| 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 : Mon Aug 10 09:21:02 2020
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| 14 | // Update Count : 139
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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 __builtin_popcount( (typeof(n))~n ); }
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| 51 | unsigned int all0s( unsigned short int n ) { return __builtin_popcount( (typeof(n))~n ); }
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| 52 | unsigned int all0s( unsigned int n ) { return __builtin_popcount( ~n ); }
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| 53 | unsigned int all0s( unsigned long int n ) { return __builtin_popcountl( ~n ); }
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| 54 | unsigned int all0s( unsigned long long int n ) { return __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, signed char align ) { verify( is_pow2( align ) ); return n & -align; }
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| 92 | unsigned char floor2( unsigned char n, unsigned char align ) { verify( is_pow2( align ) ); return n & -align; }
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| 93 | short int floor2( short int n, short int align ) { verify( is_pow2( align ) ); return n & -align; }
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| 94 | unsigned short int floor2( unsigned short int n, unsigned short int align ) { verify( is_pow2( align ) ); return n & -align; }
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| 95 | int floor2( int n, int align ) { verify( is_pow2( align ) ); return n & -align; }
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| 96 | unsigned int floor2( unsigned int n, unsigned int align ) { verify( is_pow2( align ) ); return n & -align; }
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| 97 | long int floor2( long int n, long int align ) { verify( is_pow2( align ) ); return n & -align; }
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| 98 | unsigned long int floor2( unsigned long int n, unsigned long int align ) { verify( is_pow2( align ) ); return n & -align; }
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| 99 | long long int floor2( long long int n, long long int align ) { verify( 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 ) { verify( 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 ) { verify( is_pow2( align ) ); return n & -align; }
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| 104 |
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| 105 | signed char floor( signed char n, signed 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, signed char align ) { verify( is_pow2( align ) ); return -floor2( -n, align ); }
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| 121 | unsigned char ceiling2( unsigned char n, unsigned char align ) { verify( is_pow2( align ) ); return -floor2( -n, align ); }
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| 122 | short int ceiling2( short int n, short int align ) { verify( is_pow2( align ) ); return -floor2( -n, align ); }
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| 123 | unsigned short int ceiling2( unsigned short int n, unsigned short int align ) { verify( is_pow2( align ) ); return -floor2( -n, align ); }
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| 124 | int ceiling2( int n, int align ) { verify( is_pow2( align ) ); return -floor2( -n, align ); }
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| 125 | unsigned int ceiling2( unsigned int n, unsigned int align ) { verify( is_pow2( align ) ); return -floor2( -n, align ); }
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| 126 | long int ceiling2( long int n, long int align ) { verify( is_pow2( align ) ); return -floor2( -n, align ); }
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| 127 | unsigned long int ceiling2( unsigned long int n, unsigned long int align ) { verify( is_pow2( align ) ); return -floor2( -n, align ); }
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| 128 | long long int ceiling2( long long int n, long long int align ) { verify( 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 ) { verify( 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 ) { verify( is_pow2( align ) ); return -floor2( -n, align ); }
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| 133 |
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| 134 | signed char ceiling_div( signed char n, char align ) { return (n + (align - 1)) / align; }
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| 135 | unsigned char ceiling_div( unsigned char n, unsigned char align ) { return (n + (align - 1)) / align; }
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| 136 | short int ceiling_div( short int n, short int align ) { return (n + (align - 1)) / align; }
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| 137 | unsigned short int ceiling_div( unsigned short int n, unsigned short int align ) { return (n + (align - 1)) / align; }
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| 138 | int ceiling_div( int n, int align ) { return (n + (align - 1)) / align; }
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| 139 | unsigned int ceiling_div( unsigned int n, unsigned int align ) { return (n + (align - 1)) / align; }
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| 140 | long int ceiling_div( long int n, long int align ) { return (n + (align - 1)) / align; }
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| 141 | unsigned long int ceiling_div( unsigned long int n, unsigned long int align ) { return (n + (align - 1)) / align; }
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| 142 | long long int ceiling_div( long long int n, long long int align ) { return (n + (align - 1)) / align; }
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| 143 | unsigned long long int ceiling_div( 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 | { T ?+?( T, T ); T ?-?( T, T ); T ?%?( T, T ); } )
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| 146 | // T ceiling_div( T n, T align ) { verify( is_pow2( align ) );return (n + (align - 1)) / align; }
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| 147 |
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| 148 | // gcc notices the div/mod pair and saves both so only one div.
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| 149 | signed char ceiling( signed char n, signed char align ) { return floor( n + (n % align != 0 ? align - 1 : 0), align ); }
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| 150 | unsigned char ceiling( unsigned char n, unsigned char align ) { return floor( n + (n % align != 0 ? align - 1 : 0), align ); }
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| 151 | short int ceiling( short int n, short int align ) { return floor( n + (n % align != 0 ? align - 1 : 0), align ); }
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| 152 | unsigned short int ceiling( unsigned short int n, unsigned short int align ) { return floor( n + (n % align != 0 ? align - 1 : 0), align ); }
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| 153 | int ceiling( int n, int align ) { return floor( n + (n % align != 0 ? align - 1 : 0), align ); }
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| 154 | unsigned int ceiling( unsigned int n, unsigned int align ) { return floor( n + (n % align != 0 ? align - 1 : 0), align ); }
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| 155 | long int ceiling( long int n, long int align ) { return floor( n + (n % align != 0 ? align - 1 : 0), align ); }
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| 156 | unsigned long int ceiling( unsigned long int n, unsigned long int align ) { return floor( n + (n % align != 0 ? align - 1 : 0) , align); }
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| 157 | long long int ceiling( long long int n, long long int align ) { return floor( n + (n % align != 0 ? align - 1 : 0), align ); }
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| 158 | 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 ); }
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| 159 |
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| 160 | // forall( otype T | { void ?{}( T &, one_t ); T ?+?( T, T ); T ?-?( T, T ); T ?/?( T, T ); } )
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| 161 | // T ceiling( T n, T align ) { return return floor( n + (n % align != 0 ? align - 1 : 0), align ); *}
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| 162 | } // distribution
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| 163 |
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| 164 | // Local Variables: //
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| 165 | // tab-width: 4 //
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| 166 | // End: //
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