kernel / pub / scm / linux / kernel / git / deller / linux-fbdev / refs/heads/fbdev-6.1-2 / . / lib / polynomial.c

// SPDX-License-Identifier: GPL-2.0-only | |

/* | |

* Generic polynomial calculation using integer coefficients. | |

* | |

* Copyright (C) 2020 BAIKAL ELECTRONICS, JSC | |

* | |

* Authors: | |

* Maxim Kaurkin <maxim.kaurkin@baikalelectronics.ru> | |

* Serge Semin <Sergey.Semin@baikalelectronics.ru> | |

* | |

*/ | |

#include <linux/kernel.h> | |

#include <linux/module.h> | |

#include <linux/polynomial.h> | |

/* | |

* Originally this was part of drivers/hwmon/bt1-pvt.c. | |

* There the following conversion is used and should serve as an example here: | |

* | |

* The original translation formulae of the temperature (in degrees of Celsius) | |

* to PVT data and vice-versa are following: | |

* | |

* N = 1.8322e-8*(T^4) + 2.343e-5*(T^3) + 8.7018e-3*(T^2) + 3.9269*(T^1) + | |

* 1.7204e2 | |

* T = -1.6743e-11*(N^4) + 8.1542e-8*(N^3) + -1.8201e-4*(N^2) + | |

* 3.1020e-1*(N^1) - 4.838e1 | |

* | |

* where T = [-48.380, 147.438]C and N = [0, 1023]. | |

* | |

* They must be accordingly altered to be suitable for the integer arithmetics. | |

* The technique is called 'factor redistribution', which just makes sure the | |

* multiplications and divisions are made so to have a result of the operations | |

* within the integer numbers limit. In addition we need to translate the | |

* formulae to accept millidegrees of Celsius. Here what they look like after | |

* the alterations: | |

* | |

* N = (18322e-20*(T^4) + 2343e-13*(T^3) + 87018e-9*(T^2) + 39269e-3*T + | |

* 17204e2) / 1e4 | |

* T = -16743e-12*(D^4) + 81542e-9*(D^3) - 182010e-6*(D^2) + 310200e-3*D - | |

* 48380 | |

* where T = [-48380, 147438] mC and N = [0, 1023]. | |

* | |

* static const struct polynomial poly_temp_to_N = { | |

* .total_divider = 10000, | |

* .terms = { | |

* {4, 18322, 10000, 10000}, | |

* {3, 2343, 10000, 10}, | |

* {2, 87018, 10000, 10}, | |

* {1, 39269, 1000, 1}, | |

* {0, 1720400, 1, 1} | |

* } | |

* }; | |

* | |

* static const struct polynomial poly_N_to_temp = { | |

* .total_divider = 1, | |

* .terms = { | |

* {4, -16743, 1000, 1}, | |

* {3, 81542, 1000, 1}, | |

* {2, -182010, 1000, 1}, | |

* {1, 310200, 1000, 1}, | |

* {0, -48380, 1, 1} | |

* } | |

* }; | |

*/ | |

/** | |

* polynomial_calc - calculate a polynomial using integer arithmetic | |

* | |

* @poly: pointer to the descriptor of the polynomial | |

* @data: input value of the polynimal | |

* | |

* Calculate the result of a polynomial using only integer arithmetic. For | |

* this to work without too much loss of precision the coefficients has to | |

* be altered. This is called factor redistribution. | |

* | |

* Returns the result of the polynomial calculation. | |

*/ | |

long polynomial_calc(const struct polynomial *poly, long data) | |

{ | |

const struct polynomial_term *term = poly->terms; | |

long total_divider = poly->total_divider ?: 1; | |

long tmp, ret = 0; | |

int deg; | |

/* | |

* Here is the polynomial calculation function, which performs the | |

* redistributed terms calculations. It's pretty straightforward. | |

* We walk over each degree term up to the free one, and perform | |

* the redistributed multiplication of the term coefficient, its | |

* divider (as for the rationale fraction representation), data | |

* power and the rational fraction divider leftover. Then all of | |

* this is collected in a total sum variable, which value is | |

* normalized by the total divider before being returned. | |

*/ | |

do { | |

tmp = term->coef; | |

for (deg = 0; deg < term->deg; ++deg) | |

tmp = mult_frac(tmp, data, term->divider); | |

ret += tmp / term->divider_leftover; | |

} while ((term++)->deg); | |

return ret / total_divider; | |

} | |

EXPORT_SYMBOL_GPL(polynomial_calc); | |

MODULE_DESCRIPTION("Generic polynomial calculations"); | |

MODULE_LICENSE("GPL"); |