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VincSCalculator

1. Java BigIntegers library functions related to determine if a number is a prime number or not This because of course these functions use probabilistic methods to determine it Taken from Oracle documentation certainty a measure of the uncertainty that the caller is willing to tolerate The probability that the new BigInteger represents a prime number will exceed 1 1 2 3 The execution time of this constructor is proportional to the value of this parameter Some functions affected by it are so x pP is x prime probabilistically pNext next prime HMPP How Many Primes probabilistically etcetera e bitSz is the number of bit size used to create for example a random prime number with the function pRandom random prime number Very useful with cryptography applications e baseXXL the boundary of a digit in XXLInt data type e Dirichlet a couple of parameters dedicated to the mathematician but not used to prove his theorem used by HMPC HowManyPrimesCalculated and HMPR HowManyPrimes in Range functions to determine not only how many primes there are in a given range but also how many primes of those are in the format z K w where z and w are the input parameters As we know the famous Dirichlet theorem says that z and w must not have common factors but as already told we don t care it s not a method to prove his theorem Note default value are z 6 and w 1 just because it s easy and funny to verify and also
2. dedicated Dirichlet parameters see above To be continued Sambito Vincenzo Documenti Immagini Musica Oggetti recenti Computer Pannello di controllo Dispositivi e stampanti Programmi predefiniti Guida e supporto tecnico Arresta il sistema gt JU B Pannello di controllo Tutti gli elementi del Pannello di controllo gt IA Modifica le impostazioni del computer EA Account utente ay Backup e ripristino SE Centro connessioni di rete e condivis Centro sincronizzazione gt DTS Audio Control Panel E Gestione credenziali Icone area di notifica amp Opzioni di indicizzazione Ef Personalizzazione Programmi predefiniti VE SAP GUI Configuration Strumenti di amministrazione Windows CardSpace amp Attivit iniziali iL Barra delle applicazioni e menu Start Centro gestione dispositivi Windows Connessione RemoteApp e desktop Flash Player Gestione dispositivi Java D Posta elettronica 6 Riconoscimento vocale ES Schermo 2 Tastiera bid Windows Defender E mee a Audio RA Caratteri Centro operativo 1 Data e ora Gadget per il desktop E Grafica HD Intel P Mouse Opzioni risparmio energia MA Prestazioni del sistema Ripristino Sensore di posizione e altri sensori E Telefono e modem Windows Firewall Cerca nel Pannello di controllo P Visualizza per Icone piccole AutoPlay
3. Centro accessibilit Ei Centro PC portatile Windows A Dispositivi e stampanti E Gestione colori Gruppo Home E Opzioni cartella D Paesee lingua a Programmi e funzionalit Risoluzione dei problemi gE Sistema 2 Windows Anytime Upgrade Windows Update B Pannello di controllo Java Visualizza le informazioni sulla versione del pannello di controllo Java Informazioni su Impostazioni di rete Le impostazioni di rete vengono utilizzate per effettuare le connessioni a Internet Per impostazione predefinita Java utilizza le impostazioni di rete del browser Web La modifica di queste impostazioni destinata ai soli utenti avanzati File temporanei Internet I file utilizzati nelle applicazioni Java vengono memorizzati in una speciale cartella per una successiva esecuzione pi rapida La modifica di queste impostazioni o l eliminazione dei file sono destinate ai soli utenti avanzati Java nel browser abilitato Vedere la scheda Sicurezza Note in case View Visualizza is not enlighted cannot be pressed click before on Apply button Applicazione
4. Start technology by Oracle that means among other advantages an easy and transparent update of the product but always with the full awareness of the user Java offers also the advantage of a great emphasis in security matters embedded in its constantly upgraded technology in order to avoid deployment by Internet through browser of viruses and malicious software In facts the VincSCalculator is a signed application that means that the identity of the software developer has been verified by a Certifications Authority Symantec Thawte and that the software download from the specific URL position has not been caught and modified in order to introduce viruses or similar hacking attacks because it has been encrypted with the same signature Every time that the VincSCalculator will be executed unless checking the proper flag the signature introduction screen will be shown allowing the user to trust in the developer identity or not The verified developer is responsible in front of the State laws and legislation of malicious and fraudulent intentions Si desidera eseguire questa applicazione d it vincs calculator VincSCalculatorA aS gt Autore pubblicazione Vincenzo Sambito Posizione http www vincs it Questa applicazione verr eseguita con accesso limitato per proteggere il computer in uso e le informazioni personali __ Non visualizzare pi questo messaggio per le applicazioni provenienti dall autore pubblicazio
5. VincSCalculator User Manual Vincenzo Sambito Author VincSCalculator gmail com Revision 20150903 draft Related Software Release 0 1 x x x beta File VincSCalculator User Manual 20150903 Sw Rel 0 1 x x x ENG Revision history Revision date Description xx Yyy 2015 Draft Copyright This User Manual is a creative intellectual property of Vincenzo Sambito All rights reserved 2015 All other marks and brands reported in this book are properties of related owners Index 1 User License for VincSCalculator software i 24 FEALUFeS inizino rina renna anderen eine 2 1 Introducing the VinesCaleulator ue eine 2 2 Software development and deployment technologies i Mabel 231 Dou bl precisi n Dati pece 23 BigInt Data prada laza 233 XXLnt Data Type ara aa 3 Operations With IMtegerS zi ta IA ASI ANO IRONIA Ra SIA ORA ROSEN RR RSS ROLO Oa IRA 3 1 Dedicated keyboard and fiano 3 2 Pialle 33 lella ADDO I CREARE RR E EE E E E E E E IA 1 User License for VincSCalculator software As shown in the deployment source of VincSCalculator we here remind that the use of the software is underling such conditions here better detailed but not meaning that those provided on www vincs it are weak of meaning User License The software is property of the author shown in Java Code Signing Certificate No reverse engineering
6. apability e Java optimized bytecode available for operations e etc etc 2 3 3 XXLInt Data Type In case of doubts up to now this is a proprietary Data Type derived by BigInteger since every single digit of this data type is a BigInteger The aim of this class of object is to extend the capability of BigInteger data type Digits are separed by a dot or comma in the future in order to support other cultures The maximum value of every digit is represented and can be chosen by baseXXL 1000 Up to now for XXLInt data type only basic operations are supported Other operations are currently under development 3 Operations with Integers 3 1 Dedicated keyboard and parameters When the BigInt data type is selected as well as in the coming implementation of XXInt data type a dedicated portion of keyboard will be shown enabled with suitable operations and function for such kind of data Also some settable parameters are shown enabled This parameters can be left as they are in default value or may be changed by the user to fit his her needs Modulo 0 pCert 200 baseXXL 1000 bitsz h28 Dirichlet be K a 3 2 Parameters Shortly explained these parameters one by one e Modulo after every operation the final result will be automatically re calculated to be equal to result MOD Modulo Very useful working with modular arithmetic e pCert is the certainty given when using the
7. filled by Os Note the shift is made digit wise and not bit wise that s if you choose Binary data type not the operand is sign reverted and subtracted by 1 differently by negation xBy the Newton s Binomial coefficient Pascal s triangle etcetera Example for the 2nd coefficient in the 3rd row 1 3 3 1 insert 3 xBy 1 and you will get 3 Example for the 3rd coefficient in the 4th row 1 4 6 4 1 insert 4 xBy 2 and you will get 6 GCD the Greater Common Divisor among the two operands Example 15 GCD 6 3 Mod the Modulo operator Example 11 Mod 5 1 SHAI1 the Secure Hash Algorithm revision 1 HowManyPrimes functions where x stands for Gauss s function symbol HMPR Texy how many primes calculated in a given range Note don t exceed a range of 10000000 numbers calculation lasts about 30 secs Example 100 HMPR 200 21 there are 21 primes among 100 and 200 HMPC Tx how many primes calculated in a given range starting from 0 Example 100 HMPC gt 25 there are 25 primes among 0 and 100 HMPP 7le x how many primes counted with probabilistic method in a given range starting from 0 Note don t exceed 1000000 calculation lasts about 10 secs range starting from 0 Note don t exceed 100000 calculation lasts about 10 secs Note HMPR and HMPC functions output is enhanced in MAx memories block also with the calculation of how many primes are in a specific format that the user can trim with
8. is allowed No warranty is given This is not Free Software This is not Open Source software This software is a freeware where free means gratis per usage When the user is on line by Internet connection if there will be available a new release the software will be mandatorily updated automatically The author owns the rights to modify such license and conditions at any time he would like without any prior advice to the User that so accept to stop using the software even if used in older release if he she doesn t agree the new terms of license and of related conditions The User must read and consult all available documentation and media support priory using the product By pressing the Launch button the user accept above terms of license and related conditions 2 Features 2 1 Introducing the VincSCalculator As easily you can guess the VincSCalculator is primarily a calculator which aim is to give the same features in the average of such kind of software The user can take advantage in daily use of the calculator Differently from many other calculators the VincSCalculator is a multi language multi data type multi base the numeric base as the number is shown and input calculator More than this the VincSCalculator has many other not common features that will be illustrated later on 2 2 Software development and deployment technologies The VincSCalculator is written in Java source code More it is deployed using the Java Web
9. ne e dalla posizione indicati in precedenza i Ulteriori informazioni One of the main advantages of using Java is the availability of the BigInteger library a class derived from Numbers class particularly suitable for Numbers Theory experiments such as prime numbers research and application such as communication security cryptography and similar technology So the VincSCalculator among classic Double precision data type has built in the BigInt data type that allows to perform such kind of calculation 2 3 Number Data Types The user can select the preferred data type by proper radio buttons provided in the GUI as shown in the pictures here below If a section of the calculator keyboard make sense only in a specific Data Type as example operation among integers for BigInt this will be enabled shown when that specific Data Type is selected 2 3 1 Double precision Data Type The most common data type for commercial calculators It offers a limited precision and it uses exponent of 10 Exx to extend wideness of numbers Using the Double precision Data Type the choice of numeric base for viewing is limited to Decimal see also Chapter about these radio buttons 2 3 2 BigInt Data Type Documentation about this data type is widely available at Oracle s as its class of object is the BigInteger embedded in JDK since v1 1 Sumarizing e operations just among integers e arbitrary precision it relies only on hardware c
10. to prove that all prime numbers are in the format 6 K 1 but also how many of them are in the format 6 K versus how many are in the format 6 K 3 3 Keyboard Let s go now to calculator keys explained one by one e pNext next prime greater than the number in the operand field Examples 0 gt 2 20 gt 23 e pRand a random prime number with a bit size given by bitSz parameter Examples bitSz 8 and so 127 lt x lt 256 191 167 157 163 x the factorial of the given operand x the primorial of the given operand x pP is x a prime number The test is done using a probabilistic method using pCert parameter see above If yes the operand becomes 1 true if not the operand becomes 0 false x pD is x a prime number The test is done using a deterministic method a sieve If yes the operand becomes true if not the operand becomes 0 false and xor or bitwise operations among BigInteger operands Cr Bit clears the bit indicated by the given second parameter To obtain the result press Example 5 ClrBit 2 1 SetBit sets the bit indicated by the given second parameter To obtain the result press Example 5 SetBit 1 7 x y lt lt 0 the operand x currently in the operand field left shifted by y digits and filled by Os Note the shift is made digit wise and not bit wise that s if you choose Binary data type x y lt lt 0 the operand x currently in the operand field right shifted by y digits and

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