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Best data type to store Financial/Monetary Values?

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  • kshegunovK kshegunov

    You do understand the problem here is not with the floating point precision, but it's with the floating point itself, right?
    Floating point operations are exact to at most 1 epsilon which is the maximum relative difference between the two numbers. RELATIVE. I can even repeat it if it will help.

    Suppose you are working on a 10-base floating point computer and you have 2 digits for mantissa and 1 digit for exponent. The absolute difference between two numbers with zero exponent is 0.01 by construction. Now, what is the absolute difference between two numbers with exponent 2? Well, it is 0.01 * 100 = 1. So you trade off your absolute precision for dynamic range. For most intents and purposes this is just perfectly fine!
    When you need to do accounting, however, there are different regulations in place, and this trade-off is unacceptable! Your ABSOLUTE precision, can't be less than a specific amount, so that's why people use fixed-point, because the epsilon there is both relative and absolute measurement of the accuracy of an operation/number.

    VRoninV Offline
    VRoninV Offline
    VRonin
    wrote on last edited by
    #23

    @kshegunov

    I'm not trying to be a smarta55, I'm honestly asking out of ignorance

    Can You show me an example of operation that can compromise say the 50th decimal of a boost::multiprecision::cpp_dec_float_100 ?

    "La mort n'est rien, mais vivre vaincu et sans gloire, c'est mourir tous les jours"
    ~Napoleon Bonaparte

    On a crusade to banish setIndexWidget() from the holy land of Qt

    kshegunovK 1 Reply Last reply
    0
    • VRoninV VRonin

      @kshegunov

      I'm not trying to be a smarta55, I'm honestly asking out of ignorance

      Can You show me an example of operation that can compromise say the 50th decimal of a boost::multiprecision::cpp_dec_float_100 ?

      kshegunovK Offline
      kshegunovK Offline
      kshegunov
      Moderators
      wrote on last edited by kshegunov
      #24

      @VRonin said in Best data type to store Financial/Monetary Values?:

      You show me an example of operation that can compromise say the 50th decimal of a boost::multiprecision::cpp_dec_float_100 ?

      Of course not. :)
      That is, unless you're about to keep numbers in the magnitude of about 10 to the 40th power. We have no physical, tangible quantity that spans those ranges. Or to put some context in, as I'm a physicist after all:

      • the approximate diameter of the milky way (our galaxy) is in the magnitude 10^18 km, and has about 10^11 stars
      • the total number of atoms in the universe is estimated to about 10^80
      • we know physical constants with limited precision, but let's take one of the best known - the fine-structure constant (it's the exact number behind the atomic clock), so we know that with a certainty of about 10^-9.

      Now look back and tell me, do you need 50 decimal places really? The point is there's already established way to represent numbers for this specific purpose, and there are regulations in place (I mean, really, they've written down in law how rounding should take place). Also note 50 decimal places would translate to about 150 bits (~18 bytes) for the mantissa alone ...!

      As Chris said, it's been done, it's not new, it's known. So why would you venture into the depths of arbitrary precision arithmetic (i.e. brute force the solution) to combat a problem that's been solved way back?

      Read and abide by the Qt Code of Conduct

      1 Reply Last reply
      2
      • jronaldJ Offline
        jronaldJ Offline
        jronald
        wrote on last edited by jronald
        #25

        Why not use cent as money unit and use int64?

        boost::multiprecision seems a little complex, personally I don't like the style of boost/STL, reason:

        1. syntax is not clear, even worse when considering the implementation
        2. speed is not extremely fast, for example, recently I've checked comparison of string formatting mechanisms between C and C++, the C style is more easy to use and 2x faster than C++ style. BTW, Qt and C# adopt the C way.
        thamT 1 Reply Last reply
        0
        • jronaldJ jronald

          Why not use cent as money unit and use int64?

          boost::multiprecision seems a little complex, personally I don't like the style of boost/STL, reason:

          1. syntax is not clear, even worse when considering the implementation
          2. speed is not extremely fast, for example, recently I've checked comparison of string formatting mechanisms between C and C++, the C style is more easy to use and 2x faster than C++ style. BTW, Qt and C# adopt the C way.
          thamT Offline
          thamT Offline
          tham
          wrote on last edited by tham
          #26

          @jronald said in Best data type to store Financial/Monetary Values?:

          Why not use cent as money unit and use int64?

          boost::multiprecision seems a little complex, personally I don't like the style of boost/STL, reason:

          1. syntax is not clear, even worse when considering the implementation

          I think this is based on personal taste and skills, boost and many part of the stl leverage lots of generic programming and TMP, if you are not familiar with basic of generic programming, it is natural for you to find the syntax is weird.

          About implementation, those library are not for average c++ programmer to maintain but for those programmers who are smart and love c++. As a season c++ programmer, I will expect they know and familiar with stl, basic generic programming and TMP.

          Unless for me, api and the idea of stl is brilliant, it is master piece of a genius. Quality of boost are very high too.

          1. speed is not extremely fast, for example, recently I've checked comparison of string formatting mechanisms between C and C++, the C style is more easy to use and 2x faster than C++ style. BTW, Qt and C# adopt the C way.

          This depends on the purpose of the design philosophy, if you are talking about std::stringstream or boost::format, usually they are slower or much slower than c library(especially boost format), after all their main purpose are not blazing fast. This do not mean they are bad or poor, but they have different design purpose.

          Do c api provide you type safety?Do c api manage your memory dynamic?Do c api provide you extension flexibility as std::stream provided? It is like compare apple with orange

          Evidence

          1 : std::sort is much faster than qsort of c, and I believe none of the c library can provide fast, light weight yet extensible algorithms api like stl provide(std::sort, std::transform, std::iota, std::set_difference etc), c do not have the expressive power of c++ provided. c++ can design almost any api c allowed to do, but there are many c++ api cannot be done by c
          2 : boost spirit is very fast, even faster than c functions if you use it right and compile your codes on modern compiler

          Both of the examples leverage generic programming and TMP, but their performance are great or superb, even better than standard c library.

          If speed is what matter most, we are still writing machine codes today.

          jronaldJ kshegunovK 2 Replies Last reply
          0
          • thamT tham

            @jronald said in Best data type to store Financial/Monetary Values?:

            Why not use cent as money unit and use int64?

            boost::multiprecision seems a little complex, personally I don't like the style of boost/STL, reason:

            1. syntax is not clear, even worse when considering the implementation

            I think this is based on personal taste and skills, boost and many part of the stl leverage lots of generic programming and TMP, if you are not familiar with basic of generic programming, it is natural for you to find the syntax is weird.

            About implementation, those library are not for average c++ programmer to maintain but for those programmers who are smart and love c++. As a season c++ programmer, I will expect they know and familiar with stl, basic generic programming and TMP.

            Unless for me, api and the idea of stl is brilliant, it is master piece of a genius. Quality of boost are very high too.

            1. speed is not extremely fast, for example, recently I've checked comparison of string formatting mechanisms between C and C++, the C style is more easy to use and 2x faster than C++ style. BTW, Qt and C# adopt the C way.

            This depends on the purpose of the design philosophy, if you are talking about std::stringstream or boost::format, usually they are slower or much slower than c library(especially boost format), after all their main purpose are not blazing fast. This do not mean they are bad or poor, but they have different design purpose.

            Do c api provide you type safety?Do c api manage your memory dynamic?Do c api provide you extension flexibility as std::stream provided? It is like compare apple with orange

            Evidence

            1 : std::sort is much faster than qsort of c, and I believe none of the c library can provide fast, light weight yet extensible algorithms api like stl provide(std::sort, std::transform, std::iota, std::set_difference etc), c do not have the expressive power of c++ provided. c++ can design almost any api c allowed to do, but there are many c++ api cannot be done by c
            2 : boost spirit is very fast, even faster than c functions if you use it right and compile your codes on modern compiler

            Both of the examples leverage generic programming and TMP, but their performance are great or superb, even better than standard c library.

            If speed is what matter most, we are still writing machine codes today.

            jronaldJ Offline
            jronaldJ Offline
            jronald
            wrote on last edited by jronald
            #27

            @tham
            qsort is slower, but it can rewritten while keeping its interface unchanged.
            Compare Net Library and STL/boost, the interface of C# is better than that of STL/boost, though C# is not good at low level things.

            thamT 1 Reply Last reply
            0
            • thamT tham

              @jronald said in Best data type to store Financial/Monetary Values?:

              Why not use cent as money unit and use int64?

              boost::multiprecision seems a little complex, personally I don't like the style of boost/STL, reason:

              1. syntax is not clear, even worse when considering the implementation

              I think this is based on personal taste and skills, boost and many part of the stl leverage lots of generic programming and TMP, if you are not familiar with basic of generic programming, it is natural for you to find the syntax is weird.

              About implementation, those library are not for average c++ programmer to maintain but for those programmers who are smart and love c++. As a season c++ programmer, I will expect they know and familiar with stl, basic generic programming and TMP.

              Unless for me, api and the idea of stl is brilliant, it is master piece of a genius. Quality of boost are very high too.

              1. speed is not extremely fast, for example, recently I've checked comparison of string formatting mechanisms between C and C++, the C style is more easy to use and 2x faster than C++ style. BTW, Qt and C# adopt the C way.

              This depends on the purpose of the design philosophy, if you are talking about std::stringstream or boost::format, usually they are slower or much slower than c library(especially boost format), after all their main purpose are not blazing fast. This do not mean they are bad or poor, but they have different design purpose.

              Do c api provide you type safety?Do c api manage your memory dynamic?Do c api provide you extension flexibility as std::stream provided? It is like compare apple with orange

              Evidence

              1 : std::sort is much faster than qsort of c, and I believe none of the c library can provide fast, light weight yet extensible algorithms api like stl provide(std::sort, std::transform, std::iota, std::set_difference etc), c do not have the expressive power of c++ provided. c++ can design almost any api c allowed to do, but there are many c++ api cannot be done by c
              2 : boost spirit is very fast, even faster than c functions if you use it right and compile your codes on modern compiler

              Both of the examples leverage generic programming and TMP, but their performance are great or superb, even better than standard c library.

              If speed is what matter most, we are still writing machine codes today.

              kshegunovK Offline
              kshegunovK Offline
              kshegunov
              Moderators
              wrote on last edited by kshegunov
              #28

              @tham said in Best data type to store Financial/Monetary Values?:

              Thread carefully there.

              Do c api provide you type safety?

              It does, no less than the type-safety C++ provides.

              Do c api manage your memory dynamic?

              It does, the infamous malloc/realloc and free.

              Do c api provide you extension flexibility as std::stream provided?

              This doesn't make much sense, as std::stream is something STL specific. But there are libraries I'm sure, that provide the same functionality through a C API.

              std::sort is much faster than qsort of c

              Can you prove that?

              c++ can design almost any api c allowed to do, but there are many c++ api cannot be done by c

              Show me! That statement is leading and simply not true.

              Both of the examples leverage generic programming and TMP, but their performance are great or superb, even better than standard c library.

              Once again, you will have to prove that claim. You can't just drop the bomb and not follow up.

              Read and abide by the Qt Code of Conduct

              thamT 1 Reply Last reply
              1
              • kshegunovK kshegunov

                @tham said in Best data type to store Financial/Monetary Values?:

                Thread carefully there.

                Do c api provide you type safety?

                It does, no less than the type-safety C++ provides.

                Do c api manage your memory dynamic?

                It does, the infamous malloc/realloc and free.

                Do c api provide you extension flexibility as std::stream provided?

                This doesn't make much sense, as std::stream is something STL specific. But there are libraries I'm sure, that provide the same functionality through a C API.

                std::sort is much faster than qsort of c

                Can you prove that?

                c++ can design almost any api c allowed to do, but there are many c++ api cannot be done by c

                Show me! That statement is leading and simply not true.

                Both of the examples leverage generic programming and TMP, but their performance are great or superb, even better than standard c library.

                Once again, you will have to prove that claim. You can't just drop the bomb and not follow up.

                thamT Offline
                thamT Offline
                tham
                wrote on last edited by tham
                #29

                @kshegunov said in Best data type to store Financial/Monetary Values?:

                @tham said in Best data type to store Financial/Monetary Values?:

                Do c api provide you type safety? Do c api manage your memory dynamic?Do c api provide you extension flexibility as std::stream provided?

                Sorry, I did not state if clear, I was comparing standard c++ and standard c libraries(scanf, printf, strlen, strcpy, memcpy etc), the answer is no, standard c libraries never provide stream libraries like std::stream which provide type safe, manage memory automatic and extensible

                example :

                std::string line;
                std::string contents;
                while(std::getline(file, line)){
                    std::istringstream iss(line);
                    int a, b;
                    if (!(iss >> a >> b>>contents)) { break; } // error
                    process_file(a,b,contents);
                }
                

                Try to do it with c standard library without worry about memory leak, buffer overread(do you still remember heart bleed ?), type safe

                @kshegunov said in Best data type to store Financial/Monetary Values?:

                std::sort is much faster than qsort of c

                Can you prove that?

                I think this is common sense for any experiences c++ programmers(untrue for someone only know c with classes)?More than one c++ gurus mentioned this truth

                Performance of qsort vs std::sort?

                About boost spirit, see this post

                @kshegunov said in Best data type to store Financial/Monetary Values?:

                Show me! That statement is leading and simply not true.

                It is hard to find a c api cannot be done by c++, but it is very easy to come up simple api to prove that c do not have the ability to design the api c++ able to do, this is obvious because c++ offer much more features than c.

                All of the design should not pollute global scope

                1 : Design something like std::sort by c, which

                a : faster than qsort
                b : type safe
                c : generic and extensible, able to sort any kind of data
                d : it at most only need three parameters

                With c, I cannot satisfy all of the requirements by one api, but it is piece of cake by c++.

                2 : Design resource handle like std::unique_ptr

                a : light weight, as light as raw pointer
                b : can handle almost any resource
                c : extensible, able to determine how to clean up the resource
                d : api must be as easy to use as std::unique_ptr
                e : cannot copy but able to move

                example :

                monster *monster_a = new slime(30, slime_a)
                //do something
                delete monster_a;
                montser_a = nullptr;
                
                //with unique pointer
                auto monster_a = std::make_unique<slime>(30, "slime_a");
                //do something
                //forget it because monster_a will kill itself after it leave the scope
                

                3 : Design a function which could calculate the sum of value at compile time and runtime by one and single api

                constexpr long long addition(long long num)
                {
                    long long sum = 0;
                    for (long long i = 0; i <= num; i++)
                    {
                        sum += i;
                    }
                
                    return sum;
                }
                
                //.......
                addition(50000); //calculate the sum at compile time
                long long num = 0;
                std::cin>>num; //type safe :)
                addition(num); //calculate the sum at runtime
                

                4 : Make sure the double value you declare is a compile time constant(100%) without the risk of scope polluting

                //ultra simple and easy to read with c++
                constexpr double PI = 3.141592653589793;
                

                And so on, I cannot list them all. I believe similar examples and skills I mentioned are basic and mentioned in great c++ textbook.

                Every c programmer I met who bash c++ harsh never really spend their times to study c++, yet everyone of them pretend they know c++ very well, I always want to say f**k to them. It is impossible for c programmer to use c++ efficiently if they always refuse to spend their time to study a great c++ textbook(I know this because I learned c before c++). c++ is not a language you can treat it seriously, but a language you must treat it seriously, you cannot use it wise if you do not spend your time to study how are those gurus write their codes.

                kshegunovK 1 Reply Last reply
                0
                • jronaldJ jronald

                  @tham
                  qsort is slower, but it can rewritten while keeping its interface unchanged.
                  Compare Net Library and STL/boost, the interface of C# is better than that of STL/boost, though C# is not good at low level things.

                  thamT Offline
                  thamT Offline
                  tham
                  wrote on last edited by tham
                  #30

                  @jronald said in Best data type to store Financial/Monetary Values?:

                  qsort is slower, but it can rewritten while keeping its interface unchanged.

                  If you are talking about ABI, it is true, one of the defects of template is it is hard to maintain ABI compatibility

                  Compare Net Library and STL/boost, the interface of C# is better than that of STL/boost, though C# is not good at low level things.

                  I am not familiar with c# so I cannot give opinion on this part, but I would not surprise if c# offer lots of good libraries, after all it is maintained by microsoft

                  1 Reply Last reply
                  0
                  • thamT tham

                    @kshegunov said in Best data type to store Financial/Monetary Values?:

                    @tham said in Best data type to store Financial/Monetary Values?:

                    Do c api provide you type safety? Do c api manage your memory dynamic?Do c api provide you extension flexibility as std::stream provided?

                    Sorry, I did not state if clear, I was comparing standard c++ and standard c libraries(scanf, printf, strlen, strcpy, memcpy etc), the answer is no, standard c libraries never provide stream libraries like std::stream which provide type safe, manage memory automatic and extensible

                    example :

                    std::string line;
                    std::string contents;
                    while(std::getline(file, line)){
                        std::istringstream iss(line);
                        int a, b;
                        if (!(iss >> a >> b>>contents)) { break; } // error
                        process_file(a,b,contents);
                    }
                    

                    Try to do it with c standard library without worry about memory leak, buffer overread(do you still remember heart bleed ?), type safe

                    @kshegunov said in Best data type to store Financial/Monetary Values?:

                    std::sort is much faster than qsort of c

                    Can you prove that?

                    I think this is common sense for any experiences c++ programmers(untrue for someone only know c with classes)?More than one c++ gurus mentioned this truth

                    Performance of qsort vs std::sort?

                    About boost spirit, see this post

                    @kshegunov said in Best data type to store Financial/Monetary Values?:

                    Show me! That statement is leading and simply not true.

                    It is hard to find a c api cannot be done by c++, but it is very easy to come up simple api to prove that c do not have the ability to design the api c++ able to do, this is obvious because c++ offer much more features than c.

                    All of the design should not pollute global scope

                    1 : Design something like std::sort by c, which

                    a : faster than qsort
                    b : type safe
                    c : generic and extensible, able to sort any kind of data
                    d : it at most only need three parameters

                    With c, I cannot satisfy all of the requirements by one api, but it is piece of cake by c++.

                    2 : Design resource handle like std::unique_ptr

                    a : light weight, as light as raw pointer
                    b : can handle almost any resource
                    c : extensible, able to determine how to clean up the resource
                    d : api must be as easy to use as std::unique_ptr
                    e : cannot copy but able to move

                    example :

                    monster *monster_a = new slime(30, slime_a)
                    //do something
                    delete monster_a;
                    montser_a = nullptr;
                    
                    //with unique pointer
                    auto monster_a = std::make_unique<slime>(30, "slime_a");
                    //do something
                    //forget it because monster_a will kill itself after it leave the scope
                    

                    3 : Design a function which could calculate the sum of value at compile time and runtime by one and single api

                    constexpr long long addition(long long num)
                    {
                        long long sum = 0;
                        for (long long i = 0; i <= num; i++)
                        {
                            sum += i;
                        }
                    
                        return sum;
                    }
                    
                    //.......
                    addition(50000); //calculate the sum at compile time
                    long long num = 0;
                    std::cin>>num; //type safe :)
                    addition(num); //calculate the sum at runtime
                    

                    4 : Make sure the double value you declare is a compile time constant(100%) without the risk of scope polluting

                    //ultra simple and easy to read with c++
                    constexpr double PI = 3.141592653589793;
                    

                    And so on, I cannot list them all. I believe similar examples and skills I mentioned are basic and mentioned in great c++ textbook.

                    Every c programmer I met who bash c++ harsh never really spend their times to study c++, yet everyone of them pretend they know c++ very well, I always want to say f**k to them. It is impossible for c programmer to use c++ efficiently if they always refuse to spend their time to study a great c++ textbook(I know this because I learned c before c++). c++ is not a language you can treat it seriously, but a language you must treat it seriously, you cannot use it wise if you do not spend your time to study how are those gurus write their codes.

                    kshegunovK Offline
                    kshegunovK Offline
                    kshegunov
                    Moderators
                    wrote on last edited by
                    #31

                    @tham said in Best data type to store Financial/Monetary Values?:

                    yet everyone of them pretend they know c++ very well, I always want to say f**k to them

                    Okay, I'll take this as a sign I should stop arguing. Have a nice day.

                    Read and abide by the Qt Code of Conduct

                    thamT 1 Reply Last reply
                    0
                    • kshegunovK kshegunov

                      @tham said in Best data type to store Financial/Monetary Values?:

                      yet everyone of them pretend they know c++ very well, I always want to say f**k to them

                      Okay, I'll take this as a sign I should stop arguing. Have a nice day.

                      thamT Offline
                      thamT Offline
                      tham
                      wrote on last edited by tham
                      #32

                      @kshegunov said in Best data type to store Financial/Monetary Values?:

                      Okay, I'll take this as a sign I should stop arguing. Have a nice day.

                      It fine, because I know c cannot design many api like c++ do, I already prove it by examples, I did not
                      give those examples before I understand the limitation of c, it is a wise decision to avoid the challenge,
                      because my requests are mission impossible for c but easy to be done by c++.

                      Sorry for the words(f**k), I know it is harsh and no polite but nothing personal.
                      It is my true feeling when I saw the wars between c and c++ several times
                      There are too many c programmer who believe they are good at c++ and bash c++ very harsh without spending
                      their time to study it(full of false statements), it is no use to reason with them whether there are prove or not
                      If you are not one of them, you do not need to feel angry.

                      I wouldn't say I am an expert of c or c++(even today I am still studying programming, I know there are too many things I need to learned)
                      but I do spend my times to study and research these two languages and sure
                      the examples I mentioned are true, if I am wrong I would be happy to learn that(if someone can give me working example rather
                      than shouting or "I believe").

                      I already finish my part and prove that I am not one of those "pseudo c++ expert", all of the examples I mentioned are impossible to
                      be done by pure c, you can mimic it by void*, macro nor preprocessor, but this will sacrifice type safe or pollute global scope, it is the limitation of pure c.

                      kshegunovK 1 Reply Last reply
                      0
                      • thamT tham

                        @kshegunov said in Best data type to store Financial/Monetary Values?:

                        Okay, I'll take this as a sign I should stop arguing. Have a nice day.

                        It fine, because I know c cannot design many api like c++ do, I already prove it by examples, I did not
                        give those examples before I understand the limitation of c, it is a wise decision to avoid the challenge,
                        because my requests are mission impossible for c but easy to be done by c++.

                        Sorry for the words(f**k), I know it is harsh and no polite but nothing personal.
                        It is my true feeling when I saw the wars between c and c++ several times
                        There are too many c programmer who believe they are good at c++ and bash c++ very harsh without spending
                        their time to study it(full of false statements), it is no use to reason with them whether there are prove or not
                        If you are not one of them, you do not need to feel angry.

                        I wouldn't say I am an expert of c or c++(even today I am still studying programming, I know there are too many things I need to learned)
                        but I do spend my times to study and research these two languages and sure
                        the examples I mentioned are true, if I am wrong I would be happy to learn that(if someone can give me working example rather
                        than shouting or "I believe").

                        I already finish my part and prove that I am not one of those "pseudo c++ expert", all of the examples I mentioned are impossible to
                        be done by pure c, you can mimic it by void*, macro nor preprocessor, but this will sacrifice type safe or pollute global scope, it is the limitation of pure c.

                        kshegunovK Offline
                        kshegunovK Offline
                        kshegunov
                        Moderators
                        wrote on last edited by
                        #33

                        @tham said in Best data type to store Financial/Monetary Values?:

                        you do not need to feel angry.

                        I don't either way, but this is not the correct thread for such a discussion.

                        Read and abide by the Qt Code of Conduct

                        1 Reply Last reply
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                        • D Offline
                          D Offline
                          DannyChaffin
                          Banned
                          wrote on last edited by
                          #34
                          This post is deleted!
                          1 Reply Last reply
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                          • B binsoii

                            Hi! First of all. I'm so happy i found this active forum because in the internet the resources there are 3 - 6 years old.

                            is there any new way or update in handling Financial Data?

                            I need to store amounts like 1000000000.654321 and pass in the database

                            I'm creating a Point of Sale System but i'm not sure in using double, because in C# .Net there is System.Decimal.
                            My Database is PostgreSql and i store it there as decimal/numeric.

                            So far these are the things i've found from https://forum.qt.io/topic/36788/qt-has-no-decimal-or-currency-implement/9.
                            * GNU Multiple Precision Arithmetic Library
                            * QDecimal
                            * Intel's Floating Point Math Library

                            I've also read in the Docs that the recommended Data type for Numeric in Postgresql is QString. How would i calculate that? convert it to double? isn't that inefficient?

                            Currently i'm trying QDecimal but i'm finding a hard time integrating it. and i found in github that the last update was Feb 2016. i am hesitant to continue to try it.

                            Has someone tried building a system like POS or anything that deals money? What did data type did you use? Can you help me? Thanks!

                            Regards!

                            Christian EhrlicherC Offline
                            Christian EhrlicherC Offline
                            Christian Ehrlicher
                            Lifetime Qt Champion
                            wrote on last edited by
                            #35
                            This post is deleted!
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