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1 Copyright (C) 2012-2019 Jan Christian Rohde 2 3 This file is part of MACE. 4 5 MACE is free software; you can redistribute it and/or modify 6 it under the terms of the GNU General Public License as published by 7 the Free Software Foundation; either version 3 of the License, or (at your 8 option) any later version. 9 10 MACE is distributed in the hope that it will be useful, but 11 WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY 12 or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public 13 License for more details. 14 15 You should have received a copy of the GNU General Public License 16 along with MACE. If not, see http://www.gnu.org/licenses/. 17 18 19 20 EXECUTE / COMPILE 21 22 MACE is written in QT 5.10 and directly executable, if you use Windows. Just 23 click on start MACE.bat. 24 25 26 27 GENERAL INFORMATION 28 29 MACE is a Mathematical program for Algorithms, Calculations and Equations. 30 It is designed to be as easy to run as a hand-held calculator. The goal of 31 the project is a neat tool covering the Mathematics at university level 32 and advanced high-school level. 33 34 MACE has 230 functions, logical operations and statistical distributions. 35 All of the distributions and many of the functions are obtained from boost 36 math. Moreover MACE uses GNU GMP for fast arbitrary precision calculations. 37 Among the functions and statistical distributions of MACE you find for 38 example: 39 40 +greatest common divisor 41 +log_a(b) 42 +solve a system of linear equations 43 +normal (Gaussian) distribution 44 +curve sketching 45 +fast Fourier transform 46 47 You may work intuitively with MACE, since MACE decides automatically which 48 data type is the correct one for your input. 49 50 On the other hand you can also work with MACE in an advanced way. Matrices can 51 be stored as variables and single entries can be manipulated. Moreover the 52 data types String and Complex Function are introduced. MACE has a scripting 53 language using the parser grammar of the main program. Prefix increment and 54 decrement operators and the elseif are introduced. Additional information is 55 provided in the error messages for scripts. Instead of structures and classes, 56 the scripting language provides the property to record the data sets of sub- 57 script, to read these data sets and to reuse them again for other sub-scripts. 58 The additional commands previously used by the scripting language can also be 59 performed by inserting them into the input editor. 60 61 You should get some example scripts with this release of MACE. 62 63 MACE computes with arbitrary precision integers, (double, double) complex 64 numbers, (double) real numbers and integral residue classes. Moreover it 65 computes with polynomials, matrices over the complex numbers resp., 66 integral residue classes and with complex differentiable functions. MACE has 67 an advanced plotter for real functions and for complex functions. 68 69 By pressing the enter key, you can use the result of your previous calculations 70 for further computations. Moreover you can use the up - and down arrow tabs to 71 navigate through your entries. 72 73 You may use the keyboard of your computer or the keyboard on the main window 74 of MACE. The grammar of MACE allows you to compose several arithmetic 75 operations and functions. The only rule is that you cannot use the value of a 76 numeric function for an arbitrary precision function. All complex and real 77 functions are numerical. All other functions for polynomials and integers have 78 arbitrary precision. The great exceptions are the extended Euclidean algorithm, 79 the prime factor decomposition and the system of linear equations. These functions 80 cannot be called to return the argument of another function. This is due to the 81 fact that these functions do not have a single datum as result. 82 83 For two real, complex numbers or complex functions a and b one can compute the 84 power a^b by entering it. For all other types of data the power by a positive 85 integer is implemented. 86 87 88 89 REPORTING BUGS 90 91 If you find a bug in MACE, please make sure to tell us about it! 92 eport bugs to jan-christian.rohde@gmx.de.