mirror of
https://github.com/netwide-assembler/nasm.git
synced 2025-10-10 00:25:06 -04:00
a30acb52cd
Add tests for the case where we round upwards to reach the smallest possible denorm, i.e. "saved from underflow by rounding."
526 lines
12 KiB
NASM
526 lines
12 KiB
NASM
;
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; floatx.asm
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;
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; Test hexadecimal floating-point numbers
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%define Inf __Infinity__
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%define NaN __QNaN__
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; 16-bit
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dw 1.0
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dw 0x1.0
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dw 2.0
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dw 0x2.0
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dw 0x1.0p+1
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dw 0x1.0p-1
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dw 0x0.0
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dw 0x1.23456789
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dw 0x0.123456789
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dw 0x0.0000123456789
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dw 0x1.23456789p10
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dw 0x1.23456789p+10
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dw 0x1.23456789p-10
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dw 0x0.123456789p10
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dw 0x0.123456789p+10
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dw 0x0.123456789abcdef0123456789abcdef012345p-10
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dw 0x0.0000123456789
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dw 0x0.0000123456789p+10
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dw 0x0.0000123456789p-10
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dw 0x1.0p-25 ; Underflow
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dw 0x1.01p-25 ; Rounds to denorm
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dw 0x1.0p-24 ; Smallest denorm
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dw 0x1.ffffffffffffffffffffffffffffp-16 ; Rounds to denorm
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dw 0x1.0p-15 ; Denorm
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dw 0x1.ffffffffffffffffffffffffffffp-15 ; Rounds to normal
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dw 0x1.0p-14 ; Smallest non-denorm
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dw 0x1.0p+15 ; Biggest possible exponent
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dw 0x1.ffffffffffffffffffffffffffffp+15 ; Rounds to infinity
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dw Inf ; Infinity
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dw NaN
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; 32-bit
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dd 1.0
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dd 0x1.0
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dd 2.0
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dd 0x2.0
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dd 0x1.0p+1
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dd 0x1.0p-1
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dd 0x0.0
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dd 0x1.23456789
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dd 0x0.123456789
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dd 0x0.0000123456789
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dd 0x1.23456789p10
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dd 0x1.23456789p+10
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dd 0x1.23456789p-10
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dd 0x0.123456789p10
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dd 0x0.123456789p+10
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dd 0x0.123456789abcdef0123456789abcdef012345p-10
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dd 0x0.0000123456789
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dd 0x0.0000123456789p+10
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dd 0x0.0000123456789p-10
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dd 0x123456789.0
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dd 0x0000123456789.0
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dd 0x123456789.0p+0
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dd 0x123456789.0p+64
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dd 0x1.0p-150 ; Underflow
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dd 0x1.01p-150 ; Rounds to denorm
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dd 0x1.0p-149 ; Smallest denorm
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dd 0x1.ffffffffffffffffffffffffffffp-128 ; Rounds to denorm
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dd 0x1.0p-127 ; Denorm
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dd 0x1.ffffffffffffffffffffffffffffp-127 ; Rounds to normal
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dd 0x1.0p-126 ; Smallest non-denorm
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dd 0x1.0p+127 ; Biggest possible exponent
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dd 0x1.ffffffffffffffffffffffffffffp+127 ; Rounds to infinity
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dd Inf ; Infinity
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dd NaN
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; 64-bit
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dq 1.0
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dq 0x1.0
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dq 2.0
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dq 0x2.0
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dq 0x1.0p+1
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dq 0x1.0p-1
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dq 0x0.0
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dq 0x1.23456789
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dq 0x0.123456789
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dq 0x0.0000123456789
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dq 0x1.23456789p10
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dq 0x1.23456789p+10
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dq 0x1.23456789p-10
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dq 0x0.123456789p10
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dq 0x0.123456789p+10
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dq 0x0.123456789abcdef0123456789abcdef012345p-10
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dq 0x0.0000123456789
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dq 0x0.0000123456789p+10
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dq 0x0.0000123456789p-10
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dq 0x123456789.0
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dq 0x0000123456789.0
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dq 0x123456789.0p+0
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dq 0x123456789.0p+300
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dq 0x1.0p-1075 ; Underflow
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dq 0x1.01p-1075 ; Rounds to denorm
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dq 0x1.0p-1074 ; Smallest denorm
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dq 0x1.ffffffffffffffffffffffffffffp-1024 ; Rounds to denorm
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dq 0x1.0p-1023 ; Denorm
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dq 0x1.ffffffffffffffffffffffffffffp-1023 ; Rounds to normal
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dq 0x1.0p-1022 ; Smallest non-denorm
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dq 0x1.0p+1023 ; Biggest possible exponent
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dq 0x1.ffffffffffffffffffffffffffffp+1023 ; Rounds to infinity
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dq Inf ; Infinity
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dq NaN
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; 80-bit
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dt 1.0
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dt 0x1.0
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dt 2.0
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dt 0x2.0
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dt 0x1.0p+1
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dt 0x1.0p-1
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dt 0x0.0
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dt 0x1.23456789
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dt 0x0.123456789
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dt 0x0.0000123456789
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dt 0x1.23456789p10
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dt 0x1.23456789p+10
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dt 0x1.23456789p-10
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dt 0x0.123456789p10
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dt 0x0.123456789p+10
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dt 0x0.123456789abcdef0123456789abcdef012345p-10
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dt 0x0.0000123456789
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dt 0x0.0000123456789p+10
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dt 0x0.0000123456789p-10
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dt 0x123456789.0
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dt 0x0000123456789.0
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dt 0x123456789.0p+0
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dt 0x123456789.0p+1024
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dt 0x1.0p-16446 ; Underflow
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dt 0x1.01p-16446 ; Rounds to denorm
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dt 0x1.0p-16445 ; Smallest denorm
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dt 0x1.ffffffffffffffffffffffffffffp-16384 ; Rounds to denorm
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dt 0x1.0p-16383 ; Denorm
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dt 0x1.ffffffffffffffffffffffffffffp-16383 ; Rounds to normal
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dt 0x1.0p-16382 ; Smallest non-denorm
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dt 0x1.0p+16383 ; Biggest possible exponent
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dt 0x1.ffffffffffffffffffffffffffffp+16383 ; Rounds to infinity
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dt Inf ; Infinity
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dt NaN
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; 128-bit
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do 1.0
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do 0x1.0
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do 2.0
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do 0x2.0
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do 0x1.0p+1
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do 0x1.0p-1
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do 0x0.0
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do 0x1.23456789
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do 0x0.123456789
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do 0x0.0000123456789
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do 0x1.23456789p10
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do 0x1.23456789p+10
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do 0x1.23456789p-10
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do 0x0.123456789p10
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do 0x0.123456789p+10
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do 0x0.123456789abcdef0123456789abcdef012345p-10
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do 0x0.0000123456789
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do 0x0.0000123456789p+10
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do 0x0.0000123456789p-10
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do 0x123456789.0
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do 0x0000123456789.0
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do 0x123456789.0p+0
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do 0x123456789.0p+1024
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do 0x1.0p-16495 ; Underflow
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do 0x1.01p-16495 ; Rounds to denorm
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do 0x1.0p-16494 ; Smallest denorm
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do 0x1.ffffffffffffffffffffffffffffffffp-16384 ; Rounds to denorm
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do 0x1.0p-16383 ; Denorm
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do 0x1.ffffffffffffffffffffffffffffffffp-16383 ; Rounds to normal
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do 0x1.0p-16382 ; Smallest non-denorm
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do 0x1.0p+16383 ; Biggest possible exponent
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do 0x1.ffffffffffffffffffffffffffffffffp+16383 ; Rounds to infinity
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do Inf ; Infinity
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do NaN
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; 16-bit
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dw 1.0
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dw 0h1.0
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dw 2.0
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dw 0h2.0
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dw 0h1.0p+1
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dw 0h1.0p-1
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dw 0h0.0
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dw 0h1.23456789
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dw 0h0.123456789
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dw 0h0.0000123456789
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dw 0h1.23456789p10
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dw 0h1.23456789p+10
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dw 0h1.23456789p-10
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dw 0h0.123456789p10
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dw 0h0.123456789p+10
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dw 0h0.123456789abcdef0123456789abcdef012345p-10
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dw 0h0.0000123456789
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dw 0h0.0000123456789p+10
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dw 0h0.0000123456789p-10
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dw 0h1.0p-25 ; Underflow
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dw 0h1.0p-24 ; Smallest denorm
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dw 0h1.ffffffffffffffffffffffffffffp-16 ; Rounds to denorm
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dw 0h1.0p-15 ; Denorm
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dw 0h1.ffffffffffffffffffffffffffffp-15 ; Rounds to normal
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dw 0h1.0p-14 ; Smallest non-denorm
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dw 0h1.0p+15 ; Biggest possible exponent
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dw 0h1.ffffffffffffffffffffffffffffp+15 ; Rounds to infinity
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dw Inf ; Infinity
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dw NaN
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; 32-bit
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dd 1.0
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dd 0h1.0
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dd 2.0
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dd 0h2.0
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dd 0h1.0p+1
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dd 0h1.0p-1
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dd 0h0.0
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dd 0h1.23456789
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dd 0h0.123456789
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dd 0h0.0000123456789
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dd 0h1.23456789p10
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dd 0h1.23456789p+10
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dd 0h1.23456789p-10
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dd 0h0.123456789p10
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dd 0h0.123456789p+10
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dd 0h0.123456789abcdef0123456789abcdef012345p-10
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dd 0h0.0000123456789
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dd 0h0.0000123456789p+10
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dd 0h0.0000123456789p-10
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dd 0h123456789.0
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dd 0h0000123456789.0
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dd 0h123456789.0p+0
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dd 0h123456789.0p+64
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dd 0h1.0p-150 ; Underflow
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dd 0h1.0p-149 ; Smallest denorm
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dd 0h1.ffffffffffffffffffffffffffffp-128 ; Rounds to denorm
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dd 0h1.0p-127 ; Denorm
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dd 0h1.ffffffffffffffffffffffffffffp-127 ; Rounds to normal
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dd 0h1.0p-126 ; Smallest non-denorm
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dd 0h1.0p+127 ; Biggest possible exponent
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dd 0h1.ffffffffffffffffffffffffffffp+127 ; Rounds to infinity
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dd Inf ; Infinity
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dd NaN
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; 64-bit
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dq 1.0
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dq 0h1.0
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dq 2.0
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dq 0h2.0
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dq 0h1.0p+1
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dq 0h1.0p-1
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dq 0h0.0
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dq 0h1.23456789
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dq 0h0.123456789
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dq 0h0.0000123456789
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dq 0h1.23456789p10
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dq 0h1.23456789p+10
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dq 0h1.23456789p-10
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dq 0h0.123456789p10
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dq 0h0.123456789p+10
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dq 0h0.123456789abcdef0123456789abcdef012345p-10
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dq 0h0.0000123456789
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dq 0h0.0000123456789p+10
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dq 0h0.0000123456789p-10
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dq 0h123456789.0
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dq 0h0000123456789.0
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dq 0h123456789.0p+0
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dq 0h123456789.0p+300
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dq 0h1.0p-1075 ; Underflow
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dq 0h1.0p-1074 ; Smallest denorm
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dq 0h1.ffffffffffffffffffffffffffffp-1024 ; Rounds to denorm
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dq 0h1.0p-1023 ; Denorm
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dq 0h1.ffffffffffffffffffffffffffffp-1023 ; Rounds to normal
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dq 0h1.0p-1022 ; Smallest non-denorm
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dq 0h1.0p+1023 ; Biggest possible exponent
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dq 0h1.ffffffffffffffffffffffffffffp+1023 ; Rounds to infinity
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dq Inf ; Infinity
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dq NaN
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; 80-bit
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dt 1.0
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dt 0h1.0
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dt 2.0
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dt 0h2.0
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dt 0h1.0p+1
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dt 0h1.0p-1
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dt 0h0.0
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dt 0h1.23456789
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dt 0h0.123456789
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dt 0h0.0000123456789
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dt 0h1.23456789p10
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dt 0h1.23456789p+10
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dt 0h1.23456789p-10
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dt 0h0.123456789p10
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dt 0h0.123456789p+10
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dt 0h0.123456789abcdef0123456789abcdef012345p-10
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dt 0h0.0000123456789
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dt 0h0.0000123456789p+10
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dt 0h0.0000123456789p-10
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dt 0h123456789.0
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dt 0h0000123456789.0
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dt 0h123456789.0p+0
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dt 0h123456789.0p+1024
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dt 0h1.0p-16446 ; Underflow
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dt 0h1.0p-16445 ; Smallest denorm
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dt 0h1.ffffffffffffffffffffffffffffp-16384 ; Rounds to denorm
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dt 0h1.0p-16383 ; Denorm
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dt 0h1.ffffffffffffffffffffffffffffp-16383 ; Rounds to normal
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dt 0h1.0p-16382 ; Smallest non-denorm
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dt 0h1.0p+16383 ; Biggest possible exponent
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dt 0h1.ffffffffffffffffffffffffffffp+16383 ; Rounds to infinity
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dt Inf ; Infinity
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dt NaN
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; 128-bit
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do 1.0
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do 0h1.0
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do 2.0
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do 0h2.0
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do 0h1.0p+1
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do 0h1.0p-1
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do 0h0.0
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do 0h1.23456789
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do 0h0.123456789
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do 0h0.0000123456789
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do 0h1.23456789p10
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do 0h1.23456789p+10
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do 0h1.23456789p-10
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do 0h0.123456789p10
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do 0h0.123456789p+10
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do 0h0.123456789abcdef0123456789abcdef012345p-10
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do 0h0.0000123456789
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do 0h0.0000123456789p+10
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do 0h0.0000123456789p-10
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do 0h123456789.0
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do 0h0000123456789.0
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do 0h123456789.0p+0
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do 0h123456789.0p+1024
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do 0h1.0p-16495 ; Underflow
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do 0h1.0p-16494 ; Smallest denorm
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do 0h1.ffffffffffffffffffffffffffffffffp-16384 ; Rounds to denorm
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do 0h1.0p-16383 ; Denorm
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do 0h1.ffffffffffffffffffffffffffffffffp-16383 ; Rounds to normal
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do 0h1.0p-16382 ; Smallest non-denorm
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do 0h1.0p+16383 ; Biggest possible exponent
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do 0h1.ffffffffffffffffffffffffffffffffp+16383 ; Rounds to infinity
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do Inf ; Infinity
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do NaN
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; 16-bit
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dw 1.0
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dw $1.0
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dw 2.0
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dw $2.0
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dw $1.0p+1
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dw $1.0p-1
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dw $0.0
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dw $1.23456789
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dw $0.123456789
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dw $0.0000123456789
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dw $1.23456789p10
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dw $1.23456789p+10
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dw $1.23456789p-10
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dw $0.123456789p10
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dw $0.123456789p+10
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dw $0.123456789abcdef0123456789abcdef012345p-10
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dw $0.0000123456789
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dw $0.0000123456789p+10
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dw $0.0000123456789p-10
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dw $1.0p-25 ; Underflow
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dw $1.0p-24 ; Smallest denorm
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dw $1.ffffffffffffffffffffffffffffp-16 ; Rounds to denorm
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dw $1.0p-15 ; Denorm
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dw $1.ffffffffffffffffffffffffffffp-15 ; Rounds to normal
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dw $1.0p-14 ; Smallest non-denorm
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dw $1.0p+15 ; Biggest possible exponent
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dw $1.ffffffffffffffffffffffffffffp+15 ; Rounds to infinity
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dw Inf ; Infinity
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dw NaN
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; 32-bit
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dd 1.0
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dd $1.0
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dd 2.0
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dd $2.0
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dd $1.0p+1
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dd $1.0p-1
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dd $0.0
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dd $1.23456789
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dd $0.123456789
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dd $0.0000123456789
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dd $1.23456789p10
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dd $1.23456789p+10
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dd $1.23456789p-10
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dd $0.123456789p10
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dd $0.123456789p+10
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dd $0.123456789abcdef0123456789abcdef012345p-10
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dd $0.0000123456789
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dd $0.0000123456789p+10
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dd $0.0000123456789p-10
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dd $123456789.0
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dd $0000123456789.0
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dd $123456789.0p+0
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dd $123456789.0p+64
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dd $1.0p-150 ; Underflow
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dd $1.0p-149 ; Smallest denorm
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dd $1.ffffffffffffffffffffffffffffp-128 ; Rounds to denorm
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dd $1.0p-127 ; Denorm
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dd $1.ffffffffffffffffffffffffffffp-127 ; Rounds to normal
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dd $1.0p-126 ; Smallest non-denorm
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dd $1.0p+127 ; Biggest possible exponent
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dd $1.ffffffffffffffffffffffffffffp+127 ; Rounds to infinity
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dd Inf ; Infinity
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dd NaN
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; 64-bit
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dq 1.0
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dq $1.0
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dq 2.0
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dq $2.0
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dq $1.0p+1
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dq $1.0p-1
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dq $0.0
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dq $1.23456789
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dq $0.123456789
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dq $0.0000123456789
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dq $1.23456789p10
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dq $1.23456789p+10
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dq $1.23456789p-10
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dq $0.123456789p10
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dq $0.123456789p+10
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dq $0.123456789abcdef0123456789abcdef012345p-10
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dq $0.0000123456789
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dq $0.0000123456789p+10
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dq $0.0000123456789p-10
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dq $123456789.0
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dq $0000123456789.0
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dq $123456789.0p+0
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dq $123456789.0p+300
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dq $1.0p-1075 ; Underflow
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dq $1.0p-1074 ; Smallest denorm
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dq $1.ffffffffffffffffffffffffffffp-1024 ; Rounds to denorm
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dq $1.0p-1023 ; Denorm
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dq $1.ffffffffffffffffffffffffffffp-1023 ; Rounds to normal
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dq $1.0p-1022 ; Smallest non-denorm
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dq $1.0p+1023 ; Biggest possible exponent
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dq $1.ffffffffffffffffffffffffffffp+1023 ; Rounds to infinity
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dq Inf ; Infinity
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dq NaN
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; 80-bit
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dt 1.0
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dt $1.0
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dt 2.0
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dt $2.0
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dt $1.0p+1
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dt $1.0p-1
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dt $0.0
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dt $1.23456789
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dt $0.123456789
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dt $0.0000123456789
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dt $1.23456789p10
|
|
dt $1.23456789p+10
|
|
dt $1.23456789p-10
|
|
dt $0.123456789p10
|
|
dt $0.123456789p+10
|
|
dt $0.123456789abcdef0123456789abcdef012345p-10
|
|
dt $0.0000123456789
|
|
dt $0.0000123456789p+10
|
|
dt $0.0000123456789p-10
|
|
dt $123456789.0
|
|
dt $0000123456789.0
|
|
dt $123456789.0p+0
|
|
dt $123456789.0p+1024
|
|
dt $1.0p-16446 ; Underflow
|
|
dt $1.0p-16445 ; Smallest denorm
|
|
dt $1.ffffffffffffffffffffffffffffp-16384 ; Rounds to denorm
|
|
dt $1.0p-16383 ; Denorm
|
|
dt $1.ffffffffffffffffffffffffffffp-16383 ; Rounds to normal
|
|
dt $1.0p-16382 ; Smallest non-denorm
|
|
dt $1.0p+16383 ; Biggest possible exponent
|
|
dt $1.ffffffffffffffffffffffffffffp+16383 ; Rounds to infinity
|
|
dt Inf ; Infinity
|
|
dt NaN
|
|
|
|
; 128-bit
|
|
do 1.0
|
|
do $1.0
|
|
do 2.0
|
|
do $2.0
|
|
do $1.0p+1
|
|
do $1.0p-1
|
|
do $0.0
|
|
do $1.23456789
|
|
do $0.123456789
|
|
do $0.0000123456789
|
|
do $1.23456789p10
|
|
do $1.23456789p+10
|
|
do $1.23456789p-10
|
|
do $0.123456789p10
|
|
do $0.123456789p+10
|
|
do $0.123456789abcdef0123456789abcdef012345p-10
|
|
do $0.0000123456789
|
|
do $0.0000123456789p+10
|
|
do $0.0000123456789p-10
|
|
do $123456789.0
|
|
do $0000123456789.0
|
|
do $123456789.0p+0
|
|
do $123456789.0p+1024
|
|
do $1.0p-16495 ; Underflow
|
|
do $1.0p-16494 ; Smallest denorm
|
|
do $1.ffffffffffffffffffffffffffffffffp-16384 ; Rounds to denorm
|
|
do $1.0p-16383 ; Denorm
|
|
do $1.ffffffffffffffffffffffffffffffffp-16383 ; Rounds to normal
|
|
do $1.0p-16382 ; Smallest non-denorm
|
|
do $1.0p+16383 ; Biggest possible exponent
|
|
do $1.ffffffffffffffffffffffffffffffffp+16383 ; Rounds to infinity
|
|
do Inf ; Infinity
|
|
do NaN
|