#PROGRAM FOR BISECTION METHOD IN FORTRAN CODE DO LOOP PORTABLE#pC++ allows the user to write portable and efficient code which will run on a wide range of scalable parallel computer systems. PC++ is a language extension to C++ designed to allow programmers to compose ``concurrent aggregate`` collection classes which can be aligned and distributed over the memory hierarchy of a parallel machine in a manner modeled on the High Performance Fortran Forum (HPFF) directives for Fortran 90. Barbara Chapman, has been working with project partners, external collaborators and hardware vendors to increase the scalability and applicability of OpenMP for multi-core (and future manycore) platforms and for distributed memory systems by exploring different programming models, language extensions, compiler optimizations, as well as runtime library support. In the Center for Programming Models for Scalable Parallel Computing project, the HPCTools team at the University of Houston (UH), directed by Dr. We have observed this trend and worked deligiently to improve our OpenMP compiler and runtimes, as well as to work with the OpenMP standard organization to make sure OpenMP are evolved in the direction close to more » DoE missions. Yet in the recent years, it has been graduately adopted both in HPC applications, mostly in the form of MPI+OpenMP hybrid code, and in mid-scale desktop applications for scientific and experimental studies. OpenMP was not well recognized at the beginning of the project, around year 2003, because of its limited use in DoE production applications and the inmature hardware support for an efficient implementation. The report details the research, development, findings, and conclusions from this = , This has involved working with the teams that provide infrastructure for CAF that we rely on, implementing new language and runtime features, producing an open source compiler that enabled us to evaluate our ideas, and evaluating our design and implementation through the use of benchmarks. Research and development efforts of the project have focused on the CAF 2.0 language, compiler, runtime system, and supporting infrastructure. Work over the course of this project has focused on the design, implementation, and evaluation of a second-generation version of Coarray Fortran. } Output The value of root is : -0.As part of the Center for Programming Models for Scalable Parallel Computing, Rice University collaborated with project partners in the design, development and deployment of language, compiler, and runtime support for parallel programming models to support application development for the “leadership-class” computer systems at DOE national laboratories. Prints root of solution(x) with error in EPSILON An example function whose solution is determined using Print "You have not assumed right a and b "Įlse if solution(c)*solution(a) In function int main()ĭeclare and Initialize inputs a =-500, b = 100 Step 2-> In function bisection(double a, double b) Check if f(a) * f(m) In function double solution(double x).Divide the intervals as : m = (a + b) / 2.Input the equation and the value of intervals a and b.Input-: x^3 - x^2 + 2 a =-200 and b = 300Īpproach that we are using in the below program is as follow − Output-: The value of root is : -0.991821 To find the root between these intervals the limit is divided into parts and stored in the variable m i.e.Īfter the division of limits new interval will be generated as shown in the figure given belowĮxample Input-: x^3 - x^2 + 2 a =-500 and b = 100 Given below is the figure which is showing the intervals f(a) and f(b). m is the value of root which can be multiple Now, If a function f(x) is continuous in the given interval and also, sign of f(a) ≠ sign of f(b) then there will be a value m which belongs to the interval a and b such that f(m) = 0 So, root of this quadratic function F(x) will be 2. This equation is equals to 0 when the value of x will be 2 i.e. The root of the function can be defined as the value a such that f(a) = 0. The task is to find the value of root that lies between interval a and b in function f(x) using bisection method.īisection method is used to find the value of a root in the function f(x) within the given limits defined by ‘a’ and ‘b’. Given with the function f(x) with the numbers a and b where, f(a) * f(b) > 0 and the function f(x) should lie between a and b i.e.
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