| 1 | //
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| 2 | // Cforall Version 1.0.0 Copyright (C) 2016 University of Waterloo
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| 3 | //
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| 4 | // The contents of this file are covered under the licence agreement in the
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| 5 | // file "LICENCE" distributed with Cforall.
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| 6 | //
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| 7 | // math4.cfa --
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| 8 | //
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| 9 | // Author : Peter A. Buhr
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| 10 | // Created On : Thu May 24 20:56:54 2018
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| 11 | // Last Modified By : Peter A. Buhr
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| 12 | // Last Modified On : Tue Aug 25 17:56:45 2020
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| 13 | // Update Count : 7
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| 14 | //
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| 15 |
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| 16 | #include <fstream.hfa>
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| 17 | #include <math.hfa>
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| 18 |
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| 19 | int main( void ) {
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| 20 | signed char sc, scr1, scr2, scr3;
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| 21 | unsigned char uc, ucr1, ucr2, ucr3;
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| 22 | short int si, sir1, sir2, sir3;
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| 23 | unsigned short int usi, usir1, usir2, usir3;
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| 24 | int i, ir1, ir2, ir3;
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| 25 | unsigned int ui, uir1, uir2, uir3;
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| 26 | long int li, lir1, lir2, lir3;
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| 27 | unsigned long int uli, ulir1, ulir2, ulir3;
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| 28 | long long int lli, llir1, llir2, llir3;
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| 29 | unsigned long long int ulli, ullir1, ullir2, ullir3;
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| 30 |
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| 31 | float f;
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| 32 | double d;
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| 33 | long double l;
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| 34 |
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| 35 | //---------------------- Nearest Integer ----------------------
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| 36 |
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| 37 | //============================================================
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| 38 | #if 1
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| 39 | sout | nl | "floor" | nl | nl;
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| 40 |
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| 41 | printf( "signed char\n" );
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| 42 | for ( sc = 1; sc != 0; sc <<= 1 ) {
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| 43 | scr1 = floor( sc, sc ); scr2 = floor( sc + 2hh, sc ); scr3 = floor( -sc - 2hh, sc );
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| 44 | printf( "floor(%hhd, %hhd) = %hhd, floor(%hhd, %hhd) = %hhd, floor(%hhd, %hhd) = %hhd\n", sc, sc, scr1, sc + 2hh, sc, scr2, -sc - 2hh, sc, scr3 );
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| 45 | } // for
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| 46 | printf( "\n" );
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| 47 |
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| 48 | printf( "unsigned char\n" );
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| 49 | for ( uc = 1; uc != 0; uc <<= 1 ) {
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| 50 | ucr1 = floor( uc, uc ); ucr2 = floor( uc + 2hh, uc ); ucr3 = floor( -uc - 2hh, uc );
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| 51 | printf( "floor(%hhu, %hhu) = %hhu, floor(%hhu, %hhu) = %hhu, floor(%hhu, %hhu) = %hhu\n", uc, uc, ucr1, uc + 2uhh, uc, ucr2, -uc - 2uhh, uc, ucr3 );
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| 52 | } // for
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| 53 | printf( "\n" );
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| 54 |
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| 55 | printf( "short int\n" );
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| 56 | for ( si = 1; si != 0; si <<= 1 ) {
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| 57 | sir1 = floor( si, si ); sir2 = floor( si + 2hh, si ); sir3 = floor( -si - 2hh, si );
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| 58 | printf( "floor(%hd, %hd) = %hd, floor(%hd, %hd) = %hd, floor(%hd, %hd) = %hd\n", si, si, sir1, si + 2h, si, sir2, -si - 2h, si, sir3 );
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| 59 | } // for
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| 60 | printf( "\n" );
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| 61 |
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| 62 | printf( "unsigned short int\n" );
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| 63 | for ( usi = 1; usi != 0; usi <<= 1 ) {
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| 64 | usir1 = floor( usi, usi ); usir2 = floor( usi + 2hh, usi ); usir3 = floor( -usi - 2hh, usi );
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| 65 | printf( "floor(%hu, %hu) = %hu, floor(%hu, %hu) = %hu, floor(%hu, %hu) = %hu\n", usi, usi, usir1, usi + 2uh, usi, usir2, -usi - 2uh, usi, usir3 );
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| 66 | } // for
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| 67 | printf( "\n" );
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| 68 |
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| 69 | printf( "int\n" );
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| 70 | for ( i = 1; i != 0; i <<= 1 ) {
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| 71 | ir1 = floor( i, i ); ir2 = floor( i + 2hh, i ); ir3 = floor( -i - 2hh, i );
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| 72 | printf( "floor(%d, %d) = %d, floor(%d, %d) = %d, floor(%d, %d) = %d\n", i, i, ir1, i + 2h, i, ir2, -i - 2h, i, ir3 );
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| 73 | } // for
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| 74 | printf( "\n" );
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| 75 |
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| 76 | printf( "unsigned int\n" );
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| 77 | for ( ui = 1; ui != 0; ui <<= 1 ) {
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| 78 | uir1 = floor( ui, ui ); uir2 = floor( ui + 2hh, ui ); uir3 = floor( -ui - 2hh, ui );
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| 79 | printf( "floor(%u, %u) = %u, floor(%u, %u) = %u, floor(%u, %u) = %u\n", ui, ui, uir1, ui + 2h, ui, uir2, -ui - 2h, ui, uir3 );
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| 80 | } // for
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| 81 | printf( "\n" );
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| 82 |
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| 83 | printf( "long int\n" );
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| 84 | for ( li = 1; li != 0; li <<= 1 ) {
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| 85 | lir1 = floor( li, li ); lir2 = floor( li + 2hh, li ); lir3 = floor( -li - 2hh, li );
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| 86 | printf( "floor(%ld, %ld) = %ld, floor(%ld, %ld) = %ld, floor(%ld, %ld) = %ld\n", li, li, lir1, li + 2h, li, lir2, -li - 2h, li, lir3 );
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| 87 | } // for
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| 88 | printf( "\n" );
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| 89 |
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| 90 | printf( "unsigned long int\n" );
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| 91 | for ( uli = 1; uli != 0; uli <<= 1 ) {
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| 92 | ulir1 = floor( uli, uli ); ulir2 = floor( uli + 2hh, uli ); ulir3 = floor( -uli - 2hh, uli );
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| 93 | printf( "floor(%lu, %lu) = %lu, floor(%lu, %lu) = %lu, floor(%lu, %lu) = %lu\n", uli, uli, ulir1, uli + 2h, uli, ulir2, -uli - 2h, uli, ulir3 );
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| 94 | } // for
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| 95 | printf( "\n" );
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| 96 |
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| 97 | printf( "long long int\n" );
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| 98 | for ( lli = 1; lli != 0; lli <<= 1 ) {
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| 99 | llir1 = floor( lli, lli ); llir2 = floor( lli + 2hh, lli ); llir3 = floor( -lli - 2hh, lli );
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| 100 | printf( "floor(%lld, %lld) = %lld, floor(%lld, %lld) = %lld, floor(%lld, %lld) = %lld\n", lli, lli, llir1, lli + 2h, lli, llir2, -lli - 2h, lli, llir3 );
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| 101 | } // for
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| 102 | printf( "\n" );
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| 103 |
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| 104 | printf( "unsigned long long int\n" );
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| 105 | for ( ulli = 1; ulli != 0; ulli <<= 1 ) {
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| 106 | ullir1 = floor( ulli, ulli ); ullir2 = floor( ulli + 2hh, ulli ); ullir3 = floor( -ulli - 2hh, ulli );
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| 107 | printf( "floor(%llu, %llu) = %llu, floor(%llu, %llu) = %llu, floor(%llu, %llu) = %llu\n", ulli, ulli, ullir1, ulli + 2h, ulli, ullir2, -ulli - 2h, ulli, ullir3 );
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| 108 | } // for
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| 109 | printf( "\n" );
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| 110 | #endif // 0
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| 111 | //============================================================
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| 112 | #if 1
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| 113 | sout | nl | "ceiling_div" | nl | nl;
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| 114 |
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| 115 | printf( "signed char\n" );
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| 116 | for ( sc = 1; sc != 0; sc <<= 1 ) {
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| 117 | scr1 = ceiling_div( sc, sc ); scr2 = ceiling_div( sc + 2hh, sc ); scr3 = ceiling_div( -sc - 2hh, sc );
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| 118 | 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 );
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| 119 | } // for
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| 120 | printf( "\n" );
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| 121 |
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| 122 | printf( "unsigned char\n" );
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| 123 | for ( uc = 1; uc != 0; uc <<= 1 ) {
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| 124 | ucr1 = ceiling_div( uc, uc ); ucr2 = ceiling_div( uc + 2hh, uc ); ucr3 = ceiling_div( -uc - 2hh, uc );
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| 125 | 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 );
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| 126 | } // for
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| 127 | printf( "\n" );
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| 128 |
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| 129 | printf( "short int\n" );
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| 130 | for ( si = 1; si != 0; si <<= 1 ) {
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| 131 | sir1 = ceiling_div( si, si ); sir2 = ceiling_div( si + 2hh, si ); sir3 = ceiling_div( -si - 2hh, si );
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| 132 | 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 );
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| 133 | } // for
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| 134 | printf( "\n" );
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| 135 |
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| 136 | printf( "unsigned short int\n" );
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| 137 | for ( usi = 1; usi != 0; usi <<= 1 ) {
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| 138 | usir1 = ceiling_div( usi, usi ); usir2 = ceiling_div( usi + 2hh, usi ); usir3 = ceiling_div( -usi - 2hh, usi );
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| 139 | 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 );
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| 140 | } // for
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| 141 | printf( "\n" );
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| 142 |
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| 143 | printf( "int\n" );
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| 144 | for ( i = 1; i != 0; i <<= 1 ) {
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| 145 | ir1 = ceiling_div( i, i ); ir2 = ceiling_div( i + 2hh, i ); ir3 = ceiling_div( -i - 2hh, i );
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| 146 | 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 );
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| 147 | } // for
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| 148 | printf( "\n" );
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| 149 |
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| 150 | printf( "unsigned int\n" );
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| 151 | for ( ui = 1; ui != 0; ui <<= 1 ) {
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| 152 | uir1 = ceiling_div( ui, ui ); uir2 = ceiling_div( ui + 2hh, ui ); uir3 = ceiling_div( -ui - 2hh, ui );
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| 153 | 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 );
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| 154 | } // for
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| 155 | printf( "\n" );
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| 156 |
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| 157 | printf( "long int\n" );
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| 158 | for ( li = 1; li != 0; li <<= 1 ) {
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| 159 | lir1 = ceiling_div( li, li ); lir2 = ceiling_div( li + 2hh, li ); lir3 = ceiling_div( -li - 2hh, li );
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| 160 | 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 );
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| 161 | } // for
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| 162 | printf( "\n" );
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| 163 |
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| 164 | printf( "unsigned long int\n" );
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| 165 | for ( uli = 1; uli != 0; uli <<= 1 ) {
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| 166 | ulir1 = ceiling_div( uli, uli ); ulir2 = ceiling_div( uli + 2hh, uli ); ulir3 = ceiling_div( -uli - 2hh, uli );
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| 167 | 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 );
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| 168 | } // for
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| 169 | printf( "\n" );
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| 170 |
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| 171 | printf( "long long int\n" );
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| 172 | for ( lli = 1; lli != 0; lli <<= 1 ) {
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| 173 | llir1 = ceiling_div( lli, lli ); llir2 = ceiling_div( lli + 2hh, lli ); llir3 = ceiling_div( -lli - 2hh, lli );
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| 174 | 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 );
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| 175 | } // for
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| 176 | printf( "\n" );
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| 177 |
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| 178 | printf( "unsigned long long int\n" );
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| 179 | for ( ulli = 1; ulli != 0; ulli <<= 1 ) {
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| 180 | ullir1 = ceiling_div( ulli, ulli ); ullir2 = ceiling_div( ulli + 2hh, ulli ); ullir3 = ceiling_div( -ulli - 2hh, ulli );
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| 181 | 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 );
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| 182 | } // for
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| 183 | printf( "\n" );
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| 184 | #endif // 0
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| 185 | //============================================================
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| 186 | #if 1
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| 187 | sout | nl | "ceiling" | nl | nl;
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| 188 |
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| 189 | printf( "signed char\n" );
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| 190 | for ( sc = 1; sc != 0; sc <<= 1 ) {
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| 191 | scr1 = ceiling( sc, sc ); scr2 = ceiling( sc + 2hh, sc ); scr3 = ceiling( -sc - 2hh, sc );
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| 192 | printf( "ceiling(%hhd, %hhd) = %hhd, ceiling(%hhd, %hhd) = %hhd, ceiling(%hhd, %hhd) = %hhd\n", sc, sc, scr1, sc + 2hh, sc, scr2, -sc - 2hh, sc, scr3 );
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| 193 | } // for
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| 194 | printf( "\n" );
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| 195 |
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| 196 | printf( "unsigned char\n" );
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| 197 | for ( uc = 1; uc != 0; uc <<= 1 ) {
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| 198 | ucr1 = ceiling( uc, uc ); ucr2 = ceiling( uc + 2hh, uc ); ucr3 = ceiling( -uc - 2hh, uc );
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| 199 | printf( "ceiling(%hhu, %hhu) = %hhu, ceiling(%hhu, %hhu) = %hhu, ceiling(%hhu, %hhu) = %hhu\n", uc, uc, ucr1, uc + 2uhh, uc, ucr2, -uc - 2uhh, uc, ucr3 );
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| 200 | } // for
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| 201 | printf( "\n" );
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| 202 |
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| 203 | printf( "short int\n" );
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| 204 | for ( si = 1; si != 0; si <<= 1 ) {
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| 205 | sir1 = ceiling( si, si ); sir2 = ceiling( si + 2hh, si ); sir3 = ceiling( -si - 2hh, si );
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| 206 | printf( "ceiling(%hd, %hd) = %hd, ceiling(%hd, %hd) = %hd, ceiling(%hd, %hd) = %hd\n", si, si, sir1, si + 2h, si, sir2, -si - 2h, si, sir3 );
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| 207 | } // for
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| 208 | printf( "\n" );
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| 209 |
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| 210 | printf( "unsigned short int\n" );
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| 211 | for ( usi = 1; usi != 0; usi <<= 1 ) {
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| 212 | usir1 = ceiling( usi, usi ); usir2 = ceiling( usi + 2hh, usi ); usir3 = ceiling( -usi - 2hh, usi );
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| 213 | printf( "ceiling(%hu, %hu) = %hu, ceiling(%hu, %hu) = %hu, ceiling(%hu, %hu) = %hu\n", usi, usi, usir1, usi + 2uh, usi, usir2, -usi - 2uh, usi, usir3 );
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| 214 | } // for
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| 215 | printf( "\n" );
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| 216 |
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| 217 | printf( "int\n" );
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| 218 | for ( i = 1; i != 0; i <<= 1 ) {
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| 219 | ir1 = ceiling( i, i ); ir2 = ceiling( i + 2hh, i ); ir3 = ceiling( -i - 2hh, i );
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| 220 | printf( "ceiling(%d, %d) = %d, ceiling(%d, %d) = %d, ceiling(%d, %d) = %d\n", i, i, ir1, i + 2h, i, ir2, -i - 2h, i, ir3 );
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| 221 | } // for
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| 222 | printf( "\n" );
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| 223 |
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| 224 | printf( "unsigned int\n" );
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| 225 | for ( ui = 1; ui != 0; ui <<= 1 ) {
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| 226 | uir1 = ceiling( ui, ui ); uir2 = ceiling( ui + 2hh, ui ); uir3 = ceiling( -ui - 2hh, ui );
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| 227 | printf( "ceiling(%u, %u) = %u, ceiling(%u, %u) = %u, ceiling(%u, %u) = %u\n", ui, ui, uir1, ui + 2h, ui, uir2, -ui - 2h, ui, uir3 );
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| 228 | } // for
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| 229 | printf( "\n" );
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| 230 |
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| 231 | printf( "long int\n" );
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| 232 | for ( li = 1; li != 0; li <<= 1 ) {
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| 233 | lir1 = ceiling( li, li ); lir2 = ceiling( li + 2hh, li ); lir3 = ceiling( -li - 2hh, li );
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| 234 | printf( "ceiling(%ld, %ld) = %ld, ceiling(%ld, %ld) = %ld, ceiling(%ld, %ld) = %ld\n", li, li, lir1, li + 2h, li, lir2, -li - 2h, li, lir3 );
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| 235 | } // for
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| 236 | printf( "\n" );
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| 237 |
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| 238 | printf( "unsigned long int\n" );
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| 239 | for ( uli = 1; uli != 0; uli <<= 1 ) {
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| 240 | ulir1 = ceiling( uli, uli ); ulir2 = ceiling( uli + 2hh, uli ); ulir3 = ceiling( -uli - 2hh, uli );
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| 241 | printf( "ceiling(%lu, %lu) = %lu, ceiling(%lu, %lu) = %lu, ceiling(%lu, %lu) = %lu\n", uli, uli, ulir1, uli + 2h, uli, ulir2, -uli - 2h, uli, ulir3 );
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| 242 | } // for
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| 243 | printf( "\n" );
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| 244 |
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| 245 | printf( "long long int\n" );
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| 246 | for ( lli = 1; lli != 0; lli <<= 1 ) {
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| 247 | llir1 = ceiling( lli, lli ); llir2 = ceiling( lli + 2hh, lli ); llir3 = ceiling( -lli - 2hh, lli );
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| 248 | printf( "ceiling(%lld, %lld) = %lld, ceiling(%lld, %lld) = %lld, ceiling(%lld, %lld) = %lld\n", lli, lli, llir1, lli + 2h, lli, llir2, -lli - 2h, lli, llir3 );
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| 249 | } // for
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| 250 | printf( "\n" );
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| 251 |
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| 252 | printf( "unsigned long long int\n" );
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| 253 | for ( ulli = 1; ulli != 0; ulli <<= 1 ) {
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| 254 | ullir1 = ceiling( ulli, ulli ); ullir2 = ceiling( ulli + 2hh, ulli ); ullir3 = ceiling( -ulli - 2hh, ulli );
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| 255 | printf( "ceiling(%llu, %llu) = %llu, ceiling(%llu, %llu) = %llu, ceiling(%llu, %llu) = %llu\n", ulli, ulli, ullir1, ulli + 2h, ulli, ullir2, -ulli - 2h, ulli, ullir3 );
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| 256 | } // for
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| 257 | printf( "\n" );
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| 258 | #endif // 0
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| 259 |
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| 260 | sout | "floor:" | floor( 1.2F ) | floor( 1.2D ) | floor( 1.2L );
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| 261 | sout | "ceil:" | ceil( 1.6F ) | ceil( 1.6D ) | ceil( 1.6L );
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| 262 | sout | "trunc:" | trunc( 3.5F ) | trunc( 3.5D ) | trunc( 3.5L );
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| 263 | sout | "rint:" | (float)rint( 1.5F ) | (double)rint( 1.5D ) | (long double)rint( 1.5L );
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| 264 | sout | "rint:" | (long int)rint( 1.5F ) | (long int)rint( 1.5D ) | (long int)rint( 1.5L );
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| 265 | sout | "rint:" | (long long int)rint( 1.5F ) | (long long int)rint( 1.5D ) | (long long int)rint( 1.5L );
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| 266 | sout | "lrint:" | lrint( 1.5F ) | lrint( 1.5D ) | lrint( 1.5L );
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| 267 | sout | "llrint:" | llrint( 1.5F ) | llrint( 1.5D ) | llrint( 1.5L );
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| 268 | sout | "nearbyint:" | nearbyint( 3.5F ) | nearbyint( 3.5D ) | nearbyint( 3.5L );
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| 269 | sout | "round:" | (float)round( 1.5F ) | (double)round( 1.5D ) | (long double)round( 1.5L );
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| 270 | sout | "round:" | (long int)round( 1.5F ) | (long int)round( 1.5D ) | (long int)round( 1.5L );
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| 271 | sout | "round:" | (long long int)round( 1.5F ) | (long long int)round( 1.5D ) | (long long int)round( 1.5L );
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| 272 | sout | "lround:" | lround( 1.5F ) | lround( 1.5D ) | lround( 1.5L );
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| 273 | sout | "llround:" | llround( 1.5F ) | llround( 1.5D ) | llround( 1.5L );
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| 274 |
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| 275 | //---------------------- Manipulation ----------------------
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| 276 |
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| 277 | sout | "copysign:" | copysign( 1.0F, -1.0F ) | copysign( 1.0D, -1.0D ) | copysign( 1.0L, -1.0L );
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| 278 | int exp;
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| 279 | f = frexp( 4.0F, &exp );
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| 280 | sout | "frexp:" | f | exp | nonl;
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| 281 | d = frexp( 4.0D, &exp );
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| 282 | sout | d | exp | nonl;
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| 283 | l = frexp( 4.0L, &exp );
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| 284 | sout | l | exp;
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| 285 | sout | "ldexp:" | ldexp( 2.0F, 2 ) | ldexp( 2.0D, 2 ) | ldexp( 2.0L, 2 );
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| 286 | float fi;
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| 287 | double di;
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| 288 | long double ldi;
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| 289 | f = modf( 2.3F, &fi );
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| 290 | sout | "modf:" | fi | f | nonl;
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| 291 | d = modf( 2.3D, &di );
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| 292 | sout | di | d | nonl;
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| 293 | l = modf( 2.3L, &ldi );
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| 294 | sout | ldi | l;
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| 295 | sout | "modf:" | modf( 2.3F ) | modf( 2.3D ) | modf( 2.3L );
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| 296 | sout | "nextafter:" | nextafter( 2.0F, 3.0F ) | nextafter( 2.0D, 3.0D ) | nextafter( 2.0L, 3.0L );
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| 297 | sout | "nexttoward:" | nexttoward( 2.0F, 3.0F ) | nexttoward( 2.0D, 3.0D ) | nexttoward( 2.0L, 3.0L );
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| 298 |
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| 299 | sout | "scalbn:" | scalbn( 2.0F, 3 ) | scalbn( 2.0D, 3 ) | scalbn( 2.0L, 3 );
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| 300 | sout | "scalbln:" | scalbln( 2.0F, 3L ) | scalbln( 2.0D, 3L ) | scalbln( 2.0L, 3L );
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| 301 | } // main
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| 302 |
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| 303 | // Local Variables: //
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| 304 | // tab-width: 4 //
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| 305 | // compile-command: "cfa math4.cfa" //
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| 306 | // End: //
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