;;;;; ; ; Test floating point numbers. ; ; The values in the comments are the reference values from MACRO V05.05. ; .word ^F 1.0 ; 040200 .word ^F-1.0 ; 140200 .word -^F 1.0 ; 137600 .word -^F-1.0 ; 037600 .word ^F6.2 ; 040706 .word ^C^F6.2 ; 137071 .word ^C<^F6.2> ; 137071 .flt2 6.2 ; 040706 063146 .flt4 6.2 ; 040706 063146 063146 063146 .flt2 1.5 ; 040300 000000 .flt4 1.5 ; 040300 000000 000000 000000 .word ^F 3.1415926535897932384626433 ; 040511 .flt2 3.1415926535897932384626433 ; 040511 007733 .flt4 3.1415926535897932384626433 ; 040511 007732 121041 064302 ; Test some large numbers at the edge of the exactly representable ; integers. ; 1 << 56 just barely fits: it uses 57 bits but the lsb is 0 so ; when it is cut off, we don't notice. ; 1 << 56 + 1 R the lsb are 01 and is cut off. ; 1 << 56 + 2 the lsb are 10 and the missing 0 goes unnoticed. ; 1 << 56 - 1 consists of 56 1 bits. This value and all smaller ints ; 1 << 56 - 2 get represented exactly. ; Going up, to rounding steps of 4: ; ; 1 << 57 ; 1 << 57 + 4 next higher available representation ; 1 << 57 + 8 next higher available representation ; 1 << 56 - 3 .flt4 72057594037927933 ; 056177 177777 177777 177775 ; 1 << 56 - 2 .flt4 72057594037927934 ; 056177 177777 177777 177776 ; 1 << 56 - 1 .word ^F 72057594037927935 ; 056200 (rounded!) .flt2 72057594037927935 ; 056200 000000 (rounded!) .flt4 72057594037927935 ; 056177 177777 177777 177777 ; 1 << 56 .word ^F 72057594037927936 ; 056200 .flt2 72057594037927936 ; 056200 000000 .flt4 72057594037927936 ; 056200 000000 000000 000000 .flt4 72057594037927938 ; 1 << 56 + 2 ; 056200 000000 000000 000001 .flt4 144115188075855872 ; 1 << 57 ; 056400 000000 000000 000000 .flt4 144115188075855873 ; 1 << 57 + 1 ; 056400 000000 000000 000000 (inexact) .flt4 144115188075855874 ; 1 << 57 + 2 ; 056400 000000 000000 000001 (inexact) .flt4 144115188075855875 ; 1 << 57 + 3 ; 056400 000000 000000 000001 (inexact) .flt4 144115188075855876 ; 1 << 57 + 4 ; 056400 000000 000000 000001 (exact!) .flt4 144115188075855880 ; 1 << 57 + 8 ; 056400 000000 000000 000002 (exact!) ; This one triggers rounding up (round == 1) .flt4 6.66666 ; 040725 052507 055061 122276