DE102018213346A1 - System for performing mathematical calculations based on predefinable input data - Google Patents

Abstract

A system for performing mathematical calculations based on predeterminable input data, the system comprising a calculation module and an input / output module, is characterized in that a calculation accuracy of one or more calculations of the calculation module can be specified by one or more configuration parameters, and that the or the configuration parameters for determining the calculation accuracy of the calculation module can be set in a user-defined manner via the input / output module.

Description

The invention relates to a system for performing mathematical calculations on the basis of predeterminable input data, the system comprising a calculation module and an input / output module.

Systems of the type in question have been known in practice for years. For example, computer programs for PCs for simulating or executing the functions of an electronic pocket calculator are known. Such a computing program can be controlled interactively on a PC or a computer using a keyboard and mouse. Furthermore, the data can be entered in the program using a virtual keyboard. In the known computer program, however, it is particularly disadvantageous that only a limited range of values is permitted for operands to be entered. The mantissa is often limited to a maximum of 32 decimal places and the exponent to 3 decimal places. This is accompanied by inadequate computational accuracy, particularly for certain application purposes. The computing accuracy could in turn be sufficient for other purposes, especially if a long computing time is undesirable due to high computing accuracy.

The present invention is therefore based on the object of designing and developing a system for carrying out mathematical calculations of the type mentioned at the outset in such a way that a flexibly adaptable calculation is possible, in particular with regard to calculation accuracy and taking into account the computer resources used by the system.

According to the invention, the above object is achieved by the features of claim 1. According to this, the system in question is characterized in that a calculation accuracy of one or more calculations of the calculation module can be specified by one or more configuration parameters, and that the configuration parameter or parameters for determining the calculation accuracy of the calculation module can be set in a user-defined manner via the input / output module / are.

In the manner according to the invention, it was first recognized that it is of very considerable advantage if a calculation accuracy of one or more calculations of the calculation module can be specified by one or more configuration parameters. The calculation accuracy can thus be controlled by adapting the configuration parameter. According to the invention, the configuration parameter (s) for determining the calculation accuracy of the calculation module can be set in a user-defined manner via the input / output module. The input / output module can thus be used to enter the predefinable input data and to enter or set the configuration parameter. Depending on the application, a suitable calculation can thus be enabled or carried out in a flexible manner, namely both with regard to the computing accuracy and with regard to the resource consumption required for this and the associated computing time.

The calculation module can advantageously be designed such that it can carry out one or more of the following calculations: addition, subtraction, multiplication, division, square root, reciprocal value, modulo, factorial, exponentiation (x high y), e-function, logarithm optionally to the base 10 or user-defined, natural logarithm, sine, cosine, tangent, arc sine, arc cosine and / or arc tangent. A particularly diverse use is therefore possible.

In an advantageous manner, operands and / or results calculated by the calculation module can be represented in exponential notation via the input / output module, wherein the representation in exponential notation can comprise a mantissa, a base and an exponent. A particularly efficient representation is thus realized.

The length of the mantissa and / or the length of the exponent can advantageously be set in a user-defined manner to a predefined number of decimal places. This enables a particularly flexible and efficient adaptation of the system.

In an advantageous manner, the mantissa can be set in a user-defined manner via a configuration parameter, preferably to 16, 25, 56, 250 and / or 1000 decimal places, possibly plus a sign. This enables a particularly flexible and efficient adaptation of the system.

The length of the exponent can advantageously be set in a user-defined manner via a configuration parameter, preferably to 4, 6 and / or 8 decimal places, if necessary plus a sign. This enables a particularly flexible and efficient adaptation of the system.

A big integer data type can advantageously be used to carry out the mathematical calculations by the calculation module. This enables a particularly precise calculation by the calculation module.

Advantageously, one or more, preferably variably dimensionable, intermediate memories can be provided, the intermediate memory (s) being / being accessible and operable by the user via the input / output module. For example, it is conceivable that two variably dimensionable, parallel managed, scrollable buffers are provided, the functions of adding and subtracting an operand, copying the data value into the operand line, resetting and copying into an external file being available for each line occupied.

A parameter file can advantageously be provided to provide one or more physical constants, the parameter file being adaptable, preferably for update purposes. A wide variety of physical calculations can thus be carried out.

Advantageously, a calculation progress of one or more calculations can be logged in a log file. A suitable analysis of the calculations is thus possible.

Further features, advantages and further embodiments of the invention are described in and / or become apparent from the following points. The features of the individual points can be realized individually and / or, if necessary partially, combined with one another.

Point (1): According to an advantageous development, the system can be provided as a computer program. For example, the computer program can be implemented in the C # programming language, whereby one or more of the following calculations or mathematical functions can be calculated using the Biginteger data type and, if necessary, represented in exponential notation: addition, subtraction, multiplication, division, square root, reciprocal value, Modulo, factorial, exponentiation (x to the y), e-function, logarithm optionally to the base 10 or user-defined, natural logarithm, sine, cosine, tangent, arc sine, arc cosine and / or arc tangent.

Point (2): According to a further advantageous development, the range of values that can be represented for the operands and results in the calculations of the calculation module - in particular operands and calculations according to point (1) - can be at least 1000 decimal places for the mantissa and / or at least 8 Decimal places for the exponent are expanded, preferably plus signs.

Point (3): According to a further advantageous development, the length of the mantissa in the operands and results - cf. Point (1) - be scalable through parameters, even far beyond 1000 decimal places. In a specific application, the length can be set in five stages to 16, 25, 56, 250 or 1000 decimal places.

Point (4): According to a further advantageous development, it is conceivable that the length of the exponent taken into account for calculations and / or the length of the exponent represented with the input / output module can be set to 4, 6 or 8 decimal places in a user-defined manner.

Point (5): According to a further advantageous development, the system can be implemented in such a way that two routines for calculating the normalization factors g_simple and g_complex are provided for the CORDIC algorithm. A scalable calculation accuracy can be realized, for example according to item (3). Furthermore, the system can be designed such that an output of the calculation progress is stored in a log file.

Point (6): According to a further advantageous development, the normalization factors g_simple and g_complex can be calculated for the CORDIC algorithm with an accuracy of 1020 decimal places each. Furthermore, the normalization factors g_simple and g_complex can be kept in the system as mathematical constants and may be used in certain mathematical functions, for example in mathematical calculations or functions according to the list in point (1).

Point (7): According to a further advantageous development, when calculating the series development of mathematical functions - for example according to point (1), but excluding the faculty - Function - a progress indicator, which can preferably be activated, is available, which continuously indicates the currently reached number of significant decimal places relative to the configured length of the mantissa in percent.

Point (8): According to a further advantageous development, results calculated by the calculation module, preferably results of the mathematical functions as listed in point (1) and / or the mathematical constant Pi, can be displayed in a screen line for the x- Operands can be represented. The physical constants can each be displayed in the screen line for the y operand, which is included in the input / output module. Furthermore, the data for the x and y operands can be exchanged.

Point (9): According to a further advantageous development, two invisible memory lines of variable length can be available for the long form of the x and y operands in an extended mode. The long forms can expediently be managed automatically parallel to the screen lines in accordance with point (8).

Point (10): According to a further advantageous development, the value of the x operand can be copied into the next free line of the buffer memory when the sorting is ascending. When the data is sorted in descending order, the data in the clipboard can be shifted back one line and the value inserted in the first line.

Point (11): According to a further advantageous development, a buffer store can display intermediate results in a scrollable window, the size of the buffer store being freely configurable. In a specific application, 9999 lines of a certain length can be permanently set. The line number can be displayed with.

Point (12): According to a further advantageous development, it is conceivable that an invisible second buffer is provided with the same number of lines as in point (11), but is available with a variable line length. In extended mode, the long form of the data in the buffer is managed in parallel.

Point (13): According to a further advantageous development, the functions addition and subtraction of the x operand can be available for each occupied line of the buffer.

Point (14): According to a further advantageous development, it is conceivable that each occupied line of the buffer memory can be copied into the line for the y operand and / or set to zero.

Point (15): According to a further advantageous development, it is conceivable that the occupied lines of the buffer can be exported individually or all together to an external file. In extended mode the long form can be exported if necessary.

Point (16): According to a further advantageous development, an extended mode can be set in a user-defined manner, which has the following effect: With mantissas longer than a predetermined number of decimal places - in a specific application, for example, 56 - the long form of the x and y operands becomes as well as, if applicable, the long form of the currently active line of the buffer memory when called up in a separate, large, scrollable window with up to approx. 1 * 10 to 9 characters, in parallel a short form can appear in the corresponding line of the simple mode.

Point (17): According to a further advantageous development, the simple mode can be subdivided into an express mode with, for example, 16 decimal places long mantissa and into an accuracy mode with, for example, 25 or 56 decimal places long mantissa.

Point (18): According to a further advantageous development, the configuration of the mantissa length according to point (3) can be switched over in a user-defined manner without restarting the program. If the switch from advanced mode to simple mode takes place, it is conceivable that you first have to be asked interactively whether the data should be copied from the buffer into an external file. This may be done. The mantissa of all user-defined computing data in the program can then be converted to the shorter simple mode.

Point (19): According to a further advantageous development, data from an external file, for example according to point (15) and / or according to point (18), can be stored in the buffer according to point (11) be imported. If the extended mode according to point (16) is activated, the reading into the parallel second buffer according to point (12) can take place and the corresponding short form can be displayed in the buffer according to point (11).

Point (20): According to a further advantageous development, it is conceivable that at least in a scrollable window of the buffer memory, preferably comprised by the input / output module, according to point (11) 10 Lines can be displayed at the same time. In practice, the maximum possible number of these lines is usually limited by the size of the screen on which the system's input / output module is displayed.

Point (21): According to a further advantageous development, it is conceivable that the lines of the buffer according to point (11) can be sorted in a user-defined manner by ascending or descending line numbers. In the extended mode, the sorting of the lines of the second buffer according to item (12) can remain unchanged. Only the assignment between the lines according to point (11) and point (12) is converted.

Point (22): According to a further advantageous development, a descending sorting can be set for the line numbers in the buffer according to point (11) when reading in data according to point (19). The buffer is then automatically sorted in ascending order, then it is read in and then the buffer is sorted in descending order again.

Point (23): According to a further advantageous development, it is conceivable that in order to distinguish the data of the x and y operands and the buffer in simple mode from the short form of the respective data in extended mode in extended mode, three continuation points at the beginning of the mantissa be attached.

Point (24): According to a further advantageous development, the input / output module can be used for interactive control of the system, for which purpose the input / output module can include a computer form and a menu form, which can each be switched over to one another by clicking on corresponding buttons.

Point (25): According to a further advantageous development, the displays for the x and y operands, the mode, the program status and the buffer as well as buttons for calling up further functionalities can be arranged on a computer form in accordance with point (24). The other functionalities can include, for example, one or more of the following functions: display of the long form of the x or y operand, display of the menu form, display of help text, switching between fixed point display and exponential display, swapping the x and y operands, deleting the x and y operands, display of the configuration menu for the mode, execution of the individual mathematical functions according to item (1), Pi, copying the x operand into the buffer, display of a menu for the selection of an external file for data import into the buffer with navigation in the file system, display of a menu for data export from the entire buffer to an external file with navigation in the file system, display of a menu for the selection of the sub-functions for deleting the buffer, data entry with the characters 0 - 9 and af, minus, comma, "E", delete the last character entered. In addition, radio buttons for switching the angle unit degrees / rad, the number system decimal / hexadecimal and the sorting ascending / descending are conceivable.

Point (26): According to a further advantageous development, one or more buttons can be arranged on the menu form according to point (24): buttons for displaying the program specification, the license agreement, the user reference - for example parallel to help text according to point (25) -, from info with product and manufacturer information, the configuration menu for the mode, possibly parallel to point (25), and the selection menu for physical constants, a display of the return numerical value of the selected physical constant, a button to copy the return Numerical value in the y operands as well as for function calls to update the parameter file for physical constants, to reset the physical constants and to close the menu form.

Point (27): According to a further advantageous development, the currently user-defined mantissa length according to point (3) and the length of the exponent according to point (4) can be combined and displayed as "mode" in a window of the computer form according to point (25) ,

Point (28): According to a further advantageous development, it is conceivable that in the display for the buffer memory according to point (25), every visible line occupied by data includes a checkbox button which is used to call up the display of a menu with buttons for calling it up of available operations for that row. These operations can be, for example, the following: display of the long form in a separate window according to point (16), addition and subtraction of the x operand - cf. Point (13) -, copy the data value into the y operand line ("RCL"), reset - cf. Point (14) - and export - cf. Point (15) - with navigation in the file system, closing the menu. In simple mode, the button for displaying the long form can be deactivated.

Point (29): According to a further advantageous development, the menu for selecting the sub-functions for deleting the buffer according to point (25) can include the buttons for the following: deleting the line of the buffer with the highest line number, deleting the entire buffer, closing the menus.

Point (30): According to a further advantageous development, the buttons for displaying the long form of the x or y operand can be deactivated according to point (25) in simple mode. If you select the decimal number system according to point (25), the buttons for data entry of the characters a-f according to point (25) can be deactivated. If you select the hexadecimal number system according to point (25), the following buttons on the calculator form can be deactivated according to point (25): Switching between fixed-point and exponential representation, square root, reciprocal, exponentiation (x to y), e-function, general logarithm, more natural Logarithm, sine, cosine, tangent, arc sine, arc cosine, arc tangent, PI, "E", minus, comma, and the radio buttons for switching the angle unit.

Point (31): According to a further advantageous development, it is conceivable that the deactivated buttons and radio buttons according to point (28) and point (30) are shown pale.

Point (32): According to a further advantageous development, there can be radio buttons for the express mode and the accuracy mode (these two belong to the simple mode) and for the in the configuration menu for the mode according to point (25) and / or according to point (26) Enter advanced mode. If express mode is activated, another radio button is displayed for a fixed number of decimal places for the mantissa; If the accuracy mode is activated, two more radio buttons are displayed for two fixed numbers of decimal places for the mantissa; If the extended mode is activated, two more radio buttons are displayed for two fixed numbers of decimal places for the mantissa. The number of digits in the hexadecimal system is automatically at least as large as the selected number of decimal places for the mantissa. Regardless of this, three radio buttons are displayed for three fixed numbers of decimal places for the exponent; this setting is ignored in the hexadecimal system. When the configuration menu is called up, all radio buttons can be activated or deactivated in accordance with the currently valid configuration file. There can also be two buttons for saving the coded current setting of the radio buttons in the configuration file and closing the configuration menu.

Point (33): According to a further advantageous development, at least 25 lines, each with a constant, can be displayed in a scrollable window when the selection menu for physical constants according to point (26) is called. Each line can include a button to call up the display of detailed information. A button to close the selection menu can also be displayed.

Point (34): According to a further advantageous development, the window for displaying detailed information according to point (33) can show the following: the designation of the sub-area of physics, name of the constant, symbol, numerical value of the constant, unit of measurement, relative standard deviation, comment text , as well as buttons to display the literature source, to call up a link to the literature source on the Internet, to transfer the numerical value of the constant to the display of the return numerical value of the selected physical constant according to item (26) and to close the window.

Point (35): According to a further advantageous development, when a function is called to update the parameter file for physical constants in accordance with point (26), a menu can be displayed with the following buttons: request a physics update, i.e. Establishing a link on the Internet for downloading a parameter file; Activate physics update, i.e. Display of a menu for selecting the parameter file; Close the menu.

Point (36): According to a further advantageous development, the menu for selecting the parameter file according to point (35) can include the following: a display of the user-specific fixed path to the directory with the parameter files for physical constants on the local computer; a scrollable window with at least 10 visible lines, in which the parameter files found are listed, each line containing a button to select the relevant file; One button each to activate the selected file and to close the menu.

Point (37): According to a further advantageous development, when the selected file is activated according to point (36), the file name can be stored in a separate configuration file.

Point (38): According to a further advantageous development, the data structure of the parameter file according to point (36) can be specified by the manufacturer of the system and can be partially variable if necessary. In a specific case, the data structure can correspond to the XML format. The data can be edited by the user using an editor with the character code UTF-8.

Point (39): According to a further advantageous development, it is conceivable that after executing the individual functions according to point (1) and Pi, each called up by the computer form according to point (25), the computing time in the display for the program status according to point (25 ) is output.

Point (40): According to a further advantageous development, the corresponding from the literature can be used to optimize the computing time for the faculty function H. Netz, "Formulas der Mathematik", Carl Hanser Verlag, 1975, ISBN: 3-446-11549- 8 known algorithms can be modified as follows: In a recursive program routine, each multiplication factor that is an integer multiple of 10 is through 10 divided and at the same time the result of the function is the (provisional) exponent to the base 10 around 1 elevated. At the end of the multiplication series, the mantissa present in the Biginteger data type is divided by a number that is equal to the base 10 is exponentiated with the provisional exponent obtained above. For the mathematical compensation of this operation, the provisional exponent is doubled and results in the resulting exponent. With this procedure, the pairs of multiplication factors are also taken into account in each completed decade 2 respectively. 5 end up. These shortening of the mantissa results in a speed advantage when converting from the Biginteger data type to exponential notation, which is particularly noticeable when calculating large numbers.

Point (41): According to a further advantageous development, lines with text can be written to the data lines in the buffer. For example as follows: The text is entered in the x-line using an external keyboard, then this line is copied to the clipboard by clicking the "M" key. The checkbox and its sub-functions according to item (28) can also be available for text lines. To change a text, the sub-function "RCL" is called, the text is copied into the y line.

Then swap "x <> y" and edit the text in the x line. To overwrite an existing line in the buffer, click the corresponding checkbox and select the "M +" or equivalent "M-" function in the submenu that then appears. In the "Extended" mode, the text is edited in the long form of the x line. If the text length exceeds the permissible value, the text is cut off and the string "@ .." is appended. The system or the program automatically checks each line for its data type. First - depending on the current number system "Dec" or "Hex" - a numerical value is checked. If the numerical check returns an error, the line is interpreted as text. A security question then appears whether text should be written to the operand line or to the buffer. Text lines are also transferred with "M Import" and "M Export". When transferring an empty line, a "0" is inserted.

Point (42): According to a further advantageous development, the data type between "* .TXT" and "* .HTML" can be selected for data import and export according to point (25). With the "* .TXT" type, one data value is processed per file line, with the "* .HTML" type, a table in HTML format is used as the data structure, which can include several HTML columns and HTML lines. Further processing of the exported data in HTML format by external programs is possible, in particular also for the graphic representation of the data values.

Point (43): According to a further advantageous development, a menu for selecting the data values to be transmitted can be offered for data import and data export according to point (42).

The computing time according to point (39) gives the following values for a test run on a standard 2014 PC:
Addition x = PI + PI mode 16E4: <1ms mode 56E4: <1ms mode 1000E4: 15ms mode 1000E6: 15ms mode 1000E8: 15ms
Subtraction x = (2 * PI) - PI mode 16E4: <1ms mode 56E4: <1ms mode 1000E4: 15ms mode 1000E6: 15ms mode 1000E8: 15ms
Multiplication x = PI * PI mode 16E4: <1ms mode 56E4: <1ms mode 1000E4: 15ms mode 1000E6: 15ms mode 1000E8: 22ms
Division x = (2 * PI) / PI mode 16E4: <1ms mode 56E4: <1ms mode 1000E4: 15ms mode 1000E6: 15ms mode 1000E8: 21ms
Square root x = sqrt (PI) mode 16E4: 189ms mode 56E4: 269ms mode 1000E4: 38s 519ms mode 1000E6: 39s 270ms mode 1000E8: 38s 468ms
Square root x = sqrt (7E10000) mode 56E8: 224ms
Square root x = sqrt (7E100000) mode 56E8: 610ms
Square root x = sqrt (7E1000000) mode 56E8: 33s 877ms
Square root x = sqrt (7E10000000) mode 56E8: 56m 4s 806ms
Square root x = sqrt (7E99999999) mode 56E8: 3d 23h 25m 21s 114ms
Reciprocal x = 1 / PI mode 16E4: <1ms mode 56E4: <1ms mode 1000E4: 15ms mode 1000E6: 15ms mode 1000E8: 22ms
Modulo x = mod (1E1000, PI) mode 16E4: <1ms mode 56E4: 16ms mode 1000E4: 15ms mode 1000E6: 15ms mode 1000E8: 15ms
Faculty (Dec) mode 1000E8: x = 3248! 796ms mode 1000E8: x = 25205! 7s 359ms mode 1000E8: x = 204000! 4m 10s 203ms mode 1000E8: x = 1000000! 1h 52m 39s 813ms mode 1000E8: x = 2000000! 7h 56m 42s 431ms mode 1000E8: x = 3000000! 18h 36m 9s 342ms mode 1000E8: x = 5000000! 2d 6h 28m 51s 90ms mode 1000E8: x = 10000000! 9d 20h 1m 50s 767ms mode 1000E8: x = 14840000! 22d 19h 58m 44s 824ms
Powers x = x ^ y (e ^ 1, 20000) mode 16E4: 19s 170ms mode 56E4: 3m 57s 102ms mode 1000E4: 22h 21m 53s 548ms mode 1000E8: 21h 59m 46s 955ms
Exponential function x = e ^ x (1) mode 56E8: 3s 734 ms mode 1000E4: 9h 30m
Exponential function x = e ^ x (2E4) mode 16E4: 300ms mode 16E6: 316ms mode 16E8: 316ms mode 56E4: 4s 141 ms mode 56E6: 4s 179 ms mode 56E8: 4s 195 ms mode 1000E4: 11h 39m mode 1000E6: 11h 36m 2s 21ms mode 1000E8: 11h 34m 28s 83ms
Exponential function x = e ^ x (2E5) mode 56E8: 5s 874ms
Exponential function x = e ^ x (2E6) mode 56E8: 2m 1s 312ms
Exponential function x = e ^ x (2E7) mode 56E8: 3h 15m 42s 61ms
Exponential function x = e ^ x (2E8) mode 56E8: unknown (very long)
Logarithm, decimal x = log (PI, 10) mode 16E4: 31ms mode 56E4: 37 ms mode 1000E4: 12s 315ms mode 1000E6: 12s 378ms mode 1000E8: 12s 331ms
Logarithm naturalis x = In (PI) mode 16E4: 37 ms mode 56E4: 31ms mode 1000E4: 12s 532ms mode 1000E6: 12s 563ms mode 1000E8: 13s 84ms
Sine x = sin (60 degrees) mode 16E4: 69ms mode 56E4: 53 milliseconds mode 1000E4: 6s 849ms mode 1000E8: 6s 833ms
Cosine x = cos (60 degrees) mode 16E4: 62ms mode 56E4: 53 milliseconds mode 1000E4: 6s 935ms mode 1000E8: 6s 998ms
Tangent x = tan (60 degrees) mode 16E4: 88ms mode 56E4: 133ms mode 1000E4: 14s 441ms mode 1000E8: 14s 174ms
Arc sine x = asin (0.5) mode 16E4: 385ms mode 56E4: 1s 140ms mode 1000E4: 8m 47s 294ms mode 1000E8: 8m 47s 939ms
Arc cosine x = acos (0.5) mode 16E4: 363ms mode 56E4: 1s 117ms mode 1000E4: 8m 49s 323ms mode 1000E8: 8m 49s 60ms
Arc tangent x = atan (0.5) mode 16E4: 184ms mode 56E4: 902ms mode 1000E4: 8m 20s 98ms mode 1000E8: 8m 17s 802ms

• - Die Rechengenauigkeit der Software bzw. des Systems und der Wertebereich der Daten sind in mehreren Stufen benutzerdefiniert einstellbar.
• - Die bei den eingesetzten Algorithmen verwendeten mathematischen Konstanten In(2), In(10), CORDIC_g_einfach und CORDIC_g_komplex können mit dem System bzw. mit der Software in der benötigten hohen Genauigkeit berechnet werden.
• - Die physikalischen Konstanten in dem System bzw. in der Software können bei Fortschritt der Wissenschaft durch Änderung einer Parameterdatei aktualisiert werden.
• - Die Import- und Exportfunktion ermöglicht einen schnellen Datenaustausch.
• - Die Ausführungsgeschwindigkeit der Algorithmen ist optimiert worden.
• - Zur Berechnung der mathematischen Funktionen ist ein handelsüblicher PC ausreichend, während bisher vergleichbare Berechnungen nur auf Hochleistungsrechnern möglich waren.
• - Bei der Berechnung der Reihenentwicklung mathematischer Funktionen gibt es eine Fortschrittsanzeige in Prozent der signifikanten Dezimalstellen.
• - Der variabel dimensionierbare Zwischenspeicher unterstützt das Ablegen und Weiterverwenden von Zwischenergebnissen bei komplexen Berechnungen.

Advantageous embodiments of the invention can provide one or more of the following advantages:

• - The calculation accuracy of the software or the system and the value range of the data can be set in several user-defined settings.
• - The mathematical constants In (used in the algorithms used 2 ), In( 10 ), CORDIC_g_einfach and CORDIC_g_komplex can be calculated with the system or with the software with the required high accuracy.
• - The physical constants in the system or in the software can be updated as science advances by changing a parameter file.
• - The import and export function enables fast data exchange.
• - The execution speed of the algorithms has been optimized.
• - A commercially available PC is sufficient to calculate the mathematical functions, whereas previously comparable calculations were only possible on high-performance computers.
• - When calculating the series development of mathematical functions, there is a progress indicator in percent of the significant decimal places.
• - The variably dimensionable buffer supports the storage and further use of intermediate results for complex calculations.

• 1 ein Blockdiagramm zur Veranschaulichung eines Systems zur Durchführung von mathematischen Berechnungen auf Basis von vorgebbaren Eingabedaten gemäß einem Ausführungsbeispiel. der Erfindung.

There are now various possibilities for advantageously designing and developing the teaching of the present invention. For this purpose, reference is made on the one hand to the claims subordinate to claim 1 and on the other hand to the following explanation of preferred exemplary embodiments of the invention with reference to the drawing. In connection with the explanation of the preferred exemplary embodiments of the invention with reference to the drawing, generally preferred refinements and developments of the teaching are also explained. In the drawing shows

• 1 a block diagram illustrating a system for performing mathematical calculations based on predefinable input data according to an embodiment. the invention.

1 shows a block diagram of a system for performing mathematical calculations based on predefinable input data according to an embodiment. the invention. The first step is to start 1 of the fully installed system in the form of a computer program, especially under the Windows operating system 10 , When first run, access control 2 the processor identity number and user name are automatically queried, encrypted and via the Internet 3 transferred to the manufacturer's web server. The web server forms an activation code and sends it to the user by email. The user is asked to manually enter the unlock code in a data entry window 2 to copy. The activation code is saved on the user computer. Provides access control 2 then a release, the control menu / data entry 4 according to items (24), (25) and (26) described above. The user can use operands 5 Enter x and y in the operand lines - cf. Point (8) and with these values mathematical functions 6 Execute according to point (1). Some of the math functions 6 and PI call permanently stored mathematical constants 10 from. With the help of formatting 7 the calculation results are converted to exponential notation and displayed in the operand line x. The functionality of the remaining block elements results from the points in the section above 3 , especially physical constants 8th - see. Point (33) and point (34) as well as scaling parameters - cf. Point (3) and point (4) and buffer 11 - see. Points (10) to (15).

With regard to further advantageous embodiments of the system according to the invention, reference is made to the general part of the description and to the appended claims in order to avoid repetition.

Finally, it should be expressly pointed out that the exemplary embodiments of the system according to the invention described above are only used to explain the claimed teaching, but do not restrict them to the exemplary embodiments.

LIST OF REFERENCE NUMBERS

1

begin

2

access control

3

Internet

4

Menu control / data input

5

operand

6

Mathematician. features

7

formatting

8th

Physical constants

9

scaling parameters

10

Mathematical constants

11

cache

12

External files

13

log files

QUOTES INCLUDE IN THE DESCRIPTION

This list of documents listed by the applicant has been generated automatically and is only included for better information for the reader. The list is not part of the German patent or utility model application. The DPMA assumes no liability for any errors or omissions.

Non-patent literature cited

• H. Netz, "Formulas der Mathematik", Carl Hanser Verlag, 1975, ISBN: 3-446-11549- [0055]

Claims (10)

System for performing mathematical calculations on the basis of predeterminable input data, the system comprising a calculation module and an input / output module, characterized in that a calculation accuracy of one or more calculations of the calculation module can be specified by one or more configuration parameters, and that the or the configuration parameters for determining the calculation accuracy of the calculation module can / are user-defined via the input / output module. System according to Claim 1 , characterized in that the calculation module is designed such that it can carry out one or more of the following calculations: addition, subtraction, multiplication, division, square root, reciprocal value, modulo, factorial, exponentiation (x high y), e-function, logarithm either based on base 10 or user-defined, natural logarithm, sine, cosine, tangent, arc sine, arc cosine and / or arc tangent. System according to Claim 1 or 2 , characterized in that operands and / or results calculated by the calculation module can be represented in exponential notation via the input / output module, the representation in exponential notation comprising a mantissa, a base and an exponent. System according to one of the Claims 1 to 3 , characterized in that the length of the mantissa and / or the length of the exponent is / are user-definable in a predetermined step to a predefined number of decimal places. System according to Claim 3 or 4 , characterized in that the mantissa can be set in a user-defined manner via a configuration parameter, preferably to 16, 25, 56, 250 and / or 1000 decimal places, possibly plus a sign. System according to one of the Claims 3 to 5 , characterized in that the length of the exponent can be set in a user-defined manner via a configuration parameter, preferably to 4, 6 and / or 8 decimal places, possibly plus a sign. System according to one of the Claims 1 to 6 , characterized in that a Biglnteger data type is used to carry out the mathematical calculations by the calculation module. System according to one of the Claims 1 to 7 , characterized in that one or more, preferably variably dimensionable, intermediate store (s) is / are provided, the intermediate store (s) being / being accessible and operable by the user via the input / output module. System according to one of the Claims 1 to 8th , characterized in that a parameter file is provided for providing one or more physical constants, the parameter file being adaptable, preferably for update purposes. System according to one of the Claims 1 to 9 , characterized in that a calculation progress of one or more calculations can be logged in a log file.

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