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1// SPDX-License-Identifier: GPL-2.0-only2/*3 * Aptina Sensor PLL Configuration4 *5 * Copyright (C) 2012 Laurent Pinchart <laurent.pinchart@ideasonboard.com>6 */7 8#include <linux/device.h>9#include <linux/gcd.h>10#include <linux/kernel.h>11#include <linux/module.h>12 13#include "aptina-pll.h"14 15int aptina_pll_calculate(struct device *dev,16			 const struct aptina_pll_limits *limits,17			 struct aptina_pll *pll)18{19	unsigned int mf_min;20	unsigned int mf_max;21	unsigned int p1_min;22	unsigned int p1_max;23	unsigned int p1;24	unsigned int div;25 26	dev_dbg(dev, "PLL: ext clock %u pix clock %u\n",27		pll->ext_clock, pll->pix_clock);28 29	if (pll->ext_clock < limits->ext_clock_min ||30	    pll->ext_clock > limits->ext_clock_max) {31		dev_err(dev, "pll: invalid external clock frequency.\n");32		return -EINVAL;33	}34 35	if (pll->pix_clock == 0 || pll->pix_clock > limits->pix_clock_max) {36		dev_err(dev, "pll: invalid pixel clock frequency.\n");37		return -EINVAL;38	}39 40	/* Compute the multiplier M and combined N*P1 divisor. */41	div = gcd(pll->pix_clock, pll->ext_clock);42	pll->m = pll->pix_clock / div;43	div = pll->ext_clock / div;44 45	/* We now have the smallest M and N*P1 values that will result in the46	 * desired pixel clock frequency, but they might be out of the valid47	 * range. Compute the factor by which we should multiply them given the48	 * following constraints:49	 *50	 * - minimum/maximum multiplier51	 * - minimum/maximum multiplier output clock frequency assuming the52	 *   minimum/maximum N value53	 * - minimum/maximum combined N*P1 divisor54	 */55	mf_min = DIV_ROUND_UP(limits->m_min, pll->m);56	mf_min = max(mf_min, limits->out_clock_min /57		     (pll->ext_clock / limits->n_min * pll->m));58	mf_min = max(mf_min, limits->n_min * limits->p1_min / div);59	mf_max = limits->m_max / pll->m;60	mf_max = min(mf_max, limits->out_clock_max /61		    (pll->ext_clock / limits->n_max * pll->m));62	mf_max = min(mf_max, DIV_ROUND_UP(limits->n_max * limits->p1_max, div));63 64	dev_dbg(dev, "pll: mf min %u max %u\n", mf_min, mf_max);65	if (mf_min > mf_max) {66		dev_err(dev, "pll: no valid combined N*P1 divisor.\n");67		return -EINVAL;68	}69 70	/*71	 * We're looking for the highest acceptable P1 value for which a72	 * multiplier factor MF exists that fulfills the following conditions:73	 *74	 * 1. p1 is in the [p1_min, p1_max] range given by the limits and is75	 *    even76	 * 2. mf is in the [mf_min, mf_max] range computed above77	 * 3. div * mf is a multiple of p1, in order to compute78	 *	n = div * mf / p179	 *	m = pll->m * mf80	 * 4. the internal clock frequency, given by ext_clock / n, is in the81	 *    [int_clock_min, int_clock_max] range given by the limits82	 * 5. the output clock frequency, given by ext_clock / n * m, is in the83	 *    [out_clock_min, out_clock_max] range given by the limits84	 *85	 * The first naive approach is to iterate over all p1 values acceptable86	 * according to (1) and all mf values acceptable according to (2), and87	 * stop at the first combination that fulfills (3), (4) and (5). This88	 * has a O(n^2) complexity.89	 *90	 * Instead of iterating over all mf values in the [mf_min, mf_max] range91	 * we can compute the mf increment between two acceptable values92	 * according to (3) with93	 *94	 *	mf_inc = p1 / gcd(div, p1)			(6)95	 *96	 * and round the minimum up to the nearest multiple of mf_inc. This will97	 * restrict the number of mf values to be checked.98	 *99	 * Furthermore, conditions (4) and (5) only restrict the range of100	 * acceptable p1 and mf values by modifying the minimum and maximum101	 * limits. (5) can be expressed as102	 *103	 *	ext_clock / (div * mf / p1) * m * mf >= out_clock_min104	 *	ext_clock / (div * mf / p1) * m * mf <= out_clock_max105	 *106	 * or107	 *108	 *	p1 >= out_clock_min * div / (ext_clock * m)	(7)109	 *	p1 <= out_clock_max * div / (ext_clock * m)110	 *111	 * Similarly, (4) can be expressed as112	 *113	 *	mf >= ext_clock * p1 / (int_clock_max * div)	(8)114	 *	mf <= ext_clock * p1 / (int_clock_min * div)115	 *116	 * We can thus iterate over the restricted p1 range defined by the117	 * combination of (1) and (7), and then compute the restricted mf range118	 * defined by the combination of (2), (6) and (8). If the resulting mf119	 * range is not empty, any value in the mf range is acceptable. We thus120	 * select the mf lwoer bound and the corresponding p1 value.121	 */122	if (limits->p1_min == 0) {123		dev_err(dev, "pll: P1 minimum value must be >0.\n");124		return -EINVAL;125	}126 127	p1_min = max(limits->p1_min, DIV_ROUND_UP(limits->out_clock_min * div,128		     pll->ext_clock * pll->m));129	p1_max = min(limits->p1_max, limits->out_clock_max * div /130		     (pll->ext_clock * pll->m));131 132	for (p1 = p1_max & ~1; p1 >= p1_min; p1 -= 2) {133		unsigned int mf_inc = p1 / gcd(div, p1);134		unsigned int mf_high;135		unsigned int mf_low;136 137		mf_low = roundup(max(mf_min, DIV_ROUND_UP(pll->ext_clock * p1,138					limits->int_clock_max * div)), mf_inc);139		mf_high = min(mf_max, pll->ext_clock * p1 /140			      (limits->int_clock_min * div));141 142		if (mf_low > mf_high)143			continue;144 145		pll->n = div * mf_low / p1;146		pll->m *= mf_low;147		pll->p1 = p1;148		dev_dbg(dev, "PLL: N %u M %u P1 %u\n", pll->n, pll->m, pll->p1);149		return 0;150	}151 152	dev_err(dev, "pll: no valid N and P1 divisors found.\n");153	return -EINVAL;154}155EXPORT_SYMBOL_GPL(aptina_pll_calculate);156 157MODULE_DESCRIPTION("Aptina PLL Helpers");158MODULE_AUTHOR("Laurent Pinchart <laurent.pinchart@ideasonboard.com>");159MODULE_LICENSE("GPL v2");160