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 : Tue Jun 9 15:14:04 2020 |
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14 | // Update Count : 123 |
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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, 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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