Super calculator

Paper Label Maker Java Class Hierarchy SyncJEdit (Java IDE)

• Main function list
• Output keywords

1. Common functions
   We add as many functions of this kind as possible to suit your common requests.
   Such as trigonometry, statistics, convert, logical and string functions. 
    
2. Bits functions
   Includes all bits operations for IT researches.
   Such as bit wise AND, bits shift, maximum and minimum integer values in binary, quaternary, octal and hexadecimal formats.  
    
3. Complex functions
   Satisfies all complex computations.
    
4. Point functions
   Which focus on points in n-dimensional space.
   Such as to calculate distance from a point to a line. 
    
5. Vector and Matrix functions
   Which satisfy requests of linear algebra.
   Such as to calculate inverse, determinant of a matrix and get solution of liner equations.
   Magical things are that +, - and * can be used between vectors and matrixes as in math books.
    
6. Definite integral functions
   Which provide easy ways to calculate area and curve length for any kind 2-D functions in x-y and polar coordinate systems. 
    
7. Series function
   A single series function can calculate all series of the world and more by your creations.
   Double, triple series or any more level series are valid by the dramatic function.
    
8. Product function
   Similar to series function, the single product function can calculate all products.
   Double, triple products or any more level products are valid by the the function.
    
9. Equation root function
   Which can find any nth roots for any kind equations.
    
10. Draw locus functions
    Which draws locus of user functions in both x-y and polar coordinate systems.   
    

1.  Calculate solution of X1, X2, X3 and X4 for liner equation: = x
    
   

   Formula	result
   matrix_inverse( (1,2,3,4), (5,6,7,8), (2,6,4,8), (3,1,1,2)) *vector_column(6,3,1,8);	+1.7778 -6.6111 -1.1111 +5.1944

   
   You can copy formula code above into the calculator to get result.
   The formula is very clear:
   Inverse matrix of original square matrix times column vector of (6, 3, 1, 8).
    
    
2. Find roots of f (x) = x+sin(x)+cos(3*x)-10
     

   Formula	roots	equation value
   equation_root ( x, 0, 15, 6000, x+sin(x)+cos(3*x)-10 );	8.2 8.6675 10.13 10.9925 11.6725	+0.0021 -0.0005 +0.0001 +0.0017 -0.0031

    
   Right 2 columns are roots found and related equation values at roots position.
    
    
3. Draw locus
    
   If you need more information about roots for above sample, you can use draw-locus function to draw locus figure visually.
       

   Formula

   locus_xy ( x, 0, 15, 6000, x+sin(x)+cos(3*x)-10, 2 );

     
   The function does not have calculation result, but draws locus as following:
     
    
    
   So you know all roots are correct.
    
    
   
4. Double series:
    
   Any function can be used inside other functions, this is a general rule of the calculator. 
   So you just need to add second series inside first one.
      

   series

   (

   m,

   1,

   1,

   200,

   series (n, 1, 1, 100, 1/ ( m^2 + m*n + n^2)

   );

   Result is 5.1224343014765532.
    
    
 
5. Calculate area and curve length between 0 to pi/2 for function bellow.
   
   
     
   We calculate them in polar coordinate system, formulas are:

   integral_area_polar	(	a,	0,	pi/2,	1000,	10 * sqrt (|cos(2*a)|)	);
   integral_curve_polar	(	as above	as above	as above	as above	as above	);

    
   Results are:

   Area	49.999355592896507
   Curve length	26.220544399420838

 
Main interface
 
 

If you are new to this software, you can ignore following information.
When you install new version of Super Calculator, please do not uninstall previous one.
Let new version overwrite existing installation,  so that formulas saved are still available.

Agreement of use super calculator

Super calculator is protected by copyright law and international treaties.
Standard edition of the software is free based on one of following two conditions.

1. You are an end user
   Download the software directly from this site.
   Or use the software distributed by us or authorized organizations.
             
2. Free distribution (standard edition, version 1.xx only)
   You can copy and distribute the software as a whole for free.  
   You also can announce the software based on "be nice".
   (We keep rights to change this condition of free distribution for later version).

If you accept the agreement, you can download it now.
 

Download supercalculator.zip (820 K)

If you have old version installed, please do not remove it, new installation will overwrite old one and keep your previous calculations and other settings valid.

Thank you
 
 

Follows are main functions listed by types: 

1. String functions

   function name	parameters	return type	functionality
   strlen	(string)	uint	string length
   strsum	(string)	uint	sum of string's ASCII value
   strsumspecial	(string)	uint	sum of special string's ASCII value

       
2. Bits functions

   function name	parameters	return type	functionality
   bit_not bitwise_not	(uint, bits)	uint	bit wise NOT of first parameter
   bit_and bitwise_and	(uint, uint, bits)	uint	bit wise AND of first 2 parameters
   bit_or bitwise_or	(uint, uint, bits)	uint	bit wise inclusive OR of first 2 parameters
   bit_xor bitwise_xor	(uint, uint, bits)	uint	bit wise exclusive OR of first 2 parameters
   lsh left_shift	(uint, uint, bits)	uint	shift first parameter left by the number of positions the second parameter specifies
   rsh right_shift	(uint, uint, bits)	uint	shift first parameter right by the number of positions the second parameter specifies
   max_int	(bits)	uint	max value of integer
   min_int	(bits)	int	min value of integer
   max_uint	(bits)	uint	max value of unsigned integer

   Note: bits is a positive integer to indicate valid bit-length. i.e. if bits=32, parameter is in 32-bit.
      
3. Logical functions

   function name	parameters	return value	functionality
   sign	(float)	+1 or -1	sign of the parameter, sign(0)=+1
   bool boolean	(float)	+1 or 0	boolean value of the parameter, returns 0 if the parameter is 0, otherwise returns +1.
   cmp compare	(float, float)	-1, 0 or +1	compares 2 parameters, returns +1 if first > second, 0 if first = second, or -1 if first < second.
   great_than	(float, float)	+1 or 0	returns +1 if first > second, otherwise returns 0.
   great_equals	(float, float)	+1 or 0	returns +1 if first >= second, otherwise returns 0.
   less_than	(float, float)	+1 or 0	returns +1 if first < second, otherwise returns 0.
   less_equals	(float, float)	+1 or 0	returns +1 if first <= second, otherwise returns 0.
   equals	(float, float)	+1 or 0	returns +1 if first = second, otherwise returns 0.
   not_equals	(float, float)	+1 or 0	returns +1 if first <> second, otherwise returns 0.
   not	(float)	+1 or 0	returns +1 if parameter is 0, otherwise returns 0.

     
4. Condition functions

   function name	parameters	functionality
   if	refer to function for details	calculate expression according to logical conditions.

     
5. Normal functions
    
   which includes followings:
     
   • Trigonometry functions

     function name	parameters	return type	functionality
     sin	(radian)	float	sine
     cos	(radian)	float	cosine
     tan	(radian)	float	tangent
     ctg	(radian)	float	cotangent
     asin	(float)	radian	arc sine
     acos	(float)	radian	arc cosine
     atan	(float)	radian	arc tangent
     actg	(float)	radian	arc cotangent
     sinh	(float)	float	hyperbolic sine
     cosh	(float)	float	hyperbolic cosine
     tanh	(float)	float	hyperbolic tangent
     ctgh	(float)	float	hyperbolic cotangent

           
   • Common functions

     function name	parameters	return type	returns
     inv invert	(float)	float	1/x
     reminder	(float, float)	float	reminder of first parameter based on second.
     sqrt square_root	(ufloat)	float	square root of parameter
     cbrt cube_root	(float)	float	cube root of parameter
     pow power	(float, float)	float	first parameter raised to power of second
     root	(float, float)	float	first parameter raised to the root of second
     ln	(pfloat)	float	natural logarithm
     log10	(pfloat)	float	10 based logarithm
     log	(pfloat, float)	float	parameter based logarithm
     exp exponential	(float)	float	exponential value

           
   • Convert functions

     function name	parameters	return type	functionality
     abs absolute	(float)	ufloat	absolute value
     int integer	(float)	float	integer part of the parameter, truncate fractional part
     frac fractional	(float)	float	fractional part of the parameter, trim off integer part
     rad radian	(float)	float	radian value of degree parameter
     deg degree	(float)	float	degree value of radian parameter
     days	(yyyy, mm, dd)	uint	get days from February/01/0001
     days_of_the_year	(yyyy, mm, dd)	uint	get days in specified year.
     weekday	(yyyy, mm, dd)	uint	get weekday of specified day.

          
6. Operator function

   function name	parameters	return type	functionality
   plus	(any, any)	any	first parameter + second
   minus	(any, any)	any	first parameter - second
   times	(any, any)	any	first parameter * second
   divide	(any, any)	any	first parameter / second
   abs absolute	(any)	float	absolute value of the parameter, same as |any|
   neg negative	(any)	any	change sign of the parameter, same as - any

   parameter any stands for a number, vector, complex or matrix.
   Operation must satisfy math rules, for example, 3 * matrix is legal, but 3 + matrix is illegal.
     
7. Statistics functions

   function name	parameters	return type	functionality
   max maximum	(float, float, ...)	float	maximum value among parameters
   min minimum	(float, float, ...)	float	minimum value among parameters
   median	(float, float, ...)	float	median value among parameters
   count	(float, float, ...)	float	parameter count
   sum summary	(float, float, ...)	float	sum of parameters
   sum_n summary_n	(float, float, ..., k)	float	sum of parameters raised to the power k
   mean average	(float, float, ...)	float	average of parameters, same as sum/count
   variance	(float, float, ...)	float	variance value
   factorial	(n)	float	n!
   permutation	(n, m)	float	n! / m!
   combination	(n, m)	float	n!/(m!*(n-m)!)

     
8. Complex function

   function name	parameters	functionality
   complex	(float, float)	first parameter is real number, second is imaginary number

      
9. Point functions

   function name	parameters	functionality
   length	(point)	lengths of a vector or distance from original to end point.
   polygon_edges	(point, point, ...)	edge lengths of a polygon.
   polygon_edges_open	(point, point, ...)	edge lengths of an opened polygon.
   dot_product	(point, point) (point, point, point)	dot product of 2 vectors.
   angle_of_vectors	(point, point) (point, point, point)	angle in radian between 2 vectors.
   triangle_area	(point, point) (point, point, point)	area of a triangle represented by the 3 points.
   distance_to_line	(point, point) (point, point, point)	get distance from a point to a line.

          
10. Vector and Matrix functions
      
    • Vector functions

      function name	parameters	functionality
      point	(float, float, ...)	format parameters as a point.
      vector_column vector_clm	(float, float, ...)	format parameters as a column vector.
      vector_row	(float, float, ...)	format parameters as a row vector.

        
    • Matrix functions

      function name	parameters	functionality
      matrix	(point, point, ...)	format a matrix.
      matrix_minor	(matrix)	get minor matrix of parameter matrix.
      matrix_determinant matrix_det	(square matrix)	get determinant of the square matrix.
      matrix_transpose matrix_t	(matrix)	get transpose of a matrix.
      matrix_inverse matrix_inv	(matrix)	get inverse of a matrix.
      matrix_adjoint matrix_adj	(matrix)	get adjoint of a matrix.
      matrix_rank	(matrix)	get rank of a matrix

      
    Operators +, - and * can be applied to matrixes and vectors. 
              
11. Variable functions
      
    These functions contain a variable, so that they are called variable functions.
      
    • Definite integral functions
        
      1. Area functions

         function name	math sign	functionality
         integral_area_xy		area under y=f (x) in x-y coordinate system.
         integral_area_polar		area of radius=R (a) in polar coordinate system.
         integral_area_parametric_xy		rectangular area by parametric equation.
         integral_area_parametric_polar		polar area by parametric equation.

          
      2. Curve length functions

         function name	math sign	functionality
         integral_curve_xy		curve length of y=f (x)  in x-y coordinate system.
         integral_curve_polar		curve length of r=R(a)  in polar coordinate system.
         integral_curve_parametric		curve length by parametric equation.

       
    • Series, product and equation root functions

      function name	math sign	functionality
      series		the single function can calculate all series, including double, triple and any level series.
      product		the single function can calculate all product, including double, triple and any level product.
      equation_root	F (x) = 0	find roots of any kinds of equations.

         
    • Draw locus functions

      function name	parameters	functionality
      locus_xy	(x, ...)	draw figure of locus in x-y coordinate system.
      locus_polar	(a, ...)	draw figure of locus in polar coordinate system.
      locus_parametric	(x, y, ...)	draw figure of locus by parametric equation.

Go to download link

1. General keywords
     

   keyword	valid for	usage	example	output view
   hide	all formulas	hide result from result output window.	hide: 2+5;	(no)
   percent	single result formulas	add percent symbol '%' at end of result.	percent: 25;	25 %

     
2. Format keywords: 
       

   names	format of result	example	output view
   bin binary base2	in binary	bin: 29;	0b0000000000011101
   quat quaternary base4	in quaternary	quat: 29;	0q00000131
   oct octal base8	in octal	oct: 29;	0o000035
   hex hexadecimal base16	in hexadecimal	hex: 29;	0h001D
   unit unsigned_integer base10	in decimal positive integer	uint: -77;	0u65458

 
We found several "super" calculators on the internet used for managing super part of people's salary. 
"Super" in the program has the same meaning as the word in super-man or super-girl, which means "power" rather than "money".
 
This program is a mathematics calculator for general calculations.
You can consider the software as university calculator, school calculator, scientific calculator, physic calculator, engineering calculator, office calculator,  or others.
 
We will keep using current name of the program since history reason.

Go to download link.