| 1 | //                               -*- Mode: C -*- 
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| 2 | // 
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| 3 | // Cforall Version 1.0.0 Copyright (C) 2020 University of Waterloo
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| 4 | // 
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| 5 | // The contents of this file are covered under the licence agreement in the
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| 6 | // file "LICENCE" distributed with Cforall.
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| 7 | //
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| 8 | // bitmanip.hfa -- 
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| 9 | // 
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| 10 | // Author           : Peter A. Buhr
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| 11 | // Created On       : Sat Mar 14 18:12:27 2020
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| 12 | // Last Modified By : Peter A. Buhr
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| 13 | // Last Modified On : Sun Apr 19 22:29:58 2020
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| 14 | // Update Count     : 121
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| 15 | // 
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| 16 | 
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| 17 | #pragma once
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| 18 | 
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| 19 | // Reference: Bit Twiddling Hacks: http://graphics.stanford.edu/%7Eseander/bithacks.html#CountBitsSetNaive
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| 20 | 
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| 21 | // Bits are numbered 1-N.
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| 22 | 
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| 23 | //#include <assert.h>
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| 24 | 
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| 25 | #define __bitsizeof( n ) (sizeof(n) * __CHAR_BIT__)
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| 26 | 
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| 27 | static inline {
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| 28 |         // Count leading 0 bits.
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| 29 |         unsigned int leading0s( unsigned char n ) { return n != 0 ? __builtin_clz( n ) - (__bitsizeof(unsigned int) - __bitsizeof(n)) : __bitsizeof(n); }
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| 30 |         unsigned int leading0s( unsigned short int n ) { return n != 0 ? __builtin_clz( n ) - (__bitsizeof(unsigned int) - __bitsizeof(n)) : __bitsizeof(n); }
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| 31 |         unsigned int leading0s( unsigned int n ) { return n != 0 ? __builtin_clz( n ) : __bitsizeof(n); }
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| 32 |         unsigned int leading0s( unsigned long int n ) { return n != 0 ? __builtin_clzl( n ) : __bitsizeof(n); }
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| 33 |         unsigned int leading0s( unsigned long long int n ) { return n != 0 ? __builtin_clzll( n ) : __bitsizeof(n); }
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| 34 | 
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| 35 |         // Count trailing 0 bits.
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| 36 |         unsigned int trailing0s( unsigned char n ) { return n != 0 ? __builtin_ctz( n ) : __bitsizeof(n); }
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| 37 |         unsigned int trailing0s( unsigned short int n ) { return n != 0 ? __builtin_ctz( n ) : __bitsizeof(n); }
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| 38 |         unsigned int trailing0s( unsigned int n ) { return n != 0 ? __builtin_ctz( n ) : __bitsizeof(n); }
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| 39 |         unsigned int trailing0s( unsigned long int n ) { return n != 0 ? __builtin_ctzl( n ) : __bitsizeof(n); }
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| 40 |         unsigned int trailing0s( unsigned long long int n ) { return n != 0 ? __builtin_ctzll( n ) : __bitsizeof(n); }
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| 41 | 
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| 42 |         // Count all 1 bits.
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| 43 |         unsigned int all1s( unsigned char n ) { return __builtin_popcount( n ); }
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| 44 |         unsigned int all1s( unsigned short int n ) { return __builtin_popcount( n ); }
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| 45 |         unsigned int all1s( unsigned int n ) { return __builtin_popcount( n ); }
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| 46 |         unsigned int all1s( unsigned long int n ) { return __builtin_popcountl( n ); }
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| 47 |         unsigned int all1s( unsigned long long int n ) { return __builtin_popcountll( n ); }
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| 48 | 
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| 49 |         // Count all 0 bits.
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| 50 |         unsigned int all0s( unsigned char n ) { return __bitsizeof(n) - __builtin_popcount( n ); }
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| 51 |         unsigned int all0s( unsigned short int n ) { return __bitsizeof(n) - __builtin_popcount( n ); }
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| 52 |         unsigned int all0s( unsigned int n ) { return __bitsizeof(n) - __builtin_popcount( n ); }
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| 53 |         unsigned int all0s( unsigned long int n ) { return __bitsizeof(n) - __builtin_popcountl( n ); }
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| 54 |         unsigned int all0s( unsigned long long int n ) { return __bitsizeof(n) - __builtin_popcountll( n ); }
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| 55 | 
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| 56 |         // Find least significiant zero bit. (ffs)
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| 57 |         unsigned int low0( unsigned char n ) { return __builtin_ffs( (typeof(n))~n ); }
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| 58 |         unsigned int low0( unsigned short int n ) { return __builtin_ffs( (typeof(n))~n ); }
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| 59 |         unsigned int low0( unsigned int n ) { return __builtin_ffs( ~n ); }
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| 60 |         unsigned int low0( unsigned long int n ) { return __builtin_ffsl( ~n ); }
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| 61 |         unsigned int low0( unsigned long long int n ) { return __builtin_ffsll( ~n ); }
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| 62 | 
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| 63 |         // Find least significiant one bit.
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| 64 |         unsigned int low1( unsigned int n ) { return __builtin_ffs( n ); }
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| 65 |         unsigned int low1( unsigned long int n ) { return __builtin_ffsl( n ); }
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| 66 |         unsigned int low1( unsigned long long int n ) { return __builtin_ffsll( n ); }
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| 67 | 
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| 68 |         // Find most significiant zero bit.
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| 69 |         unsigned int high0( unsigned char n ) { return n == (typeof(n))-1 ? 0 : __bitsizeof(unsigned int) - __builtin_clz( (typeof(n))~n ); }
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| 70 |         unsigned int high0( unsigned short int n ) { return n == (typeof(n))-1 ? 0 : __bitsizeof(unsigned int) - __builtin_clz( (typeof(n))~n ); }
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| 71 |         unsigned int high0( unsigned int n ) { return n == -1 ? 0 : __bitsizeof(n) - __builtin_clz( ~n ); }
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| 72 |         unsigned int high0( unsigned long int n ) { return n == -1 ? 0 : __bitsizeof(n) - __builtin_clzl( ~n ); }
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| 73 |         unsigned int high0( unsigned long long int n ) { return n == -1 ? 0 : __bitsizeof(n) - __builtin_clzll( ~n ); }
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| 74 | 
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| 75 |         // Find most significiant one bit.
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| 76 |         unsigned int high1( unsigned char n ) { return n == 0 ? 0 : __bitsizeof(unsigned int) - __builtin_clz( n ); }
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| 77 |         unsigned int high1( unsigned short int n ) { return n == 0 ? 0 : __bitsizeof(unsigned int) - __builtin_clz( n ); }
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| 78 |         unsigned int high1( unsigned int n ) { return n == 0 ? 0 : __bitsizeof(n) - __builtin_clz( n ); }
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| 79 |         unsigned int high1( unsigned long int n ) { return n == 0 ? 0 : __bitsizeof(n) - __builtin_clzl( n ); }
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| 80 |         unsigned int high1( unsigned long long int n ) { return n == 0 ? 0 : __bitsizeof(n) - __builtin_clzll( n ); }
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| 81 | 
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| 82 |         // Check for power of 2, clears bits below n, rounding down to the next lower multiple of n.  0 is not a power of 2
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| 83 |         // but this computation returns true because of the two's complement, so it is a special case.
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| 84 |         bool is_pow2( unsigned char n ) { return n == 0 ? false : (n & (n - 1)) == 0; }
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| 85 |         bool is_pow2( unsigned short int n ) { return n == 0 ? false : (n & (n - 1)) == 0; }
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| 86 |         bool is_pow2( unsigned int n ) { return n == 0 ? false : (n & (n - 1)) == 0; }
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| 87 |         bool is_pow2( unsigned long int n ) { return n == 0 ? false : (n & (n - 1)) == 0; }
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| 88 |         bool is_pow2( unsigned long long int n ) { return n == 0 ? false : (n & (n - 1)) == 0; }
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| 89 | 
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| 90 |         // Returns n aligned at the floor of align, clear bits above or equal to align, giving n % align.
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| 91 |         signed char floor2( signed char n, char align ) { /*assert( is_pow2( align ) );*/ return n & -align; }
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| 92 |         unsigned char floor2( unsigned char n, unsigned char align ) { /*assert( is_pow2( align ) );*/ return n & -align; }
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| 93 |         short int floor2( short int n, short int align ) { /*assert( is_pow2( align ) );*/ return n & -align; }
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| 94 |         unsigned short int floor2( unsigned short int n, unsigned short int align ) { /*assert( is_pow2( align ) );*/ return n & -align; }
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| 95 |         int floor2( int n, int align ) { /*assert( is_pow2( align ) );*/ return n & -align; }
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| 96 |         unsigned int floor2( unsigned int n, unsigned int align ) { /*assert( is_pow2( align ) );*/ return n & -align; }
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| 97 |         long int floor2( long int n, long int align ) { /*assert( is_pow2( align ) );*/ return n & -align; }
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| 98 |         unsigned long int floor2( unsigned long int n, unsigned long int align ) { /*assert( is_pow2( align ) );*/ return n & -align; }
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| 99 |         long long int floor2( long long int n, long long int align ) { /*assert( is_pow2( align ) );*/ return n & -align; }
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| 100 |         unsigned long long int floor2( unsigned long long int n, unsigned long long int align ) { /*assert( is_pow2( align ) );*/ return n & -align; }
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| 101 | 
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| 102 |         // forall( otype T | { T ?&?( T, T ); T -?( T ); } )
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| 103 |         // T floor2( T n, T align ) { /* assert( is_pow2( align ) ); */ return n & -align; }
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| 104 | 
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| 105 |         signed char floor( signed char n, char align ) { return n / align * align; }
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| 106 |         unsigned char floor( unsigned char n, unsigned char align ) { return n / align * align; }
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| 107 |         short int floor( short int n, short int align ) { return n / align * align; }
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| 108 |         unsigned short int floor( unsigned short int n, unsigned short int align ) { return n / align * align; }
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| 109 |         int floor( int n, int align ) { return n / align * align; }
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| 110 |         unsigned int floor( unsigned int n, unsigned int align ) { return n / align * align; }
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| 111 |         long int floor( long int n, long int align ) { return n / align * align; }
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| 112 |         unsigned long int floor( unsigned long int n, unsigned long int align ) { return n / align * align; }
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| 113 |         long long int floor( long long int n, long long int align ) { return n / align * align; }
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| 114 |         unsigned long long int floor( unsigned long long int n, unsigned long long int align ) { return n / align * align; }
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| 115 | 
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| 116 |         // forall( otype T | { T ?/?( T, T ); T ?*?( T, T ); } )
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| 117 |         // T floor( T n, T align ) { return n / align * align; }
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| 118 | 
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| 119 |         // Returns n aligned at the ceiling of align, negate, round down, negate is the same as round up.
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| 120 |         signed char ceiling2( signed char n, char align ) { /*assert( is_pow2( align ) );*/ return -floor2( -n, align ); }
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| 121 |         unsigned char ceiling2( unsigned char n, unsigned char align ) { /*assert( is_pow2( align ) );*/ return -floor2( -n, align ); }
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| 122 |         short int ceiling2( short int n, short int align ) { /*assert( is_pow2( align ) );*/ return -floor2( -n, align ); }
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| 123 |         unsigned short int ceiling2( unsigned short int n, unsigned short int align ) { /*assert( is_pow2( align ) );*/ return -floor2( -n, align ); }
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| 124 |         int ceiling2( int n, int align ) { /*assert( is_pow2( align ) );*/ return -floor2( -n, align ); }
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| 125 |         unsigned int ceiling2( unsigned int n, unsigned int align ) { /*assert( is_pow2( align ) );*/ return -floor2( -n, align ); }
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| 126 |         long int ceiling2( long int n, long int align ) { /*assert( is_pow2( align ) );*/ return -floor2( -n, align ); }
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| 127 |         unsigned long int ceiling2( unsigned long int n, unsigned long int align ) { /*assert( is_pow2( align ) );*/ return -floor2( -n, align ); }
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| 128 |         long long int ceiling2( long long int n, long long int align ) { /*assert( is_pow2( align ) );*/ return -floor2( -n, align ); }
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| 129 |         unsigned long long int ceiling2( unsigned long long int n, unsigned long long int align ) { /*assert( is_pow2( align ) );*/ return -floor2( -n, align ); }
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| 130 | 
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| 131 |         // forall( otype T | { T floor2( T, T ); T -?( T ); } )
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| 132 |         // T ceiling2( T n, T align ) { /* assert( is_pow2( align ) ); */ return -floor2( -n, align ); }
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| 133 | 
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| 134 |         signed char ceiling( signed char n, char align ) { return (n + (align - 1)) / align; }
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| 135 |         unsigned char ceiling( unsigned char n, unsigned char align ) { return (n + (align - 1)) / align; }
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| 136 |         short int ceiling( short int n, short int align ) { return (n + (align - 1)) / align; }
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| 137 |         unsigned short int ceiling( unsigned short int n, unsigned short int align ) { return (n + (align - 1)) / align; }
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| 138 |         int ceiling( int n, int align ) { return (n + (align - 1)) / align; }
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| 139 |         unsigned int ceiling( unsigned int n, unsigned int align ) { return (n + (align - 1)) / align; }
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| 140 |         long int ceiling( long int n, long int align ) { return (n + (align - 1)) / align; }
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| 141 |         unsigned long int ceiling( unsigned long int n, unsigned long int align ) { return (n + (align - 1)) / align; }
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| 142 |         long long int ceiling( long long int n, long long int align ) { return (n + (align - 1)) / align; }
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| 143 |         unsigned long long int ceiling( unsigned long long int n, unsigned long long int align ) { return (n + (align - 1)) / align; }
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| 144 | 
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| 145 |         // forall( otype T | { void ?{}( T &, one_t ); T ?+?( T, T ); T ?-?( T, T ); T ?/?( T, T ); } )
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| 146 |         // T ceiling( T n, T align ) { return (n + (align - (T){1})) / align; }
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| 147 | } // distribution
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| 148 | 
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| 149 | // Local Variables: //
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| 150 | // tab-width: 4 //
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| 151 | // End: //
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