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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
|