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sched: loadavg: make calc_load_n() public
It's going to be used in a later patch. Keep the churn separate. Link: http://lkml.kernel.org/r/20180828172258.3185-6-hannes@cmpxchg.org Signed-off-by: Johannes Weiner <hannes@cmpxchg.org> Acked-by: Peter Zijlstra (Intel) <peterz@infradead.org> Tested-by: Suren Baghdasaryan <surenb@google.com> Tested-by: Daniel Drake <drake@endlessm.com> Cc: Christopher Lameter <cl@linux.com> Cc: Ingo Molnar <mingo@redhat.com> Cc: Johannes Weiner <jweiner@fb.com> Cc: Mike Galbraith <efault@gmx.de> Cc: Peter Enderborg <peter.enderborg@sony.com> Cc: Randy Dunlap <rdunlap@infradead.org> Cc: Shakeel Butt <shakeelb@google.com> Cc: Tejun Heo <tj@kernel.org> Cc: Vinayak Menon <vinmenon@codeaurora.org> Signed-off-by: Andrew Morton <akpm@linux-foundation.org> Signed-off-by: Linus Torvalds <torvalds@linux-foundation.org>
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@ -37,6 +37,9 @@ calc_load(unsigned long load, unsigned long exp, unsigned long active)
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return newload / FIXED_1;
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}
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extern unsigned long calc_load_n(unsigned long load, unsigned long exp,
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unsigned long active, unsigned int n);
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#define LOAD_INT(x) ((x) >> FSHIFT)
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#define LOAD_FRAC(x) LOAD_INT(((x) & (FIXED_1-1)) * 100)
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@ -91,6 +91,75 @@ long calc_load_fold_active(struct rq *this_rq, long adjust)
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return delta;
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}
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/**
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* fixed_power_int - compute: x^n, in O(log n) time
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*
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* @x: base of the power
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* @frac_bits: fractional bits of @x
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* @n: power to raise @x to.
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*
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* By exploiting the relation between the definition of the natural power
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* function: x^n := x*x*...*x (x multiplied by itself for n times), and
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* the binary encoding of numbers used by computers: n := \Sum n_i * 2^i,
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* (where: n_i \elem {0, 1}, the binary vector representing n),
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* we find: x^n := x^(\Sum n_i * 2^i) := \Prod x^(n_i * 2^i), which is
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* of course trivially computable in O(log_2 n), the length of our binary
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* vector.
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*/
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static unsigned long
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fixed_power_int(unsigned long x, unsigned int frac_bits, unsigned int n)
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{
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unsigned long result = 1UL << frac_bits;
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if (n) {
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for (;;) {
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if (n & 1) {
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result *= x;
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result += 1UL << (frac_bits - 1);
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result >>= frac_bits;
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}
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n >>= 1;
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if (!n)
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break;
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x *= x;
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x += 1UL << (frac_bits - 1);
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x >>= frac_bits;
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}
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}
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return result;
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}
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/*
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* a1 = a0 * e + a * (1 - e)
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*
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* a2 = a1 * e + a * (1 - e)
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* = (a0 * e + a * (1 - e)) * e + a * (1 - e)
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* = a0 * e^2 + a * (1 - e) * (1 + e)
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*
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* a3 = a2 * e + a * (1 - e)
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* = (a0 * e^2 + a * (1 - e) * (1 + e)) * e + a * (1 - e)
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* = a0 * e^3 + a * (1 - e) * (1 + e + e^2)
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*
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* ...
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*
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* an = a0 * e^n + a * (1 - e) * (1 + e + ... + e^n-1) [1]
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* = a0 * e^n + a * (1 - e) * (1 - e^n)/(1 - e)
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* = a0 * e^n + a * (1 - e^n)
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*
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* [1] application of the geometric series:
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*
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* n 1 - x^(n+1)
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* S_n := \Sum x^i = -------------
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* i=0 1 - x
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*/
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unsigned long
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calc_load_n(unsigned long load, unsigned long exp,
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unsigned long active, unsigned int n)
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{
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return calc_load(load, fixed_power_int(exp, FSHIFT, n), active);
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}
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#ifdef CONFIG_NO_HZ_COMMON
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/*
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* Handle NO_HZ for the global load-average.
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@ -210,75 +279,6 @@ static long calc_load_nohz_fold(void)
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return delta;
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}
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/**
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* fixed_power_int - compute: x^n, in O(log n) time
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*
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* @x: base of the power
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* @frac_bits: fractional bits of @x
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* @n: power to raise @x to.
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*
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* By exploiting the relation between the definition of the natural power
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* function: x^n := x*x*...*x (x multiplied by itself for n times), and
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* the binary encoding of numbers used by computers: n := \Sum n_i * 2^i,
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* (where: n_i \elem {0, 1}, the binary vector representing n),
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* we find: x^n := x^(\Sum n_i * 2^i) := \Prod x^(n_i * 2^i), which is
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* of course trivially computable in O(log_2 n), the length of our binary
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* vector.
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*/
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static unsigned long
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fixed_power_int(unsigned long x, unsigned int frac_bits, unsigned int n)
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{
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unsigned long result = 1UL << frac_bits;
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if (n) {
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for (;;) {
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if (n & 1) {
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result *= x;
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result += 1UL << (frac_bits - 1);
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result >>= frac_bits;
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}
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n >>= 1;
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if (!n)
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break;
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x *= x;
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x += 1UL << (frac_bits - 1);
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x >>= frac_bits;
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}
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}
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return result;
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}
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/*
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* a1 = a0 * e + a * (1 - e)
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*
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* a2 = a1 * e + a * (1 - e)
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* = (a0 * e + a * (1 - e)) * e + a * (1 - e)
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* = a0 * e^2 + a * (1 - e) * (1 + e)
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*
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* a3 = a2 * e + a * (1 - e)
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* = (a0 * e^2 + a * (1 - e) * (1 + e)) * e + a * (1 - e)
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* = a0 * e^3 + a * (1 - e) * (1 + e + e^2)
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*
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* ...
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*
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* an = a0 * e^n + a * (1 - e) * (1 + e + ... + e^n-1) [1]
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* = a0 * e^n + a * (1 - e) * (1 - e^n)/(1 - e)
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* = a0 * e^n + a * (1 - e^n)
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*
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* [1] application of the geometric series:
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*
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* n 1 - x^(n+1)
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* S_n := \Sum x^i = -------------
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* i=0 1 - x
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*/
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static unsigned long
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calc_load_n(unsigned long load, unsigned long exp,
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unsigned long active, unsigned int n)
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{
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return calc_load(load, fixed_power_int(exp, FSHIFT, n), active);
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}
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/*
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* NO_HZ can leave us missing all per-CPU ticks calling
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* calc_load_fold_active(), but since a NO_HZ CPU folds its delta into
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