Re: [PATCH v2 1/4] tracing/histogram: Optimize division by constants

From: Steven Rostedt
Date: Fri Oct 29 2021 - 14:45:47 EST


On Fri, 29 Oct 2021 11:33:27 -0700
Kalesh Singh <kaleshsingh@xxxxxxxxxx> wrote:

> If the divisor is a constant use specific division functions to
> avoid extra branches when the trigger is hit.
>
> If the divisor constant but not a power of 2, the division can be
> replaced with a multiplication and shift in the following case:
>
> Let X = dividend and Y = divisor.
>
> Choose Z = some power of 2. If Y <= Z, then:
> X / Y = (X * (Z / Y)) / Z
>
> (Z / Y) is a constant (mult) which is calculated at parse time, so:
> X / Y = (X * mult) / Z
>
> The division by Z can be replaced by a shift since Z is a power of 2:
> X / Y = (X * mult) >> shift
>
> As long, as X < Z the results will not be off by more than 1.
>
> Signed-off-by: Kalesh Singh <kaleshsingh@xxxxxxxxxx>
> Suggested-by: Steven Rostedt <rostedt@xxxxxxxxxxx>
> ---
>
> Changes in v2:
> - Return -EDOM if divisor is a constant and zero, per Steve
>
> kernel/trace/trace_events_hist.c | 117 ++++++++++++++++++++++++++++++-
> 1 file changed, 116 insertions(+), 1 deletion(-)
>
> diff --git a/kernel/trace/trace_events_hist.c b/kernel/trace/trace_events_hist.c
> index 364cb3091789..1084aa41f047 100644
> --- a/kernel/trace/trace_events_hist.c
> +++ b/kernel/trace/trace_events_hist.c
> @@ -68,7 +68,8 @@
> C(INVALID_SORT_FIELD, "Sort field must be a key or a val"), \
> C(INVALID_STR_OPERAND, "String type can not be an operand in expression"), \
> C(EXPECT_NUMBER, "Expecting numeric literal"), \
> - C(UNARY_MINUS_SUBEXPR, "Unary minus not supported in sub-expressions"),
> + C(UNARY_MINUS_SUBEXPR, "Unary minus not supported in sub-expressions"), \
> + C(DIVISION_BY_ZERO, "Division by zero"),
>
> #undef C
> #define C(a, b) HIST_ERR_##a
> @@ -92,6 +93,7 @@ typedef u64 (*hist_field_fn_t) (struct hist_field *field,
> #define HIST_FIELDS_MAX (TRACING_MAP_FIELDS_MAX + TRACING_MAP_VARS_MAX)
> #define HIST_ACTIONS_MAX 8
> #define HIST_CONST_DIGITS_MAX 21
> +#define HIST_DIV_SHIFT 20 /* For optimizing division by constants */
>
> enum field_op_id {
> FIELD_OP_NONE,
> @@ -160,6 +162,8 @@ struct hist_field {
>
> /* Numeric literals are represented as u64 */
> u64 constant;
> + /* Used to optimize division by constants */
> + u64 div_multiplier;
> };
>
> static u64 hist_field_none(struct hist_field *field,
> @@ -311,6 +315,72 @@ static u64 hist_field_div(struct hist_field *hist_field,
> return div64_u64(val1, val2);
> }
>
> +static u64 div_by_power_of_two(struct hist_field *hist_field,
> + struct tracing_map_elt *elt,
> + struct trace_buffer *buffer,
> + struct ring_buffer_event *rbe,
> + void *event)
> +{
> + struct hist_field *operand1 = hist_field->operands[0];
> + struct hist_field *operand2 = hist_field->operands[1];
> +
> + u64 val1 = operand1->fn(operand1, elt, buffer, rbe, event);
> + u64 val2 = operand2->fn(operand2, elt, buffer, rbe, event);

If these functions are only called when val2 is constant, can't we make it
such that we get val2 from the hist_field directly? That is:

u64 val2 = operand2->constant;

That would save us a function call, and an indirect on at that (that gets
slowed down by spectre).

Same for the ones below.

-- Steve


> +
> + return val1 >> __ffs64(val2);
> +}
> +
> +static u64 div_by_not_power_of_two(struct hist_field *hist_field,
> + struct tracing_map_elt *elt,
> + struct trace_buffer *buffer,
> + struct ring_buffer_event *rbe,
> + void *event)
> +{
> + struct hist_field *operand1 = hist_field->operands[0];
> + struct hist_field *operand2 = hist_field->operands[1];
> +
> + u64 val1 = operand1->fn(operand1, elt, buffer, rbe, event);
> + u64 val2 = operand2->fn(operand2, elt, buffer, rbe, event);
> +
> + return div64_u64(val1, val2);
> +}
> +
> +static u64 div_by_mult_and_shift(struct hist_field *hist_field,
> + struct tracing_map_elt *elt,
> + struct trace_buffer *buffer,
> + struct ring_buffer_event *rbe,
> + void *event)
> +{
> + struct hist_field *operand1 = hist_field->operands[0];
> + struct hist_field *operand2 = hist_field->operands[1];
> +
> + u64 val1 = operand1->fn(operand1, elt, buffer, rbe, event);
> +
> + /*
> + * If the divisor is a constant, do a multiplication and shift instead.
> + *
> + * Choose Z = some power of 2. If Y <= Z, then:
> + * X / Y = (X * (Z / Y)) / Z
> + *
> + * (Z / Y) is a constant (mult) which is calculated at parse time, so:
> + * X / Y = (X * mult) / Z
> + *
> + * The division by Z can be replaced by a shift since Z is a power of 2:
> + * X / Y = (X * mult) >> HIST_DIV_SHIFT
> + *
> + * As long, as X < Z the results will not be off by more than 1.
> + */
> + if (val1 < (1 << HIST_DIV_SHIFT)) {
> + u64 mult = operand2->div_multiplier;
> +
> + return (val1 * mult + ((1 << HIST_DIV_SHIFT) - 1)) >> HIST_DIV_SHIFT;
> + } else {
> + u64 val2 = operand2->fn(operand2, elt, buffer, rbe, event);
> +
> + return div64_u64(val1, val2);
> + }
> +}
> +
> static u64 hist_field_mult(struct hist_field *hist_field,
> struct tracing_map_elt *elt,
> struct trace_buffer *buffer,
> @@ -573,6 +643,37 @@ struct snapshot_context {
> void *key;
> };
>
> +
> +static struct hist_field *find_var_field(struct hist_trigger_data *hist_data,
> + const char *var_name);
> +
> +/*
> + * Returns the specific division function to use if the divisor
> + * is constant. This avoids extra branches when the trigger is hit.
> + */
> +static hist_field_fn_t hist_field_get_div_fn(struct hist_field *divisor)
> +{
> + u64 div;
> +
> + if (divisor->flags & HIST_FIELD_FL_VAR_REF) {
> + struct hist_field *var;
> +
> + var = find_var_field(divisor->var.hist_data, divisor->name);
> + div = var->constant;
> + } else
> + div = divisor->constant;
> +
> + if (!(div & (div - 1)))
> + return div_by_power_of_two;
> +
> + /* If the divisor is too large, do a regular division */
> + if (div > (1 << HIST_DIV_SHIFT))
> + return div_by_not_power_of_two;
> +
> + divisor->div_multiplier = div64_u64((u64)(1 << HIST_DIV_SHIFT), div);
> + return div_by_mult_and_shift;
> +}
> +
> static void track_data_free(struct track_data *track_data)
> {
> struct hist_elt_data *elt_data;
> @@ -2575,6 +2676,20 @@ static struct hist_field *parse_expr(struct hist_trigger_data *hist_data,
> expr->operands[0] = operand1;
> expr->operands[1] = operand2;
>
> +
> + if (field_op == FIELD_OP_DIV &&
> + operand2_flags & HIST_FIELD_FL_CONST) {
> + u64 divisor = (var2) ? var2->constant : operand2->constant;
> +
> + if (!divisor) {
> + hist_err(file->tr, HIST_ERR_DIVISION_BY_ZERO, errpos(str));
> + ret = -EDOM;
> + goto free;
> + }
> +
> + op_fn = hist_field_get_div_fn(operand2);
> + }
> +
> if (combine_consts) {
> if (var1)
> expr->operands[0] = var1;