© Witold Kossowski, 2009
jExacter, written in Java, is an application of high precision calculus.
*** The precision is adjustable within the limit of 1 - 240 significant digits (30 by default).
*** The user can choose a System Keyboard (48 standard functions) as well as the Private one, with 48 customizable keys (right-click).
*** Every "private" button can be titled and linked to any formula entered by the operator at any moment and for permanent using.
*** Calculation is carried out starting from the formula of the length limited to 248 characters.
*** The formula, written in natural notation, is built of operators (max.73), constants and variables.
*** The syntax of the formula is verified and all error is interpreted.
*** The compilation of the formula is followed by the optimization of the calculus.
*** Incremental (for any number of variables with different incrementation values ) as well as recurrent calculus are possible.
*** The formula, as well as any argument can be modified by the user at any moment.
*** jExacter makes the direct access to any variable.
*** Any argument can be entered in fixed or scientific format.
*** In the case of periodic number, the use of the parentheses is authorized, e.g. 1,0(53) that corresponds to 1,053535353… .
*** Every entered argument is tested and all error is interpreted.
*** The largest/smallest accepted number is 1e±1.000.000.000.
*** "Infinity", "NaN" (Not a Number), "TLN" (Too Large Number, i.e. a number > 1e+1.000.000.000 and inferior to Infinity) can be entered and displayed as a result and correctly treated as an itermediate result in any context.
*** There are two predefined values, e and pi.
*** The operator has a direct access to the Help file which, among others, contains the presentation of all functions. The access to the Help file is free at any moment, and one can add his own remarks to the text.
*** The operator has at his disposal another editable system file called FORMULA FILE ("formfile"), as well as the file CONSTANTS where any constant (with or without its name and possible comments) may be registered.
*** According to the run mode chosen, the calculation may be followed by a Report containing a list of arguments and all intermediate results in chronological order.
*** A Find function was added to the Report window, as the report might be very large, especially in the case of the list of primes in some range (exemple : pra[0;10000000] gives all primes from 0 to 10 millions, e.g. 664579 primes organized in 65033 report lines).
*** Every file controlled by jExacter can be printed directly from the File menu.
*** The formula, the arguments, the result, the precision level as well as the report never disappear from the screen. When moving from one window to another, the window colors change, so the user is never lost in his action.
*** In the set of operators, one can find a division modulo as the rest of division by a real number, nth root, a logarithm with any base, a product of all successive numbers of any range, number format conversion (between any bases in the range 2...16), liste of all primes from the range[a..b], nth prime, etc.
*** The use of a special variable name "me" (memory) is authorized. The operator enters the value of "me" before the first run, and at every successive execution "me" takes the value of the last result. This enables the recursive computation.
*** Besides, jExacter has a simple and direct mode of calculation called CASH REGISTER that enables a continuous addition of numbers, products, percents and divisions (precision limited to 25 digits) with the control of the syntax of arguments and operations.
*** Supports copy / paste / cut / Save As / etc.
*** The execution time is measured and displayed.
of 2 numbers
sh hyperbolic sine
pra list of all primes
from the range [n..m]
The constant and variable names (max. 3 char.) have to begin with a letter from the range [a..z], except from the operator "bas",
where the acceptable range is [g..z].
Argument formats :
|scientific||e+450||1,78 e-200000||1,14 e+500000000|
|mixed||15(8) e-50||,24(62) e+89||5,45(76) e-65012572|
The File menu contains, among others, the command Report that enables the immediate opening of the Report file, which is written automatically when there is an abnormal termination of the calculation or when the appropriate run mode is chosen.
The Report is always placed in the application folder. The name of the Report is "calcfile" and is determinated by the application. If necessary, the command "Save as" saves a copy of the report (or any other file) under a name desired by the user.
The Formula menu contains two commands:
Arguments menu contains three commands:
The Arguments menu contains three commands:
The Constants menu contains two commands:
The Exec menu contains three commands:
Windows Formula, Arguments, Result and Report are text editors with some function buttons.
The syntax of the formula requires sometimes the square brackets. Clicking on any operator key inserts the operator symbol as well as, if required, the brackets with the semicolon character when the operator needs two arguments.
One can also select some range of the formula and press any operator button. In such a case, the operator symbol is inserted with the selected part as the first argument. Of course, there is no obligation to use the buttons when typing the formula.
Case and blanks are ignored by the application. The user can type them to make the formula more transparent.
Some examples of formula:
r[10321;16]^n + 4,89 lg[x;2,01] ! - 16ab*c
This is an example of recursive calculation with the argument "me" (memory).
After setting m=900, we will have consecutively:
Immediately after the validation of the formula, the message "There are arguments to enter" appears if there are the variables in the formula and if at least one of them was not entered yet.
On the contrary, when returning to the formula with variables and where one or more arguments were already entered, there appears the message "Args presented in preceding formula are initialized." during any new validation. So the user is not obliged to reenter the arguments already written.
The validation of an argument is followed by apparition of a window corresponding to the next argument.
The window Argument Selection is identical to the Argument Entry window with this difference that the user has to enter the variable name to access the variable directly.
The window Constant Entry is a text editor without any control of the syntax. The user can enter any constant value, preceded or followed by, for example, some remark. The Constant file can be accessed for any direct text treatment.
The field Precision is intended to set the precision of the calculation, e.g. the number of significative digits of the result. The chosen presicion is set when clicking on OK.
The field Find is intended to enter any text to be found in the file presented in the report window. Once Find clicked, the first text found is selected and the number of occurrences appears in the System Info window. At every click the next occurrence of the text is found and selected (in the loop).
The screen CASH REGISTER presents a white sheet with a header containing a date and current time. There is also a cursor in the shape of ">", which dynamically shows the place for data entry. The syntax of the arguments and operators is controlled by the application.
In the above example, one can note consecutively: