1 ;;;;; 2 ; 3 ; Test floating point numbers. 4 ; 5 ; The values in the comments are the reference values from MACRO V05.05. 6 ; 7 000000 040200 .word ^F 1.0 ; 040200 8 000002 140200 .word ^F-1.0 ; 140200 9 000004 137600 .word -^F 1.0 ; 137600 10 000006 037600 .word -^F-1.0 ; 037600 11 12 000010 040706 .word ^F6.2 ; 040706 13 000012 137071 .word ^C^F6.2 ; 137071 14 000014 137071 .word ^C<^F6.2> ; 137071 15 16 000016 040706 063146 .flt2 6.2 ; 040706 063146 17 000022 040706 063146 063146 .flt4 6.2 ; 040706 063146 063146 063146 000030 063146 18 19 000032 040300 000000 .flt2 1.5 ; 040300 000000 20 000036 040300 000000 000000 .flt4 1.5 ; 040300 000000 000000 000000 000044 000000 21 22 000046 040511 .word ^F 3.1415926535897932384626433 ; 040511 23 000050 040511 007733 .flt2 3.1415926535897932384626433 ; 040511 007733 24 000054 040511 007732 121041 .flt4 3.1415926535897932384626433 ; 040511 007732 121041 064302 000062 064302 25 26 ; Test some large numbers at the edge of the exactly representable 27 ; integers. 28 ; 1 << 56 just barely fits: it uses 57 bits but the lsb is 0 so 29 ; when it is cut off, we don't notice. 30 ; 1 << 56 + 1 R the lsb are 01 and is cut off. 31 ; 1 << 56 + 2 the lsb are 10 and the missing 0 goes unnoticed. 32 33 ; 1 << 56 - 1 consists of 56 1 bits. This value and all smaller ints 34 ; 1 << 56 - 2 get represented exactly. 35 36 ; Going up, to rounding steps of 4: 37 ; 38 ; 1 << 57 39 ; 1 << 57 + 4 next higher available representation 40 ; 1 << 57 + 8 next higher available representation 41 42 ; 1 << 56 - 3 43 000064 056177 177777 177777 .flt4 72057594037927933 ; 056177 177777 177777 177775 000072 177775 44 ; 1 << 56 - 2 45 000074 056177 177777 177777 .flt4 72057594037927934 ; 056177 177777 177777 177776 000102 177776 46 47 ; 1 << 56 - 1 48 000104 056200 .word ^F 72057594037927935 ; 056200 (rounded up!) 49 000106 056200 000000 .flt2 72057594037927935 ; 056200 000000 (rounded up!) 50 000112 056177 177777 177777 .flt4 72057594037927935 ; 056177 177777 177777 177777 000120 177777 51 52 ; 1 << 56 53 000122 056200 .word ^F 72057594037927936 ; 056200 54 000124 056200 000000 .flt2 72057594037927936 ; 056200 000000 55 000130 056200 000000 000000 .flt4 72057594037927936 ; 056200 000000 000000 000000 000136 000000 56 57 000140 056200 000000 000000 .flt4 72057594037927938 ; 1 << 56 + 2 000146 000001 58 ; 056200 000000 000000 000001 59 60 000150 056400 000000 000000 .flt4 144115188075855872 ; 1 << 57 000156 000000 61 ; 056400 000000 000000 000000 62 000160 056400 000000 000000 .flt4 144115188075855873 ; 1 << 57 + 1 000166 000000 63 ; 056400 000000 000000 000000 (inexact) 64 000170 056400 000000 000000 .flt4 144115188075855874 ; 1 << 57 + 2 000176 000001 65 ; 056400 000000 000000 000001 (inexact) 66 000200 056400 000000 000000 .flt4 144115188075855875 ; 1 << 57 + 3 000206 000001 67 ; 056400 000000 000000 000001 (inexact) 68 000210 056400 000000 000000 .flt4 144115188075855876 ; 1 << 57 + 4 000216 000001 69 ; 056400 000000 000000 000001 (exact!) 70 000220 056400 000000 000000 .flt4 144115188075855880 ; 1 << 57 + 8 000226 000002 71 ; 056400 000000 000000 000002 (exact!) 72 73 ; This one triggers rounding up (round == 1) 74 000230 040725 052507 055061 .flt4 6.66666 ; 040725 052507 055061 122276 000236 122276 75 76 ; MACRO-11 truncates these ^F values despite what the manual says. 77 ; On the other hand, it does round up some of the test values above. 78 ; We stick to the manual since the result is more consistent. 79 80 ; Expression RT-11 this 81 ; MACRO-11 version 82 ; V05.06 83 84 000240 040177 .word ^F 0.994140625 ; (2**9-3)/2**9 040176 040177 85 000242 040176 100000 000000 .flt4 0.994140625 ; same-> 040176 100000 0 0 000250 000000 86 87 000252 040200 .word ^F 0.998046875 ; (2**9-1)/2**9 040177 040200 88 000254 040177 100000 000000 .flt4 0.998046875 ; same-> 040177 100000 0 0 000262 000000 89 90 000264 040201 .word ^F 1.00390625 ; (2**8+1)/2**8 040200 040201 91 000266 040200 100000 000000 .flt4 1.00390625 ; same-> 040200 100000 0 0 000274 000000 92 93 000276 040202 .word ^F 1.01171875 ; (2**8+3)/2**8 040201 040202 94 000300 040201 100000 000000 .flt4 1.01171875 ; same-> 040201 100000 0 0 000306 000000 95 96 000310 077777 177777 177777 .flt4 1.701411834604692307e+38 ; 077777 177777 177777 177777 000316 177777 97 000320 077777 177777 177777 .FLT4 170141183460469230551095682998472802304 ; 2**127-2**70 000326 177777 98 000330 077777 177777 177777 .FLT4 170141183460469230564930741053754966015 ; 2**127-(2**70-2**64+2**62+1) 000336 177777 99 000340 077777 177777 177777 .FLT4 170141183460469230564930741053754966016 ; 2**127-(2**70-2**64+2**62+2) 000346 177777 100 101 000350 040200 000000 000000 .flt4 1.0000000000000000138777878078144567552953958511353 ; 0040200 0000000 0000000 0000000 000356 000000 102 000360 040200 000000 000000 .flt4 1.0000000000000000416333634234433702658861875534058 ; 0040200 0000000 0000000 0000001 000366 000001 103 000370 040177 177777 177777 .flt4 0.99999999999999997918331828827831486705690622329712 ; 0040177 0177777 0177777 0177776 000376 177776 104 000400 040177 177777 177777 .flt4 0.99999999999999999306110609609277162235230207443237 ; 0040177 0177777 0177777 0177777 000406 177777 105 106 000410 040200 000000 000000 .flt4 100E-2 ; 040200 000000 000000 000000 000416 000000 107 000420 044303 050000 000000 .flt4 1.0E5 ; 044303 050000 000000 000000 000426 000000 108 000430 050425 001371 000000 .flt4 1.0E10 ; 050425 001371 000000 000000 000436 000000 109 000440 060655 074353 142654 .flt4 1.0E20 ; 060655 074353 142654 061000 000446 061000 110 000450 071111 171311 146404 .flt4 1.0E30 ; 071111 171311 146404 063517 000456 063517 111 000460 077626 073231 050265 .flt4 1.0E38 ; 077626 073231 050265 006611 000466 006611 112 113 000470 034047 142654 043433 .flt4 1.0E-5 ; 034047 142654 043433 043604 000476 043604 114 000500 027733 163376 147275 .flt4 1.0E-10 ; 027733 163376 147275 166726 000506 166726 115 000510 017474 162410 062222 .flt4 1.0E-20 ; 017474 162410 062222 010433 000516 010433 116 000520 007242 041137 173536 .flt4 1.0E-30 ; 007242 041137 173536 012374 000526 012374 117 000530 000531 143734 166523 .flt4 1.0E-38 ; 000531 143734 166523 143442 000536 143442 118 119 000540 057514 054000 000000 .flt4 3681129745421959167 ; 057514 054000 000000 000000 000546 000000 120 000550 057514 054000 000000 .flt4 3681129745421959168 ; 0x3316000000000000 057514 054000 000000 000000 000556 000000 121 000560 057514 054000 000000 .flt4 3681129745421959169 ; 057514 054000 000000 000000 000566 000000 122 000570 057514 054000 000000 .flt4 3681129745421959170 ; 057514 054000 000000 000000 000576 000000 123 124 000600 060114 146000 000000 .flt4 14757170078986272767 ; 060114 146000 000000 000000 000606 000000 125 000610 060114 146000 000000 .flt4 14757170078986272768 ; 0xCCCC000000000000 060114 146000 000000 000000 000616 000000 126 000620 060114 146000 000000 .flt4 14757170078986272769 ; 060114 146000 000000 000000 000626 000000 127 000630 060114 146000 000000 .flt4 14757170078986272780 ; 060114 146000 000000 000000 000636 000000 128 129 000640 040511 007732 121041 .flt4 3.1415926535897932384626433 ; 040511 007732 121041 064302 000646 064302 130 131 ; Try some possibly incomplete numbers 132 test-float.mac:133: ***ERROR Bad floating point format 133 000650 000000 000000 000000 .flt4 + ; bad 000656 000000 134 000660 040200 000000 000000 .flt4 +1 ; ok 000666 000000 test-float.mac:135: ***ERROR Bad floating point format 135 000670 000000 000000 000000 .flt4 +E1 ; bad 000676 000000 test-float.mac:136: ***ERROR Bad floating point format 136 000700 000000 000000 000000 .flt4 - ; bad 000706 000000 137 000710 140200 000000 000000 .flt4 -1 ; ok 000716 000000 138 000720 140200 000000 000000 .flt4 -1. ; ok 000726 000000 test-float.mac:139: ***ERROR Bad floating point format 139 000730 000000 000000 000000 .flt4 -1.. ; bad 000736 000000 test-float.mac:140: ***ERROR Bad floating point format 140 000740 000000 000000 000000 .flt4 -E1 ; bad 000746 000000 141 000750 000000 000000 000000 .flt4 +. ; bad 000756 000000 142 000760 000000 000000 000000 .flt4 -. ; bad 000766 000000 143 000770 000000 000000 000000 .flt4 . ; bad 000776 000000 test-float.mac:144: ***ERROR Bad floating point format 144 001000 000000 000000 000000 .flt4 .. ; bad 001006 000000 145 001010 000000 000000 000000 .flt4 .E10 ; bad 001016 000000 146 147 ; Several ways to define a name for the fpp registers 148 149 000000 ac0 = r0 150 000001 ac1 = %1 151 000002 f2 = %2 152 153 001020 171003 mulf r3,ac0 154 001022 171102 mulf r2,ac1 155 001024 172227 041040 ADDF #^O41040,F2 156 001030 172127 040200 addf #1,ac1 157 158 001034 171003 mulf r3,ac0 159 001036 171102 mulf r2,ac1 160 001040 172227 041040 addf #^O41040,F2 ; taken literally 161 001044 172127 040200 addf #1,ac1 ; as float 162 001050 172127 040200 addf #1.,ac1 ; as float 163 001054 172127 040200 addf #1.0,ac1 ; as float 164 001060 172127 000001 addf #^D1,ac1 ; literally 165 001064 173027 000001 subf #<1>,ac0 ; literally 166 001070 172127 000002 addf #<1+1>,ac1 ; literally test-float.mac:167: ***ERROR Invalid addressing mode (1st operand, fsrc: Invalid expression after '#') 167 subf #<1.0>,ac0 ; error 168 001074 172127 040300 addf #1.5,ac1 ; as float 169 001100 172127 140263 addd #-1.4,ac1 ; as float 170 001104 173027 040200 subf #<^F 1.0>,ac0 ; as float test-float.mac:171: ***ERROR Invalid addressing mode (1st operand, fsrc: Invalid expression after '#') 171 subf #<^D 1.0>,ac0 ; error 172 001110 173027 000001 subf #<^D 1>,ac0 ; literally 173 001114 173027 000002 subf #^D<1+1>,ac0 ; literally 174 001120 173027 000002 subf #^D 1+1 ,ac0 ; literally 175 001124 173027 042572 subf #1e3,ac0 ; as float 176 001130 173027 042572 subf #1e 3,ac0 ; accepted by MACRO11 as 1E3 (but not 1 e3, 1 e 3) 177 000001 a = 1 178 000003 e3 = 3 179 001134 173027 000001 subf #a,ac0 ; a interpreted as bit pattern 180 001140 173027 000001 subf #,ac0 ; a interpreted as bit pattern 181 001144 173027 000003 subf #e3,ac0 ; e3 is the label test-float.mac:182: ***ERROR Invalid addressing mode (1st operand, fsrc: Invalid expression after '#') 182 subf #<1e3>,ac0 ; error N 183 test-float.mac:184: ***ERROR Junk at end of line ('5 ; bad: ') 184 001150 170627 000002 absf #2.5 ; bad: operand is destination test-float.mac:185: ***ERROR Junk at end of line ('5 ; bad: ') 185 001154 170527 000002 tstd #2.5 ; bad: operand is considered FDST by the arch handbook test-float.mac:186: ***ERROR Junk at end of line ('5 ; bad: junk') 186 001160 174027 000002 stf ac0,#2.5 ; bad: junk at end of line 187 001164 174027 000002 stf ac0,#2 ; doesn't makes sense but MACRO11 allows it 188 189 ; Test immediate source argument for instructions that have one (src or fsrc) 190 191 001170 172027 040200 addd #1,ac0 ; float 192 001174 172027 040200 addf #1,ac0 ; float 193 001200 173427 040200 cmpd #1,ac0 ; float 194 001204 173427 040200 cmpf #1,ac0 ; float 195 001210 174427 040200 divd #1,ac0 ; float 196 001214 174427 040200 divf #1,ac0 ; float 197 001220 177427 040200 ldcdf #1,ac0 ; float 198 001224 177427 040200 ldcfd #1,ac0 ; float 199 001230 177027 000001 ldcid #1,ac0 ; integer 200 001234 177027 000001 ldcif #1,ac0 ; integer 201 001240 177027 000001 ldcld #1,ac0 ; integer 202 001244 177027 000001 ldclf #1,ac0 ; integer 203 001250 172427 040200 ldd #1,ac0 ; float 204 001254 172427 040200 ldf #1,ac0 ; float 205 001260 176427 000001 ldexp #1,ac0 ; integer 206 001264 171427 040200 modd #1,ac0 ; float 207 001270 171427 040200 modf #1,ac0 ; float 208 001274 171027 040200 muld #1,ac0 ; float 209 001300 171027 040200 mulf #1,ac0 ; float 210 001304 173027 040200 subd #1,ac0 ; float 211 001310 173027 040200 subf #1,ac0 ; float 212 213 .end 213 Symbol table . 001314R 001 AC0 =%000000 E3 = 000003 A = 000001 AC1 =%000001 F2 =%000002 Program sections: . ABS. 000000 000 (RW,I,GBL,ABS,OVR,NOSAV) 001314 001 (RW,I,LCL,REL,CON,NOSAV)