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-rw-r--r--gprof/hist.c754
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diff --git a/gprof/hist.c b/gprof/hist.c
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+++ b/gprof/hist.c
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+/* hist.c - Histogram related operations.
+
+ Copyright (C) 1999-2014 Free Software Foundation, Inc.
+
+ This file is part of GNU Binutils.
+
+ This program is free software; you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
+ the Free Software Foundation; either version 3 of the License, or
+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU General Public License for more details.
+
+ You should have received a copy of the GNU General Public License
+ along with this program; if not, write to the Free Software
+ Foundation, Inc., 51 Franklin Street - Fifth Floor, Boston, MA
+ 02110-1301, USA. */
+
+#include "gprof.h"
+#include "libiberty.h"
+#include "search_list.h"
+#include "source.h"
+#include "symtab.h"
+#include "corefile.h"
+#include "gmon_io.h"
+#include "gmon_out.h"
+#include "hist.h"
+#include "sym_ids.h"
+#include "utils.h"
+#include "math.h"
+#include "stdio.h"
+#include "stdlib.h"
+
+#define UNITS_TO_CODE (offset_to_code / sizeof(UNIT))
+
+static void scale_and_align_entries (void);
+static void print_header (int);
+static void print_line (Sym *, double);
+static int cmp_time (const PTR, const PTR);
+
+/* Declarations of automatically generated functions to output blurbs. */
+extern void flat_blurb (FILE * fp);
+
+static histogram *find_histogram (bfd_vma lowpc, bfd_vma highpc);
+static histogram *find_histogram_for_pc (bfd_vma pc);
+
+histogram * histograms;
+unsigned num_histograms;
+double hist_scale;
+static char hist_dimension[16] = "seconds";
+static char hist_dimension_abbrev = 's';
+
+static double accum_time; /* Accumulated time so far for print_line(). */
+static double total_time; /* Total time for all routines. */
+
+/* Table of SI prefixes for powers of 10 (used to automatically
+ scale some of the values in the flat profile). */
+const struct
+ {
+ char prefix;
+ double scale;
+ }
+SItab[] =
+{
+ { 'T', 1e-12 }, /* tera */
+ { 'G', 1e-09 }, /* giga */
+ { 'M', 1e-06 }, /* mega */
+ { 'K', 1e-03 }, /* kilo */
+ { ' ', 1e-00 },
+ { 'm', 1e+03 }, /* milli */
+ { 'u', 1e+06 }, /* micro */
+ { 'n', 1e+09 }, /* nano */
+ { 'p', 1e+12 }, /* pico */
+ { 'f', 1e+15 }, /* femto */
+ { 'a', 1e+18 } /* ato */
+};
+
+/* Reads just the header part of histogram record into
+ *RECORD from IFP. FILENAME is the name of IFP and
+ is provided for formatting error messages only.
+
+ If FIRST is non-zero, sets global variables HZ, HIST_DIMENSION,
+ HIST_DIMENSION_ABBREV, HIST_SCALE. If FIRST is zero, checks
+ that the new histogram is compatible with already-set values
+ of those variables and emits an error if that's not so. */
+static void
+read_histogram_header (histogram *record,
+ FILE *ifp, const char *filename,
+ int first)
+{
+ unsigned int profrate;
+ char n_hist_dimension[15];
+ char n_hist_dimension_abbrev;
+ double n_hist_scale;
+
+ if (gmon_io_read_vma (ifp, &record->lowpc)
+ || gmon_io_read_vma (ifp, &record->highpc)
+ || gmon_io_read_32 (ifp, &record->num_bins)
+ || gmon_io_read_32 (ifp, &profrate)
+ || gmon_io_read (ifp, n_hist_dimension, 15)
+ || gmon_io_read (ifp, &n_hist_dimension_abbrev, 1))
+ {
+ fprintf (stderr, _("%s: %s: unexpected end of file\n"),
+ whoami, filename);
+
+ done (1);
+ }
+
+ n_hist_scale = (double)((record->highpc - record->lowpc) / sizeof (UNIT))
+ / record->num_bins;
+
+ if (first)
+ {
+ /* We don't try to veryfy profrate is the same for all histogram
+ records. If we have two histogram records for the same
+ address range and profiling samples is done as often
+ as possible as opposed on timer, then the actual profrate will
+ be slightly different. Most of the time the difference does not
+ matter and insisting that profiling rate is exactly the same
+ will only create inconvenient. */
+ hz = profrate;
+ memcpy (hist_dimension, n_hist_dimension, 15);
+ hist_dimension_abbrev = n_hist_dimension_abbrev;
+ hist_scale = n_hist_scale;
+ }
+ else
+ {
+ if (strncmp (n_hist_dimension, hist_dimension, 15) != 0)
+ {
+ fprintf (stderr,
+ _("%s: dimension unit changed between histogram records\n"
+ "%s: from '%s'\n"
+ "%s: to '%s'\n"),
+ whoami, whoami, hist_dimension, whoami, n_hist_dimension);
+ done (1);
+ }
+
+ if (n_hist_dimension_abbrev != hist_dimension_abbrev)
+ {
+ fprintf (stderr,
+ _("%s: dimension abbreviation changed between histogram records\n"
+ "%s: from '%c'\n"
+ "%s: to '%c'\n"),
+ whoami, whoami, hist_dimension_abbrev, whoami, n_hist_dimension_abbrev);
+ done (1);
+ }
+
+ /* The only reason we require the same scale for histograms is that
+ there's code (notably printing code), that prints units,
+ and it would be very confusing to have one unit mean different
+ things for different functions. */
+ if (fabs (hist_scale - n_hist_scale) > 0.000001)
+ {
+ fprintf (stderr,
+ _("%s: different scales in histogram records"),
+ whoami);
+ done (1);
+ }
+ }
+}
+
+/* Read the histogram from file IFP. FILENAME is the name of IFP and
+ is provided for formatting error messages only. */
+
+void
+hist_read_rec (FILE * ifp, const char *filename)
+{
+ bfd_vma lowpc, highpc;
+ histogram n_record;
+ histogram *record, *existing_record;
+ unsigned i;
+
+ /* 1. Read the header and see if there's existing record for the
+ same address range and that there are no overlapping records. */
+ read_histogram_header (&n_record, ifp, filename, num_histograms == 0);
+
+ existing_record = find_histogram (n_record.lowpc, n_record.highpc);
+ if (existing_record)
+ {
+ record = existing_record;
+ }
+ else
+ {
+ /* If this record overlaps, but does not completely match an existing
+ record, it's an error. */
+ lowpc = n_record.lowpc;
+ highpc = n_record.highpc;
+ hist_clip_symbol_address (&lowpc, &highpc);
+ if (lowpc != highpc)
+ {
+ fprintf (stderr,
+ _("%s: overlapping histogram records\n"),
+ whoami);
+ done (1);
+ }
+
+ /* This is new record. Add it to global array and allocate space for
+ the samples. */
+ histograms = (struct histogram *)
+ xrealloc (histograms, sizeof (histogram) * (num_histograms + 1));
+ memcpy (histograms + num_histograms,
+ &n_record, sizeof (histogram));
+ record = &histograms[num_histograms];
+ ++num_histograms;
+
+ record->sample = (int *) xmalloc (record->num_bins
+ * sizeof (record->sample[0]));
+ memset (record->sample, 0, record->num_bins * sizeof (record->sample[0]));
+ }
+
+ /* 2. We have either a new record (with zeroed histogram data), or an existing
+ record with some data in the histogram already. Read new data into the
+ record, adding hit counts. */
+
+ DBG (SAMPLEDEBUG,
+ printf ("[hist_read_rec] n_lowpc 0x%lx n_highpc 0x%lx ncnt %u\n",
+ (unsigned long) record->lowpc, (unsigned long) record->highpc,
+ record->num_bins));
+
+ for (i = 0; i < record->num_bins; ++i)
+ {
+ UNIT count;
+ if (fread (&count[0], sizeof (count), 1, ifp) != 1)
+ {
+ fprintf (stderr,
+ _("%s: %s: unexpected EOF after reading %u of %u samples\n"),
+ whoami, filename, i, record->num_bins);
+ done (1);
+ }
+ record->sample[i] += bfd_get_16 (core_bfd, (bfd_byte *) & count[0]);
+ DBG (SAMPLEDEBUG,
+ printf ("[hist_read_rec] 0x%lx: %u\n",
+ (unsigned long) (record->lowpc
+ + i * (record->highpc - record->lowpc)
+ / record->num_bins),
+ record->sample[i]));
+ }
+}
+
+
+/* Write all execution histograms file OFP. FILENAME is the name
+ of OFP and is provided for formatting error-messages only. */
+
+void
+hist_write_hist (FILE * ofp, const char *filename)
+{
+ UNIT count;
+ unsigned int i, r;
+
+ for (r = 0; r < num_histograms; ++r)
+ {
+ histogram *record = &histograms[r];
+
+ /* Write header. */
+
+ if (gmon_io_write_8 (ofp, GMON_TAG_TIME_HIST)
+ || gmon_io_write_vma (ofp, record->lowpc)
+ || gmon_io_write_vma (ofp, record->highpc)
+ || gmon_io_write_32 (ofp, record->num_bins)
+ || gmon_io_write_32 (ofp, hz)
+ || gmon_io_write (ofp, hist_dimension, 15)
+ || gmon_io_write (ofp, &hist_dimension_abbrev, 1))
+ {
+ perror (filename);
+ done (1);
+ }
+
+ for (i = 0; i < record->num_bins; ++i)
+ {
+ bfd_put_16 (core_bfd, (bfd_vma) record->sample[i], (bfd_byte *) &count[0]);
+
+ if (fwrite (&count[0], sizeof (count), 1, ofp) != 1)
+ {
+ perror (filename);
+ done (1);
+ }
+ }
+ }
+}
+
+/* Calculate scaled entry point addresses (to save time in
+ hist_assign_samples), and, on architectures that have procedure
+ entry masks at the start of a function, possibly push the scaled
+ entry points over the procedure entry mask, if it turns out that
+ the entry point is in one bin and the code for a routine is in the
+ next bin. */
+
+static void
+scale_and_align_entries ()
+{
+ Sym *sym;
+ bfd_vma bin_of_entry;
+ bfd_vma bin_of_code;
+
+ for (sym = symtab.base; sym < symtab.limit; sym++)
+ {
+ histogram *r = find_histogram_for_pc (sym->addr);
+
+ sym->hist.scaled_addr = sym->addr / sizeof (UNIT);
+
+ if (r)
+ {
+ bin_of_entry = (sym->hist.scaled_addr - r->lowpc) / hist_scale;
+ bin_of_code = ((sym->hist.scaled_addr + UNITS_TO_CODE - r->lowpc)
+ / hist_scale);
+ if (bin_of_entry < bin_of_code)
+ {
+ DBG (SAMPLEDEBUG,
+ printf ("[scale_and_align_entries] pushing 0x%lx to 0x%lx\n",
+ (unsigned long) sym->hist.scaled_addr,
+ (unsigned long) (sym->hist.scaled_addr
+ + UNITS_TO_CODE)));
+ sym->hist.scaled_addr += UNITS_TO_CODE;
+ }
+ }
+ }
+}
+
+
+/* Assign samples to the symbol to which they belong.
+
+ Histogram bin I covers some address range [BIN_LOWPC,BIN_HIGH_PC)
+ which may overlap one more symbol address ranges. If a symbol
+ overlaps with the bin's address range by O percent, then O percent
+ of the bin's count is credited to that symbol.
+
+ There are three cases as to where BIN_LOW_PC and BIN_HIGH_PC can be
+ with respect to the symbol's address range [SYM_LOW_PC,
+ SYM_HIGH_PC) as shown in the following diagram. OVERLAP computes
+ the distance (in UNITs) between the arrows, the fraction of the
+ sample that is to be credited to the symbol which starts at
+ SYM_LOW_PC.
+
+ sym_low_pc sym_high_pc
+ | |
+ v v
+
+ +-----------------------------------------------+
+ | |
+ | ->| |<- ->| |<- ->| |<- |
+ | | | | | |
+ +---------+ +---------+ +---------+
+
+ ^ ^ ^ ^ ^ ^
+ | | | | | |
+ bin_low_pc bin_high_pc bin_low_pc bin_high_pc bin_low_pc bin_high_pc
+
+ For the VAX we assert that samples will never fall in the first two
+ bytes of any routine, since that is the entry mask, thus we call
+ scale_and_align_entries() to adjust the entry points if the entry
+ mask falls in one bin but the code for the routine doesn't start
+ until the next bin. In conjunction with the alignment of routine
+ addresses, this should allow us to have only one sample for every
+ four bytes of text space and never have any overlap (the two end
+ cases, above). */
+
+static void
+hist_assign_samples_1 (histogram *r)
+{
+ bfd_vma bin_low_pc, bin_high_pc;
+ bfd_vma sym_low_pc, sym_high_pc;
+ bfd_vma overlap, addr;
+ unsigned int bin_count;
+ unsigned int i, j, k;
+ double count_time, credit;
+
+ bfd_vma lowpc = r->lowpc / sizeof (UNIT);
+
+ /* Iterate over all sample bins. */
+ for (i = 0, k = 1; i < r->num_bins; ++i)
+ {
+ bin_count = r->sample[i];
+ if (! bin_count)
+ continue;
+
+ bin_low_pc = lowpc + (bfd_vma) (hist_scale * i);
+ bin_high_pc = lowpc + (bfd_vma) (hist_scale * (i + 1));
+ count_time = bin_count;
+
+ DBG (SAMPLEDEBUG,
+ printf (
+ "[assign_samples] bin_low_pc=0x%lx, bin_high_pc=0x%lx, bin_count=%u\n",
+ (unsigned long) (sizeof (UNIT) * bin_low_pc),
+ (unsigned long) (sizeof (UNIT) * bin_high_pc),
+ bin_count));
+ total_time += count_time;
+
+ /* Credit all symbols that are covered by bin I.
+
+ PR gprof/13325: Make sure that K does not get decremented
+ and J will never be less than 0. */
+ for (j = k - 1; j < symtab.len; k = ++j)
+ {
+ sym_low_pc = symtab.base[j].hist.scaled_addr;
+ sym_high_pc = symtab.base[j + 1].hist.scaled_addr;
+
+ /* If high end of bin is below entry address,
+ go for next bin. */
+ if (bin_high_pc < sym_low_pc)
+ break;
+
+ /* If low end of bin is above high end of symbol,
+ go for next symbol. */
+ if (bin_low_pc >= sym_high_pc)
+ continue;
+
+ overlap =
+ MIN (bin_high_pc, sym_high_pc) - MAX (bin_low_pc, sym_low_pc);
+ if (overlap > 0)
+ {
+ DBG (SAMPLEDEBUG,
+ printf (
+ "[assign_samples] [0x%lx,0x%lx) %s gets %f ticks %ld overlap\n",
+ (unsigned long) symtab.base[j].addr,
+ (unsigned long) (sizeof (UNIT) * sym_high_pc),
+ symtab.base[j].name, overlap * count_time / hist_scale,
+ (long) overlap));
+
+ addr = symtab.base[j].addr;
+ credit = overlap * count_time / hist_scale;
+
+ /* Credit symbol if it appears in INCL_FLAT or that
+ table is empty and it does not appear it in
+ EXCL_FLAT. */
+ if (sym_lookup (&syms[INCL_FLAT], addr)
+ || (syms[INCL_FLAT].len == 0
+ && !sym_lookup (&syms[EXCL_FLAT], addr)))
+ {
+ symtab.base[j].hist.time += credit;
+ }
+ else
+ {
+ total_time -= credit;
+ }
+ }
+ }
+ }
+
+ DBG (SAMPLEDEBUG, printf ("[assign_samples] total_time %f\n",
+ total_time));
+}
+
+/* Calls 'hist_assign_sampes_1' for all histogram records read so far. */
+void
+hist_assign_samples ()
+{
+ unsigned i;
+
+ scale_and_align_entries ();
+
+ for (i = 0; i < num_histograms; ++i)
+ hist_assign_samples_1 (&histograms[i]);
+
+}
+
+/* Print header for flag histogram profile. */
+
+static void
+print_header (int prefix)
+{
+ char unit[64];
+
+ sprintf (unit, _("%c%c/call"), prefix, hist_dimension_abbrev);
+
+ if (bsd_style_output)
+ {
+ printf (_("\ngranularity: each sample hit covers %ld byte(s)"),
+ (long) hist_scale * (long) sizeof (UNIT));
+ if (total_time > 0.0)
+ {
+ printf (_(" for %.2f%% of %.2f %s\n\n"),
+ 100.0 / total_time, total_time / hz, hist_dimension);
+ }
+ }
+ else
+ {
+ printf (_("\nEach sample counts as %g %s.\n"), 1.0 / hz, hist_dimension);
+ }
+
+ if (total_time <= 0.0)
+ {
+ printf (_(" no time accumulated\n\n"));
+
+ /* This doesn't hurt since all the numerators will be zero. */
+ total_time = 1.0;
+ }
+
+ printf ("%5.5s %10.10s %8.8s %8.8s %8.8s %8.8s %-8.8s\n",
+ "% ", _("cumulative"), _("self "), "", _("self "), _("total "),
+ "");
+ printf ("%5.5s %9.9s %8.8s %8.8s %8.8s %8.8s %-8.8s\n",
+ _("time"), hist_dimension, hist_dimension, _("calls"), unit, unit,
+ _("name"));
+}
+
+
+static void
+print_line (Sym *sym, double scale)
+{
+ if (ignore_zeros && sym->ncalls == 0 && sym->hist.time == 0)
+ return;
+
+ accum_time += sym->hist.time;
+
+ if (bsd_style_output)
+ printf ("%5.1f %10.2f %8.2f",
+ total_time > 0.0 ? 100 * sym->hist.time / total_time : 0.0,
+ accum_time / hz, sym->hist.time / hz);
+ else
+ printf ("%6.2f %9.2f %8.2f",
+ total_time > 0.0 ? 100 * sym->hist.time / total_time : 0.0,
+ accum_time / hz, sym->hist.time / hz);
+
+ if (sym->ncalls != 0)
+ printf (" %8lu %8.2f %8.2f ",
+ sym->ncalls, scale * sym->hist.time / hz / sym->ncalls,
+ scale * (sym->hist.time + sym->cg.child_time) / hz / sym->ncalls);
+ else
+ printf (" %8.8s %8.8s %8.8s ", "", "", "");
+
+ if (bsd_style_output)
+ print_name (sym);
+ else
+ print_name_only (sym);
+
+ printf ("\n");
+}
+
+
+/* Compare LP and RP. The primary comparison key is execution time,
+ the secondary is number of invocation, and the tertiary is the
+ lexicographic order of the function names. */
+
+static int
+cmp_time (const PTR lp, const PTR rp)
+{
+ const Sym *left = *(const Sym **) lp;
+ const Sym *right = *(const Sym **) rp;
+ double time_diff;
+
+ time_diff = right->hist.time - left->hist.time;
+
+ if (time_diff > 0.0)
+ return 1;
+
+ if (time_diff < 0.0)
+ return -1;
+
+ if (right->ncalls > left->ncalls)
+ return 1;
+
+ if (right->ncalls < left->ncalls)
+ return -1;
+
+ return strcmp (left->name, right->name);
+}
+
+
+/* Print the flat histogram profile. */
+
+void
+hist_print ()
+{
+ Sym **time_sorted_syms, *top_dog, *sym;
+ unsigned int sym_index;
+ unsigned log_scale;
+ double top_time;
+ bfd_vma addr;
+
+ if (first_output)
+ first_output = FALSE;
+ else
+ printf ("\f\n");
+
+ accum_time = 0.0;
+
+ if (bsd_style_output)
+ {
+ if (print_descriptions)
+ {
+ printf (_("\n\n\nflat profile:\n"));
+ flat_blurb (stdout);
+ }
+ }
+ else
+ {
+ printf (_("Flat profile:\n"));
+ }
+
+ /* Sort the symbol table by time (call-count and name as secondary
+ and tertiary keys). */
+ time_sorted_syms = (Sym **) xmalloc (symtab.len * sizeof (Sym *));
+
+ for (sym_index = 0; sym_index < symtab.len; ++sym_index)
+ time_sorted_syms[sym_index] = &symtab.base[sym_index];
+
+ qsort (time_sorted_syms, symtab.len, sizeof (Sym *), cmp_time);
+
+ if (bsd_style_output)
+ {
+ log_scale = 5; /* Milli-seconds is BSD-default. */
+ }
+ else
+ {
+ /* Search for symbol with highest per-call
+ execution time and scale accordingly. */
+ log_scale = 0;
+ top_dog = 0;
+ top_time = 0.0;
+
+ for (sym_index = 0; sym_index < symtab.len; ++sym_index)
+ {
+ sym = time_sorted_syms[sym_index];
+
+ if (sym->ncalls != 0)
+ {
+ double call_time;
+
+ call_time = (sym->hist.time + sym->cg.child_time) / sym->ncalls;
+
+ if (call_time > top_time)
+ {
+ top_dog = sym;
+ top_time = call_time;
+ }
+ }
+ }
+
+ if (top_dog && top_dog->ncalls != 0 && top_time > 0.0)
+ {
+ top_time /= hz;
+
+ for (log_scale = 0; log_scale < ARRAY_SIZE (SItab); log_scale ++)
+ {
+ double scaled_value = SItab[log_scale].scale * top_time;
+
+ if (scaled_value >= 1.0 && scaled_value < 1000.0)
+ break;
+ }
+ }
+ }
+
+ /* For now, the dimension is always seconds. In the future, we
+ may also want to support other (pseudo-)dimensions (such as
+ I-cache misses etc.). */
+ print_header (SItab[log_scale].prefix);
+
+ for (sym_index = 0; sym_index < symtab.len; ++sym_index)
+ {
+ addr = time_sorted_syms[sym_index]->addr;
+
+ /* Print symbol if its in INCL_FLAT table or that table
+ is empty and the symbol is not in EXCL_FLAT. */
+ if (sym_lookup (&syms[INCL_FLAT], addr)
+ || (syms[INCL_FLAT].len == 0
+ && !sym_lookup (&syms[EXCL_FLAT], addr)))
+ print_line (time_sorted_syms[sym_index], SItab[log_scale].scale);
+ }
+
+ free (time_sorted_syms);
+
+ if (print_descriptions && !bsd_style_output)
+ flat_blurb (stdout);
+}
+
+int
+hist_check_address (unsigned address)
+{
+ unsigned i;
+
+ for (i = 0; i < num_histograms; ++i)
+ if (histograms[i].lowpc <= address && address < histograms[i].highpc)
+ return 1;
+
+ return 0;
+}
+
+#if ! defined(min)
+#define min(a,b) (((a)<(b)) ? (a) : (b))
+#endif
+#if ! defined(max)
+#define max(a,b) (((a)>(b)) ? (a) : (b))
+#endif
+
+void
+hist_clip_symbol_address (bfd_vma *p_lowpc, bfd_vma *p_highpc)
+{
+ unsigned i;
+ int found = 0;
+
+ if (num_histograms == 0)
+ {
+ *p_highpc = *p_lowpc;
+ return;
+ }
+
+ for (i = 0; i < num_histograms; ++i)
+ {
+ bfd_vma common_low, common_high;
+ common_low = max (histograms[i].lowpc, *p_lowpc);
+ common_high = min (histograms[i].highpc, *p_highpc);
+
+ if (common_low < common_high)
+ {
+ if (found)
+ {
+ fprintf (stderr,
+ _("%s: found a symbol that covers "
+ "several histogram records"),
+ whoami);
+ done (1);
+ }
+
+ found = 1;
+ *p_lowpc = common_low;
+ *p_highpc = common_high;
+ }
+ }
+
+ if (!found)
+ *p_highpc = *p_lowpc;
+}
+
+/* Find and return exising histogram record having the same lowpc and
+ highpc as passed via the parameters. Return NULL if nothing is found.
+ The return value is valid until any new histogram is read. */
+static histogram *
+find_histogram (bfd_vma lowpc, bfd_vma highpc)
+{
+ unsigned i;
+ for (i = 0; i < num_histograms; ++i)
+ {
+ if (histograms[i].lowpc == lowpc && histograms[i].highpc == highpc)
+ return &histograms[i];
+ }
+ return 0;
+}
+
+/* Given a PC, return histogram record which address range include this PC.
+ Return NULL if there's no such record. */
+static histogram *
+find_histogram_for_pc (bfd_vma pc)
+{
+ unsigned i;
+ for (i = 0; i < num_histograms; ++i)
+ {
+ if (histograms[i].lowpc <= pc && pc < histograms[i].highpc)
+ return &histograms[i];
+ }
+ return 0;
+}