fixed_point | C Binary Fixed-Point Arithmetic | Build Tool library

 by   johnmcfarlane C++ Version: p0675r0 License: BSL-1.0

kandi X-RAY | fixed_point Summary

kandi X-RAY | fixed_point Summary

fixed_point is a C++ library typically used in Utilities, Build Tool applications. fixed_point has no bugs, it has no vulnerabilities, it has a Permissive License and it has low support. You can download it from GitHub.

The fixed_point library provides a header-only C++11 API for approximating real numbers using binary fixed-point arithmetic. It forms the reference implementation of a standard library proposal presented in paper, P0037 and is developed as part of study groups, SG14 and SG6.
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              fixed_point has a low active ecosystem.
              It has 203 star(s) with 33 fork(s). There are 17 watchers for this library.
              OutlinedDot
              It had no major release in the last 12 months.
              There are 5 open issues and 108 have been closed. On average issues are closed in 376 days. There are no pull requests.
              It has a neutral sentiment in the developer community.
              The latest version of fixed_point is p0675r0

            kandi-Quality Quality

              fixed_point has no bugs reported.

            kandi-Security Security

              fixed_point has no vulnerabilities reported, and its dependent libraries have no vulnerabilities reported.

            kandi-License License

              fixed_point is licensed under the BSL-1.0 License. This license is Permissive.
              Permissive licenses have the least restrictions, and you can use them in most projects.

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              fixed_point releases are available to install and integrate.
              Installation instructions, examples and code snippets are available.

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            fixed_point Key Features

            No Key Features are available at this moment for fixed_point.

            fixed_point Examples and Code Snippets

            No Code Snippets are available at this moment for fixed_point.

            Community Discussions

            QUESTION

            Min/max values of a templated type
            Asked 2020-Oct-12 at 18:16

            I have a rather basic question. Suppose I have a templated function:

            ...

            ANSWER

            Answered 2020-Oct-12 at 18:16

            The way to handle this is to continue using std::numeric_limits, and add template specializations for all of the desired input types.

            Quoting cppreference:

            Implementations may provide specializations of std::numeric_limits for implementation-specific types: e.g. GCC provides std::numeric_limits<__int128>. Non-standard libraries may add specializations for library-provided types, e.g. OpenEXR provides std::numeric_limits for a 16-bit floating-point type.

            Source https://stackoverflow.com/questions/64323217

            QUESTION

            Compile-time Type Replacement in C++
            Asked 2020-Sep-17 at 14:38

            Say I have a program that uses a built in type such as float and I want to have the ability to supply a command-line argument to my compiler to change all float declarations to be fixed_point<8,8> instead.

            Presuming that they're the exact same interface (as in, they can be treated the same with regards to assignment / addition / conversion / etc), is there a way in via compiler or build system (cmake / scons / etc) to swap types during compilation when specifying a specific flag? This would serve a few benefits with regards to determinism, for instance.

            ...

            ANSWER

            Answered 2020-Sep-17 at 14:38

            You can declare your variable with an alias type, which is defined conditionally based on a preprocessor definition, like this:

            Source https://stackoverflow.com/questions/63854923

            QUESTION

            Fastest way to compute large amount of fixed points in python?
            Asked 2020-Aug-13 at 06:00

            I have a large amount of one-dimensional nonlinear fixed point problems to solve, what is the most efficient numerical solver? I'm currently using scipy.optimize.fixed_point, it takes around 17s to run 1000 of my tasks. Thanks for any suggestions.

            ...

            ANSWER

            Answered 2020-Aug-13 at 06:00

            If these are all 1D, you can take the fixed_point source, https://github.com/scipy/scipy/blob/v1.5.2/scipy/optimize/minpack.py#L876 simplify it (can decide once on the acceleration strategy, no need for _lazywhere etc) and compile it with either cython or numba.

            Source https://stackoverflow.com/questions/63385687

            QUESTION

            fixed point to find root of a²+a³=392 but report OverflowError
            Asked 2019-Dec-31 at 02:45

            I tried to find the root of a²+a³=392 with fixed_point introduced by SICP 1.1.3 functions as general method

            ...

            ANSWER

            Answered 2019-Dec-31 at 02:45

            I think this problem is not well suited for solving via a fixed-point procedure. If you print the (abs (- next guess)) for each iteration, you'll see that the value is increasing between iterations, it'll never converge to the specified tolerance - hence the Numerical result out of range error.

            Source https://stackoverflow.com/questions/59527108

            QUESTION

            The inner `try` interation in `fixed-point`
            Asked 2019-Dec-27 at 08:09

            I am reading the fix-point of SICP:

            ...

            ANSWER

            Answered 2019-Dec-27 at 08:09

            It's the opposite: it's cleaner and more efficient with try because it doesn't need to redefine the good-enough-p.

            (also, you're not supposed to use recursion in Python).

            The version with try is better than the version which calls the top function, fixed-point, because fixed-point contains inner definitions, of the functions good-enough-p and try. A simple-minded compiler would compile it so that on each call it actually makes those definitions anew, again and again, on each call. With try there's no such concern as it is already inside the fixed-point's inner environment where good-enough-p is already defined, and so try can just run.

            (correction/clarification: the above treats your code as if it were Scheme, with internal defines instead of the Common Lisp with defuns as you show. SICP is Scheme, after all. In Common Lisp / ELisp there's not even a question -- the internal defuns will always be performed, on each call to the enclosing function, just (re)defining the same functions at the top level over and over again.)

            Incidentally, I like your Python loop translation, it is a verbatim translation of the Scheme's tail-recursive loop, one to one.

            Your while translation is exactly what a Scheme compiler is supposed to be doing given the first tail-recursive Scheme code in your question. The two are exactly the same, down to the "horrible while True ... with an escape" which, personally, I quite like for its immediacy and clarity. Meaning, I don't need to keep track of which value gets assigned to what variable and which variable gets returned in the end -- instead, a value is just returned, just like it is in Scheme.

            Source https://stackoverflow.com/questions/59488351

            QUESTION

            Binary search performing worse than linear
            Asked 2019-Sep-08 at 23:56

            I'm practicing rudimentary programming skills on leetcode.com (I highly recommend it. It's great) and I ran into an interesting result.

            I'm trying to find the first fixed point of a given array A with strictly ascending values.

            I did this in two ways. First, a binary search / linear time hybrid

            ...

            ANSWER

            Answered 2019-Sep-08 at 23:56

            At if A[middle] == middle: the position of "any index of the fixed point is found". The first version more efficiently finds the start of the midpoint run, assuming that it occurs 'close to' (fsvo) the start of the linear scan: the cost of each binary loop is 'more expensive' (larger C), regardless of number of loops needed (O complexity). For specific degenerate input, it should be possible to construct cases where the pure binary search is better: eg. size of n and distribution of input.

            For example, the degenerate case of [0, 0, 0 ..., midpoint=1, 1, 1 ...] would be be O(n) in the first version as the linear loop would be over start=0..midpoint=n/21. Using this degenerate data, and a large enough value of n, the plain binary search will dominate as it's bounded better. However, assuming that it is 'well distributed random data', then the approach with the linear probe could hone in on a very small linear scan set (smaller C for final loops).

            This is similar to why a linear scan is faster for small arrays, and why a merge-sort or quick-sort (eg.) may switch to an insertion sort for near-leaf sorting. Big-O describes the behavior as n -> Inifinity, without consideration of the constant costs.

            1The scan could also be midpoint=n/2..start=0.. in that case the degenerate case shown is the ideal case and corresponding degenerate case would be [0, 1, 1, 1 ...].

            Source https://stackoverflow.com/questions/57844424

            QUESTION

            How to convert floating point algorithm to fixed point?
            Asked 2019-Aug-08 at 04:35

            After reading quite a bit about fixed-point arithmetic I think I can say I've understood the basics, unfortunately I don't know yet how to convert routines that use sin/cos/sqrt or any other fp function.

            Consider this simple mcve:

            ...

            ANSWER

            Answered 2019-Aug-06 at 07:09

            The basic idea for a lookup table is simple -- you use the fixed point value as an index into an array to look up the value. The problem is if your fixed point values are large, your tables become huge. For a full table with a 32-bit FP type you need 4*232 bytes (16GB) which is impractically large. So what you generally do is use a smaller table (smaller by a factor of N) and the linearly interpolate between two values in the table to do the lookup.

            In your case, you appear to want to use a 223 reduction so you need a table with just 513 elements. To do the lookup, you then use the upper 9 bits as an index into the table and use the lower 23 bits to interpolate. eg:

            Source https://stackoverflow.com/questions/57334690

            QUESTION

            Find a fixed point with only one input (an array) for the function
            Asked 2019-Jul-06 at 23:26

            I am trying to find a fixed point in an array using a function that only accepts one input (an array). The problem is, I'm trying to avoid building another function that this function can call. If I could do that, this situation would be solved. These arrays will contain a list of sorted integers for me to iterate through. I am trying to keep its runtime low by using binary search. I've tried this a 100 different ways, and nothing is quite working.

            ...

            ANSWER

            Answered 2018-Jun-03 at 01:53

            The fundamental problem with your algorithm as written is that you lose track of where you are in the original array. When you recurse, you return the fixed point of half of the array, but for example in [-4, -2, 0, 2, 4] when you split the array and find the fixed point in [2, 4] it doesn't work, because there is no fixed point in [2, 4]. You need to pass an offset into each recursive call, so you can say something like if mid + offset == a[mid].

            Source https://stackoverflow.com/questions/50662584

            QUESTION

            Android Studio build NDK {NDK_PROJECT_PATH=null} Error 87 => Error 1
            Asked 2019-May-03 at 14:17

            I would like to add a opus library with wrapper from github to my project, but I have some errors when building. Maybe somebody know what's going on.

            Attach a build log.

            ...

            ANSWER

            Answered 2018-Sep-17 at 23:47
            $ echo 'D:/GitProject/aliservicescontroller/AliServicesControllerAndroid/opuslib/build/intermediates/ndkBuild/debug/obj/local/armeabi-v7a/objs-debug/senz/D_/GitProject/aliservicescontroller/AliServicesControllerAndroid/opuslib/src/main/jni/opus/silk/code_signs.o.cflags.tmp' | wc -c
            266
            

            Source https://stackoverflow.com/questions/52363215

            QUESTION

            Boost spirit fixed point as integer parser
            Asked 2019-Jan-09 at 21:45

            I have the following parser,

            ...

            ANSWER

            Answered 2019-Jan-09 at 21:45

            Use optional parser to not fail if there is no fractional part.

            Also you had PRICE_MULT with 4 zeros, but dec_part was allowed up to 6 digits.

            Source https://stackoverflow.com/questions/54092755

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