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