| /* Copyright (C) 1991-2016 Free Software Foundation, Inc. | 
 |    This file is part of the GNU C Library. | 
 |  | 
 |    The GNU C 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 GNU C 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 GNU C Library; if not, see | 
 |    <http://www.gnu.org/licenses/>.  */ | 
 |  | 
 | /* Written by Paul Eggert <eggert@cs.ucla.edu>.  */ | 
 |  | 
 | #include <time.h> | 
 |  | 
 | #include <limits.h> | 
 | #include <float.h> | 
 | #include <stdint.h> | 
 |  | 
 | #define TYPE_BITS(type) (sizeof (type) * CHAR_BIT) | 
 | #define TYPE_FLOATING(type) ((type) 0.5 == 0.5) | 
 | #define TYPE_SIGNED(type) ((type) -1 < 0) | 
 |  | 
 | /* Return the difference between TIME1 and TIME0, where TIME0 <= TIME1. | 
 |    time_t is known to be an integer type.  */ | 
 |  | 
 | static double | 
 | subtract (time_t time1, time_t time0) | 
 | { | 
 |   if (! TYPE_SIGNED (time_t)) | 
 |     return time1 - time0; | 
 |   else | 
 |     { | 
 |       /* Optimize the common special cases where time_t | 
 | 	 can be converted to uintmax_t without losing information.  */ | 
 |       uintmax_t dt = (uintmax_t) time1 - (uintmax_t) time0; | 
 |       double delta = dt; | 
 |  | 
 |       if (UINTMAX_MAX / 2 < INTMAX_MAX) | 
 | 	{ | 
 | 	  /* This is a rare host where uintmax_t has padding bits, and possibly | 
 | 	     information was lost when converting time_t to uintmax_t. | 
 | 	     Check for overflow by comparing dt/2 to (time1/2 - time0/2). | 
 | 	     Overflow occurred if they differ by more than a small slop. | 
 | 	     Thanks to Clive D.W. Feather for detailed technical advice about | 
 | 	     hosts with padding bits. | 
 |  | 
 | 	     In the following code the "h" prefix means half.  By range | 
 | 	     analysis, we have: | 
 |  | 
 |                   -0.5 <= ht1 - 0.5*time1 <= 0.5 | 
 |                   -0.5 <= ht0 - 0.5*time0 <= 0.5 | 
 |                   -1.0 <= dht - 0.5*(time1 - time0) <= 1.0 | 
 |  | 
 |              If overflow has not occurred, we also have: | 
 |  | 
 |                   -0.5 <= hdt - 0.5*(time1 - time0) <= 0 | 
 |                   -1.0 <= dht - hdt <= 1.5 | 
 |  | 
 |              and since dht - hdt is an integer, we also have: | 
 |  | 
 |                   -1 <= dht - hdt <= 1 | 
 |  | 
 |              or equivalently: | 
 |  | 
 |                   0 <= dht - hdt + 1 <= 2 | 
 |  | 
 |              In the above analysis, all the operators have their exact | 
 |              mathematical semantics, not C semantics.  However, dht - hdt + | 
 |              1 is unsigned in C, so it need not be compared to zero.  */ | 
 |  | 
 | 	  uintmax_t hdt = dt / 2; | 
 | 	  time_t ht1 = time1 / 2; | 
 | 	  time_t ht0 = time0 / 2; | 
 | 	  time_t dht = ht1 - ht0; | 
 |  | 
 | 	  if (2 < dht - hdt + 1) | 
 | 	    { | 
 | 	      /* Repair delta overflow. | 
 |  | 
 | 		 The following expression contains a second rounding, | 
 | 		 so the result may not be the closest to the true answer. | 
 | 		 This problem occurs only with very large differences. | 
 | 		 It's too painful to fix this portably.  */ | 
 |  | 
 | 	      delta = dt + 2.0L * (UINTMAX_MAX - UINTMAX_MAX / 2); | 
 | 	    } | 
 | 	} | 
 |  | 
 |       return delta; | 
 |     } | 
 | } | 
 |  | 
 | /* Return the difference between TIME1 and TIME0.  */ | 
 | double | 
 | __difftime (time_t time1, time_t time0) | 
 | { | 
 |   /* Convert to double and then subtract if no double-rounding error could | 
 |      result.  */ | 
 |  | 
 |   if (TYPE_BITS (time_t) <= DBL_MANT_DIG | 
 |       || (TYPE_FLOATING (time_t) && sizeof (time_t) < sizeof (long double))) | 
 |     return (double) time1 - (double) time0; | 
 |  | 
 |   /* Likewise for long double.  */ | 
 |  | 
 |   if (TYPE_BITS (time_t) <= LDBL_MANT_DIG || TYPE_FLOATING (time_t)) | 
 |     return (long double) time1 - (long double) time0; | 
 |  | 
 |   /* Subtract the smaller integer from the larger, convert the difference to | 
 |      double, and then negate if needed.  */ | 
 |  | 
 |   return time1 < time0 ? - subtract (time0, time1) : subtract (time1, time0); | 
 | } | 
 | strong_alias (__difftime, difftime) |