Development of algorithm and embedded software for separation of intersection points of quadrics
DOI:
https://doi.org/10.15587/1729-4061.2015.42609Keywords:
intelligent sensors of vector quantities, microcontroller, location of roots, separation, quadric, ARMAbstract
The relevance of developing the re-used functions for separation of solutions to nonlinear equations to apply in embedded software of intelligent sensors was shown in the paper. Analysis of existing mathematical libraries has revealed the lack of a single approach to separation of solutions to equations and software implementations of root location algorithms. Testing of existing library functions for clarification of solutions to nonlinear equations and their systems using numerical methods (Newton, chords and dichotomy), the results of which confirm that the possibility to find all solutions with a given accuracy depends on the initial approximation was performed. The algorithm for the separation of intersection points of quadrics (second order surfaces), equations of which are often used to describe field characteristics of sensors, included in intelligent sensors of vector quantities was proposed. The algorithm is implemented as a function by the C language in compliance with the MISRA C standard for the STM32F407VG microcontroller, included in the STM32F4Discovery debug board. Testing of the function developed has shown that it allows to find all the numeric fields, containing the intersection points of quadrics, after which approximate solutions can be clarified using one of the known methods. Developed function can be used to extend mathematical libraries for solving nonlinear equations adapted to ARM family microcontrollers.
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Copyright (c) 2015 Тетяна Анатоліївна Марусенкова, Денис Олегович Горман
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