684 lines
11 KiB
Plaintext
684 lines
11 KiB
Plaintext
;
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; Copyright 1992 by Jutta Degener and Carsten Bormann, Technische
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; Universitaet Berlin. See the accompanying file "COPYRIGHT" for
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; details. THERE IS ABSOLUTELY NO WARRANTY FOR THIS SOFTWARE.
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;
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;
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; Lines starting with ' (in the first col) are echoed.
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; Lines starting with " (in the first col) are echoed to stderr.
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; Lines starting with ; or empty lines are ignored.
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;
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; The part after (including) a trailing '=' is what you expect;
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; there will be output if the result is different.
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;
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; - and + by itself mean MIN_WORD and MAX_WORD, respectively;
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; -- and ++ mean MIN_LONGWORD and MAX_LONGWORD.
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;
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'test the basic arithmetic operations used for the rpe-ltd filtering.
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'
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'add ================
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' basic
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add 0 0 = 0
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add 7 4 = 11
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add 4 6 = 10
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add 1 1 = 2
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' negative operands
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add -7 4 = -3
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add 4 -6 = -2
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add -1 -3 = -4
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add 7 -4 = 3
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add -4 6 = 2
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' positive overflow
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; (max-word = 32767)
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add + 1 = +
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add + + = +
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add -1 + = 32766
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add 32766 2 = +
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add 1 32766 = +
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' underflow
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; (min-word = 32768)
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add - -1 = -
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add - - = -
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add 1 - = -32767
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add -32767 -2 = -
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add -1 -32766 = -32767
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add -32767 -1 = -
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add - + = -1
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add + - = -1
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add 0 - = -
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add 0 + = +
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'
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'L_add ================
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' basic
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L_add 0 0 = 0
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L_add 7 4 = 11
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L_add 4 6 = 10
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L_add 1 1 = 2
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' negative operands
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L_add -7 4 = -3
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L_add 4 -6 = -2
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L_add -1 -3 = -4
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L_add 7 -4 = 3
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L_add -4 6 = 2
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L_add 0 -1 = -1
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' positive overflow
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; (max-longword = 2147483647)
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L_add ++ 1 = ++
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L_add ++ ++ = ++
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L_add -1 ++ = 2147483646
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L_add 2147483646 2 = ++
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L_add 1 2147483645 = 2147483646
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' underflow
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; (min-longword = -2147483648)
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L_add -- -1 = --
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L_add -- -- = --
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L_add 1 -- = -2147483647
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L_add -2147483647 -2 = --
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L_add -1 -2147483646 = -2147483647
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L_add -2147483647 -1 = --
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L_add -- ++ = -1
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L_add ++ -- = -1
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L_add 0 -- = --
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L_add 0 ++ = ++
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'
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'sub ================
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' basic
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sub 0 0 = 0
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sub 7 4 = 3
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sub 4 6 = -2
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sub 1 0 = 1
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' negative operands
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sub -7 4 = -11
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sub 4 -6 = 10
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sub -1 -3 = 2
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sub 7 -4 = 11
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sub -4 6 = -10
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' positive overflow
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; (max-word = 32767)
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sub 1 - = +
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sub + + = 0
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sub + 0 = +
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sub + -1 = +
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sub + 1 = 32766
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sub 1 + = -32766
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sub 0 + = -32767
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' underflow
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; (min-word = 32768)
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sub - -1 = -32767
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sub - 1 = -
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sub - - = 0
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sub - + = -
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sub + - = +
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sub 1 - = +
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sub -1 - = +
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sub -32767 2 = -
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sub 0 - = +
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'
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'L_sub ================
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' basic
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L_sub 0 0 = 0
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L_sub 7 4 = 3
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L_sub 4 6 = -2
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L_sub 1 0 = 1
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' negative operands
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L_sub -7 4 = -11
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L_sub 4 -6 = 10
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L_sub -1 -3 = 2
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L_sub 7 -4 = 11
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L_sub -4 6 = -10
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' positive overflow
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L_sub 1 -- = ++
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L_sub ++ ++ = 0
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L_sub ++ 0 = ++
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L_sub ++ -1 = ++
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L_sub ++ 1 = 2147483646
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L_sub 1 ++ = -2147483646
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L_sub 0 ++ = -2147483647
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' underflow
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L_sub -- -1 = -2147483647
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L_sub -- 1 = --
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L_sub -- -- = 0
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L_sub -- ++ = --
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L_sub + -- = ++
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L_sub 1 -- = ++
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L_sub -1 -- = ++
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L_sub -2147483647 2 = --
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L_sub 0 -- = ++
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'
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'abs ================
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' basic
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abs 0 = 0
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abs 2 = 2
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abs -459 = 459
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' overflow
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abs + = +
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abs - = +
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abs -32767 = +
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abs 32766 = 32766
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abs -32766 = 32766
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'
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'mult ================
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; actually, a * b >> 15
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' basic
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mult 0 0 = 0
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mult 0x100 0x100 = 2
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mult 4711 0x4000 = 2355
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' negative operands
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mult -1 0 = 0
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mult -0x100 0x100 = -2
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mult 0x100 -0x100 = -2
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mult -0x100 -0x100 = 2
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mult -4711 0x4000 = -2356
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mult 4711 -0x4000 = -2356
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mult -4711 -0x4000 = 2355
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' overflow
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mult + + = 32766
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mult + 0x4000 = 0x3fff
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mult 0x4000 + = 0x3fff
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mult + 1 = 0
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mult + 2 = 1
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mult + 3 = 2
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' underflow
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mult - - = +
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mult - + = -32767
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mult + - = -32767
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mult - 1 = -1
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mult - 2 = -2
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mult - 3 = -3
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'
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'mult_r ================
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; actually, (a * b + 16384) >> 15
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' basic
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mult_r 0 0 = 0
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mult_r 0x100 0x100 = 2
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mult_r 4711 0x4000 = 2356
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' negative operands
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mult_r -1 0 = 0
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mult_r -0x100 0x100 = -2
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mult_r 0x100 -0x100 = -2
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mult_r -0x100 -0x100 = 2
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mult_r -4711 0x4000 = -2355
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mult_r 4711 -0x4000 = -2355
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mult_r -4711 -0x4000 = 2356
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' overflow
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mult_r + + = 32766
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mult_r + 32766 = 32765
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mult_r 32766 + = 32765
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mult_r + 0x4000 = 0x4000
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mult_r 0x4000 + = 0x4000
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mult_r + 0x4001 = 0x4000
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mult_r 0x4001 + = 0x4000
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mult_r + 2 = 2
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mult_r + 1 = 1
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mult_r 1 + = 1
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mult_r + 0 = 0
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mult_r 0 + = 0
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' underflow
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mult_r - - = +
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mult_r - + = -32767
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mult_r + - = -32767
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mult_r - 1 = -1
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mult_r - 2 = -2
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mult_r - 3 = -3
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'
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'L_mult ================
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; actually, (a * b) << 1
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; assert (a != MIN_WORD && b != MIN_WORD)
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' basic
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L_mult 0 0 = 0
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L_mult 2 3 = 12
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L_mult 4711 5 = 47110
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' negative operands
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L_mult -2 3 = -12
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L_mult 2 -3 = -12
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L_mult -2 -3 = 12
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L_mult -4711 5 = -47110
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L_mult 4711 -5 = -47110
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L_mult -4711 -5 = 47110
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' overflow
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L_mult + + = 2147352578
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L_mult + -32767 = -2147352578
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L_mult -32767 + = -2147352578
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L_mult + 2 = 131068
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L_mult + 1 = 65534
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L_mult 1 + = 65534
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L_mult + 0 = 0
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L_mult 0 + = 0
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'
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'div ================
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; actually, (32767 * a) / b
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; assert (a > 0 && b >= a)
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' basic
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div 1 1 = +
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div 4711 4711 = +
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div 5 10 = 0x4000
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div 5 20 = 0x2000
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div 5 40 = 0x1000
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' overflow
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div + + = +
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div 0x4000 + = 0x4000
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div 1 + = 1
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div 1 2 = 0x4000
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'
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'norm ================
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' positive
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norm 1 = 30
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norm 2 = 29
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norm 3 = 29
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norm 4 = 28
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norm 5 = 28
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; etc, etc...
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norm 0x08000000 = 3
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norm 0x10000000 = 2
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norm 0x20000000 = 1
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norm 0x20000001 = 1
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norm 0x3fffffff = 1
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norm 0x40000000 = 0
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norm 0x40000001 = 0
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norm 0x4ffffffe = 0
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norm ++ = 0
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' negative
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norm -1 = 31
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norm -2 = 30
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norm -3 = 29
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norm -4 = 29
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norm -5 = 28
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; etc, etc...
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norm 0x4fffffff = 0
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norm -- = 0
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'
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'>> ================
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' basic
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>> 1 1 = 0
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>> 4 2 = 1
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>> 0x1100 5 = 0x88
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' negative operand
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>> 1 -1 = 2
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>> 1 -2 = 4
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>> 0x88 -5 = 0x1100
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' overflow
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>> -1 4711 = -1
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>> 1 4711 = 0
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>> -4711 4711 = -1
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>> 4711 4711 = 0
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>> + 1 = 16383
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>> - 1 = -16384
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'
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'L_>> ================
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' basic
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L_>> 1 1 = 0
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L_>> 4 2 = 1
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L_>> 0x1100 5 = 0x88
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' negative operand
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L_>> 1 -1 = 2
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L_>> 1 -2 = 4
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L_>> 0x88 -5 = 0x1100
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' overflow
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L_>> -1 4711 = -1
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L_>> 1 4711 = 0
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L_>> -4711 4711 = -1
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L_>> 4711 4711 = 0
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L_>> ++ 1 = 1073741823
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L_>> -- 1 = -1073741824
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'
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'<< ================
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' basic
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<< 1 1 = 2
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<< 4 2 = 16
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<< 0x0088 5 = 0x1100
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' negative operand
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<< 1 -1 = 0
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<< 4 -2 = 1
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<< 0x1100 -5 = 0x0088
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' overflow
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<< -1 4711 = 0
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<< 1 4711 = 0
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<< -4711 4711 = 0
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<< 4711 4711 = 0
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<< 4711 -4711 = 0
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<< -4711 -4711 = -1
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<< + 1 = 0xfffe
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<< -1 1 = 0xfffe
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<< - 1 = 0
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'
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'L_<< ================
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' basic
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L_<< 1 1 = 2
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L_<< 4 2 = 16
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L_<< 0x0088 5 = 0x1100
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' negative operand
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L_<< 1 -1 = 0
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L_<< 4 -2 = 1
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L_<< 0x1100 -5 = 0x0088
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' overflow
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L_<< -1 4711 = 0
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L_<< 1 4711 = 0
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L_<< -4711 4711 = 0
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L_<< 4711 4711 = 0
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L_<< 4711 -4711 = 0
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L_<< -4711 -4711 = -1
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L_<< ++ 1 = -2
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L_<< -1 1 = -2
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L_<< -- 1 = 0
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'macros
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'
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'add ================
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' basic
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M_add 0 0 = 0
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M_add 7 4 = 11
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M_add 4 6 = 10
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M_add 1 1 = 2
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' negative operands
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M_add -7 4 = -3
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M_add 4 -6 = -2
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M_add -1 -3 = -4
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M_add 7 -4 = 3
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M_add -4 6 = 2
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' positive overflow
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; (max-word = 32767)
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M_add + 1 = +
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M_add + + = +
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M_add -1 + = 32766
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M_add 32766 2 = +
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M_add 1 32766 = +
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' underflow
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; (min-word = 32768)
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M_add - -1 = -
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M_add - - = -
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M_add 1 - = -32767
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M_add -32767 -2 = -
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M_add -1 -32766 = -32767
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M_add -32767 -1 = -
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M_add - + = -1
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M_add + - = -1
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M_add 0 - = -
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M_add 0 + = +
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'
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'L_add ================
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' basic
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M_L_add 0 0 = 0
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M_L_add 7 4 = 11
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M_L_add 4 6 = 10
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M_L_add 1 1 = 2
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' negative operands
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M_L_add -7 4 = -3
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M_L_add 4 -6 = -2
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M_L_add -1 -3 = -4
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M_L_add 7 -4 = 3
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M_L_add -4 6 = 2
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M_L_add 0 -1 = -1
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' positive overflow
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; (max-longword = 2147483647)
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M_L_add ++ 1 = ++
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M_L_add ++ ++ = ++
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M_L_add -1 ++ = 2147483646
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M_L_add 2147483646 2 = ++
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M_L_add 1 2147483645 = 2147483646
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' underflow
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; (min-longword = -2147483648)
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M_L_add -- -1 = --
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M_L_add -- -- = --
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M_L_add 1 -- = -2147483647
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M_L_add -2147483647 -2 = --
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M_L_add -1 -2147483646 = -2147483647
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M_L_add -2147483647 -1 = --
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M_L_add -- ++ = -1
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M_L_add ++ -- = -1
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M_L_add 0 -- = --
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M_L_add 0 ++ = ++
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'
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'sub ================
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' basic
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M_sub 0 0 = 0
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M_sub 7 4 = 3
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M_sub 4 6 = -2
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M_sub 1 0 = 1
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' negative operands
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M_sub -7 4 = -11
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M_sub 4 -6 = 10
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M_sub -1 -3 = 2
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M_sub 7 -4 = 11
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M_sub -4 6 = -10
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' positive overflow
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; (max-word = 32767)
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M_sub 1 - = +
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M_sub + + = 0
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M_sub + 0 = +
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M_sub + -1 = +
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M_sub + 1 = 32766
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M_sub 1 + = -32766
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M_sub 0 + = -32767
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' underflow
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; (min-word = 32768)
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M_sub - -1 = -32767
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M_sub - 1 = -
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M_sub - - = 0
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M_sub - + = -
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M_sub + - = +
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M_sub 1 - = +
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M_sub -1 - = +
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M_sub -32767 2 = -
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M_sub 0 - = +
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'
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'
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'abs ================
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' basic
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M_abs 0 = 0
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M_abs 2 = 2
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M_abs -459 = 459
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' overflow
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M_abs + = +
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M_abs - = +
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M_abs -32767 = +
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M_abs 32766 = 32766
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M_abs -32766 = 32766
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'
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'mult ================
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; actually, a * b >> 15
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' basic
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M_mult 0 0 = 0
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M_mult 0x100 0x100 = 2
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M_mult 4711 0x4000 = 2355
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' negative operands
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M_mult -1 0 = 0
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M_mult -0x100 0x100 = -2
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M_mult 0x100 -0x100 = -2
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M_mult -0x100 -0x100 = 2
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M_mult -4711 0x4000 = -2356
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M_mult 4711 -0x4000 = -2356
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M_mult -4711 -0x4000 = 2355
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' overflow
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M_mult + + = 32766
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M_mult + 0x4000 = 0x3fff
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M_mult 0x4000 + = 0x3fff
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M_mult + 1 = 0
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M_mult + 2 = 1
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M_mult + 3 = 2
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' underflow
|
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; M_mult - - = + assert !(a == b && b == MIN_WORD)
|
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M_mult - -32767 = +
|
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M_mult -32767 - = +
|
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M_mult - + = -32767
|
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M_mult + - = -32767
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M_mult - 1 = -1
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M_mult - 2 = -2
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M_mult - 3 = -3
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'
|
|
'mult_r ================
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; actually, (a * b + 16384) >> 15
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|
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' basic
|
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M_mult_r 0 0 = 0
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M_mult_r 0x100 0x100 = 2
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M_mult_r 4711 0x4000 = 2356
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' negative operands
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M_mult_r -1 0 = 0
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|
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M_mult_r -0x100 0x100 = -2
|
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M_mult_r 0x100 -0x100 = -2
|
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M_mult_r -0x100 -0x100 = 2
|
|
|
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M_mult_r -4711 0x4000 = -2355
|
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M_mult_r 4711 -0x4000 = -2355
|
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M_mult_r -4711 -0x4000 = 2356
|
|
|
|
' overflow
|
|
M_mult_r + + = 32766
|
|
M_mult_r + 32766 = 32765
|
|
M_mult_r 32766 + = 32765
|
|
M_mult_r + 0x4000 = 0x4000
|
|
M_mult_r 0x4000 + = 0x4000
|
|
M_mult_r + 0x4001 = 0x4000
|
|
M_mult_r 0x4001 + = 0x4000
|
|
M_mult_r + 2 = 2
|
|
M_mult_r + 1 = 1
|
|
M_mult_r 1 + = 1
|
|
M_mult_r + 0 = 0
|
|
M_mult_r 0 + = 0
|
|
|
|
' underflow
|
|
; M_mult_r - - = + assert !(a == b && b == MIN_WORD)
|
|
M_mult_r - -32767 = +
|
|
M_mult_r -32767 - = +
|
|
M_mult_r - + = -32767
|
|
M_mult_r + - = -32767
|
|
M_mult_r - 1 = -1
|
|
M_mult_r - 2 = -2
|
|
M_mult_r - 3 = -3
|
|
|
|
'
|
|
'L_mult ================
|
|
; actually, (a * b) << 1
|
|
; assert (a != MIN_WORD && b != MIN_WORD)
|
|
|
|
' basic
|
|
M_L_mult 0 0 = 0
|
|
M_L_mult 2 3 = 12
|
|
M_L_mult 4711 5 = 47110
|
|
|
|
' negative operands
|
|
|
|
M_L_mult -2 3 = -12
|
|
M_L_mult 2 -3 = -12
|
|
M_L_mult -2 -3 = 12
|
|
M_L_mult -4711 5 = -47110
|
|
M_L_mult 4711 -5 = -47110
|
|
M_L_mult -4711 -5 = 47110
|
|
|
|
' overflow
|
|
M_L_mult + + = 2147352578
|
|
M_L_mult + -32767 = -2147352578
|
|
M_L_mult -32767 + = -2147352578
|
|
M_L_mult + 2 = 131068
|
|
M_L_mult + 1 = 65534
|
|
M_L_mult 1 + = 65534
|
|
M_L_mult + 0 = 0
|
|
M_L_mult 0 + = 0
|
|
|