
+}
+
+/* ARGSUSED */
+static void
+Initialize (Widget request, Widget new, ArgList args, Cardinal *num_args)
+{
+    ClockWidget w = (ClockWidget)new;
+    XtGCMask		valuemask;
+    XGCValues	myXGCV;
+    int min_height, min_width;
+
+    valuemask = GCForeground | GCBackground | GCFont | GCLineWidth;
+    if (w->clock.font != NULL)
+        myXGCV.font = w->clock.font->fid;
+    else
+        valuemask &= ~GCFont;	/* use server default font */
+
+    min_width = min_height = ANALOG_SIZE_DEFAULT;
+    if(!w->clock.analog) {
+       char *str;
+       struct tm tm;
+       Time_t time_value;
+       int len;
+
+#ifndef NO_I18N
+       w->clock.utf8 = False;
+
+       if (!no_locale) {
+	   char *time_locale = setlocale(LC_TIME, NULL);
+
+	   if (strstr(time_locale, "UTF-8") || strstr(time_locale, "utf8")) {
+	       w->clock.utf8 = True;
+	   }
+
+	   /*
+	    * initialize time format from CFTIME if set, otherwise
+	    * default to "%c".  This emulates ascftime, but we use
+	    * strftime so we can limit the string buffer size to
+	    * avoid possible buffer overflow.
+	    */
+	   if ((w->clock.strftime == NULL) || (w->clock.strftime[0] == 0)) {
+	       w->clock.strftime = getenv("CFTIME");
+	       if (w->clock.strftime == NULL) {
+		   w->clock.strftime = "%c";
+	       }
+	   }
+       }
+#endif /* NO_I18N */
+
+       (void) time(&time_value);
+       tm = *localtime(&time_value);
+       str = TimeString (w, &tm);
+       len = strlen(str);
+       if (len && str[len - 1] == '\n') str[--len] = '\0';
+
+#ifdef XRENDER
+       if (w->clock.render)
+       {
+	XGlyphInfo  extents;
+#ifndef NO_I18N
+# ifdef HAVE_ICONV
+	char *utf8_str;
+# endif
+	if (w->clock.utf8)
+	    XftTextExtentsUtf8 (XtDisplay (w), w->clock.face,
+				(FcChar8 *) str, len, &extents);
+# ifdef HAVE_ICONV
+	else if ((utf8_str = clock_to_utf8(str, len)) != NULL) {
+	        XftTextExtentsUtf8 (XtDisplay (w), w->clock.face,
+			(FcChar8 *)utf8_str, strlen(utf8_str), &extents);
+		free(utf8_str);
+	}
+# endif
+	else
+#endif
+	    XftTextExtents8 (XtDisplay (w), w->clock.face,
+			     (FcChar8 *) str, len, &extents);
+	min_width = extents.xOff + 2 * w->clock.padding;
+	min_height = w->clock.face->ascent + w->clock.face->descent +
+		     2 * w->clock.padding;
+        /*fprintf(stderr, "render min_width %i\n", min_width);*/
+       }
+       else
+#endif
+       { /* not XRENDER block */
+#ifndef NO_I18N
+	 if (!no_locale) {
+	   XFontSetExtents *fse;
+
+	   if(w->clock.fontSet == NULL) {
+	       char **missing, *default_str;
+	       int n_missing;
+	       w->clock.fontSet = XCreateFontSet( XtDisplay(w),
+		 XtDefaultFontSet,
+		 &missing,
+		 &n_missing,
+		 &default_str);
+	   }
+	   if (w->clock.fontSet != NULL) {
+	       /* don't free this... it's freed with the XFontSet. */
+	       fse = XExtentsOfFontSet(w->clock.fontSet);
+
+	       min_width = XmbTextEscapement(w->clock.fontSet,str,len) +
+		 2 * w->clock.padding;
+	       min_height = fse->max_logical_extent.height +
+		 3 * w->clock.padding;
+	       /*fprintf(stderr, "fontset min_width %i\n", min_width);*/
+	   } else {
+	       no_locale = True;
+	   }
+	 }
+
+	 if (no_locale)
+#endif /* NO_I18N */
+	 {
+	   if (w->clock.font == NULL)
+	       w->clock.font = XQueryFont( XtDisplay(w),
+					   XGContextFromGC(
+					    DefaultGCOfScreen(XtScreen(w))) );
+	   min_width = XTextWidth(w->clock.font, str, len) +
+	       2 * w->clock.padding;
+	   min_height = w->clock.font->ascent +
+	       w->clock.font->descent + 2 * w->clock.padding;
+	   /*fprintf(stderr, "font min_width %i\n", min_width);*/
+	 }
+       } /* not XRENDER block */
+    }
+    if (w->core.width == 0)
+	w->core.width = min_width;
+    if (w->core.height == 0)
+	w->core.height = min_height;
+
+    myXGCV.foreground = ClockFgPixel (w);
+    myXGCV.background = w->core.background_pixel;
+    if (w->clock.font != NULL)
+	myXGCV.font = w->clock.font->fid;
+    else
+	valuemask &= ~GCFont;	/* use server default font */
+    myXGCV.line_width = 0;
+    w->clock.myGC = XtGetGC((Widget)w, valuemask, &myXGCV);
+
+    valuemask = GCForeground | GCLineWidth | GCGraphicsExposures;
+    myXGCV.foreground = w->core.background_pixel;
+    if (w->core.background_pixmap != XtUnspecifiedPixmap) {
+	myXGCV.tile = w->core.background_pixmap;
+	myXGCV.fill_style = FillTiled;
+	valuemask |= (GCTile | GCFillStyle);
+    }
+    myXGCV.graphics_exposures = False;
+    w->clock.EraseGC = XtGetGC((Widget)w, valuemask, &myXGCV);
+    valuemask &= ~(GCTile | GCFillStyle);
+
+    myXGCV.foreground = w->clock.Hipixel;
+    w->clock.HighGC = XtGetGC((Widget)w, valuemask, &myXGCV);
+
+    valuemask = GCForeground;
+    myXGCV.foreground = w->clock.Hdpixel;
+    w->clock.HandGC = XtGetGC((Widget)w, valuemask, &myXGCV);
+
+    /* make invalid update's use a default */
+    /*if (w->clock.update <= 0) w->clock.update = 60;*/
+    w->clock.show_second_hand = (abs(w->clock.update) <= SECOND_HAND_TIME);
+    w->clock.numseg = 0;
+    w->clock.interval_id = 0;
+    memset (&w->clock.otm, '\0', sizeof (w->clock.otm));
+#ifdef XRENDER
+    {
+	int major, minor;
+
+	if (XRenderQueryVersion (XtDisplay (w), &major, &minor) &&
+	    (major > 0 ||
+	     (major == 0 && minor >= 4)))
+	{
+	    w->clock.can_polygon = True;
+	}
+	else
+	    w->clock.can_polygon = False;
+    }
+    w->clock.pixmap = 0;
+    w->clock.draw = NULL;
+    w->clock.damage.x = 0;
+    w->clock.damage.y = 0;
+    w->clock.damage.height = 0;
+    w->clock.damage.width = 0;
+#endif
+}
+
+#ifdef XRENDER
+static void
+RenderPrepare (ClockWidget  w, XftColor *color)
+{
+    if (!w->clock.draw)
+    {
+	Drawable    d = XtWindow (w);
+	if (w->clock.buffer)
+	{
+	    if (!w->clock.pixmap)
+	    {
+		Arg arg[1];
+		w->clock.pixmap = XCreatePixmap (XtDisplay (w), d,
+						 w->core.width,
+						 w->core.height,
+						 w->core.depth);
+		arg[0].name = XtNbackgroundPixmap;
+		arg[0].value = 0;
+		XtSetValues ((Widget) w, arg, 1);
+	    }
+	    d = w->clock.pixmap;
+	}
+
+	w->clock.draw = XftDrawCreate (XtDisplay (w), d,
+				       DefaultVisual (XtDisplay (w),
+						      DefaultScreen(XtDisplay (w))),
+				       w->core.colormap);
+	w->clock.picture = XftDrawPicture (w->clock.draw);
+    }
+    if (color)
+	w->clock.fill_picture = XftDrawSrcPicture (w->clock.draw, color);
+}
+
+static void
+RenderClip (ClockWidget w)
+{
+    Region	r;
+    Drawable	d;
+
+    RenderPrepare (w, NULL);
+    if (w->clock.buffer)
+	d = w->clock.pixmap;
+    else
+	d = XtWindow (w);
+    XFillRectangle (XtDisplay (w), d, w->clock.EraseGC,
+		    w->clock.damage.x,
+		    w->clock.damage.y,
+		    w->clock.damage.width,
+		    w->clock.damage.height);
+    r = XCreateRegion ();
+    XUnionRectWithRegion (&w->clock.damage,
+			  r, r);
+    XftDrawSetClip (w->clock.draw, r);
+    XDestroyRegion (r);
+}
+
+static void
+RenderTextBounds (ClockWidget w, char *str, int off, int len,
+		  XRectangle *bounds, int *xp, int *yp)
+{
+    XGlyphInfo  head, tail;
+    int	    x, y;
+
+#ifndef NO_I18N
+# ifdef HAVE_ICONV
+    char *utf8_str;
+# endif
+    if (w->clock.utf8)
+    {
+	XftTextExtentsUtf8 (XtDisplay (w), w->clock.face,
+			    (FcChar8 *) str, off, &head);
+	XftTextExtentsUtf8 (XtDisplay (w), w->clock.face,
+			    (FcChar8 *) str + off, len - off, &tail);
+    }
+# ifdef HAVE_ICONV
+    else if ((utf8_str = clock_to_utf8(str, off)) != NULL)
+    {
+	XftTextExtentsUtf8 (XtDisplay (w), w->clock.face,
+			    (FcChar8 *)utf8_str, strlen(utf8_str), &head);
+	free(utf8_str);
+	if ((utf8_str = clock_to_utf8(str+off, len-off)) != NULL) {
+	  XftTextExtentsUtf8 (XtDisplay (w), w->clock.face,
+			      (FcChar8 *)utf8_str, strlen(utf8_str), &tail);
+	  free(utf8_str);
+	} else
+	  goto fallback;
+    }
+# endif
+    else
+#endif
+    {
+    fallback:
+	XftTextExtents8 (XtDisplay (w), w->clock.face, (FcChar8 *) str,
+			 off, &head);
+	XftTextExtents8 (XtDisplay (w), w->clock.face, (FcChar8 *) str + off,
+			 len - off, &tail);
+    }
+
+    /*
+     * Compute position of tail
+     */
+    x = w->clock.padding + head.xOff;
+    y = w->clock.face->ascent + w->clock.padding + head.yOff;
+    /*
+     * Compute bounds of tail, pad a bit as the bounds aren't exact
+     */
+    bounds->x = x - tail.x - 1;
+    bounds->y = y - tail.y - 1;
+    bounds->width = tail.width + 2;
+    bounds->height = tail.height + 2;
+    if (xp) *xp = x;
+    if (yp) *yp = y;
+}
+
+static void
+RenderUpdateRectBounds (XRectangle *damage, XRectangle *bounds)
+{
+    int	    x1 = bounds->x;
+    int	    y1 = bounds->y;
+    int	    x2 = bounds->x + bounds->width;
+    int	    y2 = bounds->y + bounds->height;
+    int	    d_x1 = damage->x;
+    int	    d_y1 = damage->y;
+    int	    d_x2 = damage->x + damage->width;
+    int	    d_y2 = damage->y + damage->height;
+
+    if (x1 == x2)
+    {
+	x1 = d_x1;
+	x2 = d_x2;
+    }
+    else
+    {
+	if (d_x1 < x1) x1 = d_x1;
+	if (d_x2 > x2) x2 = d_x2;
+    }
+    if (y1 == y2)
+    {
+	y1 = d_y1;
+	y2 = d_y2;
+    }
+    else
+    {
+	if (d_y1 < y1) y1 = d_y1;
+	if (d_y2 > y2) y2 = d_y2;
+    }
+
+    bounds->x = x1;
+    bounds->y = y1;
+    bounds->width = x2 - x1;
+    bounds->height = y2 - y1;
+}
+
+static Boolean
+RenderRectIn (XRectangle *rect, XRectangle *bounds)
+{
+    int	    x1 = bounds->x;
+    int	    y1 = bounds->y;
+    int	    x2 = bounds->x + bounds->width;
+    int	    y2 = bounds->y + bounds->height;
+    int	    r_x1 = rect->x;
+    int	    r_y1 = rect->y;
+    int	    r_x2 = rect->x + rect->width;
+    int	    r_y2 = rect->y + rect->height;
+
+    return r_x1 < x2 && x1 < r_x2 && r_y1 < y2 && y1 < r_y2;
+}
+
+#define LINE_WIDTH  0.01
+#include <math.h>
+
+#define XCoord(x,w) ((x) * (w)->clock.x_scale + (w)->clock.x_off)
+#define YCoord(y,w) ((y) * (w)->clock.y_scale + (w)->clock.y_off)
+
+static void
+RenderUpdateBounds (XPointDouble *points, int npoints, XRectangle *bounds)
+{
+    int	    x1 = bounds->x;
+    int	    y1 = bounds->y;
+    int	    x2 = bounds->x + bounds->width;
+    int	    y2 = bounds->y + bounds->height;
+
+    while (npoints--)
+    {
+	int	    r_x1 = points[0].x;
+	int	    r_y1 = points[0].y;
+	int	    r_x2 = points[0].x + 1;
+	int	    r_y2 = points[0].y + 1;
+
+	if (x1 == x2)
+	    x2 = x1 = r_x1;
+	if (y1 == y2)
+	    y2 = y1 = r_y1;
+	if (r_x1 < x1) x1 = r_x1;
+	if (r_y1 < y1) y1 = r_y1;
+	if (r_x2 > x2) x2 = r_x2;
+	if (r_y2 > y2) y2 = r_y2;
+	points++;
+    }
+    bounds->x = x1;
+    bounds->y = y1;
+    bounds->width = x2 - x1;
+    bounds->height = y2 - y1;
+}
+
+static Boolean
+RenderCheckBounds (XPointDouble *points, int npoints, XRectangle *bounds)
+{
+    int	    x1 = bounds->x;
+    int	    y1 = bounds->y;
+    int	    x2 = bounds->x + bounds->width;
+    int	    y2 = bounds->y + bounds->height;
+
+    while (npoints--)
+    {
+	if (x1 <= points->x && points->x <= x2 &&
+	    y1 <= points->y && points->y <= y2)
+	    return True;
+	points++;
+    }
+    return False;
+}
+
+static void
+RenderUpdate (ClockWidget w)
+{
+    if (w->clock.buffer && w->clock.pixmap)
+    {
+	XCopyArea (XtDisplay (w), w->clock.pixmap,
+		   XtWindow (w), w->clock.EraseGC,
+		   w->clock.damage.x, w->clock.damage.y,
+		   w->clock.damage.width, w->clock.damage.height,
+		   w->clock.damage.x, w->clock.damage.y);
+    }
+}
+
+static void
+RenderResetBounds (XRectangle *bounds)
+{
+    bounds->x = 0;
+    bounds->y = 0;
+    bounds->width = 0;
+    bounds->height = 0;
+}
+
+static void
+RenderLine (ClockWidget w, XDouble x1, XDouble y1, XDouble x2, XDouble y2,
+	    XftColor *color,
+	    Boolean draw)
+{
+    XPointDouble    poly[4];
+    XDouble	    dx = (x2 - x1);
+    XDouble	    dy = (y2 - y1);
+    XDouble	    len = sqrt (dx*dx + dy*dy);
+    XDouble	    ldx = (LINE_WIDTH/2.0) * dy / len;
+    XDouble	    ldy = (LINE_WIDTH/2.0) * dx / len;
+
+    poly[0].x = XCoord (x1 + ldx, w);
+    poly[0].y = YCoord (y1 - ldy, w);
+
+    poly[1].x = XCoord (x2 + ldx, w);
+    poly[1].y = YCoord (y2 - ldy, w);
+
+    poly[2].x = XCoord (x2 - ldx, w);
+    poly[2].y = YCoord (y2 + ldy, w);
+
+    poly[3].x = XCoord (x1 - ldx, w);
+    poly[3].y = YCoord (y1 + ldy, w);
+
+    RenderUpdateBounds (poly, 4, &w->clock.damage);
+    if (draw)
+    {
+	if (RenderCheckBounds (poly, 4, &w->clock.damage))
+	{
+	    RenderPrepare (w, color);
+	    XRenderCompositeDoublePoly (XtDisplay (w),
+					PictOpOver,
+					w->clock.fill_picture,
+					w->clock.picture,
+					w->clock.mask_format,
+					0, 0, 0, 0, poly, 4, EvenOddRule);
+	}
+    }
+    else
+	RenderUpdateBounds (poly, 4, &w->clock.damage);
+}
+
+static void
+RenderRotate (ClockWidget w, XPointDouble *out, double x, double y, double s, double c)
+{
+    out->x = XCoord (x * c - y * s, w);
+    out->y = YCoord (y * c + x * s, w);
+}
+
+static void
+RenderHand (ClockWidget w, int tick_units, int size, XftColor *color,
+	    Boolean draw)
+{
+    double	    c, s;
+    XPointDouble    poly[3];
+    double	    outer_x;
+    double	    inner_y;
+
+    ClockAngle (tick_units, &c, &s);
+    s = -s;
+
+    /* compute raw positions */
+    outer_x = size / 100.0;
+    inner_y = HAND_WIDTH_FRACT / 100.0;
+
+    /* rotate them into position */
+    RenderRotate (w, &poly[0], outer_x, 0.0, s, c);
+    RenderRotate (w, &poly[1], -inner_y, inner_y, s, c);
+    RenderRotate (w, &poly[2], -inner_y, -inner_y, s, c);
+
+    if (draw)
+    {
+	if (RenderCheckBounds (poly, 3, &w->clock.damage))
+	{
+	    RenderPrepare (w, color);
+	    XRenderCompositeDoublePoly (XtDisplay (w),
+					PictOpOver,
+					w->clock.fill_picture,
+					w->clock.picture,
+					w->clock.mask_format,
+					0, 0, 0, 0, poly, 3, EvenOddRule);
+	}
+    }
+    RenderUpdateBounds (poly, 3, &w->clock.damage);
+}
+
+static void
+RenderHands (ClockWidget w, struct tm *tm, Boolean draw)
+{
+    RenderHand (w, tm->tm_hour * 300 + tm->tm_min*5, HOUR_HAND_FRACT, &w->clock.hour_color, draw);
+    RenderHand (w, tm->tm_min * 60 + tm->tm_sec, MINUTE_HAND_FRACT, &w->clock.min_color, draw);
+}
+
+static void
+RenderSec (ClockWidget w, struct tm *tm, Boolean draw)
+{
+    double	    c, s;
+    XPointDouble    poly[10];
+    double	    inner_x, middle_x, outer_x, far_x;
+    double	    middle_y;
+    double	    line_y;
+
+    ClockAngle (tm->tm_sec * 60, &c, &s);
+
+    s = -s;
+
+    /*
+     * Compute raw positions
+     */
+    line_y = LINE_WIDTH;
+    inner_x = (MINUTE_HAND_FRACT / 100.0);
+    middle_x = ((SECOND_HAND_FRACT + MINUTE_HAND_FRACT) / 200.0);
+    outer_x = (SECOND_HAND_FRACT / 100.0);
+    far_x = (MINOR_TICK_FRACT / 100.0);
+    middle_y = (SECOND_WIDTH_FRACT / 100.0);
+
+    /*
+     * Rotate them into position
+     */
+    RenderRotate (w, &poly[0], -line_y, line_y, s, c);
+    RenderRotate (w, &poly[1], inner_x, line_y, s, c);
+    RenderRotate (w, &poly[2], middle_x, middle_y, s, c);
+    RenderRotate (w, &poly[3], outer_x, line_y, s, c);
+    RenderRotate (w, &poly[4], far_x, line_y, s, c);
+    RenderRotate (w, &poly[5], far_x, -line_y, s, c);
+    RenderRotate (w, &poly[6], outer_x, -line_y, s, c);
+    RenderRotate (w, &poly[7], middle_x, -middle_y, s, c);
+    RenderRotate (w, &poly[8], inner_x, -line_y, s, c);
+    RenderRotate (w, &poly[9], -line_y, -line_y, s, c);
+
+    if (draw)
+    {
+	if (RenderCheckBounds (poly, 10, &w->clock.damage))
+	{
+	    RenderPrepare (w, &w->clock.sec_color);
+	    XRenderCompositeDoublePoly (XtDisplay (w),
+					PictOpOver,
+					w->clock.fill_picture,
+					w->clock.picture,
+					w->clock.mask_format,
+					0, 0, 0, 0, poly, 10, EvenOddRule);
+	}
+    }
+    else
+    {
+	RenderUpdateBounds (poly, 10, &w->clock.damage);
+    }
+}
+
+#endif
+
+static void
+Realize(Widget gw, XtValueMask *valueMask, XSetWindowAttributes *attrs)
+{
+     ClockWidget	w = (ClockWidget) gw;
+#ifdef notdef
+     *valueMask |= CWBitGravity;
+     attrs->bit_gravity = ForgetGravity;
+#endif
+     switch (w->clock.backing_store) {
+     case Always:
+     case NotUseful:
+     case WhenMapped:
+     	*valueMask |=CWBackingStore;
+	attrs->backing_store = w->clock.backing_store;
+	break;
+     }
+     (*clockWidgetClass->core_class.superclass->core_class.realize)
+	 (gw, valueMask, attrs);
+     Resize(gw);
+}
+
+static void
+Destroy(Widget gw)
+{
+     ClockWidget w = (ClockWidget) gw;
+     if (w->clock.interval_id) XtRemoveTimeOut (w->clock.interval_id);
+#ifdef XRENDER
+    if (w->clock.picture)
+	XRenderFreePicture (XtDisplay(w), w->clock.picture);
+    if (w->clock.fill_picture)
+	XRenderFreePicture (XtDisplay(w), w->clock.fill_picture);
+#endif
+     XtReleaseGC (gw, w->clock.myGC);
+     XtReleaseGC (gw, w->clock.HighGC);
+     XtReleaseGC (gw, w->clock.HandGC);
+     XtReleaseGC (gw, w->clock.EraseGC);
+}
+
+static void
+Resize(Widget gw)
+{
+    ClockWidget w = (ClockWidget) gw;
+    /* don't do this computation if window hasn't been realized yet. */
+    if (XtIsRealized(gw) && w->clock.analog) {
+	/* need signed value since Dimension is unsigned */
+	int radius = ((int) min(w->core.width, w->core.height) - (int) (2 * w->clock.padding)) / 2;
+        w->clock.radius = (Dimension) max (radius, 1);
+
+        w->clock.second_hand_length = (int)(SECOND_HAND_FRACT * w->clock.radius) / 100;
+        w->clock.minute_hand_length = (int)(MINUTE_HAND_FRACT * w->clock.radius) / 100;
+        w->clock.hour_hand_length = (int)(HOUR_HAND_FRACT * w->clock.radius) / 100;
+        w->clock.hand_width = (int)(HAND_WIDTH_FRACT * w->clock.radius) / 100;
+        w->clock.second_hand_width = (int)(SECOND_WIDTH_FRACT * w->clock.radius) / 100;
+
+        w->clock.centerX = w->core.width / 2;
+        w->clock.centerY = w->core.height / 2;
+    }
+#ifdef XRENDER
+    w->clock.x_scale = 0.45 * w->core.width;
+    w->clock.y_scale = 0.45 * w->core.height;
+    w->clock.x_off = 0.5 * w->core.width;
+    w->clock.y_off = 0.5 * w->core.height;
+    if (w->clock.pixmap)
+    {
+	XFreePixmap (XtDisplay (w), w->clock.pixmap);
+	w->clock.pixmap = 0;
+	if (w->clock.draw)
+	{
+	    XftDrawDestroy (w->clock.draw);
+	    w->clock.draw = NULL;
+	}
+	w->clock.picture = 0;
+    }
+#endif
+}
+
+/* ARGSUSED */
+static void
+Redisplay(Widget gw, XEvent *event, Region region)
+{
+    ClockWidget w = (ClockWidget) gw;
+    if (w->clock.analog) {
+#ifdef XRENDER
+	if (w->clock.render && w->clock.can_polygon)
+	    XClipBox (region, &w->clock.damage);
+	else
+#endif
+	{
+	    if (w->clock.numseg != 0)
+		erase_hands (w, (struct tm *) 0);
+	    DrawClockFace(w);
+	}
+    } else {
+#ifdef XRENDER
+	if (w->clock.render)
+	    XClipBox (region, &w->clock.damage);
+#endif
+	w->clock.prev_time_string[0] = '\0';
+    }
+    clock_tic((XtPointer)w, (XtIntervalId *)NULL);
+}
+
+/* Choose the update times for well-defined clock states.
+ *
+ * For example, in HH:MM:SS notation the last number rolls over
+ * every 60 seconds and has at most 60 display states.  The sequence
+ * depends on its initial value t0 and the update period u, e.g.
+ *
+ *   u (s)  d (s)  ti (s)                    m (states)  l (s)
+ *    2      2     {0,2, .. 58}              30            60
+ *    7      1     {0,7, .. 56,3, .. 53}     60           420
+ *   15     15     {0,15,30,45}               4            60
+ *   45     15     {0,45,30,15}               4           180
+ *   53      1     {0,53,46, .. 4,57, .. 7}  60          3180
+ *   58      2     {0,58,56, .. 2}           30          1740
+ *   60     60     {0}                        1            60
+ *
+ * u=  update period in seconds,
+ * ti= time at update i from the reference, HH:MM:00 or HH:00:00,
+ * n=  the roll over time, the modulus, 60 s or 3600 s,
+ * m=  the sequence length, the order of u in the modulo n group Z/nZ,
+ * l=  the total sequence duration =m*u.
+ * d=  gcd(n,u) the greatest common divisor
+ *
+ * The time t(i) determines the clock state.  It follows from
+ *
+ *   t(i)=t(i-1)+u mod n  <=>  t(i)=t(0)+i*u mod n
+ *
+ * which defines a { t(0) .. t(m-1) } sequence of m unique elements.
+ * Hence, u generates a subgroup U={k*u mod n : k in Z} of Z/nZ so
+ * its order m divides n.  This m satisfies
+ *
+ *   t(m)=t(0)  <=>  m*u mod n = 0  <=>  m*u = r*n  <=>  m=n/d, r=u/d
+ *
+ * where d divides n and u.  Choosing
+ *
+ *   d=gcd(n,u)  <=>  n/d and u/d are coprime  =>  m=n/d is minimum
+ *
+ * thus gives the order.  Furthermore, the greatest common divisor d is
+ * also the minimum value generator of the set U.  Assume a generator e
+ * where
+ *
+ *   e|{n,u}  <=>  Ai,Ej: i*u mod n = j*e  <=>  j=f(i)=(i*u mod n)/e
+ *
+ * such that f maps i to m=ord(u) unique values of j.  Its properties are
+ *
+ *   j=i*u/e mod n/e   ==>  0<=j<n/e
+ *
+ *   ord(u/e, mod n/e)=n/e/gcd(n/e,u/e)=n/d=m  ==>  J={j=f(i)}, |J|=m
+ *
+ *   ord(e)=n/gcd(n,e)=n/e
+ *
+ * from wich follows
+ *
+ *   e=d  ==>  f: I={0,..,m-1} -> J={0,..,m-1}: j=i*r mod m is bijective
+ *        ==>  D={k*d mod n : k in Z} = U.
+ *
+ * Any value e below d is no generator since it yields a non contiguous
+ * J such that an l=0..n/e-1 exists not in J with l*e not in U.
+ *
+ * The update sequence t(i) could be followed using the algorithm:
+ *
+ *   1. restore the expected value into t(i),
+ *   2. calculate the next timeout t(i+1)=t(i)+u mod n,
+ *   3. verify that the current tc(i) is between t(i)..t(i+1),
+ *   4. calculate the time to wait w=t(i+1)-tc(i) mod n,
+ *   5. store t(i+1),
+ *
+ * which implements state tracking.  This approach doesn't work well
+ * since the set timeout w does not guarantee a next call at time
+ * t(i+1), e.g. due to progam sleeps, time adjustments, and leap
+ * seconds.  A robust method should only rely on the current time
+ * tc(i) to identify t(i).  The derivation above shows 2 options:
+ *
+ *   1.  n={60,3600} and round to a multiple of d,
+ *       but if d<u then the sequence is not guaranteed.
+ *   2.  choose n large and round to a multiple of u,
+ *       but then the sequence resets at roll-over.
+ *
+ * The code below implements (2) with n this year's duration in seconds
+ * and using local time year's start as epoch.
+ */
+static unsigned long
+waittime(int update, struct timeval *tv, struct tm *tm)
+{
+  int twait;
+  long twaitms;
+  unsigned long retval;
+
+  if(update>0) {
+    long tcur;
+    int trem;
+
+    tcur=tm->tm_sec+60*(tm->tm_min+60*(tm->tm_hour+24*tm->tm_yday));
+    /* ti=floor(tcur/u)*u, w=u-(tcur-ti), and tcur-ti==tcur % u */
+    trem=tcur % update;
+    twait=update-trem;
+  } else {
+    twait=-update;
+  }
+
+  if(tv->tv_usec>0) {
+    long usec;
+    twait--;
+    usec=1000000-tv->tv_usec;
+    twaitms=(usec+999)/1000;  /* must round up to avoid zero retval */
+  } else {
+    twaitms=0;
+  }
+
+  retval=(unsigned long)labs(twaitms+1000*twait);
+  return retval;
+}
+
+/* ARGSUSED */
+static void
+clock_tic(XtPointer client_data, XtIntervalId *id)
+{
+        ClockWidget w = (ClockWidget)client_data;
+	struct tm tm;
+	Time_t	time_value;
+	struct timeval	tv;
+	char	*time_ptr;
+        register Display *dpy = XtDisplay(w);
+        register Window win = XtWindow(w);
+
+	X_GETTIMEOFDAY (&tv);
+	time_value = tv.tv_sec;
+	tm = *localtime(&time_value);
+	if (w->clock.update && (id || !w->clock.interval_id))
+	    w->clock.interval_id =
+		XtAppAddTimeOut( XtWidgetToApplicationContext( (Widget) w),
+				 waittime(w->clock.update, &tv, &tm),
+				 clock_tic, (XtPointer)w );
+	/*
+	 * Beep on the half hour; double-beep on the hour.
+	 */
+	if (w->clock.chime == TRUE) {
+	    if (w->clock.beeped && (tm.tm_min != 30) &&
+		(tm.tm_min != 0))
+	      w->clock.beeped = FALSE;
+	    if (((tm.tm_min == 30) || (tm.tm_min == 0))
+		&& (!w->clock.beeped)) {
+		w->clock.beeped = TRUE;
+#ifdef XKB
+		if (tm.tm_min==0) {
+		    XkbStdBell(dpy,win,50,XkbBI_ClockChimeHour);
+		    XkbStdBell(dpy,win,50,XkbBI_RepeatingLastBell);
+		}
+		else {
+		    XkbStdBell(dpy,win,50,XkbBI_ClockChimeHalf);
+		}
+#else
+		XBell(dpy, 50);
+		if (tm.tm_min == 0)
+		  XBell(dpy, 50);
+#endif
+	    }
+	}
+	if( w->clock.analog == FALSE ) {
+	    int	clear_from = w->core.width;
+	    int i, len, prev_len;
+
+	    time_ptr = TimeString (w, &tm);
+	    len = strlen (time_ptr);
+	    if (len && time_ptr[len - 1] == '\n') time_ptr[--len] = '\0';
+	    prev_len = strlen (w->clock.prev_time_string);
+	    for (i = 0; ((i < len) && (i < prev_len) &&
+	    		 (w->clock.prev_time_string[i] == time_ptr[i])); i++);
+
+#ifdef XRENDER
+	    if (w->clock.render)
+	    {
+		XRectangle  old_tail, new_tail, head;
+		int	    x, y;
+#if !defined(NO_I18N) && defined(HAVE_ICONV)
+		char *utf8_str;
+#endif
+
+		RenderTextBounds (w, w->clock.prev_time_string, i, prev_len,
+				  &old_tail, NULL, NULL);
+		RenderUpdateRectBounds (&old_tail, &w->clock.damage);
+		RenderTextBounds (w, time_ptr, i, len,
+				  &new_tail, NULL, NULL);
+		RenderUpdateRectBounds (&new_tail, &w->clock.damage);
+
+		while (i)
+		{
+		    RenderTextBounds (w, time_ptr, 0, i, &head, NULL, NULL);
+		    if (!RenderRectIn (&head, &w->clock.damage))
+			break;
+		    i--;
+		}
+		RenderTextBounds (w, time_ptr, i, len, &new_tail, &x, &y);
+		RenderClip (w);
+		RenderPrepare (w, NULL);
+#ifndef NO_I18N
+		if (w->clock.utf8) {
+		    XftDrawStringUtf8 (w->clock.draw,
+				    &w->clock.fg_color,
+				    w->clock.face,
+				    x, y,
+				    (FcChar8 *) time_ptr + i, len - i);
+
+		}
+# ifdef HAVE_ICONV
+		else if ((utf8_str =
+		    clock_to_utf8(time_ptr + i, len - i)) != NULL) {
+		    	XftDrawStringUtf8 (w->clock.draw,
+				    &w->clock.fg_color,
+				    w->clock.face,
+				    x, y,
+				    (FcChar8 *)utf8_str, strlen(utf8_str) );
+		    free(utf8_str);
+		}
+# endif
+		else
+#endif
+		{
+		    XftDrawString8 (w->clock.draw,
+				    &w->clock.fg_color,
+				    w->clock.face,
+				    x, y,
+				    (FcChar8 *) time_ptr + i, len - i);
+		}
+		RenderUpdate (w);
+		RenderResetBounds (&w->clock.damage);
+	    }
+	    else
+#endif
+#ifndef NO_I18N
+	    if(!no_locale) {
+		if(0 < len) {
+		    XFontSetExtents *fse
+		      = XExtentsOfFontSet(w->clock.fontSet);
+
+		    XmbDrawImageString(dpy,win,w->clock.fontSet,w->clock.myGC,
+				       (2+w->clock.padding +
+					(i?XmbTextEscapement(w->clock.fontSet,
+							     time_ptr,i):0)),
+				       2+w->clock.padding+fse->max_logical_extent.height,
+				       time_ptr+i,len-i
+			);
+		    /*
+		     * Clear any left over bits
+		     */
+		    clear_from = XmbTextEscapement (w->clock.fontSet,time_ptr,
+						    len) + 2+w->clock.padding;
+		}
+	    } else
+#endif /* NO_I18N */
+	    {
+		XDrawImageString (dpy, win, w->clock.myGC,
+				  (1+w->clock.padding +
+				   XTextWidth (w->clock.font, time_ptr, i)),
+				  w->clock.font->ascent+w->clock.padding,
+				  time_ptr + i, len - i);
+		/*
+		 * Clear any left over bits
+		 */
+		clear_from = XTextWidth (w->clock.font, time_ptr, len)
+		    	     + 2 + w->clock.padding;
+	    }
+	    if (clear_from < (int)w->core.width)
+		XClearArea (dpy, win,
+		    clear_from, 0, w->core.width - clear_from, w->core.height,
+		    False);
+#if defined(HAS_STRLCAT) || defined(HAVE_STRLCPY)
+	    strlcpy (w->clock.prev_time_string+i, time_ptr+i,
+		     sizeof(w->clock.prev_time_string)-i);
+#else
+	    strncpy (w->clock.prev_time_string+i, time_ptr+i,
+		     sizeof(w->clock.prev_time_string)-i);
+	    w->clock.prev_time_string[sizeof(w->clock.prev_time_string)-1] = 0;
+#endif
+	} else {
+			/*
+			 * The second (or minute) hand is sec (or min)
+			 * sixtieths around the clock face. The hour hand is
+			 * (hour + min/60) twelfths of the way around the
+			 * clock-face.  The derivation is left as an excercise
+			 * for the reader.
+			 */
+
+			/*
+			 * 12 hour clock.
+			 */
+			if(tm.tm_hour >= 12)
+				tm.tm_hour -= 12;
+
+#ifdef XRENDER
+			if (w->clock.render && w->clock.can_polygon)
+			{
+			    w->clock.mask_format = XRenderFindStandardFormat (XtDisplay (w),
+									      w->clock.sharp ?
+									      PictStandardA1 :
+									      PictStandardA8);
+			    /*
+			     * Compute repaint area
+			     */
+			    if (tm.tm_min != w->clock.otm.tm_min ||
+				tm.tm_hour != w->clock.otm.tm_hour ||
+				tm.tm_sec != w->clock.otm.tm_sec)
+			    {
+				RenderHands (w, &w->clock.otm, False);
+				RenderHands (w, &tm, False);
+			    }
+			    if (w->clock.show_second_hand &&
+				tm.tm_sec != w->clock.otm.tm_sec)
+			    {
+				RenderSec (w, &w->clock.otm, False);
+				RenderSec (w, &tm, False);
+			    }
+			    if (w->clock.damage.width &&
+				w->clock.damage.height)
+			    {
+				RenderClip (w);
+				DrawClockFace (w);
+				RenderHands (w, &tm, True);
+				if (w->clock.show_second_hand == TRUE)
+				    RenderSec (w, &tm, True);
+			    }
+			    w->clock.otm = tm;
+			    RenderUpdate (w);
+			    RenderResetBounds (&w->clock.damage);
+			    return;
+			}
+#endif
+
+			erase_hands (w, &tm);
+
+		    if (w->clock.numseg == 0 ||
+			tm.tm_min != w->clock.otm.tm_min ||
+			tm.tm_hour != w->clock.otm.tm_hour) {
+			    w->clock.segbuffptr = w->clock.segbuff;
+			    w->clock.numseg = 0;
+			    /*
+			     * Calculate the hour hand, fill it in with its
+			     * color and then outline it.  Next, do the same
+			     * with the minute hand.  This is a cheap hidden
+			     * line algorithm.
+			     */
+			    DrawHand(w,
+				w->clock.minute_hand_length, w->clock.hand_width,
+				tm.tm_min * 60
+			    );
+			    if(w->clock.Hdpixel != w->core.background_pixel)
+				XFillPolygon( dpy,
+				    win, w->clock.HandGC,
+				    w->clock.segbuff, VERTICES_IN_HANDS,
+				    Convex, CoordModeOrigin
+				);
+			    XDrawLines( dpy,
+				win, w->clock.HighGC,
+				w->clock.segbuff, VERTICES_IN_HANDS,
+				       CoordModeOrigin);
+			    w->clock.hour = w->clock.segbuffptr;
+			    DrawHand(w,
+				w->clock.hour_hand_length, w->clock.hand_width,
+				tm.tm_hour * 300 + tm.tm_min * 5
+			    );
+			    if(w->clock.Hdpixel != w->core.background_pixel) {
+			      XFillPolygon(dpy,
+					   win, w->clock.HandGC,
+					   w->clock.hour,
+					   VERTICES_IN_HANDS,
+					   Convex, CoordModeOrigin
+					   );
+			    }
+			    XDrawLines( dpy,
+				       win, w->clock.HighGC,
+				       w->clock.hour, VERTICES_IN_HANDS,
+				       CoordModeOrigin );
+
+			    w->clock.sec = w->clock.segbuffptr;
+		    }
+		    if (w->clock.show_second_hand == TRUE) {
+			    w->clock.segbuffptr = w->clock.sec;
+			    DrawSecond(w,
+				w->clock.second_hand_length - 2,
+				w->clock.second_hand_width,
+				w->clock.minute_hand_length + 2,
+				tm.tm_sec * 60
+			    );
+			    if(w->clock.Hdpixel != w->core.background_pixel)
+				XFillPolygon( dpy,
+				    win, w->clock.HandGC,
+				    w->clock.sec,
+				    VERTICES_IN_HANDS -2,
+				    Convex, CoordModeOrigin
+			    );
+			    XDrawLines( dpy,
+				       win, w->clock.HighGC,
+				       w->clock.sec,
+				       VERTICES_IN_HANDS-1,
+				       CoordModeOrigin
+				        );
+
+			}
+			w->clock.otm = tm;
+		}
+}
+
+static void
+erase_hands(ClockWidget w, struct tm *tm)
+{
+    /*
+     * Erase old hands.
+     */
+    if(w->clock.numseg > 0) {
+	Display	*dpy;
+	Window	win;
+
+	dpy = XtDisplay (w);
+	win = XtWindow (w);
+	if (w->clock.show_second_hand == TRUE) {
+	    XDrawLines(dpy, win,
+		w->clock.EraseGC,
+		w->clock.sec,
+		VERTICES_IN_HANDS-1,
+		CoordModeOrigin);
+	    if(w->clock.Hdpixel != w->core.background_pixel) {
+		XFillPolygon(dpy,
+			win, w->clock.EraseGC,
+			w->clock.sec,
+			VERTICES_IN_HANDS-2,
+			Convex, CoordModeOrigin
+			);
+	    }
+	}
+	if(!tm || tm->tm_min != w->clock.otm.tm_min ||
+		  tm->tm_hour != w->clock.otm.tm_hour)
+ 	{
+	    XDrawLines( dpy, win,
+			w->clock.EraseGC,
+			w->clock.segbuff,
+			VERTICES_IN_HANDS,
+			CoordModeOrigin);
+	    XDrawLines( dpy, win,
+			w->clock.EraseGC,
+			w->clock.hour,
+			VERTICES_IN_HANDS,
+			CoordModeOrigin);
+	    if(w->clock.Hdpixel != w->core.background_pixel) {
+		XFillPolygon( dpy, win,
+ 			      w->clock.EraseGC,
+			      w->clock.segbuff, VERTICES_IN_HANDS,
+			      Convex, CoordModeOrigin);
+		XFillPolygon( dpy, win,
+ 			      w->clock.EraseGC,
+			      w->clock.hour,
+			      VERTICES_IN_HANDS,
+			      Convex, CoordModeOrigin);
+	    }
+	}
+    }
+}
+
+static float const Sines[] = {
+0.000000, 0.001745, 0.003490, 0.005235, 0.006981, 0.008726, 0.010471, 0.012217,
+0.013962, 0.015707, 0.017452, 0.019197, 0.020942, 0.022687, 0.024432, 0.026176,
+0.027921, 0.029666, 0.031410, 0.033155, 0.034899, 0.036643, 0.038387, 0.040131,
+0.041875, 0.043619, 0.045362, 0.047106, 0.048849, 0.050592, 0.052335, 0.054078,
+0.055821, 0.057564, 0.059306, 0.061048, 0.062790, 0.064532, 0.066273, 0.068015,
+0.069756, 0.071497, 0.073238, 0.074978, 0.076719, 0.078459, 0.080198, 0.081938,
+0.083677, 0.085416, 0.087155, 0.088894, 0.090632, 0.092370, 0.094108, 0.095845,
+0.097582, 0.099319, 0.101056, 0.102792, 0.104528, 0.106264, 0.107999, 0.109734,
+0.111468, 0.113203, 0.114937, 0.116670, 0.118403, 0.120136, 0.121869, 0.123601,
+0.125333, 0.127064, 0.128795, 0.130526, 0.132256, 0.133986, 0.135715, 0.137444,
+0.139173, 0.140901, 0.142628, 0.144356, 0.146083, 0.147809, 0.149535, 0.151260,
+0.152985, 0.154710, 0.156434, 0.158158, 0.159881, 0.161603, 0.163325, 0.165047,
+0.166768, 0.168489, 0.170209, 0.171929, 0.173648, 0.175366, 0.177084, 0.178802,
+0.180519, 0.182235, 0.183951, 0.185666, 0.187381, 0.189095, 0.190808, 0.192521,
+0.194234, 0.195946, 0.197657, 0.199367, 0.201077, 0.202787, 0.204496, 0.206204,
+0.207911, 0.209618, 0.211324, 0.213030, 0.214735, 0.216439, 0.218143, 0.219846,
+0.221548, 0.223250, 0.224951, 0.226651, 0.228350, 0.230049, 0.231747, 0.233445,
+0.235142, 0.236838, 0.238533, 0.240228, 0.241921, 0.243615, 0.245307, 0.246999,
+0.248689, 0.250380, 0.252069, 0.253757, 0.255445, 0.257132, 0.258819, 0.260504,
+0.262189, 0.263873, 0.265556, 0.267238, 0.268919, 0.270600, 0.272280, 0.273959,
+0.275637, 0.277314, 0.278991, 0.280666, 0.282341, 0.284015, 0.285688, 0.287360,
+0.289031, 0.290702, 0.292371, 0.294040, 0.295708, 0.297374, 0.299040, 0.300705,
+0.302369, 0.304033, 0.305695, 0.307356, 0.309016, 0.310676, 0.312334, 0.313992,
+0.315649, 0.317304, 0.318959, 0.320612, 0.322265, 0.323917, 0.325568, 0.327217,
+0.328866, 0.330514, 0.332161, 0.333806, 0.335451, 0.337095, 0.338737, 0.340379,
+0.342020, 0.343659, 0.345298, 0.346935, 0.348572, 0.350207, 0.351841, 0.353474,
+0.355106, 0.356737, 0.358367, 0.359996, 0.361624, 0.363251, 0.364876, 0.366501,
+0.368124, 0.369746, 0.371367, 0.372987, 0.374606, 0.376224, 0.377840, 0.379456,
+0.381070, 0.382683, 0.384295, 0.385906, 0.387515, 0.389123, 0.390731, 0.392337,
+0.393941, 0.395545, 0.397147, 0.398749, 0.400349, 0.401947, 0.403545, 0.405141,
+0.406736, 0.408330, 0.409923, 0.411514, 0.413104, 0.414693, 0.416280, 0.417867,
+0.419452, 0.421035, 0.422618, 0.424199, 0.425779, 0.427357, 0.428935, 0.430511,
+0.432085, 0.433659, 0.435231, 0.436801, 0.438371, 0.439939, 0.441505, 0.443071,
+0.444635, 0.446197, 0.447759, 0.449318, 0.450877, 0.452434, 0.453990, 0.455544,
+0.457097, 0.458649, 0.460199, 0.461748, 0.463296, 0.464842, 0.466386, 0.467929,
+0.469471, 0.471011, 0.472550, 0.474088, 0.475624, 0.477158, 0.478691, 0.480223,
+0.481753, 0.483282, 0.484809, 0.486335, 0.487859, 0.489382, 0.490903, 0.492423,
+0.493941, 0.495458, 0.496973, 0.498487, 0.499999, 0.501510, 0.503019, 0.504527,
+0.506033, 0.507538, 0.509041, 0.510542, 0.512042, 0.513541, 0.515038, 0.516533,
+0.518027, 0.519519, 0.521009, 0.522498, 0.523985, 0.525471, 0.526955, 0.528438,
+0.529919, 0.531398, 0.532876, 0.534352, 0.535826, 0.537299, 0.538770, 0.540240,
+0.541708, 0.543174, 0.544639, 0.546101, 0.547563, 0.549022, 0.550480, 0.551936,
+0.553391, 0.554844, 0.556295, 0.557745, 0.559192, 0.560638, 0.562083, 0.563526,
+0.564967, 0.566406, 0.567843, 0.569279, 0.570713, 0.572145, 0.573576, 0.575005,
+0.576432, 0.577857, 0.579281, 0.580702, 0.582122, 0.583541, 0.584957, 0.586372,
+0.587785, 0.589196, 0.590605, 0.592013, 0.593418, 0.594822, 0.596224, 0.597625,
+0.599023, 0.600420, 0.601815, 0.603207, 0.604599, 0.605988, 0.607375, 0.608761,
+0.610145, 0.611527, 0.612907, 0.614285, 0.615661, 0.617035, 0.618408, 0.619779,
+0.621147, 0.622514, 0.623879, 0.625242, 0.626603, 0.627963, 0.629320, 0.630675,
+0.632029, 0.633380, 0.634730, 0.636078, 0.637423, 0.638767, 0.640109, 0.641449,
+0.642787, 0.644123, 0.645457, 0.646789, 0.648119, 0.649448, 0.650774, 0.652098,
+0.653420, 0.654740, 0.656059, 0.657375, 0.658689, 0.660001, 0.661311, 0.662620,
+0.663926, 0.665230, 0.666532, 0.667832, 0.669130, 0.670426, 0.671720, 0.673012,
+0.674302, 0.675590, 0.676875, 0.678159, 0.679441, 0.680720, 0.681998, 0.683273,
+0.684547, 0.685818, 0.687087, 0.688354, 0.689619, 0.690882, 0.692143, 0.693401,
+0.694658, 0.695912, 0.697165, 0.698415, 0.699663, 0.700909, 0.702153, 0.703394,
+0.704634, 0.705871, 0.707106,
+};
+static float const Cosines[] = {
+1.000000, 0.999998, 0.999993, 0.999986, 0.999975, 0.999961, 0.999945, 0.999925,
+0.999902, 0.999876, 0.999847, 0.999815, 0.999780, 0.999742, 0.999701, 0.999657,
+0.999610, 0.999559, 0.999506, 0.999450, 0.999390, 0.999328, 0.999262, 0.999194,
+0.999122, 0.999048, 0.998970, 0.998889, 0.998806, 0.998719, 0.998629, 0.998536,
+0.998440, 0.998341, 0.998239, 0.998134, 0.998026, 0.997915, 0.997801, 0.997684,
+0.997564, 0.997440, 0.997314, 0.997185, 0.997052, 0.996917, 0.996778, 0.996637,
+0.996492, 0.996345, 0.996194, 0.996041, 0.995884, 0.995724, 0.995561, 0.995396,
+0.995227, 0.995055, 0.994880, 0.994702, 0.994521, 0.994337, 0.994150, 0.993960,
+0.993767, 0.993571, 0.993372, 0.993170, 0.992965, 0.992757, 0.992546, 0.992331,
+0.992114, 0.991894, 0.991671, 0.991444, 0.991215, 0.990983, 0.990747, 0.990509,
+0.990268, 0.990023, 0.989776, 0.989525, 0.989272, 0.989015, 0.988756, 0.988493,
+0.988228, 0.987959, 0.987688, 0.987413, 0.987136, 0.986855, 0.986572, 0.986285,
+0.985996, 0.985703, 0.985407, 0.985109, 0.984807, 0.984503, 0.984195, 0.983885,
+0.983571, 0.983254, 0.982935, 0.982612, 0.982287, 0.981958, 0.981627, 0.981292,
+0.980955, 0.980614, 0.980271, 0.979924, 0.979575, 0.979222, 0.978867, 0.978508,
+0.978147, 0.977783, 0.977415, 0.977045, 0.976672, 0.976296, 0.975916, 0.975534,
+0.975149, 0.974761, 0.974370, 0.973975, 0.973578, 0.973178, 0.972775, 0.972369,
+0.971961, 0.971549, 0.971134, 0.970716, 0.970295, 0.969872, 0.969445, 0.969015,
+0.968583, 0.968147, 0.967709, 0.967267, 0.966823, 0.966376, 0.965925, 0.965472,
+0.965016, 0.964557, 0.964095, 0.963630, 0.963162, 0.962691, 0.962217, 0.961741,
+0.961261, 0.960779, 0.960293, 0.959805, 0.959313, 0.958819, 0.958322, 0.957822,
+0.957319, 0.956813, 0.956304, 0.955793, 0.955278, 0.954760, 0.954240, 0.953716,
+0.953190, 0.952661, 0.952129, 0.951594, 0.951056, 0.950515, 0.949972, 0.949425,
+0.948876, 0.948323, 0.947768, 0.947210, 0.946649, 0.946085, 0.945518, 0.944948,
+0.944376, 0.943800, 0.943222, 0.942641, 0.942057, 0.941470, 0.940880, 0.940288,
+0.939692, 0.939094, 0.938493, 0.937888, 0.937281, 0.936672, 0.936059, 0.935444,
+0.934825, 0.934204, 0.933580, 0.932953, 0.932323, 0.931691, 0.931055, 0.930417,
+0.929776, 0.929132, 0.928485, 0.927836, 0.927183, 0.926528, 0.925870, 0.925209,
+0.924546, 0.923879, 0.923210, 0.922538, 0.921863, 0.921185, 0.920504, 0.919821,
+0.919135, 0.918446, 0.917754, 0.917060, 0.916362, 0.915662, 0.914959, 0.914253,
+0.913545, 0.912834, 0.912120, 0.911403, 0.910683, 0.909961, 0.909236, 0.908508,
+0.907777, 0.907044, 0.906307, 0.905568, 0.904827, 0.904082, 0.903335, 0.902585,
+0.901832, 0.901077, 0.900318, 0.899557, 0.898794, 0.898027, 0.897258, 0.896486,
+0.895711, 0.894934, 0.894154, 0.893371, 0.892585, 0.891797, 0.891006, 0.890212,
+0.889416, 0.888617, 0.887815, 0.887010, 0.886203, 0.885393, 0.884580, 0.883765,
+0.882947, 0.882126, 0.881303, 0.880477, 0.879648, 0.878817, 0.877982, 0.877146,
+0.876306, 0.875464, 0.874619, 0.873772, 0.872922, 0.872069, 0.871213, 0.870355,
+0.869494, 0.868631, 0.867765, 0.866896, 0.866025, 0.865151, 0.864274, 0.863395,
+0.862513, 0.861629, 0.860742, 0.859852, 0.858959, 0.858064, 0.857167, 0.856267,
+0.855364, 0.854458, 0.853550, 0.852640, 0.851726, 0.850811, 0.849892, 0.848971,
+0.848048, 0.847121, 0.846193, 0.845261, 0.844327, 0.843391, 0.842452, 0.841510,
+0.840566, 0.839619, 0.838670, 0.837718, 0.836764, 0.835807, 0.834847, 0.833885,
+0.832921, 0.831954, 0.830984, 0.830012, 0.829037, 0.828060, 0.827080, 0.826098,
+0.825113, 0.824126, 0.823136, 0.822144, 0.821149, 0.820151, 0.819152, 0.818149,
+0.817144, 0.816137, 0.815127, 0.814115, 0.813100, 0.812083, 0.811063, 0.810041,
+0.809016, 0.807989, 0.806960, 0.805928, 0.804893, 0.803856, 0.802817, 0.801775,
+0.800731, 0.799684, 0.798635, 0.797583, 0.796529, 0.795473, 0.794414, 0.793353,
+0.792289, 0.791223, 0.790155, 0.789084, 0.788010, 0.786935, 0.785856, 0.784776,
+0.783693, 0.782608, 0.781520, 0.780430, 0.779337, 0.778243, 0.777145, 0.776046,
+0.774944, 0.773840, 0.772733, 0.771624, 0.770513, 0.769399, 0.768283, 0.767165,
+0.766044, 0.764921, 0.763796, 0.762668, 0.761538, 0.760405, 0.759271, 0.758134,
+0.756995, 0.755853, 0.754709, 0.753563, 0.752414, 0.751264, 0.750111, 0.748955,
+0.747798, 0.746638, 0.745475, 0.744311, 0.743144, 0.741975, 0.740804, 0.739631,
+0.738455, 0.737277, 0.736097, 0.734914, 0.733729, 0.732542, 0.731353, 0.730162,
+0.728968, 0.727772, 0.726574, 0.725374, 0.724171, 0.722967, 0.721760, 0.720551,
+0.719339, 0.718126, 0.716910, 0.715692, 0.714472, 0.713250, 0.712026, 0.710799,
+0.709570, 0.708339, 0.707106,
+};
+
+static void
+ClockAngle(int tick_units, double *sinp, double *cosp)
+{
+    int reduced, upper;
+
+    reduced = tick_units % 450;
+    upper = tick_units / 450;
+    if (upper & 1)
+	reduced = 450 - reduced;
+    if ((upper + 1) & 2) {
+	*sinp = Cosines[reduced];
+	*cosp = Sines[reduced];
+    } else {
+	*sinp = Sines[reduced];
+	*cosp = Cosines[reduced];
+    }
+    if (upper >= 2 && upper < 6)
+	*cosp = -*cosp;
+    if (upper >= 4)
+	*sinp = -*sinp;
+}
+
+/*
+ * DrawLine - Draws a line.
+ *
+ * blank_length is the distance from the center which the line begins.
+ * length is the maximum length of the hand.
+ * Tick_units is a number between zero and 12*60 indicating
+ * how far around the circle (clockwise) from high noon.
+ *
+ * The blank_length feature is because I wanted to draw tick-marks around the
+ * circle (for seconds).  The obvious means of drawing lines from the center
+ * to the perimeter, then erasing all but the outside most pixels doesn't
+ * work because of round-off error (sigh).
+ */
+static void
+DrawLine(ClockWidget w, Dimension blank_length, Dimension length,
+	 int tick_units)
+{
+	double dblank_length = (double)blank_length, dlength = (double)length;
+	double cosangle, sinangle;
+	int cx = w->clock.centerX, cy = w->clock.centerY, x1, y1, x2, y2;
+
+	/*
+	 *  Angles are measured from 12 o'clock, clockwise increasing.
+	 *  Since in X, +x is to the right and +y is downward:
+	 *
+	 *	x = x0 + r * sin(theta)
+	 *	y = y0 - r * cos(theta)
+	 *
+	 */
+	ClockAngle(tick_units, &sinangle, &cosangle);
+
+	/* break this out so that stupid compilers can cope */
+	x1 = cx + (int)(dblank_length * sinangle);
+	y1 = cy - (int)(dblank_length * cosangle);
+	x2 = cx + (int)(dlength * sinangle);
+	y2 = cy - (int)(dlength * cosangle);
+	SetSeg(w, x1, y1, x2, y2);
+}
+
+/*
+ * DrawHand - Draws a hand.
+ *
+ * length is the maximum length of the hand.
+ * width is the half-width of the hand.
+ * Tick_units is a number between zero and 12*60 indicating
+ * how far around the circle (clockwise) from high noon.
+ *
+ */
+static void
+DrawHand(ClockWidget w, Dimension length, Dimension width, int tick_units)
+{
+
+	double cosangle, sinangle;
+	register double ws, wc;
+	Position x, y, x1, y1, x2, y2;
+
+	/*
+	 *  Angles are measured from 12 o'clock, clockwise increasing.
+	 *  Since in X, +x is to the right and +y is downward:
+	 *
+	 *	x = x0 + r * sin(theta)
+	 *	y = y0 - r * cos(theta)
+	 *
+	 */
+	ClockAngle(tick_units, &sinangle, &cosangle);
+	/*
+	 * Order of points when drawing the hand.
+	 *
+	 *		1,4
+	 *		/ \
+	 *	       /   \
+	 *	      /     \
+	 *	    2 ------- 3
+	 */
+	wc = width * cosangle;
+	ws = width * sinangle;
+	SetSeg(w,
+	       x = w->clock.centerX + clock_round(length * sinangle),
+	       y = w->clock.centerY - clock_round(length * cosangle),
+	       x1 = w->clock.centerX - clock_round(ws + wc),
+	       y1 = w->clock.centerY + clock_round(wc - ws));  /* 1 ---- 2 */
+	/* 2 */
+	SetSeg(w, x1, y1,
+	       x2 = w->clock.centerX - clock_round(ws - wc),
+	       y2 = w->clock.centerY + clock_round(wc + ws));  /* 2 ----- 3 */
+
+	SetSeg(w, x2, y2, x, y);	/* 3 ----- 1(4) */
+}
+
+/*
+ * DrawSecond - Draws the second hand (diamond).
+ *
+ * length is the maximum length of the hand.
+ * width is the half-width of the hand.
+ * offset is direct distance from center to tail end.
+ * Tick_units is a number between zero and 12*60 indicating
+ * how far around the circle (clockwise) from high noon.
+ *
+ */
+static void
+DrawSecond(ClockWidget w, Dimension length, Dimension width,
+	   Dimension offset, int tick_units)
+{
+
+	double cosangle, sinangle;
+	register double ms, mc, ws, wc;
+	register int mid;
+	Position x, y;
+
+	/*
+	 *  Angles are measured from 12 o'clock, clockwise increasing.
+	 *  Since in X, +x is to the right and +y is downward:
+	 *
+	 *	x = x0 + r * sin(theta)
+	 *	y = y0 - r * cos(theta)
+	 *
+	 */
+	ClockAngle(tick_units, &sinangle, &cosangle);
+	/*
+	 * Order of points when drawing the hand.
+	 *
+	 *		1,5
+	 *		/ \
+	 *	       /   \
+	 *	      /     \
+	 *	    2<       >4
+	 *	      \     /
+	 *	       \   /
+	 *		\ /
+	 *	-	 3
+	 *	|
+	 *	|
+	 *   offset
+	 *	|
+	 *	|
+	 *	-	 + center
+	 */
+
+	mid = (int) (length + offset) / 2;
+	mc = mid * cosangle;
+	ms = mid * sinangle;
+	wc = width * cosangle;
+	ws = width * sinangle;
+	/*1 ---- 2 */
+	SetSeg(w,
+	       x = w->clock.centerX + clock_round(length * sinangle),
+	       y = w->clock.centerY - clock_round(length * cosangle),
+	       w->clock.centerX + clock_round(ms - wc),
+	       w->clock.centerY - clock_round(mc + ws) );
+	SetSeg(w, w->clock.centerX + clock_round(offset *sinangle),
+	       w->clock.centerY - clock_round(offset * cosangle), /* 2-----3 */
+	       w->clock.centerX + clock_round(ms + wc),
+	       w->clock.centerY - clock_round(mc - ws));
+	w->clock.segbuffptr->x = x;
+	w->clock.segbuffptr++->y = y;
+	w->clock.numseg ++;
+}
+
+static void
+SetSeg(ClockWidget w, int x1, int y1, int x2, int y2)
+{
+	w->clock.segbuffptr->x = x1;
+	w->clock.segbuffptr++->y = y1;
+	w->clock.segbuffptr->x = x2;
+	w->clock.segbuffptr++->y = y2;
+	w->clock.numseg += 2;
+}
+
+/*
+ *  Draw the clock face (every fifth tick-mark is longer
+ *  than the others).
+ */
+static void
+DrawClockFace(ClockWidget w)
+{
+	register int i;
+	register int delta = (int)(w->clock.radius - w->clock.second_hand_length) / 3;
+
+	w->clock.segbuffptr = w->clock.segbuff;
+	w->clock.numseg = 0;
+	for (i = 0; i < 60; i++)
+	{
+#ifdef XRENDER
+	    if (w->clock.render && w->clock.can_polygon)
+	    {
+		double	s, c;
+		XDouble	x1, y1, x2, y2;
+		XftColor	*color;
+		ClockAngle (i * 60, &s, &c);
+		x1 = c;
+		y1 = s;
+		if (i % 5)
+		{
+		    x2 = c * (MINOR_TICK_FRACT / 100.0);
+		    y2 = s * (MINOR_TICK_FRACT / 100.0);
+		    color = &w->clock.minor_color;
+		}
+		else
+		{
+		    x2 = c * (SECOND_HAND_FRACT / 100.0);
+		    y2 = s * (SECOND_HAND_FRACT / 100.0);
+		    color = &w->clock.major_color;
+		}
+		RenderLine (w, x1, y1, x2, y2, color, True);
+	    }
+	    else
+#endif
+	    {
+		DrawLine(w, ( (i % 5) == 0 ?
+			     w->clock.second_hand_length :
+			     (w->clock.radius - delta) ),
+			 w->clock.radius, i * 60);
+	    }
+	}
+#ifdef XRENDER
+	if (w->clock.render && w->clock.can_polygon)
+	    return;
+#endif
+	/*
+	 * Go ahead and draw it.
+	 */
+	XDrawSegments(XtDisplay(w), XtWindow(w),
+		      w->clock.myGC, (XSegment *) &(w->clock.segbuff[0]),
+		      w->clock.numseg/2);
+
+	w->clock.segbuffptr = w->clock.segbuff;
+	w->clock.numseg = 0;
+}
+
+static int
+clock_round(double x)
+{
+	return(x >= 0.0 ? (int)(x + .5) : (int)(x - .5));
+}
+
+#ifdef XRENDER
+static Boolean
+sameColor (XftColor *old, XftColor *new)
+{
+    if (old->color.red != new->color.red) return False;
+    if (old->color.green != new->color.green) return False;
+    if (old->color.blue != new->color.blue) return False;
+    if (old->color.alpha != new->color.alpha) return False;
+    return True;
+}
+#endif
+
+/* ARGSUSED */
+static Boolean
+SetValues(Widget gcurrent, Widget grequest, Widget gnew,
+	  ArgList args, Cardinal *num_args)
+{
+      ClockWidget current = (ClockWidget) gcurrent;
+      ClockWidget new = (ClockWidget) gnew;
+      Boolean redisplay = FALSE;
+      XtGCMask valuemask;
+      XGCValues	myXGCV;
+
+      /* first check for changes to clock-specific resources.  We'll accept all
+         the changes, but may need to do some computations first. */
+
+      if (new->clock.update != current->clock.update) {
+	  if (current->clock.interval_id)
+	      XtRemoveTimeOut (current->clock.interval_id);
+	  if (new->clock.update && XtIsRealized( (Widget) new))
+	      new->clock.interval_id = XtAppAddTimeOut(
+                                         XtWidgetToApplicationContext(gnew),
+					 abs(new->clock.update)*1000,
+				         clock_tic, (XtPointer)gnew);
+
+	  new->clock.show_second_hand =(abs(new->clock.update) <= SECOND_HAND_TIME);
+	  if (new->clock.show_second_hand != current->clock.show_second_hand)
+	    redisplay = TRUE;
+      }
+
+      if (new->clock.padding != current->clock.padding)
+	   redisplay = TRUE;
+
+      if (new->clock.analog != current->clock.analog)
+	   redisplay = TRUE;
+
+       if (new->clock.font != current->clock.font)
+	   redisplay = TRUE;
+
+#ifndef NO_I18N
+       if (new->clock.fontSet != current->clock.fontSet)
+	   redisplay = TRUE;
+#endif
+
+      if ((ClockFgPixel(new) != ClockFgPixel (current))
+          || (new->core.background_pixel != current->core.background_pixel)) {
+          valuemask = GCForeground | GCBackground | GCFont | GCLineWidth;
+	  myXGCV.foreground = ClockFgPixel (new);
+	  myXGCV.background = new->core.background_pixel;
+          myXGCV.font = new->clock.font->fid;
+	  myXGCV.line_width = 0;
+	  XtReleaseGC (gcurrent, current->clock.myGC);
+	  new->clock.myGC = XtGetGC(gcurrent, valuemask, &myXGCV);
+	  redisplay = TRUE;
+          }
+
+      if (new->clock.Hipixel != current->clock.Hipixel) {
+          valuemask = GCForeground | GCLineWidth;
+	  myXGCV.foreground = new->clock.Hipixel;
+          myXGCV.font = new->clock.font->fid;
+	  myXGCV.line_width = 0;
+	  XtReleaseGC (gcurrent, current->clock.HighGC);
+	  new->clock.HighGC = XtGetGC((Widget)gcurrent, valuemask, &myXGCV);
+	  redisplay = TRUE;
+          }
+
+      if (new->clock.Hdpixel != current->clock.Hdpixel) {
+          valuemask = GCForeground;
+	  myXGCV.foreground = new->clock.Hdpixel;
+	  XtReleaseGC (gcurrent, current->clock.HandGC);
+	  new->clock.HandGC = XtGetGC((Widget)gcurrent, valuemask, &myXGCV);
+	  redisplay = TRUE;
+          }
+
+      if (new->core.background_pixel != current->core.background_pixel) {
+          valuemask = GCForeground | GCLineWidth | GCGraphicsExposures;
+	  myXGCV.foreground = new->core.background_pixel;
+	  myXGCV.line_width = 0;
+	  myXGCV.graphics_exposures = False;
+	  XtReleaseGC (gcurrent, current->clock.EraseGC);
+	  new->clock.EraseGC = XtGetGC((Widget)gcurrent, valuemask, &myXGCV);
+	  redisplay = TRUE;
+	  }
+#ifdef XRENDER
+     if (new->clock.face != current->clock.face)
+	redisplay = TRUE;
+     if (!sameColor (&new->clock.hour_color, &current->clock.fg_color) ||
+	 !sameColor (&new->clock.hour_color, &current->clock.hour_color) ||
+	 !sameColor (&new->clock.min_color, &current->clock.min_color) ||
+	 !sameColor (&new->clock.sec_color, &current->clock.sec_color) ||
+	 !sameColor (&new->clock.major_color, &current->clock.major_color) ||
+	 !sameColor (&new->clock.minor_color, &current->clock.minor_color))
+	redisplay = True;
+    if (new->clock.sharp != current->clock.sharp)
+	redisplay = True;
+    if (new->clock.render != current->clock.render)
+	redisplay = True;
+    if (new->clock.buffer != current->clock.buffer)
+    {
+	if (new->clock.pixmap)
+	{
+	    XFreePixmap (XtDisplay (new), new->clock.pixmap);
+	    new->clock.pixmap = 0;
+	}
+	if (new->clock.draw)
+	{
+	    XftDrawDestroy (new->clock.draw);
+	    new->clock.draw = NULL;
+	}
+	new->clock.picture = 0;
+    }
+#endif
+     return (redisplay);
+
+}
+
+#if !defined(NO_I18N) && defined(HAVE_ICONV)
+static char *
+clock_to_utf8(const char *str, int in_len)
+{
+    iconv_t cd;
+    char *buf;
+    size_t buf_size;
+    size_t ileft, oleft;
+    const char *inptr;
+    char *outptr;
+    size_t ret;
+    const char *code_set = nl_langinfo(CODESET);
+
+    if (str == NULL ||code_set == NULL || strcasecmp(code_set, "646") == 0)
+    	return NULL;
+
+    if (strcasecmp(code_set, "UTF-8") == 0)
+    	return strdup(str);
+
+    cd = iconv_open("UTF-8", code_set);
+    if (cd == (iconv_t)-1)
+    	return NULL;
+
+    buf_size = MB_LEN_MAX * (in_len + 1);
+    if ((buf = malloc(buf_size)) == NULL) {
+    	(void) iconv_close(cd);
+    	return NULL;
+    }
+
+    inptr = str;
+    ileft = in_len;
+    outptr = buf;
+    oleft = buf_size;
+
+    ret = iconv(cd, &inptr, &ileft, &outptr, &oleft);
+    if (ret == (size_t)(-1) || oleft == 0 ) {
+        free(buf);
+        buf = NULL;
+    } else
+	*outptr = '\0';
+
+    (void) iconv_close(cd);
+    return buf;
+}
+#endif