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authorDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-27 18:24:20 +0000
committerDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-27 18:24:20 +0000
commit483eb2f56657e8e7f419ab1a4fab8dce9ade8609 (patch)
treee5d88d25d870d5dedacb6bbdbe2a966086a0a5cf /src/spdk/dpdk/lib/librte_sched/rte_approx.c
parentInitial commit. (diff)
downloadceph-upstream.tar.xz
ceph-upstream.zip
Adding upstream version 14.2.21.upstream/14.2.21upstream
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'src/spdk/dpdk/lib/librte_sched/rte_approx.c')
-rw-r--r--src/spdk/dpdk/lib/librte_sched/rte_approx.c167
1 files changed, 167 insertions, 0 deletions
diff --git a/src/spdk/dpdk/lib/librte_sched/rte_approx.c b/src/spdk/dpdk/lib/librte_sched/rte_approx.c
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+++ b/src/spdk/dpdk/lib/librte_sched/rte_approx.c
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+/* SPDX-License-Identifier: BSD-3-Clause
+ * Copyright(c) 2010-2014 Intel Corporation
+ */
+
+#include <stdlib.h>
+
+#include "rte_approx.h"
+
+/*
+ * Based on paper "Approximating Rational Numbers by Fractions" by Michal
+ * Forisek forisek@dcs.fmph.uniba.sk
+ *
+ * Given a rational number alpha with 0 < alpha < 1 and a precision d, the goal
+ * is to find positive integers p, q such that alpha - d < p/q < alpha + d, and
+ * q is minimal.
+ *
+ * http://people.ksp.sk/~misof/publications/2007approx.pdf
+ */
+
+/* fraction comparison: compare (a/b) and (c/d) */
+static inline uint32_t
+less(uint32_t a, uint32_t b, uint32_t c, uint32_t d)
+{
+ return a*d < b*c;
+}
+
+static inline uint32_t
+less_or_equal(uint32_t a, uint32_t b, uint32_t c, uint32_t d)
+{
+ return a*d <= b*c;
+}
+
+/* check whether a/b is a valid approximation */
+static inline uint32_t
+matches(uint32_t a, uint32_t b,
+ uint32_t alpha_num, uint32_t d_num, uint32_t denum)
+{
+ if (less_or_equal(a, b, alpha_num - d_num, denum))
+ return 0;
+
+ if (less(a ,b, alpha_num + d_num, denum))
+ return 1;
+
+ return 0;
+}
+
+static inline void
+find_exact_solution_left(uint32_t p_a, uint32_t q_a, uint32_t p_b, uint32_t q_b,
+ uint32_t alpha_num, uint32_t d_num, uint32_t denum, uint32_t *p, uint32_t *q)
+{
+ uint32_t k_num = denum * p_b - (alpha_num + d_num) * q_b;
+ uint32_t k_denum = (alpha_num + d_num) * q_a - denum * p_a;
+ uint32_t k = (k_num / k_denum) + 1;
+
+ *p = p_b + k * p_a;
+ *q = q_b + k * q_a;
+}
+
+static inline void
+find_exact_solution_right(uint32_t p_a, uint32_t q_a, uint32_t p_b, uint32_t q_b,
+ uint32_t alpha_num, uint32_t d_num, uint32_t denum, uint32_t *p, uint32_t *q)
+{
+ uint32_t k_num = - denum * p_b + (alpha_num - d_num) * q_b;
+ uint32_t k_denum = - (alpha_num - d_num) * q_a + denum * p_a;
+ uint32_t k = (k_num / k_denum) + 1;
+
+ *p = p_b + k * p_a;
+ *q = q_b + k * q_a;
+}
+
+static int
+find_best_rational_approximation(uint32_t alpha_num, uint32_t d_num, uint32_t denum, uint32_t *p, uint32_t *q)
+{
+ uint32_t p_a, q_a, p_b, q_b;
+
+ /* check assumptions on the inputs */
+ if (!((0 < d_num) && (d_num < alpha_num) && (alpha_num < denum) && (d_num + alpha_num < denum))) {
+ return -1;
+ }
+
+ /* set initial bounds for the search */
+ p_a = 0;
+ q_a = 1;
+ p_b = 1;
+ q_b = 1;
+
+ while (1) {
+ uint32_t new_p_a, new_q_a, new_p_b, new_q_b;
+ uint32_t x_num, x_denum, x;
+ int aa, bb;
+
+ /* compute the number of steps to the left */
+ x_num = denum * p_b - alpha_num * q_b;
+ x_denum = - denum * p_a + alpha_num * q_a;
+ x = (x_num + x_denum - 1) / x_denum; /* x = ceil(x_num / x_denum) */
+
+ /* check whether we have a valid approximation */
+ aa = matches(p_b + x * p_a, q_b + x * q_a, alpha_num, d_num, denum);
+ bb = matches(p_b + (x-1) * p_a, q_b + (x - 1) * q_a, alpha_num, d_num, denum);
+ if (aa || bb) {
+ find_exact_solution_left(p_a, q_a, p_b, q_b, alpha_num, d_num, denum, p, q);
+ return 0;
+ }
+
+ /* update the interval */
+ new_p_a = p_b + (x - 1) * p_a ;
+ new_q_a = q_b + (x - 1) * q_a;
+ new_p_b = p_b + x * p_a ;
+ new_q_b = q_b + x * q_a;
+
+ p_a = new_p_a ;
+ q_a = new_q_a;
+ p_b = new_p_b ;
+ q_b = new_q_b;
+
+ /* compute the number of steps to the right */
+ x_num = alpha_num * q_b - denum * p_b;
+ x_denum = - alpha_num * q_a + denum * p_a;
+ x = (x_num + x_denum - 1) / x_denum; /* x = ceil(x_num / x_denum) */
+
+ /* check whether we have a valid approximation */
+ aa = matches(p_b + x * p_a, q_b + x * q_a, alpha_num, d_num, denum);
+ bb = matches(p_b + (x - 1) * p_a, q_b + (x - 1) * q_a, alpha_num, d_num, denum);
+ if (aa || bb) {
+ find_exact_solution_right(p_a, q_a, p_b, q_b, alpha_num, d_num, denum, p, q);
+ return 0;
+ }
+
+ /* update the interval */
+ new_p_a = p_b + (x - 1) * p_a;
+ new_q_a = q_b + (x - 1) * q_a;
+ new_p_b = p_b + x * p_a;
+ new_q_b = q_b + x * q_a;
+
+ p_a = new_p_a;
+ q_a = new_q_a;
+ p_b = new_p_b;
+ q_b = new_q_b;
+ }
+}
+
+int rte_approx(double alpha, double d, uint32_t *p, uint32_t *q)
+{
+ uint32_t alpha_num, d_num, denum;
+
+ /* Check input arguments */
+ if (!((0.0 < d) && (d < alpha) && (alpha < 1.0))) {
+ return -1;
+ }
+
+ if ((p == NULL) || (q == NULL)) {
+ return -2;
+ }
+
+ /* Compute alpha_num, d_num and denum */
+ denum = 1;
+ while (d < 1) {
+ alpha *= 10;
+ d *= 10;
+ denum *= 10;
+ }
+ alpha_num = (uint32_t) alpha;
+ d_num = (uint32_t) d;
+
+ /* Perform approximation */
+ return find_best_rational_approximation(alpha_num, d_num, denum, p, q);
+}