Index: libcfa/src/bitmanip.hfa
===================================================================
--- libcfa/src/bitmanip.hfa	(revision dcf1979e45c41e88b207d2bab3d2cca8bc5a10d8)
+++ libcfa/src/bitmanip.hfa	(revision e2702fd7b3981fd9a1de288a52f59a502b874720)
@@ -11,6 +11,6 @@
 // Created On       : Sat Mar 14 18:12:27 2020
 // Last Modified By : Peter A. Buhr
-// Last Modified On : Tue Jun  9 15:14:04 2020
-// Update Count     : 123
+// Last Modified On : Mon Aug 10 09:21:02 2020
+// Update Count     : 139
 // 
 
@@ -21,5 +21,5 @@
 // Bits are numbered 1-N.
 
-//#include <assert.h>
+#include <assert.h>
 
 #define __bitsizeof( n ) (sizeof(n) * __CHAR_BIT__)
@@ -89,19 +89,19 @@
 
 	// Returns n aligned at the floor of align, clear bits above or equal to align, giving n % align.
-	signed char floor2( signed char n, char align ) { /*assert( is_pow2( align ) );*/ return n & -align; }
-	unsigned char floor2( unsigned char n, unsigned char align ) { /*assert( is_pow2( align ) );*/ return n & -align; }
-	short int floor2( short int n, short int align ) { /*assert( is_pow2( align ) );*/ return n & -align; }
-	unsigned short int floor2( unsigned short int n, unsigned short int align ) { /*assert( is_pow2( align ) );*/ return n & -align; }
-	int floor2( int n, int align ) { /*assert( is_pow2( align ) );*/ return n & -align; }
-	unsigned int floor2( unsigned int n, unsigned int align ) { /*assert( is_pow2( align ) );*/ return n & -align; }
-	long int floor2( long int n, long int align ) { /*assert( is_pow2( align ) );*/ return n & -align; }
-	unsigned long int floor2( unsigned long int n, unsigned long int align ) { /*assert( is_pow2( align ) );*/ return n & -align; }
-	long long int floor2( long long int n, long long int align ) { /*assert( is_pow2( align ) );*/ return n & -align; }
-	unsigned long long int floor2( unsigned long long int n, unsigned long long int align ) { /*assert( is_pow2( align ) );*/ return n & -align; }
+	signed char floor2( signed char n, signed char align ) { verify( is_pow2( align ) ); return n & -align; }
+	unsigned char floor2( unsigned char n, unsigned char align ) { verify( is_pow2( align ) ); return n & -align; }
+	short int floor2( short int n, short int align ) { verify( is_pow2( align ) ); return n & -align; }
+	unsigned short int floor2( unsigned short int n, unsigned short int align ) { verify( is_pow2( align ) ); return n & -align; }
+	int floor2( int n, int align ) { verify( is_pow2( align ) ); return n & -align; }
+	unsigned int floor2( unsigned int n, unsigned int align ) { verify( is_pow2( align ) ); return n & -align; }
+	long int floor2( long int n, long int align ) { verify( is_pow2( align ) ); return n & -align; }
+	unsigned long int floor2( unsigned long int n, unsigned long int align ) { verify( is_pow2( align ) ); return n & -align; }
+	long long int floor2( long long int n, long long int align ) { verify( is_pow2( align ) ); return n & -align; }
+	unsigned long long int floor2( unsigned long long int n, unsigned long long int align ) { verify( is_pow2( align ) ); return n & -align; }
 
 	// forall( otype T | { T ?&?( T, T ); T -?( T ); } )
-	// T floor2( T n, T align ) { /* assert( is_pow2( align ) ); */ return n & -align; }
+	// T floor2( T n, T align ) { verify( is_pow2( align ) ); return n & -align; }
 
-	signed char floor( signed char n, char align ) { return n / align * align; }
+	signed char floor( signed char n, signed char align ) { return n / align * align; }
 	unsigned char floor( unsigned char n, unsigned char align ) { return n / align * align; }
 	short int floor( short int n, short int align ) { return n / align * align; }
@@ -118,31 +118,46 @@
 
 	// Returns n aligned at the ceiling of align, negate, round down, negate is the same as round up.
-	signed char ceiling2( signed char n, char align ) { /*assert( is_pow2( align ) );*/ return -floor2( -n, align ); }
-	unsigned char ceiling2( unsigned char n, unsigned char align ) { /*assert( is_pow2( align ) );*/ return -floor2( -n, align ); }
-	short int ceiling2( short int n, short int align ) { /*assert( is_pow2( align ) );*/ return -floor2( -n, align ); }
-	unsigned short int ceiling2( unsigned short int n, unsigned short int align ) { /*assert( is_pow2( align ) );*/ return -floor2( -n, align ); }
-	int ceiling2( int n, int align ) { /*assert( is_pow2( align ) );*/ return -floor2( -n, align ); }
-	unsigned int ceiling2( unsigned int n, unsigned int align ) { /*assert( is_pow2( align ) );*/ return -floor2( -n, align ); }
-	long int ceiling2( long int n, long int align ) { /*assert( is_pow2( align ) );*/ return -floor2( -n, align ); }
-	unsigned long int ceiling2( unsigned long int n, unsigned long int align ) { /*assert( is_pow2( align ) );*/ return -floor2( -n, align ); }
-	long long int ceiling2( long long int n, long long int align ) { /*assert( is_pow2( align ) );*/ return -floor2( -n, align ); }
-	unsigned long long int ceiling2( unsigned long long int n, unsigned long long int align ) { /*assert( is_pow2( align ) );*/ return -floor2( -n, align ); }
+	signed char ceiling2( signed char n, signed char align ) { verify( is_pow2( align ) ); return -floor2( -n, align ); }
+	unsigned char ceiling2( unsigned char n, unsigned char align ) { verify( is_pow2( align ) ); return -floor2( -n, align ); }
+	short int ceiling2( short int n, short int align ) { verify( is_pow2( align ) ); return -floor2( -n, align ); }
+	unsigned short int ceiling2( unsigned short int n, unsigned short int align ) { verify( is_pow2( align ) ); return -floor2( -n, align ); }
+	int ceiling2( int n, int align ) { verify( is_pow2( align ) ); return -floor2( -n, align ); }
+	unsigned int ceiling2( unsigned int n, unsigned int align ) { verify( is_pow2( align ) ); return -floor2( -n, align ); }
+	long int ceiling2( long int n, long int align ) { verify( is_pow2( align ) ); return -floor2( -n, align ); }
+	unsigned long int ceiling2( unsigned long int n, unsigned long int align ) { verify( is_pow2( align ) ); return -floor2( -n, align ); }
+	long long int ceiling2( long long int n, long long int align ) { verify( is_pow2( align ) ); return -floor2( -n, align ); }
+	unsigned long long int ceiling2( unsigned long long int n, unsigned long long int align ) { verify( is_pow2( align ) ); return -floor2( -n, align ); }
 
 	// forall( otype T | { T floor2( T, T ); T -?( T ); } )
-	// T ceiling2( T n, T align ) { /* assert( is_pow2( align ) ); */ return -floor2( -n, align ); }
+	// T ceiling2( T n, T align ) { verify( is_pow2( align ) ); return -floor2( -n, align ); }
 
-	signed char ceiling( signed char n, char align ) { return (n + (align - 1)) / align; }
-	unsigned char ceiling( unsigned char n, unsigned char align ) { return (n + (align - 1)) / align; }
-	short int ceiling( short int n, short int align ) { return (n + (align - 1)) / align; }
-	unsigned short int ceiling( unsigned short int n, unsigned short int align ) { return (n + (align - 1)) / align; }
-	int ceiling( int n, int align ) { return (n + (align - 1)) / align; }
-	unsigned int ceiling( unsigned int n, unsigned int align ) { return (n + (align - 1)) / align; }
-	long int ceiling( long int n, long int align ) { return (n + (align - 1)) / align; }
-	unsigned long int ceiling( unsigned long int n, unsigned long int align ) { return (n + (align - 1)) / align; }
-	long long int ceiling( long long int n, long long int align ) { return (n + (align - 1)) / align; }
-	unsigned long long int ceiling( unsigned long long int n, unsigned long long int align ) { return (n + (align - 1)) / align; }
+	signed char ceiling_div( signed char n, char align ) { return (n + (align - 1)) / align; }
+	unsigned char ceiling_div( unsigned char n, unsigned char align ) { return (n + (align - 1)) / align; }
+	short int ceiling_div( short int n, short int align ) { return (n + (align - 1)) / align; }
+	unsigned short int ceiling_div( unsigned short int n, unsigned short int align ) { return (n + (align - 1)) / align; }
+	int ceiling_div( int n, int align ) { return (n + (align - 1)) / align; }
+	unsigned int ceiling_div( unsigned int n, unsigned int align ) { return (n + (align - 1)) / align; }
+	long int ceiling_div( long int n, long int align ) { return (n + (align - 1)) / align; }
+	unsigned long int ceiling_div( unsigned long int n, unsigned long int align ) { return (n + (align - 1)) / align; }
+	long long int ceiling_div( long long int n, long long int align ) { return (n + (align - 1)) / align; }
+	unsigned long long int ceiling_div( unsigned long long int n, unsigned long long int align ) { return (n + (align - 1)) / align; }
+
+	// forall( otype T | { T ?+?( T, T ); T ?-?( T, T ); T ?%?( T, T ); } )
+	// T ceiling_div( T n, T align ) { verify( is_pow2( align ) );return (n + (align - 1)) / align; }
+	
+	// gcc notices the div/mod pair and saves both so only one div.
+	signed char ceiling( signed char n, signed char align ) { return floor( n + (n % align != 0 ? align - 1 : 0), align ); }
+	unsigned char ceiling( unsigned char n, unsigned char align ) { return floor( n + (n % align != 0 ? align - 1 : 0), align ); }
+	short int ceiling( short int n, short int align ) { return floor( n + (n % align != 0 ? align - 1 : 0), align ); }
+	unsigned short int ceiling( unsigned short int n, unsigned short int align ) { return floor( n + (n % align != 0 ? align - 1 : 0), align ); }
+	int ceiling( int n, int align ) { return floor( n + (n % align != 0 ? align - 1 : 0), align ); }
+	unsigned int ceiling( unsigned int n, unsigned int align ) { return floor( n + (n % align != 0 ? align - 1 : 0), align ); }
+	long int ceiling( long int n, long int align ) { return floor( n + (n % align != 0 ? align - 1 : 0), align ); }
+	unsigned long int ceiling( unsigned long int n, unsigned long int align ) { return floor( n + (n % align != 0 ? align - 1 : 0) , align); }
+	long long int ceiling( long long int n, long long int align ) { return floor( n + (n % align != 0 ? align - 1 : 0), align ); }
+	unsigned long long int ceiling( unsigned long long int n, unsigned long long int align ) { return floor( n + (n % align != 0 ? align - 1 : 0), align ); }
 
 	// forall( otype T | { void ?{}( T &, one_t ); T ?+?( T, T ); T ?-?( T, T ); T ?/?( T, T ); } )
-	// T ceiling( T n, T align ) { return (n + (align - (T){1})) / align; }
+	// T ceiling( T n, T align ) { return return floor( n + (n % align != 0 ? align - 1 : 0), align ); *}
 } // distribution
 
Index: libcfa/src/heap.cfa
===================================================================
--- libcfa/src/heap.cfa	(revision dcf1979e45c41e88b207d2bab3d2cca8bc5a10d8)
+++ libcfa/src/heap.cfa	(revision e2702fd7b3981fd9a1de288a52f59a502b874720)
@@ -5,11 +5,11 @@
 // file "LICENCE" distributed with Cforall.
 //
-// heap.c --
+// heap.cfa --
 //
 // Author           : Peter A. Buhr
 // Created On       : Tue Dec 19 21:58:35 2017
 // Last Modified By : Peter A. Buhr
-// Last Modified On : Thu Aug  6 09:08:58 2020
-// Update Count     : 861
+// Last Modified On : Sun Aug  9 12:23:20 2020
+// Update Count     : 894
 //
 
@@ -23,5 +23,5 @@
 #include <sys/mman.h>									// mmap, munmap
 
-#include "bits/align.hfa"								// libPow2
+#include "bits/align.hfa"								// libAlign
 #include "bits/defs.hfa"								// likely, unlikely
 #include "bits/locks.hfa"								// __spinlock_t
@@ -88,12 +88,7 @@
 } // default_heap_expansion
 
-bool default_heap_exhausted() __attribute__(( weak )) {	// find and free some storage
-	// Returning false prints "out of heap memory" message and aborts.
-	return false;
-} // default_heap_exhausted
-
 
 #ifdef __CFA_DEBUG__
-static unsigned int allocUnfreed;						// running total of allocations minus frees
+static size_t allocUnfreed;								// running total of allocations minus frees
 
 static void prtUnfreed() {
@@ -101,5 +96,5 @@
 		// DO NOT USE STREAMS AS THEY MAY BE UNAVAILABLE AT THIS POINT.
 		char helpText[512];
-		int len = snprintf( helpText, sizeof(helpText), "CFA warning (UNIX pid:%ld) : program terminating with %u(0x%x) bytes of storage allocated but not freed.\n"
+		int len = snprintf( helpText, sizeof(helpText), "CFA warning (UNIX pid:%ld) : program terminating with %zu(0x%zx) bytes of storage allocated but not freed.\n"
 							"Possible cause is unfreed storage allocated by the program or system/library routines called from the program.\n",
 							(long int)getpid(), allocUnfreed, allocUnfreed ); // always print the UNIX pid
@@ -292,5 +287,5 @@
 static unsigned long long int sbrk_storage;
 // Statistics file descriptor (changed by malloc_stats_fd).
-static int statfd = STDERR_FILENO;						// default stderr
+static int stat_fd = STDERR_FILENO;						// default stderr
 
 // Use "write" because streams may be shutdown when calls are made.
@@ -312,5 +307,5 @@
 									"  sbrk: calls %u / storage %llu\n",
 									malloc_calls, malloc_storage,
-									aalloc_calls, calloc_storage,
+									aalloc_calls, aalloc_storage,
 									calloc_calls, calloc_storage,
 									memalign_calls, memalign_storage,
@@ -411,5 +406,5 @@
 
 static inline void checkAlign( size_t alignment ) {
-	if ( alignment < libAlign() || ! libPow2( alignment ) ) {
+	if ( alignment < libAlign() || ! is_pow2( alignment ) ) {
 		abort( "Alignment %zu for memory allocation is less than %d and/or not a power of 2.", alignment, libAlign() );
 	} // if
@@ -443,5 +438,5 @@
 	header = headerAddr( addr );
 
-	if ( unlikely( heapEnd < addr ) ) {					// mmapped ?
+  if ( unlikely( heapEnd < addr ) ) {					// mmapped ?
 		fakeHeader( header, alignment );
 		size = header->kind.real.blockSize & -3;		// mmap size
@@ -471,5 +466,5 @@
 } // headers
 
-#define NO_MEMORY_MSG "no heap memory available for allocating %zd new bytes."
+#define NO_MEMORY_MSG "insufficient heap memory available for allocating %zd new bytes."
 
 static inline void * extend( size_t size ) with( heapManager ) {
@@ -479,14 +474,9 @@
 		// If the size requested is bigger than the current remaining storage, increase the size of the heap.
 
-		size_t increase = libCeiling( size > heapExpand ? size : heapExpand, libAlign() );
-	  Succeed:
-		{
-			if ( sbrk( increase ) != (void *)-1 ) break Succeed; // succeed ?
-			if ( default_heap_exhausted() )	{			// try fix
-				if ( sbrk( increase ) != (void *)-1 ) break Succeed; // succeed ?
-			} // if
+		size_t increase = ceiling2( size > heapExpand ? size : heapExpand, libAlign() );
+		if ( sbrk( increase ) == (void *)-1 ) {			// failed, no memory ?
 			unlock( extlock );
 			abort( NO_MEMORY_MSG, size );				// give up
-		}
+		} // if
 		#ifdef __STATISTICS__
 		sbrk_calls += 1;
@@ -524,15 +514,4 @@
 			posn = Bsearchl( (unsigned int)tsize, bucketSizes, (size_t)maxBucketsUsed );
 		HeapManager.FreeHeader * freeElem = &freeLists[posn];
-		// #ifdef FASTLOOKUP
-		// if ( tsize < LookupSizes )
-		// 	freeElem = &freeLists[lookup[tsize]];
-		// else
-		// #endif // FASTLOOKUP
-		//  	freeElem = bsearchl( tsize, freeLists, (size_t)maxBucketsUsed ); // binary search
-		// HeapManager.FreeHeader * freeElem =
-		// 	#ifdef FASTLOOKUP
-		// 	tsize < LookupSizes ? &freeLists[lookup[tsize]] :
-		// 	#endif // FASTLOOKUP
-		// 	bsearchl( tsize, freeLists, (size_t)maxBucketsUsed ); // binary search
 		verify( freeElem <= &freeLists[maxBucketsUsed] ); // subscripting error ?
 		verify( tsize <= freeElem->blockSize );			// search failure ?
@@ -566,21 +545,16 @@
 	} else {											// large size => mmap
   if ( unlikely( size > ULONG_MAX - pageSize ) ) return 0p;
-		tsize = libCeiling( tsize, pageSize );			// must be multiple of page size
+		tsize = ceiling2( tsize, pageSize );			// must be multiple of page size
 		#ifdef __STATISTICS__
 		__atomic_add_fetch( &mmap_calls, 1, __ATOMIC_SEQ_CST );
 		__atomic_add_fetch( &mmap_storage, tsize, __ATOMIC_SEQ_CST );
 		#endif // __STATISTICS__
-	  Succeed:
-		{
-			block = (HeapManager.Storage *)mmap( 0, tsize, PROT_READ | PROT_WRITE, MAP_PRIVATE | MAP_ANONYMOUS, mmapFd, 0 );
-			if ( block != (HeapManager.Storage *)MAP_FAILED ) break Succeed; // succeed ?
-			if ( errno == ENOMEM && default_heap_exhausted() ) { // out of memory and try again ?
-				block = (HeapManager.Storage *)mmap( 0, tsize, PROT_READ | PROT_WRITE, MAP_PRIVATE | MAP_ANONYMOUS, mmapFd, 0 );
-				if ( block != (HeapManager.Storage *)MAP_FAILED ) break Succeed; // succeed ?
-			} // if
-			if ( errno == ENOMEM ) abort( NO_MEMORY_MSG, tsize );
+
+		block = (HeapManager.Storage *)mmap( 0, tsize, PROT_READ | PROT_WRITE, MAP_PRIVATE | MAP_ANONYMOUS, mmapFd, 0 );
+		if ( block == (HeapManager.Storage *)MAP_FAILED ) { // failed ?
+			if ( errno == ENOMEM ) abort( NO_MEMORY_MSG, tsize ); // no memory
 			// Do not call strerror( errno ) as it may call malloc.
 			abort( "(HeapManager &)0x%p.doMalloc() : internal error, mmap failure, size:%zu error:%d.", &heapManager, tsize, errno );
-		}
+		} //if
 		#ifdef __CFA_DEBUG__
 		// Set new memory to garbage so subsequent uninitialized usages might fail.
@@ -653,6 +627,5 @@
 	__atomic_add_fetch( &allocUnfreed, -size, __ATOMIC_SEQ_CST );
 	if ( traceHeap() ) {
-		enum { BufferSize = 64 };
-		char helpText[BufferSize];
+		char helpText[64];
 		int len = snprintf( helpText, sizeof(helpText), "Free( %p ) size:%zu\n", addr, size );
 		__cfaabi_bits_write( STDERR_FILENO, helpText, len ); // print debug/nodebug
@@ -677,7 +650,5 @@
 		for ( HeapManager.Storage * p = freeLists[i].freeList; p != 0p; p = p->header.kind.real.next ) {
 		#else
-		for ( HeapManager.Storage * p = top( freeLists[i].freeList ); p != 0p; /* p = getNext( p )->top */) {
-			typeof(p) temp = ( p )`next->top;			// FIX ME: direct assignent fails, initialization works
-			p = temp;
+		for ( HeapManager.Storage * p = top( freeLists[i].freeList ); p != 0p; p = (p)`next->top ) {
 		#endif // BUCKETLOCK
 			total += size;
@@ -721,5 +692,5 @@
 
 	char * end = (char *)sbrk( 0 );
-	heapBegin = heapEnd = sbrk( (char *)libCeiling( (long unsigned int)end, libAlign() ) - end ); // move start of heap to multiple of alignment
+	heapBegin = heapEnd = sbrk( (char *)ceiling2( (long unsigned int)end, libAlign() ) - end ); // move start of heap to multiple of alignment
 } // HeapManager
 
@@ -729,5 +700,5 @@
 	if ( traceHeapTerm() ) {
 		printStats();
-		// if ( prtfree() ) prtFree( heapManager, true );
+		// prtUnfreed() called in heapAppStop()
 	} // if
 	#endif // __STATISTICS__
@@ -738,5 +709,5 @@
 void memory_startup( void ) {
 	#ifdef __CFA_DEBUG__
-	if ( unlikely( heapBoot ) ) {						// check for recursion during system boot
+	if ( heapBoot ) {									// check for recursion during system boot
 		// DO NOT USE STREAMS AS THEY MAY BE UNAVAILABLE AT THIS POINT.
 		abort( "boot() : internal error, recursively invoked during system boot." );
@@ -757,5 +728,5 @@
 
 static inline void * mallocNoStats( size_t size ) {		// necessary for malloc statistics
-	verify( heapManager.heapBegin != 0 );				// called before memory_startup ?
+	verify( heapManager.heapBegin != 0p );				// called before memory_startup ?
   if ( unlikely( size ) == 0 ) return 0p;				// 0 BYTE ALLOCATION RETURNS NULL POINTER
 
@@ -793,5 +764,5 @@
 
 
-static inline void * memalignNoStats( size_t alignment, size_t size ) { // necessary for malloc statistics
+static inline void * memalignNoStats( size_t alignment, size_t size ) {
   if ( unlikely( size ) == 0 ) return 0p;				// 0 BYTE ALLOCATION RETURNS NULL POINTER
 
@@ -815,5 +786,5 @@
 
 	// address in the block of the "next" alignment address
-	char * user = (char *)libCeiling( (uintptr_t)(addr + sizeof(HeapManager.Storage)), alignment );
+	char * user = (char *)ceiling2( (uintptr_t)(addr + sizeof(HeapManager.Storage)), alignment );
 
 	// address of header from malloc
@@ -843,7 +814,7 @@
 	#endif // __CFA_DEBUG__
 		headers( "cmemalign", addr, header, freeElem, bsize, alignment );
+
+	// Mapped storage is zero filled, but in debug mode mapped memory is scrubbed in doMalloc, so it has to be reset to zero.
 	#ifndef __CFA_DEBUG__
-
-	// Mapped storage is zero filled, but in debug mode mapped memory is scrubbed in doMalloc, so it has to be reset to zero.
 	if ( ! mapped )
 	#endif // __CFA_DEBUG__
@@ -857,13 +828,4 @@
 
 
-// supported mallopt options
-#ifndef M_MMAP_THRESHOLD
-#define M_MMAP_THRESHOLD (-1)
-#endif // M_TOP_PAD
-#ifndef M_TOP_PAD
-#define M_TOP_PAD (-2)
-#endif // M_TOP_PAD
-
-
 extern "C" {
 	// Allocates size bytes and returns a pointer to the allocated memory.  The contents are undefined. If size is 0,
@@ -881,10 +843,11 @@
 	// Same as malloc() except size bytes is an array of dim elements each of elemSize bytes.
 	void * aalloc( size_t dim, size_t elemSize ) {
+		size_t size = dim * elemSize;
 		#ifdef __STATISTICS__
 		__atomic_add_fetch( &aalloc_calls, 1, __ATOMIC_SEQ_CST );
-		__atomic_add_fetch( &aalloc_storage, dim * elemSize, __ATOMIC_SEQ_CST );
-		#endif // __STATISTICS__
-
-		return mallocNoStats( dim * elemSize );
+		__atomic_add_fetch( &aalloc_storage, size, __ATOMIC_SEQ_CST );
+		#endif // __STATISTICS__
+
+		return mallocNoStats( size );
 	} // aalloc
 
@@ -899,4 +862,5 @@
 		return callocNoStats( dim, elemSize );
 	} // calloc
+
 
 	// Change the size of the memory block pointed to by oaddr to size bytes. The contents are undefined.  If oaddr is
@@ -907,23 +871,31 @@
 		#ifdef __STATISTICS__
 		__atomic_add_fetch( &resize_calls, 1, __ATOMIC_SEQ_CST );
-		__atomic_add_fetch( &resize_storage, size, __ATOMIC_SEQ_CST );
 		#endif // __STATISTICS__
 
 		// If size is equal to 0, either NULL or a pointer suitable to be passed to free() is returned.
 	  if ( unlikely( size == 0 ) ) { free( oaddr ); return 0p; } // special cases
-	  if ( unlikely( oaddr == 0p ) ) return mallocNoStats( size );
+	  if ( unlikely( oaddr == 0p ) ) {
+			#ifdef __STATISTICS__
+			__atomic_add_fetch( &resize_storage, size, __ATOMIC_SEQ_CST );
+			#endif // __STATISTICS__
+			return mallocNoStats( size );
+		} // if
 
 		HeapManager.Storage.Header * header;
 		HeapManager.FreeHeader * freeElem;
-		size_t bsize, oalign = 0;
+		size_t bsize, oalign;
 		headers( "resize", oaddr, header, freeElem, bsize, oalign );
 
 		size_t odsize = dataStorage( bsize, oaddr, header ); // data storage available in bucket
 		// same size, DO NOT preserve STICKY PROPERTIES.
-	  if ( oalign == 0 && size <= odsize && odsize <= size * 2 ) { // allow 50% wasted storage for smaller size
+		if ( oalign <= libAlign() && size <= odsize && odsize <= size * 2 ) { // allow 50% wasted storage for smaller size
 			header->kind.real.blockSize &= -2;			// no alignment and turn off 0 fill
 			header->kind.real.size = size;				// reset allocation size
 			return oaddr;
 		} // if
+
+		#ifdef __STATISTICS__
+		__atomic_add_fetch( &resize_storage, size, __ATOMIC_SEQ_CST );
+		#endif // __STATISTICS__
 
 		// change size, DO NOT preserve STICKY PROPERTIES.
@@ -938,14 +910,18 @@
 		#ifdef __STATISTICS__
 		__atomic_add_fetch( &realloc_calls, 1, __ATOMIC_SEQ_CST );
-		__atomic_add_fetch( &realloc_storage, size, __ATOMIC_SEQ_CST );
 		#endif // __STATISTICS__
 
 		// If size is equal to 0, either NULL or a pointer suitable to be passed to free() is returned.
 	  if ( unlikely( size == 0 ) ) { free( oaddr ); return 0p; } // special cases
-	  if ( unlikely( oaddr == 0p ) ) return mallocNoStats( size );
+	  if ( unlikely( oaddr == 0p ) ) {
+			#ifdef __STATISTICS__
+			__atomic_add_fetch( &realloc_storage, size, __ATOMIC_SEQ_CST );
+			#endif // __STATISTICS__
+			return mallocNoStats( size );
+		} // if
 
 		HeapManager.Storage.Header * header;
 		HeapManager.FreeHeader * freeElem;
-		size_t bsize, oalign = 0;
+		size_t bsize, oalign;
 		headers( "realloc", oaddr, header, freeElem, bsize, oalign );
 
@@ -961,8 +937,12 @@
 		} // if
 
+		#ifdef __STATISTICS__
+	  	__atomic_add_fetch( &realloc_storage, size, __ATOMIC_SEQ_CST );
+		#endif // __STATISTICS__
+
 		// change size and copy old content to new storage
 
 		void * naddr;
-		if ( likely( oalign == 0 ) ) {					// previous request memalign?
+		if ( likely( oalign <= libAlign() ) ) {			// previous request not aligned ?
 			naddr = mallocNoStats( size );				// create new area
 		} else {
@@ -997,10 +977,11 @@
 	// Same as aalloc() with memory alignment.
 	void * amemalign( size_t alignment, size_t dim, size_t elemSize ) {
+		size_t size = dim * elemSize;
 		#ifdef __STATISTICS__
 		__atomic_add_fetch( &cmemalign_calls, 1, __ATOMIC_SEQ_CST );
-		__atomic_add_fetch( &cmemalign_storage, dim * elemSize, __ATOMIC_SEQ_CST );
-		#endif // __STATISTICS__
-
-		return memalignNoStats( alignment, dim * elemSize );
+		__atomic_add_fetch( &cmemalign_storage, size, __ATOMIC_SEQ_CST );
+		#endif // __STATISTICS__
+
+		return memalignNoStats( alignment, size );
 	} // amemalign
 
@@ -1028,5 +1009,5 @@
 	// free(3).
 	int posix_memalign( void ** memptr, size_t alignment, size_t size ) {
-	  if ( alignment < libAlign() || ! libPow2( alignment ) ) return EINVAL; // check alignment
+	  if ( alignment < libAlign() || ! is_pow2( alignment ) ) return EINVAL; // check alignment
 		* memptr = memalign( alignment, size );
 		return 0;
@@ -1042,5 +1023,5 @@
 	// Same as valloc but rounds size to multiple of page size.
 	void * pvalloc( size_t size ) {
-		return memalign( pageSize, libCeiling( size, pageSize ) );
+		return memalign( pageSize, ceiling2( size, pageSize ) );
 	} // pvalloc
 
@@ -1080,4 +1061,5 @@
 	} // malloc_alignment
 
+
 	// Set the alignment for an the allocation and return previous alignment or 0 if no alignment.
 	size_t $malloc_alignment_set( void * addr, size_t alignment ) {
@@ -1162,9 +1144,10 @@
 	} // malloc_stats
 
+
 	// Changes the file descripter where malloc_stats() writes statistics.
 	int malloc_stats_fd( int fd __attribute__(( unused )) ) {
 		#ifdef __STATISTICS__
-		int temp = statfd;
-		statfd = fd;
+		int temp = stat_fd;
+		stat_fd = fd;
 		return temp;
 		#else
@@ -1198,6 +1181,10 @@
 	// malloc).
 	int malloc_info( int options, FILE * stream ) {
-		if ( options != 0 ) { errno = EINVAL; return -1; }
+	  if ( options != 0 ) { errno = EINVAL; return -1; }
+		#ifdef __STATISTICS__
 		return printStatsXML( stream );
+		#else
+		return 0;										// unsupported
+		#endif // __STATISTICS__
 	} // malloc_info
 
@@ -1214,5 +1201,5 @@
 	// Restores the state of all malloc internal bookkeeping variables to the values recorded in the opaque data
 	// structure pointed to by state.
-	int malloc_set_state( void * ptr ) {
+	int malloc_set_state( void * ) {
 		return 0;										// unsupported
 	} // malloc_set_state
@@ -1224,10 +1211,14 @@
 	#ifdef __STATISTICS__
 	__atomic_add_fetch( &resize_calls, 1, __ATOMIC_SEQ_CST );
-	__atomic_add_fetch( &resize_storage, size, __ATOMIC_SEQ_CST );
 	#endif // __STATISTICS__
 
 	// If size is equal to 0, either NULL or a pointer suitable to be passed to free() is returned.
   if ( unlikely( size == 0 ) ) { free( oaddr ); return 0p; } // special cases
-  if ( unlikely( oaddr == 0p ) ) return memalignNoStats( nalign, size );
+  if ( unlikely( oaddr == 0p ) ) {
+		#ifdef __STATISTICS__
+		__atomic_add_fetch( &resize_storage, size, __ATOMIC_SEQ_CST );
+		#endif // __STATISTICS__
+		return memalignNoStats( nalign, size );
+	} // if
 
 	if ( unlikely( nalign < libAlign() ) ) nalign = libAlign(); // reset alignment to minimum
@@ -1239,5 +1230,5 @@
 	HeapManager.Storage.Header * header;
 	HeapManager.FreeHeader * freeElem;
-	size_t bsize, oalign = 0;
+	size_t bsize, oalign;
 	headers( "resize", oaddr, header, freeElem, bsize, oalign );
 	size_t odsize = dataStorage( bsize, oaddr, header ); // data storage available in bucket
@@ -1253,4 +1244,8 @@
 		} // if
 	} // if
+
+	#ifdef __STATISTICS__
+	__atomic_add_fetch( &resize_storage, size, __ATOMIC_SEQ_CST );
+	#endif // __STATISTICS__
 
 	// change size, DO NOT preserve STICKY PROPERTIES.
@@ -1269,5 +1264,5 @@
 	HeapManager.Storage.Header * header;
 	HeapManager.FreeHeader * freeElem;
-	size_t bsize, oalign = 0;
+	size_t bsize, oalign;
 	headers( "realloc", oaddr, header, freeElem, bsize, oalign );
 
Index: libcfa/src/heap.hfa
===================================================================
--- libcfa/src/heap.hfa	(revision dcf1979e45c41e88b207d2bab3d2cca8bc5a10d8)
+++ libcfa/src/heap.hfa	(revision e2702fd7b3981fd9a1de288a52f59a502b874720)
@@ -10,6 +10,6 @@
 // Created On       : Tue May 26 11:23:55 2020
 // Last Modified By : Peter A. Buhr
-// Last Modified On : Wed Aug  5 14:55:55 2020
-// Update Count     : 14
+// Last Modified On : Sat Aug  8 17:36:48 2020
+// Update Count     : 16
 // 
 
@@ -18,5 +18,4 @@
 size_t default_mmap_start();							// CFA extras
 size_t default_heap_expansion();
-bool default_heap_exhausted();							// unsafe to call printf!
 
 bool traceHeap();
@@ -31,4 +30,12 @@
 bool checkFreeOn();
 bool checkFreeOff();
+
+// supported mallopt options
+#ifndef M_MMAP_THRESHOLD
+#define M_MMAP_THRESHOLD (-1)
+#endif // M_TOP_PAD
+#ifndef M_TOP_PAD
+#define M_TOP_PAD (-2)
+#endif // M_TOP_PAD
 
 extern "C" {
Index: libcfa/src/iostream.cfa
===================================================================
--- libcfa/src/iostream.cfa	(revision dcf1979e45c41e88b207d2bab3d2cca8bc5a10d8)
+++ libcfa/src/iostream.cfa	(revision e2702fd7b3981fd9a1de288a52f59a502b874720)
@@ -10,6 +10,6 @@
 // Created On       : Wed May 27 17:56:53 2015
 // Last Modified By : Peter A. Buhr
-// Last Modified On : Mon Jul 20 15:00:37 2020
-// Update Count     : 1124
+// Last Modified On : Mon Aug 10 09:32:14 2020
+// Update Count     : 1126
 //
 
@@ -615,5 +615,5 @@
 						sepOff( os ); \
 						fmt2.flags.left = true;	\
-						int msigd = ceiling( high1( fmt.val ), 3 ); \
+						int msigd = ceiling_div( high1( fmt.val ), 3 ); \
 						fmt2.wd = f.wd - (fmt.pc > msigd ? fmt.pc : msigd); \
 						if ( ! fmt.flags.nobsdp ) fmt2.wd -= 1; /* compensate for 0 base specifier */ \
@@ -704,5 +704,5 @@
 					if ( f.base == 'd' && (f.flags.neg || f.flags.sign) ) bs = 1; // sign ?
 				} else {
-					dig = ceiling( high1( f.val ), bits );
+					dig = ceiling_div( high1( f.val ), bits );
 					if ( ! f.flags.nobsdp ) {			// base prefix ?
 						if ( f.base == 'o' ) {
Index: tests/.expect/bitmanip3.x64.txt
===================================================================
--- tests/.expect/bitmanip3.x64.txt	(revision dcf1979e45c41e88b207d2bab3d2cca8bc5a10d8)
+++ tests/.expect/bitmanip3.x64.txt	(revision e2702fd7b3981fd9a1de288a52f59a502b874720)
@@ -404,5 +404,4 @@
 
 signed char
-floor2(0, 0) = 0, floor2(2, 0) = 0, floor2(-2, 0) = 0
 floor2(1, 1) = 1, floor2(3, 1) = 3, floor2(-3, 1) = -3
 floor2(2, 2) = 2, floor2(4, 2) = 4, floor2(-4, 2) = -4
@@ -415,5 +414,4 @@
 
 unsigned char
-floor2(0, 0) = 0, floor2(2, 0) = 0, floor2(254, 0) = 0
 floor2(1, 1) = 1, floor2(3, 1) = 3, floor2(253, 1) = 253
 floor2(2, 2) = 2, floor2(4, 2) = 4, floor2(252, 2) = 252
@@ -426,5 +424,4 @@
 
 short int
-floor2(0, 0) = 0, floor2(2, 0) = 0, floor2(-2, 0) = 0
 floor2(1, 1) = 1, floor2(3, 1) = 3, floor2(-3, 1) = -3
 floor2(2, 2) = 2, floor2(4, 2) = 4, floor2(-4, 2) = -4
@@ -445,5 +442,4 @@
 
 unsigned short int
-floor2(0, 0) = 0, floor2(2, 0) = 0, floor2(65534, 0) = 0
 floor2(1, 1) = 1, floor2(3, 1) = 3, floor2(65533, 1) = 65533
 floor2(2, 2) = 2, floor2(4, 2) = 4, floor2(65532, 2) = 65532
@@ -464,5 +460,4 @@
 
 int
-floor2(0, 0) = 0, floor2(2, 0) = 0, floor2(-2, 0) = 0
 floor2(1, 1) = 1, floor2(3, 1) = 3, floor2(-3, 1) = -3
 floor2(2, 2) = 2, floor2(4, 2) = 4, floor2(-4, 2) = -4
@@ -499,5 +494,4 @@
 
 unsigned int
-floor2(0, 0) = 0, floor2(2, 0) = 0, floor2(4294967294, 0) = 0
 floor2(1, 1) = 1, floor2(3, 1) = 3, floor2(4294967293, 1) = 4294967293
 floor2(2, 2) = 2, floor2(4, 2) = 4, floor2(4294967292, 2) = 4294967292
@@ -534,5 +528,4 @@
 
 long int
-floor2(0, 0) = 0, floor2(2, 0) = 0, floor2(-2, 0) = 0
 floor2(1, 1) = 1, floor2(3, 1) = 3, floor2(-3, 1) = -3
 floor2(2, 2) = 2, floor2(4, 2) = 4, floor2(-4, 2) = -4
@@ -601,5 +594,4 @@
 
 unsigned long int
-floor2(0, 0) = 0, floor2(2, 0) = 0, floor2(18446744073709551614, 0) = 0
 floor2(1, 1) = 1, floor2(3, 1) = 3, floor2(18446744073709551613, 1) = 18446744073709551613
 floor2(2, 2) = 2, floor2(4, 2) = 4, floor2(18446744073709551612, 2) = 18446744073709551612
@@ -668,5 +660,4 @@
 
 long long int
-floor2(0, 0) = 0, floor2(2, 0) = 0, floor2(-2, 0) = 0
 floor2(1, 1) = 1, floor2(3, 1) = 3, floor2(-3, 1) = -3
 floor2(2, 2) = 2, floor2(4, 2) = 4, floor2(-4, 2) = -4
@@ -735,5 +726,4 @@
 
 unsigned long long int
-floor2(0, 0) = 0, floor2(2, 0) = 0, floor2(18446744073709551614, 0) = 0
 floor2(1, 1) = 1, floor2(3, 1) = 3, floor2(18446744073709551613, 1) = 18446744073709551613
 floor2(2, 2) = 2, floor2(4, 2) = 4, floor2(18446744073709551612, 2) = 18446744073709551612
@@ -1196,5 +1186,4 @@
 
 signed char
-ceiling2(0, 0) = 0, ceiling2(2, 0) = 0, ceiling2(-2, 0) = 0
 ceiling2(1, 1) = 1, ceiling2(3, 1) = 3, ceiling2(-3, 1) = -3
 ceiling2(2, 2) = 2, ceiling2(4, 2) = 4, ceiling2(-4, 2) = -4
@@ -1207,5 +1196,4 @@
 
 unsigned char
-ceiling2(0, 0) = 0, ceiling2(2, 0) = 0, ceiling2(254, 0) = 0
 ceiling2(1, 1) = 1, ceiling2(3, 1) = 3, ceiling2(253, 1) = 253
 ceiling2(2, 2) = 2, ceiling2(4, 2) = 4, ceiling2(252, 2) = 252
@@ -1218,5 +1206,4 @@
 
 short int
-ceiling2(0, 0) = 0, ceiling2(2, 0) = 0, ceiling2(-2, 0) = 0
 ceiling2(1, 1) = 1, ceiling2(3, 1) = 3, ceiling2(-3, 1) = -3
 ceiling2(2, 2) = 2, ceiling2(4, 2) = 4, ceiling2(-4, 2) = -4
@@ -1237,5 +1224,4 @@
 
 unsigned short int
-ceiling2(0, 0) = 0, ceiling2(2, 0) = 0, ceiling2(65534, 0) = 0
 ceiling2(1, 1) = 1, ceiling2(3, 1) = 3, ceiling2(65533, 1) = 65533
 ceiling2(2, 2) = 2, ceiling2(4, 2) = 4, ceiling2(65532, 2) = 65532
@@ -1256,5 +1242,4 @@
 
 int
-ceiling2(0, 0) = 0, ceiling2(2, 0) = 0, ceiling2(-2, 0) = 0
 ceiling2(1, 1) = 1, ceiling2(3, 1) = 3, ceiling2(-3, 1) = -3
 ceiling2(2, 2) = 2, ceiling2(4, 2) = 4, ceiling2(-4, 2) = -4
@@ -1291,5 +1276,4 @@
 
 unsigned int
-ceiling2(0, 0) = 0, ceiling2(2, 0) = 0, ceiling2(4294967294, 0) = 0
 ceiling2(1, 1) = 1, ceiling2(3, 1) = 3, ceiling2(4294967293, 1) = 4294967293
 ceiling2(2, 2) = 2, ceiling2(4, 2) = 4, ceiling2(4294967292, 2) = 4294967292
@@ -1326,5 +1310,4 @@
 
 long int
-ceiling2(0, 0) = 0, ceiling2(2, 0) = 0, ceiling2(-2, 0) = 0
 ceiling2(1, 1) = 1, ceiling2(3, 1) = 3, ceiling2(-3, 1) = -3
 ceiling2(2, 2) = 2, ceiling2(4, 2) = 4, ceiling2(-4, 2) = -4
@@ -1393,5 +1376,4 @@
 
 unsigned long int
-ceiling2(0, 0) = 0, ceiling2(2, 0) = 0, ceiling2(18446744073709551614, 0) = 0
 ceiling2(1, 1) = 1, ceiling2(3, 1) = 3, ceiling2(18446744073709551613, 1) = 18446744073709551613
 ceiling2(2, 2) = 2, ceiling2(4, 2) = 4, ceiling2(18446744073709551612, 2) = 18446744073709551612
@@ -1460,5 +1442,4 @@
 
 long long int
-ceiling2(0, 0) = 0, ceiling2(2, 0) = 0, ceiling2(-2, 0) = 0
 ceiling2(1, 1) = 1, ceiling2(3, 1) = 3, ceiling2(-3, 1) = -3
 ceiling2(2, 2) = 2, ceiling2(4, 2) = 4, ceiling2(-4, 2) = -4
@@ -1527,5 +1508,4 @@
 
 unsigned long long int
-ceiling2(0, 0) = 0, ceiling2(2, 0) = 0, ceiling2(18446744073709551614, 0) = 0
 ceiling2(1, 1) = 1, ceiling2(3, 1) = 3, ceiling2(18446744073709551613, 1) = 18446744073709551613
 ceiling2(2, 2) = 2, ceiling2(4, 2) = 4, ceiling2(18446744073709551612, 2) = 18446744073709551612
@@ -1594,392 +1574,783 @@
 
 
+ceiling_div
+
+signed char
+ceiling_div(1, 1) = 1, ceiling_div(3, 1) = 3, ceiling_div(-3, 1) = -3
+ceiling_div(2, 2) = 1, ceiling_div(4, 2) = 2, ceiling_div(-4, 2) = -1
+ceiling_div(4, 4) = 1, ceiling_div(6, 4) = 2, ceiling_div(-6, 4) = 0
+ceiling_div(8, 8) = 1, ceiling_div(10, 8) = 2, ceiling_div(-10, 8) = 0
+ceiling_div(16, 16) = 1, ceiling_div(18, 16) = 2, ceiling_div(-18, 16) = 0
+ceiling_div(32, 32) = 1, ceiling_div(34, 32) = 2, ceiling_div(-34, 32) = 0
+ceiling_div(64, 64) = 1, ceiling_div(66, 64) = 2, ceiling_div(-66, 64) = 0
+ceiling_div(-128, -128) = 2, ceiling_div(-126, -128) = 1, ceiling_div(126, -128) = 0
+
+unsigned char
+ceiling_div(1, 1) = 1, ceiling_div(3, 1) = 3, ceiling_div(253, 1) = 253
+ceiling_div(2, 2) = 1, ceiling_div(4, 2) = 2, ceiling_div(252, 2) = 126
+ceiling_div(4, 4) = 1, ceiling_div(6, 4) = 2, ceiling_div(250, 4) = 63
+ceiling_div(8, 8) = 1, ceiling_div(10, 8) = 2, ceiling_div(246, 8) = 31
+ceiling_div(16, 16) = 1, ceiling_div(18, 16) = 2, ceiling_div(238, 16) = 15
+ceiling_div(32, 32) = 1, ceiling_div(34, 32) = 2, ceiling_div(222, 32) = 7
+ceiling_div(64, 64) = 1, ceiling_div(66, 64) = 2, ceiling_div(190, 64) = 3
+ceiling_div(128, 128) = 1, ceiling_div(130, 128) = 2, ceiling_div(126, 128) = 1
+
+short int
+ceiling_div(1, 1) = 1, ceiling_div(3, 1) = 3, ceiling_div(-3, 1) = -3
+ceiling_div(2, 2) = 1, ceiling_div(4, 2) = 2, ceiling_div(-4, 2) = -1
+ceiling_div(4, 4) = 1, ceiling_div(6, 4) = 2, ceiling_div(-6, 4) = 0
+ceiling_div(8, 8) = 1, ceiling_div(10, 8) = 2, ceiling_div(-10, 8) = 0
+ceiling_div(16, 16) = 1, ceiling_div(18, 16) = 2, ceiling_div(-18, 16) = 0
+ceiling_div(32, 32) = 1, ceiling_div(34, 32) = 2, ceiling_div(-34, 32) = 0
+ceiling_div(64, 64) = 1, ceiling_div(66, 64) = 2, ceiling_div(-66, 64) = 0
+ceiling_div(128, 128) = 1, ceiling_div(130, 128) = 2, ceiling_div(-130, 128) = 0
+ceiling_div(256, 256) = 1, ceiling_div(258, 256) = 2, ceiling_div(-258, 256) = 0
+ceiling_div(512, 512) = 1, ceiling_div(514, 512) = 2, ceiling_div(-514, 512) = 0
+ceiling_div(1024, 1024) = 1, ceiling_div(1026, 1024) = 2, ceiling_div(-1026, 1024) = 0
+ceiling_div(2048, 2048) = 1, ceiling_div(2050, 2048) = 2, ceiling_div(-2050, 2048) = 0
+ceiling_div(4096, 4096) = 1, ceiling_div(4098, 4096) = 2, ceiling_div(-4098, 4096) = 0
+ceiling_div(8192, 8192) = 1, ceiling_div(8194, 8192) = 2, ceiling_div(-8194, 8192) = 0
+ceiling_div(16384, 16384) = 1, ceiling_div(16386, 16384) = 2, ceiling_div(-16386, 16384) = 0
+ceiling_div(-32768, -32768) = 2, ceiling_div(-32766, -32768) = 1, ceiling_div(32766, -32768) = 0
+
+unsigned short int
+ceiling_div(1, 1) = 1, ceiling_div(3, 1) = 3, ceiling_div(65533, 1) = 65533
+ceiling_div(2, 2) = 1, ceiling_div(4, 2) = 2, ceiling_div(65532, 2) = 32766
+ceiling_div(4, 4) = 1, ceiling_div(6, 4) = 2, ceiling_div(65530, 4) = 16383
+ceiling_div(8, 8) = 1, ceiling_div(10, 8) = 2, ceiling_div(65526, 8) = 8191
+ceiling_div(16, 16) = 1, ceiling_div(18, 16) = 2, ceiling_div(65518, 16) = 4095
+ceiling_div(32, 32) = 1, ceiling_div(34, 32) = 2, ceiling_div(65502, 32) = 2047
+ceiling_div(64, 64) = 1, ceiling_div(66, 64) = 2, ceiling_div(65470, 64) = 1023
+ceiling_div(128, 128) = 1, ceiling_div(130, 128) = 2, ceiling_div(65406, 128) = 511
+ceiling_div(256, 256) = 1, ceiling_div(258, 256) = 2, ceiling_div(65278, 256) = 255
+ceiling_div(512, 512) = 1, ceiling_div(514, 512) = 2, ceiling_div(65022, 512) = 127
+ceiling_div(1024, 1024) = 1, ceiling_div(1026, 1024) = 2, ceiling_div(64510, 1024) = 63
+ceiling_div(2048, 2048) = 1, ceiling_div(2050, 2048) = 2, ceiling_div(63486, 2048) = 31
+ceiling_div(4096, 4096) = 1, ceiling_div(4098, 4096) = 2, ceiling_div(61438, 4096) = 15
+ceiling_div(8192, 8192) = 1, ceiling_div(8194, 8192) = 2, ceiling_div(57342, 8192) = 7
+ceiling_div(16384, 16384) = 1, ceiling_div(16386, 16384) = 2, ceiling_div(49150, 16384) = 3
+ceiling_div(32768, 32768) = 1, ceiling_div(32770, 32768) = 2, ceiling_div(32766, 32768) = 1
+
+int
+ceiling_div(1, 1) = 1, ceiling_div(3, 1) = 3, ceiling_div(-3, 1) = -3
+ceiling_div(2, 2) = 1, ceiling_div(4, 2) = 2, ceiling_div(-4, 2) = -1
+ceiling_div(4, 4) = 1, ceiling_div(6, 4) = 2, ceiling_div(-6, 4) = 0
+ceiling_div(8, 8) = 1, ceiling_div(10, 8) = 2, ceiling_div(-10, 8) = 0
+ceiling_div(16, 16) = 1, ceiling_div(18, 16) = 2, ceiling_div(-18, 16) = 0
+ceiling_div(32, 32) = 1, ceiling_div(34, 32) = 2, ceiling_div(-34, 32) = 0
+ceiling_div(64, 64) = 1, ceiling_div(66, 64) = 2, ceiling_div(-66, 64) = 0
+ceiling_div(128, 128) = 1, ceiling_div(130, 128) = 2, ceiling_div(-130, 128) = 0
+ceiling_div(256, 256) = 1, ceiling_div(258, 256) = 2, ceiling_div(-258, 256) = 0
+ceiling_div(512, 512) = 1, ceiling_div(514, 512) = 2, ceiling_div(-514, 512) = 0
+ceiling_div(1024, 1024) = 1, ceiling_div(1026, 1024) = 2, ceiling_div(-1026, 1024) = 0
+ceiling_div(2048, 2048) = 1, ceiling_div(2050, 2048) = 2, ceiling_div(-2050, 2048) = 0
+ceiling_div(4096, 4096) = 1, ceiling_div(4098, 4096) = 2, ceiling_div(-4098, 4096) = 0
+ceiling_div(8192, 8192) = 1, ceiling_div(8194, 8192) = 2, ceiling_div(-8194, 8192) = 0
+ceiling_div(16384, 16384) = 1, ceiling_div(16386, 16384) = 2, ceiling_div(-16386, 16384) = 0
+ceiling_div(32768, 32768) = 1, ceiling_div(32770, 32768) = 2, ceiling_div(-32770, 32768) = 0
+ceiling_div(65536, 65536) = 1, ceiling_div(65538, 65536) = 2, ceiling_div(-65538, 65536) = 0
+ceiling_div(131072, 131072) = 1, ceiling_div(131074, 131072) = 2, ceiling_div(-131074, 131072) = 0
+ceiling_div(262144, 262144) = 1, ceiling_div(262146, 262144) = 2, ceiling_div(-262146, 262144) = 0
+ceiling_div(524288, 524288) = 1, ceiling_div(524290, 524288) = 2, ceiling_div(-524290, 524288) = 0
+ceiling_div(1048576, 1048576) = 1, ceiling_div(1048578, 1048576) = 2, ceiling_div(-1048578, 1048576) = 0
+ceiling_div(2097152, 2097152) = 1, ceiling_div(2097154, 2097152) = 2, ceiling_div(-2097154, 2097152) = 0
+ceiling_div(4194304, 4194304) = 1, ceiling_div(4194306, 4194304) = 2, ceiling_div(-4194306, 4194304) = 0
+ceiling_div(8388608, 8388608) = 1, ceiling_div(8388610, 8388608) = 2, ceiling_div(-8388610, 8388608) = 0
+ceiling_div(16777216, 16777216) = 1, ceiling_div(16777218, 16777216) = 2, ceiling_div(-16777218, 16777216) = 0
+ceiling_div(33554432, 33554432) = 1, ceiling_div(33554434, 33554432) = 2, ceiling_div(-33554434, 33554432) = 0
+ceiling_div(67108864, 67108864) = 1, ceiling_div(67108866, 67108864) = 2, ceiling_div(-67108866, 67108864) = 0
+ceiling_div(134217728, 134217728) = 1, ceiling_div(134217730, 134217728) = 2, ceiling_div(-134217730, 134217728) = 0
+ceiling_div(268435456, 268435456) = 1, ceiling_div(268435458, 268435456) = 2, ceiling_div(-268435458, 268435456) = 0
+ceiling_div(536870912, 536870912) = 1, ceiling_div(536870914, 536870912) = 2, ceiling_div(-536870914, 536870912) = 0
+ceiling_div(1073741824, 1073741824) = 1, ceiling_div(1073741826, 1073741824) = -1, ceiling_div(-1073741826, 1073741824) = 0
+ceiling_div(-2147483648, -2147483648) = 0, ceiling_div(-2147483646, -2147483648) = 0, ceiling_div(2147483646, -2147483648) = 0
+
+unsigned int
+ceiling_div(1, 1) = 1, ceiling_div(3, 1) = 3, ceiling_div(4294967293, 1) = 4294967293
+ceiling_div(2, 2) = 1, ceiling_div(4, 2) = 2, ceiling_div(4294967292, 2) = 2147483646
+ceiling_div(4, 4) = 1, ceiling_div(6, 4) = 2, ceiling_div(4294967290, 4) = 1073741823
+ceiling_div(8, 8) = 1, ceiling_div(10, 8) = 2, ceiling_div(4294967286, 8) = 536870911
+ceiling_div(16, 16) = 1, ceiling_div(18, 16) = 2, ceiling_div(4294967278, 16) = 268435455
+ceiling_div(32, 32) = 1, ceiling_div(34, 32) = 2, ceiling_div(4294967262, 32) = 134217727
+ceiling_div(64, 64) = 1, ceiling_div(66, 64) = 2, ceiling_div(4294967230, 64) = 67108863
+ceiling_div(128, 128) = 1, ceiling_div(130, 128) = 2, ceiling_div(4294967166, 128) = 33554431
+ceiling_div(256, 256) = 1, ceiling_div(258, 256) = 2, ceiling_div(4294967038, 256) = 16777215
+ceiling_div(512, 512) = 1, ceiling_div(514, 512) = 2, ceiling_div(4294966782, 512) = 8388607
+ceiling_div(1024, 1024) = 1, ceiling_div(1026, 1024) = 2, ceiling_div(4294966270, 1024) = 4194303
+ceiling_div(2048, 2048) = 1, ceiling_div(2050, 2048) = 2, ceiling_div(4294965246, 2048) = 2097151
+ceiling_div(4096, 4096) = 1, ceiling_div(4098, 4096) = 2, ceiling_div(4294963198, 4096) = 1048575
+ceiling_div(8192, 8192) = 1, ceiling_div(8194, 8192) = 2, ceiling_div(4294959102, 8192) = 524287
+ceiling_div(16384, 16384) = 1, ceiling_div(16386, 16384) = 2, ceiling_div(4294950910, 16384) = 262143
+ceiling_div(32768, 32768) = 1, ceiling_div(32770, 32768) = 2, ceiling_div(4294934526, 32768) = 131071
+ceiling_div(65536, 65536) = 1, ceiling_div(65538, 65536) = 2, ceiling_div(4294901758, 65536) = 65535
+ceiling_div(131072, 131072) = 1, ceiling_div(131074, 131072) = 2, ceiling_div(4294836222, 131072) = 32767
+ceiling_div(262144, 262144) = 1, ceiling_div(262146, 262144) = 2, ceiling_div(4294705150, 262144) = 16383
+ceiling_div(524288, 524288) = 1, ceiling_div(524290, 524288) = 2, ceiling_div(4294443006, 524288) = 8191
+ceiling_div(1048576, 1048576) = 1, ceiling_div(1048578, 1048576) = 2, ceiling_div(4293918718, 1048576) = 4095
+ceiling_div(2097152, 2097152) = 1, ceiling_div(2097154, 2097152) = 2, ceiling_div(4292870142, 2097152) = 2047
+ceiling_div(4194304, 4194304) = 1, ceiling_div(4194306, 4194304) = 2, ceiling_div(4290772990, 4194304) = 1023
+ceiling_div(8388608, 8388608) = 1, ceiling_div(8388610, 8388608) = 2, ceiling_div(4286578686, 8388608) = 511
+ceiling_div(16777216, 16777216) = 1, ceiling_div(16777218, 16777216) = 2, ceiling_div(4278190078, 16777216) = 255
+ceiling_div(33554432, 33554432) = 1, ceiling_div(33554434, 33554432) = 2, ceiling_div(4261412862, 33554432) = 127
+ceiling_div(67108864, 67108864) = 1, ceiling_div(67108866, 67108864) = 2, ceiling_div(4227858430, 67108864) = 63
+ceiling_div(134217728, 134217728) = 1, ceiling_div(134217730, 134217728) = 2, ceiling_div(4160749566, 134217728) = 31
+ceiling_div(268435456, 268435456) = 1, ceiling_div(268435458, 268435456) = 2, ceiling_div(4026531838, 268435456) = 15
+ceiling_div(536870912, 536870912) = 1, ceiling_div(536870914, 536870912) = 2, ceiling_div(3758096382, 536870912) = 7
+ceiling_div(1073741824, 1073741824) = 1, ceiling_div(1073741826, 1073741824) = 2, ceiling_div(3221225470, 1073741824) = 3
+ceiling_div(2147483648, 2147483648) = 1, ceiling_div(2147483650, 2147483648) = 0, ceiling_div(2147483646, 2147483648) = 1
+
+long int
+ceiling_div(1, 1) = 1, ceiling_div(3, 1) = 3, ceiling_div(-3, 1) = -3
+ceiling_div(2, 2) = 1, ceiling_div(4, 2) = 2, ceiling_div(-4, 2) = -1
+ceiling_div(4, 4) = 1, ceiling_div(6, 4) = 2, ceiling_div(-6, 4) = 0
+ceiling_div(8, 8) = 1, ceiling_div(10, 8) = 2, ceiling_div(-10, 8) = 0
+ceiling_div(16, 16) = 1, ceiling_div(18, 16) = 2, ceiling_div(-18, 16) = 0
+ceiling_div(32, 32) = 1, ceiling_div(34, 32) = 2, ceiling_div(-34, 32) = 0
+ceiling_div(64, 64) = 1, ceiling_div(66, 64) = 2, ceiling_div(-66, 64) = 0
+ceiling_div(128, 128) = 1, ceiling_div(130, 128) = 2, ceiling_div(-130, 128) = 0
+ceiling_div(256, 256) = 1, ceiling_div(258, 256) = 2, ceiling_div(-258, 256) = 0
+ceiling_div(512, 512) = 1, ceiling_div(514, 512) = 2, ceiling_div(-514, 512) = 0
+ceiling_div(1024, 1024) = 1, ceiling_div(1026, 1024) = 2, ceiling_div(-1026, 1024) = 0
+ceiling_div(2048, 2048) = 1, ceiling_div(2050, 2048) = 2, ceiling_div(-2050, 2048) = 0
+ceiling_div(4096, 4096) = 1, ceiling_div(4098, 4096) = 2, ceiling_div(-4098, 4096) = 0
+ceiling_div(8192, 8192) = 1, ceiling_div(8194, 8192) = 2, ceiling_div(-8194, 8192) = 0
+ceiling_div(16384, 16384) = 1, ceiling_div(16386, 16384) = 2, ceiling_div(-16386, 16384) = 0
+ceiling_div(32768, 32768) = 1, ceiling_div(32770, 32768) = 2, ceiling_div(-32770, 32768) = 0
+ceiling_div(65536, 65536) = 1, ceiling_div(65538, 65536) = 2, ceiling_div(-65538, 65536) = 0
+ceiling_div(131072, 131072) = 1, ceiling_div(131074, 131072) = 2, ceiling_div(-131074, 131072) = 0
+ceiling_div(262144, 262144) = 1, ceiling_div(262146, 262144) = 2, ceiling_div(-262146, 262144) = 0
+ceiling_div(524288, 524288) = 1, ceiling_div(524290, 524288) = 2, ceiling_div(-524290, 524288) = 0
+ceiling_div(1048576, 1048576) = 1, ceiling_div(1048578, 1048576) = 2, ceiling_div(-1048578, 1048576) = 0
+ceiling_div(2097152, 2097152) = 1, ceiling_div(2097154, 2097152) = 2, ceiling_div(-2097154, 2097152) = 0
+ceiling_div(4194304, 4194304) = 1, ceiling_div(4194306, 4194304) = 2, ceiling_div(-4194306, 4194304) = 0
+ceiling_div(8388608, 8388608) = 1, ceiling_div(8388610, 8388608) = 2, ceiling_div(-8388610, 8388608) = 0
+ceiling_div(16777216, 16777216) = 1, ceiling_div(16777218, 16777216) = 2, ceiling_div(-16777218, 16777216) = 0
+ceiling_div(33554432, 33554432) = 1, ceiling_div(33554434, 33554432) = 2, ceiling_div(-33554434, 33554432) = 0
+ceiling_div(67108864, 67108864) = 1, ceiling_div(67108866, 67108864) = 2, ceiling_div(-67108866, 67108864) = 0
+ceiling_div(134217728, 134217728) = 1, ceiling_div(134217730, 134217728) = 2, ceiling_div(-134217730, 134217728) = 0
+ceiling_div(268435456, 268435456) = 1, ceiling_div(268435458, 268435456) = 2, ceiling_div(-268435458, 268435456) = 0
+ceiling_div(536870912, 536870912) = 1, ceiling_div(536870914, 536870912) = 2, ceiling_div(-536870914, 536870912) = 0
+ceiling_div(1073741824, 1073741824) = 1, ceiling_div(1073741826, 1073741824) = 2, ceiling_div(-1073741826, 1073741824) = 0
+ceiling_div(2147483648, 2147483648) = 1, ceiling_div(2147483650, 2147483648) = 2, ceiling_div(-2147483650, 2147483648) = 0
+ceiling_div(4294967296, 4294967296) = 1, ceiling_div(4294967298, 4294967296) = 2, ceiling_div(-4294967298, 4294967296) = 0
+ceiling_div(8589934592, 8589934592) = 1, ceiling_div(8589934594, 8589934592) = 2, ceiling_div(-8589934594, 8589934592) = 0
+ceiling_div(17179869184, 17179869184) = 1, ceiling_div(17179869186, 17179869184) = 2, ceiling_div(-17179869186, 17179869184) = 0
+ceiling_div(34359738368, 34359738368) = 1, ceiling_div(34359738370, 34359738368) = 2, ceiling_div(-34359738370, 34359738368) = 0
+ceiling_div(68719476736, 68719476736) = 1, ceiling_div(68719476738, 68719476736) = 2, ceiling_div(-68719476738, 68719476736) = 0
+ceiling_div(137438953472, 137438953472) = 1, ceiling_div(137438953474, 137438953472) = 2, ceiling_div(-137438953474, 137438953472) = 0
+ceiling_div(274877906944, 274877906944) = 1, ceiling_div(274877906946, 274877906944) = 2, ceiling_div(-274877906946, 274877906944) = 0
+ceiling_div(549755813888, 549755813888) = 1, ceiling_div(549755813890, 549755813888) = 2, ceiling_div(-549755813890, 549755813888) = 0
+ceiling_div(1099511627776, 1099511627776) = 1, ceiling_div(1099511627778, 1099511627776) = 2, ceiling_div(-1099511627778, 1099511627776) = 0
+ceiling_div(2199023255552, 2199023255552) = 1, ceiling_div(2199023255554, 2199023255552) = 2, ceiling_div(-2199023255554, 2199023255552) = 0
+ceiling_div(4398046511104, 4398046511104) = 1, ceiling_div(4398046511106, 4398046511104) = 2, ceiling_div(-4398046511106, 4398046511104) = 0
+ceiling_div(8796093022208, 8796093022208) = 1, ceiling_div(8796093022210, 8796093022208) = 2, ceiling_div(-8796093022210, 8796093022208) = 0
+ceiling_div(17592186044416, 17592186044416) = 1, ceiling_div(17592186044418, 17592186044416) = 2, ceiling_div(-17592186044418, 17592186044416) = 0
+ceiling_div(35184372088832, 35184372088832) = 1, ceiling_div(35184372088834, 35184372088832) = 2, ceiling_div(-35184372088834, 35184372088832) = 0
+ceiling_div(70368744177664, 70368744177664) = 1, ceiling_div(70368744177666, 70368744177664) = 2, ceiling_div(-70368744177666, 70368744177664) = 0
+ceiling_div(140737488355328, 140737488355328) = 1, ceiling_div(140737488355330, 140737488355328) = 2, ceiling_div(-140737488355330, 140737488355328) = 0
+ceiling_div(281474976710656, 281474976710656) = 1, ceiling_div(281474976710658, 281474976710656) = 2, ceiling_div(-281474976710658, 281474976710656) = 0
+ceiling_div(562949953421312, 562949953421312) = 1, ceiling_div(562949953421314, 562949953421312) = 2, ceiling_div(-562949953421314, 562949953421312) = 0
+ceiling_div(1125899906842624, 1125899906842624) = 1, ceiling_div(1125899906842626, 1125899906842624) = 2, ceiling_div(-1125899906842626, 1125899906842624) = 0
+ceiling_div(2251799813685248, 2251799813685248) = 1, ceiling_div(2251799813685250, 2251799813685248) = 2, ceiling_div(-2251799813685250, 2251799813685248) = 0
+ceiling_div(4503599627370496, 4503599627370496) = 1, ceiling_div(4503599627370498, 4503599627370496) = 2, ceiling_div(-4503599627370498, 4503599627370496) = 0
+ceiling_div(9007199254740992, 9007199254740992) = 1, ceiling_div(9007199254740994, 9007199254740992) = 2, ceiling_div(-9007199254740994, 9007199254740992) = 0
+ceiling_div(18014398509481984, 18014398509481984) = 1, ceiling_div(18014398509481986, 18014398509481984) = 2, ceiling_div(-18014398509481986, 18014398509481984) = 0
+ceiling_div(36028797018963968, 36028797018963968) = 1, ceiling_div(36028797018963970, 36028797018963968) = 2, ceiling_div(-36028797018963970, 36028797018963968) = 0
+ceiling_div(72057594037927936, 72057594037927936) = 1, ceiling_div(72057594037927938, 72057594037927936) = 2, ceiling_div(-72057594037927938, 72057594037927936) = 0
+ceiling_div(144115188075855872, 144115188075855872) = 1, ceiling_div(144115188075855874, 144115188075855872) = 2, ceiling_div(-144115188075855874, 144115188075855872) = 0
+ceiling_div(288230376151711744, 288230376151711744) = 1, ceiling_div(288230376151711746, 288230376151711744) = 2, ceiling_div(-288230376151711746, 288230376151711744) = 0
+ceiling_div(576460752303423488, 576460752303423488) = 1, ceiling_div(576460752303423490, 576460752303423488) = 2, ceiling_div(-576460752303423490, 576460752303423488) = 0
+ceiling_div(1152921504606846976, 1152921504606846976) = 1, ceiling_div(1152921504606846978, 1152921504606846976) = 2, ceiling_div(-1152921504606846978, 1152921504606846976) = 0
+ceiling_div(2305843009213693952, 2305843009213693952) = 1, ceiling_div(2305843009213693954, 2305843009213693952) = 2, ceiling_div(-2305843009213693954, 2305843009213693952) = 0
+ceiling_div(4611686018427387904, 4611686018427387904) = 1, ceiling_div(4611686018427387906, 4611686018427387904) = -1, ceiling_div(-4611686018427387906, 4611686018427387904) = 0
+ceiling_div(-9223372036854775808, -9223372036854775808) = 0, ceiling_div(-9223372036854775806, -9223372036854775808) = 0, ceiling_div(9223372036854775806, -9223372036854775808) = 0
+
+unsigned long int
+ceiling_div(1, 1) = 1, ceiling_div(3, 1) = 3, ceiling_div(18446744073709551613, 1) = 18446744073709551613
+ceiling_div(2, 2) = 1, ceiling_div(4, 2) = 2, ceiling_div(18446744073709551612, 2) = 9223372036854775806
+ceiling_div(4, 4) = 1, ceiling_div(6, 4) = 2, ceiling_div(18446744073709551610, 4) = 4611686018427387903
+ceiling_div(8, 8) = 1, ceiling_div(10, 8) = 2, ceiling_div(18446744073709551606, 8) = 2305843009213693951
+ceiling_div(16, 16) = 1, ceiling_div(18, 16) = 2, ceiling_div(18446744073709551598, 16) = 1152921504606846975
+ceiling_div(32, 32) = 1, ceiling_div(34, 32) = 2, ceiling_div(18446744073709551582, 32) = 576460752303423487
+ceiling_div(64, 64) = 1, ceiling_div(66, 64) = 2, ceiling_div(18446744073709551550, 64) = 288230376151711743
+ceiling_div(128, 128) = 1, ceiling_div(130, 128) = 2, ceiling_div(18446744073709551486, 128) = 144115188075855871
+ceiling_div(256, 256) = 1, ceiling_div(258, 256) = 2, ceiling_div(18446744073709551358, 256) = 72057594037927935
+ceiling_div(512, 512) = 1, ceiling_div(514, 512) = 2, ceiling_div(18446744073709551102, 512) = 36028797018963967
+ceiling_div(1024, 1024) = 1, ceiling_div(1026, 1024) = 2, ceiling_div(18446744073709550590, 1024) = 18014398509481983
+ceiling_div(2048, 2048) = 1, ceiling_div(2050, 2048) = 2, ceiling_div(18446744073709549566, 2048) = 9007199254740991
+ceiling_div(4096, 4096) = 1, ceiling_div(4098, 4096) = 2, ceiling_div(18446744073709547518, 4096) = 4503599627370495
+ceiling_div(8192, 8192) = 1, ceiling_div(8194, 8192) = 2, ceiling_div(18446744073709543422, 8192) = 2251799813685247
+ceiling_div(16384, 16384) = 1, ceiling_div(16386, 16384) = 2, ceiling_div(18446744073709535230, 16384) = 1125899906842623
+ceiling_div(32768, 32768) = 1, ceiling_div(32770, 32768) = 2, ceiling_div(18446744073709518846, 32768) = 562949953421311
+ceiling_div(65536, 65536) = 1, ceiling_div(65538, 65536) = 2, ceiling_div(18446744073709486078, 65536) = 281474976710655
+ceiling_div(131072, 131072) = 1, ceiling_div(131074, 131072) = 2, ceiling_div(18446744073709420542, 131072) = 140737488355327
+ceiling_div(262144, 262144) = 1, ceiling_div(262146, 262144) = 2, ceiling_div(18446744073709289470, 262144) = 70368744177663
+ceiling_div(524288, 524288) = 1, ceiling_div(524290, 524288) = 2, ceiling_div(18446744073709027326, 524288) = 35184372088831
+ceiling_div(1048576, 1048576) = 1, ceiling_div(1048578, 1048576) = 2, ceiling_div(18446744073708503038, 1048576) = 17592186044415
+ceiling_div(2097152, 2097152) = 1, ceiling_div(2097154, 2097152) = 2, ceiling_div(18446744073707454462, 2097152) = 8796093022207
+ceiling_div(4194304, 4194304) = 1, ceiling_div(4194306, 4194304) = 2, ceiling_div(18446744073705357310, 4194304) = 4398046511103
+ceiling_div(8388608, 8388608) = 1, ceiling_div(8388610, 8388608) = 2, ceiling_div(18446744073701163006, 8388608) = 2199023255551
+ceiling_div(16777216, 16777216) = 1, ceiling_div(16777218, 16777216) = 2, ceiling_div(18446744073692774398, 16777216) = 1099511627775
+ceiling_div(33554432, 33554432) = 1, ceiling_div(33554434, 33554432) = 2, ceiling_div(18446744073675997182, 33554432) = 549755813887
+ceiling_div(67108864, 67108864) = 1, ceiling_div(67108866, 67108864) = 2, ceiling_div(18446744073642442750, 67108864) = 274877906943
+ceiling_div(134217728, 134217728) = 1, ceiling_div(134217730, 134217728) = 2, ceiling_div(18446744073575333886, 134217728) = 137438953471
+ceiling_div(268435456, 268435456) = 1, ceiling_div(268435458, 268435456) = 2, ceiling_div(18446744073441116158, 268435456) = 68719476735
+ceiling_div(536870912, 536870912) = 1, ceiling_div(536870914, 536870912) = 2, ceiling_div(18446744073172680702, 536870912) = 34359738367
+ceiling_div(1073741824, 1073741824) = 1, ceiling_div(1073741826, 1073741824) = 2, ceiling_div(18446744072635809790, 1073741824) = 17179869183
+ceiling_div(2147483648, 2147483648) = 1, ceiling_div(2147483650, 2147483648) = 2, ceiling_div(18446744071562067966, 2147483648) = 8589934591
+ceiling_div(4294967296, 4294967296) = 1, ceiling_div(4294967298, 4294967296) = 2, ceiling_div(18446744069414584318, 4294967296) = 4294967295
+ceiling_div(8589934592, 8589934592) = 1, ceiling_div(8589934594, 8589934592) = 2, ceiling_div(18446744065119617022, 8589934592) = 2147483647
+ceiling_div(17179869184, 17179869184) = 1, ceiling_div(17179869186, 17179869184) = 2, ceiling_div(18446744056529682430, 17179869184) = 1073741823
+ceiling_div(34359738368, 34359738368) = 1, ceiling_div(34359738370, 34359738368) = 2, ceiling_div(18446744039349813246, 34359738368) = 536870911
+ceiling_div(68719476736, 68719476736) = 1, ceiling_div(68719476738, 68719476736) = 2, ceiling_div(18446744004990074878, 68719476736) = 268435455
+ceiling_div(137438953472, 137438953472) = 1, ceiling_div(137438953474, 137438953472) = 2, ceiling_div(18446743936270598142, 137438953472) = 134217727
+ceiling_div(274877906944, 274877906944) = 1, ceiling_div(274877906946, 274877906944) = 2, ceiling_div(18446743798831644670, 274877906944) = 67108863
+ceiling_div(549755813888, 549755813888) = 1, ceiling_div(549755813890, 549755813888) = 2, ceiling_div(18446743523953737726, 549755813888) = 33554431
+ceiling_div(1099511627776, 1099511627776) = 1, ceiling_div(1099511627778, 1099511627776) = 2, ceiling_div(18446742974197923838, 1099511627776) = 16777215
+ceiling_div(2199023255552, 2199023255552) = 1, ceiling_div(2199023255554, 2199023255552) = 2, ceiling_div(18446741874686296062, 2199023255552) = 8388607
+ceiling_div(4398046511104, 4398046511104) = 1, ceiling_div(4398046511106, 4398046511104) = 2, ceiling_div(18446739675663040510, 4398046511104) = 4194303
+ceiling_div(8796093022208, 8796093022208) = 1, ceiling_div(8796093022210, 8796093022208) = 2, ceiling_div(18446735277616529406, 8796093022208) = 2097151
+ceiling_div(17592186044416, 17592186044416) = 1, ceiling_div(17592186044418, 17592186044416) = 2, ceiling_div(18446726481523507198, 17592186044416) = 1048575
+ceiling_div(35184372088832, 35184372088832) = 1, ceiling_div(35184372088834, 35184372088832) = 2, ceiling_div(18446708889337462782, 35184372088832) = 524287
+ceiling_div(70368744177664, 70368744177664) = 1, ceiling_div(70368744177666, 70368744177664) = 2, ceiling_div(18446673704965373950, 70368744177664) = 262143
+ceiling_div(140737488355328, 140737488355328) = 1, ceiling_div(140737488355330, 140737488355328) = 2, ceiling_div(18446603336221196286, 140737488355328) = 131071
+ceiling_div(281474976710656, 281474976710656) = 1, ceiling_div(281474976710658, 281474976710656) = 2, ceiling_div(18446462598732840958, 281474976710656) = 65535
+ceiling_div(562949953421312, 562949953421312) = 1, ceiling_div(562949953421314, 562949953421312) = 2, ceiling_div(18446181123756130302, 562949953421312) = 32767
+ceiling_div(1125899906842624, 1125899906842624) = 1, ceiling_div(1125899906842626, 1125899906842624) = 2, ceiling_div(18445618173802708990, 1125899906842624) = 16383
+ceiling_div(2251799813685248, 2251799813685248) = 1, ceiling_div(2251799813685250, 2251799813685248) = 2, ceiling_div(18444492273895866366, 2251799813685248) = 8191
+ceiling_div(4503599627370496, 4503599627370496) = 1, ceiling_div(4503599627370498, 4503599627370496) = 2, ceiling_div(18442240474082181118, 4503599627370496) = 4095
+ceiling_div(9007199254740992, 9007199254740992) = 1, ceiling_div(9007199254740994, 9007199254740992) = 2, ceiling_div(18437736874454810622, 9007199254740992) = 2047
+ceiling_div(18014398509481984, 18014398509481984) = 1, ceiling_div(18014398509481986, 18014398509481984) = 2, ceiling_div(18428729675200069630, 18014398509481984) = 1023
+ceiling_div(36028797018963968, 36028797018963968) = 1, ceiling_div(36028797018963970, 36028797018963968) = 2, ceiling_div(18410715276690587646, 36028797018963968) = 511
+ceiling_div(72057594037927936, 72057594037927936) = 1, ceiling_div(72057594037927938, 72057594037927936) = 2, ceiling_div(18374686479671623678, 72057594037927936) = 255
+ceiling_div(144115188075855872, 144115188075855872) = 1, ceiling_div(144115188075855874, 144115188075855872) = 2, ceiling_div(18302628885633695742, 144115188075855872) = 127
+ceiling_div(288230376151711744, 288230376151711744) = 1, ceiling_div(288230376151711746, 288230376151711744) = 2, ceiling_div(18158513697557839870, 288230376151711744) = 63
+ceiling_div(576460752303423488, 576460752303423488) = 1, ceiling_div(576460752303423490, 576460752303423488) = 2, ceiling_div(17870283321406128126, 576460752303423488) = 31
+ceiling_div(1152921504606846976, 1152921504606846976) = 1, ceiling_div(1152921504606846978, 1152921504606846976) = 2, ceiling_div(17293822569102704638, 1152921504606846976) = 15
+ceiling_div(2305843009213693952, 2305843009213693952) = 1, ceiling_div(2305843009213693954, 2305843009213693952) = 2, ceiling_div(16140901064495857662, 2305843009213693952) = 7
+ceiling_div(4611686018427387904, 4611686018427387904) = 1, ceiling_div(4611686018427387906, 4611686018427387904) = 2, ceiling_div(13835058055282163710, 4611686018427387904) = 3
+ceiling_div(9223372036854775808, 9223372036854775808) = 1, ceiling_div(9223372036854775810, 9223372036854775808) = 0, ceiling_div(9223372036854775806, 9223372036854775808) = 1
+
+long long int
+ceiling_div(1, 1) = 1, ceiling_div(3, 1) = 3, ceiling_div(-3, 1) = -3
+ceiling_div(2, 2) = 1, ceiling_div(4, 2) = 2, ceiling_div(-4, 2) = -1
+ceiling_div(4, 4) = 1, ceiling_div(6, 4) = 2, ceiling_div(-6, 4) = 0
+ceiling_div(8, 8) = 1, ceiling_div(10, 8) = 2, ceiling_div(-10, 8) = 0
+ceiling_div(16, 16) = 1, ceiling_div(18, 16) = 2, ceiling_div(-18, 16) = 0
+ceiling_div(32, 32) = 1, ceiling_div(34, 32) = 2, ceiling_div(-34, 32) = 0
+ceiling_div(64, 64) = 1, ceiling_div(66, 64) = 2, ceiling_div(-66, 64) = 0
+ceiling_div(128, 128) = 1, ceiling_div(130, 128) = 2, ceiling_div(-130, 128) = 0
+ceiling_div(256, 256) = 1, ceiling_div(258, 256) = 2, ceiling_div(-258, 256) = 0
+ceiling_div(512, 512) = 1, ceiling_div(514, 512) = 2, ceiling_div(-514, 512) = 0
+ceiling_div(1024, 1024) = 1, ceiling_div(1026, 1024) = 2, ceiling_div(-1026, 1024) = 0
+ceiling_div(2048, 2048) = 1, ceiling_div(2050, 2048) = 2, ceiling_div(-2050, 2048) = 0
+ceiling_div(4096, 4096) = 1, ceiling_div(4098, 4096) = 2, ceiling_div(-4098, 4096) = 0
+ceiling_div(8192, 8192) = 1, ceiling_div(8194, 8192) = 2, ceiling_div(-8194, 8192) = 0
+ceiling_div(16384, 16384) = 1, ceiling_div(16386, 16384) = 2, ceiling_div(-16386, 16384) = 0
+ceiling_div(32768, 32768) = 1, ceiling_div(32770, 32768) = 2, ceiling_div(-32770, 32768) = 0
+ceiling_div(65536, 65536) = 1, ceiling_div(65538, 65536) = 2, ceiling_div(-65538, 65536) = 0
+ceiling_div(131072, 131072) = 1, ceiling_div(131074, 131072) = 2, ceiling_div(-131074, 131072) = 0
+ceiling_div(262144, 262144) = 1, ceiling_div(262146, 262144) = 2, ceiling_div(-262146, 262144) = 0
+ceiling_div(524288, 524288) = 1, ceiling_div(524290, 524288) = 2, ceiling_div(-524290, 524288) = 0
+ceiling_div(1048576, 1048576) = 1, ceiling_div(1048578, 1048576) = 2, ceiling_div(-1048578, 1048576) = 0
+ceiling_div(2097152, 2097152) = 1, ceiling_div(2097154, 2097152) = 2, ceiling_div(-2097154, 2097152) = 0
+ceiling_div(4194304, 4194304) = 1, ceiling_div(4194306, 4194304) = 2, ceiling_div(-4194306, 4194304) = 0
+ceiling_div(8388608, 8388608) = 1, ceiling_div(8388610, 8388608) = 2, ceiling_div(-8388610, 8388608) = 0
+ceiling_div(16777216, 16777216) = 1, ceiling_div(16777218, 16777216) = 2, ceiling_div(-16777218, 16777216) = 0
+ceiling_div(33554432, 33554432) = 1, ceiling_div(33554434, 33554432) = 2, ceiling_div(-33554434, 33554432) = 0
+ceiling_div(67108864, 67108864) = 1, ceiling_div(67108866, 67108864) = 2, ceiling_div(-67108866, 67108864) = 0
+ceiling_div(134217728, 134217728) = 1, ceiling_div(134217730, 134217728) = 2, ceiling_div(-134217730, 134217728) = 0
+ceiling_div(268435456, 268435456) = 1, ceiling_div(268435458, 268435456) = 2, ceiling_div(-268435458, 268435456) = 0
+ceiling_div(536870912, 536870912) = 1, ceiling_div(536870914, 536870912) = 2, ceiling_div(-536870914, 536870912) = 0
+ceiling_div(1073741824, 1073741824) = 1, ceiling_div(1073741826, 1073741824) = 2, ceiling_div(-1073741826, 1073741824) = 0
+ceiling_div(2147483648, 2147483648) = 1, ceiling_div(2147483650, 2147483648) = 2, ceiling_div(-2147483650, 2147483648) = 0
+ceiling_div(4294967296, 4294967296) = 1, ceiling_div(4294967298, 4294967296) = 2, ceiling_div(-4294967298, 4294967296) = 0
+ceiling_div(8589934592, 8589934592) = 1, ceiling_div(8589934594, 8589934592) = 2, ceiling_div(-8589934594, 8589934592) = 0
+ceiling_div(17179869184, 17179869184) = 1, ceiling_div(17179869186, 17179869184) = 2, ceiling_div(-17179869186, 17179869184) = 0
+ceiling_div(34359738368, 34359738368) = 1, ceiling_div(34359738370, 34359738368) = 2, ceiling_div(-34359738370, 34359738368) = 0
+ceiling_div(68719476736, 68719476736) = 1, ceiling_div(68719476738, 68719476736) = 2, ceiling_div(-68719476738, 68719476736) = 0
+ceiling_div(137438953472, 137438953472) = 1, ceiling_div(137438953474, 137438953472) = 2, ceiling_div(-137438953474, 137438953472) = 0
+ceiling_div(274877906944, 274877906944) = 1, ceiling_div(274877906946, 274877906944) = 2, ceiling_div(-274877906946, 274877906944) = 0
+ceiling_div(549755813888, 549755813888) = 1, ceiling_div(549755813890, 549755813888) = 2, ceiling_div(-549755813890, 549755813888) = 0
+ceiling_div(1099511627776, 1099511627776) = 1, ceiling_div(1099511627778, 1099511627776) = 2, ceiling_div(-1099511627778, 1099511627776) = 0
+ceiling_div(2199023255552, 2199023255552) = 1, ceiling_div(2199023255554, 2199023255552) = 2, ceiling_div(-2199023255554, 2199023255552) = 0
+ceiling_div(4398046511104, 4398046511104) = 1, ceiling_div(4398046511106, 4398046511104) = 2, ceiling_div(-4398046511106, 4398046511104) = 0
+ceiling_div(8796093022208, 8796093022208) = 1, ceiling_div(8796093022210, 8796093022208) = 2, ceiling_div(-8796093022210, 8796093022208) = 0
+ceiling_div(17592186044416, 17592186044416) = 1, ceiling_div(17592186044418, 17592186044416) = 2, ceiling_div(-17592186044418, 17592186044416) = 0
+ceiling_div(35184372088832, 35184372088832) = 1, ceiling_div(35184372088834, 35184372088832) = 2, ceiling_div(-35184372088834, 35184372088832) = 0
+ceiling_div(70368744177664, 70368744177664) = 1, ceiling_div(70368744177666, 70368744177664) = 2, ceiling_div(-70368744177666, 70368744177664) = 0
+ceiling_div(140737488355328, 140737488355328) = 1, ceiling_div(140737488355330, 140737488355328) = 2, ceiling_div(-140737488355330, 140737488355328) = 0
+ceiling_div(281474976710656, 281474976710656) = 1, ceiling_div(281474976710658, 281474976710656) = 2, ceiling_div(-281474976710658, 281474976710656) = 0
+ceiling_div(562949953421312, 562949953421312) = 1, ceiling_div(562949953421314, 562949953421312) = 2, ceiling_div(-562949953421314, 562949953421312) = 0
+ceiling_div(1125899906842624, 1125899906842624) = 1, ceiling_div(1125899906842626, 1125899906842624) = 2, ceiling_div(-1125899906842626, 1125899906842624) = 0
+ceiling_div(2251799813685248, 2251799813685248) = 1, ceiling_div(2251799813685250, 2251799813685248) = 2, ceiling_div(-2251799813685250, 2251799813685248) = 0
+ceiling_div(4503599627370496, 4503599627370496) = 1, ceiling_div(4503599627370498, 4503599627370496) = 2, ceiling_div(-4503599627370498, 4503599627370496) = 0
+ceiling_div(9007199254740992, 9007199254740992) = 1, ceiling_div(9007199254740994, 9007199254740992) = 2, ceiling_div(-9007199254740994, 9007199254740992) = 0
+ceiling_div(18014398509481984, 18014398509481984) = 1, ceiling_div(18014398509481986, 18014398509481984) = 2, ceiling_div(-18014398509481986, 18014398509481984) = 0
+ceiling_div(36028797018963968, 36028797018963968) = 1, ceiling_div(36028797018963970, 36028797018963968) = 2, ceiling_div(-36028797018963970, 36028797018963968) = 0
+ceiling_div(72057594037927936, 72057594037927936) = 1, ceiling_div(72057594037927938, 72057594037927936) = 2, ceiling_div(-72057594037927938, 72057594037927936) = 0
+ceiling_div(144115188075855872, 144115188075855872) = 1, ceiling_div(144115188075855874, 144115188075855872) = 2, ceiling_div(-144115188075855874, 144115188075855872) = 0
+ceiling_div(288230376151711744, 288230376151711744) = 1, ceiling_div(288230376151711746, 288230376151711744) = 2, ceiling_div(-288230376151711746, 288230376151711744) = 0
+ceiling_div(576460752303423488, 576460752303423488) = 1, ceiling_div(576460752303423490, 576460752303423488) = 2, ceiling_div(-576460752303423490, 576460752303423488) = 0
+ceiling_div(1152921504606846976, 1152921504606846976) = 1, ceiling_div(1152921504606846978, 1152921504606846976) = 2, ceiling_div(-1152921504606846978, 1152921504606846976) = 0
+ceiling_div(2305843009213693952, 2305843009213693952) = 1, ceiling_div(2305843009213693954, 2305843009213693952) = 2, ceiling_div(-2305843009213693954, 2305843009213693952) = 0
+ceiling_div(4611686018427387904, 4611686018427387904) = 1, ceiling_div(4611686018427387906, 4611686018427387904) = -1, ceiling_div(-4611686018427387906, 4611686018427387904) = 0
+ceiling_div(-9223372036854775808, -9223372036854775808) = 0, ceiling_div(-9223372036854775806, -9223372036854775808) = 0, ceiling_div(9223372036854775806, -9223372036854775808) = 0
+
+unsigned long long int
+ceiling_div(1, 1) = 1, ceiling_div(3, 1) = 3, ceiling_div(18446744073709551613, 1) = 18446744073709551613
+ceiling_div(2, 2) = 1, ceiling_div(4, 2) = 2, ceiling_div(18446744073709551612, 2) = 9223372036854775806
+ceiling_div(4, 4) = 1, ceiling_div(6, 4) = 2, ceiling_div(18446744073709551610, 4) = 4611686018427387903
+ceiling_div(8, 8) = 1, ceiling_div(10, 8) = 2, ceiling_div(18446744073709551606, 8) = 2305843009213693951
+ceiling_div(16, 16) = 1, ceiling_div(18, 16) = 2, ceiling_div(18446744073709551598, 16) = 1152921504606846975
+ceiling_div(32, 32) = 1, ceiling_div(34, 32) = 2, ceiling_div(18446744073709551582, 32) = 576460752303423487
+ceiling_div(64, 64) = 1, ceiling_div(66, 64) = 2, ceiling_div(18446744073709551550, 64) = 288230376151711743
+ceiling_div(128, 128) = 1, ceiling_div(130, 128) = 2, ceiling_div(18446744073709551486, 128) = 144115188075855871
+ceiling_div(256, 256) = 1, ceiling_div(258, 256) = 2, ceiling_div(18446744073709551358, 256) = 72057594037927935
+ceiling_div(512, 512) = 1, ceiling_div(514, 512) = 2, ceiling_div(18446744073709551102, 512) = 36028797018963967
+ceiling_div(1024, 1024) = 1, ceiling_div(1026, 1024) = 2, ceiling_div(18446744073709550590, 1024) = 18014398509481983
+ceiling_div(2048, 2048) = 1, ceiling_div(2050, 2048) = 2, ceiling_div(18446744073709549566, 2048) = 9007199254740991
+ceiling_div(4096, 4096) = 1, ceiling_div(4098, 4096) = 2, ceiling_div(18446744073709547518, 4096) = 4503599627370495
+ceiling_div(8192, 8192) = 1, ceiling_div(8194, 8192) = 2, ceiling_div(18446744073709543422, 8192) = 2251799813685247
+ceiling_div(16384, 16384) = 1, ceiling_div(16386, 16384) = 2, ceiling_div(18446744073709535230, 16384) = 1125899906842623
+ceiling_div(32768, 32768) = 1, ceiling_div(32770, 32768) = 2, ceiling_div(18446744073709518846, 32768) = 562949953421311
+ceiling_div(65536, 65536) = 1, ceiling_div(65538, 65536) = 2, ceiling_div(18446744073709486078, 65536) = 281474976710655
+ceiling_div(131072, 131072) = 1, ceiling_div(131074, 131072) = 2, ceiling_div(18446744073709420542, 131072) = 140737488355327
+ceiling_div(262144, 262144) = 1, ceiling_div(262146, 262144) = 2, ceiling_div(18446744073709289470, 262144) = 70368744177663
+ceiling_div(524288, 524288) = 1, ceiling_div(524290, 524288) = 2, ceiling_div(18446744073709027326, 524288) = 35184372088831
+ceiling_div(1048576, 1048576) = 1, ceiling_div(1048578, 1048576) = 2, ceiling_div(18446744073708503038, 1048576) = 17592186044415
+ceiling_div(2097152, 2097152) = 1, ceiling_div(2097154, 2097152) = 2, ceiling_div(18446744073707454462, 2097152) = 8796093022207
+ceiling_div(4194304, 4194304) = 1, ceiling_div(4194306, 4194304) = 2, ceiling_div(18446744073705357310, 4194304) = 4398046511103
+ceiling_div(8388608, 8388608) = 1, ceiling_div(8388610, 8388608) = 2, ceiling_div(18446744073701163006, 8388608) = 2199023255551
+ceiling_div(16777216, 16777216) = 1, ceiling_div(16777218, 16777216) = 2, ceiling_div(18446744073692774398, 16777216) = 1099511627775
+ceiling_div(33554432, 33554432) = 1, ceiling_div(33554434, 33554432) = 2, ceiling_div(18446744073675997182, 33554432) = 549755813887
+ceiling_div(67108864, 67108864) = 1, ceiling_div(67108866, 67108864) = 2, ceiling_div(18446744073642442750, 67108864) = 274877906943
+ceiling_div(134217728, 134217728) = 1, ceiling_div(134217730, 134217728) = 2, ceiling_div(18446744073575333886, 134217728) = 137438953471
+ceiling_div(268435456, 268435456) = 1, ceiling_div(268435458, 268435456) = 2, ceiling_div(18446744073441116158, 268435456) = 68719476735
+ceiling_div(536870912, 536870912) = 1, ceiling_div(536870914, 536870912) = 2, ceiling_div(18446744073172680702, 536870912) = 34359738367
+ceiling_div(1073741824, 1073741824) = 1, ceiling_div(1073741826, 1073741824) = 2, ceiling_div(18446744072635809790, 1073741824) = 17179869183
+ceiling_div(2147483648, 2147483648) = 1, ceiling_div(2147483650, 2147483648) = 2, ceiling_div(18446744071562067966, 2147483648) = 8589934591
+ceiling_div(4294967296, 4294967296) = 1, ceiling_div(4294967298, 4294967296) = 2, ceiling_div(18446744069414584318, 4294967296) = 4294967295
+ceiling_div(8589934592, 8589934592) = 1, ceiling_div(8589934594, 8589934592) = 2, ceiling_div(18446744065119617022, 8589934592) = 2147483647
+ceiling_div(17179869184, 17179869184) = 1, ceiling_div(17179869186, 17179869184) = 2, ceiling_div(18446744056529682430, 17179869184) = 1073741823
+ceiling_div(34359738368, 34359738368) = 1, ceiling_div(34359738370, 34359738368) = 2, ceiling_div(18446744039349813246, 34359738368) = 536870911
+ceiling_div(68719476736, 68719476736) = 1, ceiling_div(68719476738, 68719476736) = 2, ceiling_div(18446744004990074878, 68719476736) = 268435455
+ceiling_div(137438953472, 137438953472) = 1, ceiling_div(137438953474, 137438953472) = 2, ceiling_div(18446743936270598142, 137438953472) = 134217727
+ceiling_div(274877906944, 274877906944) = 1, ceiling_div(274877906946, 274877906944) = 2, ceiling_div(18446743798831644670, 274877906944) = 67108863
+ceiling_div(549755813888, 549755813888) = 1, ceiling_div(549755813890, 549755813888) = 2, ceiling_div(18446743523953737726, 549755813888) = 33554431
+ceiling_div(1099511627776, 1099511627776) = 1, ceiling_div(1099511627778, 1099511627776) = 2, ceiling_div(18446742974197923838, 1099511627776) = 16777215
+ceiling_div(2199023255552, 2199023255552) = 1, ceiling_div(2199023255554, 2199023255552) = 2, ceiling_div(18446741874686296062, 2199023255552) = 8388607
+ceiling_div(4398046511104, 4398046511104) = 1, ceiling_div(4398046511106, 4398046511104) = 2, ceiling_div(18446739675663040510, 4398046511104) = 4194303
+ceiling_div(8796093022208, 8796093022208) = 1, ceiling_div(8796093022210, 8796093022208) = 2, ceiling_div(18446735277616529406, 8796093022208) = 2097151
+ceiling_div(17592186044416, 17592186044416) = 1, ceiling_div(17592186044418, 17592186044416) = 2, ceiling_div(18446726481523507198, 17592186044416) = 1048575
+ceiling_div(35184372088832, 35184372088832) = 1, ceiling_div(35184372088834, 35184372088832) = 2, ceiling_div(18446708889337462782, 35184372088832) = 524287
+ceiling_div(70368744177664, 70368744177664) = 1, ceiling_div(70368744177666, 70368744177664) = 2, ceiling_div(18446673704965373950, 70368744177664) = 262143
+ceiling_div(140737488355328, 140737488355328) = 1, ceiling_div(140737488355330, 140737488355328) = 2, ceiling_div(18446603336221196286, 140737488355328) = 131071
+ceiling_div(281474976710656, 281474976710656) = 1, ceiling_div(281474976710658, 281474976710656) = 2, ceiling_div(18446462598732840958, 281474976710656) = 65535
+ceiling_div(562949953421312, 562949953421312) = 1, ceiling_div(562949953421314, 562949953421312) = 2, ceiling_div(18446181123756130302, 562949953421312) = 32767
+ceiling_div(1125899906842624, 1125899906842624) = 1, ceiling_div(1125899906842626, 1125899906842624) = 2, ceiling_div(18445618173802708990, 1125899906842624) = 16383
+ceiling_div(2251799813685248, 2251799813685248) = 1, ceiling_div(2251799813685250, 2251799813685248) = 2, ceiling_div(18444492273895866366, 2251799813685248) = 8191
+ceiling_div(4503599627370496, 4503599627370496) = 1, ceiling_div(4503599627370498, 4503599627370496) = 2, ceiling_div(18442240474082181118, 4503599627370496) = 4095
+ceiling_div(9007199254740992, 9007199254740992) = 1, ceiling_div(9007199254740994, 9007199254740992) = 2, ceiling_div(18437736874454810622, 9007199254740992) = 2047
+ceiling_div(18014398509481984, 18014398509481984) = 1, ceiling_div(18014398509481986, 18014398509481984) = 2, ceiling_div(18428729675200069630, 18014398509481984) = 1023
+ceiling_div(36028797018963968, 36028797018963968) = 1, ceiling_div(36028797018963970, 36028797018963968) = 2, ceiling_div(18410715276690587646, 36028797018963968) = 511
+ceiling_div(72057594037927936, 72057594037927936) = 1, ceiling_div(72057594037927938, 72057594037927936) = 2, ceiling_div(18374686479671623678, 72057594037927936) = 255
+ceiling_div(144115188075855872, 144115188075855872) = 1, ceiling_div(144115188075855874, 144115188075855872) = 2, ceiling_div(18302628885633695742, 144115188075855872) = 127
+ceiling_div(288230376151711744, 288230376151711744) = 1, ceiling_div(288230376151711746, 288230376151711744) = 2, ceiling_div(18158513697557839870, 288230376151711744) = 63
+ceiling_div(576460752303423488, 576460752303423488) = 1, ceiling_div(576460752303423490, 576460752303423488) = 2, ceiling_div(17870283321406128126, 576460752303423488) = 31
+ceiling_div(1152921504606846976, 1152921504606846976) = 1, ceiling_div(1152921504606846978, 1152921504606846976) = 2, ceiling_div(17293822569102704638, 1152921504606846976) = 15
+ceiling_div(2305843009213693952, 2305843009213693952) = 1, ceiling_div(2305843009213693954, 2305843009213693952) = 2, ceiling_div(16140901064495857662, 2305843009213693952) = 7
+ceiling_div(4611686018427387904, 4611686018427387904) = 1, ceiling_div(4611686018427387906, 4611686018427387904) = 2, ceiling_div(13835058055282163710, 4611686018427387904) = 3
+ceiling_div(9223372036854775808, 9223372036854775808) = 1, ceiling_div(9223372036854775810, 9223372036854775808) = 0, ceiling_div(9223372036854775806, 9223372036854775808) = 1
+
+
 ceiling
 
 signed char
 ceiling(1, 1) = 1, ceiling(3, 1) = 3, ceiling(-3, 1) = -3
-ceiling(2, 2) = 1, ceiling(4, 2) = 2, ceiling(-4, 2) = -1
-ceiling(4, 4) = 1, ceiling(6, 4) = 2, ceiling(-6, 4) = 0
-ceiling(8, 8) = 1, ceiling(10, 8) = 2, ceiling(-10, 8) = 0
-ceiling(16, 16) = 1, ceiling(18, 16) = 2, ceiling(-18, 16) = 0
-ceiling(32, 32) = 1, ceiling(34, 32) = 2, ceiling(-34, 32) = 0
-ceiling(64, 64) = 1, ceiling(66, 64) = 2, ceiling(-66, 64) = 0
-ceiling(-128, -128) = 2, ceiling(-126, -128) = 1, ceiling(126, -128) = 0
+ceiling(2, 2) = 2, ceiling(4, 2) = 4, ceiling(-4, 2) = -4
+ceiling(4, 4) = 4, ceiling(6, 4) = 8, ceiling(-6, 4) = 0
+ceiling(8, 8) = 8, ceiling(10, 8) = 16, ceiling(-10, 8) = 0
+ceiling(16, 16) = 16, ceiling(18, 16) = 32, ceiling(-18, 16) = 0
+ceiling(32, 32) = 32, ceiling(34, 32) = 64, ceiling(-34, 32) = 0
+ceiling(64, 64) = 64, ceiling(66, 64) = -128, ceiling(-66, 64) = 0
+ceiling(-128, -128) = -128, ceiling(-126, -128) = -128, ceiling(126, -128) = 0
 
 unsigned char
 ceiling(1, 1) = 1, ceiling(3, 1) = 3, ceiling(253, 1) = 253
-ceiling(2, 2) = 1, ceiling(4, 2) = 2, ceiling(252, 2) = 126
-ceiling(4, 4) = 1, ceiling(6, 4) = 2, ceiling(250, 4) = 63
-ceiling(8, 8) = 1, ceiling(10, 8) = 2, ceiling(246, 8) = 31
-ceiling(16, 16) = 1, ceiling(18, 16) = 2, ceiling(238, 16) = 15
-ceiling(32, 32) = 1, ceiling(34, 32) = 2, ceiling(222, 32) = 7
-ceiling(64, 64) = 1, ceiling(66, 64) = 2, ceiling(190, 64) = 3
-ceiling(128, 128) = 1, ceiling(130, 128) = 2, ceiling(126, 128) = 1
+ceiling(2, 2) = 2, ceiling(4, 2) = 4, ceiling(252, 2) = 252
+ceiling(4, 4) = 4, ceiling(6, 4) = 8, ceiling(250, 4) = 252
+ceiling(8, 8) = 8, ceiling(10, 8) = 16, ceiling(246, 8) = 248
+ceiling(16, 16) = 16, ceiling(18, 16) = 32, ceiling(238, 16) = 240
+ceiling(32, 32) = 32, ceiling(34, 32) = 64, ceiling(222, 32) = 224
+ceiling(64, 64) = 64, ceiling(66, 64) = 128, ceiling(190, 64) = 192
+ceiling(128, 128) = 128, ceiling(130, 128) = 0, ceiling(126, 128) = 128
 
 short int
 ceiling(1, 1) = 1, ceiling(3, 1) = 3, ceiling(-3, 1) = -3
-ceiling(2, 2) = 1, ceiling(4, 2) = 2, ceiling(-4, 2) = -1
-ceiling(4, 4) = 1, ceiling(6, 4) = 2, ceiling(-6, 4) = 0
-ceiling(8, 8) = 1, ceiling(10, 8) = 2, ceiling(-10, 8) = 0
-ceiling(16, 16) = 1, ceiling(18, 16) = 2, ceiling(-18, 16) = 0
-ceiling(32, 32) = 1, ceiling(34, 32) = 2, ceiling(-34, 32) = 0
-ceiling(64, 64) = 1, ceiling(66, 64) = 2, ceiling(-66, 64) = 0
-ceiling(128, 128) = 1, ceiling(130, 128) = 2, ceiling(-130, 128) = 0
-ceiling(256, 256) = 1, ceiling(258, 256) = 2, ceiling(-258, 256) = 0
-ceiling(512, 512) = 1, ceiling(514, 512) = 2, ceiling(-514, 512) = 0
-ceiling(1024, 1024) = 1, ceiling(1026, 1024) = 2, ceiling(-1026, 1024) = 0
-ceiling(2048, 2048) = 1, ceiling(2050, 2048) = 2, ceiling(-2050, 2048) = 0
-ceiling(4096, 4096) = 1, ceiling(4098, 4096) = 2, ceiling(-4098, 4096) = 0
-ceiling(8192, 8192) = 1, ceiling(8194, 8192) = 2, ceiling(-8194, 8192) = 0
-ceiling(16384, 16384) = 1, ceiling(16386, 16384) = 2, ceiling(-16386, 16384) = 0
-ceiling(-32768, -32768) = 2, ceiling(-32766, -32768) = 1, ceiling(32766, -32768) = 0
+ceiling(2, 2) = 2, ceiling(4, 2) = 4, ceiling(-4, 2) = -4
+ceiling(4, 4) = 4, ceiling(6, 4) = 8, ceiling(-6, 4) = 0
+ceiling(8, 8) = 8, ceiling(10, 8) = 16, ceiling(-10, 8) = 0
+ceiling(16, 16) = 16, ceiling(18, 16) = 32, ceiling(-18, 16) = 0
+ceiling(32, 32) = 32, ceiling(34, 32) = 64, ceiling(-34, 32) = 0
+ceiling(64, 64) = 64, ceiling(66, 64) = 128, ceiling(-66, 64) = 0
+ceiling(128, 128) = 128, ceiling(130, 128) = 256, ceiling(-130, 128) = 0
+ceiling(256, 256) = 256, ceiling(258, 256) = 512, ceiling(-258, 256) = 0
+ceiling(512, 512) = 512, ceiling(514, 512) = 1024, ceiling(-514, 512) = 0
+ceiling(1024, 1024) = 1024, ceiling(1026, 1024) = 2048, ceiling(-1026, 1024) = 0
+ceiling(2048, 2048) = 2048, ceiling(2050, 2048) = 4096, ceiling(-2050, 2048) = 0
+ceiling(4096, 4096) = 4096, ceiling(4098, 4096) = 8192, ceiling(-4098, 4096) = 0
+ceiling(8192, 8192) = 8192, ceiling(8194, 8192) = 16384, ceiling(-8194, 8192) = 0
+ceiling(16384, 16384) = 16384, ceiling(16386, 16384) = -32768, ceiling(-16386, 16384) = 0
+ceiling(-32768, -32768) = -32768, ceiling(-32766, -32768) = -32768, ceiling(32766, -32768) = 0
 
 unsigned short int
 ceiling(1, 1) = 1, ceiling(3, 1) = 3, ceiling(65533, 1) = 65533
-ceiling(2, 2) = 1, ceiling(4, 2) = 2, ceiling(65532, 2) = 32766
-ceiling(4, 4) = 1, ceiling(6, 4) = 2, ceiling(65530, 4) = 16383
-ceiling(8, 8) = 1, ceiling(10, 8) = 2, ceiling(65526, 8) = 8191
-ceiling(16, 16) = 1, ceiling(18, 16) = 2, ceiling(65518, 16) = 4095
-ceiling(32, 32) = 1, ceiling(34, 32) = 2, ceiling(65502, 32) = 2047
-ceiling(64, 64) = 1, ceiling(66, 64) = 2, ceiling(65470, 64) = 1023
-ceiling(128, 128) = 1, ceiling(130, 128) = 2, ceiling(65406, 128) = 511
-ceiling(256, 256) = 1, ceiling(258, 256) = 2, ceiling(65278, 256) = 255
-ceiling(512, 512) = 1, ceiling(514, 512) = 2, ceiling(65022, 512) = 127
-ceiling(1024, 1024) = 1, ceiling(1026, 1024) = 2, ceiling(64510, 1024) = 63
-ceiling(2048, 2048) = 1, ceiling(2050, 2048) = 2, ceiling(63486, 2048) = 31
-ceiling(4096, 4096) = 1, ceiling(4098, 4096) = 2, ceiling(61438, 4096) = 15
-ceiling(8192, 8192) = 1, ceiling(8194, 8192) = 2, ceiling(57342, 8192) = 7
-ceiling(16384, 16384) = 1, ceiling(16386, 16384) = 2, ceiling(49150, 16384) = 3
-ceiling(32768, 32768) = 1, ceiling(32770, 32768) = 2, ceiling(32766, 32768) = 1
+ceiling(2, 2) = 2, ceiling(4, 2) = 4, ceiling(65532, 2) = 65532
+ceiling(4, 4) = 4, ceiling(6, 4) = 8, ceiling(65530, 4) = 65532
+ceiling(8, 8) = 8, ceiling(10, 8) = 16, ceiling(65526, 8) = 65528
+ceiling(16, 16) = 16, ceiling(18, 16) = 32, ceiling(65518, 16) = 65520
+ceiling(32, 32) = 32, ceiling(34, 32) = 64, ceiling(65502, 32) = 65504
+ceiling(64, 64) = 64, ceiling(66, 64) = 128, ceiling(65470, 64) = 65472
+ceiling(128, 128) = 128, ceiling(130, 128) = 256, ceiling(65406, 128) = 65408
+ceiling(256, 256) = 256, ceiling(258, 256) = 512, ceiling(65278, 256) = 65280
+ceiling(512, 512) = 512, ceiling(514, 512) = 1024, ceiling(65022, 512) = 65024
+ceiling(1024, 1024) = 1024, ceiling(1026, 1024) = 2048, ceiling(64510, 1024) = 64512
+ceiling(2048, 2048) = 2048, ceiling(2050, 2048) = 4096, ceiling(63486, 2048) = 63488
+ceiling(4096, 4096) = 4096, ceiling(4098, 4096) = 8192, ceiling(61438, 4096) = 61440
+ceiling(8192, 8192) = 8192, ceiling(8194, 8192) = 16384, ceiling(57342, 8192) = 57344
+ceiling(16384, 16384) = 16384, ceiling(16386, 16384) = 32768, ceiling(49150, 16384) = 49152
+ceiling(32768, 32768) = 32768, ceiling(32770, 32768) = 0, ceiling(32766, 32768) = 32768
 
 int
 ceiling(1, 1) = 1, ceiling(3, 1) = 3, ceiling(-3, 1) = -3
-ceiling(2, 2) = 1, ceiling(4, 2) = 2, ceiling(-4, 2) = -1
-ceiling(4, 4) = 1, ceiling(6, 4) = 2, ceiling(-6, 4) = 0
-ceiling(8, 8) = 1, ceiling(10, 8) = 2, ceiling(-10, 8) = 0
-ceiling(16, 16) = 1, ceiling(18, 16) = 2, ceiling(-18, 16) = 0
-ceiling(32, 32) = 1, ceiling(34, 32) = 2, ceiling(-34, 32) = 0
-ceiling(64, 64) = 1, ceiling(66, 64) = 2, ceiling(-66, 64) = 0
-ceiling(128, 128) = 1, ceiling(130, 128) = 2, ceiling(-130, 128) = 0
-ceiling(256, 256) = 1, ceiling(258, 256) = 2, ceiling(-258, 256) = 0
-ceiling(512, 512) = 1, ceiling(514, 512) = 2, ceiling(-514, 512) = 0
-ceiling(1024, 1024) = 1, ceiling(1026, 1024) = 2, ceiling(-1026, 1024) = 0
-ceiling(2048, 2048) = 1, ceiling(2050, 2048) = 2, ceiling(-2050, 2048) = 0
-ceiling(4096, 4096) = 1, ceiling(4098, 4096) = 2, ceiling(-4098, 4096) = 0
-ceiling(8192, 8192) = 1, ceiling(8194, 8192) = 2, ceiling(-8194, 8192) = 0
-ceiling(16384, 16384) = 1, ceiling(16386, 16384) = 2, ceiling(-16386, 16384) = 0
-ceiling(32768, 32768) = 1, ceiling(32770, 32768) = 2, ceiling(-32770, 32768) = 0
-ceiling(65536, 65536) = 1, ceiling(65538, 65536) = 2, ceiling(-65538, 65536) = 0
-ceiling(131072, 131072) = 1, ceiling(131074, 131072) = 2, ceiling(-131074, 131072) = 0
-ceiling(262144, 262144) = 1, ceiling(262146, 262144) = 2, ceiling(-262146, 262144) = 0
-ceiling(524288, 524288) = 1, ceiling(524290, 524288) = 2, ceiling(-524290, 524288) = 0
-ceiling(1048576, 1048576) = 1, ceiling(1048578, 1048576) = 2, ceiling(-1048578, 1048576) = 0
-ceiling(2097152, 2097152) = 1, ceiling(2097154, 2097152) = 2, ceiling(-2097154, 2097152) = 0
-ceiling(4194304, 4194304) = 1, ceiling(4194306, 4194304) = 2, ceiling(-4194306, 4194304) = 0
-ceiling(8388608, 8388608) = 1, ceiling(8388610, 8388608) = 2, ceiling(-8388610, 8388608) = 0
-ceiling(16777216, 16777216) = 1, ceiling(16777218, 16777216) = 2, ceiling(-16777218, 16777216) = 0
-ceiling(33554432, 33554432) = 1, ceiling(33554434, 33554432) = 2, ceiling(-33554434, 33554432) = 0
-ceiling(67108864, 67108864) = 1, ceiling(67108866, 67108864) = 2, ceiling(-67108866, 67108864) = 0
-ceiling(134217728, 134217728) = 1, ceiling(134217730, 134217728) = 2, ceiling(-134217730, 134217728) = 0
-ceiling(268435456, 268435456) = 1, ceiling(268435458, 268435456) = 2, ceiling(-268435458, 268435456) = 0
-ceiling(536870912, 536870912) = 1, ceiling(536870914, 536870912) = 2, ceiling(-536870914, 536870912) = 0
-ceiling(1073741824, 1073741824) = 1, ceiling(1073741826, 1073741824) = -1, ceiling(-1073741826, 1073741824) = 0
-ceiling(-2147483648, -2147483648) = 0, ceiling(-2147483646, -2147483648) = 0, ceiling(2147483646, -2147483648) = 0
+ceiling(2, 2) = 2, ceiling(4, 2) = 4, ceiling(-4, 2) = -4
+ceiling(4, 4) = 4, ceiling(6, 4) = 8, ceiling(-6, 4) = 0
+ceiling(8, 8) = 8, ceiling(10, 8) = 16, ceiling(-10, 8) = 0
+ceiling(16, 16) = 16, ceiling(18, 16) = 32, ceiling(-18, 16) = 0
+ceiling(32, 32) = 32, ceiling(34, 32) = 64, ceiling(-34, 32) = 0
+ceiling(64, 64) = 64, ceiling(66, 64) = 128, ceiling(-66, 64) = 0
+ceiling(128, 128) = 128, ceiling(130, 128) = 256, ceiling(-130, 128) = 0
+ceiling(256, 256) = 256, ceiling(258, 256) = 512, ceiling(-258, 256) = 0
+ceiling(512, 512) = 512, ceiling(514, 512) = 1024, ceiling(-514, 512) = 0
+ceiling(1024, 1024) = 1024, ceiling(1026, 1024) = 2048, ceiling(-1026, 1024) = 0
+ceiling(2048, 2048) = 2048, ceiling(2050, 2048) = 4096, ceiling(-2050, 2048) = 0
+ceiling(4096, 4096) = 4096, ceiling(4098, 4096) = 8192, ceiling(-4098, 4096) = 0
+ceiling(8192, 8192) = 8192, ceiling(8194, 8192) = 16384, ceiling(-8194, 8192) = 0
+ceiling(16384, 16384) = 16384, ceiling(16386, 16384) = 32768, ceiling(-16386, 16384) = 0
+ceiling(32768, 32768) = 32768, ceiling(32770, 32768) = 65536, ceiling(-32770, 32768) = 0
+ceiling(65536, 65536) = 65536, ceiling(65538, 65536) = 131072, ceiling(-65538, 65536) = 0
+ceiling(131072, 131072) = 131072, ceiling(131074, 131072) = 262144, ceiling(-131074, 131072) = 0
+ceiling(262144, 262144) = 262144, ceiling(262146, 262144) = 524288, ceiling(-262146, 262144) = 0
+ceiling(524288, 524288) = 524288, ceiling(524290, 524288) = 1048576, ceiling(-524290, 524288) = 0
+ceiling(1048576, 1048576) = 1048576, ceiling(1048578, 1048576) = 2097152, ceiling(-1048578, 1048576) = 0
+ceiling(2097152, 2097152) = 2097152, ceiling(2097154, 2097152) = 4194304, ceiling(-2097154, 2097152) = 0
+ceiling(4194304, 4194304) = 4194304, ceiling(4194306, 4194304) = 8388608, ceiling(-4194306, 4194304) = 0
+ceiling(8388608, 8388608) = 8388608, ceiling(8388610, 8388608) = 16777216, ceiling(-8388610, 8388608) = 0
+ceiling(16777216, 16777216) = 16777216, ceiling(16777218, 16777216) = 33554432, ceiling(-16777218, 16777216) = 0
+ceiling(33554432, 33554432) = 33554432, ceiling(33554434, 33554432) = 67108864, ceiling(-33554434, 33554432) = 0
+ceiling(67108864, 67108864) = 67108864, ceiling(67108866, 67108864) = 134217728, ceiling(-67108866, 67108864) = 0
+ceiling(134217728, 134217728) = 134217728, ceiling(134217730, 134217728) = 268435456, ceiling(-134217730, 134217728) = 0
+ceiling(268435456, 268435456) = 268435456, ceiling(268435458, 268435456) = 536870912, ceiling(-268435458, 268435456) = 0
+ceiling(536870912, 536870912) = 536870912, ceiling(536870914, 536870912) = 1073741824, ceiling(-536870914, 536870912) = 0
+ceiling(1073741824, 1073741824) = 1073741824, ceiling(1073741826, 1073741824) = -1073741824, ceiling(-1073741826, 1073741824) = 0
+ceiling(-2147483648, -2147483648) = -2147483648, ceiling(-2147483646, -2147483648) = 0, ceiling(2147483646, -2147483648) = 0
 
 unsigned int
 ceiling(1, 1) = 1, ceiling(3, 1) = 3, ceiling(4294967293, 1) = 4294967293
-ceiling(2, 2) = 1, ceiling(4, 2) = 2, ceiling(4294967292, 2) = 2147483646
-ceiling(4, 4) = 1, ceiling(6, 4) = 2, ceiling(4294967290, 4) = 1073741823
-ceiling(8, 8) = 1, ceiling(10, 8) = 2, ceiling(4294967286, 8) = 536870911
-ceiling(16, 16) = 1, ceiling(18, 16) = 2, ceiling(4294967278, 16) = 268435455
-ceiling(32, 32) = 1, ceiling(34, 32) = 2, ceiling(4294967262, 32) = 134217727
-ceiling(64, 64) = 1, ceiling(66, 64) = 2, ceiling(4294967230, 64) = 67108863
-ceiling(128, 128) = 1, ceiling(130, 128) = 2, ceiling(4294967166, 128) = 33554431
-ceiling(256, 256) = 1, ceiling(258, 256) = 2, ceiling(4294967038, 256) = 16777215
-ceiling(512, 512) = 1, ceiling(514, 512) = 2, ceiling(4294966782, 512) = 8388607
-ceiling(1024, 1024) = 1, ceiling(1026, 1024) = 2, ceiling(4294966270, 1024) = 4194303
-ceiling(2048, 2048) = 1, ceiling(2050, 2048) = 2, ceiling(4294965246, 2048) = 2097151
-ceiling(4096, 4096) = 1, ceiling(4098, 4096) = 2, ceiling(4294963198, 4096) = 1048575
-ceiling(8192, 8192) = 1, ceiling(8194, 8192) = 2, ceiling(4294959102, 8192) = 524287
-ceiling(16384, 16384) = 1, ceiling(16386, 16384) = 2, ceiling(4294950910, 16384) = 262143
-ceiling(32768, 32768) = 1, ceiling(32770, 32768) = 2, ceiling(4294934526, 32768) = 131071
-ceiling(65536, 65536) = 1, ceiling(65538, 65536) = 2, ceiling(4294901758, 65536) = 65535
-ceiling(131072, 131072) = 1, ceiling(131074, 131072) = 2, ceiling(4294836222, 131072) = 32767
-ceiling(262144, 262144) = 1, ceiling(262146, 262144) = 2, ceiling(4294705150, 262144) = 16383
-ceiling(524288, 524288) = 1, ceiling(524290, 524288) = 2, ceiling(4294443006, 524288) = 8191
-ceiling(1048576, 1048576) = 1, ceiling(1048578, 1048576) = 2, ceiling(4293918718, 1048576) = 4095
-ceiling(2097152, 2097152) = 1, ceiling(2097154, 2097152) = 2, ceiling(4292870142, 2097152) = 2047
-ceiling(4194304, 4194304) = 1, ceiling(4194306, 4194304) = 2, ceiling(4290772990, 4194304) = 1023
-ceiling(8388608, 8388608) = 1, ceiling(8388610, 8388608) = 2, ceiling(4286578686, 8388608) = 511
-ceiling(16777216, 16777216) = 1, ceiling(16777218, 16777216) = 2, ceiling(4278190078, 16777216) = 255
-ceiling(33554432, 33554432) = 1, ceiling(33554434, 33554432) = 2, ceiling(4261412862, 33554432) = 127
-ceiling(67108864, 67108864) = 1, ceiling(67108866, 67108864) = 2, ceiling(4227858430, 67108864) = 63
-ceiling(134217728, 134217728) = 1, ceiling(134217730, 134217728) = 2, ceiling(4160749566, 134217728) = 31
-ceiling(268435456, 268435456) = 1, ceiling(268435458, 268435456) = 2, ceiling(4026531838, 268435456) = 15
-ceiling(536870912, 536870912) = 1, ceiling(536870914, 536870912) = 2, ceiling(3758096382, 536870912) = 7
-ceiling(1073741824, 1073741824) = 1, ceiling(1073741826, 1073741824) = 2, ceiling(3221225470, 1073741824) = 3
-ceiling(2147483648, 2147483648) = 1, ceiling(2147483650, 2147483648) = 0, ceiling(2147483646, 2147483648) = 1
+ceiling(2, 2) = 2, ceiling(4, 2) = 4, ceiling(4294967292, 2) = 4294967292
+ceiling(4, 4) = 4, ceiling(6, 4) = 8, ceiling(4294967290, 4) = 4294967292
+ceiling(8, 8) = 8, ceiling(10, 8) = 16, ceiling(4294967286, 8) = 4294967288
+ceiling(16, 16) = 16, ceiling(18, 16) = 32, ceiling(4294967278, 16) = 4294967280
+ceiling(32, 32) = 32, ceiling(34, 32) = 64, ceiling(4294967262, 32) = 4294967264
+ceiling(64, 64) = 64, ceiling(66, 64) = 128, ceiling(4294967230, 64) = 4294967232
+ceiling(128, 128) = 128, ceiling(130, 128) = 256, ceiling(4294967166, 128) = 4294967168
+ceiling(256, 256) = 256, ceiling(258, 256) = 512, ceiling(4294967038, 256) = 4294967040
+ceiling(512, 512) = 512, ceiling(514, 512) = 1024, ceiling(4294966782, 512) = 4294966784
+ceiling(1024, 1024) = 1024, ceiling(1026, 1024) = 2048, ceiling(4294966270, 1024) = 4294966272
+ceiling(2048, 2048) = 2048, ceiling(2050, 2048) = 4096, ceiling(4294965246, 2048) = 4294965248
+ceiling(4096, 4096) = 4096, ceiling(4098, 4096) = 8192, ceiling(4294963198, 4096) = 4294963200
+ceiling(8192, 8192) = 8192, ceiling(8194, 8192) = 16384, ceiling(4294959102, 8192) = 4294959104
+ceiling(16384, 16384) = 16384, ceiling(16386, 16384) = 32768, ceiling(4294950910, 16384) = 4294950912
+ceiling(32768, 32768) = 32768, ceiling(32770, 32768) = 65536, ceiling(4294934526, 32768) = 4294934528
+ceiling(65536, 65536) = 65536, ceiling(65538, 65536) = 131072, ceiling(4294901758, 65536) = 4294901760
+ceiling(131072, 131072) = 131072, ceiling(131074, 131072) = 262144, ceiling(4294836222, 131072) = 4294836224
+ceiling(262144, 262144) = 262144, ceiling(262146, 262144) = 524288, ceiling(4294705150, 262144) = 4294705152
+ceiling(524288, 524288) = 524288, ceiling(524290, 524288) = 1048576, ceiling(4294443006, 524288) = 4294443008
+ceiling(1048576, 1048576) = 1048576, ceiling(1048578, 1048576) = 2097152, ceiling(4293918718, 1048576) = 4293918720
+ceiling(2097152, 2097152) = 2097152, ceiling(2097154, 2097152) = 4194304, ceiling(4292870142, 2097152) = 4292870144
+ceiling(4194304, 4194304) = 4194304, ceiling(4194306, 4194304) = 8388608, ceiling(4290772990, 4194304) = 4290772992
+ceiling(8388608, 8388608) = 8388608, ceiling(8388610, 8388608) = 16777216, ceiling(4286578686, 8388608) = 4286578688
+ceiling(16777216, 16777216) = 16777216, ceiling(16777218, 16777216) = 33554432, ceiling(4278190078, 16777216) = 4278190080
+ceiling(33554432, 33554432) = 33554432, ceiling(33554434, 33554432) = 67108864, ceiling(4261412862, 33554432) = 4261412864
+ceiling(67108864, 67108864) = 67108864, ceiling(67108866, 67108864) = 134217728, ceiling(4227858430, 67108864) = 4227858432
+ceiling(134217728, 134217728) = 134217728, ceiling(134217730, 134217728) = 268435456, ceiling(4160749566, 134217728) = 4160749568
+ceiling(268435456, 268435456) = 268435456, ceiling(268435458, 268435456) = 536870912, ceiling(4026531838, 268435456) = 4026531840
+ceiling(536870912, 536870912) = 536870912, ceiling(536870914, 536870912) = 1073741824, ceiling(3758096382, 536870912) = 3758096384
+ceiling(1073741824, 1073741824) = 1073741824, ceiling(1073741826, 1073741824) = 2147483648, ceiling(3221225470, 1073741824) = 3221225472
+ceiling(2147483648, 2147483648) = 2147483648, ceiling(2147483650, 2147483648) = 0, ceiling(2147483646, 2147483648) = 2147483648
 
 long int
 ceiling(1, 1) = 1, ceiling(3, 1) = 3, ceiling(-3, 1) = -3
-ceiling(2, 2) = 1, ceiling(4, 2) = 2, ceiling(-4, 2) = -1
-ceiling(4, 4) = 1, ceiling(6, 4) = 2, ceiling(-6, 4) = 0
-ceiling(8, 8) = 1, ceiling(10, 8) = 2, ceiling(-10, 8) = 0
-ceiling(16, 16) = 1, ceiling(18, 16) = 2, ceiling(-18, 16) = 0
-ceiling(32, 32) = 1, ceiling(34, 32) = 2, ceiling(-34, 32) = 0
-ceiling(64, 64) = 1, ceiling(66, 64) = 2, ceiling(-66, 64) = 0
-ceiling(128, 128) = 1, ceiling(130, 128) = 2, ceiling(-130, 128) = 0
-ceiling(256, 256) = 1, ceiling(258, 256) = 2, ceiling(-258, 256) = 0
-ceiling(512, 512) = 1, ceiling(514, 512) = 2, ceiling(-514, 512) = 0
-ceiling(1024, 1024) = 1, ceiling(1026, 1024) = 2, ceiling(-1026, 1024) = 0
-ceiling(2048, 2048) = 1, ceiling(2050, 2048) = 2, ceiling(-2050, 2048) = 0
-ceiling(4096, 4096) = 1, ceiling(4098, 4096) = 2, ceiling(-4098, 4096) = 0
-ceiling(8192, 8192) = 1, ceiling(8194, 8192) = 2, ceiling(-8194, 8192) = 0
-ceiling(16384, 16384) = 1, ceiling(16386, 16384) = 2, ceiling(-16386, 16384) = 0
-ceiling(32768, 32768) = 1, ceiling(32770, 32768) = 2, ceiling(-32770, 32768) = 0
-ceiling(65536, 65536) = 1, ceiling(65538, 65536) = 2, ceiling(-65538, 65536) = 0
-ceiling(131072, 131072) = 1, ceiling(131074, 131072) = 2, ceiling(-131074, 131072) = 0
-ceiling(262144, 262144) = 1, ceiling(262146, 262144) = 2, ceiling(-262146, 262144) = 0
-ceiling(524288, 524288) = 1, ceiling(524290, 524288) = 2, ceiling(-524290, 524288) = 0
-ceiling(1048576, 1048576) = 1, ceiling(1048578, 1048576) = 2, ceiling(-1048578, 1048576) = 0
-ceiling(2097152, 2097152) = 1, ceiling(2097154, 2097152) = 2, ceiling(-2097154, 2097152) = 0
-ceiling(4194304, 4194304) = 1, ceiling(4194306, 4194304) = 2, ceiling(-4194306, 4194304) = 0
-ceiling(8388608, 8388608) = 1, ceiling(8388610, 8388608) = 2, ceiling(-8388610, 8388608) = 0
-ceiling(16777216, 16777216) = 1, ceiling(16777218, 16777216) = 2, ceiling(-16777218, 16777216) = 0
-ceiling(33554432, 33554432) = 1, ceiling(33554434, 33554432) = 2, ceiling(-33554434, 33554432) = 0
-ceiling(67108864, 67108864) = 1, ceiling(67108866, 67108864) = 2, ceiling(-67108866, 67108864) = 0
-ceiling(134217728, 134217728) = 1, ceiling(134217730, 134217728) = 2, ceiling(-134217730, 134217728) = 0
-ceiling(268435456, 268435456) = 1, ceiling(268435458, 268435456) = 2, ceiling(-268435458, 268435456) = 0
-ceiling(536870912, 536870912) = 1, ceiling(536870914, 536870912) = 2, ceiling(-536870914, 536870912) = 0
-ceiling(1073741824, 1073741824) = 1, ceiling(1073741826, 1073741824) = 2, ceiling(-1073741826, 1073741824) = 0
-ceiling(2147483648, 2147483648) = 1, ceiling(2147483650, 2147483648) = 2, ceiling(-2147483650, 2147483648) = 0
-ceiling(4294967296, 4294967296) = 1, ceiling(4294967298, 4294967296) = 2, ceiling(-4294967298, 4294967296) = 0
-ceiling(8589934592, 8589934592) = 1, ceiling(8589934594, 8589934592) = 2, ceiling(-8589934594, 8589934592) = 0
-ceiling(17179869184, 17179869184) = 1, ceiling(17179869186, 17179869184) = 2, ceiling(-17179869186, 17179869184) = 0
-ceiling(34359738368, 34359738368) = 1, ceiling(34359738370, 34359738368) = 2, ceiling(-34359738370, 34359738368) = 0
-ceiling(68719476736, 68719476736) = 1, ceiling(68719476738, 68719476736) = 2, ceiling(-68719476738, 68719476736) = 0
-ceiling(137438953472, 137438953472) = 1, ceiling(137438953474, 137438953472) = 2, ceiling(-137438953474, 137438953472) = 0
-ceiling(274877906944, 274877906944) = 1, ceiling(274877906946, 274877906944) = 2, ceiling(-274877906946, 274877906944) = 0
-ceiling(549755813888, 549755813888) = 1, ceiling(549755813890, 549755813888) = 2, ceiling(-549755813890, 549755813888) = 0
-ceiling(1099511627776, 1099511627776) = 1, ceiling(1099511627778, 1099511627776) = 2, ceiling(-1099511627778, 1099511627776) = 0
-ceiling(2199023255552, 2199023255552) = 1, ceiling(2199023255554, 2199023255552) = 2, ceiling(-2199023255554, 2199023255552) = 0
-ceiling(4398046511104, 4398046511104) = 1, ceiling(4398046511106, 4398046511104) = 2, ceiling(-4398046511106, 4398046511104) = 0
-ceiling(8796093022208, 8796093022208) = 1, ceiling(8796093022210, 8796093022208) = 2, ceiling(-8796093022210, 8796093022208) = 0
-ceiling(17592186044416, 17592186044416) = 1, ceiling(17592186044418, 17592186044416) = 2, ceiling(-17592186044418, 17592186044416) = 0
-ceiling(35184372088832, 35184372088832) = 1, ceiling(35184372088834, 35184372088832) = 2, ceiling(-35184372088834, 35184372088832) = 0
-ceiling(70368744177664, 70368744177664) = 1, ceiling(70368744177666, 70368744177664) = 2, ceiling(-70368744177666, 70368744177664) = 0
-ceiling(140737488355328, 140737488355328) = 1, ceiling(140737488355330, 140737488355328) = 2, ceiling(-140737488355330, 140737488355328) = 0
-ceiling(281474976710656, 281474976710656) = 1, ceiling(281474976710658, 281474976710656) = 2, ceiling(-281474976710658, 281474976710656) = 0
-ceiling(562949953421312, 562949953421312) = 1, ceiling(562949953421314, 562949953421312) = 2, ceiling(-562949953421314, 562949953421312) = 0
-ceiling(1125899906842624, 1125899906842624) = 1, ceiling(1125899906842626, 1125899906842624) = 2, ceiling(-1125899906842626, 1125899906842624) = 0
-ceiling(2251799813685248, 2251799813685248) = 1, ceiling(2251799813685250, 2251799813685248) = 2, ceiling(-2251799813685250, 2251799813685248) = 0
-ceiling(4503599627370496, 4503599627370496) = 1, ceiling(4503599627370498, 4503599627370496) = 2, ceiling(-4503599627370498, 4503599627370496) = 0
-ceiling(9007199254740992, 9007199254740992) = 1, ceiling(9007199254740994, 9007199254740992) = 2, ceiling(-9007199254740994, 9007199254740992) = 0
-ceiling(18014398509481984, 18014398509481984) = 1, ceiling(18014398509481986, 18014398509481984) = 2, ceiling(-18014398509481986, 18014398509481984) = 0
-ceiling(36028797018963968, 36028797018963968) = 1, ceiling(36028797018963970, 36028797018963968) = 2, ceiling(-36028797018963970, 36028797018963968) = 0
-ceiling(72057594037927936, 72057594037927936) = 1, ceiling(72057594037927938, 72057594037927936) = 2, ceiling(-72057594037927938, 72057594037927936) = 0
-ceiling(144115188075855872, 144115188075855872) = 1, ceiling(144115188075855874, 144115188075855872) = 2, ceiling(-144115188075855874, 144115188075855872) = 0
-ceiling(288230376151711744, 288230376151711744) = 1, ceiling(288230376151711746, 288230376151711744) = 2, ceiling(-288230376151711746, 288230376151711744) = 0
-ceiling(576460752303423488, 576460752303423488) = 1, ceiling(576460752303423490, 576460752303423488) = 2, ceiling(-576460752303423490, 576460752303423488) = 0
-ceiling(1152921504606846976, 1152921504606846976) = 1, ceiling(1152921504606846978, 1152921504606846976) = 2, ceiling(-1152921504606846978, 1152921504606846976) = 0
-ceiling(2305843009213693952, 2305843009213693952) = 1, ceiling(2305843009213693954, 2305843009213693952) = 2, ceiling(-2305843009213693954, 2305843009213693952) = 0
-ceiling(4611686018427387904, 4611686018427387904) = 1, ceiling(4611686018427387906, 4611686018427387904) = -1, ceiling(-4611686018427387906, 4611686018427387904) = 0
-ceiling(-9223372036854775808, -9223372036854775808) = 0, ceiling(-9223372036854775806, -9223372036854775808) = 0, ceiling(9223372036854775806, -9223372036854775808) = 0
+ceiling(2, 2) = 2, ceiling(4, 2) = 4, ceiling(-4, 2) = -4
+ceiling(4, 4) = 4, ceiling(6, 4) = 8, ceiling(-6, 4) = 0
+ceiling(8, 8) = 8, ceiling(10, 8) = 16, ceiling(-10, 8) = 0
+ceiling(16, 16) = 16, ceiling(18, 16) = 32, ceiling(-18, 16) = 0
+ceiling(32, 32) = 32, ceiling(34, 32) = 64, ceiling(-34, 32) = 0
+ceiling(64, 64) = 64, ceiling(66, 64) = 128, ceiling(-66, 64) = 0
+ceiling(128, 128) = 128, ceiling(130, 128) = 256, ceiling(-130, 128) = 0
+ceiling(256, 256) = 256, ceiling(258, 256) = 512, ceiling(-258, 256) = 0
+ceiling(512, 512) = 512, ceiling(514, 512) = 1024, ceiling(-514, 512) = 0
+ceiling(1024, 1024) = 1024, ceiling(1026, 1024) = 2048, ceiling(-1026, 1024) = 0
+ceiling(2048, 2048) = 2048, ceiling(2050, 2048) = 4096, ceiling(-2050, 2048) = 0
+ceiling(4096, 4096) = 4096, ceiling(4098, 4096) = 8192, ceiling(-4098, 4096) = 0
+ceiling(8192, 8192) = 8192, ceiling(8194, 8192) = 16384, ceiling(-8194, 8192) = 0
+ceiling(16384, 16384) = 16384, ceiling(16386, 16384) = 32768, ceiling(-16386, 16384) = 0
+ceiling(32768, 32768) = 32768, ceiling(32770, 32768) = 65536, ceiling(-32770, 32768) = 0
+ceiling(65536, 65536) = 65536, ceiling(65538, 65536) = 131072, ceiling(-65538, 65536) = 0
+ceiling(131072, 131072) = 131072, ceiling(131074, 131072) = 262144, ceiling(-131074, 131072) = 0
+ceiling(262144, 262144) = 262144, ceiling(262146, 262144) = 524288, ceiling(-262146, 262144) = 0
+ceiling(524288, 524288) = 524288, ceiling(524290, 524288) = 1048576, ceiling(-524290, 524288) = 0
+ceiling(1048576, 1048576) = 1048576, ceiling(1048578, 1048576) = 2097152, ceiling(-1048578, 1048576) = 0
+ceiling(2097152, 2097152) = 2097152, ceiling(2097154, 2097152) = 4194304, ceiling(-2097154, 2097152) = 0
+ceiling(4194304, 4194304) = 4194304, ceiling(4194306, 4194304) = 8388608, ceiling(-4194306, 4194304) = 0
+ceiling(8388608, 8388608) = 8388608, ceiling(8388610, 8388608) = 16777216, ceiling(-8388610, 8388608) = 0
+ceiling(16777216, 16777216) = 16777216, ceiling(16777218, 16777216) = 33554432, ceiling(-16777218, 16777216) = 0
+ceiling(33554432, 33554432) = 33554432, ceiling(33554434, 33554432) = 67108864, ceiling(-33554434, 33554432) = 0
+ceiling(67108864, 67108864) = 67108864, ceiling(67108866, 67108864) = 134217728, ceiling(-67108866, 67108864) = 0
+ceiling(134217728, 134217728) = 134217728, ceiling(134217730, 134217728) = 268435456, ceiling(-134217730, 134217728) = 0
+ceiling(268435456, 268435456) = 268435456, ceiling(268435458, 268435456) = 536870912, ceiling(-268435458, 268435456) = 0
+ceiling(536870912, 536870912) = 536870912, ceiling(536870914, 536870912) = 1073741824, ceiling(-536870914, 536870912) = 0
+ceiling(1073741824, 1073741824) = 1073741824, ceiling(1073741826, 1073741824) = 2147483648, ceiling(-1073741826, 1073741824) = 0
+ceiling(2147483648, 2147483648) = 2147483648, ceiling(2147483650, 2147483648) = 4294967296, ceiling(-2147483650, 2147483648) = 0
+ceiling(4294967296, 4294967296) = 4294967296, ceiling(4294967298, 4294967296) = 8589934592, ceiling(-4294967298, 4294967296) = 0
+ceiling(8589934592, 8589934592) = 8589934592, ceiling(8589934594, 8589934592) = 17179869184, ceiling(-8589934594, 8589934592) = 0
+ceiling(17179869184, 17179869184) = 17179869184, ceiling(17179869186, 17179869184) = 34359738368, ceiling(-17179869186, 17179869184) = 0
+ceiling(34359738368, 34359738368) = 34359738368, ceiling(34359738370, 34359738368) = 68719476736, ceiling(-34359738370, 34359738368) = 0
+ceiling(68719476736, 68719476736) = 68719476736, ceiling(68719476738, 68719476736) = 137438953472, ceiling(-68719476738, 68719476736) = 0
+ceiling(137438953472, 137438953472) = 137438953472, ceiling(137438953474, 137438953472) = 274877906944, ceiling(-137438953474, 137438953472) = 0
+ceiling(274877906944, 274877906944) = 274877906944, ceiling(274877906946, 274877906944) = 549755813888, ceiling(-274877906946, 274877906944) = 0
+ceiling(549755813888, 549755813888) = 549755813888, ceiling(549755813890, 549755813888) = 1099511627776, ceiling(-549755813890, 549755813888) = 0
+ceiling(1099511627776, 1099511627776) = 1099511627776, ceiling(1099511627778, 1099511627776) = 2199023255552, ceiling(-1099511627778, 1099511627776) = 0
+ceiling(2199023255552, 2199023255552) = 2199023255552, ceiling(2199023255554, 2199023255552) = 4398046511104, ceiling(-2199023255554, 2199023255552) = 0
+ceiling(4398046511104, 4398046511104) = 4398046511104, ceiling(4398046511106, 4398046511104) = 8796093022208, ceiling(-4398046511106, 4398046511104) = 0
+ceiling(8796093022208, 8796093022208) = 8796093022208, ceiling(8796093022210, 8796093022208) = 17592186044416, ceiling(-8796093022210, 8796093022208) = 0
+ceiling(17592186044416, 17592186044416) = 17592186044416, ceiling(17592186044418, 17592186044416) = 35184372088832, ceiling(-17592186044418, 17592186044416) = 0
+ceiling(35184372088832, 35184372088832) = 35184372088832, ceiling(35184372088834, 35184372088832) = 70368744177664, ceiling(-35184372088834, 35184372088832) = 0
+ceiling(70368744177664, 70368744177664) = 70368744177664, ceiling(70368744177666, 70368744177664) = 140737488355328, ceiling(-70368744177666, 70368744177664) = 0
+ceiling(140737488355328, 140737488355328) = 140737488355328, ceiling(140737488355330, 140737488355328) = 281474976710656, ceiling(-140737488355330, 140737488355328) = 0
+ceiling(281474976710656, 281474976710656) = 281474976710656, ceiling(281474976710658, 281474976710656) = 562949953421312, ceiling(-281474976710658, 281474976710656) = 0
+ceiling(562949953421312, 562949953421312) = 562949953421312, ceiling(562949953421314, 562949953421312) = 1125899906842624, ceiling(-562949953421314, 562949953421312) = 0
+ceiling(1125899906842624, 1125899906842624) = 1125899906842624, ceiling(1125899906842626, 1125899906842624) = 2251799813685248, ceiling(-1125899906842626, 1125899906842624) = 0
+ceiling(2251799813685248, 2251799813685248) = 2251799813685248, ceiling(2251799813685250, 2251799813685248) = 4503599627370496, ceiling(-2251799813685250, 2251799813685248) = 0
+ceiling(4503599627370496, 4503599627370496) = 4503599627370496, ceiling(4503599627370498, 4503599627370496) = 9007199254740992, ceiling(-4503599627370498, 4503599627370496) = 0
+ceiling(9007199254740992, 9007199254740992) = 9007199254740992, ceiling(9007199254740994, 9007199254740992) = 18014398509481984, ceiling(-9007199254740994, 9007199254740992) = 0
+ceiling(18014398509481984, 18014398509481984) = 18014398509481984, ceiling(18014398509481986, 18014398509481984) = 36028797018963968, ceiling(-18014398509481986, 18014398509481984) = 0
+ceiling(36028797018963968, 36028797018963968) = 36028797018963968, ceiling(36028797018963970, 36028797018963968) = 72057594037927936, ceiling(-36028797018963970, 36028797018963968) = 0
+ceiling(72057594037927936, 72057594037927936) = 72057594037927936, ceiling(72057594037927938, 72057594037927936) = 144115188075855872, ceiling(-72057594037927938, 72057594037927936) = 0
+ceiling(144115188075855872, 144115188075855872) = 144115188075855872, ceiling(144115188075855874, 144115188075855872) = 288230376151711744, ceiling(-144115188075855874, 144115188075855872) = 0
+ceiling(288230376151711744, 288230376151711744) = 288230376151711744, ceiling(288230376151711746, 288230376151711744) = 576460752303423488, ceiling(-288230376151711746, 288230376151711744) = 0
+ceiling(576460752303423488, 576460752303423488) = 576460752303423488, ceiling(576460752303423490, 576460752303423488) = 1152921504606846976, ceiling(-576460752303423490, 576460752303423488) = 0
+ceiling(1152921504606846976, 1152921504606846976) = 1152921504606846976, ceiling(1152921504606846978, 1152921504606846976) = 2305843009213693952, ceiling(-1152921504606846978, 1152921504606846976) = 0
+ceiling(2305843009213693952, 2305843009213693952) = 2305843009213693952, ceiling(2305843009213693954, 2305843009213693952) = 4611686018427387904, ceiling(-2305843009213693954, 2305843009213693952) = 0
+ceiling(4611686018427387904, 4611686018427387904) = 4611686018427387904, ceiling(4611686018427387906, 4611686018427387904) = -4611686018427387904, ceiling(-4611686018427387906, 4611686018427387904) = 0
+ceiling(-9223372036854775808, -9223372036854775808) = -9223372036854775808, ceiling(-9223372036854775806, -9223372036854775808) = 0, ceiling(9223372036854775806, -9223372036854775808) = 0
 
 unsigned long int
 ceiling(1, 1) = 1, ceiling(3, 1) = 3, ceiling(18446744073709551613, 1) = 18446744073709551613
-ceiling(2, 2) = 1, ceiling(4, 2) = 2, ceiling(18446744073709551612, 2) = 9223372036854775806
-ceiling(4, 4) = 1, ceiling(6, 4) = 2, ceiling(18446744073709551610, 4) = 4611686018427387903
-ceiling(8, 8) = 1, ceiling(10, 8) = 2, ceiling(18446744073709551606, 8) = 2305843009213693951
-ceiling(16, 16) = 1, ceiling(18, 16) = 2, ceiling(18446744073709551598, 16) = 1152921504606846975
-ceiling(32, 32) = 1, ceiling(34, 32) = 2, ceiling(18446744073709551582, 32) = 576460752303423487
-ceiling(64, 64) = 1, ceiling(66, 64) = 2, ceiling(18446744073709551550, 64) = 288230376151711743
-ceiling(128, 128) = 1, ceiling(130, 128) = 2, ceiling(18446744073709551486, 128) = 144115188075855871
-ceiling(256, 256) = 1, ceiling(258, 256) = 2, ceiling(18446744073709551358, 256) = 72057594037927935
-ceiling(512, 512) = 1, ceiling(514, 512) = 2, ceiling(18446744073709551102, 512) = 36028797018963967
-ceiling(1024, 1024) = 1, ceiling(1026, 1024) = 2, ceiling(18446744073709550590, 1024) = 18014398509481983
-ceiling(2048, 2048) = 1, ceiling(2050, 2048) = 2, ceiling(18446744073709549566, 2048) = 9007199254740991
-ceiling(4096, 4096) = 1, ceiling(4098, 4096) = 2, ceiling(18446744073709547518, 4096) = 4503599627370495
-ceiling(8192, 8192) = 1, ceiling(8194, 8192) = 2, ceiling(18446744073709543422, 8192) = 2251799813685247
-ceiling(16384, 16384) = 1, ceiling(16386, 16384) = 2, ceiling(18446744073709535230, 16384) = 1125899906842623
-ceiling(32768, 32768) = 1, ceiling(32770, 32768) = 2, ceiling(18446744073709518846, 32768) = 562949953421311
-ceiling(65536, 65536) = 1, ceiling(65538, 65536) = 2, ceiling(18446744073709486078, 65536) = 281474976710655
-ceiling(131072, 131072) = 1, ceiling(131074, 131072) = 2, ceiling(18446744073709420542, 131072) = 140737488355327
-ceiling(262144, 262144) = 1, ceiling(262146, 262144) = 2, ceiling(18446744073709289470, 262144) = 70368744177663
-ceiling(524288, 524288) = 1, ceiling(524290, 524288) = 2, ceiling(18446744073709027326, 524288) = 35184372088831
-ceiling(1048576, 1048576) = 1, ceiling(1048578, 1048576) = 2, ceiling(18446744073708503038, 1048576) = 17592186044415
-ceiling(2097152, 2097152) = 1, ceiling(2097154, 2097152) = 2, ceiling(18446744073707454462, 2097152) = 8796093022207
-ceiling(4194304, 4194304) = 1, ceiling(4194306, 4194304) = 2, ceiling(18446744073705357310, 4194304) = 4398046511103
-ceiling(8388608, 8388608) = 1, ceiling(8388610, 8388608) = 2, ceiling(18446744073701163006, 8388608) = 2199023255551
-ceiling(16777216, 16777216) = 1, ceiling(16777218, 16777216) = 2, ceiling(18446744073692774398, 16777216) = 1099511627775
-ceiling(33554432, 33554432) = 1, ceiling(33554434, 33554432) = 2, ceiling(18446744073675997182, 33554432) = 549755813887
-ceiling(67108864, 67108864) = 1, ceiling(67108866, 67108864) = 2, ceiling(18446744073642442750, 67108864) = 274877906943
-ceiling(134217728, 134217728) = 1, ceiling(134217730, 134217728) = 2, ceiling(18446744073575333886, 134217728) = 137438953471
-ceiling(268435456, 268435456) = 1, ceiling(268435458, 268435456) = 2, ceiling(18446744073441116158, 268435456) = 68719476735
-ceiling(536870912, 536870912) = 1, ceiling(536870914, 536870912) = 2, ceiling(18446744073172680702, 536870912) = 34359738367
-ceiling(1073741824, 1073741824) = 1, ceiling(1073741826, 1073741824) = 2, ceiling(18446744072635809790, 1073741824) = 17179869183
-ceiling(2147483648, 2147483648) = 1, ceiling(2147483650, 2147483648) = 2, ceiling(18446744071562067966, 2147483648) = 8589934591
-ceiling(4294967296, 4294967296) = 1, ceiling(4294967298, 4294967296) = 2, ceiling(18446744069414584318, 4294967296) = 4294967295
-ceiling(8589934592, 8589934592) = 1, ceiling(8589934594, 8589934592) = 2, ceiling(18446744065119617022, 8589934592) = 2147483647
-ceiling(17179869184, 17179869184) = 1, ceiling(17179869186, 17179869184) = 2, ceiling(18446744056529682430, 17179869184) = 1073741823
-ceiling(34359738368, 34359738368) = 1, ceiling(34359738370, 34359738368) = 2, ceiling(18446744039349813246, 34359738368) = 536870911
-ceiling(68719476736, 68719476736) = 1, ceiling(68719476738, 68719476736) = 2, ceiling(18446744004990074878, 68719476736) = 268435455
-ceiling(137438953472, 137438953472) = 1, ceiling(137438953474, 137438953472) = 2, ceiling(18446743936270598142, 137438953472) = 134217727
-ceiling(274877906944, 274877906944) = 1, ceiling(274877906946, 274877906944) = 2, ceiling(18446743798831644670, 274877906944) = 67108863
-ceiling(549755813888, 549755813888) = 1, ceiling(549755813890, 549755813888) = 2, ceiling(18446743523953737726, 549755813888) = 33554431
-ceiling(1099511627776, 1099511627776) = 1, ceiling(1099511627778, 1099511627776) = 2, ceiling(18446742974197923838, 1099511627776) = 16777215
-ceiling(2199023255552, 2199023255552) = 1, ceiling(2199023255554, 2199023255552) = 2, ceiling(18446741874686296062, 2199023255552) = 8388607
-ceiling(4398046511104, 4398046511104) = 1, ceiling(4398046511106, 4398046511104) = 2, ceiling(18446739675663040510, 4398046511104) = 4194303
-ceiling(8796093022208, 8796093022208) = 1, ceiling(8796093022210, 8796093022208) = 2, ceiling(18446735277616529406, 8796093022208) = 2097151
-ceiling(17592186044416, 17592186044416) = 1, ceiling(17592186044418, 17592186044416) = 2, ceiling(18446726481523507198, 17592186044416) = 1048575
-ceiling(35184372088832, 35184372088832) = 1, ceiling(35184372088834, 35184372088832) = 2, ceiling(18446708889337462782, 35184372088832) = 524287
-ceiling(70368744177664, 70368744177664) = 1, ceiling(70368744177666, 70368744177664) = 2, ceiling(18446673704965373950, 70368744177664) = 262143
-ceiling(140737488355328, 140737488355328) = 1, ceiling(140737488355330, 140737488355328) = 2, ceiling(18446603336221196286, 140737488355328) = 131071
-ceiling(281474976710656, 281474976710656) = 1, ceiling(281474976710658, 281474976710656) = 2, ceiling(18446462598732840958, 281474976710656) = 65535
-ceiling(562949953421312, 562949953421312) = 1, ceiling(562949953421314, 562949953421312) = 2, ceiling(18446181123756130302, 562949953421312) = 32767
-ceiling(1125899906842624, 1125899906842624) = 1, ceiling(1125899906842626, 1125899906842624) = 2, ceiling(18445618173802708990, 1125899906842624) = 16383
-ceiling(2251799813685248, 2251799813685248) = 1, ceiling(2251799813685250, 2251799813685248) = 2, ceiling(18444492273895866366, 2251799813685248) = 8191
-ceiling(4503599627370496, 4503599627370496) = 1, ceiling(4503599627370498, 4503599627370496) = 2, ceiling(18442240474082181118, 4503599627370496) = 4095
-ceiling(9007199254740992, 9007199254740992) = 1, ceiling(9007199254740994, 9007199254740992) = 2, ceiling(18437736874454810622, 9007199254740992) = 2047
-ceiling(18014398509481984, 18014398509481984) = 1, ceiling(18014398509481986, 18014398509481984) = 2, ceiling(18428729675200069630, 18014398509481984) = 1023
-ceiling(36028797018963968, 36028797018963968) = 1, ceiling(36028797018963970, 36028797018963968) = 2, ceiling(18410715276690587646, 36028797018963968) = 511
-ceiling(72057594037927936, 72057594037927936) = 1, ceiling(72057594037927938, 72057594037927936) = 2, ceiling(18374686479671623678, 72057594037927936) = 255
-ceiling(144115188075855872, 144115188075855872) = 1, ceiling(144115188075855874, 144115188075855872) = 2, ceiling(18302628885633695742, 144115188075855872) = 127
-ceiling(288230376151711744, 288230376151711744) = 1, ceiling(288230376151711746, 288230376151711744) = 2, ceiling(18158513697557839870, 288230376151711744) = 63
-ceiling(576460752303423488, 576460752303423488) = 1, ceiling(576460752303423490, 576460752303423488) = 2, ceiling(17870283321406128126, 576460752303423488) = 31
-ceiling(1152921504606846976, 1152921504606846976) = 1, ceiling(1152921504606846978, 1152921504606846976) = 2, ceiling(17293822569102704638, 1152921504606846976) = 15
-ceiling(2305843009213693952, 2305843009213693952) = 1, ceiling(2305843009213693954, 2305843009213693952) = 2, ceiling(16140901064495857662, 2305843009213693952) = 7
-ceiling(4611686018427387904, 4611686018427387904) = 1, ceiling(4611686018427387906, 4611686018427387904) = 2, ceiling(13835058055282163710, 4611686018427387904) = 3
-ceiling(9223372036854775808, 9223372036854775808) = 1, ceiling(9223372036854775810, 9223372036854775808) = 0, ceiling(9223372036854775806, 9223372036854775808) = 1
+ceiling(2, 2) = 2, ceiling(4, 2) = 4, ceiling(18446744073709551612, 2) = 18446744073709551612
+ceiling(4, 4) = 4, ceiling(6, 4) = 8, ceiling(18446744073709551610, 4) = 18446744073709551612
+ceiling(8, 8) = 8, ceiling(10, 8) = 16, ceiling(18446744073709551606, 8) = 18446744073709551608
+ceiling(16, 16) = 16, ceiling(18, 16) = 32, ceiling(18446744073709551598, 16) = 18446744073709551600
+ceiling(32, 32) = 32, ceiling(34, 32) = 64, ceiling(18446744073709551582, 32) = 18446744073709551584
+ceiling(64, 64) = 64, ceiling(66, 64) = 128, ceiling(18446744073709551550, 64) = 18446744073709551552
+ceiling(128, 128) = 128, ceiling(130, 128) = 256, ceiling(18446744073709551486, 128) = 18446744073709551488
+ceiling(256, 256) = 256, ceiling(258, 256) = 512, ceiling(18446744073709551358, 256) = 18446744073709551360
+ceiling(512, 512) = 512, ceiling(514, 512) = 1024, ceiling(18446744073709551102, 512) = 18446744073709551104
+ceiling(1024, 1024) = 1024, ceiling(1026, 1024) = 2048, ceiling(18446744073709550590, 1024) = 18446744073709550592
+ceiling(2048, 2048) = 2048, ceiling(2050, 2048) = 4096, ceiling(18446744073709549566, 2048) = 18446744073709549568
+ceiling(4096, 4096) = 4096, ceiling(4098, 4096) = 8192, ceiling(18446744073709547518, 4096) = 18446744073709547520
+ceiling(8192, 8192) = 8192, ceiling(8194, 8192) = 16384, ceiling(18446744073709543422, 8192) = 18446744073709543424
+ceiling(16384, 16384) = 16384, ceiling(16386, 16384) = 32768, ceiling(18446744073709535230, 16384) = 18446744073709535232
+ceiling(32768, 32768) = 32768, ceiling(32770, 32768) = 65536, ceiling(18446744073709518846, 32768) = 18446744073709518848
+ceiling(65536, 65536) = 65536, ceiling(65538, 65536) = 131072, ceiling(18446744073709486078, 65536) = 18446744073709486080
+ceiling(131072, 131072) = 131072, ceiling(131074, 131072) = 262144, ceiling(18446744073709420542, 131072) = 18446744073709420544
+ceiling(262144, 262144) = 262144, ceiling(262146, 262144) = 524288, ceiling(18446744073709289470, 262144) = 18446744073709289472
+ceiling(524288, 524288) = 524288, ceiling(524290, 524288) = 1048576, ceiling(18446744073709027326, 524288) = 18446744073709027328
+ceiling(1048576, 1048576) = 1048576, ceiling(1048578, 1048576) = 2097152, ceiling(18446744073708503038, 1048576) = 18446744073708503040
+ceiling(2097152, 2097152) = 2097152, ceiling(2097154, 2097152) = 4194304, ceiling(18446744073707454462, 2097152) = 18446744073707454464
+ceiling(4194304, 4194304) = 4194304, ceiling(4194306, 4194304) = 8388608, ceiling(18446744073705357310, 4194304) = 18446744073705357312
+ceiling(8388608, 8388608) = 8388608, ceiling(8388610, 8388608) = 16777216, ceiling(18446744073701163006, 8388608) = 18446744073701163008
+ceiling(16777216, 16777216) = 16777216, ceiling(16777218, 16777216) = 33554432, ceiling(18446744073692774398, 16777216) = 18446744073692774400
+ceiling(33554432, 33554432) = 33554432, ceiling(33554434, 33554432) = 67108864, ceiling(18446744073675997182, 33554432) = 18446744073675997184
+ceiling(67108864, 67108864) = 67108864, ceiling(67108866, 67108864) = 134217728, ceiling(18446744073642442750, 67108864) = 18446744073642442752
+ceiling(134217728, 134217728) = 134217728, ceiling(134217730, 134217728) = 268435456, ceiling(18446744073575333886, 134217728) = 18446744073575333888
+ceiling(268435456, 268435456) = 268435456, ceiling(268435458, 268435456) = 536870912, ceiling(18446744073441116158, 268435456) = 18446744073441116160
+ceiling(536870912, 536870912) = 536870912, ceiling(536870914, 536870912) = 1073741824, ceiling(18446744073172680702, 536870912) = 18446744073172680704
+ceiling(1073741824, 1073741824) = 1073741824, ceiling(1073741826, 1073741824) = 2147483648, ceiling(18446744072635809790, 1073741824) = 18446744072635809792
+ceiling(2147483648, 2147483648) = 2147483648, ceiling(2147483650, 2147483648) = 4294967296, ceiling(18446744071562067966, 2147483648) = 18446744071562067968
+ceiling(4294967296, 4294967296) = 4294967296, ceiling(4294967298, 4294967296) = 8589934592, ceiling(18446744069414584318, 4294967296) = 18446744069414584320
+ceiling(8589934592, 8589934592) = 8589934592, ceiling(8589934594, 8589934592) = 17179869184, ceiling(18446744065119617022, 8589934592) = 18446744065119617024
+ceiling(17179869184, 17179869184) = 17179869184, ceiling(17179869186, 17179869184) = 34359738368, ceiling(18446744056529682430, 17179869184) = 18446744056529682432
+ceiling(34359738368, 34359738368) = 34359738368, ceiling(34359738370, 34359738368) = 68719476736, ceiling(18446744039349813246, 34359738368) = 18446744039349813248
+ceiling(68719476736, 68719476736) = 68719476736, ceiling(68719476738, 68719476736) = 137438953472, ceiling(18446744004990074878, 68719476736) = 18446744004990074880
+ceiling(137438953472, 137438953472) = 137438953472, ceiling(137438953474, 137438953472) = 274877906944, ceiling(18446743936270598142, 137438953472) = 18446743936270598144
+ceiling(274877906944, 274877906944) = 274877906944, ceiling(274877906946, 274877906944) = 549755813888, ceiling(18446743798831644670, 274877906944) = 18446743798831644672
+ceiling(549755813888, 549755813888) = 549755813888, ceiling(549755813890, 549755813888) = 1099511627776, ceiling(18446743523953737726, 549755813888) = 18446743523953737728
+ceiling(1099511627776, 1099511627776) = 1099511627776, ceiling(1099511627778, 1099511627776) = 2199023255552, ceiling(18446742974197923838, 1099511627776) = 18446742974197923840
+ceiling(2199023255552, 2199023255552) = 2199023255552, ceiling(2199023255554, 2199023255552) = 4398046511104, ceiling(18446741874686296062, 2199023255552) = 18446741874686296064
+ceiling(4398046511104, 4398046511104) = 4398046511104, ceiling(4398046511106, 4398046511104) = 8796093022208, ceiling(18446739675663040510, 4398046511104) = 18446739675663040512
+ceiling(8796093022208, 8796093022208) = 8796093022208, ceiling(8796093022210, 8796093022208) = 17592186044416, ceiling(18446735277616529406, 8796093022208) = 18446735277616529408
+ceiling(17592186044416, 17592186044416) = 17592186044416, ceiling(17592186044418, 17592186044416) = 35184372088832, ceiling(18446726481523507198, 17592186044416) = 18446726481523507200
+ceiling(35184372088832, 35184372088832) = 35184372088832, ceiling(35184372088834, 35184372088832) = 70368744177664, ceiling(18446708889337462782, 35184372088832) = 18446708889337462784
+ceiling(70368744177664, 70368744177664) = 70368744177664, ceiling(70368744177666, 70368744177664) = 140737488355328, ceiling(18446673704965373950, 70368744177664) = 18446673704965373952
+ceiling(140737488355328, 140737488355328) = 140737488355328, ceiling(140737488355330, 140737488355328) = 281474976710656, ceiling(18446603336221196286, 140737488355328) = 18446603336221196288
+ceiling(281474976710656, 281474976710656) = 281474976710656, ceiling(281474976710658, 281474976710656) = 562949953421312, ceiling(18446462598732840958, 281474976710656) = 18446462598732840960
+ceiling(562949953421312, 562949953421312) = 562949953421312, ceiling(562949953421314, 562949953421312) = 1125899906842624, ceiling(18446181123756130302, 562949953421312) = 18446181123756130304
+ceiling(1125899906842624, 1125899906842624) = 1125899906842624, ceiling(1125899906842626, 1125899906842624) = 2251799813685248, ceiling(18445618173802708990, 1125899906842624) = 18445618173802708992
+ceiling(2251799813685248, 2251799813685248) = 2251799813685248, ceiling(2251799813685250, 2251799813685248) = 4503599627370496, ceiling(18444492273895866366, 2251799813685248) = 18444492273895866368
+ceiling(4503599627370496, 4503599627370496) = 4503599627370496, ceiling(4503599627370498, 4503599627370496) = 9007199254740992, ceiling(18442240474082181118, 4503599627370496) = 18442240474082181120
+ceiling(9007199254740992, 9007199254740992) = 9007199254740992, ceiling(9007199254740994, 9007199254740992) = 18014398509481984, ceiling(18437736874454810622, 9007199254740992) = 18437736874454810624
+ceiling(18014398509481984, 18014398509481984) = 18014398509481984, ceiling(18014398509481986, 18014398509481984) = 36028797018963968, ceiling(18428729675200069630, 18014398509481984) = 18428729675200069632
+ceiling(36028797018963968, 36028797018963968) = 36028797018963968, ceiling(36028797018963970, 36028797018963968) = 72057594037927936, ceiling(18410715276690587646, 36028797018963968) = 18410715276690587648
+ceiling(72057594037927936, 72057594037927936) = 72057594037927936, ceiling(72057594037927938, 72057594037927936) = 144115188075855872, ceiling(18374686479671623678, 72057594037927936) = 18374686479671623680
+ceiling(144115188075855872, 144115188075855872) = 144115188075855872, ceiling(144115188075855874, 144115188075855872) = 288230376151711744, ceiling(18302628885633695742, 144115188075855872) = 18302628885633695744
+ceiling(288230376151711744, 288230376151711744) = 288230376151711744, ceiling(288230376151711746, 288230376151711744) = 576460752303423488, ceiling(18158513697557839870, 288230376151711744) = 18158513697557839872
+ceiling(576460752303423488, 576460752303423488) = 576460752303423488, ceiling(576460752303423490, 576460752303423488) = 1152921504606846976, ceiling(17870283321406128126, 576460752303423488) = 17870283321406128128
+ceiling(1152921504606846976, 1152921504606846976) = 1152921504606846976, ceiling(1152921504606846978, 1152921504606846976) = 2305843009213693952, ceiling(17293822569102704638, 1152921504606846976) = 17293822569102704640
+ceiling(2305843009213693952, 2305843009213693952) = 2305843009213693952, ceiling(2305843009213693954, 2305843009213693952) = 4611686018427387904, ceiling(16140901064495857662, 2305843009213693952) = 16140901064495857664
+ceiling(4611686018427387904, 4611686018427387904) = 4611686018427387904, ceiling(4611686018427387906, 4611686018427387904) = 9223372036854775808, ceiling(13835058055282163710, 4611686018427387904) = 13835058055282163712
+ceiling(9223372036854775808, 9223372036854775808) = 9223372036854775808, ceiling(9223372036854775810, 9223372036854775808) = 0, ceiling(9223372036854775806, 9223372036854775808) = 9223372036854775808
 
 long long int
 ceiling(1, 1) = 1, ceiling(3, 1) = 3, ceiling(-3, 1) = -3
-ceiling(2, 2) = 1, ceiling(4, 2) = 2, ceiling(-4, 2) = -1
-ceiling(4, 4) = 1, ceiling(6, 4) = 2, ceiling(-6, 4) = 0
-ceiling(8, 8) = 1, ceiling(10, 8) = 2, ceiling(-10, 8) = 0
-ceiling(16, 16) = 1, ceiling(18, 16) = 2, ceiling(-18, 16) = 0
-ceiling(32, 32) = 1, ceiling(34, 32) = 2, ceiling(-34, 32) = 0
-ceiling(64, 64) = 1, ceiling(66, 64) = 2, ceiling(-66, 64) = 0
-ceiling(128, 128) = 1, ceiling(130, 128) = 2, ceiling(-130, 128) = 0
-ceiling(256, 256) = 1, ceiling(258, 256) = 2, ceiling(-258, 256) = 0
-ceiling(512, 512) = 1, ceiling(514, 512) = 2, ceiling(-514, 512) = 0
-ceiling(1024, 1024) = 1, ceiling(1026, 1024) = 2, ceiling(-1026, 1024) = 0
-ceiling(2048, 2048) = 1, ceiling(2050, 2048) = 2, ceiling(-2050, 2048) = 0
-ceiling(4096, 4096) = 1, ceiling(4098, 4096) = 2, ceiling(-4098, 4096) = 0
-ceiling(8192, 8192) = 1, ceiling(8194, 8192) = 2, ceiling(-8194, 8192) = 0
-ceiling(16384, 16384) = 1, ceiling(16386, 16384) = 2, ceiling(-16386, 16384) = 0
-ceiling(32768, 32768) = 1, ceiling(32770, 32768) = 2, ceiling(-32770, 32768) = 0
-ceiling(65536, 65536) = 1, ceiling(65538, 65536) = 2, ceiling(-65538, 65536) = 0
-ceiling(131072, 131072) = 1, ceiling(131074, 131072) = 2, ceiling(-131074, 131072) = 0
-ceiling(262144, 262144) = 1, ceiling(262146, 262144) = 2, ceiling(-262146, 262144) = 0
-ceiling(524288, 524288) = 1, ceiling(524290, 524288) = 2, ceiling(-524290, 524288) = 0
-ceiling(1048576, 1048576) = 1, ceiling(1048578, 1048576) = 2, ceiling(-1048578, 1048576) = 0
-ceiling(2097152, 2097152) = 1, ceiling(2097154, 2097152) = 2, ceiling(-2097154, 2097152) = 0
-ceiling(4194304, 4194304) = 1, ceiling(4194306, 4194304) = 2, ceiling(-4194306, 4194304) = 0
-ceiling(8388608, 8388608) = 1, ceiling(8388610, 8388608) = 2, ceiling(-8388610, 8388608) = 0
-ceiling(16777216, 16777216) = 1, ceiling(16777218, 16777216) = 2, ceiling(-16777218, 16777216) = 0
-ceiling(33554432, 33554432) = 1, ceiling(33554434, 33554432) = 2, ceiling(-33554434, 33554432) = 0
-ceiling(67108864, 67108864) = 1, ceiling(67108866, 67108864) = 2, ceiling(-67108866, 67108864) = 0
-ceiling(134217728, 134217728) = 1, ceiling(134217730, 134217728) = 2, ceiling(-134217730, 134217728) = 0
-ceiling(268435456, 268435456) = 1, ceiling(268435458, 268435456) = 2, ceiling(-268435458, 268435456) = 0
-ceiling(536870912, 536870912) = 1, ceiling(536870914, 536870912) = 2, ceiling(-536870914, 536870912) = 0
-ceiling(1073741824, 1073741824) = 1, ceiling(1073741826, 1073741824) = 2, ceiling(-1073741826, 1073741824) = 0
-ceiling(2147483648, 2147483648) = 1, ceiling(2147483650, 2147483648) = 2, ceiling(-2147483650, 2147483648) = 0
-ceiling(4294967296, 4294967296) = 1, ceiling(4294967298, 4294967296) = 2, ceiling(-4294967298, 4294967296) = 0
-ceiling(8589934592, 8589934592) = 1, ceiling(8589934594, 8589934592) = 2, ceiling(-8589934594, 8589934592) = 0
-ceiling(17179869184, 17179869184) = 1, ceiling(17179869186, 17179869184) = 2, ceiling(-17179869186, 17179869184) = 0
-ceiling(34359738368, 34359738368) = 1, ceiling(34359738370, 34359738368) = 2, ceiling(-34359738370, 34359738368) = 0
-ceiling(68719476736, 68719476736) = 1, ceiling(68719476738, 68719476736) = 2, ceiling(-68719476738, 68719476736) = 0
-ceiling(137438953472, 137438953472) = 1, ceiling(137438953474, 137438953472) = 2, ceiling(-137438953474, 137438953472) = 0
-ceiling(274877906944, 274877906944) = 1, ceiling(274877906946, 274877906944) = 2, ceiling(-274877906946, 274877906944) = 0
-ceiling(549755813888, 549755813888) = 1, ceiling(549755813890, 549755813888) = 2, ceiling(-549755813890, 549755813888) = 0
-ceiling(1099511627776, 1099511627776) = 1, ceiling(1099511627778, 1099511627776) = 2, ceiling(-1099511627778, 1099511627776) = 0
-ceiling(2199023255552, 2199023255552) = 1, ceiling(2199023255554, 2199023255552) = 2, ceiling(-2199023255554, 2199023255552) = 0
-ceiling(4398046511104, 4398046511104) = 1, ceiling(4398046511106, 4398046511104) = 2, ceiling(-4398046511106, 4398046511104) = 0
-ceiling(8796093022208, 8796093022208) = 1, ceiling(8796093022210, 8796093022208) = 2, ceiling(-8796093022210, 8796093022208) = 0
-ceiling(17592186044416, 17592186044416) = 1, ceiling(17592186044418, 17592186044416) = 2, ceiling(-17592186044418, 17592186044416) = 0
-ceiling(35184372088832, 35184372088832) = 1, ceiling(35184372088834, 35184372088832) = 2, ceiling(-35184372088834, 35184372088832) = 0
-ceiling(70368744177664, 70368744177664) = 1, ceiling(70368744177666, 70368744177664) = 2, ceiling(-70368744177666, 70368744177664) = 0
-ceiling(140737488355328, 140737488355328) = 1, ceiling(140737488355330, 140737488355328) = 2, ceiling(-140737488355330, 140737488355328) = 0
-ceiling(281474976710656, 281474976710656) = 1, ceiling(281474976710658, 281474976710656) = 2, ceiling(-281474976710658, 281474976710656) = 0
-ceiling(562949953421312, 562949953421312) = 1, ceiling(562949953421314, 562949953421312) = 2, ceiling(-562949953421314, 562949953421312) = 0
-ceiling(1125899906842624, 1125899906842624) = 1, ceiling(1125899906842626, 1125899906842624) = 2, ceiling(-1125899906842626, 1125899906842624) = 0
-ceiling(2251799813685248, 2251799813685248) = 1, ceiling(2251799813685250, 2251799813685248) = 2, ceiling(-2251799813685250, 2251799813685248) = 0
-ceiling(4503599627370496, 4503599627370496) = 1, ceiling(4503599627370498, 4503599627370496) = 2, ceiling(-4503599627370498, 4503599627370496) = 0
-ceiling(9007199254740992, 9007199254740992) = 1, ceiling(9007199254740994, 9007199254740992) = 2, ceiling(-9007199254740994, 9007199254740992) = 0
-ceiling(18014398509481984, 18014398509481984) = 1, ceiling(18014398509481986, 18014398509481984) = 2, ceiling(-18014398509481986, 18014398509481984) = 0
-ceiling(36028797018963968, 36028797018963968) = 1, ceiling(36028797018963970, 36028797018963968) = 2, ceiling(-36028797018963970, 36028797018963968) = 0
-ceiling(72057594037927936, 72057594037927936) = 1, ceiling(72057594037927938, 72057594037927936) = 2, ceiling(-72057594037927938, 72057594037927936) = 0
-ceiling(144115188075855872, 144115188075855872) = 1, ceiling(144115188075855874, 144115188075855872) = 2, ceiling(-144115188075855874, 144115188075855872) = 0
-ceiling(288230376151711744, 288230376151711744) = 1, ceiling(288230376151711746, 288230376151711744) = 2, ceiling(-288230376151711746, 288230376151711744) = 0
-ceiling(576460752303423488, 576460752303423488) = 1, ceiling(576460752303423490, 576460752303423488) = 2, ceiling(-576460752303423490, 576460752303423488) = 0
-ceiling(1152921504606846976, 1152921504606846976) = 1, ceiling(1152921504606846978, 1152921504606846976) = 2, ceiling(-1152921504606846978, 1152921504606846976) = 0
-ceiling(2305843009213693952, 2305843009213693952) = 1, ceiling(2305843009213693954, 2305843009213693952) = 2, ceiling(-2305843009213693954, 2305843009213693952) = 0
-ceiling(4611686018427387904, 4611686018427387904) = 1, ceiling(4611686018427387906, 4611686018427387904) = -1, ceiling(-4611686018427387906, 4611686018427387904) = 0
-ceiling(-9223372036854775808, -9223372036854775808) = 0, ceiling(-9223372036854775806, -9223372036854775808) = 0, ceiling(9223372036854775806, -9223372036854775808) = 0
+ceiling(2, 2) = 2, ceiling(4, 2) = 4, ceiling(-4, 2) = -4
+ceiling(4, 4) = 4, ceiling(6, 4) = 8, ceiling(-6, 4) = 0
+ceiling(8, 8) = 8, ceiling(10, 8) = 16, ceiling(-10, 8) = 0
+ceiling(16, 16) = 16, ceiling(18, 16) = 32, ceiling(-18, 16) = 0
+ceiling(32, 32) = 32, ceiling(34, 32) = 64, ceiling(-34, 32) = 0
+ceiling(64, 64) = 64, ceiling(66, 64) = 128, ceiling(-66, 64) = 0
+ceiling(128, 128) = 128, ceiling(130, 128) = 256, ceiling(-130, 128) = 0
+ceiling(256, 256) = 256, ceiling(258, 256) = 512, ceiling(-258, 256) = 0
+ceiling(512, 512) = 512, ceiling(514, 512) = 1024, ceiling(-514, 512) = 0
+ceiling(1024, 1024) = 1024, ceiling(1026, 1024) = 2048, ceiling(-1026, 1024) = 0
+ceiling(2048, 2048) = 2048, ceiling(2050, 2048) = 4096, ceiling(-2050, 2048) = 0
+ceiling(4096, 4096) = 4096, ceiling(4098, 4096) = 8192, ceiling(-4098, 4096) = 0
+ceiling(8192, 8192) = 8192, ceiling(8194, 8192) = 16384, ceiling(-8194, 8192) = 0
+ceiling(16384, 16384) = 16384, ceiling(16386, 16384) = 32768, ceiling(-16386, 16384) = 0
+ceiling(32768, 32768) = 32768, ceiling(32770, 32768) = 65536, ceiling(-32770, 32768) = 0
+ceiling(65536, 65536) = 65536, ceiling(65538, 65536) = 131072, ceiling(-65538, 65536) = 0
+ceiling(131072, 131072) = 131072, ceiling(131074, 131072) = 262144, ceiling(-131074, 131072) = 0
+ceiling(262144, 262144) = 262144, ceiling(262146, 262144) = 524288, ceiling(-262146, 262144) = 0
+ceiling(524288, 524288) = 524288, ceiling(524290, 524288) = 1048576, ceiling(-524290, 524288) = 0
+ceiling(1048576, 1048576) = 1048576, ceiling(1048578, 1048576) = 2097152, ceiling(-1048578, 1048576) = 0
+ceiling(2097152, 2097152) = 2097152, ceiling(2097154, 2097152) = 4194304, ceiling(-2097154, 2097152) = 0
+ceiling(4194304, 4194304) = 4194304, ceiling(4194306, 4194304) = 8388608, ceiling(-4194306, 4194304) = 0
+ceiling(8388608, 8388608) = 8388608, ceiling(8388610, 8388608) = 16777216, ceiling(-8388610, 8388608) = 0
+ceiling(16777216, 16777216) = 16777216, ceiling(16777218, 16777216) = 33554432, ceiling(-16777218, 16777216) = 0
+ceiling(33554432, 33554432) = 33554432, ceiling(33554434, 33554432) = 67108864, ceiling(-33554434, 33554432) = 0
+ceiling(67108864, 67108864) = 67108864, ceiling(67108866, 67108864) = 134217728, ceiling(-67108866, 67108864) = 0
+ceiling(134217728, 134217728) = 134217728, ceiling(134217730, 134217728) = 268435456, ceiling(-134217730, 134217728) = 0
+ceiling(268435456, 268435456) = 268435456, ceiling(268435458, 268435456) = 536870912, ceiling(-268435458, 268435456) = 0
+ceiling(536870912, 536870912) = 536870912, ceiling(536870914, 536870912) = 1073741824, ceiling(-536870914, 536870912) = 0
+ceiling(1073741824, 1073741824) = 1073741824, ceiling(1073741826, 1073741824) = 2147483648, ceiling(-1073741826, 1073741824) = 0
+ceiling(2147483648, 2147483648) = 2147483648, ceiling(2147483650, 2147483648) = 4294967296, ceiling(-2147483650, 2147483648) = 0
+ceiling(4294967296, 4294967296) = 4294967296, ceiling(4294967298, 4294967296) = 8589934592, ceiling(-4294967298, 4294967296) = 0
+ceiling(8589934592, 8589934592) = 8589934592, ceiling(8589934594, 8589934592) = 17179869184, ceiling(-8589934594, 8589934592) = 0
+ceiling(17179869184, 17179869184) = 17179869184, ceiling(17179869186, 17179869184) = 34359738368, ceiling(-17179869186, 17179869184) = 0
+ceiling(34359738368, 34359738368) = 34359738368, ceiling(34359738370, 34359738368) = 68719476736, ceiling(-34359738370, 34359738368) = 0
+ceiling(68719476736, 68719476736) = 68719476736, ceiling(68719476738, 68719476736) = 137438953472, ceiling(-68719476738, 68719476736) = 0
+ceiling(137438953472, 137438953472) = 137438953472, ceiling(137438953474, 137438953472) = 274877906944, ceiling(-137438953474, 137438953472) = 0
+ceiling(274877906944, 274877906944) = 274877906944, ceiling(274877906946, 274877906944) = 549755813888, ceiling(-274877906946, 274877906944) = 0
+ceiling(549755813888, 549755813888) = 549755813888, ceiling(549755813890, 549755813888) = 1099511627776, ceiling(-549755813890, 549755813888) = 0
+ceiling(1099511627776, 1099511627776) = 1099511627776, ceiling(1099511627778, 1099511627776) = 2199023255552, ceiling(-1099511627778, 1099511627776) = 0
+ceiling(2199023255552, 2199023255552) = 2199023255552, ceiling(2199023255554, 2199023255552) = 4398046511104, ceiling(-2199023255554, 2199023255552) = 0
+ceiling(4398046511104, 4398046511104) = 4398046511104, ceiling(4398046511106, 4398046511104) = 8796093022208, ceiling(-4398046511106, 4398046511104) = 0
+ceiling(8796093022208, 8796093022208) = 8796093022208, ceiling(8796093022210, 8796093022208) = 17592186044416, ceiling(-8796093022210, 8796093022208) = 0
+ceiling(17592186044416, 17592186044416) = 17592186044416, ceiling(17592186044418, 17592186044416) = 35184372088832, ceiling(-17592186044418, 17592186044416) = 0
+ceiling(35184372088832, 35184372088832) = 35184372088832, ceiling(35184372088834, 35184372088832) = 70368744177664, ceiling(-35184372088834, 35184372088832) = 0
+ceiling(70368744177664, 70368744177664) = 70368744177664, ceiling(70368744177666, 70368744177664) = 140737488355328, ceiling(-70368744177666, 70368744177664) = 0
+ceiling(140737488355328, 140737488355328) = 140737488355328, ceiling(140737488355330, 140737488355328) = 281474976710656, ceiling(-140737488355330, 140737488355328) = 0
+ceiling(281474976710656, 281474976710656) = 281474976710656, ceiling(281474976710658, 281474976710656) = 562949953421312, ceiling(-281474976710658, 281474976710656) = 0
+ceiling(562949953421312, 562949953421312) = 562949953421312, ceiling(562949953421314, 562949953421312) = 1125899906842624, ceiling(-562949953421314, 562949953421312) = 0
+ceiling(1125899906842624, 1125899906842624) = 1125899906842624, ceiling(1125899906842626, 1125899906842624) = 2251799813685248, ceiling(-1125899906842626, 1125899906842624) = 0
+ceiling(2251799813685248, 2251799813685248) = 2251799813685248, ceiling(2251799813685250, 2251799813685248) = 4503599627370496, ceiling(-2251799813685250, 2251799813685248) = 0
+ceiling(4503599627370496, 4503599627370496) = 4503599627370496, ceiling(4503599627370498, 4503599627370496) = 9007199254740992, ceiling(-4503599627370498, 4503599627370496) = 0
+ceiling(9007199254740992, 9007199254740992) = 9007199254740992, ceiling(9007199254740994, 9007199254740992) = 18014398509481984, ceiling(-9007199254740994, 9007199254740992) = 0
+ceiling(18014398509481984, 18014398509481984) = 18014398509481984, ceiling(18014398509481986, 18014398509481984) = 36028797018963968, ceiling(-18014398509481986, 18014398509481984) = 0
+ceiling(36028797018963968, 36028797018963968) = 36028797018963968, ceiling(36028797018963970, 36028797018963968) = 72057594037927936, ceiling(-36028797018963970, 36028797018963968) = 0
+ceiling(72057594037927936, 72057594037927936) = 72057594037927936, ceiling(72057594037927938, 72057594037927936) = 144115188075855872, ceiling(-72057594037927938, 72057594037927936) = 0
+ceiling(144115188075855872, 144115188075855872) = 144115188075855872, ceiling(144115188075855874, 144115188075855872) = 288230376151711744, ceiling(-144115188075855874, 144115188075855872) = 0
+ceiling(288230376151711744, 288230376151711744) = 288230376151711744, ceiling(288230376151711746, 288230376151711744) = 576460752303423488, ceiling(-288230376151711746, 288230376151711744) = 0
+ceiling(576460752303423488, 576460752303423488) = 576460752303423488, ceiling(576460752303423490, 576460752303423488) = 1152921504606846976, ceiling(-576460752303423490, 576460752303423488) = 0
+ceiling(1152921504606846976, 1152921504606846976) = 1152921504606846976, ceiling(1152921504606846978, 1152921504606846976) = 2305843009213693952, ceiling(-1152921504606846978, 1152921504606846976) = 0
+ceiling(2305843009213693952, 2305843009213693952) = 2305843009213693952, ceiling(2305843009213693954, 2305843009213693952) = 4611686018427387904, ceiling(-2305843009213693954, 2305843009213693952) = 0
+ceiling(4611686018427387904, 4611686018427387904) = 4611686018427387904, ceiling(4611686018427387906, 4611686018427387904) = -4611686018427387904, ceiling(-4611686018427387906, 4611686018427387904) = 0
+ceiling(-9223372036854775808, -9223372036854775808) = -9223372036854775808, ceiling(-9223372036854775806, -9223372036854775808) = 0, ceiling(9223372036854775806, -9223372036854775808) = 0
 
 unsigned long long int
 ceiling(1, 1) = 1, ceiling(3, 1) = 3, ceiling(18446744073709551613, 1) = 18446744073709551613
-ceiling(2, 2) = 1, ceiling(4, 2) = 2, ceiling(18446744073709551612, 2) = 9223372036854775806
-ceiling(4, 4) = 1, ceiling(6, 4) = 2, ceiling(18446744073709551610, 4) = 4611686018427387903
-ceiling(8, 8) = 1, ceiling(10, 8) = 2, ceiling(18446744073709551606, 8) = 2305843009213693951
-ceiling(16, 16) = 1, ceiling(18, 16) = 2, ceiling(18446744073709551598, 16) = 1152921504606846975
-ceiling(32, 32) = 1, ceiling(34, 32) = 2, ceiling(18446744073709551582, 32) = 576460752303423487
-ceiling(64, 64) = 1, ceiling(66, 64) = 2, ceiling(18446744073709551550, 64) = 288230376151711743
-ceiling(128, 128) = 1, ceiling(130, 128) = 2, ceiling(18446744073709551486, 128) = 144115188075855871
-ceiling(256, 256) = 1, ceiling(258, 256) = 2, ceiling(18446744073709551358, 256) = 72057594037927935
-ceiling(512, 512) = 1, ceiling(514, 512) = 2, ceiling(18446744073709551102, 512) = 36028797018963967
-ceiling(1024, 1024) = 1, ceiling(1026, 1024) = 2, ceiling(18446744073709550590, 1024) = 18014398509481983
-ceiling(2048, 2048) = 1, ceiling(2050, 2048) = 2, ceiling(18446744073709549566, 2048) = 9007199254740991
-ceiling(4096, 4096) = 1, ceiling(4098, 4096) = 2, ceiling(18446744073709547518, 4096) = 4503599627370495
-ceiling(8192, 8192) = 1, ceiling(8194, 8192) = 2, ceiling(18446744073709543422, 8192) = 2251799813685247
-ceiling(16384, 16384) = 1, ceiling(16386, 16384) = 2, ceiling(18446744073709535230, 16384) = 1125899906842623
-ceiling(32768, 32768) = 1, ceiling(32770, 32768) = 2, ceiling(18446744073709518846, 32768) = 562949953421311
-ceiling(65536, 65536) = 1, ceiling(65538, 65536) = 2, ceiling(18446744073709486078, 65536) = 281474976710655
-ceiling(131072, 131072) = 1, ceiling(131074, 131072) = 2, ceiling(18446744073709420542, 131072) = 140737488355327
-ceiling(262144, 262144) = 1, ceiling(262146, 262144) = 2, ceiling(18446744073709289470, 262144) = 70368744177663
-ceiling(524288, 524288) = 1, ceiling(524290, 524288) = 2, ceiling(18446744073709027326, 524288) = 35184372088831
-ceiling(1048576, 1048576) = 1, ceiling(1048578, 1048576) = 2, ceiling(18446744073708503038, 1048576) = 17592186044415
-ceiling(2097152, 2097152) = 1, ceiling(2097154, 2097152) = 2, ceiling(18446744073707454462, 2097152) = 8796093022207
-ceiling(4194304, 4194304) = 1, ceiling(4194306, 4194304) = 2, ceiling(18446744073705357310, 4194304) = 4398046511103
-ceiling(8388608, 8388608) = 1, ceiling(8388610, 8388608) = 2, ceiling(18446744073701163006, 8388608) = 2199023255551
-ceiling(16777216, 16777216) = 1, ceiling(16777218, 16777216) = 2, ceiling(18446744073692774398, 16777216) = 1099511627775
-ceiling(33554432, 33554432) = 1, ceiling(33554434, 33554432) = 2, ceiling(18446744073675997182, 33554432) = 549755813887
-ceiling(67108864, 67108864) = 1, ceiling(67108866, 67108864) = 2, ceiling(18446744073642442750, 67108864) = 274877906943
-ceiling(134217728, 134217728) = 1, ceiling(134217730, 134217728) = 2, ceiling(18446744073575333886, 134217728) = 137438953471
-ceiling(268435456, 268435456) = 1, ceiling(268435458, 268435456) = 2, ceiling(18446744073441116158, 268435456) = 68719476735
-ceiling(536870912, 536870912) = 1, ceiling(536870914, 536870912) = 2, ceiling(18446744073172680702, 536870912) = 34359738367
-ceiling(1073741824, 1073741824) = 1, ceiling(1073741826, 1073741824) = 2, ceiling(18446744072635809790, 1073741824) = 17179869183
-ceiling(2147483648, 2147483648) = 1, ceiling(2147483650, 2147483648) = 2, ceiling(18446744071562067966, 2147483648) = 8589934591
-ceiling(4294967296, 4294967296) = 1, ceiling(4294967298, 4294967296) = 2, ceiling(18446744069414584318, 4294967296) = 4294967295
-ceiling(8589934592, 8589934592) = 1, ceiling(8589934594, 8589934592) = 2, ceiling(18446744065119617022, 8589934592) = 2147483647
-ceiling(17179869184, 17179869184) = 1, ceiling(17179869186, 17179869184) = 2, ceiling(18446744056529682430, 17179869184) = 1073741823
-ceiling(34359738368, 34359738368) = 1, ceiling(34359738370, 34359738368) = 2, ceiling(18446744039349813246, 34359738368) = 536870911
-ceiling(68719476736, 68719476736) = 1, ceiling(68719476738, 68719476736) = 2, ceiling(18446744004990074878, 68719476736) = 268435455
-ceiling(137438953472, 137438953472) = 1, ceiling(137438953474, 137438953472) = 2, ceiling(18446743936270598142, 137438953472) = 134217727
-ceiling(274877906944, 274877906944) = 1, ceiling(274877906946, 274877906944) = 2, ceiling(18446743798831644670, 274877906944) = 67108863
-ceiling(549755813888, 549755813888) = 1, ceiling(549755813890, 549755813888) = 2, ceiling(18446743523953737726, 549755813888) = 33554431
-ceiling(1099511627776, 1099511627776) = 1, ceiling(1099511627778, 1099511627776) = 2, ceiling(18446742974197923838, 1099511627776) = 16777215
-ceiling(2199023255552, 2199023255552) = 1, ceiling(2199023255554, 2199023255552) = 2, ceiling(18446741874686296062, 2199023255552) = 8388607
-ceiling(4398046511104, 4398046511104) = 1, ceiling(4398046511106, 4398046511104) = 2, ceiling(18446739675663040510, 4398046511104) = 4194303
-ceiling(8796093022208, 8796093022208) = 1, ceiling(8796093022210, 8796093022208) = 2, ceiling(18446735277616529406, 8796093022208) = 2097151
-ceiling(17592186044416, 17592186044416) = 1, ceiling(17592186044418, 17592186044416) = 2, ceiling(18446726481523507198, 17592186044416) = 1048575
-ceiling(35184372088832, 35184372088832) = 1, ceiling(35184372088834, 35184372088832) = 2, ceiling(18446708889337462782, 35184372088832) = 524287
-ceiling(70368744177664, 70368744177664) = 1, ceiling(70368744177666, 70368744177664) = 2, ceiling(18446673704965373950, 70368744177664) = 262143
-ceiling(140737488355328, 140737488355328) = 1, ceiling(140737488355330, 140737488355328) = 2, ceiling(18446603336221196286, 140737488355328) = 131071
-ceiling(281474976710656, 281474976710656) = 1, ceiling(281474976710658, 281474976710656) = 2, ceiling(18446462598732840958, 281474976710656) = 65535
-ceiling(562949953421312, 562949953421312) = 1, ceiling(562949953421314, 562949953421312) = 2, ceiling(18446181123756130302, 562949953421312) = 32767
-ceiling(1125899906842624, 1125899906842624) = 1, ceiling(1125899906842626, 1125899906842624) = 2, ceiling(18445618173802708990, 1125899906842624) = 16383
-ceiling(2251799813685248, 2251799813685248) = 1, ceiling(2251799813685250, 2251799813685248) = 2, ceiling(18444492273895866366, 2251799813685248) = 8191
-ceiling(4503599627370496, 4503599627370496) = 1, ceiling(4503599627370498, 4503599627370496) = 2, ceiling(18442240474082181118, 4503599627370496) = 4095
-ceiling(9007199254740992, 9007199254740992) = 1, ceiling(9007199254740994, 9007199254740992) = 2, ceiling(18437736874454810622, 9007199254740992) = 2047
-ceiling(18014398509481984, 18014398509481984) = 1, ceiling(18014398509481986, 18014398509481984) = 2, ceiling(18428729675200069630, 18014398509481984) = 1023
-ceiling(36028797018963968, 36028797018963968) = 1, ceiling(36028797018963970, 36028797018963968) = 2, ceiling(18410715276690587646, 36028797018963968) = 511
-ceiling(72057594037927936, 72057594037927936) = 1, ceiling(72057594037927938, 72057594037927936) = 2, ceiling(18374686479671623678, 72057594037927936) = 255
-ceiling(144115188075855872, 144115188075855872) = 1, ceiling(144115188075855874, 144115188075855872) = 2, ceiling(18302628885633695742, 144115188075855872) = 127
-ceiling(288230376151711744, 288230376151711744) = 1, ceiling(288230376151711746, 288230376151711744) = 2, ceiling(18158513697557839870, 288230376151711744) = 63
-ceiling(576460752303423488, 576460752303423488) = 1, ceiling(576460752303423490, 576460752303423488) = 2, ceiling(17870283321406128126, 576460752303423488) = 31
-ceiling(1152921504606846976, 1152921504606846976) = 1, ceiling(1152921504606846978, 1152921504606846976) = 2, ceiling(17293822569102704638, 1152921504606846976) = 15
-ceiling(2305843009213693952, 2305843009213693952) = 1, ceiling(2305843009213693954, 2305843009213693952) = 2, ceiling(16140901064495857662, 2305843009213693952) = 7
-ceiling(4611686018427387904, 4611686018427387904) = 1, ceiling(4611686018427387906, 4611686018427387904) = 2, ceiling(13835058055282163710, 4611686018427387904) = 3
-ceiling(9223372036854775808, 9223372036854775808) = 1, ceiling(9223372036854775810, 9223372036854775808) = 0, ceiling(9223372036854775806, 9223372036854775808) = 1
-
+ceiling(2, 2) = 2, ceiling(4, 2) = 4, ceiling(18446744073709551612, 2) = 18446744073709551612
+ceiling(4, 4) = 4, ceiling(6, 4) = 8, ceiling(18446744073709551610, 4) = 18446744073709551612
+ceiling(8, 8) = 8, ceiling(10, 8) = 16, ceiling(18446744073709551606, 8) = 18446744073709551608
+ceiling(16, 16) = 16, ceiling(18, 16) = 32, ceiling(18446744073709551598, 16) = 18446744073709551600
+ceiling(32, 32) = 32, ceiling(34, 32) = 64, ceiling(18446744073709551582, 32) = 18446744073709551584
+ceiling(64, 64) = 64, ceiling(66, 64) = 128, ceiling(18446744073709551550, 64) = 18446744073709551552
+ceiling(128, 128) = 128, ceiling(130, 128) = 256, ceiling(18446744073709551486, 128) = 18446744073709551488
+ceiling(256, 256) = 256, ceiling(258, 256) = 512, ceiling(18446744073709551358, 256) = 18446744073709551360
+ceiling(512, 512) = 512, ceiling(514, 512) = 1024, ceiling(18446744073709551102, 512) = 18446744073709551104
+ceiling(1024, 1024) = 1024, ceiling(1026, 1024) = 2048, ceiling(18446744073709550590, 1024) = 18446744073709550592
+ceiling(2048, 2048) = 2048, ceiling(2050, 2048) = 4096, ceiling(18446744073709549566, 2048) = 18446744073709549568
+ceiling(4096, 4096) = 4096, ceiling(4098, 4096) = 8192, ceiling(18446744073709547518, 4096) = 18446744073709547520
+ceiling(8192, 8192) = 8192, ceiling(8194, 8192) = 16384, ceiling(18446744073709543422, 8192) = 18446744073709543424
+ceiling(16384, 16384) = 16384, ceiling(16386, 16384) = 32768, ceiling(18446744073709535230, 16384) = 18446744073709535232
+ceiling(32768, 32768) = 32768, ceiling(32770, 32768) = 65536, ceiling(18446744073709518846, 32768) = 18446744073709518848
+ceiling(65536, 65536) = 65536, ceiling(65538, 65536) = 131072, ceiling(18446744073709486078, 65536) = 18446744073709486080
+ceiling(131072, 131072) = 131072, ceiling(131074, 131072) = 262144, ceiling(18446744073709420542, 131072) = 18446744073709420544
+ceiling(262144, 262144) = 262144, ceiling(262146, 262144) = 524288, ceiling(18446744073709289470, 262144) = 18446744073709289472
+ceiling(524288, 524288) = 524288, ceiling(524290, 524288) = 1048576, ceiling(18446744073709027326, 524288) = 18446744073709027328
+ceiling(1048576, 1048576) = 1048576, ceiling(1048578, 1048576) = 2097152, ceiling(18446744073708503038, 1048576) = 18446744073708503040
+ceiling(2097152, 2097152) = 2097152, ceiling(2097154, 2097152) = 4194304, ceiling(18446744073707454462, 2097152) = 18446744073707454464
+ceiling(4194304, 4194304) = 4194304, ceiling(4194306, 4194304) = 8388608, ceiling(18446744073705357310, 4194304) = 18446744073705357312
+ceiling(8388608, 8388608) = 8388608, ceiling(8388610, 8388608) = 16777216, ceiling(18446744073701163006, 8388608) = 18446744073701163008
+ceiling(16777216, 16777216) = 16777216, ceiling(16777218, 16777216) = 33554432, ceiling(18446744073692774398, 16777216) = 18446744073692774400
+ceiling(33554432, 33554432) = 33554432, ceiling(33554434, 33554432) = 67108864, ceiling(18446744073675997182, 33554432) = 18446744073675997184
+ceiling(67108864, 67108864) = 67108864, ceiling(67108866, 67108864) = 134217728, ceiling(18446744073642442750, 67108864) = 18446744073642442752
+ceiling(134217728, 134217728) = 134217728, ceiling(134217730, 134217728) = 268435456, ceiling(18446744073575333886, 134217728) = 18446744073575333888
+ceiling(268435456, 268435456) = 268435456, ceiling(268435458, 268435456) = 536870912, ceiling(18446744073441116158, 268435456) = 18446744073441116160
+ceiling(536870912, 536870912) = 536870912, ceiling(536870914, 536870912) = 1073741824, ceiling(18446744073172680702, 536870912) = 18446744073172680704
+ceiling(1073741824, 1073741824) = 1073741824, ceiling(1073741826, 1073741824) = 2147483648, ceiling(18446744072635809790, 1073741824) = 18446744072635809792
+ceiling(2147483648, 2147483648) = 2147483648, ceiling(2147483650, 2147483648) = 4294967296, ceiling(18446744071562067966, 2147483648) = 18446744071562067968
+ceiling(4294967296, 4294967296) = 4294967296, ceiling(4294967298, 4294967296) = 8589934592, ceiling(18446744069414584318, 4294967296) = 18446744069414584320
+ceiling(8589934592, 8589934592) = 8589934592, ceiling(8589934594, 8589934592) = 17179869184, ceiling(18446744065119617022, 8589934592) = 18446744065119617024
+ceiling(17179869184, 17179869184) = 17179869184, ceiling(17179869186, 17179869184) = 34359738368, ceiling(18446744056529682430, 17179869184) = 18446744056529682432
+ceiling(34359738368, 34359738368) = 34359738368, ceiling(34359738370, 34359738368) = 68719476736, ceiling(18446744039349813246, 34359738368) = 18446744039349813248
+ceiling(68719476736, 68719476736) = 68719476736, ceiling(68719476738, 68719476736) = 137438953472, ceiling(18446744004990074878, 68719476736) = 18446744004990074880
+ceiling(137438953472, 137438953472) = 137438953472, ceiling(137438953474, 137438953472) = 274877906944, ceiling(18446743936270598142, 137438953472) = 18446743936270598144
+ceiling(274877906944, 274877906944) = 274877906944, ceiling(274877906946, 274877906944) = 549755813888, ceiling(18446743798831644670, 274877906944) = 18446743798831644672
+ceiling(549755813888, 549755813888) = 549755813888, ceiling(549755813890, 549755813888) = 1099511627776, ceiling(18446743523953737726, 549755813888) = 18446743523953737728
+ceiling(1099511627776, 1099511627776) = 1099511627776, ceiling(1099511627778, 1099511627776) = 2199023255552, ceiling(18446742974197923838, 1099511627776) = 18446742974197923840
+ceiling(2199023255552, 2199023255552) = 2199023255552, ceiling(2199023255554, 2199023255552) = 4398046511104, ceiling(18446741874686296062, 2199023255552) = 18446741874686296064
+ceiling(4398046511104, 4398046511104) = 4398046511104, ceiling(4398046511106, 4398046511104) = 8796093022208, ceiling(18446739675663040510, 4398046511104) = 18446739675663040512
+ceiling(8796093022208, 8796093022208) = 8796093022208, ceiling(8796093022210, 8796093022208) = 17592186044416, ceiling(18446735277616529406, 8796093022208) = 18446735277616529408
+ceiling(17592186044416, 17592186044416) = 17592186044416, ceiling(17592186044418, 17592186044416) = 35184372088832, ceiling(18446726481523507198, 17592186044416) = 18446726481523507200
+ceiling(35184372088832, 35184372088832) = 35184372088832, ceiling(35184372088834, 35184372088832) = 70368744177664, ceiling(18446708889337462782, 35184372088832) = 18446708889337462784
+ceiling(70368744177664, 70368744177664) = 70368744177664, ceiling(70368744177666, 70368744177664) = 140737488355328, ceiling(18446673704965373950, 70368744177664) = 18446673704965373952
+ceiling(140737488355328, 140737488355328) = 140737488355328, ceiling(140737488355330, 140737488355328) = 281474976710656, ceiling(18446603336221196286, 140737488355328) = 18446603336221196288
+ceiling(281474976710656, 281474976710656) = 281474976710656, ceiling(281474976710658, 281474976710656) = 562949953421312, ceiling(18446462598732840958, 281474976710656) = 18446462598732840960
+ceiling(562949953421312, 562949953421312) = 562949953421312, ceiling(562949953421314, 562949953421312) = 1125899906842624, ceiling(18446181123756130302, 562949953421312) = 18446181123756130304
+ceiling(1125899906842624, 1125899906842624) = 1125899906842624, ceiling(1125899906842626, 1125899906842624) = 2251799813685248, ceiling(18445618173802708990, 1125899906842624) = 18445618173802708992
+ceiling(2251799813685248, 2251799813685248) = 2251799813685248, ceiling(2251799813685250, 2251799813685248) = 4503599627370496, ceiling(18444492273895866366, 2251799813685248) = 18444492273895866368
+ceiling(4503599627370496, 4503599627370496) = 4503599627370496, ceiling(4503599627370498, 4503599627370496) = 9007199254740992, ceiling(18442240474082181118, 4503599627370496) = 18442240474082181120
+ceiling(9007199254740992, 9007199254740992) = 9007199254740992, ceiling(9007199254740994, 9007199254740992) = 18014398509481984, ceiling(18437736874454810622, 9007199254740992) = 18437736874454810624
+ceiling(18014398509481984, 18014398509481984) = 18014398509481984, ceiling(18014398509481986, 18014398509481984) = 36028797018963968, ceiling(18428729675200069630, 18014398509481984) = 18428729675200069632
+ceiling(36028797018963968, 36028797018963968) = 36028797018963968, ceiling(36028797018963970, 36028797018963968) = 72057594037927936, ceiling(18410715276690587646, 36028797018963968) = 18410715276690587648
+ceiling(72057594037927936, 72057594037927936) = 72057594037927936, ceiling(72057594037927938, 72057594037927936) = 144115188075855872, ceiling(18374686479671623678, 72057594037927936) = 18374686479671623680
+ceiling(144115188075855872, 144115188075855872) = 144115188075855872, ceiling(144115188075855874, 144115188075855872) = 288230376151711744, ceiling(18302628885633695742, 144115188075855872) = 18302628885633695744
+ceiling(288230376151711744, 288230376151711744) = 288230376151711744, ceiling(288230376151711746, 288230376151711744) = 576460752303423488, ceiling(18158513697557839870, 288230376151711744) = 18158513697557839872
+ceiling(576460752303423488, 576460752303423488) = 576460752303423488, ceiling(576460752303423490, 576460752303423488) = 1152921504606846976, ceiling(17870283321406128126, 576460752303423488) = 17870283321406128128
+ceiling(1152921504606846976, 1152921504606846976) = 1152921504606846976, ceiling(1152921504606846978, 1152921504606846976) = 2305843009213693952, ceiling(17293822569102704638, 1152921504606846976) = 17293822569102704640
+ceiling(2305843009213693952, 2305843009213693952) = 2305843009213693952, ceiling(2305843009213693954, 2305843009213693952) = 4611686018427387904, ceiling(16140901064495857662, 2305843009213693952) = 16140901064495857664
+ceiling(4611686018427387904, 4611686018427387904) = 4611686018427387904, ceiling(4611686018427387906, 4611686018427387904) = 9223372036854775808, ceiling(13835058055282163710, 4611686018427387904) = 13835058055282163712
+ceiling(9223372036854775808, 9223372036854775808) = 9223372036854775808, ceiling(9223372036854775810, 9223372036854775808) = 0, ceiling(9223372036854775806, 9223372036854775808) = 9223372036854775808
+
Index: tests/bitmanip3.cfa
===================================================================
--- tests/bitmanip3.cfa	(revision dcf1979e45c41e88b207d2bab3d2cca8bc5a10d8)
+++ tests/bitmanip3.cfa	(revision e2702fd7b3981fd9a1de288a52f59a502b874720)
@@ -10,6 +10,6 @@
 // Created On       : Tue Apr  7 21:22:59 2020
 // Last Modified By : Peter A. Buhr
-// Last Modified On : Tue Apr 21 16:25:09 2020
-// Update Count     : 61
+// Last Modified On : Mon Aug 10 09:31:35 2020
+// Update Count     : 65
 // 
 
@@ -134,7 +134,7 @@
 
 	printf( "signed char\n" );
-	sc = 0;
-	scr1 = floor2( sc, sc ), scr2 = floor2( sc + 2hh, sc ), scr3 = floor2( -sc - 2hh, sc );
-	printf( "floor2(%hhd, %hhd) = %hhd, floor2(%hhd, %hhd) = %hhd, floor2(%hhd, %hhd) = %hhd\n", sc, sc, scr1, sc + 2hh, sc, scr2, -sc - 2hh, sc, scr3 );
+//	sc = 0;
+//	scr1 = floor2( sc, sc ), scr2 = floor2( sc + 2hh, sc ), scr3 = floor2( -sc - 2hh, sc );
+//	printf( "floor2(%hhd, %hhd) = %hhd, floor2(%hhd, %hhd) = %hhd, floor2(%hhd, %hhd) = %hhd\n", sc, sc, scr1, sc + 2hh, sc, scr2, -sc - 2hh, sc, scr3 );
 	for ( sc = 1; sc != 0; sc <<= 1 ) {
 		scr1 = floor2( sc, sc ); scr2 = floor2( sc + 2hh, sc ); scr3 = floor2( -sc - 2hh, sc );
@@ -144,7 +144,7 @@
 
 	printf( "unsigned char\n" );
-	uc = 0;
-	ucr1 = floor2( uc, uc ), ucr2 = floor2( uc + 2hh, uc ), ucr3 = floor2( -uc - 2hh, uc );
-	printf( "floor2(%hhu, %hhu) = %hhu, floor2(%hhu, %hhu) = %hhu, floor2(%hhu, %hhu) = %hhu\n", uc, uc, ucr1, uc + 2uhh, uc, ucr2, -uc - 2uhh, uc, ucr3 );
+//	uc = 0;
+//	ucr1 = floor2( uc, uc ), ucr2 = floor2( uc + 2hh, uc ), ucr3 = floor2( -uc - 2hh, uc );
+//	printf( "floor2(%hhu, %hhu) = %hhu, floor2(%hhu, %hhu) = %hhu, floor2(%hhu, %hhu) = %hhu\n", uc, uc, ucr1, uc + 2uhh, uc, ucr2, -uc - 2uhh, uc, ucr3 );
 	for ( uc = 1; uc != 0; uc <<= 1 ) {
 		ucr1 = floor2( uc, uc ); ucr2 = floor2( uc + 2hh, uc ); ucr3 = floor2( -uc - 2hh, uc );
@@ -154,7 +154,7 @@
 
 	printf( "short int\n" );
-	si = 0;
-	sir1 = floor2( si, si ), sir2 = floor2( si + 2hh, si ), sir3 = floor2( -si - 2hh, si );
-	printf( "floor2(%hd, %hd) = %hd, floor2(%hd, %hd) = %hd, floor2(%hd, %hd) = %hd\n", si, si, sir1, si + 2h, si, sir2, -si - 2h, si, sir3 );
+//	si = 0;
+//	sir1 = floor2( si, si ), sir2 = floor2( si + 2hh, si ), sir3 = floor2( -si - 2hh, si );
+//	printf( "floor2(%hd, %hd) = %hd, floor2(%hd, %hd) = %hd, floor2(%hd, %hd) = %hd\n", si, si, sir1, si + 2h, si, sir2, -si - 2h, si, sir3 );
 	for ( si = 1; si != 0; si <<= 1 ) {
 		sir1 = floor2( si, si ); sir2 = floor2( si + 2hh, si ); sir3 = floor2( -si - 2hh, si );
@@ -164,7 +164,7 @@
 
 	printf( "unsigned short int\n" );
-	usi = 0;
-	usir1 = floor2( usi, usi ), usir2 = floor2( usi + 2hh, usi ), usir3 = floor2( -usi - 2hh, usi );
-	printf( "floor2(%hu, %hu) = %hu, floor2(%hu, %hu) = %hu, floor2(%hu, %hu) = %hu\n", usi, usi, usir1, usi + 2uh, usi, usir2, -usi - 2uh, usi, usir3 );
+//	usi = 0;
+//	usir1 = floor2( usi, usi ), usir2 = floor2( usi + 2hh, usi ), usir3 = floor2( -usi - 2hh, usi );
+//	printf( "floor2(%hu, %hu) = %hu, floor2(%hu, %hu) = %hu, floor2(%hu, %hu) = %hu\n", usi, usi, usir1, usi + 2uh, usi, usir2, -usi - 2uh, usi, usir3 );
 	for ( usi = 1; usi != 0; usi <<= 1 ) {
 		usir1 = floor2( usi, usi ); usir2 = floor2( usi + 2hh, usi ); usir3 = floor2( -usi - 2hh, usi );
@@ -174,7 +174,7 @@
 
 	printf( "int\n" );
-	i = 0;
-	ir1 = floor2( i, i ), ir2 = floor2( i + 2hh, i ), ir3 = floor2( -i - 2hh, i );
-	printf( "floor2(%d, %d) = %d, floor2(%d, %d) = %d, floor2(%d, %d) = %d\n", i, i, ir1, i + 2h, i, ir2, -i - 2h, i, ir3 );
+//	i = 0;
+//	ir1 = floor2( i, i ), ir2 = floor2( i + 2hh, i ), ir3 = floor2( -i - 2hh, i );
+//	printf( "floor2(%d, %d) = %d, floor2(%d, %d) = %d, floor2(%d, %d) = %d\n", i, i, ir1, i + 2h, i, ir2, -i - 2h, i, ir3 );
 	for ( i = 1; i != 0; i <<= 1 ) {
 		ir1 = floor2( i, i ); ir2 = floor2( i + 2hh, i ); ir3 = floor2( -i - 2hh, i );
@@ -184,7 +184,7 @@
 
 	printf( "unsigned int\n" );
-	ui = 0;
-	uir1 = floor2( ui, ui ), uir2 = floor2( ui + 2hh, ui ), uir3 = floor2( -ui - 2hh, ui );
-	printf( "floor2(%u, %u) = %u, floor2(%u, %u) = %u, floor2(%u, %u) = %u\n", ui, ui, uir1, ui + 2h, ui, uir2, -ui - 2h, ui, uir3 );
+//	ui = 0;
+//	uir1 = floor2( ui, ui ), uir2 = floor2( ui + 2hh, ui ), uir3 = floor2( -ui - 2hh, ui );
+//	printf( "floor2(%u, %u) = %u, floor2(%u, %u) = %u, floor2(%u, %u) = %u\n", ui, ui, uir1, ui + 2h, ui, uir2, -ui - 2h, ui, uir3 );
 	for ( ui = 1; ui != 0; ui <<= 1 ) {
 		uir1 = floor2( ui, ui ); uir2 = floor2( ui + 2hh, ui ); uir3 = floor2( -ui - 2hh, ui );
@@ -194,7 +194,7 @@
 
 	printf( "long int\n" );
-	li = 0;
-	lir1 = floor2( li, li ), lir2 = floor2( li + 2hh, li ), lir3 = floor2( -li - 2hh, li );
-	printf( "floor2(%ld, %ld) = %ld, floor2(%ld, %ld) = %ld, floor2(%ld, %ld) = %ld\n", li, li, lir1, li + 2h, li, lir2, -li - 2h, li, lir3 );
+//	li = 0;
+//	lir1 = floor2( li, li ), lir2 = floor2( li + 2hh, li ), lir3 = floor2( -li - 2hh, li );
+//	printf( "floor2(%ld, %ld) = %ld, floor2(%ld, %ld) = %ld, floor2(%ld, %ld) = %ld\n", li, li, lir1, li + 2h, li, lir2, -li - 2h, li, lir3 );
 	for ( li = 1; li != 0; li <<= 1 ) {
 		lir1 = floor2( li, li ); lir2 = floor2( li + 2hh, li ); lir3 = floor2( -li - 2hh, li );
@@ -204,7 +204,7 @@
 
 	printf( "unsigned long int\n" );
-	uli = 0;
-	ulir1 = floor2( uli, uli ), ulir2 = floor2( uli + 2hh, uli ), ulir3 = floor2( -uli - 2hh, uli );
-	printf( "floor2(%lu, %lu) = %lu, floor2(%lu, %lu) = %lu, floor2(%lu, %lu) = %lu\n", uli, uli, ulir1, uli + 2h, uli, ulir2, -uli - 2h, uli, ulir3 );
+//	uli = 0;
+//	ulir1 = floor2( uli, uli ), ulir2 = floor2( uli + 2hh, uli ), ulir3 = floor2( -uli - 2hh, uli );
+//	printf( "floor2(%lu, %lu) = %lu, floor2(%lu, %lu) = %lu, floor2(%lu, %lu) = %lu\n", uli, uli, ulir1, uli + 2h, uli, ulir2, -uli - 2h, uli, ulir3 );
 	for ( uli = 1; uli != 0; uli <<= 1 ) {
 		ulir1 = floor2( uli, uli ); ulir2 = floor2( uli + 2hh, uli ); ulir3 = floor2( -uli - 2hh, uli );
@@ -214,7 +214,7 @@
 
 	printf( "long long int\n" );
-	lli = 0;
-	llir1 = floor2( lli, lli ), llir2 = floor2( lli + 2hh, lli ), llir3 = floor2( -lli - 2hh, lli );
-	printf( "floor2(%lld, %lld) = %lld, floor2(%lld, %lld) = %lld, floor2(%lld, %lld) = %lld\n", lli, lli, llir1, lli + 2h, lli, llir2, -lli - 2h, lli, llir3 );
+//	lli = 0;
+//	llir1 = floor2( lli, lli ), llir2 = floor2( lli + 2hh, lli ), llir3 = floor2( -lli - 2hh, lli );
+//	printf( "floor2(%lld, %lld) = %lld, floor2(%lld, %lld) = %lld, floor2(%lld, %lld) = %lld\n", lli, lli, llir1, lli + 2h, lli, llir2, -lli - 2h, lli, llir3 );
 	for ( lli = 1; lli != 0; lli <<= 1 ) {
 		llir1 = floor2( lli, lli ); llir2 = floor2( lli + 2hh, lli ); llir3 = floor2( -lli - 2hh, lli );
@@ -224,7 +224,7 @@
 
 	printf( "unsigned long long int\n" );
-	ulli = 0;
-	ullir1 = floor2( ulli, ulli ), ullir2 = floor2( ulli + 2hh, ulli ), ullir3 = floor2( -ulli - 2hh, ulli );
-	printf( "floor2(%llu, %llu) = %llu, floor2(%llu, %llu) = %llu, floor2(%llu, %llu) = %llu\n", ulli, ulli, ullir1, ulli + 2h, ulli, ullir2, -ulli - 2h, ulli, ullir3 );
+//	ulli = 0;
+//	ullir1 = floor2( ulli, ulli ), ullir2 = floor2( ulli + 2hh, ulli ), ullir3 = floor2( -ulli - 2hh, ulli );
+//	printf( "floor2(%llu, %llu) = %llu, floor2(%llu, %llu) = %llu, floor2(%llu, %llu) = %llu\n", ulli, ulli, ullir1, ulli + 2h, ulli, ullir2, -ulli - 2h, ulli, ullir3 );
 	for ( ulli = 1; ulli != 0; ulli <<= 1 ) {
 		ullir1 = floor2( ulli, ulli ); ullir2 = floor2( ulli + 2hh, ulli ); ullir3 = floor2( -ulli - 2hh, ulli );
@@ -312,7 +312,7 @@
 
 	printf( "signed char\n" );
-	sc = 0;
-	scr1 = ceiling2( sc, sc ), scr2 = ceiling2( sc + 2hh, sc ), scr3 = ceiling2( -sc - 2hh, sc );
-	printf( "ceiling2(%hhd, %hhd) = %hhd, ceiling2(%hhd, %hhd) = %hhd, ceiling2(%hhd, %hhd) = %hhd\n", sc, sc, scr1, sc + 2hh, sc, scr2, -sc - 2hh, sc, scr3 );
+//	sc = 0;
+//	scr1 = ceiling2( sc, sc ), scr2 = ceiling2( sc + 2hh, sc ), scr3 = ceiling2( -sc - 2hh, sc );
+//	printf( "ceiling2(%hhd, %hhd) = %hhd, ceiling2(%hhd, %hhd) = %hhd, ceiling2(%hhd, %hhd) = %hhd\n", sc, sc, scr1, sc + 2hh, sc, scr2, -sc - 2hh, sc, scr3 );
 	for ( sc = 1; sc != 0; sc <<= 1 ) {
 		scr1 = ceiling2( sc, sc ); scr2 = ceiling2( sc + 2hh, sc ); scr3 = ceiling2( -sc - 2hh, sc );
@@ -322,7 +322,7 @@
 
 	printf( "unsigned char\n" );
-	uc = 0;
-	ucr1 = ceiling2( uc, uc ), ucr2 = ceiling2( uc + 2hh, uc ), ucr3 = ceiling2( -uc - 2hh, uc );
-	printf( "ceiling2(%hhu, %hhu) = %hhu, ceiling2(%hhu, %hhu) = %hhu, ceiling2(%hhu, %hhu) = %hhu\n", uc, uc, ucr1, uc + 2uhh, uc, ucr2, -uc - 2uhh, uc, ucr3 );
+//	uc = 0;
+//	ucr1 = ceiling2( uc, uc ), ucr2 = ceiling2( uc + 2hh, uc ), ucr3 = ceiling2( -uc - 2hh, uc );
+//	printf( "ceiling2(%hhu, %hhu) = %hhu, ceiling2(%hhu, %hhu) = %hhu, ceiling2(%hhu, %hhu) = %hhu\n", uc, uc, ucr1, uc + 2uhh, uc, ucr2, -uc - 2uhh, uc, ucr3 );
 	for ( uc = 1; uc != 0; uc <<= 1 ) {
 		ucr1 = ceiling2( uc, uc ); ucr2 = ceiling2( uc + 2hh, uc ); ucr3 = ceiling2( -uc - 2hh, uc );
@@ -332,7 +332,7 @@
 
 	printf( "short int\n" );
-	si = 0;
-	sir1 = ceiling2( si, si ), sir2 = ceiling2( si + 2hh, si ), sir3 = ceiling2( -si - 2hh, si );
-	printf( "ceiling2(%hd, %hd) = %hd, ceiling2(%hd, %hd) = %hd, ceiling2(%hd, %hd) = %hd\n", si, si, sir1, si + 2h, si, sir2, -si - 2h, si, sir3 );
+//	si = 0;
+//	sir1 = ceiling2( si, si ), sir2 = ceiling2( si + 2hh, si ), sir3 = ceiling2( -si - 2hh, si );
+//	printf( "ceiling2(%hd, %hd) = %hd, ceiling2(%hd, %hd) = %hd, ceiling2(%hd, %hd) = %hd\n", si, si, sir1, si + 2h, si, sir2, -si - 2h, si, sir3 );
 	for ( si = 1; si != 0; si <<= 1 ) {
 		sir1 = ceiling2( si, si ); sir2 = ceiling2( si + 2hh, si ); sir3 = ceiling2( -si - 2hh, si );
@@ -342,7 +342,7 @@
 
 	printf( "unsigned short int\n" );
-	usi = 0;
-	usir1 = ceiling2( usi, usi ), usir2 = ceiling2( usi + 2hh, usi ), usir3 = ceiling2( -usi - 2hh, usi );
-	printf( "ceiling2(%hu, %hu) = %hu, ceiling2(%hu, %hu) = %hu, ceiling2(%hu, %hu) = %hu\n", usi, usi, usir1, usi + 2uh, usi, usir2, -usi - 2uh, usi, usir3 );
+//	usi = 0;
+//	usir1 = ceiling2( usi, usi ), usir2 = ceiling2( usi + 2hh, usi ), usir3 = ceiling2( -usi - 2hh, usi );
+//	printf( "ceiling2(%hu, %hu) = %hu, ceiling2(%hu, %hu) = %hu, ceiling2(%hu, %hu) = %hu\n", usi, usi, usir1, usi + 2uh, usi, usir2, -usi - 2uh, usi, usir3 );
 	for ( usi = 1; usi != 0; usi <<= 1 ) {
 		usir1 = ceiling2( usi, usi ); usir2 = ceiling2( usi + 2hh, usi ); usir3 = ceiling2( -usi - 2hh, usi );
@@ -352,7 +352,7 @@
 
 	printf( "int\n" );
-	i = 0;
-	ir1 = ceiling2( i, i ), ir2 = ceiling2( i + 2hh, i ), ir3 = ceiling2( -i - 2hh, i );
-	printf( "ceiling2(%d, %d) = %d, ceiling2(%d, %d) = %d, ceiling2(%d, %d) = %d\n", i, i, ir1, i + 2h, i, ir2, -i - 2h, i, ir3 );
+//	i = 0;
+//	ir1 = ceiling2( i, i ), ir2 = ceiling2( i + 2hh, i ), ir3 = ceiling2( -i - 2hh, i );
+//	printf( "ceiling2(%d, %d) = %d, ceiling2(%d, %d) = %d, ceiling2(%d, %d) = %d\n", i, i, ir1, i + 2h, i, ir2, -i - 2h, i, ir3 );
 	for ( i = 1; i != 0; i <<= 1 ) {
 		ir1 = ceiling2( i, i ); ir2 = ceiling2( i + 2hh, i ); ir3 = ceiling2( -i - 2hh, i );
@@ -362,7 +362,7 @@
 
 	printf( "unsigned int\n" );
-	ui = 0;
-	uir1 = ceiling2( ui, ui ), uir2 = ceiling2( ui + 2hh, ui ), uir3 = ceiling2( -ui - 2hh, ui );
-	printf( "ceiling2(%u, %u) = %u, ceiling2(%u, %u) = %u, ceiling2(%u, %u) = %u\n", ui, ui, uir1, ui + 2h, ui, uir2, -ui - 2h, ui, uir3 );
+//	ui = 0;
+//	uir1 = ceiling2( ui, ui ), uir2 = ceiling2( ui + 2hh, ui ), uir3 = ceiling2( -ui - 2hh, ui );
+//	printf( "ceiling2(%u, %u) = %u, ceiling2(%u, %u) = %u, ceiling2(%u, %u) = %u\n", ui, ui, uir1, ui + 2h, ui, uir2, -ui - 2h, ui, uir3 );
 	for ( ui = 1; ui != 0; ui <<= 1 ) {
 		uir1 = ceiling2( ui, ui ); uir2 = ceiling2( ui + 2hh, ui ); uir3 = ceiling2( -ui - 2hh, ui );
@@ -372,7 +372,7 @@
 
 	printf( "long int\n" );
-	li = 0;
-	lir1 = ceiling2( li, li ), lir2 = ceiling2( li + 2hh, li ), lir3 = ceiling2( -li - 2hh, li );
-	printf( "ceiling2(%ld, %ld) = %ld, ceiling2(%ld, %ld) = %ld, ceiling2(%ld, %ld) = %ld\n", li, li, lir1, li + 2h, li, lir2, -li - 2h, li, lir3 );
+//	li = 0;
+//	lir1 = ceiling2( li, li ), lir2 = ceiling2( li + 2hh, li ), lir3 = ceiling2( -li - 2hh, li );
+//	printf( "ceiling2(%ld, %ld) = %ld, ceiling2(%ld, %ld) = %ld, ceiling2(%ld, %ld) = %ld\n", li, li, lir1, li + 2h, li, lir2, -li - 2h, li, lir3 );
 	for ( li = 1; li != 0; li <<= 1 ) {
 		lir1 = ceiling2( li, li ); lir2 = ceiling2( li + 2hh, li ); lir3 = ceiling2( -li - 2hh, li );
@@ -382,7 +382,7 @@
 
 	printf( "unsigned long int\n" );
-	uli = 0;
-	ulir1 = ceiling2( uli, uli ), ulir2 = ceiling2( uli + 2hh, uli ), ulir3 = ceiling2( -uli - 2hh, uli );
-	printf( "ceiling2(%lu, %lu) = %lu, ceiling2(%lu, %lu) = %lu, ceiling2(%lu, %lu) = %lu\n", uli, uli, ulir1, uli + 2h, uli, ulir2, -uli - 2h, uli, ulir3 );
+//	uli = 0;
+//	ulir1 = ceiling2( uli, uli ), ulir2 = ceiling2( uli + 2hh, uli ), ulir3 = ceiling2( -uli - 2hh, uli );
+//	printf( "ceiling2(%lu, %lu) = %lu, ceiling2(%lu, %lu) = %lu, ceiling2(%lu, %lu) = %lu\n", uli, uli, ulir1, uli + 2h, uli, ulir2, -uli - 2h, uli, ulir3 );
 	for ( uli = 1; uli != 0; uli <<= 1 ) {
 		ulir1 = ceiling2( uli, uli ); ulir2 = ceiling2( uli + 2hh, uli ); ulir3 = ceiling2( -uli - 2hh, uli );
@@ -392,7 +392,7 @@
 
 	printf( "long long int\n" );
-	lli = 0;
-	llir1 = ceiling2( lli, lli ), llir2 = ceiling2( lli + 2hh, lli ), llir3 = ceiling2( -lli - 2hh, lli );
-	printf( "ceiling2(%lld, %lld) = %lld, ceiling2(%lld, %lld) = %lld, ceiling2(%lld, %lld) = %lld\n", lli, lli, llir1, lli + 2h, lli, llir2, -lli - 2h, lli, llir3 );
+//	lli = 0;
+//	llir1 = ceiling2( lli, lli ), llir2 = ceiling2( lli + 2hh, lli ), llir3 = ceiling2( -lli - 2hh, lli );
+//	printf( "ceiling2(%lld, %lld) = %lld, ceiling2(%lld, %lld) = %lld, ceiling2(%lld, %lld) = %lld\n", lli, lli, llir1, lli + 2h, lli, llir2, -lli - 2h, lli, llir3 );
 	for ( lli = 1; lli != 0; lli <<= 1 ) {
 		llir1 = ceiling2( lli, lli ); llir2 = ceiling2( lli + 2hh, lli ); llir3 = ceiling2( -lli - 2hh, lli );
@@ -402,10 +402,84 @@
 
 	printf( "unsigned long long int\n" );
-	ulli = 0;
-	ullir1 = ceiling2( ulli, ulli ), ullir2 = ceiling2( ulli + 2hh, ulli ), ullir3 = ceiling2( -ulli - 2hh, ulli );
-	printf( "ceiling2(%llu, %llu) = %llu, ceiling2(%llu, %llu) = %llu, ceiling2(%llu, %llu) = %llu\n", ulli, ulli, ullir1, ulli + 2h, ulli, ullir2, -ulli - 2h, ulli, ullir3 );
+//	ulli = 0;
+//	ullir1 = ceiling2( ulli, ulli ), ullir2 = ceiling2( ulli + 2hh, ulli ), ullir3 = ceiling2( -ulli - 2hh, ulli );
+//	printf( "ceiling2(%llu, %llu) = %llu, ceiling2(%llu, %llu) = %llu, ceiling2(%llu, %llu) = %llu\n", ulli, ulli, ullir1, ulli + 2h, ulli, ullir2, -ulli - 2h, ulli, ullir3 );
 	for ( ulli = 1; ulli != 0; ulli <<= 1 ) {
 		ullir1 = ceiling2( ulli, ulli ); ullir2 = ceiling2( ulli + 2hh, ulli ); ullir3 = ceiling2( -ulli - 2hh, ulli );
 		printf( "ceiling2(%llu, %llu) = %llu, ceiling2(%llu, %llu) = %llu, ceiling2(%llu, %llu) = %llu\n", ulli, ulli, ullir1, ulli + 2h, ulli, ullir2, -ulli - 2h, ulli, ullir3 );
+	} // for
+	printf( "\n" );
+#endif // 0
+	//============================================================
+#if 1
+	sout | nl | "ceiling_div" | nl | nl;
+
+	printf( "signed char\n" );
+	for ( sc = 1; sc != 0; sc <<= 1 ) {
+		scr1 = ceiling_div( sc, sc ); scr2 = ceiling_div( sc + 2hh, sc ); scr3 = ceiling_div( -sc - 2hh, sc );
+		printf( "ceiling_div(%hhd, %hhd) = %hhd, ceiling_div(%hhd, %hhd) = %hhd, ceiling_div(%hhd, %hhd) = %hhd\n", sc, sc, scr1, sc + 2hh, sc, scr2, -sc - 2hh, sc, scr3 );
+	} // for
+	printf( "\n" );
+
+	printf( "unsigned char\n" );
+	for ( uc = 1; uc != 0; uc <<= 1 ) {
+		ucr1 = ceiling_div( uc, uc ); ucr2 = ceiling_div( uc + 2hh, uc ); ucr3 = ceiling_div( -uc - 2hh, uc );
+		printf( "ceiling_div(%hhu, %hhu) = %hhu, ceiling_div(%hhu, %hhu) = %hhu, ceiling_div(%hhu, %hhu) = %hhu\n", uc, uc, ucr1, uc + 2uhh, uc, ucr2, -uc - 2uhh, uc, ucr3 );
+	} // for
+	printf( "\n" );
+
+	printf( "short int\n" );
+	for ( si = 1; si != 0; si <<= 1 ) {
+		sir1 = ceiling_div( si, si ); sir2 = ceiling_div( si + 2hh, si ); sir3 = ceiling_div( -si - 2hh, si );
+		printf( "ceiling_div(%hd, %hd) = %hd, ceiling_div(%hd, %hd) = %hd, ceiling_div(%hd, %hd) = %hd\n", si, si, sir1, si + 2h, si, sir2, -si - 2h, si, sir3 );
+	} // for
+	printf( "\n" );
+
+	printf( "unsigned short int\n" );
+	for ( usi = 1; usi != 0; usi <<= 1 ) {
+		usir1 = ceiling_div( usi, usi ); usir2 = ceiling_div( usi + 2hh, usi ); usir3 = ceiling_div( -usi - 2hh, usi );
+		printf( "ceiling_div(%hu, %hu) = %hu, ceiling_div(%hu, %hu) = %hu, ceiling_div(%hu, %hu) = %hu\n", usi, usi, usir1, usi + 2uh, usi, usir2, -usi - 2uh, usi, usir3 );
+	} // for
+	printf( "\n" );
+
+	printf( "int\n" );
+	for ( i = 1; i != 0; i <<= 1 ) {
+		ir1 = ceiling_div( i, i ); ir2 = ceiling_div( i + 2hh, i ); ir3 = ceiling_div( -i - 2hh, i );
+		printf( "ceiling_div(%d, %d) = %d, ceiling_div(%d, %d) = %d, ceiling_div(%d, %d) = %d\n", i, i, ir1, i + 2h, i, ir2, -i - 2h, i, ir3 );
+	} // for
+	printf( "\n" );
+
+	printf( "unsigned int\n" );
+	for ( ui = 1; ui != 0; ui <<= 1 ) {
+		uir1 = ceiling_div( ui, ui ); uir2 = ceiling_div( ui + 2hh, ui ); uir3 = ceiling_div( -ui - 2hh, ui );
+		printf( "ceiling_div(%u, %u) = %u, ceiling_div(%u, %u) = %u, ceiling_div(%u, %u) = %u\n", ui, ui, uir1, ui + 2h, ui, uir2, -ui - 2h, ui, uir3 );
+	} // for
+	printf( "\n" );
+
+	printf( "long int\n" );
+	for ( li = 1; li != 0; li <<= 1 ) {
+		lir1 = ceiling_div( li, li ); lir2 = ceiling_div( li + 2hh, li ); lir3 = ceiling_div( -li - 2hh, li );
+		printf( "ceiling_div(%ld, %ld) = %ld, ceiling_div(%ld, %ld) = %ld, ceiling_div(%ld, %ld) = %ld\n", li, li, lir1, li + 2h, li, lir2, -li - 2h, li, lir3 );
+	} // for
+	printf( "\n" );
+
+	printf( "unsigned long int\n" );
+	for ( uli = 1; uli != 0; uli <<= 1 ) {
+		ulir1 = ceiling_div( uli, uli ); ulir2 = ceiling_div( uli + 2hh, uli ); ulir3 = ceiling_div( -uli - 2hh, uli );
+		printf( "ceiling_div(%lu, %lu) = %lu, ceiling_div(%lu, %lu) = %lu, ceiling_div(%lu, %lu) = %lu\n", uli, uli, ulir1, uli + 2h, uli, ulir2, -uli - 2h, uli, ulir3 );
+	} // for
+	printf( "\n" );
+
+	printf( "long long int\n" );
+	for ( lli = 1; lli != 0; lli <<= 1 ) {
+		llir1 = ceiling_div( lli, lli ); llir2 = ceiling_div( lli + 2hh, lli ); llir3 = ceiling_div( -lli - 2hh, lli );
+		printf( "ceiling_div(%lld, %lld) = %lld, ceiling_div(%lld, %lld) = %lld, ceiling_div(%lld, %lld) = %lld\n", lli, lli, llir1, lli + 2h, lli, llir2, -lli - 2h, lli, llir3 );
+	} // for
+	printf( "\n" );
+
+	printf( "unsigned long long int\n" );
+	for ( ulli = 1; ulli != 0; ulli <<= 1 ) {
+		ullir1 = ceiling_div( ulli, ulli ); ullir2 = ceiling_div( ulli + 2hh, ulli ); ullir3 = ceiling_div( -ulli - 2hh, ulli );
+		printf( "ceiling_div(%llu, %llu) = %llu, ceiling_div(%llu, %llu) = %llu, ceiling_div(%llu, %llu) = %llu\n", ulli, ulli, ullir1, ulli + 2h, ulli, ullir2, -ulli - 2h, ulli, ullir3 );
 	} // for
 	printf( "\n" );
