The calculator

RuiLoureiro · May 31, 2012, 10:59:09 PM

Hi all
This version is the result of what i learned
till now. Some procedures are now lighter.
Some strategies was corrected.
Now, we have not "division by 0" but infinity.
In this way, 1/(log(10)-1)* 0 gives "Indeterminate form"
and not "division by 0".

Now, it is time for corrections and improvements.
Meanwhile, the calculator should solve any expression. ;)

**** Here is calcula48 v1.08 ****

Calculation rules

1. terms inside parentheses or brackets
2. functions
3. exponents or powers
4. multiplication and division
5. addition and subtraction

note 1: if we end a pair of brackets with !
we must have a positive integer inside: (12-3)!

note 2: the exponents are treated as

a) real: it is the general case
b) integer: enclosed by brackets (1-log(3))^(-2)
c) rational: enclosed by brackets (1-log(3))^(-2/3)

note 3: roots are calculated following this rule:

1. put the expression inside brackets: (log(3)-log(2)*2)
2. put the rational exponent inside brackets: (n/k)
3. use "^"
(log(3)-log(2)*2)^(n/k)

square root: sqr(2*log(2)-log(3))=(2*log(2)-log(3))^(1/2)
= 0.353466740455591 = 0.353466740455591

note 4: exponents or powers are calculated starting at the end

4^3^2: first: 3^2 = 9 second: 4^9 4^3^2 = 262144.0

(4^3)^2 = 64.0 ^2 = 4096.0

We can define:
1. a set of 10 constants: type t=10; s=2.25;u=-2.5e-3;

2. a function: type f(x)=x^2/(1-x)

3. a derivative: type df(x)=2*x-1

4. up to 20 matrices, up to a 20*20 matrix:

a=[1,2,2]; vector column 3 columns
b=[1;2;3]; " line 3 lines
c=[1,2;2,3]; squared matrix

We can solve:
1. Any expression
2. Mean(x1,...,xn): mean(12,13,12,13,14)
3. Factorial and k-combination of n: 12!, comb(12,3)
4. Logarithms of any base: logb(15.2, 5)
5. Quadratic equations: aX^2+bX+c=c0
6. Systems of 2 equations: type aX+bY=c;fX+gY=h;
7. Systems of 3 equations: type aX+bY+cZ=d;fX+gY+hZ=i; jX+kY+mZ=l;
8. Systems of 4 equations: type aX+bY+cZ+dT=f;
gX+hY+iZ+jT=k;
lX+mY+nZ+oT=p;qX+rY+sZ+tT=u;

(note: a,b,c, ... are real numbers)

9. Conversion decimal-binary-hexadecimal - any 64-bit number

conv(11000) = 00002AF8H
conv(11000b)= 24
conv(11000h)= 69632

10. Linear interpolation: type: point(1,2; 3,5) and g(x=2)
or g(y=2)

11. The equation f(x)=0

a) root(x=-20, x=20; n=200)

b) root(x=-20, x=20; d=0.01)

c) root(x=-20, x=20; x=1.2)

note: in root(x=a, x=b; x=X0 ) a, b, X0 can be
-9pi,...,-1pi, -pi, pi, 2pi, 3pi,...,9pi,
-9e,...,-1e, -e, e, 2e, 3e,...,9e.

Matrix operations

. Copy

a=[1, 2; 3, 4]; [press ENTER/COMPUTE]

b=a; [press ENTER/COMPUTE]

Now we have a, b and a equal b

. Addiction

a1=[1, 2; 3, 4]; [press ENTER/COMPUTE]
a2=[5, 6; 7, 8]; [press ENTER/COMPUTE]

a=a1+a2; [press ENTER/COMPUTE]

. Subtraction

a1=[1, 2; 3, 4]; [press ENTER/COMPUTE]
a2=[5, 6; 7, 8]; [press ENTER/COMPUTE]

b=a1-a2; [press ENTER/COMPUTE]

. Multiplication

a1=[1, 2; 3, 4]; [press ENTER/COMPUTE]
a2=[5, 6; 7, 8]; [press ENTER/COMPUTE]

c=a1*a2; [press ENTER/COMPUTE]

. Scalar multiplication

a1=[1, 2; 3, 4]; [press ENTER/COMPUTE]

d=10 * a1; [press ENTER/COMPUTE]

f=+ a1; [press ENTER/COMPUTE]

g=- a1; [press ENTER/COMPUTE]

. Transpose matrix

a1=[1, 2; 3, 4]; [press ENTER/COMPUTE]

b=a1^t; [press ENTER/COMPUTE]
or
b=a1^T; [press ENTER/COMPUTE]

we get b=[ 1.0, 3.0; 2.0, 4.0];

. Inverse matrix

a1=[1, 2; 3, 4]; [press ENTER/COMPUTE]

b=a1^-1; [press ENTER/COMPUTE]
b=inv(a1)

we get b=[-2.0, 1.0; 1.5,-0.5];

. Determinant of a square matrix

. type
delta(a) [press ENTER/COMPUTE]
det(a)

where a is a matrix name

INFINITY and Indeterminate forms

Use 1/0 or (1/0) for generate the infinity

arcsec(1/0)= 1.570796326794897 arctan(1/0)= 1.570796326794897
arctan(1/0)= 1.570796326794897 arccot(1/0)= 0

1.570796326794897 = pi/2

0/0 = Indeterminate form
0^0 = Indeterminate form
(1/0)/(1/0) = Indeterminate form
(1/0)* 0 = Indeterminate form

Detailed questions about pi

Now, when we use pi we dont need to use *

In this way, we can type any expression with pi like

n pi OR +n pi OR -n pi ( n integer )

r pi OR +r pi OR -r pi ( r real, scientific notation)

It is the same as

n*pi, +n*pi, -n*pi ( we dont need to type * )

r*pi, +r*pi, -r*pi ( we dont need to type * )

Symbols

Type list and press ENTER/COMPUTE

Length of an expression or matrix

The calculator supports any expression or
matrix up to 3800 characters.

Memories

The calculator has 6 memories to save any
expression or matrix in the input box.

error function

Some functions use the system error = 1e-3

To set it to 1e-5, type error(1e-5)
and press ENTER/COMPUTE

printing on the paper

. print() prints the last results
. print(a) prints the matrix a

Constant name or Matrix name

. It must start with a letter and it can have
up to 8 characters;

. Type the constant name or the matrix name
and press ENTER/COMPUTE to see its definition or value.

Constants

Any integer or real number, scientific notation
e, +e, -e, pi, +pi, -pi

Keys

. ENTER to compute
. DELETE to clean the input box

. Use Home, End, Ctrl+Home, Ctrl+End etc.
when we have the focus in the input box.

Big expressions... or not

We can use a text editor to type it.
Then we copy and paste it into the edit box.

Some numbers

1700! = 2.99835320555842E+4755
e^10000 = 8.806818225662921E+4342

Try it and say something.
Good luck !
Thanks
Rui Loureiro

EDIT: i decided to replace calcula50 by the new calcula51
See the last post
I made some corrections in Calcula50

calcula51 has a new look

Good luck
Rui Loureiro

EDIT: now we have Calcula55 the version 3.00.1 with new functions and the file of rules RulesV2_20.txt
Please, see the last post

EDIT: I replaced Calcula58 by the new powerful Calcula59
It works with complex numbers. Please see the last post

EDIT: I replaced Calcula59 by the new powerful Calcula60
It works with complex numbers and complex functions.
Please see the last post

note: RulesV3_10_2I - rules in English
RulesV3_10_2P - regras em Português

EDIT: I replaced Calcula62 by the new powerful Calcula63
Please see the last post to get the examples

EDIT: I replaced calcula66 by calcula67
to correct some problems

DERIVATIVES : compute a derivative of any function
See the link in the last post

RuiLoureiro · June 07, 2012, 04:11:25 AM

Hi all
News

The previous calcula48 doesnt work with
-INFINITY and +INFINITY.

Now i never test for overflow or division by 0
or other case than "invalid operation".
After getting "invalid operation" we examine
the case (we have 25 for powers).
To have no problems, we should use fclex before.

**** Here is calcula49 v1.09 ****

Now the calculator gives results from
-INFINITY to +INFINITY or "indeterminate form"
or ERROR.

It seems also that i solved all cases of
"indeterminate forms":

0/0 00/00 00-00 0*00

0^0 1^+00 1^-00 +00^0 -00^0

It gave me a lot of work to put it to work correctly
and to test each case.

Some cases:

1/0^3 = +INFINITY -(ln(e)-1)^-(1/0) = -INFINITY

-(-2/0)^(1/(2+1))= -(-INFINITY)^0.333333333333333 = ERROR
but
-(-2/0)^(1/3) = +INFINITY

(4*3-11)^-(3/(log(10)-1)) = Indeterminate form

Try it and say something.
Good luck !

Thanks
Rui Loureiro

RuiLoureiro · June 10, 2012, 02:46:59 AM

raymond,
i added hyperbolic functions to calcula49
and now i want to test it.
I used your Ztest but i get this values
(it seems that something is wrong)

Ztest calcula50
arcsinh(1)= 0.881373587019543 0.881373587019543
arccosh(1)=0.000000000931323 0
arctanh(1)=21.48756259735830 +INFINITY
arccoth(1)=21.48756259735830 +INFINITY
arccsch(1)= 0.881373587019543 0.881373587019543
arcsech(1)=0-i0.000000000931323 0

arcsinh(-1234566677889e2345) = 0 -5428.096931407931
arcsinh(-1234566677889e3345) = 0 -INFINITY

arcsinh(+1234566677889e2345) = 0 5428.096931407931
arcsinh(+1234566677889e3345) = 0 +INFINITY

RuiLoureiro · June 11, 2012, 12:13:28 AM

Hi all

Hyperbolic functions:

Can anyone confirm this values ?
Thanks ;)

sinh(x), tanh(x), coth(x), csch(x) are odd functions: sinh(-x)=-sinh(x)...
cosh(x), sech(x) are even functions: cosh(-x)=cosh(x)

sinh(-1/0) = -INFINITY
sinh(-1.234566677889e2375) = -INFINITY
sinh(-7200) = 4.161402346759365E+3126
sinh(-5) = -74.20321057778876

sinh(-1.0E-6) = -0.000001
sinh(0) = 0
sinh(+1.0E-6) = 0.000001

sinh(5) = 74.20321057778876
sinh(7200) =-4.161402346759365E+3126
sinh(1.234566677889e2375) = +INFINITY
sinh(1/0)= +INFINITY

cosh(-1/0) = +INFINITY
cosh(-1.234566677889e2375)= +INFINITY
cosh(-7200) = 4.161402346759365E+3126
cosh(-5) = 74.20994852478784

cosh(-1.0E-6) = 1.0000000000005
cosh(0) = 1.0
cosh(+1.0E-6) = 1.0000000000005

cosh(5) = 74.20994852478784
cosh(7200) = 4.161402346759365E+3126
cosh(1.234566677889e2375) = +INFINITY
cosh(1/0)= +INFINITY

tanh(-1/0) = -1.0
tanh(-1.234566677889e2375)= -1.0
tanh(-7200) =-1.0
tanh(-5) = -0.999909204262595

tanh(-1.0E-6) = -9.999999999996327E-0007
tanh(0) = 0
tanh(+1.0E-6) = 9.999999999996327E-0007

tanh(5) = 0.999909204262595
tanh(7200) = 1.0
tanh(1.234566677889e2375) = 1.0
tanh(1/0)= 1.0

coth(-1/0) = -1.0
coth(-1.234566677889e2375)= -1.0
coth(7200) = -1.0
coth(-5) = -1.000090803982019

coth(-1.0E-6) = -1000000.000000367
coth(0) = Undefined
coth(1.0E-6) = 1000000.000000367

coth(5) = 1.000090803982019
coth(7200) = 1.0
coth(1.234566677889e2375) =1.0
coth(1/0)= 1.0

sech(-1/0) = 0
sech(-1.234566677889e2375)= 0
sech(-7200) = 0
sech(-5) = 0.013475282221305

sech(-1.0E-6) = 0.9999999999995
sech(0) = 1.0
sech(+1.0E-6) = 0.9999999999995

sech(5) = 0.013475282221305
sech(7200) = 0
sech(1.234566677889e2375)= 0
sech(1/0)= 0

csch(-1/0) = 0
csch(-1.234566677889e2375)= 0
csch(-7200) = 0
csch(-5) = -0.013476505830589
csch(-1.0E-6) = -999999.9999998673
csch(0) = Undefined
csch( 1.0E-6) = 999999.9999998673
csch(5) = 0.013476505830589
csch(7200) = 0
csch(1.234566677889e2375)= 0
csch(1/0)= 0

MichaelW · June 11, 2012, 07:14:25 AM

Using the Windows calculator:

Code Select


sinh(-1/0) = -INFINITY                    will not paste
sinh(-1.234566677889e2375) = -INFINITY    too slow
sinh(-7200) = 4.161402346759365E+3126     -4.1614023467593632561951834091827e+3126
sinh(-5) = -74.20321057778876             -74.203210577788758977009471996065

-1.0e-6 :e
sinh(-1.0E-6) = -0.000001                 -0.000001000000000000166666666666675
sinh(0) = 0                               0
+1.0e-6 :e
sinh(+1.0E-6) =  0.000001                 0.000001000000000000166666666666675

sinh(5) = 74.20321057778876               74.203210577788758977009471996065
sinh(7200) =-4.161402346759365E+3126      4.1614023467593632561951834091827e+3126
sinh(1.234566677889e2375) = +INFINITY     invalid input for function
sinh(1/0)= +INFINITY                      will not paste

cosh(-1/0) = +INFINITY                    will not paste
cosh(-1.234566677889e2375)= +INFINITY     invalid input for function
cosh(-7200) = 4.161402346759365E+3126     4.1614023467593632561951834091827e+3126
cosh(-5) =  74.20994852478784             74.209948524787844444106108044488

-1.0e-6 :e
cosh(-1.0E-6) = 1.0000000000005           1.0000000000005000000000000416667
cosh(0) = 1.0                             1
+1.0e-6 :e
cosh(+1.0E-6) = 1.0000000000005           1.0000000000005000000000000416667

cosh(5) =   74.20994852478784             74.209948524787844444106108044488    
cosh(7200) = 4.161402346759365E+3126      4.1614023467593632561951834091827e+3126
1.234566677889e2375 :e
cosh(1.234566677889e2375) = +INFINITY     invalid input for function
cosh(1/0)= +INFINITY                      will not paste                    

tanh(-1/0) = -1.0                         will not paste
tanh(-1.234566677889e2375)= -1.0          too slow
tanh(-7200) =-1.0                         -1
tanh(-5) = -0.999909204262595             -0.99990920426259513121099044753447  

-1.0e-6 :e
tanh(-1.0E-6) = -9.999999999996327E-0007  -0.0000009999999999996666666666668
tanh(0) = 0                               0    
+1.0e-6 :e
tanh(+1.0E-6) =  9.999999999996327E-0007  0.0000009999999999996666666666668   

tanh(5) =  0.999909204262595              0.99990920426259513121099044753447
tanh(7200) = 1.0                          1  
tanh(1.234566677889e2375) = 1.0           invalid input for function
tanh(1/0)= 1.0                            will not paste

do not know how to calc coth, trying cosh/sinh

coth(-1/0) = -1.0                         will not paste
coth(-1.234566677889e2375)= -1.0          invalid input for function
coth(7200) = -1.0                         1
coth(-5) = -1.000090803982019             -1.0000908039820193755366579205217

-1.0e-6 :e
coth(-1.0E-6) = -1000000.000000367        -1000000.0000003333333333333111111
coth(0) = +INFINITY                       0  
1.0e-6 :e
coth(1.0E-6) =  1000000.000000367         1000000.0000003333333333333111111
 
coth(5) =   1.000090803982019             1.0000908039820193755366579205217
coth(7200) = 1.0                          1
coth(1.234566677889e2375) =1.0            invalid input for function
coth(1/0)= 1.0                            will not paste

do not know how to calc sech, trying 1/cosh

sech(-1/0) = 0                            will not paste      
sech(-1.234566677889e2375)= 0             invalid input for functon
sech(-7200) = 0                           2.4030360841670037099489877684017e-3127  
sech(-5) = 0.013475282221305              0.013476505830589086655381881284338

-1.0e-6 :e
sech(-1.0E-6) =  0.9999999999995          0.99999999999950000000000020833333
sech(0) = 1.0                             1
+1.0e-6 :e
sech(+1.0E-6) =  0.9999999999995          0.99999999999950000000000020833333

sech(5) =  0.013475282221305              0.013475282221304557305519138244882
sech(7200) = 0                            2.4030360841670037099489877684017e-3127
sech(1.234566677889e2375)= 0              invalid input for function
sech(1/0)= 0                              will not paste

do not know how to calc csch, trying 1/sinh

csch(-1/0) = 0                            will not paste  
csch(-1.234566677889e2375)= 0             too slow
csch(-7200) = 0                           -2.4030360841670037099489877684017e-3127
csch(-5) = -0.013476505830589             -0.013476505830589086655381881284338      
-1.0e-6 :e
csch(-1.0E-6) = -999999.9999998673        -999999.99999983333333333335277778
csch(0) = +INFINITY                       cannot divide by zero
1.0e-6 :e
csch( 1.0E-6) =  999999.9999998673        999999.99999983333333333335277778
csch(5) =   0.013476505830589             0.013476505830589086655381881284338
csch(7200) = 0                            2.4030360841670037099489877684017e-3127
csch(1.234566677889e2375)= 0              invalid input for function
csch(1/0)= 0                              will not paste

RuiLoureiro · June 11, 2012, 09:10:41 PM

Hi Michael,
Thanks for reply :t

I corrected this:

sinh(-7200) = -4.161402346759365E+3126 «« copy-paste problem
sinh( 7200) = 4.161402346759365E+3126 «« copy-paste problem

sech(-7200) = 2.403036084167004E-3127
sech( 7200) = 2.403036084167004E-3127

coth(0) = Undefined This is undefined because it can be
csch(0) = Undefined -INFINITY or +INFINITY

It seems all results are correct
meanwhile you gave this result

coth(0) = +INFINITY 0
but it seems you want to write
coth(0) = +INFINITY cannot divide by zero

One question: the Windows calculator uses Real10 or another code?
Do you know, Michael ?

Many thanks

EDIT:
sinh(-1.0E-6) = -0.000001 Windows calculator=-0.000001000000000000166666666666675It seems i need to add a randon number generator to give 18 digits
+15 generated, no one knows if it is correct or not !

RuiLoureiro · June 12, 2012, 01:17:10 AM

Hi all

Hyperbolic inverse functions:

Anyone can confirm this values ?

arcsinh(x)=ln(x+sqrt(x^2+1))
arcsinh(-1/0) = -INFINITY
arcsinh(-1.234566677889e2375) = -5469.543463081824
arcsinh(-7200) = -9.574983490386623
arcsinh(-5) = -2.312438341272753
arcsinh(-1.0e-6)= -9.999999999998556E-0007
arcsinh(0) = 0
arcsinh(1.0e-6) = 9.999999999998556E-0007
arcsinh(5) = 2.312438341272753
arcsinh(7200) = 9.574983490386623
arcsinh(1.234566677889e2375) = 5469.543463081824
arcsinh(1/0) = +INFINITY

arccosh(x)=ln(x+sqrt(x^2-1)) ; it is defined for x>=1
arccosh(-1/0) = Undefined
arccosh(-5) = Undefined
arccosh(0) = Undefined
arccosh(0.99) = Undefined
arccosh(1) = 0
arccosh(5) = 2.292431669561178
arccosh(7200) = 9.574983480741561
arccosh(1.234566677889e2375) = 5469.543463081824
arccosh(1/0) = +INFINITY

note1: if x is very large, arcsinh(x)=~arccosh(x)

arctanh(x)=2^-1* ln((1+x)/(1-x)) ; it is defined for |x|<1
arctanh(-1/0) = Undefined
arctanh(-1.234566677889e2375) = Undefined
arctanh(-5) = Undefined
arctanh(-1) = -INFINITY

arctanh(-0.1) = -0.100335347731076
arctanh(-0.01)= -0.010000333353335
arctanh(-0.001) = -0.001000000333334
arctanh(0) = 0
arctanh(0.001) = 0.001000000333334
arctanh(0.01)= 0.010000333353335
arctanh(0.1) = 0.100335347731076

arctanh(1) = +INFINITY
arctanh(1/0) = Undefined

arccoth(x)=2^-1* ln((x+1)/(x-1)) ; it is defined for |x|>1
arccoth(-1/0) = 0
arccoth(-5) = -0.202732554054082
arccoth(-1.99)= -0.552661861628048
arccoth(-1) = -INFINITY

arccoth(-0.99)= Undefined
arccoth(0) = Undefined
arccoth(0.99) = Undefined

arccoth(1) = +INFINITY
arccoth(1.99) = 0.552661861628048
arccoth(5) = 0.202732554054082
arccoth(1/0) = 0

arcsech(-1/0) = Undefined ; it is defined for 0 < x <= 1
arcsech(-5) = Undefined
arcsech(0) = Undefined +INFINITY / -INFINITY

arcsech(1.0E-8)= 19.11382792451231
arcsech(0.001)= 7.600902209541989
arcsech(0.01) = 5.298292365610485
arcsech(0.1) = 2.993222846126381

arcsech(0.99999) = 0.00447215458902
arcsech(0.999999999999) = 0.000001414213445
arcsech(1) = 0

arcsech(5) = Undefined
arcsech(1/0) = Undefined

arccsch(-1/0) = 0
arccsch(-1.234566677889e2375)= 0
arccsch(-7200)= -0.000138888888442
arccsch(-5) = -0.198690110349241
arccsch(-1) = -0.881373587019543

arccsch(-1.0E-8)= -19.11382792451231
arccsch(0) = Undefined +INFINITY / -INFINITY
arccsch(1.0E-8)= 19.11382792451231

arccsch(1) = 0.881373587019543
arccsch(5) = 0.198690110349241
arccsch(7200) = 0.000138888888442

arccsch(1.234566677889e2375)= 0
arccsch(1/0) = 0

MichaelW · June 12, 2012, 09:04:36 AM

Hi Rui,

The Windows calculator uses some sort of extended precision that can be very slow for some operations.

QuoteExtended Precision, a feature of Calculator, means that all operations are accurate to at least 32 digits. Calculator also stores rational numbers as fractions to retain accuracy. For example, 1/3 is stored as 1/3, rather than .333. However, errors accumulate during repeated operations on irrational numbers. For example, Calculator will truncate pi to 32 digits, so repeated operations on pi will lose accuracy as the number of operations increases.

RuiLoureiro · June 13, 2012, 03:07:41 AM

Ok, Michael,
thank you :t

RuiLoureiro · June 14, 2012, 01:26:42 AM

Hi all

**** Here is calcula50 v1.10 ****

Now, we have 57 functions

Now, the calculator gives results from
-INFINITY to +INFINITY
or
undefined e.g. ln(-1), arccos(-2), SIN(1/0)
or
"indeterminate form" e.g. 0/0
or
Operand too long e.g. 4444444444444444445
or
ERROR.

Now, the calculator solves all trigonometric functions,
all inverse trigonometric functions
all hyperbolic functions
and all inverse hyperbolic functions.

functions: atan2(y,x) and atan2d(y,x)

e.g. atan2d(24,sqr(3+1)) = 85.23635830927382
1+atan2d(24,sqr(-3+1)) = Undefined because sqr(-3+1) is Undefined

If you want to give any suggestion
please, answer this post

Try it and say something.
Good luck !

Thanks
Rui Loureiro

RuiLoureiro · June 30, 2012, 05:42:44 AM

**** Here is calcula51 v1.11 ****

I made some corrections in Calcula50

calcula51 has a new look

Good luck
Rui Loureiro

Farabi · June 30, 2012, 02:05:29 PM

Whoa, cool man, can I use it on my project? :t

RuiLoureiro · June 30, 2012, 07:42:20 PM

Quote from: Farabi on June 30, 2012, 02:05:29 PM
Whoa, cool man, can I use it on my project? :t

Yes, Farabi, where you want no problems :t
If you know some erros, please tell me
i correct it

RuiLoureiro · June 11, 2013, 07:26:02 AM

Hi all

***** Here is The calculator v2.20 *****

In this version we have:

1. conversions decimal-hexadecimal-binary

note: - => two's complement

type: -12d (decimal end with "d" or "D")

we get: unsigned: 18446744073709551604 / signed: -12

FFFFFFFFFFFFFFF4H
11111111111111111111111111111111
11111111111111111111111111110100B

type: 18446744073709551604d

we get: 18446744073709551604d

FFFFFFFFFFFFFFF4H
11111111111111111111111111111111
11111111111111111111111111110100B

type: FFFFFFFFFFFFFFF4H

we get: unsigned: 18446744073709551604 / signed: -12

FFFFFFFFFFFFFFF4H
11111111111111111111111111111111
11111111111111111111111111110100B

type: FFFFFFFFFFFFFFFFH

we get: unsigned: 18446744073709551615 / signed: -1
FFFFFFFFFFFFFFFFH
11111111111111111111111111111111
11111111111111111111111111111111B

type: 7FFF FFFF FFFF FFFFh

we get: 9223372036854775807

7FFFFFFFFFFFFFFFh
01111111111111111111111111111111
11111111111111111111111111111111B

type: 9223372036854775807d

we get: 9223372036854775807d
7FFFFFFFFFFFFFFFH
01111111111111111111111111111111
11111111111111111111111111111111B

2. logic expressions

first: shl and shr
next: or, and, xor (or = +)

- : invert

type: 21h shl 2d + 34h and -56h shl 3d and 99h xor 12h

we get: 18
00000012H
00000000000000000000000000010010B

type: -(21h shl 2d) + 34h and -56h shl 3d and 99h xor 12h

we get: 26
0000001AH
00000000000000000000000000011010B

type: -(21h shl 2d + (34h and -56h) shl 3d and 99h xor 12h)

we get: unsigned: 18446744073709551469 / signed: -147
FFFFFFFFFFFFFF6DH
11111111111111111111111111111111
11111111111111111111111101101101B

Now i need to do some more tests
but it seems it works correctly
Rui Loureiro

dedndave · June 11, 2013, 09:49:21 AM

nice, Rui :t

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