From: Sam Moore Date: Wed, 3 Oct 2012 09:07:06 +0000 (+0800) Subject: Parallel Programming - Final version X-Git-Url: https://git.ucc.asn.au/?a=commitdiff_plain;h=f2970e1b67ccd1adff8cd04a176efdc9682adf06;p=matches%2Fhonours.git Parallel Programming - Final version Finished at 4am on Monday (naturally forgot to commit then) --- diff --git a/course/semester2/pprog/assignment1/assignment1.zip b/course/semester2/pprog/assignment1/assignment1.zip new file mode 100644 index 00000000..5dbb59ad Binary files /dev/null and b/course/semester2/pprog/assignment1/assignment1.zip differ diff --git a/course/semester2/pprog/assignment1/get_data.py b/course/semester2/pprog/assignment1/get_data.py index 359c4181..b7535906 100755 --- a/course/semester2/pprog/assignment1/get_data.py +++ b/course/semester2/pprog/assignment1/get_data.py @@ -1,23 +1,28 @@ #!/usr/bin/python -u # @file get_data.py -# @purpose Extract statistics from repeated runs of N-Body simulators +# @purpose Extract statistics from repeated runs of N-Body simulators and graph them # @author Sam Moore (20503628) - 2012 +# Not documented very well, because it's not part of the task requirements +# Mostly to get a different graph I just comment out a lot of lines and uncomment others. Well designed. import sys import os import subprocess +import odict import Gnuplot, Gnuplot.funcutils plot = Gnuplot.Gnuplot(persist=0) -programs = { - "single-thread" : "./single-thread/nbody -v 5" -} -for n in range(2, 20, 4): - programs.update({"mthread"+str(n) : "./mthread/nbody -v 5 -n "+str(n)}) - #programs.update({"slow-mthread"+str(n) : "./mthread/nbody-slow -v 5 -n "+str(n)}) - programs.update({"openmp"+str(n) : "./openmp/nbody -v 5 -n " +str(n)}) +programs = odict.odict([("single-thread" , "./single-thread/nbody -g")]) + +for n in range(4, 5, 1): + programs.update({"mthread"+str(n) : "./mthread/nbody -g -n "+str(n)}) + programs.update({"openmp"+str(n) : "./openmp/nbody -g -n " +str(n)}) + for theta in [0.1, 1.0, 10.0]: + programs.update({"nbody-bh"+str(n)+":theta"+str(theta) : "./nbody-bh/nbody -g -n "+str(n)+" --theta " + str(theta)}) + + @@ -31,8 +36,8 @@ def RunProgram(string): def RunForSteps(program, field, steps): results = [] - print(str(program) + " -s "+str(steps) + " " + str(field)) - results = RunProgram(str(program) + " -s "+str(steps) + " " + str(field)) + print(str(program) + " -s "+str(steps) + " -v 5 " + str(field)) + results = RunProgram(str(program) + " -s "+str(steps) + " -v 5 " + str(field)) return results def VaryField(program, steps, fields): @@ -55,6 +60,9 @@ def main(argv): data = {} data.update(programs) + Plot_PerformanceN(data, 10, 1, 3000, 100) + + """ fields = map(int, os.listdir("fields")) fields.sort(key = lambda e : e) @@ -63,6 +71,7 @@ def main(argv): if n in ignore: continue for p in data.keys(): + #Plot_MeanErrors(programs["single-thread"], programs[p], "fields/"+str(n), 0, 100) data[p] = RunForSteps(programs[p], "fields/"+str(n), 200) #print(str(data[p])) @@ -76,9 +85,73 @@ def main(argv): #for p in sorted(data.items(), key = lambda e : e[1][0][len(e[1][0])-1][1]): # print(str(p[0])+":"+str(n)+"\t"+str(p[1][0][len(p[1][0])-1][1])) - + """ sys.stdin.readline() return 0 +def Plot_MeanErrors(control, program, field, sMin, sMax): + plot("set xlabel \"steps\"") + plot("set ylabel \"Error\"") + plot("set title \"Mean Position Error .vs. Steps\\n(Mean Error = Mean absolute error of all position components)\\nField: "+str(field)+"\"") + plot("set key outside right") + plot("set log y") + if (control == program): + return + d = [] + for s in range(sMin, sMax, (sMax - sMin) / 20): + d.append([s, MeanError(control, program, field, s)]) + + plot.replot(Gnuplot.Data(d, title=str(program), with_="lp")) #linecolor "+str(fields.index(n)))) + +def Plot_PerformanceN(d, steps, nMin, nMax, nStep): + + plot("set xlabel \"N bodies\"") + plot("set ylabel \"Real Time (s)\"") + plot("set title \"Time taken to simulate N randomly generated bodies for 1000 steps\"") + plot("set key outside right") + for p in d.items(): + data = [] + for n in range(nMin, nMax, nStep): + print("Run for " + str(n) + " bodies; " + str(p[1])) + r = RunProgram(str(p[1]) + " -r " + str(n) + " -s " + str(steps)) + data.append([n, r[len(r)-1][1]]) + plot.replot(Gnuplot.Data(data, title=str(p[0]), with_="lp")) + +def MeanError(programA, programB, field, steps): + print("Calculate error for "+str(steps) + " steps: " + str(programB) + " .vs. " + str(programA)) + RunProgram(str(programA) + " -s "+str(steps) + " " + str(field) + " " + "A.tmp") + RunProgram(str(programB) + " -s "+str(steps) + " " + str(field) + " " + "B.tmp") + + A = open("A.tmp", "r", 0) + B = open("B.tmp", "r", 0) + + nA = int(A.readline().strip("\r\n\t ")) + nB = int(B.readline().strip("\r\n\t ")) + if (nA != nB): + sys.stderr.write("Body number error; A: " + str(nA) + " vs B: " + str(nB) + "\n") + sys.exit(1) + + total_error = 0.0 + values = 0 + for i in range(0, nA): + dataA = A.readline().strip("\r\n\t ").split(" ") + dataB = B.readline().strip("\r\n\t ").split(" ") + #print("A: "+str(dataA)) + #print("B: "+str(dataB)) + dataA = map(float, dataA)[1:4] # Only count positions + dataB = map(float, dataB)[1:4] + #print("Length " + str(len(dataA))) + if (len(dataB) != len(dataA)): + sys.stderr.write("Number of values in line are different\n") + sys.exit(1) + + + + values += len(dataA) + for j in range(0, len(dataA)-1): + total_error += abs(dataB[j] - dataA[j]) + os.system("rm A.tmp; rm B.tmp;") + return total_error / values + if __name__ == "__main__": sys.exit(main(sys.argv)) diff --git a/course/semester2/pprog/assignment1/mthread/graphics.o b/course/semester2/pprog/assignment1/mthread/graphics.o new file mode 100644 index 00000000..fde8babc Binary files /dev/null and b/course/semester2/pprog/assignment1/mthread/graphics.o differ diff --git a/course/semester2/pprog/assignment1/mthread/main.o b/course/semester2/pprog/assignment1/mthread/main.o new file mode 100644 index 00000000..c9507751 Binary files /dev/null and b/course/semester2/pprog/assignment1/mthread/main.o differ diff --git a/course/semester2/pprog/assignment1/mthread/nbody b/course/semester2/pprog/assignment1/mthread/nbody new file mode 100755 index 00000000..b5b5ec26 Binary files 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0.806976 -4.063692 0.001422 12235.904034 8294.336357 -314.387550 +10000000.000000 43.962087 19.326739 0.703785 0.385875 -0.737960 0.000567 -26705.718850 -12538.736952 -711.105269 diff --git a/course/semester2/pprog/assignment1/nbody-bh/Makefile b/course/semester2/pprog/assignment1/nbody-bh/Makefile new file mode 100644 index 00000000..1bca5a9e --- /dev/null +++ b/course/semester2/pprog/assignment1/nbody-bh/Makefile @@ -0,0 +1,27 @@ +# Makefile for nbody program +# Compiles on Ubuntu 12.04 and Debian 6.0.4 +# NOTE: This file is identical for both the single-threaded and multi-threaded versions of the program +CXX = gcc +LIBRARIES = -lm -lGL -lglut -lGLU -lpthread +FLAGS = --std=c99 -Wall -pedantic -g +PREPROCESSOR_FLAGS = -fopenmp +SINGLE_THREAD_OBJ = main.o nbody.o graphics.o +LINK_OBJ = main.o nbody.o graphics.o tree.o + +BIN = nbody + +$(BIN) : $(LINK_OBJ) + $(CXX) -o $(BIN) $(LINK_OBJ) $(PREPROCESSOR_FLAGS) $(LIBRARIES) + +nbody : + +%.o : %.c + $(CXX) $(FLAGS) $(PREPROCESSOR_FLAGS) -c $< + +clean : + $(RM) $(BIN) $(OBJ) $(LINK_OBJ) + +clean_full: #cleans up all backup files + $(RM) $(BIN) $(OBJ) $(LINK_OBJ) + $(RM) *.*~ + $(RM) *~ diff --git a/course/semester2/pprog/assignment1/nbody-bh/callgrind.out.4853 b/course/semester2/pprog/assignment1/nbody-bh/callgrind.out.4853 new file mode 100644 index 00000000..33f8806f --- /dev/null +++ b/course/semester2/pprog/assignment1/nbody-bh/callgrind.out.4853 @@ -0,0 +1,13986 @@ +version: 1 +creator: callgrind-3.7.0 +pid: 4853 +cmd: ./nbody ../fields/500 -s 10 -g +part: 1 + + +desc: I1 cache: +desc: D1 cache: +desc: LL cache: + +desc: Timerange: Basic block 0 - 166736221 +desc: Trigger: Program termination + +positions: line +events: Ir +summary: 1305015743 + + +ob=(4) /lib/x86_64-linux-gnu/libm-2.15.so +fl=(57) /build/buildd/eglibc-2.15/math/../sysdeps/x86_64/fpu/multiarch/e_asin.c +fn=(224) __asin_finite +14 2 +cob=(3) /lib/x86_64-linux-gnu/libc-2.15.so +cfi=(42) /build/buildd/eglibc-2.15/csu/../sysdeps/x86_64/multiarch/init-arch.c +cfn=(204) __get_cpu_features +calls=1 170 +* 5 +* 5 + +fn=(218) __acos_finite +10 2 +cob=(3) +cfi=(42) +cfn=(204) +calls=1 170 +* 5 +* 5 + +fl=(51) /build/buildd/eglibc-2.15/math/../sysdeps/x86_64/fpu/multiarch/s_sin.c +fn=(206) cos +20 2 +cob=(3) +cfi=(42) +cfn=(204) +calls=1 170 +* 5 +* 7 + +fn=(230) sin +23 1 +-23 1 +fi=(55) ??? +cob=(3) +cfi=(42) +cfn=(204) +calls=1 170 +0 5 +0 7 + +fl=(56) /build/buildd/eglibc-2.15/math/../sysdeps/x86_64/fpu/multiarch/s_rintf.S +fn=(216) rintf +26 1 +cob=(3) +cfi=(42) +cfn=(204) +calls=1 170 +* 5 ++1 1 ++1 1 ++1 1 ++1 1 ++2 1 + +fl=(59) /build/buildd/eglibc-2.15/math/../sysdeps/x86_64/fpu/multiarch/s_floor.S +fn=(222) floor +26 1 +cob=(3) +cfi=(42) +cfn=(204) +calls=1 170 +* 5 ++1 1 ++1 1 ++1 1 ++1 1 ++2 1 + +fl=(48) /build/buildd/eglibc-2.15/math/../sysdeps/x86_64/fpu/multiarch/e_exp.c +fn=(190) __exp_finite +15 2 +cob=(3) +cfi=(42) +cfn=(204) +calls=1 170 +* 5 +cob=(1) /lib/x86_64-linux-gnu/ld-2.15.so +cfi=(49) /build/buildd/eglibc-2.15/elf/../sysdeps/x86_64/dl-trampoline.S +cfn=(198) _dl_runtime_resolve +calls=1 +16 +* 1888 +* 7 + +fl=(60) /build/buildd/eglibc-2.15/math/../sysdeps/x86_64/fpu/multiarch/e_atan2.c +fn=(226) __atan2_finite +15 1 +-15 1 +fi=(55) +cob=(3) +cfi=(42) +cfn=(204) +calls=1 170 +0 5 +0 7 + +fl=(54) /build/buildd/eglibc-2.15/math/../sysdeps/x86_64/fpu/multiarch/e_log.c +fn=(212) __log_finite +15 1 +-15 1 +fi=(55) +cob=(3) +cfi=(42) +cfn=(204) +calls=1 170 +0 5 +0 7 + +fl=(53) /build/buildd/eglibc-2.15/math/../sysdeps/x86_64/fpu/multiarch/e_pow.c +fn=(210) __pow_finite +8 2 +cob=(3) +cfi=(42) +cfn=(204) +calls=1 170 +* 5 +* 5 + +fl=(55) +fn=(2004) 0x0000000000005890 +0 10 +cob=(3) +cfi=(196) /build/buildd/eglibc-2.15/stdlib/cxa_finalize.c +cfn=(1736) __cxa_finalize +calls=1 31 +0 86 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1895 +0 13 + +fn=(468) 0x0000000000005910 +0 6 + +ob=(9) /usr/lib/x86_64-linux-gnu/libxcb.so.1.1.0 +fl=(86) ??? +fn=(2080) 0x0000000000009370 +0 8 + +ob=(4) +fl=(55) +fn=(462) 0x000000000000586c +0 6 + +fn=(474) 0x000000000006be10 +0 11 + +fl=(52) /build/buildd/eglibc-2.15/math/../sysdeps/x86_64/fpu/multiarch/s_rint.S +fn=(208) rint +26 1 +cob=(3) +cfi=(42) +cfn=(204) +calls=1 170 +* 5 ++1 1 ++1 1 ++1 1 ++1 1 ++2 1 + +fl=(58) /build/buildd/eglibc-2.15/math/../sysdeps/x86_64/fpu/multiarch/s_floorf.S +fn=(220) floorf +26 1 +cob=(3) +cfi=(42) +cfn=(204) +calls=1 170 +* 5 ++1 1 ++1 1 ++1 1 ++1 1 + +ob=(9) +fl=(86) +fn=(2080) +0 2 +cob=(3) +cfi=(196) +cfn=(1736) +calls=1 31 +0 86 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1895 +0 13 + +fn=(408) 0x00000000000093f0 +0 6 + +fn=(402) 0x0000000000009350 +0 6 + +fn=(414) 0x0000000000015690 +0 11 + +ob=(4) +fl=(58) +fn=(220) +32 1 + +ob=(2) ??? +fl=(14) ??? +fn=(440) 0x000000000660d5f8 +0 2 +cob=(11) /lib/x86_64-linux-gnu/libgcc_s.so.1 +cfi=(88) ??? +cfn=(442) 0x0000000000002944 +calls=1 0 +0 6 +0 1 +cob=(11) +cfi=(88) +cfn=(448) 0x00000000000029e0 +calls=1 0 +0 6 +0 1 +cob=(11) +cfi=(88) +cfn=(454) 0x0000000000012160 +calls=1 0 +0 11 +0 2 + +fn=(694) 0x00000000055e1200 +0 2 +cob=(15) /usr/lib/x86_64-linux-gnu/libgomp.so.1.0.0 +cfi=(93) ??? +cfn=(696) 0x0000000000004100 +calls=1 0 +0 6 +0 1 +cob=(15) +cfi=(93) +cfn=(702) 0x00000000000041a0 +calls=1 0 +0 6 +0 1 +cob=(15) +cfi=(93) +cfn=(708) 0x0000000000009eb0 +calls=1 0 +0 11 +0 2 + +fn=(896) 0x0000000004fb77b0 +0 2 +cob=(3) +cfi=(90) /build/buildd/eglibc-2.15/stdlib/cxa_atexit.c +cfn=(556) __cxa_atexit +calls=1 57 +0 65 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 2047 +0 10 +cfn=(904) 0x0000000004fb7310 +calls=1 0 +0 23 +0 8 + +fn=(982) 0x0000000004f548e0 +0 2 +cob=(3) +cfi=(110) /build/buildd/eglibc-2.15/malloc/malloc.c +cfn=(986) calloc +calls=1 3233 +0 239 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1721 +0 9 +cob=(3) +cfi=(110) +cfn=(986) +calls=8 3233 +0 1785 +0 2 + +fn=(1006) 0x0000000004fb6f40 +0 28 +cfn=(1020) 0x0000000004f549c0 +calls=1 0 +0 1757 +0 5 +cfn=(966) 0x0000000004f54480 +calls=1 0 +0 133 +0 6 +cfn=(1030) 0x0000000004f54490 +calls=1 0 +0 3736 +0 2 +cfn=(1064) 0x0000000004fb68f0 +calls=1 0 +0 12527 +0 15 +cfn=(1218) 0x0000000004f54500 +calls=1 0 +0 2559 +0 2 +cfn=(1228) 0x0000000004fb6a20 +calls=1 0 +0 110760 +0 3 +cfn=(1218) +calls=1 0 +0 4 +0 17 + +fn=(1158) 0x0000000004f54740 +0 2 +cob=(3) +cfi=(138) /build/buildd/eglibc-2.15/string/../sysdeps/x86_64/multiarch/strstr.c +cfn=(1166) __strstr_sse42 +calls=1 167 +0 59 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1864 +0 6 +cob=(3) +cfi=(138) +cfn=(1166) +calls=5 167 +0 7321 +0 2 + +fn=(1786) 0x0000000004fb78a8 +0 2 +cfn=(1788) 0x0000000004f54b10 +calls=1 0 +0 13571 +0 2 + +fn=(1864) 0x0000000004f54700 +0 2 +cob=(3) +cfi=(96) /build/buildd/eglibc-2.15/nptl/forward.c +cfn=(758) pthread_self +calls=1 187 +0 9 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 2142 +0 2 +cob=(3) +cfi=(96) +cfn=(758) +calls=1 187 +0 9 +0 2 + +fn=(1914) 0x00000000055e7ee8 +0 2 +cob=(15) +cfi=(93) +cfn=(1916) 0x0000000000004120 +calls=1 0 +0 2004 +0 2 + +fn=(1972) 0x00000000063c99d8 +0 2 +cob=(12) /usr/lib/x86_64-linux-gnu/libstdc++.so.6.0.16 +cfi=(89) ??? +cfn=(1974) 0x000000000005a750 +calls=1 0 +0 3623 +0 2 + +fn=(2102) 0x0000000006c48918 +0 2 +cob=(8) /lib/x86_64-linux-gnu/libdl-2.15.so +cfi=(84) ??? +cfn=(2104) 0x0000000000000e10 +calls=1 0 +0 2004 +0 2 + +fn=(338) 0x000000000704ef90 +0 2 +cob=(6) /usr/lib/x86_64-linux-gnu/libXdmcp.so.6.0.0 +cfi=(82) ??? +cfn=(340) 0x0000000000001090 +calls=1 0 +0 6 +0 1 +cob=(6) +cfi=(82) +cfn=(346) 0x0000000000001130 +calls=1 0 +0 6 +0 1 +cob=(6) +cfi=(82) +cfn=(352) 0x0000000000002a70 +calls=1 0 +0 11 +0 2 + +fn=(400) 0x0000000006a32050 +0 2 +cob=(9) +cfi=(86) +cfn=(402) +calls=1 0 +0 6 +0 1 +cob=(9) +cfi=(86) +cfn=(408) +calls=1 0 +0 6 +0 1 +cob=(9) +cfi=(86) +cfn=(414) +calls=1 0 +0 11 +0 2 + +fn=(966) +0 2 +cob=(3) +cfi=(101) /build/buildd/eglibc-2.15/string/../sysdeps/x86_64/multiarch/../memset.S +cfn=(778) __GI_memset +calls=1 44 +0 56 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 2113 +0 3 +cob=(3) +cfi=(101) +cfn=(778) +calls=2 44 +0 264 +0 2 + +fn=(974) 0x0000000004f54aa0 +0 2 +cob=(3) +cfi=(96) +cfn=(978) pthread_mutex_unlock +calls=1 184 +0 24 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 2176 +0 2 +cob=(3) +cfi=(96) +cfn=(978) +calls=1 184 +0 24 +0 2 + +fn=(1064) +0 7 +cfn=(1066) 0x0000000004f54560 +calls=1 0 +0 3589 +0 8 +cfn=(982) +calls=1 0 +0 229 +0 7 +cfn=(1104) 0x0000000004f547b0 +calls=1 0 +0 2299 +0 114 +cfn=(1158) +calls=3 0 +0 2048 +0 8 +cfn=(1178) 0x0000000004f54610 +calls=1 0 +0 2014 +0 2 +cfn=(1186) 0x0000000004f54920 +calls=1 0 +0 2195 +0 7 + +fn=(1178) +0 2 +cob=(3) +cfi=(110) +cfn=(1060) free +calls=1 2957 +0 79 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1930 +0 13 +cob=(3) +cfi=(110) +cfn=(1060) +calls=12 2957 +0 1175 +0 2 + +fn=(1250) 0x0000000004f54a30 +0 2 +cob=(3) +cfi=(110) +cfn=(1254) realloc +calls=1 2989 +0 167 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 2064 +0 233 +cob=(3) +cfi=(110) +cfn=(1254) +calls=232 2989 +0 31320 +0 2 + +fn=(1798) 0x0000000004fb7760 +0 2 + +fn=(2002) 0x0000000004c92e48 +0 2 +cob=(4) +cfi=(55) +cfn=(2004) +calls=1 0 +0 2004 +0 2 + +fn=(2060) 0x0000000005bba3b0 +0 2 +cob=(5) /lib/x86_64-linux-gnu/libpthread-2.15.so +cfi=(69) ??? +cfn=(2062) 0x0000000000006680 +calls=1 0 +0 2004 +0 2 + +fn=(480) 0x00000000063627e0 +0 2 +cob=(12) +cfi=(89) +cfn=(482) 0x000000000005a72c +calls=1 0 +0 6 +0 1 +cob=(12) +cfi=(89) +cfn=(488) 0x000000000005a7d0 +calls=1 0 +0 6 +0 1 +cob=(12) +cfi=(89) +cfn=(494) 0x00000000000be9a0 +calls=1 0 +0 11 +0 2 + +fn=(904) +0 23 + +fn=(1382) 0x0000000005374308 +0 2 +cob=(17) /usr/lib/x86_64-linux-gnu/libGLU.so.1.3.08000 +cfi=(150) ??? +cfn=(1384) 0x0000000000004800 +calls=1 0 +0 6 +0 1 +cob=(17) +cfi=(150) +cfn=(1390) 0x00000000000048a0 +calls=1 0 +0 6 +0 1 +cob=(17) +cfi=(150) +cfn=(1396) 0x0000000000056d10 +calls=1 0 +0 11 +0 2 + +fn=(1722) 0x0000000004a25718 +0 2 +cob=(19) /usr/lib/valgrind/vgpreload_core-amd64-linux.so +cfi=(152) ??? +cfn=(1724) 0x00000000000004f0 +calls=1 0 +0 1405 +0 2 + +fn=(1808) 0x0000000004f84ca0 +0 7 +cfn=(926) 0x0000000004f54a20 +calls=1 0 +0 31 +0 3592 +cfn=(974) +calls=1 0 +0 25 +0 5 + +fn=(420) 0x0000000006822e10 +0 2 +cob=(10) /lib/x86_64-linux-gnu/librt-2.15.so +cfi=(87) ??? +cfn=(422) 0x00000000000022cc +calls=1 0 +0 6 +0 1 +cob=(10) +cfi=(87) +cfn=(428) 0x0000000000002370 +calls=1 0 +0 6 +0 1 +cob=(10) +cfi=(87) +cfn=(434) 0x0000000000005680 +calls=1 0 +0 11 +0 2 + +fn=(674) 0x0000000005dc9180 +0 2 +cob=(14) /usr/lib/x86_64-linux-gnu/libXext.so.6.4.0 +cfi=(92) ??? +cfn=(676) 0x0000000000003490 +calls=1 0 +0 6 +0 1 +cob=(14) +cfi=(92) +cfn=(682) 0x0000000000003530 +calls=1 0 +0 6 +0 1 +cob=(14) +cfi=(92) +cfn=(688) 0x000000000000d3f0 +calls=1 0 +0 11 +0 2 + +fn=(886) 0x0000000004f54b60 +0 6 + +fn=(1020) +0 2 +cob=(3) +cfi=(118) /build/buildd/eglibc-2.15/posix/../sysdeps/unix/syscall-template.S +cfn=(1024) getppid +calls=1 63 +0 3 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1749 +0 3 + +fn=(1228) +0 35 +cfn=(1066) +calls=1 0 +0 490 +0 7 +cfn=(982) +calls=1 0 +0 135 +0 258 +cfn=(1250) +calls=51 0 +0 9036 +0 306 +cfn=(1104) +calls=51 0 +0 6031 +0 4 +cfn=(1104) +calls=1 0 +0 344 +0 6705 +cfn=(1158) +calls=1 0 +0 150 +0 7 +cfn=(1278) 0x0000000004f546f0 +calls=1 0 +0 5082 +0 5 +cfn=(1178) +calls=1 0 +0 154 +0 2 +cfn=(1186) +calls=1 0 +0 488 +0 8 +cfn=(966) +calls=1 0 +0 133 +0 5 +cfn=(1030) +calls=1 0 +0 393 +0 3 +cfn=(1066) +calls=1 0 +0 524 +0 7 +cfn=(982) +calls=1 0 +0 229 +0 913 +cfn=(1250) +calls=182 0 +0 24752 +0 1092 +cfn=(1104) +calls=182 0 +0 21479 +0 4 +cfn=(1104) +calls=1 0 +0 344 +0 562 +cfn=(1158) +calls=1 0 +0 3528 +0 5 +cfn=(1158) +calls=1 0 +0 3528 +0 12 +cfn=(1178) +calls=1 0 +0 154 +0 2 +cfn=(1186) +calls=1 0 +0 488 +0 23356 + +fn=(1746) 0x000000000514ff78 +0 2 +cob=(18) /usr/lib/x86_64-linux-gnu/libglut.so.3.9.0 +cfi=(151) ??? +cfn=(1748) 0x0000000000016420 +calls=1 0 +0 2004 +0 2 + +fn=(1826) 0x0000000004fb6860 +0 3 +cfn=(1828) 0x0000000004fb6850 +calls=1 0 +0 2 +0 13 + +fn=(1932) 0x0000000005dd3428 +0 2 +cob=(14) +cfi=(92) +cfn=(1934) 0x00000000000034b0 +calls=1 0 +0 2004 +0 2 + +fn=(2122) 0x0000000006e4cae8 +0 2 +cob=(7) /usr/lib/x86_64-linux-gnu/libXau.so.6.0.0 +cfi=(83) ??? +cfn=(2124) 0x0000000000000db0 +calls=1 0 +0 2004 +0 2 + +fn=(378) 0x0000000006c47cc0 +0 2 +cob=(8) +cfi=(84) +cfn=(380) 0x0000000000000dec +calls=1 0 +0 6 +0 1 +cob=(8) +cfi=(84) +cfn=(386) 0x0000000000000e90 +calls=1 0 +0 6 +0 1 +cob=(8) +cfi=(84) +cfn=(392) 0x00000000000018e0 +calls=1 0 +0 11 +0 2 + +fn=(880) 0x0000000004f54af0 +0 6 + +fn=(892) 0x0000000004fb7870 +0 10 +cfn=(896) +calls=1 0 +0 2155 +0 1 +cfn=(922) 0x0000000004f5bec0 +calls=1 0 +0 203013 +0 12 + +fn=(1218) +0 2 +cob=(16) /usr/lib/valgrind/callgrind-amd64-linux +cfi=(142) ??? +cfn=(1222) 0x0000000038050d53 +calls=1 0 +0 3 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 2551 +0 2 +cob=(16) +cfi=(142) +cfn=(1222) +calls=1 0 +0 3 +0 2 + +fn=(1712) 0x0000000000405658 +0 2 +cob=(20) /home/sam/Documents/University/honours/course/semester2/pprog/assignment1/nbody-bh/nbody +cfi=(153) ??? +cfn=(1714) 0x0000000000401a40 +calls=1 0 +0 18 +0 2 + +fn=(1824) 0x0000000004f8e230 +0 5 +cfn=(1826) +calls=1 0 +0 18 +0 12 +cfn=(1178) +calls=1 0 +0 80 +0 10 +cfn=(1178) +calls=2 0 +0 170 +0 8 +cfn=(1178) +calls=1 0 +0 85 +0 10 +cfn=(1178) +calls=1 0 +0 85 +0 5 +cfn=(1178) +calls=1 0 +0 85 +0 6 +cfn=(1178) +calls=1 0 +0 85 +0 10 +cfn=(1178) +calls=1 0 +0 85 +0 4 +cfn=(1178) +calls=1 0 +0 85 +0 2 +cfn=(1862) 0x0000000004f8dfb0 +calls=1 0 +0 6460 +0 1 +cfn=(1864) +calls=1 0 +0 10 +0 16 +cfn=(1178) +calls=1 0 +0 119 +0 7 + +fn=(1862) +0 5 +cfn=(1864) +calls=1 0 +0 2156 +0 6 +cfn=(1872) 0x0000000004f549b0 +calls=1 0 +0 1997 +0 7 +cfn=(1880) 0x0000000004f54760 +calls=1 0 +0 2208 +0 6 +cfn=(1880) +calls=1 0 +0 69 +0 6 + +fn=(2020) 0x000000000661d198 +0 2 +cob=(11) +cfi=(88) +cfn=(2022) 0x0000000000002960 +calls=1 0 +0 2004 +0 2 + +fn=(2078) 0x0000000006a3e6c8 +0 2 +cob=(9) +cfi=(86) +cfn=(2080) +calls=1 0 +0 2004 +0 2 + +fn=(1422) 0x0000000004a25480 +0 2 +cob=(19) +cfi=(152) +cfn=(1424) 0x00000000000004d0 +calls=1 0 +0 6 +0 1 +cob=(19) +cfi=(152) +cfn=(1430) 0x0000000000000570 +calls=1 0 +0 6 +0 1 +cob=(19) +cfi=(152) +cfn=(1436) 0x00000000000006e0 +calls=1 0 +0 11 +0 2 + +fn=(1456) 0x0000000000401598 +0 2 +cob=(20) +cfi=(153) +cfn=(1458) 0x0000000000401a1c +calls=1 0 +0 6 +0 1 +cob=(20) +cfi=(153) +cfn=(1464) 0x0000000000401ab0 +calls=1 0 +0 6 +0 1 +cob=(20) +cfi=(153) +cfn=(1470) 0x0000000000405620 +calls=1 0 +0 11 +0 2 + +fn=(460) 0x0000000004c2c3c8 +0 2 +cob=(4) +cfi=(55) +cfn=(462) +calls=1 0 +0 6 +0 1 +cob=(4) +cfi=(55) +cfn=(468) +calls=1 0 +0 6 +0 1 +cob=(4) +cfi=(55) +cfn=(474) +calls=1 0 +0 11 +0 2 + +fn=(654) 0x0000000005fef238 +0 2 +cob=(13) /usr/lib/x86_64-linux-gnu/libX11.so.6.3.0 +cfi=(91) ??? +cfn=(656) 0x0000000000018f54 +calls=1 0 +0 6 +0 1 +cob=(13) +cfi=(91) +cfn=(662) 0x0000000000018ff0 +calls=1 0 +0 6 +0 1 +cob=(13) +cfi=(91) +cfn=(668) 0x00000000000a0520 +calls=1 0 +0 11 +0 2 + +fn=(878) 0x0000000004f543f8 +0 2 +cfn=(880) +calls=1 0 +0 6 +0 1 +cfn=(886) +calls=1 0 +0 6 +0 1 +cfn=(892) +calls=1 0 +0 205191 +0 2 + +fn=(938) 0x0000000004f54550 +0 2 +cob=(3) +cfi=(110) +cfn=(942) malloc +calls=1 2910 +0 59081 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1852 +0 4 +cob=(3) +cfi=(110) +cfn=(942) +calls=3 2910 +0 585 +0 2 + +fn=(1066) +0 2 +cob=(3) +cfi=(126) /build/buildd/eglibc-2.15/libio/../sysdeps/wordsize-64/../../libio/iofopen.c +cfn=(1070) fopen@@GLIBC_2.2.5 +calls=1 107 +0 1554 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 2030 +0 3 +cob=(3) +cfi=(126) +cfn=(1070) +calls=2 107 +0 1012 +0 2 + +fn=(1186) +0 2 +cob=(3) +cfi=(141) /build/buildd/eglibc-2.15/libio/iofclose.c +cfn=(1190) fclose@@GLIBC_2.2.5 +calls=1 43 +0 452 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1738 +0 3 +cob=(3) +cfi=(141) +cfn=(1190) +calls=2 43 +0 974 +0 2 + +fn=(1766) 0x00000000053c6d48 +0 2 +cob=(17) +cfi=(150) +cfn=(1768) 0x0000000000004820 +calls=1 0 +0 2004 +0 2 + +fn=(1806) 0x0000000004f5dfb0 +0 9 +cfn=(1808) +calls=1 0 +0 3660 +0 5 +cfn=(1824) +calls=1 0 +0 7463 +0 12 + +fn=(1880) +0 2 +cob=(3) +cfi=(162) /build/buildd/eglibc-2.15/signal/../nptl/sigaction.c +cfn=(1510) sigaction +calls=1 38 +0 106 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 2097 +0 2 +cob=(3) +cfi=(162) +cfn=(1510) +calls=1 38 +0 68 +0 2 + +fn=(1952) 0x0000000006077558 +0 2 +cob=(13) +cfi=(91) +cfn=(1954) 0x0000000000018f70 +calls=1 0 +0 2004 +0 2 + +fn=(2142) 0x0000000007050aa8 +0 2 +cob=(6) +cfi=(82) +cfn=(2144) 0x00000000000010b0 +calls=1 0 +0 2004 +0 2 + +fn=(252) 0x0000000005bae2b0 +0 2 +cob=(5) +cfi=(62) /build/buildd/eglibc-2.15/nptl/nptl-init.c +cfn=(254) __pthread_initialize_minimal +calls=1 292 +0 9419 +0 1 +cob=(5) +cfi=(69) +cfn=(290) 0x0000000000006700 +calls=1 0 +0 6 +0 1 +cob=(5) +cfi=(69) +cfn=(296) 0x0000000000011320 +calls=1 0 +0 11 +0 2 + +fn=(358) 0x0000000006e4bbb8 +0 2 +cob=(7) +cfi=(83) +cfn=(360) 0x0000000000000d90 +calls=1 0 +0 6 +0 1 +cob=(7) +cfi=(83) +cfn=(366) 0x0000000000000e30 +calls=1 0 +0 6 +0 1 +cob=(7) +cfi=(83) +cfn=(372) 0x0000000000001ab0 +calls=1 0 +0 11 +0 2 + +fn=(922) +0 8 +cfn=(926) +calls=1 0 +0 2223 +0 5 +cfn=(974) +calls=1 0 +0 2205 +0 3 +cfn=(982) +calls=1 0 +0 1965 +0 17 +cfn=(982) +calls=1 0 +0 240 +0 8 +cfn=(982) +calls=1 0 +0 240 +0 8 +cfn=(938) +calls=1 0 +0 196 +0 7 +cfn=(982) +calls=1 0 +0 240 +0 14 +cfn=(982) +calls=1 0 +0 240 +0 13 +cfn=(938) +calls=1 0 +0 196 +0 6 +cfn=(982) +calls=1 0 +0 240 +0 23 +cfn=(938) +calls=1 0 +0 196 +0 12 +cfn=(1006) +calls=1 0 +0 131554 +0 21 +cfn=(938) +calls=1 0 +0 60938 +0 8 +cfn=(966) +calls=1 0 +0 2174 +0 13 + +fn=(926) +0 2 +cob=(3) +cfi=(96) +cfn=(930) pthread_mutex_lock +calls=1 182 +0 30 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 2188 +0 2 +cob=(3) +cfi=(96) +cfn=(930) +calls=1 182 +0 30 +0 2 + +fn=(1104) +0 2 +cob=(3) +cfi=(131) /build/buildd/eglibc-2.15/libio/iofread.c +cfn=(1108) fread +calls=1 37 +0 463 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1831 +0 236 +cob=(3) +cfi=(131) +cfn=(1108) +calls=235 37 +0 27963 +0 2 + +fn=(1278) +0 2 +cob=(3) +cfi=(144) /build/buildd/eglibc-2.15/stdio-common/sscanf.c +cfn=(1282) sscanf +calls=1 29 +0 2973 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 2104 +0 3 + +fn=(1788) +0 8 +cfn=(1794) 0x0000000004f54660 +calls=1 0 +0 2399 +0 4 +cfn=(1806) +calls=1 0 +0 11149 +0 11 + +fn=(1794) +0 2 +cob=(3) +cfi=(196) +cfn=(1736) +calls=1 31 +0 104 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 2290 +0 3 + +fn=(1828) +0 2 + +fn=(1872) +0 2 +cob=(3) +cfi=(198) /build/buildd/eglibc-2.15/signal/sigempty.c +cfn=(1876) sigemptyset +calls=1 28 +0 38 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1954 +0 3 + +fn=(2040) 0x0000000006826724 +0 2 +cob=(10) +cfi=(87) +cfn=(2042) 0x00000000000022f0 +calls=1 0 +0 2004 +0 2 + +fn=(1030) +0 2 +cob=(3) +cfi=(119) /build/buildd/eglibc-2.15/stdio-common/snprintf.c +cfn=(1034) snprintf +calls=1 30 +0 1832 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1899 +0 2 +cob=(3) +cfi=(119) +cfn=(1034) +calls=1 30 +0 392 +0 2 + +fn=(1402) 0x000000000513fae8 +0 2 +cob=(18) +cfi=(151) +cfn=(1404) 0x0000000000016400 +calls=1 0 +0 6 +0 1 +cob=(18) +cfi=(151) +cfn=(1410) 0x00000000000164a0 +calls=1 0 +0 6 +0 1 +cob=(18) +cfi=(151) +cfn=(1416) 0x0000000000025f40 +calls=1 0 +0 11 +0 2 + +ob=(6) +fl=(82) +fn=(2144) +0 10 +cob=(3) +cfi=(196) +cfn=(1736) +calls=1 31 +0 86 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1895 +0 13 + +fn=(346) +0 6 + +fn=(340) +0 6 + +fn=(352) +0 11 + +ob=(14) +fl=(92) +fn=(682) +0 6 + +fn=(676) +0 6 + +fn=(688) +0 11 + +fn=(1934) +0 10 +cob=(3) +cfi=(196) +cfn=(1736) +calls=1 31 +0 86 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1895 +0 13 + +ob=(16) +fl=(142) +fn=(1222) +0 12 + +ob=(1) +fl=(35) /build/buildd/eglibc-2.15/string/../string/memmove.c +fn=(130) memmove +49 21 ++6 42 +-6 21 ++1 21 +-1 21 ++2 21 +-2 63 ++6 42 ++5 60 ++3 50 ++1 20 ++12 120 ++6 40 +-37 20 ++37 340 ++30 147 +-25 1 ++4 1 +-3 1 ++3 3 ++3 1 +-7 1 ++1 1 ++6 2 ++1 2 ++7 12 ++6 2 +-32 10 +cfi=(36) /build/buildd/eglibc-2.15/string/wordcopy.c +cfn=(134) _wordcopy_fwd_aligned +calls=10 -38 +* 288 +* 10 ++26 1 +cfi=(36) +cfn=(132) _wordcopy_bwd_aligned +calls=1 233 +* 21 +* 1 + +fl=(29) /build/buildd/eglibc-2.15/io/../sysdeps/unix/sysv/linux/wordsize-64/fxstat.c +fn=(104) _fxstat +37 18 +-1 18 ++1 18 ++1 108 ++4 18 + +fl=(25) /build/buildd/eglibc-2.15/elf/dl-debug.c +fn=(76) _dl_debug_initialize +52 38 ++9 1 +-1 1 ++1 1 ++1 2 +-1 1 ++1 3 ++1 2 ++4 19 +-10 19 +-4 19 ++4 74 + +fn=(78) _dl_debug_state +77 2 + +fl=(49) +fn=(198) +31 77 ++2 77 ++1 77 ++1 77 ++1 77 ++1 77 ++1 77 ++1 77 ++1 77 ++1 77 ++1 77 +cfi=(50) /build/buildd/eglibc-2.15/elf/../elf/dl-runtime.c +cfn=(200) _dl_fixup +calls=77 +32 +* 138701 ++1 77 ++1 77 ++1 77 ++1 77 ++1 77 ++1 77 ++1 77 ++1 77 ++1 77 ++2 77 + +fl=(22) /build/buildd/eglibc-2.15/string/../sysdeps/x86_64/memcpy.S +fn=(66) mempcpy +62 78 ++4 78 ++3 76 ++1 76 ++2 33 ++1 33 ++2 33 ++1 33 ++5 33 ++1 33 +-1 43 ++1 43 ++2 41 ++1 41 ++2 41 ++1 41 ++5 41 ++1 41 +-1 35 ++1 35 ++2 39 ++1 39 ++2 39 ++1 39 ++5 39 ++1 39 +-1 37 ++1 37 ++2 39 ++1 39 ++2 39 ++1 78 ++5 39 ++1 39 +-1 37 ++1 42 ++5 5 ++1 5 ++1 5 ++1 5 ++2 5 ++2 5 ++1 5 ++2 5 ++6 76 ++4 76 ++12 16 ++2 16 ++1 16 ++26 16 ++1 16 ++3 16 ++1 16 ++1 16 ++5 16 ++2 16 ++1 16 ++1 16 ++1 16 ++2 16 ++1 16 ++1 16 ++1 16 ++2 16 ++1 16 ++2 16 ++22 16 ++2 16 ++2 2 ++7 2 + +fl=(6) /build/buildd/eglibc-2.15/elf/dl-lookup.c +fn=(168) check_match.11236 +132 25794 ++1 4299 +-1 4299 ++1 4299 ++2 8598 ++2 11955 +-2 7970 ++12 11955 ++3 18894 +cfi=(17) /build/buildd/eglibc-2.15/string/../sysdeps/x86_64/multiarch/../strcmp.S +cfn=(52) strcmp +calls=2731 -15 +* 32094 +* 5462 ++5 1397 +-1 1397 ++1 1397 +-1 1397 ++1 1397 ++2 2620 ++19 2620 ++1 10480 ++46 30093 +-18 174 ++2 174 ++1 261 +-1 174 ++1 87 +-1 174 ++9 5176 +-38 3930 +cfi=(17) +cfn=(52) +calls=1310 -43 +* 113521 +* 2620 +-43 8586 ++81 628 + +fn=(10) _dl_setup_hash +861 19 ++3 57 ++4 18 ++4 36 ++2 18 +-1 18 ++3 54 ++5 18 +-4 18 ++1 36 ++2 18 ++1 18 ++4 36 +-7 18 ++5 18 ++1 18 ++1 36 ++14 38 +-10 3 ++2 1 ++2 1 ++2 1 ++1 1 ++1 1 +-4 1 ++4 2 + +fn=(162) _dl_lookup_symbol_x +716 12870 +477 1430 +716 2860 +477 1430 +716 4290 +477 5720 ++1 2860 +-1 1430 ++1 4290 +-1 4290 ++1 97052 +-1 48526 ++1 145578 +-1 147008 +718 1430 ++4 1430 ++4 1430 +-8 1430 ++1 2860 ++7 4050 ++5 1430 ++2 2860 +-2 1430 +-1 1430 ++7 7150 ++8 116 +-8 257 ++2 375 +cfn=(164) do_lookup_x +calls=25 82 +* 31962 +* 21450 +cfn=(164) +calls=1430 82 +* 1948282 ++3 2910 +-5 1430 ++33 2860 ++23 4191 ++1 8382 ++35 5588 ++14 4191 ++3 5588 ++5 1397 ++2 12870 +-81 231 ++17 33 ++1 66 ++54 2 + +fn=(164) +82 13095 ++1 1455 +-6 1455 ++5 4365 +-5 10185 +230 1455 ++3 1455 +89 1455 +230 1455 ++32 1455 +-29 1455 +98 1455 +-3 1455 ++1 1455 ++2 1455 ++3 1455 +-3 1455 ++3 1455 +-3 14941 +-3 14941 ++1 14941 ++2 14941 ++3 14941 +-3 14941 ++3 14941 ++4 32824 ++4 32788 ++4 32788 ++7 49182 ++4 49182 ++1 49182 +226 16394 ++1 32788 ++4 29904 +-2 14952 ++5 59808 ++4 29904 +-1 29904 ++1 14952 +-1 29904 ++21 13555 ++24 29994 +462 85896 ++1 4595 +cfi=(28) /build/buildd/eglibc-2.15/elf/dl-misc.c +cfn=(92) _dl_name_match_p +calls=919 305 +* 51436 +* 5514 ++3 44997 ++3 58 ++1 11640 +287 7614 ++4 3946 ++13 2696 ++1 2696 ++1 2696 +-2 98 ++1 98 ++1 147 ++27 49 +-1 245 ++3 98 +cfi=(2) /build/buildd/eglibc-2.15/elf/rtld.c +cfn=(48) rtld_lock_default_lock_recursive +calls=49 844 +* 98 ++2 49 ++1 49 ++1 49 +-2 49 ++2 49 ++2 96 ++1 48 +-1 48 ++1 96 +77 144 +341 48 ++1 144 +77 144 +342 48 ++3 144 +-3 34 ++3 102 ++20 309 ++4 71 +-4 71 ++4 108 +-24 37 ++1 37 +-1 156 ++1 82 +-1 164 ++25 246 ++3 240 ++5 6 ++2 4 +cfi=(28) +cfn=(234) _dl_higher_prime_number +calls=2 -18 +* 144 ++1 4 +-1 2 ++1 2 +cfi=(15) /build/buildd/eglibc-2.15/elf/dl-minimal.c +cfn=(34) calloc +calls=2 111 +* 99 ++2 2 +-2 2 ++2 2 ++4 2 ++3 2 +-3 2 ++3 2 +-3 2 ++3 6 ++1 276 ++1 70 +-75 70 ++75 140 +-75 210 ++1 70 +-1 70 ++1 210 +77 460 +321 26 ++1 26 +-3 166 ++7 70 ++1 70 ++1 70 ++1 70 ++61 370 ++6 2 +-16 2 ++16 2 +cfi=(15) +cfn=(236) free +calls=2 123 +* 12 ++4 2 +-3 2 ++2 2 ++1 4 ++36 6 +-1 4 ++1 141 +-1 94 ++13 49 ++2 98 +cfi=(2) +cfn=(50) rtld_lock_default_unlock_recursive +calls=49 850 +* 98 +* 49 ++2 49 +317 98 +440 49 +317 147 ++1 49 +-1 49 ++1 147 +77 426 +321 130 ++1 130 +-3 228 ++9 49 +-2 49 ++1 49 ++2 49 +-1 49 +443 196 +323 86 ++84 3 ++9 2 ++10 3 +cfi=(15) +cfn=(34) +calls=1 111 +* 38 ++1 1 +-1 1 ++1 1 ++3 1 ++2 1 +-7 1 ++6 1 ++1 3 +241 8208 +-1 4104 ++2 4104 ++2 5499 ++10 9213 +-7 22340 ++2 2794 ++1 1397 +-1 1397 ++1 5588 +-1 4191 ++1 5588 +cfn=(168) +calls=1397 132 +* 200120 ++1 8382 ++11 2884 ++6 13133 ++2 11608 +-2 2902 ++2 2902 +-2 2902 ++4 23216 +cfn=(168) +calls=2902 132 +* 123802 ++1 14510 +-10 1418 +fi=(40) /build/buildd/eglibc-2.15/elf/../sysdeps/generic/dl-hash.h +32 1418 ++1 7090 ++2 4254 ++1 4254 ++2 4254 ++1 4254 ++2 4254 ++1 4254 ++2 4218 ++19 1406 +-17 4218 ++17 42799 +-17 128397 ++3 128397 ++1 85598 ++13 128397 ++5 1406 +fe=(6) +263 4254 + +fl=(15) +fn=(42) __libc_memalign +53 396 ++1 396 ++11 99 ++1 99 +-1 99 ++3 99 +-3 99 ++3 554 ++4 40 ++1 20 ++6 70 +cfi=(23) /build/buildd/eglibc-2.15/misc/../sysdeps/unix/syscall-template.S +cfn=(68) mmap +calls=10 +3 +* 60 ++2 20 ++2 30 ++2 30 ++3 10 ++1 10 ++2 50 +-3 89 ++1 89 ++2 445 +-31 3 ++1 1 +-2 3 + +fn=(38) malloc +95 98 ++1 196 +cfn=(42) +calls=98 -43 +* 2762 + +fn=(34) +111 41 +-3 41 ++3 82 +-3 41 ++3 82 ++4 82 +cfn=(38) +calls=41 -20 +* 1380 + +fn=(74) strsep +320 4 ++3 8 ++2 4 ++1 8 ++4 16 ++5 4 +-5 118 ++5 240 ++2 366 ++8 61 +-15 185 ++18 2 ++4 8 + +fn=(236) +123 2 +-2 4 ++2 2 ++7 4 + +fl=(28) +fn=(92) +305 8015 ++1 3206 +cfi=(17) +cfn=(52) +calls=1603 135 +* 11228 +* 1603 ++1 1603 +-1 1603 ++3 1603 ++8 1603 +-6 3206 ++4 1592 +-4 3184 ++1 4959 +cfi=(17) +cfn=(52) +calls=1653 135 +* 38167 +* 3306 ++1 61 ++5 1847 +-1 1542 ++1 6168 + +fn=(234) +362 2 +-1 4 ++7 1 +-4 2 ++2 32 ++1 12 +-3 7 ++3 7 +-3 7 ++2 42 ++1 18 ++1 2 +-4 4 ++18 2 ++1 2 + +fn=(124) _dl_sysdep_read_whole_file +44 2 ++7 1 +-7 4 ++7 1 +-7 1 ++7 1 +cfi=(21) /build/buildd/eglibc-2.15/io/../sysdeps/unix/syscall-template.S +cfn=(98) open +calls=1 +31 +* 5 ++1 1 +-1 1 +-6 1 ++7 1 ++2 4 +cfi=(29) +cfn=(104) +calls=1 -17 +* 10 +* 2 ++2 1 ++3 1 +-3 1 ++3 1 ++13 2 +cfi=(21) +cfn=(112) close +calls=1 +10 +* 5 ++3 7 +-14 7 +cfi=(23) +cfn=(68) +calls=1 +21 +* 6 +* 2 + +fl=(8) /build/buildd/eglibc-2.15/elf/../sysdeps/unix/sysv/linux/x86_64/brk.c +fn=(14) brk +29 1 ++3 6 ++8 1 +-6 2 ++7 1 + +fl=(36) +fn=(134) +38 60 ++27 2 ++3 4 ++38 2 +-38 2 ++39 4 ++2 2 ++1 2 ++2 2 ++1 2 ++2 2 ++1 2 ++2 2 ++1 2 ++3 2 ++3 4 +-16 6 ++1 6 ++2 6 ++1 6 ++2 6 ++1 6 ++2 6 ++1 6 ++3 6 ++3 12 +-13 2 ++1 2 ++2 2 ++1 2 ++2 2 ++1 2 ++3 2 ++3 4 +-7 2 ++1 2 ++3 2 ++3 4 +-4 2 +-24 2 ++1 2 ++2 2 ++1 2 ++2 2 ++1 2 ++2 2 ++1 4 +-10 2 ++1 2 ++2 2 ++1 2 ++2 2 ++1 2 ++2 2 ++1 4 +-18 2 +-4 2 ++4 2 +-3 4 +-45 2 ++3 6 ++1 2 ++8 2 ++3 6 ++1 2 ++2 2 ++3 6 ++1 2 ++67 20 + +fn=(132) +233 6 ++77 1 ++10 1 +-9 1 ++2 1 ++1 1 ++3 1 ++3 1 ++5 2 +-82 1 +-1 1 ++2 1 ++1 2 ++1 1 + +fl=(12) /build/buildd/eglibc-2.15/string/../string/memcmp.c +fn=(28) bcmp +322 60 ++7 60 +-7 300 ++7 60 ++4 66 ++2 1 ++1 1 ++4 2 +-3 1 ++1 2 +-3 4 ++1 4 ++1 4 ++1 4 ++2 8 ++2 5 +-9 15 ++16 22 +-16 22 ++16 44 ++1 32 +136 80 +-19 16 +353 32 ++4 6 ++2 6 +-2 12 ++1 6 ++17 6 +-12 12 ++12 38 +-12 76 ++2 39 ++1 39 ++4 78 +-52 114 ++47 254 ++1 254 ++3 254 ++1 508 +-7 584 ++12 38 ++1 420 +-24 6 +228 6 ++1 6 +352 6 +233 6 +-4 6 ++6 6 +-2 6 ++2 23 +-99 32 ++4 16 ++1 16 ++3 48 ++48 16 +-2 16 ++1 16 ++1 112 +-80 16 ++1 32 ++4 32 +-5 64 ++1 128 ++4 144 +235 10 ++6 5 ++3 5 +-5 5 ++1 5 ++4 5 +-2 5 ++56 10 +-2 5 ++2 10 +-1 5 ++1 10 ++1 10 +-31 1 +-6 1 ++1 1 ++1 1 ++4 1 ++43 36 ++1 12 +-6 10 + +fl=(2) +fn=(24) process_envvars +2560 1 ++8 1 +-8 7 ++23 1 +-23 1 ++1 1 ++7 1 +-7 1 ++7 3 +-4 1 +-1 1 ++5 2 ++2 2 +cfi=(11) /build/buildd/eglibc-2.15/elf/dl-environ.c +cfn=(26) _dl_next_ld_env_entry +calls=1 31 +* 56 +* 4 +cfi=(11) +cfn=(26) +calls=2 31 +* 236 +* 9 ++4 46 ++1 19 +-1 57 ++3 4 ++6 12 +2736 1 +-4 1 ++4 2 ++33 2 ++22 8 +2659 4 +cfi=(12) +cfn=(28) +calls=1 322 +* 105 +* 2 +-53 4 +cfi=(12) +cfn=(28) +calls=1 322 +* 22 +* 2 ++7 4 +cfi=(12) +cfn=(28) +calls=1 322 +* 70 +* 2 ++2 2 ++1 1 ++45 2 ++1 1 + +fn=(48) +844 67 ++1 67 + +fn=(2) _dl_start +368 9 ++18 4 +fi=(4) /build/buildd/eglibc-2.15/elf/../sysdeps/x86_64/dl-machine.h +76 2 +fe=(2) +386 1 ++29 2 +-3 1 +fi=(3) /build/buildd/eglibc-2.15/elf/dynamic-link.h +121 1 +fe=(2) +415 1 +fi=(3) +121 2 ++7 1 ++5 1 ++3 1 ++2 1 +-9 1 +fe=(2) +367 2 +fi=(3) +124 30 ++15 15 +-18 45 ++18 1 +-18 3 ++2 40 ++5 20 ++1 16 ++10 4 +-18 13 ++25 2 ++20 4 ++1 4 ++1 4 ++1 4 ++2 4 ++5 4 ++1 4 ++1 4 ++6 3 ++5 2 ++7 3 ++1 3 ++8 3 ++2 3 ++3 2 ++1 2 +fe=(2) +543 3 ++7 1 +291 66 ++12 2 +cfi=(6) +cfn=(10) +calls=1 861 +* 27 ++1 1 ++1 1 +-1 1 ++1 1 ++1 1 ++1 1 +-1 1 ++1 1 ++21 1 ++10 1 +-10 3 ++10 1 +-6 1 +-4 1 ++10 1 +cfi=(7) /build/buildd/eglibc-2.15/elf/../elf/dl-sysdep.c +cfn=(12) _dl_sysdep_start +calls=1 89 +* 2928306 +* 1 ++9 4 ++3 1 ++4 1 +-4 1 ++4 1 +575 9 +fi=(3) +130 4 ++3 4 +fe=(2) +548 24 +fi=(5) /build/buildd/eglibc-2.15/elf/do-rel.h +93 1 +-1 1 ++3 2 ++25 2 +fi=(4) +460 1 +fi=(5) +121 1 +fi=(4) +460 1 +fi=(5) +121 1 +fe=(2) +367 2 +fi=(5) +121 26 +fi=(4) +460 26 ++1 28 +fi=(5) +120 28 +fi=(4) +461 14 +fi=(5) +120 14 ++5 2 ++8 1 +fi=(4) +304 1 +fi=(5) +133 2 ++13 1 ++2 1 +fi=(4) +286 3 +fi=(5) +146 7 ++2 7 +fi=(4) +286 21 +fi=(5) +146 24 +fi=(4) +295 24 ++3 8 +-3 16 ++3 24 ++6 8 +fi=(5) +148 8 +fi=(4) +304 40 +fi=(3) +136 4 ++1 1 ++1 3 +fi=(4) +382 8 +fi=(5) +133 16 +fi=(4) +382 8 +fi=(5) +133 9 +fe=(2) +291 4 + +fn=(80) do_preload +810 1 ++12 1 +-12 5 ++10 1 +-4 1 ++1 1 ++5 4 +-10 1 ++6 1 ++4 1 +cfi=(26) /build/buildd/eglibc-2.15/elf/dl-error.c +cfn=(82) _dl_catch_error +calls=1 160 +* 2432 ++1 2 ++10 3 ++4 5 + +fn=(84) _dl_initial_error_catch_tsd +804 94 + +fn=(138) version_check_doit +663 2 ++2 4 +cfi=(37) /build/buildd/eglibc-2.15/elf/dl-version.c +cfn=(140) _dl_check_all_versions +calls=1 387 +* 46314 +* 2 ++4 2 + +fn=(22) dl_main +896 1 ++19 1 +-19 3 ++27 1 +-27 2 ++22 1 +-22 3 ++32 1 +-32 3 ++32 1 +-6 1 ++9 1 +-16 1 ++3 1 ++5 1 +-1 1 ++9 1 +cfn=(24) +calls=1 2560 +* 701 ++7 3 +1125 7 +cfi=(13) /build/buildd/eglibc-2.15/elf/dl-object.c +cfn=(30) _dl_new_object +calls=1 63 +* 242 ++2 1 +-2 1 ++2 1 ++1 1 ++1 1 ++5 1 +-4 1 ++4 1 +-4 1 ++4 1 +cfi=(13) +cfn=(46) _dl_add_to_namespace_list +calls=1 34 +* 34 ++1 4 +905 1 +1164 2 +-3 1 +-5 1 ++1 1 ++7 1 +-5 1 ++5 3 ++56 2 +902 1 +1220 2 +-55 24 +-1 27 ++1 47 +-1 2 +1267 3 ++3 2 ++2 2 ++2 2 ++13 3 ++1 7 +cfi=(17) +cfn=(52) +calls=1 135 +* 7 +* 2 ++17 2 +fi=(3) +106 1 ++9 2 ++6 1 +-2 1 ++2 4 ++7 1 ++5 1 ++3 1 +-7 14 ++10 3 +fe=(2) +892 6 +fi=(3) +121 9 ++8 20 ++10 20 +fe=(2) +892 40 +fi=(3) +121 60 ++18 1 +fe=(2) +892 2 +fi=(3) +121 3 ++2 48 ++5 16 ++2 4 +fe=(2) +1260 2 ++1 2 ++1 1 +-6 2 ++1 1 +-88 3 ++1 1 ++50 6 +-1 2 ++2 4 ++1 1 ++3 2 ++1 2 +-1 2 ++1 2 ++1 2 ++1 6 ++1 2 +-45 2 ++2 1 ++7 1 ++18 1 +-25 1 +-3 1 ++10 1 +-19 3 ++1 1 +fi=(3) +146 3 ++38 3 ++5 2 ++7 2 ++1 3 ++16 3 ++14 3 ++7 2 +fe=(2) +1310 2 +cfi=(6) +cfn=(10) +calls=1 861 +* 27 ++3 2 ++20 2 ++94 6 ++5 2 +cfi=(20) /build/buildd/eglibc-2.15/elf/dl-load.c +cfn=(60) _dl_init_paths +calls=1 712 +* 1544 ++3 3 +cfi=(25) +cfn=(76) +calls=1 52 +* 18 ++7 1 +-7 1 ++2 1 ++5 1 ++4 1 ++1 1 ++2 1 +-1 1 +-2 3 ++1 1 ++3 1 ++5 2 ++5 1 ++2 2 ++2 1 +892 2 +1463 1 +892 1 +1464 1 +892 1 +1468 1 ++1 2 ++1 2 +-1 1 ++1 2 ++2 2 ++1 2 ++5 2 ++5 3 +911 1 +1664 3 ++3 2 ++4 3 ++5 2 ++1 1 +cfi=(25) +cfn=(78) +calls=1 77 +* 1 ++4 3 ++15 3 ++4 3 ++31 3 +cfi=(21) +cfn=(64) access +calls=1 82 +* 11 +* 2 ++77 4 ++17 3 ++1 1 +-1 1 ++1 2 +-1 1 ++1 4 +cfi=(31) /build/buildd/eglibc-2.15/elf/dl-deps.c +cfn=(114) _dl_map_object_deps +calls=1 149 +* 123283 ++1 1 ++5 1 +-5 3 ++2 2 ++3 4 ++1 4 +-1 2 ++1 72 +-1 36 ++4 3 ++1 3 ++1 1 ++2 2 ++1 2 +-1 1 ++1 42 +-1 39 ++47 2 ++2 2 +-2 2 ++1 2 +-1 1 ++2 1 +-1 2 ++1 1 +cfi=(26) +cfn=(136) _dl_receive_error +calls=1 198 +* 46354 ++10 1 ++1 1 +-1 1 ++1 1 ++3 2 ++3 1 +cfn=(152) security_init +calls=1 857 +* 22 ++2 3 +2136 3 ++56 1 ++11 1 +-11 1 ++4 4 ++4 2 ++3 1 ++8 2 +1295 1 ++3 1 +-5 1 ++3 1 ++2 1 ++1 2 ++4 2 +-57 3 +2292 4 ++2 1 ++6 1 +-6 1 ++6 1 ++9 4 ++1 1 ++5 2 +cfi=(34) /build/buildd/eglibc-2.15/elf/dl-tls.c +cfn=(238) _dl_allocate_tls_init +calls=1 377 +* 380 ++4 2 ++14 3 ++2 4 ++15 1 ++2 1 +-2 1 ++3 2 +-3 2 ++3 2 +-3 1 ++3 1 +cfi=(39) /build/buildd/eglibc-2.15/elf/dl-reloc.c +cfn=(156) _dl_relocate_object +calls=1 154 +* 9787 ++1 4 ++2 2 ++8 1 +cfi=(7) +cfn=(240) _dl_sysdep_start_cleanup +calls=1 252 +* 1 ++4 3 ++20 3 +cfi=(25) +cfn=(76) +calls=1 52 +* 9 ++1 1 ++1 1 +cfi=(25) +cfn=(78) +calls=1 77 +* 1 ++4 1 +cfi=(33) /build/buildd/eglibc-2.15/elf/dl-cache.c +cfn=(242) _dl_unload_cache +calls=1 309 +* 15 ++5 8 +fi=(3) +133 4 +fe=(2) +2257 3 ++7 1 +-7 1 ++9 5 ++1 5 ++1 40 ++2 19 +-2 19 ++2 38 ++5 38 ++2 38 ++7 19 +-2 19 ++2 38 ++1 144 +cfi=(39) +cfn=(156) +calls=18 154 +* 2739471 ++4 46 ++1 8 +cfi=(34) +cfn=(188) _dl_add_to_slotinfo +calls=4 817 +* 84 +* 4 +1841 2 ++13 1 +-1 1 ++1 1 +-1 1 ++1 1 ++2 1 ++2 4 ++2 1 +-4 1 ++5 1 +-1 2 ++14 2 ++1 2 ++1 3 ++2 2 ++1 1 +-28 1 ++28 2 +fi=(3) +136 4 ++1 1 ++1 3 +fe=(2) +1329 2 ++98 1 +cfi=(18) /build/buildd/eglibc-2.15/elf/../sysdeps/unix/sysv/linux/dl-sysdep.c +cfn=(56) _dl_discover_osversion +calls=1 67 +* 89 +* 2 ++29 4 +-11 4 +2138 1 +904 2 +729 1 +-4 2 ++4 2 +cfn=(146) init_tls.part.3 +calls=1 -7 +* 791 +* 2 +1707 2 +cfi=(9) /build/buildd/eglibc-2.15/string/../sysdeps/x86_64/multiarch/../rtld-strlen.S +cfn=(18) strlen +calls=1 29 +* 81 +* 8 +cfi=(16) /build/buildd/eglibc-2.15/string/../sysdeps/x86_64/multiarch/../memcpy.S +cfn=(44) memcpy +calls=1 62 +* 47 +* 1 ++3 5 +-12 1 ++12 2 ++3 3 +cfi=(15) +cfn=(74) +calls=1 320 +* 768 +* 3 +cfi=(15) +cfn=(74) +calls=1 320 +* 8 +* 6 ++1 2 ++1 3 ++2 4 +cfn=(80) +calls=1 810 +* 2459 +* 2 ++2 1 ++1 2 +-1 3 ++2 3 ++91 5 ++1 1 +-1 3 ++4 3 ++1 1 ++1 2 ++1 2 +2279 1 ++1 1 +-3 2 + +fn=(88) map_doit +631 2 ++2 7 +cfi=(20) +cfn=(90) _dl_map_object +calls=1 2276 +* 2363 +* 1 ++2 2 + +fn=(146) +722 1 ++13 1 ++4 4 +cfi=(15) +cfn=(34) +calls=1 111 +* 38 ++11 1 +-15 1 ++3 1 ++8 1 +-11 1 ++15 1 ++2 1 +-1 2 ++3 38 ++4 4 ++2 4 +-2 12 +-5 4 +-1 8 ++1 15 +-1 32 ++10 3 ++3 1 +cfi=(34) +cfn=(148) _dl_determine_tlsoffset +calls=1 113 +* 181 ++7 1 +cfi=(34) +cfn=(150) _dl_allocate_tls_storage +calls=1 329 +* 419 ++1 1 +-1 1 ++1 1 ++6 1 ++8 1 +-8 1 ++8 6 ++7 1 +-3 1 ++3 2 + +fn=(50) +850 67 ++1 67 + +fn=(152) +857 2 ++2 1 +fi=(38) /build/buildd/eglibc-2.15/elf/../sysdeps/unix/sysv/linux/dl-osinfo.h +74 2 ++23 1 ++2 2 +fe=(2) +861 1 ++6 3 ++2 1 +fi=(38) +114 2 ++11 1 +fe=(2) +872 1 ++2 1 ++6 1 ++1 3 + +fl=(16) +fn=(44) +62 74 ++2 74 ++2 74 ++3 65 ++1 65 ++2 20 ++1 20 ++2 20 ++1 20 ++5 20 ++1 20 +-1 45 ++1 45 ++2 16 ++1 16 ++2 16 ++1 32 ++5 16 ++1 16 +-1 49 ++1 49 ++2 19 ++1 19 ++2 19 ++1 19 ++5 19 ++1 19 +-1 46 ++1 46 ++2 36 ++1 36 ++2 36 ++1 36 ++5 36 ++1 36 +-1 29 ++1 57 ++5 28 ++1 28 ++1 28 ++1 28 ++2 28 ++2 28 ++1 28 ++2 28 ++8 65 ++8 33 ++6 33 ++2 33 ++1 33 ++3 12 ++1 24 ++5 12 ++1 12 ++2 12 ++2 12 ++1 12 ++2 12 +-8 23 ++1 23 ++2 23 ++2 23 ++1 23 ++2 35 ++9 12 ++1 12 +-1 21 ++1 21 ++3 33 ++1 33 ++1 33 ++5 32 ++2 32 ++1 32 ++1 32 ++1 32 ++2 32 ++1 32 ++1 32 ++1 32 ++2 32 ++1 32 ++2 32 ++2 2 ++2 2 ++1 2 ++1 2 ++1 2 ++2 2 ++1 2 ++1 2 ++1 2 ++2 2 ++1 2 ++2 3 ++5 1 ++6 1 ++1 1 +-7 32 ++6 32 ++1 32 ++2 9 + +fl=(33) +fn=(122) _dl_load_cache_lookup +183 128 ++8 32 ++3 48 ++45 45 ++6 48 ++15 48 +cfi=(21) +cfn=(64) +calls=16 82 +* 176 ++5 16 +-5 16 ++19 16 +-14 80 ++14 16 +-15 16 ++15 64 +-25 16 ++25 16 +-25 16 ++25 2208 +cfn=(126) _dl_cache_libcmp +calls=143 164 +* 11837 +* 635 ++21 144 +197 4 +cfi=(28) +cfn=(124) +calls=1 44 +* 68 ++8 1 +-8 1 ++8 4 ++1 4 +cfi=(12) +cfn=(28) +calls=1 322 +* 98 +* 2 ++7 1 +-3 1 ++3 3 ++3 1 ++1 2 +-1 1 ++1 1 ++1 3 +cfi=(12) +cfn=(28) +calls=1 322 +* 157 +* 2 ++18 2 ++43 118 +cfn=(126) +calls=18 164 +* 1542 +* 42 +-97 2 ++97 10 +-97 16 ++97 192 +-97 16 ++97 32 +-97 16 ++97 304 ++16 64 +-16 80 + +fn=(126) +164 483 +-23 362 ++2 1794 ++2 897 +-2 897 ++2 44 ++6 20 ++1 40 +-1 20 ++2 20 +-1 20 +-1 20 ++2 62 ++1 8 +-1 8 ++2 102 ++1 8 +-1 8 ++2 40 ++6 1750 ++2 1750 ++5 1468 +-1 734 ++1 734 +-29 1468 ++32 54 +-7 564 +-5 4 + +fn=(242) +309 1 ++1 4 ++2 2 +cfi=(23) +cfn=(244) munmap +calls=1 82 +* 5 ++1 1 ++2 2 + +fl=(70) /build/buildd/eglibc-2.15/string/../sysdeps/x86_64/multiarch/../cacheinfo.c +fn=(306) handle_intel +307 2 ++6 2 +-6 14 ++1 4 ++13 2 ++1 2 ++2 2 +-5 2 ++11 4 ++5 2 +-5 4 ++5 2 ++7 10 +cfn=(308) intel_check_word +calls=2 163 +* 1606 ++1 4 ++3 10 +cfn=(308) +calls=2 163 +* 785 ++1 4 ++3 5 +cfn=(308) +calls=1 163 +* 21 ++1 2 ++3 5 +cfn=(308) +calls=1 163 +* 203 ++1 2 +-18 2 ++1 4 ++26 16 + +fn=(308) +163 60 ++1 12 ++8 6 +-2 40 ++14 26 ++53 26 ++36 65 +-1 13 ++1 13 +cfi=(72) /build/buildd/eglibc-2.15/stdlib/bsearch.c +cfn=(310) bsearch +calls=13 27 +* 2186 ++2 26 ++2 12 ++14 2 ++6 11 +172 22 ++2 13 ++2 26 +301 4 ++1 42 +-23 2 ++2 4 ++2 4 + +fn=(302) init_cacheinfo +552 1 ++13 1 +-13 1 ++13 1 +-13 1 ++13 1 ++7 2 +-6 1 +cfi=(71) /build/buildd/eglibc-2.15/csu/../sysdeps/x86_64/multiarch/init-arch.c +cfn=(304) __init_cpu_features +calls=1 53 +* 57 +* 2 ++8 3 +cfn=(306) +calls=1 307 +* 1667 ++4 2 +-4 1 ++4 1 +cfn=(306) +calls=1 307 +* 1054 ++2 1 +-2 1 +-1 1 ++3 1 ++29 1 +-18 1 ++18 3 ++7 5 ++6 2 +-6 12 ++6 6 ++3 20 ++2 1 ++6 6 ++7 5 ++2 1 ++2 2 +-4 4 ++2 1 ++2 6 ++2 4 ++5 1 ++2 2 ++1 1 +-1 2 ++1 1 ++5 1 ++12 4 ++75 2 ++2 1 ++1 1 ++2 1 +-3 1 ++5 1 +-5 1 ++4 3 ++4 2 ++2 1 ++1 1 ++2 1 +-3 1 ++5 1 ++2 1 +-7 1 ++4 2 ++3 1 +-3 1 ++3 2 +-93 7 + +fn=(312) intel_02_known_compare +152 87 ++1 87 +-1 174 ++3 168 ++1 87 + +fl=(31) +fn=(114) +149 1 ++1 1 +-1 2 ++1 1 +-1 1 ++1 1 +-1 1 ++1 2 +-1 5 ++1 1 +-1 1 ++1 2 ++16 1 +-16 1 ++14 1 ++1 1 ++1 1 ++6 4 ++10 2 +-14 1 ++14 1 +-36 3 ++20 1 +-2 1 ++19 1 +-17 1 ++6 1 +-6 1 +-2 1 ++2 1 +-2 1 ++1 1 ++1 1 ++6 3 ++10 1 +-10 1 ++10 5 ++4 1 ++21 1 ++1 1 +-22 2 ++19 1 ++3 3 +-3 1 ++7 1 ++1 1 +-1 1 ++5 1 ++4 2 +-9 18 ++1 18 +-1 18 ++5 18 ++4 36 ++12 38 ++2 17 ++11 17 +-4 17 ++1 17 +-2 17 +-6 17 ++7 17 ++1 17 +-8 17 ++5 17 ++6 119 ++50 88 ++1 114 +-51 1628 ++1 814 ++6 220 +cfi=(24) /build/buildd/eglibc-2.15/string/../sysdeps/x86_64/multiarch/../strchr.S +cfn=(70) index +calls=44 26 +* 1397 +* 132 ++5 220 +-3 44 ++3 44 +cfi=(26) +cfn=(82) +calls=44 -98 +* 106816 ++2 132 ++15 44 ++2 88 ++5 17 ++6 17 ++2 17 +-8 34 ++5 17 +-2 17 ++1 17 ++2 17 ++4 102 +-59 8 +-19 2 +477 38 ++2 51 ++3 34 +-1 17 +cfi=(15) +cfn=(38) +calls=17 95 +* 493 ++2 17 +-2 17 ++2 17 ++4 68 +-1 17 ++2 17 +-1 17 +cfi=(16) +cfn=(44) +calls=17 62 +* 484 ++1 68 +cfi=(16) +cfn=(44) +calls=17 62 +* 484 ++4 17 +-1 17 ++5 95 ++2 19 ++1 128 +222 128 ++2 17 ++2 17 +-2 17 ++2 34 ++2 39 +499 1 +206 1 +499 2 ++4 5 ++1 2 ++3 5 ++11 3 +-1 1 +cfi=(15) +cfn=(38) +calls=1 95 +* 29 ++3 1 +-3 1 ++3 1 ++5 2 ++1 1 +-1 2 ++1 1 +-1 1 ++1 8 ++8 4 ++4 2 +-10 3 +-2 18 ++8 72 ++4 36 +-10 55 ++13 2 ++51 5 ++2 3 +213 2 +637 1 +-5 1 ++6 2 +-2 1 ++1 5 ++1 3 +cfi=(30) /build/buildd/eglibc-2.15/string/../sysdeps/x86_64/multiarch/../memset.S +cfn=(108) memset +calls=1 44 +* 20 +* 5 ++4 1 ++7 1 +-6 2 ++6 1 +-7 22 ++7 22 +-6 44 ++6 66 ++2 88 ++1 44 +-1 652 ++1 346 ++3 1416 +-1 1896 ++23 180 +-28 360 ++31 54 ++3 136 +cfi=(30) +cfn=(108) +calls=17 44 +* 297 +* 51 +-24 55 +cfi=(35) +cfn=(130) +calls=5 49 +* 369 ++4 10 +-2 5 ++2 25 ++20 1 ++7 2 ++2 1 ++1 1 +-1 1 ++9 2 ++3 3 ++3 8 +-37 10 +-1 5 ++1 10 +cfi=(35) +cfn=(130) +calls=5 49 +* 300 ++2 10 ++2 10 +299 1452 +630 6 +cfi=(16) +cfn=(44) +calls=1 62 +* 88 ++2 3 + +fn=(116) openaux +62 88 ++7 44 +-4 132 ++2 44 +-2 44 ++2 44 +-2 220 +cfi=(20) +cfn=(90) +calls=44 2276 +* 103560 +* 44 ++5 88 + +fl=(9) +fn=(18) +29 72 ++1 72 ++1 72 ++1 72 ++2 43 ++1 43 ++2 43 ++1 43 +-1 98 ++1 98 ++1 140 ++1 140 ++1 140 ++2 142 ++5 71 ++1 71 ++1 71 ++1 71 ++3 71 +-6 29 ++1 29 ++1 29 ++1 29 ++3 29 ++1 85 ++1 85 ++1 85 ++2 85 ++3 65 ++1 65 ++1 65 ++1 65 ++3 65 ++1 57 ++1 57 ++1 57 ++2 57 ++3 36 ++1 36 ++1 36 ++1 36 ++3 36 ++1 36 ++1 36 ++1 36 ++2 36 ++3 35 ++1 35 ++1 35 ++1 35 ++3 35 ++1 31 ++1 31 ++1 31 ++2 33 ++3 2 ++2 2 ++1 2 +-3 69 ++2 69 ++1 69 ++1 53 ++2 53 ++1 53 ++1 52 ++2 52 ++1 52 ++1 49 ++2 49 ++1 49 ++1 37 ++2 37 ++2 37 ++1 37 ++1 32 ++2 32 ++1 32 ++1 23 ++2 23 ++1 23 ++1 10 ++2 10 ++1 10 +-1 62 ++1 62 + +fl=(39) +fn=(156) +154 19 ++11 38 +-11 95 ++10 38 +-10 57 ++15 19 +-15 38 ++11 19 ++4 19 ++1 95 ++6 38 ++6 57 ++4 38 ++8 38 +-33 19 ++78 19 +fi=(4) +96 38 +fe=(39) +239 38 +fi=(4) +96 19 ++39 3 +fe=(39) +265 757 +152 1 +265 2 +152 1 +265 1 +fi=(5) +57 1 +fe=(39) +265 1 +fi=(5) +67 1 +fe=(39) +265 1 +fi=(5) +56 2 ++11 2 +fe=(39) ++85 18 +265 36 +152 18 +265 18 +fi=(5) +57 18 +fe=(39) +265 18 +fi=(5) +67 18 +fe=(39) +265 18 +fi=(5) +56 36 ++11 36 +fe=(39) +265 19 +fi=(5) +57 19 +fe=(39) +265 19 +fi=(5) +67 19 +fe=(39) +265 19 +fi=(5) +56 38 ++11 38 ++3 90 +fi=(4) +470 3126 ++4 3126 ++2 4689 ++1 1563 +fi=(5) +70 4734 ++2 4740 ++2 55 +-4 6 ++13 36 ++1 10 ++1 34 +fi=(4) +470 34 ++24 17 +fi=(5) +84 17 +fi=(4) +494 17 ++2 17 +cob=(4) +cfi=(51) +cfn=(230) +calls=1 23 +* 14 +cob=(4) +cfi=(60) +cfn=(226) +calls=1 15 +* 14 +cob=(4) +cfi=(57) +cfn=(224) +calls=1 14 +* 12 +cob=(4) +cfi=(59) +cfn=(222) +calls=1 26 +* 11 +cob=(4) +cfi=(58) +cfn=(220) +calls=1 26 +* 11 +cob=(4) +cfi=(57) +cfn=(218) +calls=1 10 +* 12 +cob=(4) +cfi=(56) +cfn=(216) +calls=1 26 +* 11 +cob=(4) +cfi=(54) +cfn=(212) +calls=1 15 +* 14 +cob=(4) +cfi=(53) +cfn=(210) +calls=1 8 +* 12 +cob=(4) +cfi=(52) +cfn=(208) +calls=1 26 +* 11 +cob=(4) +cfi=(51) +cfn=(206) +calls=1 20 +* 14 +cob=(4) +cfi=(48) +cfn=(190) +calls=1 15 +* 1902 +cob=(3) +cfi=(47) /build/buildd/eglibc-2.15/time/../sysdeps/unix/sysv/linux/x86_64/gettimeofday.c +cfn=(184) gettimeofday +calls=1 31 +* 76 +cob=(3) +cfi=(41) /build/buildd/eglibc-2.15/string/../sysdeps/x86_64/multiarch/strcmp.S +cfn=(182) strncasecmp +calls=1 127 +* 9 +cob=(3) +cfi=(46) /build/buildd/eglibc-2.15/string/../sysdeps/x86_64/multiarch/strnlen.S +cfn=(180) strnlen +calls=1 30 +* 6 +cob=(3) +cfi=(43) /build/buildd/eglibc-2.15/time/../sysdeps/unix/sysv/linux/x86_64/time.c +cfn=(174) time +calls=1 29 +* 76 +cob=(3) +cfi=(41) +cfn=(170) strcasecmp +calls=1 104 +* 67 +fi=(5) +84 17 +fi=(4) +497 17 +fi=(5) +84 19 +184 2 +fe=(39) ++81 6 +fi=(5) +-81 36 +fe=(39) ++81 108 ++3 57 ++40 19 ++3 38 ++17 57 ++2 152 +fi=(5) +93 20 ++2 40 ++12 20 +-14 20 ++14 20 +-14 20 ++14 20 ++10 36 ++3 36 +fi=(4) +460 17 +fi=(5) +121 17 +fi=(4) +460 17 +fi=(5) +121 17 +fe=(39) ++31 34 +fi=(5) +-31 20404 +fi=(4) +460 20404 ++1 20438 +fi=(5) +120 20438 +fi=(4) +461 10219 +fi=(5) +120 10219 ++7 60 ++3 19 ++3 19 +-3 19 ++3 55 +fi=(4) +396 72 +fi=(5) +136 12070 ++9 4828 ++1 2414 ++2 4828 +fi=(4) +268 2414 +fi=(5) +147 2414 +-2 2414 ++1 7242 +fi=(4) +268 2414 ++18 4828 ++7 30094 +fi=(5) +146 12 ++1 12 +fi=(4) +293 24 +fi=(5) +146 12 +fi=(4) +293 5388 +fi=(5) +146 1338 ++1 1338 +fi=(4) +293 2676 +fi=(5) +146 1338 +fi=(4) +293 20214 +cfi=(6) +cfn=(162) +calls=1350 716 +* 2422754 +* 5400 ++2 7242 ++3 2383 +-3 4766 ++3 7149 ++6 4828 +96 36 ++6 36 ++4 54 ++13 18 +-8 18 ++8 36 ++13 18 ++3 18 +-3 18 ++3 54 +fe=(39) ++49 57 +fi=(4) +-49 36 +fe=(39) +265 108 +fi=(4) ++28 5352 +fi=(5) +133 42 ++19 36 +fi=(4) +304 9656 ++85 2387 +fi=(5) +133 4774 +fi=(4) +389 2387 +fi=(5) +133 2404 +-16 3 +fe=(39) +337 18 +-1 36 ++1 18 +-1 36 ++2 36 ++3 36 ++1 54 +cfi=(23) +cfn=(106) mprotect +calls=18 82 +* 90 +* 36 +fi=(4) ++83 6 ++4 10 +cfi=(16) +cfn=(44) +calls=2 62 +* 36 ++2 8 ++1 2 +-60 57 ++4 57 ++5 38 +fi=(5) +133 19 +fi=(4) +382 38 +fi=(5) +133 38 +fi=(4) +330 6 ++1 4 +fi=(5) +133 2 +fi=(4) +331 2 +fi=(5) +133 4 +fi=(4) +322 8 ++1 4 +fi=(5) +133 4 +fi=(4) +323 4 +fi=(5) +133 8 ++36 9 ++2 15 ++8 6 ++1 3 +-1 3 ++1 3 +fi=(4) ++88 3 +fi=(5) +-89 6 +fi=(4) ++89 3 ++18 6 ++7 84 +cfi=(6) +cfn=(162) +calls=3 716 +* 4119 +* 12 ++2 9 ++3 1 +-3 2 ++3 3 ++6 6 +-11 24 +fi=(5) +169 12 ++14 2 +fi=(4) +304 12 ++85 9 +-96 24079 +fe=(39) + +fl=(20) +fn=(72) fillin_rpath +491 3 ++2 1 +-2 11 ++4 3 +cfi=(15) +cfn=(74) +calls=1 320 +* 240 +* 3 +cfi=(15) +cfn=(74) +calls=1 320 +* 8 +* 6 ++3 2 +cfi=(9) +cfn=(18) +calls=1 29 +* 44 ++4 1 +-4 1 ++4 1 ++7 4 ++5 2 ++3 3 ++4 17 ++1 8 ++18 3 ++4 2 +-1 1 ++2 1 +-1 1 +-1 2 +cfi=(15) +cfn=(38) +calls=1 95 +* 29 ++3 1 +-3 1 ++3 3 ++5 1 ++1 2 +-2 1 ++2 2 +cfi=(22) +cfn=(66) +calls=1 62 +* 31 ++3 1 +-3 1 ++1 1 ++2 2 ++6 4 ++1 2 +-73 5 ++73 2 +-73 1 ++73 3 ++1 1 +-1 3 ++1 1 +-1 12 ++1 2 +-1 6 ++4 1 +-1 2 ++1 1 ++7 1 ++1 1 ++3 3 ++5 1 ++3 9 +-14 2 + +fn=(90) +2276 450 ++7 45 +-7 135 ++7 45 ++1 90 ++3 270 ++12 706 +-12 1059 ++5 1143 ++1 762 ++2 1143 +cfi=(28) +cfn=(92) +calls=381 305 +* 24020 +* 762 +2570 405 +2322 17 +-1 85 ++11 51 ++26 34 +-2 17 ++2 17 +cfi=(24) +cfn=(70) +calls=17 26 +* 563 +* 34 +2501 6 +cfn=(94) expand_dynamic_string_token +calls=1 421 +* 231 ++1 1 +-3 1 ++4 1 +-1 1 ++4 9 +cfn=(96) open_verify +calls=1 1857 +* 413 ++3 1 +-3 1 ++3 1 ++12 68 ++2 34 ++45 17 +-1 17 ++1 136 +-1 17 ++1 51 +cfn=(102) _dl_map_object_from_fd +calls=17 916 +* 27849 +* 34 +2321 34 ++41 32 +cfi=(9) +cfn=(18) +calls=16 29 +* 826 +* 16 ++2 16 +-2 16 ++2 16 ++7 64 ++35 32 ++1 240 +cfn=(118) open_path +calls=16 2127 +* 4405 ++6 16 +-6 16 ++6 16 ++80 32 +-80 32 +689 48 ++3 6 +2414 6 +692 6 ++3 18 +2421 64 ++5 32 +cfi=(33) +cfn=(122) +calls=16 183 +* 18411 ++2 16 +-2 16 ++2 16 ++5 48 ++8 32 ++27 144 +cfn=(96) +calls=16 1857 +* 6937 ++3 16 +-3 16 ++3 16 +161 32 +cfi=(9) +cfn=(18) +calls=16 29 +* 1238 +* 16 ++1 48 +cfi=(15) +cfn=(38) +calls=16 -67 +* 464 ++2 48 ++3 48 +cfi=(16) +cfn=(44) +calls=16 62 +* 958 +2474 16 +-1 16 ++1 16 +-94 16 +-5 32 ++5 16 ++3 32 +-3 32 ++3 64 +-3 96 +689 96 ++3 6 +2381 6 +692 6 ++3 18 +2395 64 ++1 112 +689 48 ++9 12 +2300 1059 ++3 268 ++2 268 +-1 536 ++1 268 +cfi=(17) +cfn=(52) +calls=268 135 +* 7021 +* 536 +698 12 + +fn=(96) +1857 432 ++36 36 +-36 72 ++36 142 ++21 144 +cfi=(21) +cfn=(98) +calls=36 82 +* 294 ++1 36 +-1 36 ++1 36 ++11 51 +-1 17 ++1 34 +cfi=(21) +cfn=(100) read +calls=17 82 +* 85 ++7 17 +-7 34 ++7 17 ++16 68 +cfi=(12) +cfn=(28) +calls=17 322 +* 1309 +* 34 ++2 17 +-2 34 ++4 68 +cfi=(12) +cfn=(28) +calls=17 322 +* 1190 +-4 34 ++60 34 ++5 34 ++2 51 ++6 34 ++7 17 ++1 17 +-1 68 ++1 51 ++1 34 ++15 965 ++2 310 ++4 48 ++1 16 +-1 16 ++14 16 ++1 16 +-1 16 ++1 16 +-1 16 ++1 16 +-2 16 ++4 48 ++5 5 ++1 5 +-13 20 +cfi=(12) +cfn=(28) +calls=5 322 +* 350 +* 64 +cfi=(12) +cfn=(28) +calls=16 322 +* 1200 +* 42 ++16 10 ++6 5 +-3 5 ++1 5 ++1 5 ++1 10 ++1 15 +-4 5 ++1 5 ++1 5 +-1 15 +-1 5 ++4 10 ++28 324 +1905 22 + +fn=(102) +916 187 ++11 17 +-11 17 ++11 17 +-11 34 ++11 17 +cfi=(25) +cfn=(76) +calls=17 52 +* 153 ++4 51 +-4 17 ++4 17 +cfi=(29) +cfn=(104) +calls=17 37 +* 170 +* 34 ++11 119 ++1 51 +-1 510 ++1 680 ++17 34 ++25 51 ++10 34 ++22 68 ++31 34 +928 17 +1051 119 +cfi=(13) +cfn=(30) +calls=17 63 +* 7602 ++1 17 +-1 17 ++1 17 ++11 17 ++2 17 +-2 17 ++5 17 +-4 17 +-1 17 ++4 17 +-2 17 ++2 17 +-3 17 ++5 17 +-2 17 ++1 51 ++25 17 ++8 17 +-27 17 ++19 85 ++8 51 +-8 17 ++8 34 +-8 17 ++8 51 ++89 34 +-95 17 +-1 17 +-10 17 +1190 51 +-88 220 ++6 34 ++1 68 +-8 1048 ++1 743 ++60 12 ++4 4 ++1 4 ++1 4 +-1 4 ++1 8 ++3 12 ++1 4 ++3 4 +-3 4 ++7 16 ++6 4 +cfi=(34) +cfn=(128) _dl_next_tls_modid +calls=4 51 +* 32 +* 12 ++1 4 +-73 10 ++1 5 +1244 32 ++1 48 ++1 16 +-6 34 ++1 17 +1119 170 ++6 68 ++1 34 +-1 136 ++10 68 +-2 34 ++1 34 ++4 34 +-4 34 +-1 68 ++1 34 +-1 34 ++2 34 +-1 34 ++3 34 +-1 34 ++3 34 ++4 34 +-7 34 ++2 34 ++1 34 ++4 34 ++1 85 ++5 119 ++10 17 +-10 119 ++10 17 ++90 34 ++13 17 +1064 17 +1262 17 +-3 17 ++3 51 +1064 17 +1262 17 ++2 17 +-2 17 ++2 17 ++14 34 ++5 102 +cfi=(23) +cfn=(68) +calls=17 82 +* 102 ++4 17 +-4 17 ++4 34 ++7 34 ++1 17 ++2 17 +-3 17 ++1 17 ++2 17 ++10 17 ++35 102 ++1 54 ++2 68 ++7 136 ++6 17 ++2 17 +-2 17 ++1 17 ++2 17 +-1 17 ++1 17 +-1 68 ++8 34 ++3 34 ++11 136 +cfi=(30) +cfn=(108) +calls=17 44 +* 2767 ++1 102 ++5 34 ++15 34 +-73 170 ++2 68 ++2 170 +cfi=(23) +cfn=(68) +calls=17 82 +* 102 +* 34 +-30 17 +-1 85 +cfi=(23) +cfn=(106) +calls=17 82 +* 85 +* 17 +1407 17 +-77 17 ++77 34 ++9 34 +fi=(3) +115 17 +fe=(20) +1416 17 +fi=(3) +115 17 ++6 17 +-2 17 ++2 34 ++7 17 ++5 17 ++3 17 +-7 17 +fe=(20) +913 34 +fi=(3) +129 336 ++10 84 +-18 252 ++8 299 ++10 299 +-18 897 ++18 16 +-18 48 ++2 798 ++5 400 ++2 64 ++16 34 ++20 57 ++1 68 ++1 68 ++1 68 ++2 68 ++5 68 ++1 67 ++1 67 ++6 51 ++5 34 ++7 34 ++1 51 ++16 51 ++5 6 ++2 6 +-2 12 ++2 6 ++1 1 ++1 12 ++2 12 ++3 51 ++2 6 ++2 6 ++3 34 +fe=(20) +1422 68 ++16 51 ++19 34 ++2 85 ++55 51 ++1 8 ++3 8 +cfi=(21) +cfn=(112) +calls=4 82 +* 20 +* 26 +cfi=(21) +cfn=(112) +calls=13 82 +* 65 +* 34 ++8 34 ++3 51 ++2 17 +-2 17 ++2 17 ++16 34 +cfi=(6) +cfn=(10) +calls=17 861 +* 449 ++4 34 ++19 34 ++4 17 +-4 17 ++8 17 +-8 17 ++4 17 ++4 17 ++6 51 +cfi=(13) +cfn=(46) +calls=17 34 +* 1224 ++4 51 ++20 153 +-56 34 ++1 4 ++4 2 ++4 2 +-3 1 ++3 3 +cfi=(35) +cfn=(130) +calls=1 49 +* 69 ++4 4 +fi=(3) +133 64 ++3 64 ++1 16 ++1 48 +fe=(20) +1346 60 ++2 12 +-1 48 ++1 48 +-1 24 ++3 48 ++42 32 +cfi=(23) +cfn=(68) +calls=4 82 +* 24 ++3 8 + +fn=(94) +421 7 ++10 1 +-10 1 ++10 1 +-10 1 ++10 1 +cfi=(24) +cfn=(70) +calls=1 26 +* 43 +* 2 +161 2 +cfi=(9) +cfn=(18) +calls=1 29 +* 81 +* 1 ++1 2 +cfi=(15) +cfn=(38) +calls=1 -67 +* 29 ++2 2 ++3 2 +446 3 +167 1 +446 3 +167 1 +cfi=(16) +cfn=(44) +calls=1 62 +* 47 + +fn=(60) +712 1 ++15 2 +-15 8 ++15 3 +cfi=(7) +cfn=(62) _dl_important_hwcaps +calls=1 354 +* 351 ++5 1 +-5 1 ++5 1 +cfi=(15) +cfn=(38) +calls=1 95 +* 29 ++1 1 +-1 1 +-1 1 ++2 1 ++8 1 +-1 1 ++1 1 +-1 4 ++5 2 +cfi=(15) +cfn=(38) +calls=1 95 +* 52 ++2 1 +-3 1 ++3 1 ++17 1 ++12 1 +-14 1 ++12 1 +-5 1 +-5 1 ++3 1 ++9 1 +-65 1 ++42 1 ++1 1 ++13 1 +-56 1 ++54 1 +-54 1 ++57 1 +-12 1 +-45 1 ++62 8 +-62 20 ++61 8 +-61 4 ++61 12 ++2 4 +-1 12 ++1 4 +-1 48 ++1 8 +-1 24 ++3 18 +-14 3 ++14 3 +-12 3 +-2 3 ++2 3 ++4 3 +-3 3 ++2 3 ++2 3 +-1 6 ++4 3 +-3 3 ++3 6 +-3 3 +-7 6 ++25 1 +-11 1 ++6 1 ++1 1 ++5 2 ++2 4 ++2 3 ++32 5 ++8 3 +cfi=(24) +cfn=(70) +calls=1 26 +* 34 +* 2 ++2 2 +cfi=(9) +cfn=(18) +calls=1 29 +* 52 +* 8 +cfi=(16) +cfn=(44) +calls=1 62 +* 31 +* 1 ++17 8 ++2 1 ++1 3 ++1 1 +-4 3 ++2 13 ++1 39 ++1 13 +-4 40 ++8 1 +cfi=(15) +cfn=(38) +calls=1 95 +* 29 ++1 1 +-2 1 ++2 1 ++6 7 +cfn=(72) +calls=1 491 +* 507 ++4 3 ++6 1 ++4 8 +-72 1 +-2 1 ++2 2 ++11 2 + +fn=(118) +2127 128 ++1 16 +-1 80 ++7 16 +-7 16 ++1 16 ++6 16 ++5 32 ++52 16 +-52 32 ++52 16 +-59 16 +-1 16 ++60 16 +-52 96 ++12 16 +-9 16 ++9 16 ++7 48 ++1 32 +-1 16 +cfi=(22) +cfn=(66) +calls=16 62 +* 496 ++1 16 +-1 16 ++1 32 ++20 8 +-20 243 ++3 128 +-39 19 ++43 19 +-43 38 ++43 76 +cfi=(22) +cfn=(66) +calls=19 62 +* 295 +* 76 +cfi=(22) +cfn=(66) +calls=19 62 +* 477 +* 19 ++3 19 ++3 38 ++3 133 +cfn=(96) +calls=19 1857 +* 874 +* 19 ++2 57 ++26 60 ++2 45 +-21 8 ++1 36 ++6 8 ++2 12 +-2 4 ++2 4 +cfi=(32) /build/buildd/eglibc-2.15/io/../sysdeps/unix/sysv/linux/wordsize-64/xstat.c +cfn=(120) _xstat +calls=4 37 +* 49 +* 8 ++1 4 ++2 6 ++7 6 +-44 9 ++44 2 +-44 3 ++85 80 ++7 16 +-2 16 ++2 48 ++3 48 ++13 16 ++1 144 +-70 3 + +fl=(10) /build/buildd/eglibc-2.15/elf/../misc/sbrk.c +fn=(20) sbrk +35 3 ++8 1 +-8 1 ++8 5 ++4 2 ++11 5 + +fl=(27) /build/buildd/eglibc-2.15/setjmp/../sysdeps/x86_64/setjmp.S +fn=(86) __sigsetjmp +26 45 ++2 45 ++1 90 ++1 45 ++4 45 ++1 45 ++1 45 ++1 45 ++1 45 ++2 90 ++2 45 ++1 45 ++2 90 ++2 45 ++4 45 ++1 45 + +fl=(72) +fn=(310) +27 130 ++7 13 +-7 13 ++20 13 +-13 52 ++7 26 ++1 23 +-8 46 ++2 87 ++2 87 +-2 87 ++1 348 ++1 174 +cfi=(70) +cfn=(312) +calls=87 152 +* 603 ++1 174 ++1 61 +-6 122 ++13 10 ++1 117 + +fl=(195) /build/buildd/eglibc-2.15/elf/dl-fini.c +fn=(1710) _dl_sort_fini +34 9 ++2 1 +-2 2 ++50 1 +-48 1 ++5 1 ++1 1 +-1 2 ++1 1 ++1 1 +-1 1 ++1 2 +-1 3 ++1 3 +cfi=(30) +cfn=(108) +calls=1 +1 +* 20 ++15 5 ++62 4 ++3 102 +cfi=(30) +cfn=(108) +calls=17 -79 +* 297 +* 17 +-75 17 +-1 17 ++1 17 +-1 17 ++5 17 +-5 17 ++5 34 +-4 6 +-1 6 ++1 6 +-1 6 ++5 6 +-5 6 ++5 58 ++6 23 ++1 90 ++2 88 ++1 44 +-1 652 ++1 346 ++3 1416 +-1 1896 ++31 540 ++21 180 +-57 360 ++61 68 ++3 1 ++4 8 +-57 65 +cfi=(35) +cfn=(130) +calls=5 -21 +* 369 ++4 5 +-2 5 ++2 15 +-2 5 ++2 5 ++8 10 ++7 30 +cfi=(35) +cfn=(130) +calls=5 -40 +* 300 ++1 15 ++2 5 + +fn=(1708) _dl_fini +133 5 ++19 1 +-19 1 ++12 1 +-12 2 ++13 1 ++9 4 +-23 5 ++26 2 +cob=(5) +cfi=(109) /build/buildd/eglibc-2.15/nptl/pthread_mutex_lock.c +cfn=(932) pthread_mutex_lock +calls=1 47 +* 27 ++3 1 ++3 2 ++2 6 ++11 4 ++2 2 ++3 9 ++11 3 ++2 38 ++2 38 ++2 38 ++1 19 ++1 19 ++4 19 +-12 57 ++14 2 ++5 5 +cfn=(1710) +calls=1 34 +* 7245 ++9 2 +cob=(5) +cfi=(114) /build/buildd/eglibc-2.15/nptl/pthread_mutex_unlock.c +cfn=(952) pthread_mutex_unlock +calls=1 +68 +* 28 ++4 4 ++2 2 ++2 3 +-2 36 ++2 54 ++3 38 ++3 57 ++4 4 ++7 34 ++4 8 ++1 2 ++1 2 +-1 2 ++2 8 ++1 8 +cob=(8) +cfi=(200) /build/buildd/eglibc-2.15/dlfcn/dlerror.c +cfn=(2098) fini +calls=1 -46 +* 11 +cob=(15) +cfi=(93) +cfn=(1906) 0x00000000000034c0 +calls=1 0 +* 1994 +-1 8 ++5 51 ++1 51 +cob=(2) +cfi=(14) +cfn=(2142) +calls=1 0 +* 2008 +cob=(2) +cfi=(14) +cfn=(2122) +calls=1 0 +* 2008 +cob=(2) +cfi=(14) +cfn=(2102) +calls=1 0 +* 2008 +cob=(2) +cfi=(14) +cfn=(2078) +calls=1 0 +* 2008 +cob=(2) +cfi=(14) +cfn=(2060) +calls=1 0 +* 2008 +cob=(2) +cfi=(14) +cfn=(2040) +calls=1 0 +* 2008 +cob=(2) +cfi=(14) +cfn=(2020) +calls=1 0 +* 2008 +cob=(2) +cfi=(14) +cfn=(2002) +calls=1 0 +* 2008 +cob=(2) +cfi=(14) +cfn=(1972) +calls=1 0 +* 3627 +cob=(2) +cfi=(14) +cfn=(1952) +calls=1 0 +* 2008 +cob=(2) +cfi=(14) +cfn=(1932) +calls=1 0 +* 2008 +cob=(2) +cfi=(14) +cfn=(1914) +calls=1 0 +* 2008 +cob=(2) +cfi=(14) +cfn=(1786) +calls=1 0 +* 13575 +cob=(2) +cfi=(14) +cfn=(1766) +calls=1 0 +* 2008 +cob=(2) +cfi=(14) +cfn=(1746) +calls=1 0 +* 2008 +cob=(2) +cfi=(14) +cfn=(1722) +calls=1 0 +* 1409 +cob=(2) +cfi=(14) +cfn=(1712) +calls=1 0 +* 22 ++5 95 ++16 38 +-55 38 +-70 3 +285 5 +-49 34 ++3 30 ++52 2 ++7 8 + +fl=(7) +fn=(62) +354 1 ++3 1 +-3 7 ++3 1 +-1 1 ++1 1 ++9 1 +-12 4 ++12 1 ++10 1 +-1 1 +-1 1 ++2 3 ++44 5 +cfi=(21) +cfn=(64) +calls=1 82 +* 11 +* 4 +611 9 +418 1 ++17 1 +-17 1 ++17 5 ++3 2 ++27 2 ++8 2 ++2 1 ++1 1 +-1 2 ++1 4 ++4 1 ++4 1 +-4 1 ++1 1 +-1 1 ++4 1 ++4 4 +-1 2 ++4 6 ++1 2 ++18 8 ++1 1 +-1 2 ++1 3 +cfi=(15) +cfn=(38) +calls=1 95 +* 29 ++1 1 +-1 1 ++1 1 ++7 2 ++25 1 +-3 3 ++3 1 ++28 4 +-5 1 ++5 4 ++1 1 +-1 6 ++1 3 +-1 9 ++10 1 +352 1 +577 2 ++5 1 +352 2 +577 3 ++3 1 +-3 1 ++3 1 +-3 3 ++3 1 +-3 1 ++3 7 ++1 12 ++1 4 +-1 4 ++1 8 +-2 4 ++1 8 +-1 14 ++4 4 ++3 1 ++2 2 +-1 1 +-1 2 ++2 4 ++13 3 +-13 1 ++13 4 ++1 1 ++2 2 +-3 3 ++1 1 ++2 2 ++3 3 ++2 1 +448 2 +-12 2 +546 3 +cfi=(22) +cfn=(66) +calls=1 62 +* 22 +* 1 ++1 1 +-1 1 ++1 2 +cfi=(22) +cfn=(66) +calls=1 62 +* 22 +* 5 + +fn=(12) +89 7 ++25 1 +-1 1 ++1 1 +-25 1 ++25 134 ++3 1 +-3 1 +-23 1 ++27 1 +-28 1 ++27 1 ++3 1 +-6 1 ++6 10 ++1 1 +-1 3 ++1 102 ++3 3 +-4 1 +-34 2 ++34 20 +-34 34 ++34 60 +fi=(18) +-84 2 +cfi=(8) +cfn=(14) +calls=1 -7 +* 11 +fi=(4) +224 5 +fe=(7) ++5 2 +cfi=(10) +cfn=(20) +calls=1 35 +* 17 +* 3 ++12 3 ++3 5 +cfi=(2) +cfn=(22) +calls=1 896 +* 2927806 ++2 9 +-67 1 ++1 1 +-26 1 ++1 1 ++8 1 ++1 1 +-4 1 ++1 1 +-4 1 ++1 1 +-25 1 ++1 1 +-4 1 ++1 1 +-4 1 ++1 1 ++99 1 +cfi=(9) +cfn=(18) +calls=1 29 +* 35 +* 2 + +fn=(240) +252 1 + +fl=(18) +fn=(56) +67 7 ++2 4 ++85 9 +-45 2 +cfi=(19) /build/buildd/eglibc-2.15/posix/../sysdeps/unix/syscall-template.S +cfn=(58) uname +calls=1 -27 +* 5 +* 1 ++15 1 +-15 1 ++20 1 +-1 1 ++3 12 ++4 3 +-2 9 ++2 9 ++7 3 +-1 3 ++4 3 +-2 3 ++2 10 ++5 2 + +fl=(21) +fn=(98) +82 148 ++1 37 ++1 114 + +fn=(100) +82 68 ++1 17 + +fn=(112) +82 72 ++1 18 + +fn=(64) +82 72 ++1 18 ++1 108 + +fl=(1) ??? +fn=(0) 0x00000000000016b0 +0 2 +cfi=(2) +cfn=(2) +calls=1 368 +0 2929143 +0 14 +cfi=(61) /build/buildd/eglibc-2.15/elf/dl-init.c +cfn=(248) _dl_init +calls=1 93 +0 250181 +0 3 +cob=(20) +cfi=(153) +cfn=(1444) 0x00000000004019f0 +calls=1 0 +0 1301836400 + +fl=(50) +fn=(200) +74 154 ++6 154 +-6 77 ++6 77 +-6 231 ++3 77 +-1 77 ++6 77 +-5 77 ++3 77 ++1 77 +-1 77 ++1 77 ++1 77 +-1 154 ++6 77 +-6 231 ++6 77 ++4 231 ++4 77 +-2 77 ++2 154 ++4 152 ++1 304 ++2 228 ++7 231 +-1 77 ++8 154 ++3 693 +cfi=(6) +cfn=(162) +calls=77 716 +* 131872 +* 77 ++4 231 ++4 308 ++6 539 ++8 77 ++8 308 ++4 231 +fi=(4) ++81 77 +fe=(50) +-77 462 +fi=(99) /build/buildd/eglibc-2.15/elf/../sysdeps/x86_64/dl-irel.h +33 8 +cob=(3) +cfi=(159) /build/buildd/eglibc-2.15/string/../sysdeps/x86_64/multiarch/strchr.S +cfn=(1492) index +calls=1 -4 +* 7 +cob=(3) +cfi=(47) +cfn=(184) +calls=2 -2 +* 152 +cob=(3) +cfi=(137) /build/buildd/eglibc-2.15/string/../sysdeps/x86_64/multiarch/strstr-c.c +cfn=(1162) strstr +calls=1 -18 +* 10 +cob=(3) +cfi=(102) /build/buildd/eglibc-2.15/posix/../sysdeps/x86_64/multiarch/sched_cpucount.c +cfn=(788) __sched_cpucount +calls=1 +3 +* 10 +cob=(3) +cfi=(100) /build/buildd/eglibc-2.15/string/../sysdeps/x86_64/multiarch/memset.S +cfn=(776) memset +calls=3 -6 +* 21 +* 8 +fe=(50) + +fl=(30) +fn=(108) +44 57 ++1 57 ++1 57 ++1 2 ++1 2 ++2 55 ++1 55 ++1 55 ++1 55 ++2 55 ++1 55 ++2 44 ++5 44 ++1 44 ++1 44 ++1 44 ++1 44 +315 2 ++1 2 ++1 2 ++1 2 +-2 2 ++1 2 ++1 2 ++4 1 ++2 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 +-15 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 +-12 2 ++1 2 ++1 2 ++1 2 ++1 2 ++1 2 ++1 2 ++1 2 ++1 2 ++1 2 ++1 2 ++1 2 ++1 2 +-11 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 +-6 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 +-4 4 ++1 4 ++1 4 ++1 4 ++1 4 +-3 1 ++1 1 ++1 1 ++1 1 +-2 8 ++1 8 ++1 8 +-1 4 ++1 4 ++24 2 ++1 2 ++1 2 +-1 2 ++1 2 ++22 2 ++1 2 ++1 2 ++1 2 ++1 2 +-3 2 ++1 2 ++1 2 ++1 2 +-2 2 ++1 2 ++1 2 ++12 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 +-11 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 +-2 2 ++1 2 ++1 2 +-1 2 ++1 2 ++23 2 ++1 2 ++1 2 ++1 2 +-2 2 ++1 2 ++1 2 ++23 2 ++1 2 ++1 2 ++1 2 +-2 2 ++1 2 ++1 2 ++23 2 ++1 2 ++1 2 ++1 2 ++1 2 +-3 2 ++1 2 ++1 2 ++1 2 ++8 11 ++1 11 ++1 11 ++1 11 ++1 11 ++1 11 ++1 11 ++5 11 ++1 11 ++1 11 ++1 11 ++1 11 ++35 2 ++1 2 ++1 2 +-1 4 ++1 4 ++35 1 ++1 1 ++1 2 +1214 1 ++1 1 +593 10 +1214 10 ++1 21 ++4 11 ++1 11 ++1 22 ++5 11 ++2 11 ++1 11 ++1 11 ++1 11 ++1 11 ++1 11 ++1 11 ++1 11 ++1 11 ++1 11 ++1 11 ++1 11 ++1 11 ++1 11 ++1 11 ++1 11 ++2 11 ++2 11 +-21 102 ++2 102 ++1 102 ++1 102 ++1 102 ++1 102 ++1 102 ++1 102 ++1 102 ++1 102 ++1 102 ++1 102 ++1 102 ++1 102 ++1 102 ++1 102 ++1 102 ++2 102 ++2 102 ++3 11 ++1 11 ++6 11 ++1 11 ++1 11 ++1 11 ++1 11 + +fl=(71) +fn=(304) +53 1 +-8 1 ++8 1 ++3 1 +-3 1 ++3 5 ++91 2 ++12 1 ++1 1 ++2 1 ++1 2 +-98 1 +-33 2 ++6 1 +-6 2 ++6 1 ++1 1 ++30 1 +-30 1 ++30 1 +-37 1 ++6 1 ++27 1 +-26 1 ++26 1 ++4 1 ++1 1 +-38 2 ++33 1 ++5 1 ++5 1 ++2 1 +-2 1 ++3 1 ++1 2 ++33 1 +-54 1 ++54 1 ++4 1 +-37 8 + +fl=(11) +fn=(26) +31 3 ++1 3 ++2 11 ++2 84 ++11 40 +-13 120 ++17 1 +-14 22 ++5 2 +-3 2 ++3 2 ++2 2 + +fl=(61) +fn=(250) call_init.part.0 +35 18 ++21 18 +-21 144 ++21 18 ++8 54 ++2 34 ++4 68 +cob=(2) +cfi=(14) +cfn=(1422) +calls=1 -70 +* 29 +cob=(2) +cfi=(14) +cfn=(1402) +calls=1 -70 +* 29 +cob=(2) +cfi=(14) +cfn=(1382) +calls=1 -70 +* 29 +cob=(2) +cfi=(14) +cfn=(878) +calls=1 -70 +* 205209 +cob=(2) +cfi=(14) +cfn=(694) +calls=1 -70 +* 29 +cob=(2) +cfi=(14) +cfn=(674) +calls=1 -70 +* 29 +cob=(2) +cfi=(14) +cfn=(654) +calls=1 -70 +* 29 +cob=(2) +cfi=(14) +cfn=(480) +calls=1 -70 +* 29 +cob=(2) +cfi=(14) +cfn=(460) +calls=1 -70 +* 29 +cob=(2) +cfi=(14) +cfn=(440) +calls=1 -70 +* 29 +cob=(2) +cfi=(14) +cfn=(420) +calls=1 -70 +* 29 +cob=(2) +cfi=(14) +cfn=(400) +calls=1 -70 +* 29 +cob=(2) +cfi=(14) +cfn=(378) +calls=1 -70 +* 29 +cob=(2) +cfi=(14) +cfn=(358) +calls=1 -70 +* 29 +cob=(2) +cfi=(14) +cfn=(338) +calls=1 -70 +* 29 +cob=(3) +cfi=(73) /build/buildd/eglibc-2.15/csu/../sysdeps/unix/sysv/linux/x86_64/../init-first.c +cfn=(314) _init +calls=1 -17 +* 217 +cob=(2) +cfi=(14) +cfn=(252) +calls=1 -70 +* 9442 ++4 18 ++1 36 ++6 10 ++2 10 +-2 5 ++3 10 +-49 28 ++50 32 +cob=(15) +cfi=(93) +cfn=(866) 0x00000000000040c0 +calls=1 -85 +* 2177 +cob=(12) +cfi=(89) +cfn=(648) 0x000000000005a690 +calls=1 -85 +* 21 +cob=(12) +cfi=(89) +cfn=(646) 0x000000000005a460 +calls=1 -85 +* 54 +cob=(12) +cfi=(89) +cfn=(620) 0x000000000005a3a0 +calls=1 -85 +* 49 +cob=(12) +cfi=(89) +cfn=(594) 0x000000000005a2e0 +calls=1 -85 +* 49 +cob=(12) +cfi=(89) +cfn=(564) 0x000000000005a2c0 +calls=1 -85 +* 3296 +cob=(12) +cfi=(89) +cfn=(540) 0x000000000005a250 +calls=1 -85 +* 3586 +cob=(3) +cfi=(80) /build/buildd/eglibc-2.15/string/../sysdeps/x86_64/multiarch/../cacheinfo.c +cfn=(328) init_cacheinfo +calls=1 552 +* 2865 +* 20 +cob=(15) +cfi=(93) +cfn=(714) 0x0000000000003820 +calls=1 -85 +* 18689 +cob=(12) +cfi=(89) +cfn=(500) 0x000000000005a150 +calls=1 -85 +* 103 +cob=(8) +cfi=(85) /build/buildd/eglibc-2.15/dlfcn/dlfcn.c +cfn=(398) init +calls=1 -55 +* 3 +cob=(3) +cfi=(79) /build/buildd/eglibc-2.15/elf/dl-altinit.c +cfn=(326) dlinit_alt +calls=1 -52 +* 4 +cfi=(70) +cfn=(302) +calls=1 552 +* 2925 +-1 13 ++1 13 +-1 13 ++3 108 + +fn=(248) +93 11 ++1 1 ++1 1 ++3 3 ++7 2 ++27 2 ++1 6 ++1 19 +-1 19 ++1 38 +-97 57 ++9 18 +-3 36 ++3 36 ++5 34 ++1 68 +cfn=(250) +calls=17 -17 +* 240294 ++81 34 ++7 8 +-88 4 +-5 3 +-10 3 ++9 1 +-3 2 ++3 2 ++5 2 ++1 4 +cfn=(250) +calls=1 -17 +* 9471 ++49 2 + +fl=(24) +fn=(70) +26 63 ++1 63 ++1 63 ++1 63 ++1 63 ++1 63 ++1 63 ++1 63 ++1 63 ++1 63 ++1 63 ++1 63 ++1 63 ++1 63 ++1 63 ++1 63 ++1 63 ++1 63 ++1 63 ++1 63 ++1 63 ++2 51 ++1 51 ++1 51 ++1 51 ++1 51 ++1 51 ++1 51 ++1 51 ++1 51 ++2 63 ++1 63 ++1 1 ++1 1 ++1 1 ++1 1 ++1 62 ++1 63 + +fl=(34) +fn=(148) +113 7 ++6 3 ++3 2 ++36 3 ++2 9 +-2 28 ++2 6 ++3 4 +-1 4 ++5 8 +-4 4 +-1 4 ++17 4 +-17 4 ++3 8 ++2 4 ++12 4 +-12 8 ++16 20 ++2 4 ++1 4 +-1 8 ++4 3 ++6 1 +-12 2 ++12 3 +-12 6 ++15 6 ++1 1 ++51 1 ++1 8 + +fn=(188) +817 4 ++9 4 +-9 12 ++6 8 ++8 12 ++42 4 +-1 12 ++1 4 +-1 4 ++1 4 ++1 16 + +fn=(238) +377 7 ++1 1 +-1 1 ++1 1 ++4 1 ++8 1 +-5 1 ++5 1 +-6 1 +-2 1 ++8 3 ++5 6 ++6 3 +-25 5 ++47 8 ++1 16 ++2 8 ++1 8 ++8 16 ++1 4 ++1 12 +cfi=(22) +cfn=(66) +calls=4 62 +* 74 +* 20 +cfi=(30) +cfn=(108) +calls=4 44 +* 94 +* 12 +-42 12 ++6 16 ++3 4 ++1 8 ++6 12 ++3 4 +-1 8 ++38 2 ++3 9 + +fn=(128) +51 4 ++3 12 ++48 8 ++4 8 + +fn=(150) +329 1 ++13 1 +-13 2 ++2 1 ++11 2 +cfi=(15) +cfn=(42) +calls=1 53 +* 49 ++1 1 +-1 1 ++1 1 ++7 1 ++4 306 +-58 1 ++1 3 +cfi=(15) +cfn=(34) +calls=1 111 +* 38 ++1 2 +-2 2 ++11 2 ++64 5 + +fn=(266) _dl_get_tls_static_info +321 2 ++1 2 ++1 1 + +fl=(17) +fn=(52) +135 7653 ++1 7653 ++1 7653 ++1 3075 ++1 3075 ++1 3075 ++1 3075 +cfn=(53) strcmp'2 +calls=3075 -6 +* 155564 ++5 4578 ++1 4578 ++1 4578 ++1 4578 + +fn=(53) +135 21766 ++1 21766 ++1 21766 ++1 20292 ++1 20292 ++1 20292 ++1 20292 +cfn=(53) +calls=18691 -6 +* 724590 ++2 1601 ++1 1601 ++2 1474 ++1 1474 ++1 1474 ++1 1474 + +fl=(37) +fn=(142) _dl_check_map_versions +180 171 ++15 19 +-15 38 ++15 38 ++2 19 ++3 19 +-3 19 ++2 19 ++1 19 ++2 19 +-3 19 ++3 19 ++3 51 ++4 17 +-4 17 ++4 85 ++17 17 +62 17 +226 34 +62 102 +226 16 +62 16 +226 32 +62 162 ++1 270 +-1 540 ++2 909 +cfi=(28) +cfn=(92) +calls=303 305 +* 19040 +* 606 +230 66 ++4 99 ++5 132 ++20 54 +-16 895 +cfn=(144) match_symbol +calls=5 82 +* 709 +* 246 +cfn=(144) +calls=82 82 +* 14838 +* 87 ++8 174 +-8 174 ++11 261 ++9 132 ++5 48 ++1 16 +-80 2 +-8 2 ++96 38 ++3 36 ++10 81 +-7 162 +-3 162 ++6 243 +-3 18 +-3 18 ++6 27 ++8 38 ++87 171 +-81 72 +cfi=(15) +cfn=(34) +calls=18 111 +* 730 ++1 18 +-2 18 ++2 18 ++11 18 ++2 18 +-5 18 ++3 36 ++2 18 ++3 68 ++4 99 ++18 54 +-15 162 ++2 162 +-2 99 ++2 99 ++2 87 ++1 87 +-1 261 ++1 87 ++1 87 +-2 87 ++2 174 ++1 261 ++3 261 ++8 99 ++5 16 ++1 16 ++4 36 ++3 45 ++20 81 +-14 81 +-2 81 ++2 90 +-2 9 ++2 9 ++4 81 ++2 81 +-1 162 ++1 81 +-1 243 ++1 81 ++1 81 ++3 279 + +fn=(144) +82 870 ++9 87 +-8 87 +-1 261 ++1 87 ++8 87 ++6 261 ++15 87 ++1 174 ++2 87 ++5 174 ++14 1286 ++12 1668 ++4 556 +-30 1112 ++16 87 ++3 435 +cfi=(17) +cfn=(52) +calls=87 -4 +* 7097 +* 261 ++3 87 ++32 696 + +fn=(140) +387 5 ++2 1 +-2 2 ++4 4 ++1 57 ++1 76 +cfn=(142) +calls=19 180 +* 46029 +-2 19 ++1 76 +-1 38 ++5 7 + +fl=(32) +fn=(120) +37 4 +-1 4 ++1 4 ++1 24 ++4 1 +-4 12 + +fl=(26) +fn=(82) +160 315 ++9 45 ++2 45 +cfi=(2) +cfn=(84) +calls=45 804 +* 90 +* 45 ++1 45 ++2 90 +-2 45 ++2 45 +cfi=(27) +cfn=(86) +calls=45 26 +* 855 ++1 45 +-1 45 ++1 45 ++2 90 ++1 45 +-1 45 ++1 45 +cfi=(31) +cfn=(116) +calls=44 62 +* 104308 +cfi=(2) +cfn=(88) +calls=1 631 +* 2375 ++1 135 ++2 45 +-1 90 ++1 45 ++1 90 ++10 180 + +fn=(136) +198 10 ++1 1 +cfi=(2) +cfn=(84) +calls=1 804 +* 2 ++5 1 +-1 1 +-4 1 ++9 1 ++2 1 +-3 1 ++3 1 +cfi=(2) +cfn=(138) +calls=1 663 +* 46324 ++2 1 ++1 1 ++1 8 + +fl=(13) +fn=(30) +63 162 ++1 18 +-1 72 ++1 18 +cfi=(9) +cfn=(18) +calls=18 -35 +* 917 ++6 18 +-6 18 ++6 234 ++7 72 +cfi=(15) +cfn=(34) +calls=18 +34 +* 806 ++3 18 +-3 18 ++3 36 ++4 18 +-1 18 +-19 18 ++25 18 +-5 18 ++5 18 +-1 36 ++1 18 +cfi=(16) +cfn=(44) +calls=18 -27 +* 466 ++2 18 +-2 18 ++5 36 +-1 18 ++1 54 ++3 18 +-3 18 ++3 18 ++6 18 ++3 18 +-7 18 ++4 18 ++3 18 +-45 5 ++47 2 +-2 2 ++2 30 +-2 30 ++18 18 +-6 18 ++1 18 +-1 18 ++6 108 ++2 17 ++3 17 +-3 68 ++3 17 ++4 115 ++4 51 ++8 1 ++6 1 +-3 2 ++3 19 +-3 34 ++3 34 ++2 34 +cfi=(9) +cfn=(18) +calls=17 29 +* 1104 +* 17 ++4 17 +-4 17 ++4 17 ++64 17 ++4 162 +-88 51 +-39 36 ++26 2 +-2 1 ++7 4 ++8 3 ++24 34 +cfi=(15) +cfn=(38) +calls=17 -66 +* 493 ++1 17 +-1 17 ++1 51 ++45 51 +cfi=(22) +cfn=(66) +calls=17 62 +* 699 +* 17 ++5 229 ++1 229 +-1 229 ++1 246 +-1 17 ++1 17 ++2 34 ++3 34 + +fn=(46) +34 72 ++2 18 +-2 18 ++2 18 +cfi=(2) +cfn=(48) +calls=18 844 +* 36 ++2 127 ++3 663 ++2 17 ++2 17 ++4 17 ++4 17 +-4 34 ++1 34 ++1 34 ++2 17 ++1 51 +-1 17 +cfi=(2) +cfn=(50) +calls=17 850 +* 34 +-4 1 ++4 1 +-4 2 ++1 2 ++1 2 ++2 1 ++1 3 +-1 1 +cfi=(2) +cfn=(50) +calls=1 850 +* 2 +-5 2 + +fl=(19) +fn=(58) +82 4 ++1 1 + +fl=(23) +fn=(68) +82 245 + +ob=(17) +fl=(150) +fn=(1768) +0 10 +cob=(3) +cfi=(196) +cfn=(1736) +calls=1 31 +0 86 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1895 +0 13 + +fn=(1390) +0 6 + +fn=(1384) +0 6 + +fn=(1396) +0 11 + +ob=(1) +fl=(23) +fn=(68) +83 49 + +fn=(106) +82 140 ++1 35 + +fn=(244) +82 4 ++1 1 + +ob=(5) +fl=(107) /build/buildd/eglibc-2.15/nptl/pthread_attr_setdetachstate.c +fn=(848) pthread_attr_setdetachstate +36 2 ++6 1 ++4 2 + +fl=(105) /build/buildd/eglibc-2.15/nptl/pthread_attr_init.c +fn=(832) pthread_attr_init@@GLIBC_2.2.5 +36 2 ++6 24 ++6 1 +cob=(3) +cfi=(106) /build/buildd/eglibc-2.15/misc/../sysdeps/unix/sysv/linux/getpagesize.c +cfn=(838) getpagesize +calls=1 -18 +* 7 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 -17 +* 1775 +* 2 ++3 3 + +fl=(69) +fn=(2062) +0 10 +cob=(3) +cfi=(196) +cfn=(1736) +calls=1 31 +0 86 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1895 +0 13 + +fn=(290) +0 6 + +fn=(296) +0 11 + +fl=(109) +fn=(932) +47 4 ++3 4 +-3 4 ++3 8 ++1 8 ++3 4 ++2 8 ++5 10 ++1 6 ++65 4 +-2 4 ++5 4 ++1 8 +-67 4 ++5 4 ++13 8 ++2 4 ++1 4 + +fl=(108) /build/buildd/eglibc-2.15/nptl/pthread_key_create.c +fn=(872) pthread_key_create +51 1 +-20 1 ++20 2 +-18 1 ++2 5 ++2 5 ++4 2 ++3 1 ++3 2 + +fl=(128) /build/buildd/eglibc-2.15/nptl/cleanup_defer_compat.c +fn=(1082) _pthread_cleanup_push_defer +31 10 ++1 10 ++1 20 ++2 10 ++3 20 ++17 40 ++2 10 ++1 10 + +fn=(1084) _pthread_cleanup_pop_restore +66 10 ++3 20 ++3 30 ++23 20 ++2 20 + +fl=(97) /build/buildd/eglibc-2.15/nptl/pthread_self.c +fn=(760) pthread_self +27 3 ++1 3 + +fl=(62) +fn=(254) +292 1 ++16 1 +-2 1 +-14 1 ++16 1 +-16 2 ++16 3 ++1 2 ++1 1 ++4 3 ++5 1 ++4 1 ++4 2 +-8 1 ++2 1 ++6 1 ++32 1 +-8 1 ++8 6 ++1 1 +-3 1 ++3 1 ++1 2 ++1 2 ++7 3 ++3 1 +fi=(202) /build/buildd/eglibc-2.15/nptl/../nptl/sysdeps/pthread/list.h +61 1 +fe=(62) +372 1 ++1 1 +fi=(202) +61 1 ++1 1 ++1 1 ++2 1 +fe=(62) +377 2 ++6 1 ++2 2 ++2 2 +-3 1 +-1 1 ++2 19 ++2 2 +cfi=(63) /build/buildd/eglibc-2.15/nptl/../sysdeps/unix/sysv/linux/x86_64/sigaction.c +cfn=(256) __libc_sigaction +calls=1 50 +* 64 ++3 1 ++3 2 +-2 1 +-1 1 ++3 2 +cfi=(63) +cfn=(256) +calls=1 50 +* 64 +fi=(64) /build/buildd/eglibc-2.15/nptl/../sysdeps/unix/sysv/linux/bits/sigset.h +119 1 +fe=(62) +401 1 +fi=(64) +119 1 +fe=(62) +401 5 ++5 3 +cob=(1) +cfi=(34) +cfn=(266) +calls=1 -85 +* 5 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +* 2711 ++3 3 ++4 2 ++5 2 +-5 4 ++5 1 +cob=(3) +cfi=(65) /build/buildd/eglibc-2.15/resource/../sysdeps/unix/syscall-template.S +cfn=(272) getrlimit +calls=1 82 +* 5 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +* 1862 +* 2 ++12 2 ++1 3 ++1 2 ++4 4 ++1 1 ++4 1 +cob=(3) +cfi=(66) /build/buildd/eglibc-2.15/elf/dl-tsd.c +cfn=(278) __libc_dl_error_tsd +calls=1 49 +* 3 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +* 1965 +* 2 +cob=(1) +cfi=(2) +cfn=(84) +calls=1 804 +* 2 +* 1 ++6 1 +-6 1 ++1 1 ++6 1 +-1 1 ++2 1 +-7 1 ++4 1 ++4 1 +-4 1 ++4 1 ++3 1 ++3 1 ++8 2 +-11 1 ++5 1 +-2 1 ++8 1 +-6 1 ++6 1 +cob=(3) +cfi=(67) /build/buildd/eglibc-2.15/nptl/../nptl/sysdeps/unix/sysv/linux/libc_pthread_init.c +cfn=(284) __libc_pthread_init +calls=1 43 +* 443 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +* 2130 ++4 1 +-6 1 ++7 5 +-50 3 ++4 1 ++3 3 +-15 3 + +fl=(98) /build/buildd/eglibc-2.15/nptl/../nptl/sysdeps/unix/sysv/linux/pthread_getaffinity.c +fn=(768) pthread_getaffinity_np@@GLIBC_2.3.4 +32 2 ++5 2 +-5 1 ++5 4 ++1 2 ++4 6 +cob=(3) +cfi=(101) +cfn=(778) +calls=1 +2 +* 28 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 -11 +* 1695 ++2 1 ++1 2 + +fl=(63) +fn=(256) +50 2 ++4 2 +-4 2 ++4 2 ++2 4 ++1 64 ++1 8 ++2 4 ++7 28 ++1 8 ++8 4 + +fl=(199) /build/buildd/eglibc-2.15/nptl/pthread_key_delete.c +fn=(1912) pthread_key_delete +31 2 ++2 4 ++2 2 ++1 4 +-7 4 + +fl=(114) +fn=(952) +289 4 +37 4 +289 4 +37 8 ++1 8 ++3 8 ++5 4 ++3 4 ++3 12 ++1 4 +291 8 +55 4 ++3 6 ++3 2 ++2 2 +-2 8 + +ob=(7) +fl=(83) +fn=(2124) +0 10 +cob=(3) +cfi=(196) +cfn=(1736) +calls=1 31 +0 86 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1895 +0 13 + +fn=(366) +0 6 + +fn=(360) +0 6 + +fn=(372) +0 11 + +ob=(10) +fl=(87) +fn=(2042) +0 10 +cob=(3) +cfi=(196) +cfn=(1736) +calls=1 31 +0 86 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1895 +0 13 + +fn=(428) +0 6 + +fn=(422) +0 6 + +fn=(434) +0 11 + +ob=(15) +fl=(93) +fn=(702) +0 6 + +fn=(696) +0 6 + +fn=(708) +0 11 + +fn=(714) +0 9 +cob=(3) +cfi=(94) /build/buildd/eglibc-2.15/stdlib/getenv.c +cfn=(722) getenv +calls=1 36 +0 301 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1531 +0 6 +cfn=(730) 0x00000000000034d0 +calls=1 0 +0 318 +0 3 +cfn=(730) +calls=1 0 +0 318 +0 4 +cfn=(740) 0x0000000000003590 +calls=1 0 +0 337 +0 4 +cfn=(740) +calls=1 0 +0 338 +0 4 +cfn=(752) 0x0000000000009150 +calls=1 0 +0 7603 +0 6 +cfn=(740) +calls=1 0 +0 324 +0 6 +cob=(3) +cfi=(94) +cfn=(722) +calls=1 36 +0 314 +0 5 +cob=(3) +cfi=(94) +cfn=(722) +calls=1 36 +0 301 +0 5 +cob=(3) +cfi=(94) +cfn=(722) +calls=1 36 +0 301 +0 10 +cob=(3) +cfi=(96) +cfn=(830) pthread_attr_init@@GLIBC_2.2.5 +calls=1 56 +0 1821 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1895 +0 3 +cob=(3) +cfi=(96) +cfn=(846) pthread_attr_setdetachstate +calls=1 62 +0 12 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 2232 +0 3 +cfn=(852) 0x0000000000003680 +calls=1 0 +0 328 +0 5 +cfn=(852) +calls=1 0 +0 323 +0 19 + +fn=(1916) +0 10 +cob=(3) +cfi=(196) +cfn=(1736) +calls=1 31 +0 86 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1895 +0 13 + +fn=(1610) omp_get_max_threads +0 8 + +fn=(730) +0 16 +cob=(3) +cfi=(94) +cfn=(722) +calls=2 36 +0 602 +0 18 + +fn=(852) +0 20 +cob=(3) +cfi=(94) +cfn=(722) +calls=2 36 +0 607 +0 24 + +fn=(1906) +0 3 +cob=(5) +cfi=(199) +cfn=(1912) +calls=1 31 +0 16 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1975 + +fn=(752) +0 2 +cob=(3) +cfi=(96) +cfn=(758) +calls=1 187 +0 9 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1789 +0 4 +cob=(5) +cfi=(98) +cfn=(768) +calls=1 32 +0 1743 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 2122 +0 5 +cob=(3) +cfi=(104) /build/buildd/eglibc-2.15/posix/../posix/sched_cpucount.c +cfn=(792) popcount_cpucount +calls=1 28 +0 103 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1819 +0 7 + +fn=(866) +0 4 +cob=(5) +cfi=(108) +cfn=(872) +calls=1 51 +0 20 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 2147 +0 6 + +fn=(740) +0 33 +cob=(3) +cfi=(94) +cfn=(722) +calls=3 36 +0 930 +0 36 + +ob=(18) +fl=(151) +fn=(1748) +0 10 +cob=(3) +cfi=(196) +cfn=(1736) +calls=1 31 +0 86 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1895 +0 13 + +fn=(1410) +0 6 + +fn=(1404) +0 6 + +fn=(1416) +0 11 + +ob=(3) +fl=(177) /build/buildd/eglibc-2.15/stdlib/../sysdeps/x86_64/mul_1.S +fn=(1578) __mpn_mul_1 +33 923 ++3 923 ++1 923 ++1 923 ++1 923 ++1 923 ++2 923 ++1 923 ++2 923 ++1 923 ++1 923 ++1 923 ++1 923 ++2 923 ++1 923 ++1 923 ++1 923 ++69 923 ++2 923 ++3 923 + +fl=(188) /build/buildd/eglibc-2.15/stdio-common/printf_fp.c +fn=(1680) __printf_fp +163 20 ++33 2 ++2 2 ++22 8 ++59 2 +-59 4 ++59 2 ++2 12 ++1 4 ++23 6 ++97 4 ++4 2 +cfi=(189) /build/buildd/eglibc-2.15/math/../sysdeps/ieee754/dbl-64/wordsize-64/s_isnan.c +cfn=(1682) isnan +calls=2 31 +* 14 +* 4 +1274 18 +313 2 +178 2 +-1 2 +354 2 ++2 2 +-2 2 ++67 4 +cfi=(190) /build/buildd/eglibc-2.15/math/../sysdeps/ieee754/dbl-64/wordsize-64/s_isinf.c +cfn=(1684) isinf +calls=2 20 +* 26 +* 4 ++56 2 ++12 2 +-12 12 ++1 2 ++1 2 ++1 2 ++1 8 ++1 4 ++1 4 +-2 2 ++1 2 +-1 2 ++2 2 ++7 2 +-8 2 ++1 2 ++7 4 ++9 6 ++15 4 +160 2 +555 2 +160 6 +555 4 +-6 2 +-1 2 ++1 12 +cfi=(143) /build/buildd/eglibc-2.15/string/../sysdeps/x86_64/multiarch/../memcpy.S +cfn=(1244) __GI_memcpy +calls=2 62 +* 46 +* 2 ++15 6 ++11 78 +-2 48 +-54 24 ++4 120 +-4 2 ++4 10 ++2 4 +-88 20 +cfi=(191) /build/buildd/eglibc-2.15/stdlib/../sysdeps/ieee754/dbl-64/dbl2mpn.c +cfn=(1686) __mpn_extract_double +calls=2 36 +* 42 +* 2 ++4 6 ++68 2 +-2 2 ++2 10 +-2 18 +cfi=(172) /build/buildd/eglibc-2.15/stdlib/../sysdeps/x86_64/lshift.S +cfn=(1566) __mpn_lshift +calls=2 30 +* 30 +* 2 ++3 18 ++1 2 +-1 2 ++1 2 ++1 12 ++52 10 +cfi=(192) /build/buildd/eglibc-2.15/stdlib/cmp.c +cfn=(1688) __mpn_cmp +calls=2 50 +* 38 +* 8 ++3 10 +cfi=(143) +cfn=(1244) +calls=2 62 +* 46 ++1 4 ++2 2 +-2 2 ++1 6 +-1 2 ++1 2 ++1 8 ++6 2 ++6 4 +-6 2 ++6 2 ++4 10 +160 4 +586 6 ++4 2 ++2 6 +844 4 +-10 2 ++10 4 +-10 2 ++10 2 ++2 2 +-2 2 ++2 2 ++10 4 ++48 2 +-61 2 ++61 2 ++14 12 ++7 4 +fi=(203) /build/buildd/eglibc-2.15/stdio-common/../nptl/sysdeps/pthread/allocalim.h +28 4 +fe=(188) +935 2 +-9 2 ++9 12 ++4 2 +-3 2 ++3 4 ++3 20 ++3 4 +cfn=(1692) hack_digit.14957 +calls=2 236 +* 218 +* 4 +cfn=(1692) +calls=2 236 +* 222 +* 8 +-3 8 +160 12 +942 2 ++6 6 ++3 2 +-4 2 ++4 4 ++8 2 ++13 4 +-13 4 ++13 12 +-7 56 ++1 4 ++3 12 +-1 12 ++1 12 +cfn=(1692) +calls=12 236 +* 1426 +* 12 ++1 36 ++2 3 ++9 6 +cfn=(1692) +calls=2 236 +* 240 ++1 6 ++4 4 ++23 4 ++5 30 ++2 3 +-2 3 ++3 3 +-3 9 ++2 1 +-2 1 ++3 1 +-3 3 ++5 4 ++2 4 ++2 4 ++11 12 ++70 6 ++7 4 ++3 4 ++13 6 ++46 12 ++2 4 +213 2 +1175 8 ++2 2 +-2 2 ++2 8 +213 2 +1180 4 ++7 10 ++9 6 ++6 6 ++4 4 +cfi=(95) /build/buildd/eglibc-2.15/string/../sysdeps/x86_64/multiarch/../strlen.S +cfn=(724) __GI_strlen +calls=2 26 +* 28 ++2 4 +-2 2 ++3 2 +-1 2 ++5 2 ++1 2 +-1 2 ++1 2 +-1 2 ++2 6 ++11 12 ++1 2 ++6 4 +-6 2 ++6 16 ++3 32 ++3 32 +-6 54 ++1 54 ++1 6 +cfi=(135) 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29 ++1 29 ++1 29 ++1 29 + +fl=(161) /build/buildd/eglibc-2.15/signal/../sysdeps/posix/sysv_signal.c +fn=(1508) sysv_signal +41 1 ++4 1 +-4 1 ++4 5 ++7 3 +-1 1 ++5 1 +-2 1 +-2 1 ++4 1 +-4 17 ++4 2 +cfi=(162) +cfn=(1510) +calls=1 -18 +* 106 +* 1 ++3 3 ++1 2 + +fl=(65) +fn=(272) +82 4 ++1 1 + +fl=(186) /build/buildd/eglibc-2.15/stdlib/exit.c +fn=(1662) exit +100 1 +-1 1 ++1 2 +cfn=(1664) __run_exit_handlers +calls=1 -63 +* 64443 + +fn=(1664) +37 8 ++50 1 +-45 3 ++37 1 +-33 2 ++33 3 +-33 14 ++3 7 +-1 28 ++2 43 ++24 3 ++4 6 +-2 6 ++2 3 +cob=(1) +cfi=(195) +cfn=(1708) +calls=1 +55 +* 54953 +cob=(20) +cfi=(164) /home/sam/Documents/University/honours/course/semester2/pprog/assignment1/nbody-bh/../single-thread/nbody.c +cfn=(1706) Universe_Cleanup +calls=1 204 +* 143 +cob=(20) +cfi=(164) +cfn=(1666) DisplayStatistics +calls=1 245 +* 8914 ++1 3 ++4 1 ++1 1 +-1 1 ++1 1 ++6 2 ++1 5 +cfi=(121) +cfn=(2162) _IO_cleanup +calls=1 1007 +* 281 +* 3 ++2 2 +cfi=(201) 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/home/sam/Documents/University/honours/course/semester2/pprog/assignment1/nbody-bh/main.c +cfn=(1482) main +calls=1 40 +* 1301834364 +106 2 + +fl=(182) +fn=(1600) +31 10 ++1 2 + +fl=(168) /build/buildd/eglibc-2.15/string/../sysdeps/x86_64/strtok.S +fn=(1552) strtok +69 4000 ++1 4000 ++2 4000 ++1 4000 ++1 4000 ++1 4000 ++1 132000 ++13 4000 ++2 4000 ++4 4000 ++1 4000 ++1 4000 ++1 4000 ++1 4000 ++6 4000 ++1 4000 ++1 4000 +-2 4000 ++1 4000 ++1 4000 ++1 4000 ++2 4000 ++1 4000 ++1 4000 ++1 4000 ++2 4000 ++1 4000 ++1 4000 ++1 4000 ++2 4000 ++1 4000 ++1 4000 ++1 4000 ++1 4000 ++4 4000 ++11 4000 ++2 4000 ++1 4000 ++1 4000 ++20 4000 ++2 4000 ++2 4000 ++1 4000 ++1 4000 +-4 5989 ++2 5989 ++1 5989 ++1 5989 ++2 8455 ++1 8455 ++1 8455 ++2 6937 ++1 6937 ++1 6937 ++2 6488 ++1 6488 ++1 6488 ++2 499 ++1 499 ++1 499 ++2 499 ++1 499 +-4 449 ++1 449 ++2 449 ++1 449 +-3 1518 ++2 1518 ++1 1518 +-1 1534 ++1 1534 ++2 3500 ++3 3500 ++1 3500 ++1 3500 ++3 3500 ++4 3500 ++2 3500 +-2 500 ++2 500 ++3 500 ++2 500 ++1 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8 ++1 8 ++1 8 ++1 8 ++1 8 ++1 8 ++1 8 ++1 8 ++1 8 ++1 8 ++1 8 ++1 8 ++1 8 ++1 8 ++1 8 ++1 8 ++1 8 ++1 8 ++2 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++2 8 ++1 8 ++1 8 + +fl=(157) /build/buildd/eglibc-2.15/setjmp/sigjmp.c +fn=(1480) __sigjmp_save +30 2 +-1 2 ++1 2 ++5 3 + +fl=(94) +fn=(722) +36 88 ++1 11 +cfi=(95) +cfn=(724) +calls=11 -11 +* 199 +* 11 ++4 55 ++1 11 +-1 22 ++3 22 +-2 11 ++55 88 +-16 11 +-8 11 ++6 11 +-1 11 ++3 1870 ++9 924 + +fl=(111) /build/buildd/eglibc-2.15/malloc/hooks.c +fn=(944) malloc_hook_ini +30 1 +fi=(112) /build/buildd/eglibc-2.15/malloc/arena.c +371 1 +fe=(111) +31 1 +fi=(112) +371 1 +fe=(111) +31 1 +fi=(112) +371 3 +cfn=(948) ptmalloc_init.part.8 +calls=1 -2 +* 57883 +* 1 +fe=(111) +34 1 +-1 1 +cfi=(110) +cfn=(943) malloc'2 +calls=1 2910 +* 1170 + +fn=(1256) realloc_hook_ini +38 1 ++1 2 ++1 2 +fi=(112) +371 3 +fe=(111) +43 1 +-1 1 +cfi=(110) +cfn=(1255) realloc'2 +calls=1 2989 +* 135 + +fl=(148) /build/buildd/eglibc-2.15/stdlib/../stdlib/strtol.c 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1 ++2 2 ++1 1 +-1 2 ++1 1 ++5 1 ++12 4 ++75 2 ++2 1 ++1 1 ++2 1 +-3 1 ++5 1 +-5 1 ++4 3 ++4 2 ++2 1 ++1 1 ++2 1 +-3 1 ++5 1 ++2 1 +-7 1 ++4 2 ++3 1 +-3 1 ++3 2 +-93 7 + +fn=(332) +163 60 ++1 12 ++8 6 +-2 40 ++14 26 ++53 26 ++36 65 +-1 13 ++1 13 +cfi=(81) /build/buildd/eglibc-2.15/stdlib/bsearch.c +cfn=(334) bsearch +calls=13 27 +* 2186 ++2 26 ++2 12 ++14 2 ++6 11 +172 22 ++2 13 ++2 26 +301 4 ++1 42 +-23 2 ++2 4 ++2 4 + +fn=(336) intel_02_known_compare +152 87 ++1 87 +-1 174 ++3 168 ++1 87 + +fl=(178) /build/buildd/eglibc-2.15/time/../sysdeps/unix/sysv/linux/clock.c +fn=(1592) clock +26 2 ++2 2 +-2 2 ++2 2 +cfi=(179) +cfn=(1594) +calls=2 +5 +* 72 ++9 2 +-9 2 ++9 2 +cfi=(183) /build/buildd/eglibc-2.15/posix/../sysdeps/unix/sysv/linux/times.c +cfn=(1602) times +calls=2 -11 +* 20 ++2 4 ++3 8 +-1 4 ++4 4 +-4 2 ++4 2 + +fl=(169) /build/buildd/eglibc-2.15/stdlib/atof.c +fn=(1558) atof +28 7000 +cfi=(170) /build/buildd/eglibc-2.15/stdlib/strtod.c +cfn=(1560) strtod +calls=3500 +42 +* 1830376 + +fl=(122) +fn=(1042) +40 18 ++4 3 +-4 6 ++4 3 ++1 3 +cfi=(146) /build/buildd/eglibc-2.15/string/../sysdeps/x86_64/multiarch/../rawmemchr.S +cfn=(1286) __GI___rawmemchr +calls=1 -19 +* 229 +* 1 ++5 5 +cfi=(121) +cfn=(1044) _IO_setb +calls=1 404 +* 21 +* 10 +cfi=(121) +cfn=(1044) +calls=2 404 +* 42 ++5 3 +-3 3 ++1 3 ++1 3 ++1 3 ++2 2 ++1 2 ++1 2 ++9 2 ++1 12 +-1 1 ++1 6 +-23 2 ++1 8 ++16 1 ++1 1 ++1 2 + +fl=(196) +fn=(1736) +31 48 ++18 16 +-18 80 ++4 64 ++4 308 ++5 128 ++2 4 ++1 4 ++2 16 +-3 8 ++5 4 ++3 4 ++2 4 +-2 8 ++2 4 +cob=(12) +cfi=(89) +cfn=(1994) 0x000000000006a760 +calls=1 -56 +* 7 +cob=(12) +cfi=(89) +cfn=(1992) 0x000000000006a750 +calls=1 -56 +* 7 +cob=(12) +cfi=(89) +cfn=(1984) 0x000000000006cf50 +calls=1 -56 +* 1556 +cob=(2) +cfi=(14) +cfn=(1798) +calls=1 -56 +* 2 ++4 8 +-21 13 +-4 48 ++32 48 ++4 96 +-4 48 ++12 32 ++3 16 +-2 16 ++2 96 +-2 16 +cfi=(197) +cfn=(1738) +calls=16 -43 +* 304 + +fl=(146) +fn=(1286) +26 1 ++1 1 ++2 1 ++1 1 ++2 1 ++1 1 ++2 1 ++1 1 ++2 1 ++1 1 ++2 1 ++1 1 ++2 1 ++1 1 ++1 1 ++1 1 ++28 1 ++1 1 ++1 1 ++1 1 ++1 1 ++2 1 ++1 1 ++1 1 ++1 1 ++1 1 ++2 1 ++1 1 ++1 1 ++1 1 ++1 1 ++2 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++2 1 ++1 1 ++2 1 ++1 1 ++1 1 ++1 1 ++1 1 ++2 1 ++1 1 ++1 1 ++1 1 ++1 1 ++2 1 ++1 1 ++1 1 ++1 1 ++1 1 ++2 1 ++1 1 ++1 1 ++2 1 ++1 1 ++1 1 ++2 2 ++4 1 ++1 1 ++1 1 ++1 1 ++2 1 ++1 1 ++1 1 ++1 1 ++2 1 ++1 1 ++1 1 ++1 1 ++2 1 ++2 1 ++1 1 +-18 9 ++1 9 ++1 9 ++1 9 ++2 9 ++1 9 ++1 9 ++1 9 ++2 9 ++1 9 ++1 9 ++1 9 ++2 9 ++2 9 ++1 9 ++2 1 ++2 1 ++1 1 ++1 1 ++2 1 ++1 1 ++1 1 ++2 1 ++1 1 ++2 1 ++1 1 ++1 1 ++1 1 ++2 1 ++1 1 ++1 1 ++1 1 + +fl=(102) +fn=(788) +36 1 +-36 9 + +fl=(165) /build/buildd/eglibc-2.15/libio/iofgets.c +fn=(1530) fgets +37 501 ++5 501 +-5 2505 ++5 501 ++2 1002 ++8 8517 ++5 501 ++1 1002 +-1 501 ++1 1002 +-1 501 ++1 1503 +cfi=(166) /build/buildd/eglibc-2.15/libio/iogetline.c +cfn=(1532) _IO_getline +calls=501 -16 +* 98159 ++5 501 +-2 2505 +-5 501 ++15 501 +-2 1002 +fi=(136) /build/buildd/eglibc-2.15/libio/libioP.h +984 1002 ++1 5511 +fe=(165) +72 2505 +-6 2004 + +fl=(171) /build/buildd/eglibc-2.15/stdlib/strtod_l.c +fn=(1562) ____strtod_l_internal +416 31500 ++56 3500 +-2 3500 +-54 3500 ++56 3500 ++18 3500 +-1 3500 ++15 3500 ++1 10500 +cfi=(95) +cfn=(724) +calls=3500 26 +* 49000 ++22 3500 +-22 3500 ++16 3500 ++6 14000 ++3 7000 ++1 10500 ++3 7000 ++5 4994 +-17 2497 ++17 2497 ++13 10500 ++1 14000 ++75 17500 +422 3500 +647 7000 ++1 12412 ++1 3824 +-1 3824 ++1 1912 ++22 1912 ++1 3824 +-1 1912 ++1 5736 +-1 1588 ++1 3176 +-1 1588 ++1 4764 ++42 17967 ++1 6988 ++12 6988 ++16 6988 ++42 6988 ++9 6988 ++1 10982 +-1 8982 ++7 2994 ++1 2994 +-1 2994 ++1 14970 ++1 62874 ++15 8982 +561 10500 +1589 28000 +718 2495 ++22 4990 ++1 4990 +-68 1912 +-2 1912 ++2 1912 ++5 3824 ++1 5736 ++12 12 +-19 12 ++27 36 +cfi=(174) /build/buildd/eglibc-2.15/stdlib/grouping.c +cfn=(1572) __correctly_grouped_prefixmb +calls=6 56 +* 114 ++5 18 +1045 384 +819 1000 ++5 500 ++1 1000 +-3 500 ++8 500 +-6 500 ++6 500 ++3 1500 ++59 6988 ++10 18318 ++19 6988 ++3 6988 ++3 11988 ++9 1150 ++2 1150 ++9 1150 ++1 575 +-1 575 ++1 1725 ++1 575 +-1 1150 ++5 6842 ++78 18226 ++1 2846 ++1 2846 ++3 2846 +-4 2846 ++1 2846 ++3 8538 +-4 575 ++1 575 ++3 575 +-4 575 ++1 575 ++3 1725 ++6 6842 ++6 10263 ++3 20644 +cfn=(1564) str_to_mpn.isra.0 +calls=1588 276 +* 91922 +* 1588 ++6 6352 +678 5718 ++8 3812 +537 2006 +-1 1003 ++1 2006 ++91 5736 +743 6988 +896 13027 ++1 13027 +-3 35036 +-53 1000 +-3 1000 ++6 3000 ++5 500 ++1 1000 ++2 500 +-2 500 ++2 500 +-3 1 ++1 2 ++2 1 +-2 1 ++2 1 ++28 1002 ++2 1503 ++2 1000 +-66 500 ++1 500 ++1 11982 +686 5718 +795 2000 +1101 1588 ++1 4764 +-1 3176 ++1 1588 ++4 3176 ++9 3176 ++32 3176 ++3 11968 ++2 2992 ++8 2992 ++2 16456 +cfi=(172) +cfn=(1566) +calls=1496 30 +* 22440 ++4 4488 ++15 10472 +cfn=(1568) round_and_return +calls=1496 182 +* 56848 +* 1496 +827 5499 +1048 3666 +523 10998 +1221 1833 ++6 1833 +-6 5591 ++6 92 +-6 276 ++8 1925 +-20 1925 +-1 1925 ++2 1925 ++23 1925 +-1 1925 +-24 3850 ++41 1925 +-20 1925 +-20 3850 ++34 1925 ++1 5775 +-1 1925 ++1 5775 +cfi=(143) +cfn=(1244) +calls=1925 62 +* 34650 ++15 3267 ++1 3267 ++2 6534 +-26 6534 ++3 2830 ++2 5660 ++8 8145 +cfi=(176) /build/buildd/eglibc-2.15/stdlib/mul.c +cfn=(1576) __mpn_mul +calls=905 58 +* 51585 ++4 905 ++1 905 +-1 905 ++1 905 ++1 1810 ++1 2715 ++8 5775 ++4 19250 +cfn=(1564) +calls=1925 276 +* 124848 ++17 1925 ++2 1925 +-2 5775 ++2 3850 ++4 9625 +cfi=(172) +cfn=(1566) +calls=1925 30 +* 28875 ++1 9625 +cfi=(172) +cfn=(1566) +calls=1925 30 +* 28875 ++1 5775 ++13 1925 +-2 1925 ++2 1925 +1581 9625 +cfn=(1568) +calls=1925 182 +* 86980 +* 1925 +807 39279 +411 3351 +807 3351 +411 10053 +810 3351 +-1 3351 ++1 21315 +-1 14613 ++1 29226 +1030 1150 ++1 1725 +1313 1925 ++1 1925 ++5 1925 ++38 3850 +-38 5775 ++38 1925 +-38 1925 ++38 36752 ++6 1833 +-1 1833 ++1 3666 +-1 1833 +-1 5499 ++2 92 +-1 92 ++1 184 +-1 92 +-1 276 +-4 184 +390 184 +1357 552 +389 460 +cfi=(172) +cfn=(1566) +calls=92 30 +* 1380 ++1 552 +1186 552 +cfi=(143) +cfn=(1244) +calls=92 62 +* 1656 +* 1012 ++79 4525 +cfi=(143) +cfn=(1244) +calls=905 62 +* 16290 +* 1810 + +fn=(1568) +182 20526 ++1 3421 +-1 10263 ++1 3421 ++56 6842 ++1 4149 +fi=(175) /build/buildd/eglibc-2.15/stdlib/../stdlib/gmp.h +448 1383 +fe=(171) +245 2766 +fi=(175) +449 1383 +fe=(171) +245 1383 ++10 2766 ++8 6842 ++3 10263 ++1 17105 +-1 3421 +cfi=(173) +cfn=(1570) +calls=3421 40 +* 47894 + +fn=(1564) +276 14052 ++10 3513 +-10 7026 ++13 3513 +-13 7026 ++9 3513 +-9 10539 ++13 3513 +-13 7026 ++47 25408 ++3 2700 ++7 2700 ++3 1350 ++3 1350 +-3 2700 ++1 1350 ++2 1350 +-3 1350 ++3 1350 +-3 5002 ++3 5002 +-3 10004 ++1 5002 ++2 5002 +-3 5002 ++3 5002 +-46 5678 ++48 12039 ++7 6026 ++2 3013 +-2 3013 ++2 3013 ++2 3513 ++1 3513 ++12 31617 +-22 1000 ++1 500 ++1 500 +-2 500 ++7 500 +-6 500 ++6 500 + +fl=(160) /build/buildd/eglibc-2.15/stdlib/atoi.c +fn=(1500) atoi +27 2 ++1 6 +cfi=(148) +cfn=(1502) +calls=2 +82 +* 300 ++1 4 + +fl=(155) +fn=(1476) +34 1 ++2 1 +cfi=(156) /build/buildd/eglibc-2.15/setjmp/../sysdeps/x86_64/setjmp.S +cfn=(1478) __sigsetjmp +calls=1 -10 +* 27 + +fl=(159) +fn=(1492) +29 1 ++1 1 ++2 1 ++1 1 ++1 1 ++1 1 ++1 1 + +fn=(1494) __strchr_sse42 +89 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++3 1 ++1 1 ++1 1 ++1 1 ++2 1 ++2 1 ++2 1 ++1 1 ++1 1 ++1 1 ++16 1 ++1 1 ++23 1 ++1 1 + +fl=(201) +fn=(2172) +29 2 ++4 1 ++2 2 + +fl=(81) +fn=(334) +27 130 ++7 13 +-7 13 ++20 13 +-13 52 ++7 26 ++1 23 +-8 46 ++2 87 ++2 87 +-2 87 ++1 348 ++1 174 +cfi=(80) +cfn=(336) +calls=87 152 +* 603 ++1 174 ++1 61 +-6 122 ++13 10 ++1 117 + +fl=(191) +fn=(1686) +36 4 ++2 6 ++1 10 ++9 4 ++9 4 +-9 2 ++9 2 ++47 4 ++4 2 +-4 2 ++4 2 + +fl=(110) +fn=(986) +3233 5948 +-13 5948 ++13 5948 +-3 5948 ++3 5948 +-13 35688 ++10 5948 ++3 11896 ++8 11896 ++1 11896 ++10 59480 ++7 5948 ++8 5948 +-7 11896 ++7 11896 ++7 17844 +cfn=(956) _int_malloc +calls=5948 3415 +* 855514 +* 5948 ++3 23792 ++2 59480 ++34 5948 +-3 5948 ++3 23792 ++10 5948 ++1 11896 ++1 11896 ++2 11896 ++7 1461 +-3 1461 ++1 1461 ++1 1461 ++1 1461 ++3 11 +-2 11 ++1 11 ++1 11 ++3 8 +-2 8 ++1 8 ++1 8 ++1 7 ++1 14 ++7 53532 +-49 4 ++13 12 ++15 13461 +cfi=(101) +cfn=(778) +calls=4487 44 +* 151819 +* 4487 + +fn=(1300) malloc_consolidate.part.3 +4192 16 ++24 6 ++2 2 ++10 2 ++1 4 ++2 4 ++1 4 +-1 36 ++1 55 ++26 1 ++4 1 +-3 1 ++1 1 ++2 1 ++5 1 ++1 1 ++1 1 +-2 1 ++3 1 +-3 1 ++12 2 +-41 1 +-3 1 ++3 2 ++4 1 +-3 1 ++1 1 ++2 1 +-2 1 ++9 2 ++3 2 ++4 2 ++26 20 +-90 20 ++90 40 ++6 16 + +fn=(1302) sYSTRIm.isra.1 +2776 45 ++10 5 ++44 5 +-44 5 +-1 5 ++1 5 ++3 25 ++2 15 ++40 45 + +fn=(1060) +2957 74774 ++1 74774 ++5 74774 ++5 5957 +-2 5957 ++2 11914 ++14 17871 ++1 11914 +cfn=(1182) _int_free +calls=5957 3906 +* 607062 +2861 31430 + +fn=(1182) +3906 53748 ++13 5972 +-13 5972 ++13 11944 ++6 23888 ++1 11944 ++10 11944 ++13 11944 ++11 5752 ++1 4314 ++24 4314 ++3 4314 ++1 2876 ++1 1438 ++3 1438 +-3 1438 ++9 2876 +-5 2876 ++10 2876 ++1 4272 ++1 1424 ++2 4272 +-2 14 ++2 4356 ++2 5724 +4176 11560 +4021 9068 ++1 9068 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++1 1 ++8 36 +cfn=(1182) +calls=9 3906 +* 631 ++2 9 +-55 60 ++64 12 ++2 12 ++6 12 +-1 6 ++1 12 ++1 6 ++4 6 +-4 18 ++3 6 ++1 12 +cfn=(1182) +calls=6 3906 +* 499 ++4 6 ++1 4928 +-55 2 ++6 4 +cfi=(143) +cfn=(1244) +calls=2 62 +* 246 +* 2 +-47 601 +-1 601 +-1 1202 ++3 1202 ++4 601 +-4 1803 ++2 601 +-2 601 ++2 601 +-2 1803 ++1 1202 ++1 601 ++2 601 ++81 6 ++1 6 +-1 12 + +fn=(942) +2910 54 ++5 18 ++1 18 ++3 16 ++2 72 ++3 24 +cfn=(956) +calls=8 3415 +* 1095 ++1 8 +-1 8 ++1 8 ++18 32 ++1 64 ++3 56 +-30 1 ++30 5 +-30 1 +cfi=(111) +cfn=(944) +calls=1 30 +* 59064 + +fn=(943) +2910 6 ++5 2 ++1 2 ++3 2 ++2 9 ++3 3 +cfn=(956) +calls=1 3415 +* 1124 ++1 1 +-1 1 ++1 1 ++18 4 ++1 8 ++3 7 + +fn=(1254) +2989 5553 ++7 1234 ++1 1234 ++4 1232 ++4 1232 ++5 615 +-2 615 ++2 1230 ++6 2460 ++1 1230 ++6 4920 ++2 1230 ++18 1845 ++9 3690 ++8 3075 +cfn=(1258) +calls=615 4297 +* 38619 +* 615 ++2 2460 ++1 7380 ++15 5535 +-73 1 ++73 7 +-73 1 +cfn=(942) +calls=1 -95 +* 188 +-7 1 ++80 7 +-80 1 +cfi=(111) +cfn=(1256) +calls=1 38 +* 145 + +fn=(1255) +2989 9 ++7 2 ++1 2 ++4 2 ++4 2 ++5 1 +-2 1 ++2 2 ++6 4 ++1 2 ++6 8 ++2 2 ++18 3 ++9 6 ++8 5 +cfn=(1258) +calls=1 4297 +* 58 +* 1 ++2 4 ++1 12 ++15 9 + +fn=(956) +3415 53694 ++30 47728 ++8 11932 ++1 4404 ++1 1468 ++1 1468 ++4 2936 +-5 8 ++8 16 +-8 8 ++8 24 ++1 8 +-1 8 ++1 16 ++2 40 +3872 5958 +-1 5958 ++1 11916 ++26 53694 +3489 11916 ++1 17871 ++1 11914 ++2 17871 ++1 2 ++36 8 ++1 4 +3885 5958 +-2 5958 +3570 5958 +3885 5958 +-2 11916 ++2 5958 +-2 5958 ++2 11916 +3570 5958 +3885 113202 +3663 5958 +3551 11918 ++65 14 ++1 21 ++1 7 ++45 42 ++7 7 +-6 7 ++1 7 ++1 7 ++1 7 ++3 7 +3551 17898 ++2 10 +-1 10 ++1 20 ++1 20 ++3 10 ++10 40 ++35 8 +-5 8 ++1 8 ++4 8 ++13 14 +-46 10 +-1 20 ++1 10 ++4 2 ++1 4 ++4 2 +-2 2 +-1 4 ++2 4 ++1 2 ++6 2 ++3 2 +-3 12 ++2 4 +-2 2 ++2 2 ++5 2 +-1 2 ++1 4 ++88 11912 ++71 5956 ++1 5956 ++3 5956 +-2 5956 ++2 5956 +-3 5956 ++1 5956 ++2 5956 +-1 17868 ++6 29803 ++2 71379 ++2 71372 ++2 1 ++1 1 +-1 2 ++5 1 +-5 1 ++5 2 ++1 1 ++2 2 +-2 48 ++2 96 +-3 122 ++7 13 ++3 26 ++1 7 ++1 7 ++1 7 +-2 21 ++60 7 ++18 5950 ++1 17850 ++2 11900 ++17 21 +4215 7 +cfn=(1300) +calls=1 -23 +* 140 +* 3 +3882 1 ++1 1 +-1 1 +3604 1 +-1 2 ++1 2 ++76 2 ++3 3 +3530 4 +3787 24 ++3 12 ++5 66 +-3 12 ++6 12 ++13 4 ++1 8 +-6 4 ++17 4 +-6 4 ++1 4 ++2 4 +-1 4 ++4 4 ++1 4 ++1 8 ++5 28 ++2 8 +-2 4 ++2 4 ++1 8 +3530 2 +3800 2 +-1 2 ++1 6 +4215 3 +1913 127 ++1 127 +-2 127 ++2 254 +-2 127 ++6 3 ++7 1 +-2 2 ++2 2 +3866 17829 +-3 5943 ++1 5943 ++2 17829 ++2 5943 +-2 5943 +-1 5943 ++1 17829 ++2 11886 +2370 6 ++1 18 +-1 18 ++11 6 +-11 6 ++11 6 ++58 6 ++9 12 +-9 6 ++9 41 ++6 10 +-6 2 ++9 18 +2742 12 ++1 6 ++5 12 ++3 12 ++4 6 +-3 6 ++1 6 ++2 6 +-1 6 ++4 6 +-3 12 ++1 6 +-1 24 ++1 6 +3893 48 +2507 6 ++19 6 +-19 6 ++8 6 +-8 24 ++19 30 ++8 6 +-8 6 ++8 6 ++1 24 +cfi=(115) /build/buildd/eglibc-2.15/malloc/morecore.c +cfn=(958) __default_morecore +calls=6 48 +* 298 +* 6 ++2 30 ++2 12 ++1 12 ++17 12 ++26 12 ++1 1 ++1 2 ++6 1 +-6 1 ++6 1 +-6 10 ++6 5 +-6 5 ++6 15 ++1 25 ++2 4 ++40 5 ++19 1 ++3 1 ++1 1 +-1 1 ++1 3 ++2 2 ++1 4 +cfi=(115) +cfn=(958) +calls=1 48 +* 27 ++12 3 ++5 2 ++1 2 ++17 1 +3894 1 +2697 1 ++1 1 +-2 1 ++1 2 ++12 1 +-12 1 ++1 1 ++11 1 +-84 2 +1922 3 + +fl=(112) +fn=(948) +369 6 ++11 1 +-8 1 ++8 1 ++7 2 ++1 2 +-1 1 ++1 10 +cfi=(68) /build/buildd/eglibc-2.15/nptl/../nptl/sysdeps/unix/sysv/linux/register-atfork.c +cfn=(954) __linkin_atfork +calls=1 117 +* 9 ++2 4 ++16 1 +-16 1 +-58 4 ++2 84 ++16 42 +-18 126 +455 2 ++5 2 ++1 2 ++2 1 ++1 7 +-83 5 +cfi=(113) /build/buildd/eglibc-2.15/elf/dl-addr.c +cfn=(950) _dl_addr +calls=1 127 +* 57560 +* 2 ++1 3 +-47 2 ++1 2 + +fl=(77) /build/buildd/eglibc-2.15/string/../sysdeps/x86_64/multiarch/../strrchr.S +fn=(322) __GI_strrchr +26 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++2 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++2 2 ++1 2 ++1 2 ++1 2 ++2 1 ++1 1 ++1 1 ++1 1 ++2 1 ++1 1 ++1 1 ++1 1 ++1 1 ++2 1 + +fl=(143) +fn=(1244) +62 3670 ++2 3670 ++2 3670 ++3 3661 ++1 3661 ++2 257 ++1 257 ++2 257 ++1 257 ++5 257 ++1 257 +-1 3404 ++1 3404 ++2 249 ++1 249 ++2 249 ++1 498 ++5 249 ++1 249 +-1 3412 ++1 3412 ++2 249 ++1 249 ++2 249 ++1 249 ++5 249 ++1 249 +-1 3412 ++1 3412 ++2 3340 ++1 3340 ++2 3340 ++1 3340 ++5 3340 ++1 3340 +-1 321 ++1 1053 ++5 732 ++1 732 ++1 732 ++1 732 ++2 732 ++2 732 ++1 732 ++2 732 ++8 3661 ++8 501 ++6 501 ++2 501 ++1 501 ++3 433 ++1 866 ++5 433 ++1 433 ++2 433 ++2 433 ++1 433 ++2 433 +-8 1305 ++1 1305 ++2 1305 ++2 1305 ++1 1305 ++2 1738 ++9 433 ++1 433 +-1 68 ++1 68 ++3 501 ++1 501 ++1 501 ++5 505 ++2 505 ++1 505 ++1 505 ++1 505 ++2 505 ++1 505 ++1 505 ++1 505 ++2 505 ++1 505 ++2 505 ++2 14 ++2 14 ++1 14 ++1 14 ++1 14 ++2 14 ++1 14 ++1 14 ++1 14 ++2 14 ++1 14 ++2 22 ++5 8 ++6 8 ++1 8 +-7 493 ++6 493 ++1 493 ++2 9 + +fl=(198) +fn=(1876) +28 2 ++6 33 ++2 2 ++1 1 + +fl=(66) +fn=(278) +49 2 ++1 1 + +fl=(115) +fn=(958) +48 7 ++1 7 +cfi=(116) /build/buildd/eglibc-2.15/misc/sbrk.c +cfn=(960) sbrk +calls=7 -14 +* 276 ++2 21 ++2 14 + +fl=(79) +fn=(326) +33 3 ++1 1 + +fl=(117) /build/buildd/eglibc-2.15/misc/../sysdeps/unix/sysv/linux/x86_64/brk.c +fn=(962) brk +29 7 ++3 49 ++8 7 +-6 14 ++7 7 + +fl=(76) +fn=(320) +31 3 ++1 1 +-1 1 ++1 4 ++2 3 +cfi=(77) +cfn=(322) +calls=1 -8 +* 51 ++4 5 ++1 3 ++2 4 + +fl=(183) +fn=(1602) +26 2 ++2 4 ++1 2 +-1 2 ++1 2 ++26 6 ++3 2 + +fl=(119) +fn=(1034) +30 12 ++4 2 ++1 2 +-1 10 ++1 2 +cfi=(120) +cfn=(1036) +calls=2 +66 +* 2192 ++4 4 + +fl=(193) +fn=(1690) +30 4 ++1 4 ++1 4 ++13 4 ++1 4 ++16 4 ++1 4 ++1 4 ++1 4 ++1 4 ++1 4 ++1 4 ++5 4 ++1 4 ++1 4 ++1 4 ++1 4 + +fl=(134) /build/buildd/eglibc-2.15/misc/../sysdeps/unix/syscall-template.S +fn=(1202) munmap +82 16 ++1 4 + +fn=(1122) mmap +82 25 ++1 5 + +fl=(145) /build/buildd/eglibc-2.15/libio/iovsscanf.c +fn=(1284) vsscanf +36 7 ++6 5 +-2 1 ++2 1 +cfi=(121) +cfn=(1038) +calls=1 648 +* 41 ++1 1 ++1 4 +-1 1 ++1 1 +cfi=(122) +cfn=(1042) +calls=1 -4 +* 285 ++1 5 +cfi=(147) /build/buildd/eglibc-2.15/stdio-common/vfscanf.c +cfn=(1288) _IO_vfscanf +calls=1 214 +* 2599 ++2 5 + +fl=(104) +fn=(792) +28 1 +-2 1 ++2 1 ++2 3 ++2 2 ++3 2 +-5 2 ++2 30 ++3 30 +-5 30 ++30 1 + +fl=(129) /build/buildd/eglibc-2.15/io/../sysdeps/unix/syscall-template.S +fn=(1088) open +82 8 +cfn=(1090) __open_nocancel +calls=4 * +* 20 + +fn=(1132) read +82 32 +cfn=(1134) __read_nocancel +calls=16 * +* 80 + +fn=(1702) write +82 2 +cfn=(1704) __write_nocancel +calls=1 * +* 5 + +fn=(1090) +82 20 + +fn=(1134) +82 80 + +fn=(1704) +82 5 + +fn=(1200) __close_nocancel +82 20 + +fl=(96) +fn=(930) +182 14 +cob=(5) +cfi=(109) +cfn=(932) +calls=2 47 +* 46 + +fn=(758) +187 21 +cob=(5) +cfi=(97) +cfn=(760) +calls=3 27 +* 6 + +fn=(830) +56 7 +cob=(5) +cfi=(105) +cfn=(832) +calls=1 -20 +* 1814 + +fn=(978) +184 14 +cob=(5) +cfi=(114) +cfn=(952) +calls=2 289 +* 34 + +fn=(846) +62 7 +cob=(5) +cfi=(107) +cfn=(848) +calls=1 -26 +* 5 + +fl=(137) +fn=(1162) +15 1 +-15 9 + +fl=(41) +fn=(182) +127 1 ++1 1 ++4 1 ++1 1 ++1 1 ++2 1 ++1 1 ++1 1 ++5 1 + +fn=(170) +104 1 ++1 1 ++1 1 +cfi=(42) +cfn=(172) __init_cpu_features +calls=1 -53 +* 57 ++3 1 ++1 1 ++1 1 ++2 1 ++1 1 ++1 1 ++5 1 + +fl=(67) +fn=(284) +43 1 ++2 1 ++3 1 +-5 1 ++5 4 +cfi=(68) +cfn=(286) __register_atfork +calls=1 +39 +* 50 +* 1 ++19 2 ++2 1 ++1 2 ++1 1 +-4 3 ++2 53 ++1 106 ++1 53 +-4 159 ++12 1 +-6 1 ++6 2 + +fl=(47) +fn=(184) +31 3 +-1 3 +fi=(44) ++15 3 +fe=(47) +-14 6 +fi=(44) ++15 3 +fe=(47) +-15 3 +fi=(44) ++13 3 ++5 12 ++1 6 ++13 6 +-17 9 ++3 36 ++1 18 ++13 18 +-17 27 ++22 3 +fe=(47) +-37 6 ++3 6 +-3 3 ++3 3 +cfi=(45) +cfn=(178) +calls=3 -7 +* 36 ++1 9 ++1 6 + +fl=(163) +fn=(1512) +50 3 ++4 3 +-4 3 ++4 3 ++2 6 ++1 96 ++1 12 ++2 6 ++7 42 ++1 12 ++2 4 ++1 64 ++1 4 ++1 4 ++3 6 + +fl=(132) /build/buildd/eglibc-2.15/libio/filedoalloc.c +fn=(1116) _IO_file_doallocate +99 25 ++15 10 +-1 5 ++1 25 +cfi=(127) /build/buildd/eglibc-2.15/libio/fileops.c +cfn=(1118) _IO_file_stat +calls=5 1246 +* 70 +* 10 ++2 20 ++11 10 +-14 5 ++14 10 ++1 15 ++3 35 +cfi=(134) +cfn=(1122) +calls=5 -49 +* 30 +* 10 ++1 25 +cfi=(121) +cfn=(1044) +calls=5 404 +* 105 ++1 5 ++1 25 +-13 1 +fi=(204) /build/buildd/eglibc-2.15/libio/../sysdeps/unix/sysv/linux/sys/sysmacros.h +-74 6 +fe=(132) ++74 1 +-2 2 ++5 2 + +fl=(95) +fn=(724) +26 3513 ++1 3513 ++1 3513 ++1 3513 ++1 3513 ++1 3513 ++1 3511 ++1 3511 ++1 3511 ++1 3511 ++1 3511 ++1 2 ++1 2 ++1 2 ++2 2 ++1 2 ++1 2 ++1 2 ++1 2 ++1 2 ++1 2 ++1 2 ++1 2 ++2 3 ++1 3 ++1 3 ++1 6 ++3 3 ++1 3 ++1 3 ++1 3 ++18 1 ++2 1 ++1 1 ++1 1 +-2 3509 ++1 3509 ++1 3509 ++3 3 ++1 3 ++1 3 ++1 3 + +fl=(144) +fn=(1282) +29 7 ++4 1 ++1 1 +-1 5 ++1 1 +cfi=(145) +cfn=(1284) +calls=1 +2 +* 2956 ++4 2 + +fl=(167) /build/buildd/eglibc-2.15/string/../sysdeps/x86_64/memchr.S +fn=(1540) memchr +26 508 ++1 508 ++2 508 ++1 508 ++1 508 ++1 508 ++2 508 ++1 508 ++2 508 ++1 508 ++2 397 ++1 397 ++1 397 ++1 397 ++2 397 ++1 395 ++1 395 ++1 395 ++1 395 ++1 395 ++1 395 ++1 395 ++1 395 ++1 389 ++4 111 ++1 111 ++1 111 ++2 111 ++2 111 ++2 111 ++1 111 ++1 111 ++12 111 ++1 111 ++1 111 ++1 109 ++1 109 ++1 216 ++4 107 ++1 107 ++1 107 ++1 107 ++1 107 +-4 389 ++1 389 ++1 389 ++1 389 ++1 389 ++2 493 ++1 493 ++1 493 ++1 493 ++1 493 ++2 490 ++1 490 ++1 490 ++1 490 ++1 490 ++2 396 ++1 396 ++1 396 ++1 396 ++1 396 ++1 396 ++88 8 ++1 8 ++2 4 ++1 4 ++1 4 ++1 4 ++1 4 ++2 4 ++1 4 ++1 4 ++1 4 ++1 4 ++2 4 ++1 4 ++1 4 ++1 4 ++1 4 ++1 4 ++1 4 ++2 3 ++1 3 ++1 3 ++1 3 ++6 4 ++1 4 ++1 4 ++1 4 ++1 4 ++1 4 ++1 4 ++1 4 ++2 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++4 396 ++1 396 ++1 396 ++4 3 ++1 3 ++1 3 ++4 3 ++1 3 ++1 3 ++4 94 ++1 94 ++1 94 ++4 2 ++1 2 ++1 2 ++1 2 ++1 2 ++20 3 ++1 3 ++1 3 ++1 3 ++1 3 ++4 6 ++1 6 + +fl=(174) +fn=(1572) +56 48 ++6 12 +202 54 + +fl=(131) +fn=(1108) +37 236 ++1 236 +-1 236 ++1 236 +-1 1652 ++4 472 ++2 3540 ++1 944 +cfi=(121) +cfn=(1110) _IO_sgetn +calls=236 500 +* 14962 +* 236 +fi=(136) +984 708 ++1 2832 +fe=(131) +46 484 ++1 1652 + +fl=(147) +fn=(1288) +214 10 ++11 1 +-11 2 ++11 1 ++1 1 +-1 1 ++1 1 ++88 7 ++6 3 ++3 5 ++4 1 ++31 1 +-31 1 ++31 1 +-23 1 ++6 1 ++2 1 +-2 1 ++2 2 ++15 1 +-23 1 ++8 1 ++15 3 ++5 1 ++4 1 +2148 1 +269 1 +-49 1 +-1 1 +2148 1 +275 1 +-2 1 +-1 1 +-7 2 +367 1 +264 1 +-1 1 +-1 1 +-12 1 +-20 1 +-12 1 +2148 1 +367 2 ++37 6 ++25 3 ++1 3 +-1 3 ++1 3 ++3 5 ++23 3 +-89 9 +223 1 +2925 2 ++10 7 ++5 2 ++3 2 ++17 2 ++6 9 +435 2 ++40 2 +-6 2 ++6 6 ++49 12 ++80 8 ++5 8 ++1 5 ++3 1 ++1 2 +-1 1 ++1 2 ++6 2 +-7 1 ++1 2 +-1 1 ++1 2 ++6 25 ++3 12 +-12 4 ++13 2 +-13 2 ++14 4 ++4 2 +-4 10 +cfi=(121) +cfn=(1290) _IO_sputbackc +calls=2 727 +* 30 ++4 2 +-4 6 ++4 12 +211 8 +481 6 ++12 8 ++4 1 +-4 1 +211 1 +493 4 +211 2 +493 4 ++1 2 ++20 4 ++7 2 +-7 6 +-17 2 ++27 10 +320 2 +2935 6 +cob=(5) +cfi=(128) +cfn=(1084) +calls=1 66 +* 10 ++2 2 ++1 2 +cfi=(110) +cfn=(1060) +calls=1 +19 +* 272 +* 1 +1386 1 +-1 1 ++9 8 ++5 1 +-5 1 ++5 3 ++9 2 ++3 4 ++2 4 ++1 7 ++2 7 ++12 5 +-27 1 ++33 2 +1729 5 +-9 4 ++2 2 ++5 5 ++57 2 ++1 2 +-1 3 ++27 4 +cfi=(121) +cfn=(1290) +calls=1 727 +* 15 +* 2 ++3 5 ++11 2 +-1 1 ++1 4 +-1 2 ++1 1 +cfi=(148) +cfn=(1296) +calls=1 99 +* 119 +* 1 ++4 3 ++3 3 ++2 2 ++4 2 ++2 2 ++21 3 +472 1 +1408 1 +-9 1 ++9 1 ++26 4 +1011 2 +1729 5 +358 7 +cob=(5) +cfi=(128) +cfn=(1082) +calls=1 31 +* 13 +* 2 +1013 3 ++2 8 ++10 2 +-10 1 ++10 3 ++71 10 +-3 20 ++45 80 +1025 20 +1138 10 +1025 36 ++2 4 +cfi=(121) +cfn=(1290) +calls=1 727 +* 15 +1140 3 +1785 7 ++57 2 ++1 2 ++14 10 +1413 8 +cfi=(110) +cfn=(1254) +calls=1 2989 +* 214 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +* 1171 +* 15 +cfi=(143) +cfn=(1244) +calls=1 62 +* 14 +* 7 + +fl=(127) +fn=(1118) +1246 5 ++2 15 +cfi=(133) /build/buildd/eglibc-2.15/io/../sysdeps/unix/sysv/linux/wordsize-64/fxstat.c +cfn=(1120) _fxstat +calls=5 37 +* 50 + +fn=(1698) new_do_write +526 6 ++2 1 +-2 2 ++2 2 ++15 5 +cfn=(1700) _IO_file_write@@GLIBC_2.2.5 +calls=1 1282 +* 44 ++1 1 +-1 1 ++1 2 ++7 1 +-4 1 ++4 1 +-4 3 ++1 2 ++3 1 +-2 1 ++4 7 +-18 4 ++9 2 ++6 2 + +fn=(1086) _IO_file_fopen@@GLIBC_2.2.5 +259 40 ++11 8 ++2 12 ++25 4 +-10 4 ++10 37 ++41 3 +229 3 ++1 6 +-1 3 +338 1 +229 1 ++1 2 +-1 1 ++4 4 +cfi=(129) +cfn=(1088) +calls=4 82 +* 28 +* 4 ++4 8 ++3 4 +-1 4 ++1 8 ++1 8 +-1 4 ++1 4 ++7 8 +cfi=(121) +cfn=(1080) _IO_link_in +calls=4 104 +* 44 +358 12 +cfi=(130) /build/buildd/eglibc-2.15/string/../string/strstr.c +cfn=(1092) __GI_strstr +calls=4 53 +* 124 ++1 4 +-1 4 ++1 4 +-62 4 ++32 1 +-32 11 +-21 4 +-1 4 +-15 8 +436 4 +-77 4 ++77 28 + +fn=(1194) _IO_file_close_it@@GLIBC_2.2.5 +163 12 ++2 4 +-2 4 ++2 4 ++4 4 ++3 4 +-3 4 +-1 8 ++6 4 ++3 4 +-3 4 +cfi=(121) +cfn=(1196) _IO_unsave_markers +calls=4 1118 +* 20 ++3 8 ++4 12 ++9 20 +cfi=(121) +cfn=(1044) +calls=4 404 +* 156 ++1 8 ++3 4 +-3 4 ++1 12 ++2 4 +cfi=(121) +cfn=(1192) _IO_un_link +calls=4 64 +* 40 ++5 4 +-4 4 ++1 4 ++1 4 ++2 4 ++1 20 +-23 12 +cfn=(1198) _IO_file_close +calls=4 1273 +* 28 +* 8 + +fn=(1198) +1273 8 +cfi=(129) +cfn=(1200) +calls=4 82 +* 20 + +fn=(1676) _IO_file_overflow@@GLIBC_2.2.5 +850 88 ++1 22 +-1 22 ++1 44 ++7 128 ++35 44 ++3 40 ++3 20 ++1 20 +-1 40 ++1 40 ++1 40 ++4 20 ++1 80 +-45 2 ++12 2 ++9 4 ++5 2 ++2 1 ++1 1 +-4 1 ++4 1 +-6 1 ++1 1 ++4 1 ++1 4 ++1 2 ++3 2 ++1 2 ++11 6 +-12 2 +cfn=(1678) _IO_do_write@@GLIBC_2.2.5 +calls=2 516 +* 108 +-31 2 +cfi=(121) +cfn=(1114) _IO_doallocbuf +calls=1 419 +* 113 ++1 6 + +fn=(1678) +516 4 +-2 4 ++2 2 ++1 2 +-1 1 +cfn=(1698) +calls=1 +10 +* 89 +* 4 ++1 2 + +fn=(1674) _IO_file_xsputn@@GLIBC_2.2.5 +1309 14 ++7 7 +-7 35 ++6 7 +-6 14 ++6 7 ++7 24 ++17 5 ++32 8 +cfn=(1676) +calls=2 850 +* 292 +* 4 ++7 4 ++1 12 ++2 6 ++11 4 ++1 4 +cfi=(121) +cfn=(1050) _IO_default_xsputn +calls=1 452 +* 119 +* 2 +-50 18 ++4 10 +-42 5 ++56 5 +-56 25 ++57 15 +-1 10 ++1 21 +-1 14 +-56 10 ++58 5 +-58 5 ++58 5 ++2 15 ++2 15 ++28 12 ++1 49 +-72 10 ++1 5 +-1 5 ++1 10 ++3 15 ++2 19 +-2 22 ++2 21 ++2 4 +-4 8 ++31 5 +-54 10 + +fn=(1112) _IO_file_xsgetn +1404 1652 ++7 236 +-7 236 ++7 236 ++11 708 ++2 472 +-2 236 ++2 236 ++1 472 ++8 16 ++13 24 ++9 24 ++1 32 +-34 10 ++2 15 ++1 10 ++2 699 +cfi=(143) +cfn=(1244) +calls=233 62 +* 5359 ++1 466 ++69 466 +-1 466 ++1 932 +-61 6 ++5 3 +-5 3 +cfi=(135) +cfn=(1136) +calls=3 62 +* 67 ++6 3 +-6 6 ++22 16 +cfi=(121) +cfn=(1124) __underflow +calls=8 335 +* 786 +* 16 ++39 6 +-1 6 ++1 12 +-83 9 ++5 6 +cfi=(121) +cfn=(1114) +calls=3 419 +* 303 +* 3 + +fn=(1700) +1282 1 ++2 1 +-2 7 ++2 4 ++11 1 ++1 1 +-12 2 ++5 1 +-1 3 ++1 2 +cfi=(129) +cfn=(1702) +calls=1 82 +* 7 ++1 2 ++9 3 ++3 6 +-18 3 + +fn=(1078) _IO_file_init@@GLIBC_2.2.5 +148 12 ++5 4 +-1 4 +-4 4 ++4 4 ++3 4 +cfi=(121) +cfn=(1080) +calls=4 -51 +* 460 ++1 4 ++1 16 + +fn=(1126) _IO_file_underflow@@GLIBC_2.2.5 +558 64 ++8 48 ++6 48 ++3 32 ++13 32 ++20 32 +cfi=(121) +cfn=(1128) _IO_switch_to_get_mode +calls=16 188 +* 320 ++6 16 ++5 64 +-5 32 ++1 16 ++2 16 +-1 32 ++3 16 +cfn=(1130) _IO_file_read +calls=16 1221 +* 208 ++2 32 ++10 13 +-3 13 ++3 26 ++2 26 ++1 52 +-10 3 +-1 3 ++1 3 +fi=(136) +985 3 +fe=(127) +634 3 +-4 3 ++4 9 +-56 3 ++5 2 +cfi=(121) +cfn=(1114) +calls=1 419 +* 101 +* 2 + +fn=(1206) _IO_file_finish@@GLIBC_2.2.5 +207 4 ++1 4 +-1 4 ++1 4 ++6 8 ++1 4 +-1 4 +cfi=(121) +cfn=(1208) _IO_default_finish +calls=4 687 +* 96 + +fn=(1130) +1221 16 ++3 16 +-1 16 ++1 16 ++1 16 +-1 16 +cfi=(129) +cfn=(1132) +calls=16 82 +* 112 + +fn=(2166) _IO_file_setbuf@@GLIBC_2.2.5 +466 2 ++1 1 +cfi=(121) +cfn=(2168) _IO_default_setbuf +calls=1 +95 +* 67 +* 2 ++4 2 +-1 2 ++2 3 ++3 3 + +fn=(2170) _IO_file_sync@@GLIBC_2.2.5 +912 1 ++5 1 +-5 1 ++5 3 ++2 1 ++1 2 ++17 2 ++4 2 + +fl=(118) +fn=(1024) +63 2 ++1 1 + +fl=(45) +fn=(178) +27 12 ++2 6 +-2 6 ++1 12 ++4 12 ++18 24 + +fl=(133) +fn=(1120) +37 5 +-1 5 ++1 5 ++1 30 ++4 5 + +fl=(125) /build/buildd/eglibc-2.15/stdio-common/_itoa.c +fn=(1052) _itoa_word +179 12 ++7 6 ++9 174 ++9 6 + +fl=(156) +fn=(1478) +26 1 ++2 1 ++1 2 ++1 1 ++4 1 ++1 1 ++1 1 ++1 1 ++1 1 ++2 2 ++2 1 ++1 1 ++2 2 ++2 1 ++9 1 +cfi=(157) +cfn=(1480) +calls=1 -26 +* 9 + +fl=(170) +fn=(1560) +70 14000 +cfi=(171) +cfn=(1562) +calls=3500 416 +* 1816376 + +fl=(116) +fn=(960) +35 35 ++8 46 ++4 14 ++4 24 ++3 6 +cfi=(117) +cfn=(962) +calls=6 -25 +* 72 ++1 18 ++3 42 +-14 1 ++1 1 +-1 1 +cfi=(117) +cfn=(962) +calls=1 -15 +* 12 +* 4 + +fl=(123) +fn=(1046) +211 30 ++35 3 +-35 3 ++35 6 +1292 10 ++4 15 ++11 6 ++11 3 +fi=(205) /build/buildd/eglibc-2.15/stdio-common/printf-parse.h +99 6 +fe=(123) +1318 15 +fi=(205) +99 3 +cfi=(124) +cfn=(1048) +calls=3 -72 +* 78 +fe=(123) +1333 3 +fi=(205) +99 3 +fe=(123) +1333 6 ++4 12 +236 3 +1337 15 +cfi=(127) +cfn=(1674) +calls=1 -28 +* 19 +cfi=(121) +cfn=(1050) +calls=2 452 +* 189 +* 3 +253 3 +1337 12 ++4 3 +-4 3 ++4 6 ++4 16 +250 2 +1322 2 +-8 2 +216 4 +1393 45 +-3 5 +-1 5 +-17 5 ++1 5 ++1 5 ++1 5 ++1 5 ++1 5 ++1 5 ++1 5 ++1 5 ++1 5 ++1 5 ++3 5 ++1 5 ++7 5 +1292 4 ++41 4 ++1 14 +1623 158 +cfi=(127) +cfn=(1674) +calls=2 1309 +* 486 +cfi=(121) +cfn=(1050) +calls=1 452 +* 67 +* 9 +2029 6 +cfi=(110) +cfn=(1060) +calls=3 2957 +* 21 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +* 1058 ++1 6 +cfi=(110) +cfn=(1060) +calls=3 2957 +* 21 ++2 15 ++1 15 +cob=(5) +cfi=(128) +cfn=(1084) +calls=1 66 +* 10 ++3 24 +-4 6 +1333 7 +cob=(5) +cfi=(128) +cfn=(1082) +calls=1 31 +* 13 +* 1 ++1 2 ++59 45 +1642 10 ++8 5 +fi=(205) +99 5 +fe=(123) +1650 5 +fi=(205) +99 15 +cfi=(124) +cfn=(1048) +calls=5 -72 +* 115 +fe=(123) +1654 5 +fi=(205) +99 5 +fe=(123) +1654 50 +cfi=(127) +cfn=(1674) +calls=4 1309 +* 436 +cfi=(121) +cfn=(1050) +calls=1 452 +* 87 +* 45 +-14 5 ++16 10 +-12 4 +-21 36 +cfi=(125) +cfn=(1052) +calls=3 179 +* 198 +* 185 +cfi=(188) +cfn=(1680) +calls=2 163 +* 5051 +* 98 + +fl=(176) +fn=(1576) +58 10860 ++6 905 +-6 905 ++6 905 ++13 905 +-1 1810 ++5 905 ++1 1810 ++9 2715 +cfi=(177) +cfn=(1578) +calls=905 -58 +* 18100 +* 905 ++7 905 +-5 1810 ++5 905 ++54 7240 + +fl=(90) +fn=(556) +57 14 +-22 7 ++22 35 +-22 7 +cfn=(558) __new_exitfn +calls=7 +38 +* 294 ++2 14 ++4 14 ++3 7 +-1 7 ++2 7 ++2 7 ++1 7 ++11 35 + +fn=(558) +73 7 ++6 14 +-6 21 ++6 28 ++2 42 ++2 21 ++1 30 +-3 1 ++10 1 +-10 3 ++13 12 ++25 6 ++1 6 +-1 6 ++1 6 +-1 6 ++7 6 ++1 6 ++3 12 +-4 1 ++1 1 ++3 16 ++3 35 +-35 2 ++14 1 ++1 2 +-19 2 + +fl=(113) +fn=(950) +127 3 ++2 1 +-2 6 ++5 1 +-5 2 ++5 2 +cob=(5) +cfi=(109) +cfn=(932) +calls=1 -85 +* 27 ++3 5 ++1 4 ++1 40 ++1 2 +31 1 ++1 1 +-1 1 ++4 2 ++5 1 ++6 1 +-7 1 ++2 3 ++2 3 ++3 1 ++5 7 ++2 1 ++1 2 +-1 1010 ++1 2020 ++2 4890 ++6 10905 ++2 8724 ++1 15883 ++7 2181 +-2 2181 ++2 7554 +-21 2022 ++49 2 ++1 2 ++1 2 ++3 2 ++41 2 +cob=(5) +cfi=(114) +cfn=(952) +calls=1 289 +* 28 ++3 9 +-13 21 +-19 1 ++1 1 ++23 2 + +fl=(121) +fn=(1208) +687 8 ++2 12 ++6 12 ++3 12 ++6 4 ++6 4 +-6 4 +cfn=(1192) +calls=4 64 +* 40 + +fn=(2162) +1007 1 ++3 1 +-3 6 ++3 1 +cfn=(2164) _IO_flush_all_lockp +calls=1 823 +* 88 +-59 1 ++59 1 +-59 2 ++11 2 +-9 12 ++2 2 +-1 4 ++3 3 ++5 16 ++45 1 +-38 5 ++10 5 +cfi=(127) +cfn=(2166) +calls=1 466 +* 82 ++2 2 ++6 3 +-36 9 ++71 9 +-51 1 ++4 1 +-4 1 ++2 1 ++1 1 ++1 1 +-2 1 ++3 4 ++5 3 ++1 11 + +fn=(1124) +335 8 ++2 8 +-2 8 ++2 19 ++6 24 ++3 32 ++2 24 ++6 16 ++7 16 ++1 8 +-1 16 +cfi=(127) +cfn=(1126) +calls=8 558 +* 581 +-24 10 ++22 16 + +fn=(1128) +188 32 +-1 32 ++1 16 ++3 48 ++5 16 +-1 32 ++1 16 ++7 16 +-4 16 ++2 32 ++2 16 ++1 16 ++1 32 + +fn=(1196) +1118 8 ++19 8 ++1 4 + +fn=(2164) +823 1 ++6 1 +-6 7 ++6 2 ++6 1 +-11 1 ++10 1 ++2 2 ++4 2 +-1 3 +-1 3 ++1 3 ++3 9 ++10 6 ++4 3 +-2 3 ++2 6 ++7 3 +-27 6 ++31 2 ++2 2 ++4 9 +-31 12 + +fn=(1050) +452 5 ++4 5 +-1 5 +-3 30 ++3 20 ++5 28 ++2 12 ++3 8 ++10 8 +-27 4 ++31 4 +-31 4 ++31 4 +-31 8 ++32 12 +-1 8 ++1 81 +-1 54 ++2 4 +-2 4 ++2 4 ++2 4 ++2 22 +cfi=(127) +cfn=(1676) +calls=2 850 +* 62 +* 6 ++2 2 ++1 2 ++1 10 ++1 30 +-42 12 + +fn=(1080) +104 32 ++1 24 ++4 4 +-2 8 ++2 8 ++1 40 ++2 4 +-2 4 ++1 4 ++1 4 +-2 4 ++2 4 +-2 4 ++2 52 ++2 4 +-2 4 ++4 4 ++2 4 +-3 4 +-1 4 ++4 28 ++2 4 +-1 4 ++1 32 ++1 32 +cob=(5) +cfi=(128) +cfn=(1084) +calls=4 -55 +* 40 ++3 32 +-15 28 +cob=(5) +cfi=(128) +cfn=(1082) +calls=4 -78 +* 52 +* 4 ++9 28 + +fn=(1114) +419 5 ++1 5 +-1 5 ++1 5 ++6 10 +-4 10 ++1 15 +cfi=(132) +cfn=(1116) +calls=5 99 +* 452 +* 10 + +fn=(1192) +64 48 ++1 24 ++4 12 ++1 40 ++2 4 +-2 4 ++1 4 ++1 64 ++2 12 ++2 8 ++14 8 ++2 4 +-2 4 ++2 28 ++2 4 +-1 4 ++1 36 ++1 32 +cob=(5) +cfi=(128) +cfn=(1084) +calls=4 -29 +* 40 ++3 48 +-29 28 +cob=(5) +cfi=(128) +cfn=(1082) +calls=4 -38 +* 52 +* 4 ++23 24 +-13 4 ++1 4 +-1 8 + +fn=(2168) +562 5 ++1 1 +-1 2 ++1 1 +cfi=(127) +cfn=(2170) +calls=1 912 +* 13 +* 2 ++2 2 ++2 1 ++1 5 +cfn=(1044) +calls=1 404 +* 23 ++7 3 ++1 3 ++2 6 + +fn=(1044) +404 52 ++1 13 +-1 13 ++1 49 ++3 13 ++2 52 +-3 13 ++3 13 ++3 13 +-1 13 ++1 39 +-7 28 +cfi=(134) +cfn=(1202) +calls=4 82 +* 20 +* 16 + +fn=(1536) __uflow +368 8 ++2 8 +-2 8 ++2 16 ++6 24 ++3 32 ++2 24 ++6 16 ++7 16 ++1 8 +-1 16 +cfn=(1538) _IO_default_uflow +calls=8 +46 +* 788 +-24 16 ++22 16 + +fn=(1038) +648 63 ++1 7 +cfn=(1040) _IO_old_init +calls=7 -13 +* 159 ++3 7 +-2 7 ++2 7 ++2 4 ++1 4 ++1 4 ++1 4 ++1 4 ++1 4 ++1 4 ++1 4 ++1 4 ++1 4 ++1 4 ++1 4 ++2 4 ++3 4 ++1 24 +-1 3 ++1 18 + +fn=(1040) +636 7 +-21 7 ++1 7 +-1 7 ++2 7 ++1 7 ++1 7 ++17 7 +-16 7 ++1 7 ++1 7 ++1 7 ++1 7 ++1 7 ++2 7 ++1 7 ++1 7 ++1 7 ++1 7 ++5 7 ++1 19 + +fn=(1538) +440 8 +-1 16 ++1 8 +cfi=(127) +cfn=(1126) +calls=8 558 +* 692 ++1 16 ++2 32 ++1 16 + +fn=(1696) +246 54 ++2 54 +cfi=(127) +cfn=(1676) +calls=18 850 +* 558 + +fn=(1110) +500 708 +cfi=(127) +cfn=(1112) +calls=236 1404 +* 14254 + +fn=(1290) +727 4 ++3 4 +-3 4 ++3 8 ++1 12 ++9 4 ++3 8 +-10 4 ++1 4 +-1 8 + +fl=(149) +fn=(1298) +232 27 ++26 3 +-12 3 ++12 3 ++22 3 +-1 3 ++10 24 ++9 18 ++2 3 +-2 3 ++2 3 ++5 6 ++5 3 +-6 3 ++6 3 ++4 6 ++10 4 ++7 6 ++48 6 ++59 3 +-59 3 ++1 9 ++58 3 ++2 6 ++16 3 +-16 9 ++38 3 +-22 6 +-14 21 ++7 2 +-9 8 ++49 6 ++1 1 ++5 6 ++3 12 +-2 6 ++17 18 ++18 24 +334 12 +-82 3 +376 6 ++90 4 ++4 18 ++3 24 ++5 6 ++1 18 +-41 26 ++46 6 +316 6 + +fl=(68) +fn=(286) +87 1 ++2 1 +-2 5 ++2 1 +-2 1 ++2 4 +-44 1 ++37 1 +-30 2 ++1 3 ++19 3 ++1 1 ++1 1 ++22 1 ++1 1 ++1 1 ++1 2 ++18 2 ++2 4 +-1 2 +-13 4 ++2 2 ++1 3 +-1 1 ++1 2 + +fn=(954) +117 2 ++2 4 +-1 2 ++2 1 + +fl=(189) +fn=(1682) +31 2 +-1 2 ++1 2 ++1 4 ++1 2 ++1 2 + +fl=(78) +fn=(324) +33 7 ++2 4 ++2 4 ++1 1 + +fl=(166) +fn=(1534) _IO_getline_info +63 5010 ++2 501 +-2 1503 ++2 501 ++2 1503 ++2 2505 ++28 508 ++2 1016 +-2 508 ++2 1016 +cfi=(167) +cfn=(1540) +calls=508 -73 +* 23699 ++1 508 +-1 508 ++1 508 ++14 21 ++3 7 +-1 7 +-2 7 +cfi=(143) +cfn=(1244) +calls=7 -52 +* 265 ++1 7 +-46 14 ++2 1548 ++1 1032 ++2 16 +cfi=(121) +cfn=(1536) +calls=8 368 +* 996 ++1 16 ++6 16 ++11 8 +-1 16 +-22 16 ++34 501 ++1 501 +-2 501 ++1 501 +-1 501 ++2 1002 ++2 501 ++2 1002 ++2 2505 +cfi=(143) +cfn=(1244) +calls=501 -48 +* 40343 ++1 501 ++1 501 +-1 501 ++10 4008 +-53 2 + +fn=(1532) +42 1002 +cfn=(1534) +calls=501 +21 +* 97157 + +fl=(126) +fn=(1072) __fopen_internal +68 28 ++8 4 +-8 4 ++8 4 +cfi=(110) +cfn=(942) +calls=4 2910 +* 690 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 -45 +* 1031 ++2 4 +-2 4 ++2 4 ++3 4 ++3 20 +-3 4 ++3 4 +cfi=(121) +cfn=(1038) +calls=4 648 +* 228 ++4 4 ++1 4 +-1 4 ++1 4 +cfi=(127) +cfn=(1078) +calls=4 +59 +* 512 ++4 20 +cfi=(127) +cfn=(1086) +calls=4 259 +* 469 +* 4 ++2 4 +-2 4 ++7 20 +-5 4 +cfn=(1094) __fopen_maybe_mmap +calls=4 -50 +* 16 + +fn=(1070) +107 8 +cfn=(1072) +calls=4 -39 +* 3102 + +fn=(1094) +45 4 +-2 4 ++2 4 ++15 4 + +fl=(141) +fn=(1190) +43 12 ++14 4 +-14 4 ++14 12 ++3 68 ++4 12 +-3 8 +fi=(136) +984 8 ++1 24 +fe=(141) +66 16 +cfi=(127) +cfn=(1206) +calls=4 207 +* 128 ++1 12 ++18 24 ++2 4 ++1 8 +cfi=(110) +cfn=(1060) +calls=4 2957 +* 542 ++4 20 +-10 8 +-20 8 +cfi=(127) +cfn=(1194) +calls=4 163 +* 432 +* 12 +-4 4 +cfi=(121) +cfn=(1192) +calls=4 +6 +* 472 +* 12 +fi=(136) +985 24 +fe=(141) + +fl=(42) +fn=(172) +53 1 +-8 1 ++8 1 ++3 1 +-3 1 ++3 5 ++91 2 ++12 1 ++1 1 ++2 1 ++1 2 +-98 1 +-33 2 ++6 1 +-6 2 ++6 1 ++1 1 ++30 1 +-30 1 ++30 1 +-37 1 ++6 1 ++27 1 +-26 1 ++26 1 ++4 1 ++1 1 +-38 2 ++33 1 ++5 1 ++5 1 ++2 1 +-2 1 ++3 1 ++1 2 ++33 1 +-54 1 ++54 1 ++4 1 +-37 8 + +fn=(204) +170 36 ++4 24 + +fl=(130) +fn=(1092) +53 36 ++10 17 +-5 2 ++6 5 +-1 3 ++2 8 ++24 36 +-15 8 +-11 3 +-5 6 + +ob=(12) +fl=(89) +fn=(548) std::error_category::error_category() +0 12 + +fn=(620) +0 49 + +fn=(506) 0x000000000005b0d0 +0 5 + +fn=(516) 0x000000000005aa90 +0 21 + +fn=(540) +0 3 +cfn=(548) +calls=1 0 +0 4 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1670 +0 7 +cob=(3) +cfi=(90) +cfn=(556) +calls=1 57 +0 65 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1759 +0 2 +cfn=(548) +calls=1 0 +0 4 +0 7 +cob=(3) +cfi=(90) +cfn=(556) +calls=1 57 +0 65 + +fn=(1994) +0 3 +cfn=(1990) std::error_category::~error_category() +calls=1 0 +0 4 + +fn=(530) 0x000000000005b120 +0 5 + +fn=(564) +0 2 +cfn=(566) 0x000000000006d040 +calls=1 0 +0 3290 +0 4 + +fn=(574) __cxa_guard_acquire +0 28 + +fn=(488) +0 6 + +fn=(594) +0 49 + +fn=(482) +0 6 + +fn=(494) +0 11 + +fn=(646) +0 54 + +fn=(1974) +0 10 +cob=(3) +cfi=(196) +cfn=(1736) +calls=1 31 +0 1705 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1895 +0 13 + +fn=(1990) +0 12 + +fn=(500) +0 39 +cfn=(530) +calls=1 0 +0 5 +0 4 +cfn=(516) +calls=1 0 +0 21 +0 7 +cfn=(506) +calls=1 0 +0 5 +0 22 + +fn=(566) +0 5 +cfn=(574) +calls=1 0 +0 28 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1599 +0 4 +cfn=(548) +calls=1 0 +0 4 +0 4 +cfn=(586) __cxa_guard_release +calls=1 0 +0 7 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1567 +0 4 +cob=(3) +cfi=(90) +cfn=(556) +calls=1 57 +0 65 +0 3 + +fn=(648) +0 21 + +fn=(1984) +0 3 +cfn=(1990) +calls=1 0 +0 4 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1549 + +fn=(586) +0 7 + +fn=(1992) +0 3 +cfn=(1990) +calls=1 0 +0 4 + +ob=(13) +fl=(91) +fn=(662) +0 6 + +fn=(656) +0 6 + +fn=(668) +0 11 + +fn=(1954) +0 10 +cob=(3) +cfi=(196) +cfn=(1736) +calls=1 31 +0 86 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1895 +0 13 + +ob=(20) +fl=(158) +fn=(1486) IntegerArgument +206 8 ++1 6 ++6 10 +cob=(3) +cfi=(159) +cfn=(1494) +calls=1 89 +* 23 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +* 1615 +* 1 ++1 2 ++18 9 +cob=(3) +cfi=(160) +cfn=(1500) +calls=1 27 +* 141 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +* 1478 +* 1 ++1 2 ++5 3 ++1 5 ++2 4 ++1 2 + +fn=(1482) +40 5 ++2 3 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++1 1 ++3 2 ++9 5 +cfn=(1484) HandleArguments +calls=1 +41 +* 3419 ++3 3 ++9 3 +cob=(3) +cfi=(161) +cfn=(1508) +calls=1 -35 +* 147 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 -45 +* 1718 ++1 3 +cfi=(153) +cfn=(1514) atexit +calls=1 -77 +* 1830 ++1 3 +cfi=(153) +cfn=(1514) +calls=1 -78 +* 71 ++1 4 +cfi=(164) +cfn=(1520) System_Init +calls=1 +76 +* 2485696 ++3 3 +cob=(16) +cfi=(142) +cfn=(1222) +calls=1 -82 +* 3 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 -51 +* 2040 +* 2 ++6 1 +cob=(3) +cfi=(178) +cfn=(1592) +calls=1 -62 +* 65 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 -57 +* 1422 +* 1 ++1 5 +cfi=(184) /home/sam/Documents/University/honours/course/semester2/pprog/assignment1/nbody-bh/nbody.c +cfn=(1604) Simulation_Run +calls=1 -63 +* 1299271874 ++5 2 +cob=(3) +cfi=(186) +cfn=(1662) +calls=1 +6 +* 64447 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 -63 +* 1577 + +fn=(1484) +105 5 ++1 2 ++2 24 ++4 3 ++1 6 ++9 1 ++2 24 ++16 7 +cfn=(1486) +calls=1 +66 +* 3310 ++1 3 ++15 4 ++1 1 +-11 2 +-40 25 ++87 2 + +fl=(153) +fn=(1514) +0 12 +cob=(3) +cfi=(90) +cfn=(556) +calls=2 57 +0 130 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1759 + +fn=(1464) +0 6 + +fn=(1458) +0 6 + +fn=(1470) +0 11 + +fn=(1444) +0 11 +cob=(3) +cfi=(154) +cfn=(1452) +calls=1 96 +0 1301834567 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1822 + +fn=(1454) +0 15 +cob=(2) +cfi=(14) +cfn=(1456) +calls=1 0 +0 29 +0 10 + +fn=(1714) +0 18 + +fl=(185) /home/sam/Documents/University/honours/course/semester2/pprog/assignment1/nbody-bh/tree.c +fn=(1624) Node_AddBody +166 202585 ++1 40517 ++1 81034 ++2 24509352 ++2 270795 ++1 193425 ++1 77370 +-6 15286988 ++12 10992 ++1 7328 ++2 8694 +cob=(3) +cfi=(110) +cfn=(986) +calls=1449 3233 +* 329764 +* 5796 ++3 3447 +cob=(3) +cfi=(110) +cfn=(1254) +calls=383 2989 +* 54654 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +* 1711 +* 766 ++1 5362 +cob=(3) +cfi=(101) +cfn=(778) +calls=383 44 +* 9776 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +* 1695 ++5 12824 ++1 9160 ++1 1832 ++2 81034 + +fn=(1636) Node_SetSpace +7 166520 ++1 66608 ++2 699384 ++1 699384 +-3 366344 ++5 66608 + +fn=(1640) Node_CalculateMass +241 40 ++1 30 ++1 40 ++3 40 ++10 20 ++1 150 +-1 110 ++3 20 ++2 480 ++2 480 +cfn=(1641) Node_CalculateMass'2 +calls=80 -22 +* 3893620 +* 80 ++1 400 ++1 160 ++1 4080 +-1 880 +-6 260 ++10 20 ++1 330 +-1 110 ++4 40 ++1 20 + +fn=(1641) +241 121632 ++1 91224 ++1 121632 ++1 42510 ++2 36612 ++2 21448 +cfn=(1642) Node_Body +calls=5362 356 +* 187670 +* 5362 ++1 32172 ++1 10724 ++1 144774 +-1 58982 ++3 16086 ++3 7582 ++1 56865 +-1 41701 ++3 7582 ++2 181968 ++2 181968 +cfn=(1641) +calls=30328 -22 +* 12716645 +* 30328 ++1 151640 ++1 60656 ++1 1546728 +-1 333608 +-6 98566 ++10 7582 ++1 125103 +-1 41701 ++4 15164 ++1 7582 +-1 53234 ++1 53234 + +fn=(1620) Node_FindBodies +53 166665 ++3 133332 ++2 19782 ++1 363348 +-1 342354 ++3 66666 ++2 133332 ++2 58 ++2 174000 +cfn=(1622) Node_ContainsBody +calls=14500 417 +* 1295796 +* 29000 ++1 135600 +cfn=(1624) +calls=11300 +98 +* 36440557 +-3 72645 ++8 66608 ++2 4041488 +cfn=(1622) +calls=367408 417 +* 15299946 +* 734816 ++1 321387 +cfn=(1624) +calls=29217 +90 +* 4766344 +-3 2370968 ++7 66666 ++1 66666 + +fn=(1650) Update_Tree +232 50 ++1 50 +cfn=(1618) Node_FitSystem +calls=10 -13 +* 17124090 ++2 50 +cfn=(1634) Node_Subdivide +calls=10 90 +* 46249411 ++1 20 ++1 20 + +fn=(1614) Node_Create +331 17956 ++1 13467 +cob=(3) +cfi=(110) +cfn=(986) +calls=4489 3233 +* 1137064 +* 4489 ++2 13467 ++12 4489 ++2 8978 + +fn=(1622) +417 1527632 ++1 763816 ++1 273136 ++1 490680 ++2 6198080 ++1 4924048 ++1 409646 +-4 1204371 ++6 40517 ++1 763816 + +fn=(1618) +220 55 ++1 11 ++2 14 ++2 147 ++1 147 +-3 77 +-2 90 +cfn=(1620) +calls=18 53 +* 19433811 +* 72 ++8 22 + +fn=(1616) Generate_Tree +204 5 ++1 2 ++2 12 ++1 12 +-3 11 ++6 5 +cfn=(1618) +calls=1 +9 +* 2310356 ++3 5 +cfn=(1634) +calls=1 90 +* 7006303 ++2 2 ++1 2 + +fn=(1652) Node_Destroy +22 4 ++2 2 ++5 4 ++2 4 +cob=(3) +cfi=(110) +cfn=(1060) +calls=1 2957 +* 120 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 * +* 1577 ++1 2 ++2 2 ++1 2 ++2 2 ++2 48 +cfn=(1653) Node_Destroy'2 +calls=8 -17 +* 1980747 ++1 48 +cob=(3) +cfi=(110) +cfn=(1060) +calls=8 2957 +* 1119 ++1 32 +-4 27 ++7 2 + +fn=(1653) +22 143648 ++2 71824 ++5 17952 ++2 5792 +cob=(3) +cfi=(110) +cfn=(1060) +calls=1448 2957 +* 122594 ++1 2896 ++2 2896 ++1 2896 ++2 2896 +-3 6080 ++1 6080 ++2 6080 ++2 215424 +cfn=(1653) +calls=35904 -17 +* 8545638 ++1 215424 +cob=(3) +cfi=(110) +cfn=(1060) +calls=35904 2957 +* 790225 ++1 143616 +-4 121176 +-12 31424 ++19 71824 + +fn=(1634) +90 55 ++1 55 +cfn=(1620) +calls=11 -38 +* 18836312 +* 22 ++2 11 ++2 22 ++1 231 +-1 121 ++3 22 ++2 528 ++1 24 +cfn=(1614) +calls=8 331 +* 2278 +* 32 ++3 440 ++3 33 ++1 33 ++1 33 ++1 11 ++2 55 ++1 33 ++1 33 ++1 11 ++2 33 ++1 55 ++1 33 ++1 11 ++2 33 ++1 33 ++1 55 ++1 11 ++2 55 ++1 55 ++1 33 ++1 11 ++2 55 ++1 33 ++1 55 ++2 11 ++2 33 ++1 55 ++1 55 ++1 11 ++2 55 ++1 55 ++1 55 ++1 11 ++3 99 +cfn=(1636) +calls=11 7 +* 682 +* 693 +cfn=(1636) +calls=77 7 +* 4774 ++1 704 +cfn=(1635) Node_Subdivide'2 +calls=88 -60 +* 34406882 +* 88 ++1 176 +-53 286 ++55 11 ++1 22 + +fn=(1635) +90 166520 ++1 166520 +cfn=(1620) +calls=33304 -38 +* 28837901 +* 66608 ++1 87456 ++1 4152 ++2 8304 ++1 87192 +-1 45672 ++3 8304 ++2 199296 ++1 13440 +cfn=(1614) +calls=4480 331 +* 1197285 +* 17920 ++3 166080 ++3 12456 ++1 12456 ++1 12456 ++1 4152 ++2 20760 ++1 12456 ++1 12456 ++1 4152 ++2 12456 ++1 20760 ++1 12456 ++1 4152 ++2 12456 ++1 12456 ++1 20760 ++1 4152 ++2 20760 ++1 20760 ++1 12456 ++1 4152 ++2 20760 ++1 12456 ++1 20760 ++2 4152 ++2 12456 ++1 20760 ++1 20760 ++1 4152 ++2 20760 ++1 20760 ++1 20760 ++1 4152 ++3 37368 +cfn=(1636) +calls=4152 7 +* 257424 +* 261576 +cfn=(1636) +calls=29064 7 +* 1801968 ++1 265728 +cfn=(1635) +calls=33216 -60 +* 78777867 +* 33216 ++1 66432 +-53 107952 ++55 4152 ++1 66608 + +fn=(1642) +356 10745448 ++1 2686362 ++1 2686362 ++1 5372724 ++2 21490896 ++1 2686362 ++1 8059086 ++2 18804534 ++1 2686362 +-7 10745448 ++11 2686362 ++1 5372724 + +fn=(1644) Node_Forces +277 30000 ++1 20000 ++3 85000 ++5 10000 ++2 20000 ++17 35000 ++14 5000 ++1 10000 ++2 240000 ++2 360000 +cfn=(1645) Node_Forces'2 +calls=40000 -47 +* 1218628564 +* 40000 +-4 130000 ++7 5000 ++1 10000 + +fn=(1645) +277 91224000 ++1 60816000 ++1 21255000 ++2 77800500 ++5 9153000 ++2 18306000 ++2 10724000 +cfn=(1642) +calls=2681000 +66 +* 93835000 +* 2681000 ++1 8043000 ++1 10724 ++2 5351276 ++1 184619022 +-1 29432018 ++3 34783294 ++1 26756380 ++1 8026914 ++1 5351276 ++1 152511366 +-1 29432018 ++2 5351276 ++3 13268500 ++14 1895500 ++1 3791000 ++2 90984000 ++2 136476000 +cfn=(1645) +calls=15164000 -47 +* 4651568394 +* 15164000 +-4 49283000 ++7 1895500 ++1 30408000 + +fl=(164) +fn=(1638) ExitCondition +270 33 ++1 11 ++1 33 +-1 22 ++1 44 ++1 10 +-1 32 +-1 10 ++4 10 ++1 20 +-5 1 ++4 1 ++1 2 + +fn=(1520) +155 8 ++5 5 +cob=(3) +cfi=(126) +cfn=(1070) +calls=1 -53 +* 544 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +* 1635 +* 1 ++1 5 +cob=(3) +cfi=(165) +cfn=(1530) +calls=1 37 +* 414 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +* 1558 +* 2 +cob=(3) +cfi=(160) +cfn=(1500) +calls=1 27 +* 171 +* 3 ++1 6 +cob=(3) +cfi=(110) +cfn=(986) +calls=1 3233 +* 3999 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +* 1498 +* 3 ++1 2 ++4 2 ++2 2500 +cob=(3) +cfi=(165) +cfn=(1530) +calls=500 37 +* 132314 +* 1000 ++2 4500 ++1 2500 +cob=(3) +cfi=(168) +cfn=(1552) +calls=500 69 +* 48501 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +* 1660 +* 500 ++1 1500 +cob=(3) +cfi=(169) +cfn=(1558) +calls=500 28 +* 188011 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +* 1502 +* 1000 ++2 1000 ++2 6000 +cob=(3) +cfi=(168) +cfn=(1552) +calls=1500 69 +* 173046 +* 1500 ++1 4500 +cob=(3) +cfi=(169) +cfn=(1558) +calls=1500 28 +* 697374 +* 4500 +-3 5500 ++5 1000 ++2 6000 +cob=(3) +cfi=(168) +cfn=(1552) +calls=1500 69 +* 169462 +* 1500 ++1 4500 +cob=(3) +cfi=(169) +cfn=(1558) +calls=1500 28 +* 951991 +* 6000 +-3 5500 ++7 500 ++1 2000 +cob=(3) +cfi=(168) +cfn=(1552) +calls=500 69 +* 41500 +* 500 +-1 2000 +-20 2504 ++28 3 +cob=(3) +cfi=(141) +cfn=(1190) +calls=1 43 +* 452 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +* 1515 ++1 5 + +fn=(1666) +245 3 ++1 1 +cob=(3) +cfi=(178) +cfn=(1592) +calls=1 26 +* 65 +* 1 ++2 4 +cob=(16) +cfi=(142) +cfn=(1222) +calls=1 0 +* 3 +* 2 ++5 22 ++1 9 ++1 14 +cob=(3) +cfi=(187) +cfn=(1672) +calls=1 30 +* 7090 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +* 1698 ++1 2 + +fn=(1706) +204 3 ++2 3 ++26 3 +cob=(3) +cfi=(110) +cfn=(1060) +calls=1 2957 +* 132 ++2 2 + +fn=(1648) Body_Position +96 15000 ++1 10000 ++1 195000 +-1 55000 ++2 10000 + +fn=(1646) Body_Velocity +85 15000 ++1 10000 ++1 270000 +-1 55000 ++2 10000 + +fl=(184) +fn=(1604) +26 5 ++2 3 ++1 1 +cob=(15) +cfi=(93) +cfn=(1610) +calls=1 -29 +* 8 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 +2 +* 1732 +* 1 ++2 3 ++28 1 +cfn=(1612) Compute +calls=1 +8 +* 1299270118 ++4 2 + +fn=(1612) +67 3 ++1 2 +cfi=(185) +cfn=(1614) +calls=1 331 +* 347 +* 1 ++2 4 +cfi=(185) +cfn=(1616) +calls=1 204 +* 9316715 ++2 1 ++2 30 +cfi=(185) +cfn=(1640) +calls=10 241 +* 3901410 ++1 20 ++2 10000 ++1 165000 +-1 55000 ++2 60000 +cfi=(185) +cfn=(1644) +calls=5000 277 +* 1219628564 ++1 45000 +cfi=(164) +cfn=(1646) +calls=5000 +5 +* 360000 +-5 20030 ++8 20 ++3 45000 +cfi=(164) +cfn=(1648) +calls=5000 +10 +* 285000 +-3 20030 ++6 40 +cfi=(185) +cfn=(1650) +calls=10 232 +* 63373691 ++2 30 ++1 30 +-20 11 +cfi=(164) +cfn=(1638) +calls=11 270 +* 229 +* 33 ++26 3 +cfi=(185) +cfn=(1652) +calls=1 -76 +* 1983742 ++1 3 +cob=(3) +cfi=(110) +cfn=(1060) +calls=1 2957 +* 127 ++1 2 + +ob=(8) +fl=(84) +fn=(2104) +0 10 +cob=(3) +cfi=(196) +cfn=(1736) +calls=1 31 +0 86 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1895 +0 13 + +fn=(386) +0 6 + +fn=(380) +0 6 + +fn=(392) +0 11 + +fl=(200) +fn=(2100) check_free +188 3 ++1 3 ++12 3 + +fn=(2098) +208 2 +cfn=(2100) +calls=1 -20 +* 9 + +fl=(85) +fn=(398) +30 1 ++1 1 ++1 1 + +ob=(11) +fl=(88) +fn=(2022) +0 10 +cob=(3) +cfi=(196) +cfn=(1736) +calls=1 31 +0 86 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1895 +0 13 + +fn=(448) +0 6 + +fn=(442) +0 6 + +fn=(454) +0 11 + +ob=(19) +fl=(152) +fn=(1430) +0 6 + +fn=(1724) +0 10 +cob=(3) +cfi=(196) +cfn=(1736) +calls=1 31 +0 86 +cob=(1) +cfi=(49) +cfn=(198) +calls=1 31 +0 1296 +0 13 + +fn=(1424) +0 6 + +fn=(1436) +0 11 + +totals: 1305015743 diff --git a/course/semester2/pprog/assignment1/nbody-bh/cubes.png b/course/semester2/pprog/assignment1/nbody-bh/cubes.png new file mode 100644 index 00000000..436c74d7 Binary files /dev/null and b/course/semester2/pprog/assignment1/nbody-bh/cubes.png differ diff --git a/course/semester2/pprog/assignment1/nbody-bh/efficiency.png b/course/semester2/pprog/assignment1/nbody-bh/efficiency.png new file mode 100644 index 00000000..955b3636 Binary files /dev/null and b/course/semester2/pprog/assignment1/nbody-bh/efficiency.png differ diff --git a/course/semester2/pprog/assignment1/nbody-bh/error.png b/course/semester2/pprog/assignment1/nbody-bh/error.png new file mode 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b/course/semester2/pprog/assignment1/nbody-bh/error_zoom.png new file mode 100644 index 00000000..8225d327 Binary files /dev/null and b/course/semester2/pprog/assignment1/nbody-bh/error_zoom.png differ diff --git a/course/semester2/pprog/assignment1/nbody-bh/graphics.c b/course/semester2/pprog/assignment1/nbody-bh/graphics.c new file mode 120000 index 00000000..6fc2284c --- /dev/null +++ b/course/semester2/pprog/assignment1/nbody-bh/graphics.c @@ -0,0 +1 @@ +../single-thread/graphics.c \ No newline at end of file diff --git a/course/semester2/pprog/assignment1/nbody-bh/graphics.h b/course/semester2/pprog/assignment1/nbody-bh/graphics.h new file mode 120000 index 00000000..aebee138 --- /dev/null +++ b/course/semester2/pprog/assignment1/nbody-bh/graphics.h @@ -0,0 +1 @@ +../single-thread/graphics.h \ No newline at end of file diff --git a/course/semester2/pprog/assignment1/nbody-bh/graphics.o b/course/semester2/pprog/assignment1/nbody-bh/graphics.o new file mode 100644 index 00000000..d2bec612 Binary files /dev/null and b/course/semester2/pprog/assignment1/nbody-bh/graphics.o differ diff --git a/course/semester2/pprog/assignment1/nbody-bh/kcachegrind.png b/course/semester2/pprog/assignment1/nbody-bh/kcachegrind.png new file mode 100644 index 00000000..f989d1c2 Binary files /dev/null and b/course/semester2/pprog/assignment1/nbody-bh/kcachegrind.png differ diff --git a/course/semester2/pprog/assignment1/nbody-bh/main.c b/course/semester2/pprog/assignment1/nbody-bh/main.c new file mode 120000 index 00000000..37e59853 --- /dev/null +++ b/course/semester2/pprog/assignment1/nbody-bh/main.c @@ -0,0 +1 @@ +../single-thread/main.c \ No newline at end of file diff --git a/course/semester2/pprog/assignment1/nbody-bh/main.c~ b/course/semester2/pprog/assignment1/nbody-bh/main.c~ new file mode 100644 index 00000000..e9bb3acf --- /dev/null +++ b/course/semester2/pprog/assignment1/nbody-bh/main.c~ @@ -0,0 +1,296 @@ +/** + * @file main.c + * @author Sam Moore (20503628) - 2012 + * @purpose Contains main function, argument handling + * NOTE: This file is identical for both the single-threaded and multi-threaded versions of the program + */ + +#include +#include +#include +#include +#include // For parsing arguments + +#include "nbody.h" +#include "graphics.h" + +// --- Variable definitions --- // +System universe; // global variable declared in "nbody.h" - The universe of bodies +Options options; // global variable declared in "nbody.h" - Options passed to program through arguments + + +// --- Function forward declarations --- // +void HandleArguments(int argc, char ** argv); //Interprets program arguments and sets up the "options" variable +unsigned IntegerArgument(unsigned * i, int argc, char ** argv, int * store, int * store2); //Helper function to get integer switch +void FloatArgument(unsigned * i, int argc, char ** argv, float * store); //Helper function to get switch value for float +void DisplayStatistics(); //Called on exit of program, displays information about computation time, steps computed, etc +void Interrupt(int dummy); // Interrupt handler function, called when SIGINT (Ctrl-C) is sent to program + + +// --- Function implementations --- // + +/** + * @function main + * @purpose The main function. Calls HandleArguments to set up options, + * sets up functions to call at exit, starts simulation and graphics loops + * @param argc - Number of arguments + * @param argv - The argument strings + */ +int main(int argc, char** argv) +{ + //Set default options values here + options.program = argv[0]; + options.input = NULL; + options.output = NULL; + options.num_threads = 0; + options.nested_threads = 0; + options.num_steps = -1; // Negative values => simulation runs forever unless otherwise specified + options.timeout = -1; + options.draw_graphics = true; + options.pedantic_graphics = false; + options.print_positions = false; + options.verbosity = 0; + options.theta = 0.50; + + //If there are no arguments, print information about usage + if (argc == 1) + { + printf("Usage: %s [OPTIONS] field\n", argv[0]); + printf("Controls:\n X - exit\n I, J, K, M - rotate\n W, Z, A, S - move to view" + " point\n ./, - zoom in/out\n +/- - scaled zoom in/out\n"); + exit(EXIT_SUCCESS); + } + + //Parse the arguments + HandleArguments(argc, argv); + + //Check there is an initial field. + if (options.input == NULL) + { + fprintf(stderr, "Usage: %s [OPTIONS] field\n", argv[0]); + fprintf(stderr, " (You did not provide a file for the initial field of bodies)\n"); + exit(EXIT_FAILURE); + } + + + + signal(SIGINT, Interrupt); //Handle SIGINT signals + atexit(Universe_Cleanup); //On exit, cleanup universe (and write positions of bodies to file if supplied). + atexit(DisplayStatistics); //On exit, print information about the computations done + System_Init(&universe,options.input); //Initialise the universe from the initial field + + //Setup the time of day at which the simulation starts + if (gettimeofday(&(options.start_time), NULL) != 0) + { + perror("Couldn't get time of day"); + exit(EXIT_FAILURE); + } + + options.start_clock = clock(); //Get CPU cycles executed before simulation starts + Simulation_Run(argc, argv); // Start the simulation + + //printf("Main thread done!\n"); + + //pthread_exit(NULL); + exit(EXIT_SUCCESS); //Should never get to this line +} + + +/** + * @function HandleArguments + * @purpose Fill the "options" variable by parsing command line arguments + * @param argc - Number of arguments + * @param argv - Argument strings + */ +void HandleArguments(int argc, char ** argv) +{ + for (unsigned i = 1; i < argc; ++i) //For all arguments + { + if (argv[i][0] != '-') //If the argument is not a switch value... + { + //Interpret first non switch as input file, and second as output file. + //If there are too many non switch arguments, give an error. + if (options.input == NULL) + options.input = argv[i]; + else if (options.output == NULL) + options.output = argv[i]; + else + { + fprintf(stderr,"Usage: %s [OPTIONS] field [output]\n", argv[0]); + fprintf(stderr," (You provided too many file names)\n"); + exit(EXIT_FAILURE); + } + continue; + } + switch (argv[i][1]) //The argument is a switch if we get here + { + case 'n': //Number of threads switch + IntegerArgument(&i, argc, argv, &(options.num_threads), &(options.nested_threads)); + #ifdef SINGLE_THREADED + fprintf(stderr, "Warning: -%c switch has no effect in the single-threaded program.\n", 'n'); + + #else + if (options.num_threads <= 0) + { + fprintf(stderr, "Require at least one thread (-%c %s is invalid).\n",'n', argv[i]); + exit(EXIT_FAILURE); + } + #endif //SINGLE_THREADED + break; + case 's': //Number of steps switch + IntegerArgument(&i, argc, argv, &(options.num_steps), NULL); + if (options.num_steps < 0) + { + fprintf(stderr, "Require zero or more steps to run (-%c %s is invalid).\n", 's', argv[i]); + exit(EXIT_FAILURE); + } + break; + case 't': //Timeout switch (in seconds) + IntegerArgument(&i, argc, argv, &(options.timeout), NULL); + if (options.timeout < 0) + { + fprintf(stderr, "Require a timeout greater or equal to zero (-%c %s is invalid).", 't', argv[i]); + exit(EXIT_FAILURE); + } + break; + case 'g': //Graphics switch + options.draw_graphics = !options.draw_graphics; + break; + case 'v': //Verbosity switch + IntegerArgument(&i, argc, argv, &(options.verbosity), NULL); + break; + + case '-': + if (strcmp(argv[i]+2, "pedantic-graphics") == 0) + { + options.pedantic_graphics = true; + #ifdef SINGLE_THREADED + fprintf(stderr, "Warning: %s switch has no effect in the single threaded program.\n", argv[i]); + #endif //SINGLE_THREADED + } + else if (strcmp(argv[i]+2, "fast-graphics") == 0) + { + options.pedantic_graphics = false; + #ifdef SINGLE_THREADED + fprintf(stderr, "Warning: %s switch has no effect in the single threaded program.\n", argv[i]); + #endif //SINGLE_THREADED + + } + else if (strcmp(argv[i]+2, "theta") == 0) + { + FloatArgument(&i, argc, argv, &(options.theta)); + #ifndef BARNES_HUT + fprintf(stderr, "Warning: %s switch only works in Barnes Hut version.\n", argv[i-1]); + #else + if (options.theta < 0) + { + fprintf(stderr, "Require a theta value greater or equal to zero (%s %s is invalid).\n", argv[i-1], argv[i]); + exit(EXIT_FAILURE); + } + + #endif //BARNS_HUT + + } + else + { + fprintf(stderr, "Unrecognised switch %s\n", argv[i]); + exit(EXIT_FAILURE); + } + break; + + + default: + fprintf(stderr, "Unrecognised switch -%c\n", argv[i][1]); + exit(EXIT_FAILURE); + break; + } + + } +} + +/** + * @function IntegerArgument + * @purpose Helper function to get up to two integers following a argument switch, seperated by ':' + * @param i - position in the argument array, will be updated after this function + * @param argc - number of arguments + * @param argv - argument strings + * @param store - pointer to unsigned to store result in + * @param store2 - pointer to second integer (set to NULL if there is only one integer) + * @returns 1 if store was filled, 2 if both store1 and store2 were filled + */ +unsigned IntegerArgument(unsigned * i, int argc, char ** argv, int * store, int * store2) +{ + if (*i >= argc-1) + { + fprintf(stderr,"Supply a positive integer for the -%c switch.\n", argv[*i][1]); + exit(EXIT_FAILURE); + } + + char * seperator = strstr(argv[*i+1], ":"); + if (seperator != NULL) + { + if (store2 == NULL) + { + fprintf(stderr,"Supply a positive integer for the -%c switch.\n", argv[*i][1]); + exit(EXIT_FAILURE); + } + int val = atoi(seperator+1); + if (val <= 0) + { + fprintf(stderr,"Supply a positive integer for the -%c switch.\n", argv[*i][1]); + exit(EXIT_FAILURE); + } + *store2 = (unsigned)val; + + *seperator = '\0'; + } + + int val = atoi(argv[*i+1]); + if (val <= 0 && strcmp("0", argv[*i+1]) != 0) + { + fprintf(stderr,"Supply a positive integer for the -%c switch. %s is invalid.\n", argv[*i][1], argv[*i+1]); + exit(EXIT_FAILURE); + } + *store = val; + *i += 1; + + return (seperator == NULL) ? 1 : 2; +} +/** + * @function FloatArgument + * @purpose Helper function to get a float following a argument switch + * @param i - position in the argument array, will be updated after this function + * @param argc - number of arguments + * @param argv - argument strings + * @param store - pointer to float to store result in + */ +void FloatArgument(unsigned * i, int argc, char ** argv, float * store) +{ + if (*i >= argc-1) + { + fprintf(stderr,"Supply a float for the -%c switch.\n", argv[*i][1]); + exit(EXIT_FAILURE); + } + *store = atof(argv[*i+1]); + if (*store == 0.0 && argv[*i+1][0] != '0') + { + fprintf(stderr,"Supply a float for the -%c switch.\n", argv[*i][1]); + exit(EXIT_FAILURE); + } + *i += 1; +} + + + +/** + * @function Interrupt + * @purpose Handle SIGINT signal; quit the program gracefully, so that statistics are still displayed + * @param dummy - a dummy + */ + +void Interrupt(int dummy) +{ + QuitProgram(false); +} + + diff --git a/course/semester2/pprog/assignment1/nbody-bh/main.o b/course/semester2/pprog/assignment1/nbody-bh/main.o new file mode 100644 index 00000000..6cd24933 Binary files /dev/null and b/course/semester2/pprog/assignment1/nbody-bh/main.o differ diff --git a/course/semester2/pprog/assignment1/nbody-bh/nbody b/course/semester2/pprog/assignment1/nbody-bh/nbody new file mode 100755 index 00000000..e62f5517 Binary files /dev/null and b/course/semester2/pprog/assignment1/nbody-bh/nbody differ diff --git a/course/semester2/pprog/assignment1/nbody-bh/nbody.c b/course/semester2/pprog/assignment1/nbody-bh/nbody.c new file mode 100644 index 00000000..1a6d46c0 --- /dev/null +++ b/course/semester2/pprog/assignment1/nbody-bh/nbody.c @@ -0,0 +1,249 @@ +/** + * @file nbody.c + * @purpose Barnes Hut OpenMP version of N-Body simulator, implementation + * @author Sam Moore (20503628) - 2012 + */ + +#include "nbody.h" +#include "../single-thread/nbody.c" // Include original code +#include "graphics.h" // For Graphics functions + +#include "tree.h" + + + +omp_lock_t runstate_lock; + +#ifdef USE_THREADS +omp_lock_t nested_lock; +#endif //USE_THREADS + +Node * parent = NULL; + +/** + * @function Simulation_Run + * @purpose Start the simulation + * @param argc, argv - Passed to Graphics_Run if needed, otherwise unused + */ +void Simulation_Run(int argc, char ** argv) +{ + + omp_init_lock(&runstate_lock); + #ifdef USE_THREADS + omp_init_lock(&nested_lock); + #endif //USE_THREADS + + #ifdef DUAL_UNIVERSE + if (!options.pedantic_graphics) + { + fprintf(stderr, "Warning: Using pedantic graphics to ensure alternate reality matches our own (as closely as possible).\n"); + options.pedantic_graphics = true; + } + #endif //DUAL_UNIVERSE + + omp_set_nested(1); + if (omp_get_nested() == 0) + { + fprintf(stderr, "Couldn't enable nested parallelism\n."); + exit(EXIT_FAILURE); + } + + if (options.num_threads == 0) + { + options.num_threads = omp_get_max_threads(); + if (options.draw_graphics) + options.num_threads -= 1; + } + if (options.nested_threads == 0) + { + options.nested_threads = omp_get_max_threads() - options.num_threads; + if (options.nested_threads == 0) + options.nested_threads = 1; + } + + #ifdef DUAL_UNIVERSE + System_Init(&alternate_universe, options.input); + #endif //DUAL_UNIVERSE + + if (options.draw_graphics) + { + Graphics_Run(argc, argv); + if (options.pedantic_graphics == false) + { + + + + #pragma omp parallel num_threads(2) + { + // This can't be done with sections! + // Because glut is useless, and can only be dealt with in the main thread + // I just hope that thread "0" is always the main thread! + if (omp_get_thread_num() == 0) // #pragma omp section + { + //printf("Thread %d gets graphics\n", omp_get_thread_num()); + glutMainLoop(); + QuitProgram(false); // Program gets to here if the window is quit + } + else // #pragma omp section + { + //printf("Thread %d gets computations\n", omp_get_thread_num()); + Compute(); + } + + } + return; + } + } + Compute(); + + omp_destroy_lock(&runstate_lock); + #ifdef USE_THREADS + omp_destroy_lock(&nested_lock); + #endif //USE_THREADS + + + +} + +/** + * @function Compute + * @purpose The main computation loop + * Uses threading, but only on the first level + * I tried to introduce threading to some of the recursive functions in the tree... + * But failed + */ +void Compute(void) +{ + omp_set_nested(1); + if (omp_get_nested() == 0) + { + fprintf(stderr, "Couldn't enable nested parallelism\n."); + exit(EXIT_FAILURE); + } + + omp_set_num_threads(options.num_threads); + if (omp_get_max_threads() != options.num_threads) + { + fprintf(stderr, "Couldn't use %d threads!\n", options.num_threads); + exit(EXIT_FAILURE); + } + + parent = Node_Create(NULL); + + Generate_Tree(&universe, parent); + + + + +#pragma omp parallel +{ + while (!ExitCondition()) + { + #pragma omp single + { + Node_CalculateMass(parent); + } + + #pragma omp for // The easiest way to parallelise it + for (unsigned a = 0; a < universe.N; ++a) + { + for (unsigned i = 0; i < DIMENSIONS; ++i) + universe.body[a].F[i] = 0; + + Node_Forces(universe.body+a, parent, options.theta); + //printf("Forces on %p done\n", (void*)(universe.body+a)); + Body_Velocity(universe.body+a); + } + + // put a nowait here so that the first thread out can start updating the tree + #pragma omp for nowait + for (unsigned a = 0; a < universe.N; ++a) + { + + Body_Position(universe.body+a); + } + + #pragma omp single // Ideally the first thread out should do this + { + Update_Tree(&universe, parent); + } + + // I haven't noticed any difference in performance. + // I'm just showing off. + #pragma omp barrier + + // Only the master may do stuff with graphics + #pragma omp master + { + if (options.draw_graphics && options.pedantic_graphics) + { + glutMainLoopEvent(); + Graphics_Display(); + } + } + + // Someone should do this stuff too + #pragma omp single + { + universe.steps += 1; + if (options.verbosity != 0 && universe.steps % options.verbosity == 0) + DisplayStatistics(); + } + + } +} + Node_Destroy(parent); + free(parent); + + QuitProgram(false); +} + + +void QuitProgram(bool error) +{ + if (runstate == QUIT || runstate == QUIT_ERROR) + return; + omp_set_lock(&runstate_lock); + runstate = (error) ? QUIT_ERROR : QUIT; + omp_unset_lock(&runstate_lock); +} + +#ifdef DUAL_UNIVERSE +void BeforeDraw() +{ + // Before drawing the main universe... compute and draw the alternate universe + // Not threaded, because I am too lazy + System_Compute(&alternate_universe); + + for (int i = 0; i < alternate_universe.N; ++i) + { + + Body * b = alternate_universe.body+i; + Body * original = universe.body+i; + //glColor3f(0.0f, b->mass/1e11*100, 0.0f); + glColor3f(1.0f, 0.0f, 1.0f); + glPushMatrix(); // to save the current matrix + glTranslated(scale*b->x[0], scale*b->x[1], scale*b->x[2]); + glutSolidSphere (BALL_SIZE, 10, 10); + glPopMatrix(); // restore the previous matrix + + // Draw a line from the "alternate" body to the real one + glBegin(GL_LINES); + glVertex3f(scale*b->x[0], scale*b->x[1], scale*b->x[2]); + glVertex3f(scale*original->x[0], scale*original->x[1], scale*original->x[2]); + glEnd(); + } +} +#endif //DUAL_UNIVERSE + +#ifndef AfterDraw +void AfterDraw() +{ + /* // Uncomment to draw cubes + glPolygonMode( GL_FRONT_AND_BACK, GL_LINE ); + Draw_Node(parent); + glFlush(); + glPolygonMode( GL_FRONT_AND_BACK, GL_FILL); + */ +} +#endif //AfterDraw diff --git a/course/semester2/pprog/assignment1/nbody-bh/nbody.c~ b/course/semester2/pprog/assignment1/nbody-bh/nbody.c~ new file mode 100644 index 00000000..c6fa458f --- /dev/null +++ b/course/semester2/pprog/assignment1/nbody-bh/nbody.c~ @@ -0,0 +1,249 @@ +/** + * @file nbody.c + * @purpose Barnes Hut OpenMP version of N-Body simulator, implementation + * @author Sam Moore (20503628) - 2012 + */ + +#include "nbody.h" +#include "../single-thread/nbody.c" // Include original code +#include "graphics.h" // For Graphics_Run function only + +#include "tree.h" + + + +omp_lock_t runstate_lock; + +#ifdef USE_THREADS +omp_lock_t nested_lock; +#endif //USE_THREADS + +Node * parent = NULL; + +/** + * @function Simulation_Run + * @purpose Start the simulation + * @param argc, argv - Passed to Graphics_Run if needed, otherwise unused + */ +void Simulation_Run(int argc, char ** argv) +{ + + omp_init_lock(&runstate_lock); + #ifdef USE_THREADS + omp_init_lock(&nested_lock); + #endif //USE_THREADS + + #ifdef DUAL_UNIVERSE + if (!options.pedantic_graphics) + { + fprintf(stderr, "Warning: Using pedantic graphics to ensure alternate reality matches our own (as closely as possible).\n"); + options.pedantic_graphics = true; + } + #endif //DUAL_UNIVERSE + + omp_set_nested(1); + if (omp_get_nested() == 0) + { + fprintf(stderr, "Couldn't enable nested parallelism\n."); + exit(EXIT_FAILURE); + } + + if (options.num_threads == 0) + { + options.num_threads = omp_get_max_threads(); + if (options.draw_graphics) + options.num_threads -= 1; + } + if (options.nested_threads == 0) + { + options.nested_threads = omp_get_max_threads() - options.num_threads; + if (options.nested_threads == 0) + options.nested_threads = 1; + } + + #ifdef DUAL_UNIVERSE + System_Init(&alternate_universe, options.input); + #endif //DUAL_UNIVERSE + + if (options.draw_graphics) + { + Graphics_Run(argc, argv); + if (options.pedantic_graphics == false) + { + + + + #pragma omp parallel num_threads(2) + { + // This can't be done with sections! + // Because glut is useless, and can only be dealt with in the main thread + // I just hope that thread "0" is always the main thread! + if (omp_get_thread_num() == 0) // #pragma omp section + { + //printf("Thread %d gets graphics\n", omp_get_thread_num()); + glutMainLoop(); + QuitProgram(false); // Program gets to here if the window is quit + } + else // #pragma omp section + { + //printf("Thread %d gets computations\n", omp_get_thread_num()); + Compute(); + } + + } + return; + } + } + Compute(); + + omp_destroy_lock(&runstate_lock); + #ifdef USE_THREADS + omp_destroy_lock(&nested_lock); + #endif //USE_THREADS + + + +} + +/** + * @function Compute + * @purpose The main computation loop + * Uses threading, but only on the first level + * I tried to introduce threading to some of the recursive functions in the tree... + * But failed + */ +void Compute(void) +{ + omp_set_nested(1); + if (omp_get_nested() == 0) + { + fprintf(stderr, "Couldn't enable nested parallelism\n."); + exit(EXIT_FAILURE); + } + + omp_set_num_threads(options.num_threads); + if (omp_get_max_threads() != options.num_threads) + { + fprintf(stderr, "Couldn't use %d threads!\n", options.num_threads); + exit(EXIT_FAILURE); + } + + parent = Node_Create(NULL); + + Generate_Tree(&universe, parent); + + + + +#pragma omp parallel +{ + while (!ExitCondition()) + { + #pragma omp single + { + Node_CalculateMass(parent); + } + + #pragma omp for // The easiest way to parallelise it + for (unsigned a = 0; a < universe.N; ++a) + { + for (unsigned i = 0; i < DIMENSIONS; ++i) + universe.body[a].F[i] = 0; + + Node_Forces(universe.body+a, parent, options.theta); + //printf("Forces on %p done\n", (void*)(universe.body+a)); + Body_Velocity(universe.body+a); + } + + // put a nowait here so that the first thread out can start updating the tree + #pragma omp for nowait + for (unsigned a = 0; a < universe.N; ++a) + { + + Body_Position(universe.body+a); + } + + #pragma omp single // Ideally the first thread out should do this + { + Update_Tree(&universe, parent); + } + + // I haven't noticed any difference in performance. + // I'm just showing off. + #pragma omp barrier + + // Only the master may do stuff with graphics + #pragma omp master + { + if (options.draw_graphics && options.pedantic_graphics) + { + glutMainLoopEvent(); + Graphics_Display(); + } + } + + // Someone should do this stuff too + #pragma omp single + { + universe.steps += 1; + if (options.verbosity != 0 && universe.steps % options.verbosity == 0) + DisplayStatistics(); + } + + } +} + Node_Destroy(parent); + free(parent); + + QuitProgram(false); +} + + +void QuitProgram(bool error) +{ + if (runstate == QUIT || runstate == QUIT_ERROR) + return; + omp_set_lock(&runstate_lock); + runstate = (error) ? QUIT_ERROR : QUIT; + omp_unset_lock(&runstate_lock); +} + +#ifdef DUAL_UNIVERSE +void BeforeDraw() +{ + // Before drawing the main universe... compute and draw the alternate universe + // Not threaded, because I am too lazy + System_Compute(&alternate_universe); + + for (int i = 0; i < alternate_universe.N; ++i) + { + + Body * b = alternate_universe.body+i; + Body * original = universe.body+i; + //glColor3f(0.0f, b->mass/1e11*100, 0.0f); + glColor3f(1.0f, 0.0f, 1.0f); + glPushMatrix(); // to save the current matrix + glTranslated(scale*b->x[0], scale*b->x[1], scale*b->x[2]); + glutSolidSphere (BALL_SIZE, 10, 10); + glPopMatrix(); // restore the previous matrix + + // Draw a line from the "alternate" body to the real one + glBegin(GL_LINES); + glVertex3f(scale*b->x[0], scale*b->x[1], scale*b->x[2]); + glVertex3f(scale*original->x[0], scale*original->x[1], scale*original->x[2]); + glEnd(); + } +} +#endif //DUAL_UNIVERSE + +#ifndef AfterDraw +void AfterDraw() +{ + /* // Uncomment to draw cubes + glPolygonMode( GL_FRONT_AND_BACK, GL_LINE ); + Draw_Node(parent); + glFlush(); + glPolygonMode( GL_FRONT_AND_BACK, GL_FILL); + */ +} +#endif //AfterDraw diff --git a/course/semester2/pprog/assignment1/nbody-bh/nbody.h b/course/semester2/pprog/assignment1/nbody-bh/nbody.h new file mode 100644 index 00000000..b9fea98e --- /dev/null +++ b/course/semester2/pprog/assignment1/nbody-bh/nbody.h @@ -0,0 +1,46 @@ +#ifndef _NBODY_BARNES_HUT_H +#define _NBODY_BARNES_HUT_H + +/** + * @file nbody.h + * @purpose OpenMP version of N-Body simulator, declarations + * @author Sam Moore (20503628) - 2012 + */ + +#include "../single-thread/nbody.h" //Include original code +#include + + +#undef SINGLE_THREADED +#define BARNES_HUT + +// Define to simultaneously Brute force a copy of the universe, and display together +//#define DUAL_UNIVERSE + + +// Replace default macros with thread-safe functions +#undef Simulation_Run +void Simulation_Run(int argc, char ** argv); +//#undef QuitProgram +//#define QuitProgram(x) break + +#undef BeforeDraw +#ifdef DUAL_UNIVERSE + System alternate_universe; + void BeforeDraw(); +#else + #define BeforeDraw() (void)0 // Do nothing (apparently this is how to do nothing with a macro) +#endif //DUAL_UNIVERSE + +#undef AfterDraw +#define AfterDraw() (void)0 +//void AfterDraw(); + +#undef QuitProgram +void QuitProgram(bool error); + +void Compute(void); + +#endif //_NBODY_BARNES_HUT_H + +//EOF diff --git a/course/semester2/pprog/assignment1/nbody-bh/nbody.h~ b/course/semester2/pprog/assignment1/nbody-bh/nbody.h~ new file mode 100644 index 00000000..b9fea98e --- /dev/null +++ b/course/semester2/pprog/assignment1/nbody-bh/nbody.h~ @@ -0,0 +1,46 @@ +#ifndef _NBODY_BARNES_HUT_H +#define _NBODY_BARNES_HUT_H + +/** + * @file nbody.h + * @purpose OpenMP version of N-Body simulator, declarations + * @author Sam Moore (20503628) - 2012 + */ + +#include "../single-thread/nbody.h" //Include original code +#include + + +#undef SINGLE_THREADED +#define BARNES_HUT + +// Define to simultaneously Brute force a copy of the universe, and display together +//#define DUAL_UNIVERSE + + +// Replace default macros with thread-safe functions +#undef Simulation_Run +void Simulation_Run(int argc, char ** argv); +//#undef QuitProgram +//#define QuitProgram(x) break + +#undef BeforeDraw +#ifdef DUAL_UNIVERSE + System alternate_universe; + void BeforeDraw(); +#else + #define BeforeDraw() (void)0 // Do nothing (apparently this is how to do nothing with a macro) +#endif //DUAL_UNIVERSE + +#undef AfterDraw +#define AfterDraw() (void)0 +//void AfterDraw(); + +#undef QuitProgram +void QuitProgram(bool error); + +void Compute(void); + +#endif //_NBODY_BARNES_HUT_H + +//EOF diff --git a/course/semester2/pprog/assignment1/nbody-bh/nbody.o b/course/semester2/pprog/assignment1/nbody-bh/nbody.o new file mode 100644 index 00000000..842e01ff Binary files /dev/null and b/course/semester2/pprog/assignment1/nbody-bh/nbody.o differ diff --git a/course/semester2/pprog/assignment1/nbody-bh/tree.c b/course/semester2/pprog/assignment1/nbody-bh/tree.c new file mode 100644 index 00000000..f7c9b225 --- /dev/null +++ b/course/semester2/pprog/assignment1/nbody-bh/tree.c @@ -0,0 +1,590 @@ +/** + * @file "tree.c" + * @purpose Implementation of Barnes Hut algorithms + * @author Sam Moore (20503628) 2012 + */ + +#include "tree.h" +#include "math.h" +#include +#include "graphics.h" + +#ifdef USE_THREADS +unsigned nested_used = 0; +#endif //USE_THREADS + + +/** + * @function Node_SetSpace + * @purpose Set the position and space occupied by a node + * @param node - The Node + * @param x - The vertex with the smallest coordinate values + * @param size - The dimensions of the cube that the Node represents + */ +void Node_SetSpace(Node * node, float x[DIMENSIONS], float size[DIMENSIONS]) +{ + for (unsigned i = 0; i < DIMENSIONS; ++i) + { + node->x[i] = x[i]; + node->size[i] = size[i]; + } +} + +/** + * @function Node_Destroy + * @purpose Confuse Java programmers + * *ahem* Cleanup the memory used by the Node and its children + * @param node - The Node + */ +void Node_Destroy(Node * node) +{ + + if (node == NULL) + return; + + //printf("Destroy node %p\n", (void*)node); + + if (node->body != NULL) + { + free(node->body); + node->body = NULL; + } + node->allocated = 0; + node->N = 0; + + #ifdef USE_THREADS + Prepare_Threads(SUB_DIVISIONS); + #pragma omp parallel for + #endif //USE_THREADS + for (unsigned i = 0; i < SUB_DIVISIONS; ++i) + { + Node_Destroy(node->children[i]); + free(node->children[i]); + node->children[i] = NULL; + } + +} + +/** + * @function Node_FindBodies + * @purpose Search for bodies in a system within a Node, and add them to the Node's array of bodies. + * @param n The Node + * @param s The System + * @returns The total number of bodies found from s within n + */ +unsigned Node_FindBodies(Node * n, System * s) +{ + + if (n->body != NULL) + { + + // reset the body array first + #ifdef USE_THREADS + //Prepare_Threads(options.nested_threads); + //#pragma omp parallel for + #endif //USE_THREADS + for (unsigned i = 0; i < n->allocated; ++i) + n->body[i] = NULL; + } + n->N = 0; // Don't forget this! + + if (n->parent == NULL) + { + #ifdef USE_THREADS + //Prepare_Threads(options.nested_threads); + //#pragma omp parallel for + #endif //USE_THREADS + for (unsigned a = 0; a < s->N; ++a) + { + if (Node_ContainsBody(n, s->body+a)) + Node_AddBody(n, s->body+a); + } + } + else + { + #ifdef USE_THREADS + //Prepare_Threads(options.nested_threads); + //#pragma omp parallel for + #endif //USE_THREADS + for (unsigned a = 0; a < n->parent->allocated; ++a) + { + if (Node_ContainsBody(n, n->parent->body[a])) + Node_AddBody(n, n->parent->body[a]); + } + } + //printf("Node %p contains %d bodies\n", (void*)(n), n->N); + return n->N; +} + +/** + * @function Node_Subdivide + * @purpose Subdivide a Node into more nodes and fill them with bodies + * @param node - The Node + * @param s - The system which the bodies are from + * @returns The number of bodies contained in all children of node after this is finished + */ +unsigned Node_Subdivide(Node * node, System * s) +{ + if (Node_FindBodies(node, s) <= 1) // First find all bodies in the node + return node->N; // If there was one or less, no need to subdivide + + unsigned count = 0; // stores the return value of the function + float size[DIMENSIONS]; // size of the children of this node + for (unsigned i = 0; i < DIMENSIONS; ++i) + size[i] = node->size[i] / 2.0; + + #ifdef USE_THREADS + // Prepare_Threads(SUB_DIVISIONS); + // #pragma omp parallel for + #endif //USE_THREADS + for (unsigned a = 0; a < SUB_DIVISIONS; ++a) + { + if (node->children[a] == NULL) + node->children[a] = Node_Create(node); //Create child node if necessary + + float x[DIMENSIONS]; + + // Determine the placement of each child node in space + // Annoyingly long switch statement. + switch (a) + { + case 0: + x[0] = node->x[0]; + x[1] = node->x[1]; + x[2] = node->x[2]; + break; + case 1: + x[0] = node->x[0] + size[0]; + x[1] = node->x[1]; + x[2] = node->x[2]; + break; + case 2: + x[0] = node->x[0]; + x[1] = node->x[1] + size[1]; + x[2] = node->x[2]; + break; + case 3: + x[0] = node->x[0]; + x[1] = node->x[1]; + x[2] = node->x[2] + size[2]; + break; + case 4: + x[0] = node->x[0] + size[0]; + x[1] = node->x[1] + size[1]; + x[2] = node->x[2]; + break; + case 5: + x[0] = node->x[0] + size[0]; + x[1] = node->x[1]; + x[2] = node->x[2] + size[2]; + + break; + case 6: + x[0] = node->x[0]; + x[1] = node->x[1] + size[1]; + x[2] = node->x[2] + size[2]; + break; + case 7: + x[0] = node->x[0] + size[0]; + x[1] = node->x[1] + size[1]; + x[2] = node->x[2] + size[2]; + break; + } + + Node_SetSpace(node->children[a], x, size); // Setup the child in space + unsigned sub = Node_Subdivide(node->children[a], s); // Recurse for the child + count += sub; + } + return count; +} + + +/** + * @function Node_AddBody + * @purpose Terrify third year computer science students + * *ahem* Add a Body* to the node's dynamic Body* array. Dynamically. Got that? + * I love pointers! They are fun! + * @param node - The Node; what did you think it was? + * @param b - The Body to add + * @returns - The index in the array that the Body* now occupies + */ +unsigned Node_AddBody(Node * node, Body * b) +{ + unsigned i = 0; + for (i = 0; i < node->allocated; ++i) // Search for an empty spot in the array + { + if (node->body[i] == NULL) // Got one! + { + node->body[i] = b; // Fill it! + node->N += 1; + return i; // return! + } + } + + // No empty spots found :( + // The index got outside the array's allocated space, so allocate some more! + node->allocated = 2 * (node->allocated + 1); // Doubling the space each time, like what C++ std::vector does + + if (node->body == NULL) + node->body = (Body**)(calloc(node->allocated, sizeof(Body*))); // First Body* added, create new array + else // Subsequent allocations use realloc + { + // realloc is expensive. That's why I double the space each time, instead of just adding a constant. + // Of course, in the worst case, we are wasting half the memory after the last realloc + // But performance wise it is better. + node->body = (Body**)(realloc(node->body, sizeof(Body*) * node->allocated)); // Resize existing array + memset(node->body+i, 0, sizeof(Body*) * (node->allocated - i)); // set all the new elements to NULL + } + + //We now have a valid position in the array that is not filled + node->body[i] = b; // So fill it + node->N += 1; // don't forget to update this + return i; //index in array of Body* + +} + +/** + * @function Generate_Tree + * @purpose Generate the tree from a System + * @param s - The System + * @param n - The root node + * @returns The number of bodies in the node (should be the same as in the system) + */ +unsigned Generate_Tree(System * s, Node * n) +{ + for (unsigned i = 0; i < DIMENSIONS; ++i) // set initial size of node + { + n->x[i] = -1.0; + n->size[i] = 2.0; + } + + Node_FitSystem(n, s); // size node so that it contains all bodies in the system + + + Node_Subdivide(n, s); + + return n->N; +} + +/** + * @function Node_FitSystem + * @purpose Resize a Node until all bodies in a System are within it + * @param n - The Node + * @param s - The System + */ +void Node_FitSystem(Node * n, System * s) +{ + // I'm sure there is a faster way of doing this + // But I like this algorithm. + + + while (Node_FindBodies(n, s) < s->N) // Find bodies in the node... + { + // As long as the number found is less than the number in the system... + + for (unsigned i = 0; i < DIMENSIONS; ++i) + { + n->x[i] *= 2.0; + n->size[i] *= 2.0; // Double the size of the Node! + } + } +} + +/** + * @function Update_Tree + * @purpose Update the tree (it must already have been Generated with Generate_Tree) + * @param s - The System + * @param n - The root node of the tree + * @returns The number of bodies in the tree + */ +unsigned Update_Tree(System * s, Node * n) +{ + Node_FitSystem(n, s); + + Node_Subdivide(n, s); + return n->N; +} + +/** + * @function Node_CalculateMass + * @purpose Calculate the mass and centre of mass of a node + * @param node - The node + * @returns The mass of the node + */ +float Node_CalculateMass(Node * node) +{ + node->mass = 0.0; + if (node->N <= 0) // No bodies in the node + return 0.0; + + if (node->N == 1) // Only one body in the node + { + Body * b = Node_Body(node, 0); + node->mass = b->mass; + for (unsigned i = 0; i < DIMENSIONS; ++i) + node->com[i] = b->x[i]; + //printf("Body %p has mass %f, center of mass at %f %f %f\n", (void*)(node), node->mass, node->com[0], node->com[1], node->com[2]); + return node->mass; + } + + + // For more than 1 body in the node, calculate mass and com from child nodes + + for (unsigned i = 0; i < DIMENSIONS; ++i) // init com + node->com[i] = 0.0; + + + #ifdef USE_THREADS + Prepare_Threads(SUB_DIVISIONS); + #pragma omp parallel for + #endif //USE_THREADS + for (unsigned i = 0; i < SUB_DIVISIONS; ++i) + { + if (node->children[i] != NULL) + { + float m = Node_CalculateMass(node->children[i]); // Recurse for children + node->mass += m; + for (unsigned j = 0; j < DIMENSIONS; ++j) + node->com[j] += m * node->children[i]->com[j]; + } + } + for (unsigned i = 0; i < DIMENSIONS; ++i) + node->com[i] = node->com[i] / node->mass; // weighted average for centre of masses + + //printf("Node %p has mass %f, center of mass at %f %f %f\n", (void*)(node), node->mass, node->com[0], node->com[1], node->com[2]); + return node->mass; +} + +/** + * @function Node_Forces + * @purpose Calculate the forces on a body due to a Node + * @param a - The Body + * @param n - The node + * @param theta - The approximation factor; 0.0 for no approximation. + * @returns The depth reached by the recursive algorithm + */ +unsigned Node_Forces(Body * a, Node * n, float theta) +{ + if (n->N <= 0) + return 0; + + + if (n->N == 1) // external node with one body in it + { + Body * b = Node_Body(n, 0); + if (b == a) //ignore self + { + return 0; + } + Body_Force(a, b); // calculate force + return 1; + } + + // internal node with more than one body in it... + + + float con; + float gd; + float d = 0; + float s = n->size[0] + n->size[1] + n->size[2] / 3.0; + + for (unsigned i = 0; i < DIMENSIONS; ++i) + d += square(a->x[i] - n->com[i]); + d = sqrt(d); + + if (s / d <= theta) // approximation is "valid" + { + // Calculate force based on centre of mass of the node + con = G * a->mass * n->mass / square(d); + gd = con / d; + for (unsigned i = 0; i < DIMENSIONS; ++i) + a->F[i] += gd * (n->com[i] - a->x[i]); + return 1; + } + + // approximation "invalid" because node is too close + // Then recursively calculate forces due to the node's children + + unsigned count = 0; + #ifdef USE_THREADS + Prepare_Threads(SUB_DIVISIONS); + #pragma omp parallel for + #endif //USE_THREADS + for (unsigned i = 0; i < SUB_DIVISIONS; ++i) + { + if (n->children[i] != NULL) + { + count += Node_Forces(a, n->children[i], theta); + } + } + return count; +} + +/** + * @function Node_Create + * @purpose Create a Node + * @param parent - The parent of the Node (NULL if the node is the root of the tree) + * @returns The new Node + */ +Node * Node_Create(Node * parent) +{ + Node * result = (Node*)(calloc(1, sizeof(Node))); + + result->parent = parent; + + /* // In theory, using calloc instead of malloc should make everything zero + // So I don't need to do it manually + // Kept code here anyway. Because I don't trust gcc. + + result->N = 0; + result->allocated = 0; + result->body = 0; + for (unsigned i = 0; i < SUB_DIVISIONS; ++i) + result->children[i] = NULL; + */ + + return result; + +} + +/** + * @function Node_Body + * @purpose Identify a Body within a Node by its position in the array of Body* + * Because elements of the array may be NULL in general, n->body[index] may fail + * Actually I think in my code it will work in all cases, because I never set elements of the array to NULL. + * It's not worth the risk anyway, I might change my code. + * + * @param n - The Node + * @param index - The position of the Body* in the array + * @returns the Body* from the array + */ +Body * Node_Body(Node * n, unsigned index) +{ + unsigned count = 0; + Body * result = NULL; + + // Can't parallelise this, due to the break statement + for (unsigned i = 0; i < n->allocated; ++i) // Go through the array... + { + if (n->body[i] != NULL) + count += 1; // Count each non-empty entry + if (count > index) + { + result = n->body[i]; // return element once counter expires + break; + } + } + + return result; +} + +/** + * @function Draw_Node + * @purpose Draw a node as a series of rectangular prisms + * Draws all children of the node too. But only nodes with N == 1 will be shown. + * @param n - The Node + */ +void Draw_Node(Node * n) +{ + + if (n->N == 1) + { + glBegin(GL_QUADS); + glColor3f(0.0f, 1.0f, 0.0f); + glVertex3f(n->x[0] + n->size[0], n->x[1] + n->size[1], n->x[2]); + glVertex3f(n->x[0], n->x[1] + n->size[1], n->x[2]); + glVertex3f(n->x[0], n->x[1] + n->size[1], n->x[2] + n->size[2]); + glVertex3f(n->x[0]+n->size[0], n->x[1]+n->size[1], n->x[2]+n->size[2]); + + glVertex3f(n->x[0] + n->size[0], n->x[1], n->x[2] + n->size[2]); + glVertex3f(n->x[0], n->x[1] , n->x[2] + n->size[2]); + glVertex3f(n->x[0], n->x[1], n->x[2]); + glVertex3f(n->x[0] + n->size[0], n->x[1], n->x[2]); + + glVertex3f(n->x[0]+n->size[0], n->x[1]+n->size[1], n->x[2]+n->size[2]); + glVertex3f(n->x[0], n->x[1]+n->size[1], n->x[2]+n->size[2]); + glVertex3f(n->x[0], n->x[1], n->x[2]+n->size[2]); + glVertex3f(n->x[0]+n->size[0], n->x[1], n->x[2]+n->size[2]); + + glVertex3f(n->x[0]+n->size[0], n->x[1], n->x[2]); + glVertex3f(n->x[0], n->x[1], n->x[2]); + glVertex3f(n->x[0], n->x[1]+n->size[1], n->x[2]); + glVertex3f(n->x[0]+n->size[0], n->x[1]+n->size[1], n->x[2]); + + glVertex3f(n->x[0]+n->size[0], n->x[1]+n->size[1], n->x[2]); + glVertex3f(n->x[0]+n->size[0], n->x[1]+n->size[1], n->x[2] + n->size[2]); + glVertex3f(n->x[0]+n->size[0], n->x[1], n->x[2] + n->size[2]); + glVertex3f(n->x[0]+n->size[0], n->x[1], n->x[2]); + glEnd(); + } + //printf("Node %p contains %u bodies in volume %f\n", (void*)n, n->N, n->size[0] * n->size[1] * n->size[2]); + for (unsigned i = 0; i < SUB_DIVISIONS; ++i) + { + if (n->children[i] != NULL && n->children[i]->N > 0) + Draw_Node(n->children[i]); + } + +} + +/** + * @function Node_ContainsBody + * @purpose Indicate whether body is within a node + * @param n - The Node + * @param b - The Body + * @returns true iff the body was in the node + */ +bool Node_ContainsBody(Node * n, Body * b) +{ + if (b == NULL) + return false; + for (unsigned i = 0; i < DIMENSIONS; ++i) + { + float p = b->x[i] - n->x[i]; + if (p < 0.00 || p > n->size[i]) + return false; + } + return true; +} + +// Doesn't work +#ifdef USE_THREADS +/** + * @function Prepare_Threads + * @purpose Tell OMP to spawn up to the specified number of threads on the next parallel section + * @param max - Spawn at most this many threads; in reality, less will be spawned + */ +void Prepare_Threads(unsigned max) +{ + //return; + + if (options.nested_threads == 1) + { + omp_set_num_threads(1); + return; + } + //printf("Thread %d in nest %d thinking of spawning more threads...\n", omp_get_thread_num(), omp_get_level()); + //printf("There are %d nested threads, %d in current level\n", nested_used, omp_get_num_threads()); + //printf("Got past check\n"); + + if (max > options.nested_threads) + max = options.nested_threads; + if (max <= 0) + max = options.nested_threads; + + + + + unsigned available = options.nested_threads - nested_used; + if (available <= 0) + available = 1; + if (available < max) + max = available; + + omp_set_num_threads(max); + + omp_set_lock(&nested_lock); + nested_used += max-1; + omp_unset_lock(&nested_lock); + +} +#endif //USE_THREADS diff --git a/course/semester2/pprog/assignment1/nbody-bh/tree.c~ b/course/semester2/pprog/assignment1/nbody-bh/tree.c~ new file mode 100644 index 00000000..f3a9e078 --- /dev/null +++ b/course/semester2/pprog/assignment1/nbody-bh/tree.c~ @@ -0,0 +1,589 @@ +/** + * @file "tree.c" + * @purpose Implementation of Barnes Hut algorithms + * @author Sam Moore (20503628) 2012 + */ + +#include "tree.h" +#include "math.h" +#include +#include "graphics.h" + +#ifdef USE_THREADS +unsigned nested_used = 0; +#endif //USE_THREADS + + +/** + * @function Node_SetSpace + * @purpose Set the position and space occupied by a node + * @param node - The Node + * @param x - The vertex with the smallest coordinate values + * @param size - The dimensions of the cube that the Node represents + */ +void Node_SetSpace(Node * node, float x[DIMENSIONS], float size[DIMENSIONS]) +{ + for (unsigned i = 0; i < DIMENSIONS; ++i) + { + node->x[i] = x[i]; + node->size[i] = size[i]; + } +} + +/** + * @function Node_Destroy + * @purpose Confuse Java programmers + * *ahem* Cleanup the memory used by the Node and its children + * @param node - The Node + */ +void Node_Destroy(Node * node) +{ + + if (node == NULL) + return; + + //printf("Destroy node %p\n", (void*)node); + + if (node->body != NULL) + { + free(node->body); + node->body = NULL; + } + node->allocated = 0; + node->N = 0; + + #ifdef USE_THREADS + Prepare_Threads(SUB_DIVISIONS); + #pragma omp parallel for + #endif //USE_THREADS + for (unsigned i = 0; i < SUB_DIVISIONS; ++i) + { + Node_Destroy(node->children[i]); + free(node->children[i]); + node->children[i] = NULL; + } + +} + +/** + * @function Node_FindBodies + * @purpose Search for bodies in a system within a Node, and add them to the Node's array of bodies. + * @param n The Node + * @param s The System + * @returns The total number of bodies found from s within n + */ +unsigned Node_FindBodies(Node * n, System * s) +{ + + if (n->body != NULL) + { + + // reset the body array first + #ifdef USE_THREADS + //Prepare_Threads(options.nested_threads); + //#pragma omp parallel for + #endif //USE_THREADS + for (unsigned i = 0; i < n->allocated; ++i) + n->body[i] = NULL; + } + n->N = 0; // Don't forget this! + + if (n->parent == NULL) + { + #ifdef USE_THREADS + //Prepare_Threads(options.nested_threads); + //#pragma omp parallel for + #endif //USE_THREADS + for (unsigned a = 0; a < s->N; ++a) + { + if (Node_ContainsBody(n, s->body+a)) + Node_AddBody(n, s->body+a); + } + } + else + { + #ifdef USE_THREADS + //Prepare_Threads(options.nested_threads); + //#pragma omp parallel for + #endif //USE_THREADS + for (unsigned a = 0; a < n->parent->allocated; ++a) + { + if (Node_ContainsBody(n, n->parent->body[a])) + Node_AddBody(n, n->parent->body[a]); + } + } + //printf("Node %p contains %d bodies\n", (void*)(n), n->N); + return n->N; +} + +/** + * @function Node_Subdivide + * @purpose Subdivide a Node into more nodes and fill them with bodies + * @param node - The Node + * @param s - The system which the bodies are from + * @returns The number of bodies contained in all children of node after this is finished + */ +unsigned Node_Subdivide(Node * node, System * s) +{ + if (Node_FindBodies(node, s) <= 1) // First find all bodies in the node + return node->N; // If there was one or less, no need to subdivide + + unsigned count = 0; // stores the return value of the function + float size[DIMENSIONS]; // size of the children of this node + for (unsigned i = 0; i < DIMENSIONS; ++i) + size[i] = node->size[i] / 2.0; + + #ifdef USE_THREADS + // Prepare_Threads(SUB_DIVISIONS); + // #pragma omp parallel for + #endif //USE_THREADS + for (unsigned a = 0; a < SUB_DIVISIONS; ++a) + { + if (node->children[a] == NULL) + node->children[a] = Node_Create(node); //Create child node if necessary + + float x[DIMENSIONS]; + + // Determine the placement of each child node in space + // Annoyingly long switch statement. + switch (a) + { + case 0: + x[0] = node->x[0]; + x[1] = node->x[1]; + x[2] = node->x[2]; + break; + case 1: + x[0] = node->x[0] + size[0]; + x[1] = node->x[1]; + x[2] = node->x[2]; + break; + case 2: + x[0] = node->x[0]; + x[1] = node->x[1] + size[1]; + x[2] = node->x[2]; + break; + case 3: + x[0] = node->x[0]; + x[1] = node->x[1]; + x[2] = node->x[2] + size[2]; + break; + case 4: + x[0] = node->x[0] + size[0]; + x[1] = node->x[1] + size[1]; + x[2] = node->x[2]; + break; + case 5: + x[0] = node->x[0] + size[0]; + x[1] = node->x[1]; + x[2] = node->x[2] + size[2]; + + break; + case 6: + x[0] = node->x[0]; + x[1] = node->x[1] + size[1]; + x[2] = node->x[2] + size[2]; + break; + case 7: + x[0] = node->x[0] + size[0]; + x[1] = node->x[1] + size[1]; + x[2] = node->x[2] + size[2]; + break; + } + + Node_SetSpace(node->children[a], x, size); // Setup the child in space + unsigned sub = Node_Subdivide(node->children[a], s); // Recurse for the child + count += sub; + } + return count; +} + + +/** + * @function Node_AddBody + * @purpose Terrify third year computer science students + * *ahem* Add a Body* to the node's dynamic Body* array. Dynamically. Got that? + * I love pointers! They are fun! + * @param node - The Node; what did you think it was? + * @param b - The Body to add + * @returns - The index in the array that the Body* now occupies + */ +unsigned Node_AddBody(Node * node, Body * b) +{ + unsigned i = 0; + for (i = 0; i < node->allocated; ++i) // Search for an empty spot in the array + { + if (node->body[i] == NULL) // Got one! + { + node->body[i] = b; // Fill it! + node->N += 1; + return i; // return! + } + } + + // No empty spots found :( + // The index got outside the array's allocated space, so allocate some more! + node->allocated = 2 * (node->allocated + 1); // Doubling the space each time, like what C++ std::vector does + + if (node->body == NULL) + node->body = (Body**)(calloc(node->allocated, sizeof(Body*))); // First Body* added, create new array + else // Subsequent allocations use realloc + { + // realloc is expensive. That's why I double the space each time, instead of just adding a constant. + // Of course, in the worst case, we are wasting half the memory after the last realloc + // But performance wise it is better. + node->body = (Body**)(realloc(node->body, sizeof(Body*) * node->allocated)); // Resize existing array + memset(node->body+i, 0, sizeof(Body*) * (node->allocated - i)); // set all the new elements to NULL + } + + //We now have a valid position in the array that is not filled + node->body[i] = b; // So fill it + node->N += 1; // don't forget to update this + return i; //index in array of Body* + +} + +/** + * @function Generate_Tree + * @purpose Generate the tree from a System + * @param s - The System + * @param n - The root node + * @returns The number of bodies in the node (should be the same as in the system) + */ +unsigned Generate_Tree(System * s, Node * n) +{ + for (unsigned i = 0; i < DIMENSIONS; ++i) // set initial size of node + { + n->x[i] = -1.0; + n->size[i] = 2.0; + } + + Node_FitSystem(n, s); // size node so that it contains all bodies in the system + + + Node_Subdivide(n, s); + + return n->N; +} + +/** + * @function Node_FitSystem + * @purpose Resize a Node until all bodies in a System are within it + * @param n - The Node + * @param s - The System + */ +void Node_FitSystem(Node * n, System * s) +{ + // I'm sure there is a faster way of doing this + // But I like this algorithm. + + + while (Node_FindBodies(n, s) < s->N) // Find bodies in the node... + { + // As long as the number found is less than the number in the system... + + for (unsigned i = 0; i < DIMENSIONS; ++i) + { + n->x[i] *= 2.0; + n->size[i] *= 2.0; // Double the size of the Node! + } + } +} + +/** + * @function Update_Tree + * @purpose Update the tree (it must already have been Generated with Generate_Tree) + * @param s - The System + * @param n - The root node of the tree + * @returns The number of bodies in the tree + */ +unsigned Update_Tree(System * s, Node * n) +{ + Node_FitSystem(n, s); + + Node_Subdivide(n, s); + return n->N; +} + +/** + * @function Node_CalculateMass + * @purpose Calculate the mass and centre of mass of a node + * @param node - The node + * @returns The mass of the node + */ +float Node_CalculateMass(Node * node) +{ + node->mass = 0.0; + if (node->N <= 0) // No bodies in the node + return 0.0; + + if (node->N == 1) // Only one body in the node + { + Body * b = Node_Body(node, 0); + node->mass = b->mass; + for (unsigned i = 0; i < DIMENSIONS; ++i) + node->com[i] = b->x[i]; + //printf("Body %p has mass %f, center of mass at %f %f %f\n", (void*)(node), node->mass, node->com[0], node->com[1], node->com[2]); + return node->mass; + } + + + // For more than 1 body in the node, calculate mass and com from child nodes + + for (unsigned i = 0; i < DIMENSIONS; ++i) // init com + node->com[i] = 0.0; + + + #ifdef USE_THREADS + Prepare_Threads(SUB_DIVISIONS); + #pragma omp parallel for + #endif //USE_THREADS + for (unsigned i = 0; i < SUB_DIVISIONS; ++i) + { + if (node->children[i] != NULL) + { + float m = Node_CalculateMass(node->children[i]); // Recurse for children + node->mass += m; + for (unsigned j = 0; j < DIMENSIONS; ++j) + node->com[j] += m * node->children[i]->com[j]; + } + } + for (unsigned i = 0; i < DIMENSIONS; ++i) + node->com[i] = node->com[i] / node->mass; // weighted average for centre of masses + + //printf("Node %p has mass %f, center of mass at %f %f %f\n", (void*)(node), node->mass, node->com[0], node->com[1], node->com[2]); + return node->mass; +} + +/** + * @function Node_Forces + * @purpose Calculate the forces on a body due to a Node + * @param a - The Body + * @param n - The node + * @param theta - The approximation factor; 0.0 for no approximation. + * @returns The depth reached by the recursive algorithm + */ +unsigned Node_Forces(Body * a, Node * n, float theta) +{ + if (n->N <= 0) + return 0; + + + if (n->N == 1) // external node with one body in it + { + Body * b = Node_Body(n, 0); + if (b == a) //ignore self + { + return 0; + } + Body_Force(a, b); // calculate force + return 1; + } + + // internal node with more than one body in it... + + + float con; + float gd; + float d = 0; + float s = n->size[0] + n->size[1] + n->size[2] / 3.0; + + for (unsigned i = 0; i < DIMENSIONS; ++i) + d += square(a->x[i] - n->com[i]); + d = sqrt(d); + + if (s / d <= theta) // approximation is "valid" + { + // Calculate force based on centre of mass of the node + con = G * a->mass * n->mass / square(d); + gd = con / d; + for (unsigned i = 0; i < DIMENSIONS; ++i) + a->F[i] += gd * (n->com[i] - a->x[i]); + return 1; + } + + // approximation "invalid" because node is too close + // Then recursively calculate forces due to the node's children + + unsigned count = 0; + #ifdef USE_THREADS + Prepare_Threads(SUB_DIVISIONS); + #pragma omp parallel for + #endif //USE_THREADS + for (unsigned i = 0; i < SUB_DIVISIONS; ++i) + { + if (n->children[i] != NULL) + { + count += Node_Forces(a, n->children[i], theta); + } + } + return count; +} + +/** + * @function Node_Create + * @purpose Create a Node + * @param parent - The parent of the Node (NULL if the node is the root of the tree) + * @returns The new Node + */ +Node * Node_Create(Node * parent) +{ + Node * result = (Node*)(calloc(1, sizeof(Node))); + + result->parent = parent; + + /* // In theory, using calloc instead of malloc should make everything zero + // So I don't need to do it manually + // Kept code here anyway. Because I don't trust gcc. + + result->N = 0; + result->allocated = 0; + result->body = 0; + for (unsigned i = 0; i < SUB_DIVISIONS; ++i) + result->children[i] = NULL; + */ + + return result; + +} + +/** + * @function Node_Body + * @purpose Identify a Body within a Node by its position in the array of Body* + * Because elements of the array may be NULL in general, n->body[index] may fail + * Actually I think in my code it will work in all cases, because I never set elements of the array to NULL. + * It's not worth the risk anyway, I might change my code. + * + * @param n - The Node + * @param index - The position of the Body* in the array + * @returns the Body* from the array + */ +Body * Node_Body(Node * n, unsigned index) +{ + unsigned count = 0; + Body * result = NULL; + + // Can't parallelise this, due to the break statement + for (unsigned i = 0; i < n->allocated; ++i) // Go through the array... + { + if (n->body[i] != NULL) + count += 1; // Count each non-empty entry + if (count > index) + { + result = n->body[i]; // return element once counter expires + break; + } + } + + return result; +} + +/** + * @function Draw_Node + * @purpose Draw a node as a series of rectangular prisms + * Draws all children of the node too. But only nodes with N == 1 will be shown. + * @param n - The Node + */ +void Draw_Node(Node * n) +{ + + if (n->N == 1) + { + glBegin(GL_QUADS); + glColor3f(0.0f, 1.0f, 0.0f); + glVertex3f(n->x[0] + n->size[0], n->x[1] + n->size[1], n->x[2]); + glVertex3f(n->x[0], n->x[1] + n->size[1], n->x[2]); + glVertex3f(n->x[0], n->x[1] + n->size[1], n->x[2] + n->size[2]); + glVertex3f(n->x[0]+n->size[0], n->x[1]+n->size[1], n->x[2]+n->size[2]); + + glVertex3f(n->x[0] + n->size[0], n->x[1], n->x[2] + n->size[2]); + glVertex3f(n->x[0], n->x[1] , n->x[2] + n->size[2]); + glVertex3f(n->x[0], n->x[1], n->x[2]); + glVertex3f(n->x[0] + n->size[0], n->x[1], n->x[2]); + + glVertex3f(n->x[0]+n->size[0], n->x[1]+n->size[1], n->x[2]+n->size[2]); + glVertex3f(n->x[0], n->x[1]+n->size[1], n->x[2]+n->size[2]); + glVertex3f(n->x[0], n->x[1], n->x[2]+n->size[2]); + glVertex3f(n->x[0]+n->size[0], n->x[1], n->x[2]+n->size[2]); + + glVertex3f(n->x[0]+n->size[0], n->x[1], n->x[2]); + glVertex3f(n->x[0], n->x[1], n->x[2]); + glVertex3f(n->x[0], n->x[1]+n->size[1], n->x[2]); + glVertex3f(n->x[0]+n->size[0], n->x[1]+n->size[1], n->x[2]); + + glVertex3f(n->x[0]+n->size[0], n->x[1]+n->size[1], n->x[2]); + glVertex3f(n->x[0]+n->size[0], n->x[1]+n->size[1], n->x[2] + n->size[2]); + glVertex3f(n->x[0]+n->size[0], n->x[1], n->x[2] + n->size[2]); + glVertex3f(n->x[0]+n->size[0], n->x[1], n->x[2]); + glEnd(); + } + //printf("Node %p contains %u bodies in volume %f\n", (void*)n, n->N, n->size[0] * n->size[1] * n->size[2]); + for (unsigned i = 0; i < SUB_DIVISIONS; ++i) + { + if (n->children[i] != NULL && n->children[i]->N > 0) + Draw_Node(n->children[i]); + } + +} + +/** + * @function Node_ContainsBody + * @purpose Indicate whether body is within a node + * @param n - The Node + * @param b - The Body + * @returns true iff the body was in the node + */ +bool Node_ContainsBody(Node * n, Body * b) +{ + if (b == NULL) + return false; + for (unsigned i = 0; i < DIMENSIONS; ++i) + { + float p = b->x[i] - n->x[i]; + if (p < 0.00 || p > n->size[i]) + return false; + } + return true; +} + +#ifdef USE_THREADS +/** + * @function Prepare_Threads + * @purpose Tell OMP to spawn up to the specified number of threads on the next parallel section + * @param max - Spawn at most this many threads; in reality, less will be spawned + */ +void Prepare_Threads(unsigned max) +{ + //return; + + if (options.nested_threads == 1) + { + omp_set_num_threads(1); + return; + } + //printf("Thread %d in nest %d thinking of spawning more threads...\n", omp_get_thread_num(), omp_get_level()); + //printf("There are %d nested threads, %d in current level\n", nested_used, omp_get_num_threads()); + //printf("Got past check\n"); + + if (max > options.nested_threads) + max = options.nested_threads; + if (max <= 0) + max = options.nested_threads; + + + + + unsigned available = options.nested_threads - nested_used; + if (available <= 0) + available = 1; + if (available < max) + max = available; + + omp_set_num_threads(max); + + omp_set_lock(&nested_lock); + nested_used += max-1; + omp_unset_lock(&nested_lock); + +} +#endif //USE_THREADS diff --git a/course/semester2/pprog/assignment1/nbody-bh/tree.h b/course/semester2/pprog/assignment1/nbody-bh/tree.h new file mode 100644 index 00000000..a125b65b --- /dev/null +++ b/course/semester2/pprog/assignment1/nbody-bh/tree.h @@ -0,0 +1,76 @@ +/** + * @file tree.h + * @purpose Declaration of tree structures for Barnes Hut clustering algorithm for N-Body simulator + * @author Sam Moore (20503628) - 2012 + */ + +#ifndef _TREE_H +#define _TREE_H + +#include "nbody.h" + +#define SUB_DIVISIONS 8 + +// Define to break everything and nest the threading +// (Program becomes impossibly slow, but feel free to try) +// #define USE_THREADS + +/** + * Structure to represent each node of the tree (a cube (actually a prism) in space) + * I call them.... "Data Prisms" + * But that takes too long to type, so they are Node instead + */ +typedef struct n +{ + float x[DIMENSIONS]; // The corner of the cube with smallest valued co-ordinates + float size[DIMENSIONS]; // The lengths of the cube faces. + + Body * * body; // Array of pointers to bodies in the node; dynamically created + unsigned N; // Number of bodies in the node; valid length of array + unsigned allocated; //space allocated for bodies; used to dynamically resize array (doubles every time array is filled). + + float mass; + float com[DIMENSIONS]; // Centre of Mass + + struct n * children[SUB_DIVISIONS]; // children nodes (smaller data prisms) + struct n * parent; // parent node; the bodies in this node are also in the parent node (bigger data prism) + + +} Node; + +void Node_SetSpace(Node * node, float x[DIMENSIONS], float size[DIMENSIONS]); //set the position and volume of a Node +void Node_Destroy(Node * node); // Cleanup a Node +unsigned Node_FindBodies(Node * n, System * s); // Find all bodies in System s contained in Node n +unsigned Node_Subdivide(Node * node, System * s); // Divide Node n into smaller nodes until each node has 1 Body in it + +float Node_CalculateMass(Node * node); // Calculate the total mass of a Node + +unsigned Node_AddBody(Node * n, Body * b); // Add a body to a Node + +unsigned Generate_Tree(System * s, Node * n); // Generate the tree of Nodes for the *first* time + +unsigned Update_Tree(System * s, Node * n); // Subsequently update the tree + +unsigned Node_Forces(Body * b, Node * node, float theta); // Calculate forces on body due to node. Theta is the approximation factor. + +void Node_FitSystem(Node * n, System * s); // Take a node and increase the size until it contains the entire system. + + +Node * Node_Create(Node * parent); // Construct a node for the first time + +bool Node_ContainsBody(Node * n, Body * b); // Check if a Body is in a Node +Body * Node_Body(Node * n, unsigned index); // Identify the n'th body in a Node. Required because the Body* array is slightly special. +void Draw_Node(Node * n); // Draw a cube corresponding to Node n + + +// Used if nested threading is desired; not recommended. Breaks things +#ifdef USE_THREADS +void Prepare_Threads(unsigned max); // Attempt to create "max" threads on the next #pragma omp parallel +extern unsigned nested_used; // Number of nested threads created +extern omp_lock_t nested_lock; // Lock around nested_used +#endif //USE_THREADS + + +#endif //_TREE_H + +//EOF diff --git a/course/semester2/pprog/assignment1/nbody-bh/tree.h~ b/course/semester2/pprog/assignment1/nbody-bh/tree.h~ new file mode 100644 index 00000000..213c7d0e --- /dev/null +++ b/course/semester2/pprog/assignment1/nbody-bh/tree.h~ @@ -0,0 +1,76 @@ +/** + * @file tree.h + * @purpose Declaration of tree structures for Barnes Hut clustering algorithm for N-Body simulator + * @author Sam Moore (20503628) - 2012 + */ + +#ifndef _TREE_H +#define _TREE_H + +#include "nbody.h" + +#define SUB_DIVISIONS 8 + +// Define to break everything and nest the threading +// (Program becomes impossibly slow, but feel free to try) +// #define USE_THREADS + +/** + * Structure to represent each node of the tree (a cube (actually a prism) in space) + * I call them.... "Data Prisms" + * But that takes too long to type, so they are Node instead + */ +typedef struct n +{ + float x[DIMENSIONS]; // The corner of the cube with smallest valued co-ordinates + float size[DIMENSIONS]; // The lengths of the cube faces. + + Body * * body; // Array of pointers to bodies in the node; dynamically created + unsigned N; // Number of bodies in the node; valid length of array + unsigned allocated; //space allocated for bodies; used to dynamically resize array (doubles every time array is filled). + + float mass; + float com[DIMENSIONS]; // Centre of Mass + + struct n * children[SUB_DIVISIONS]; // children nodes (smaller data prisms) + struct n * parent; // parent node; the bodies in this node are also in the parent node (bigger data prism) + + +} Node; + +void Node_SetSpace(Node * node, float x[DIMENSIONS], float size[DIMENSIONS]); //set the position and volume of a Node +void Node_Destroy(Node * node); // Cleanup a Node +unsigned Node_FindBodies(Node * n, System * s); // Find all bodies in System s contained in Node n +unsigned Node_Subdivide(Node * node, System * s); // Divide Node n into smaller nodes until each node has 1 Body in it + +float Node_CalculateMass(Node * node); // Calculate the total mass of a Node + +unsigned Node_AddBody(Node * n, Body * b); // Add a body to a Node + +unsigned Generate_Tree(System * s, Node * n); // Generate the tree of Nodes for the *first* time + +unsigned Update_Tree(System * s, Node * n); // Subsequently update the tree + +unsigned Node_Forces(Body * b, Node * node, float theta); // Calculate forces on body due to node. Theta is the approximation factor. + +void Node_FitSystem(Node * n, System * s); // Take a node and increase the size until it contains the entire system. + + +Node * Node_Create(Node * parent); // Construct a node for the first time + +bool Node_ContainsBody(Node * n, Body * b); // Check if a Body is in a Node +Body * Node_Body(Node * n, unsigned index); // Identify the n'th body in a Node. Required because the Body* array is slightly special. +void Draw_Node(Node * n); // Draw a cube corresponding to Node n + + +// Used if nested threading is desired; not recommended. Breaks things +#ifdef USE_THREADS +void Prepare_Threads(unsigned max); +extern unsigned nested_used; +extern omp_lock_t nested_lock; +#endif //USE_THREADS + + +#endif //_TREE_H + +//EOF diff --git a/course/semester2/pprog/assignment1/nbody-bh/tree.o b/course/semester2/pprog/assignment1/nbody-bh/tree.o new file mode 100644 index 00000000..4d55d94a Binary files /dev/null and b/course/semester2/pprog/assignment1/nbody-bh/tree.o differ diff --git a/course/semester2/pprog/assignment1/odict.py b/course/semester2/pprog/assignment1/odict.py new file mode 100644 index 00000000..3bf708a7 --- /dev/null +++ b/course/semester2/pprog/assignment1/odict.py @@ -0,0 +1,328 @@ +# -*- coding: utf-8 -*- +""" + odict + ~~~~~ + + This module is an example implementation of an ordered dict for the + collections module. It's not written for performance (it actually + performs pretty bad) but to show how the API works. + + + Questions and Answers + ===================== + + Why would anyone need ordered dicts? + + Dicts in python are unordered which means that the order of items when + iterating over dicts is undefined. As a matter of fact it is most of + the time useless and differs from implementation to implementation. + + Many developers stumble upon that problem sooner or later when + comparing the output of doctests which often does not match the order + the developer thought it would. + + Also XML systems such as Genshi have their problems with unordered + dicts as the input and output ordering of tag attributes is often + mixed up because the ordering is lost when converting the data into + a dict. Switching to lists is often not possible because the + complexity of a lookup is too high. + + Another very common case is metaprogramming. The default namespace + of a class in python is a dict. With Python 3 it becomes possible + to replace it with a different object which could be an ordered dict. + Django is already doing something similar with a hack that assigns + numbers to some descriptors initialized in the class body of a + specific subclass to restore the ordering after class creation. + + When porting code from programming languages such as PHP and Ruby + where the item-order in a dict is guaranteed it's also a great help + to have an equivalent data structure in Python to ease the transition. + + Where are new keys added? + + At the end. This behavior is consistent with Ruby 1.9 Hashmaps + and PHP Arrays. It also matches what common ordered dict + implementations do currently. + + What happens if an existing key is reassigned? + + The key is *not* moved. This is consitent with existing + implementations and can be changed by a subclass very easily:: + + class movingodict(odict): + def __setitem__(self, key, value): + self.pop(key, None) + odict.__setitem__(self, key, value) + + Moving keys to the end of a ordered dict on reassignment is not + very useful for most applications. + + Does it mean the dict keys are sorted by a sort expression? + + That's not the case. The odict only guarantees that there is an order + and that newly inserted keys are inserted at the end of the dict. If + you want to sort it you can do so, but newly added keys are again added + at the end of the dict. + + I initializes the odict with a dict literal but the keys are not + ordered like they should! + + Dict literals in Python generate dict objects and as such the order of + their items is not guaranteed. Before they are passed to the odict + constructor they are already unordered. + + What happens if keys appear multiple times in the list passed to the + constructor? + + The same as for the dict. The latter item overrides the former. This + has the side-effect that the position of the first key is used because + the key is actually overwritten: + + >>> odict([('a', 1), ('b', 2), ('a', 3)]) + odict.odict([('a', 3), ('b', 2)]) + + This behavor is consistent with existing implementation in Python + and the PHP array and the hashmap in Ruby 1.9. + + This odict doesn't scale! + + Yes it doesn't. The delitem operation is O(n). This is file is a + mockup of a real odict that could be implemented for collections + based on an linked list. + + Why is there no .insert()? + + There are few situations where you really want to insert a key at + an specified index. To now make the API too complex the proposed + solution for this situation is creating a list of items, manipulating + that and converting it back into an odict: + + >>> d = odict([('a', 42), ('b', 23), ('c', 19)]) + >>> l = d.items() + >>> l.insert(1, ('x', 0)) + >>> odict(l) + odict.odict([('a', 42), ('x', 0), ('b', 23), ('c', 19)]) + + :copyright: (c) 2008 by Armin Ronacher and PEP 273 authors. + :license: modified BSD license. +""" +from itertools import izip, imap +from copy import deepcopy + +missing = object() + + +class odict(dict): + """ + Ordered dict example implementation. + + This is the proposed interface for a an ordered dict as proposed on the + Python mailinglist (proposal_). + + It's a dict subclass and provides some list functions. The implementation + of this class is inspired by the implementation of Babel but incorporates + some ideas from the `ordereddict`_ and Django's ordered dict. + + The constructor and `update()` both accept iterables of tuples as well as + mappings: + + >>> d = odict([('a', 'b'), ('c', 'd')]) + >>> d.update({'foo': 'bar'}) + >>> d + odict.odict([('a', 'b'), ('c', 'd'), ('foo', 'bar')]) + + Keep in mind that when updating from dict-literals the order is not + preserved as these dicts are unsorted! + + You can copy an odict like a dict by using the constructor, `copy.copy` + or the `copy` method and make deep copies with `copy.deepcopy`: + + >>> from copy import copy, deepcopy + >>> copy(d) + odict.odict([('a', 'b'), ('c', 'd'), ('foo', 'bar')]) + >>> d.copy() + odict.odict([('a', 'b'), ('c', 'd'), ('foo', 'bar')]) + >>> odict(d) + odict.odict([('a', 'b'), ('c', 'd'), ('foo', 'bar')]) + >>> d['spam'] = [] + >>> d2 = deepcopy(d) + >>> d2['spam'].append('eggs') + >>> d + odict.odict([('a', 'b'), ('c', 'd'), ('foo', 'bar'), ('spam', [])]) + >>> d2 + odict.odict([('a', 'b'), ('c', 'd'), ('foo', 'bar'), ('spam', ['eggs'])]) + + All iteration methods as well as `keys`, `values` and `items` return + the values ordered by the the time the key-value pair is inserted: + + >>> d.keys() + ['a', 'c', 'foo', 'spam'] + >>> d.values() + ['b', 'd', 'bar', []] + >>> d.items() + [('a', 'b'), ('c', 'd'), ('foo', 'bar'), ('spam', [])] + >>> list(d.iterkeys()) + ['a', 'c', 'foo', 'spam'] + >>> list(d.itervalues()) + ['b', 'd', 'bar', []] + >>> list(d.iteritems()) + [('a', 'b'), ('c', 'd'), ('foo', 'bar'), ('spam', [])] + + Index based lookup is supported too by `byindex` which returns the + key/value pair for an index: + + >>> d.byindex(2) + ('foo', 'bar') + + You can reverse the odict as well: + + >>> d.reverse() + >>> d + odict.odict([('spam', []), ('foo', 'bar'), ('c', 'd'), ('a', 'b')]) + + And sort it like a list: + + >>> d.sort(key=lambda x: x[0].lower()) + >>> d + odict.odict([('a', 'b'), ('c', 'd'), ('foo', 'bar'), ('spam', [])]) + + .. _proposal: http://thread.gmane.org/gmane.comp.python.devel/95316 + .. _ordereddict: http://www.xs4all.nl/~anthon/Python/ordereddict/ + """ + + def __init__(self, *args, **kwargs): + dict.__init__(self) + self._keys = [] + self.update(*args, **kwargs) + + def __delitem__(self, key): + dict.__delitem__(self, key) + self._keys.remove(key) + + def __setitem__(self, key, item): + if key not in self: + self._keys.append(key) + dict.__setitem__(self, key, item) + + def __deepcopy__(self, memo=None): + if memo is None: + memo = {} + d = memo.get(id(self), missing) + if d is not missing: + return d + memo[id(self)] = d = self.__class__() + dict.__init__(d, deepcopy(self.items(), memo)) + d._keys = self._keys[:] + return d + + def __getstate__(self): + return {'items': dict(self), 'keys': self._keys} + + def __setstate__(self, d): + self._keys = d['keys'] + dict.update(d['items']) + + def __reversed__(self): + return reversed(self._keys) + + def __eq__(self, other): + if isinstance(other, odict): + if not dict.__eq__(self, other): + return False + return self.items() == other.items() + return dict.__eq__(self, other) + + def __ne__(self, other): + return not self.__eq__(other) + + def __cmp__(self, other): + if isinstance(other, odict): + return cmp(self.items(), other.items()) + elif isinstance(other, dict): + return dict.__cmp__(self, other) + return NotImplemented + + @classmethod + def fromkeys(cls, iterable, default=None): + return cls((key, default) for key in iterable) + + def clear(self): + del self._keys[:] + dict.clear(self) + + def copy(self): + return self.__class__(self) + + def items(self): + return zip(self._keys, self.values()) + + def iteritems(self): + return izip(self._keys, self.itervalues()) + + def keys(self): + return self._keys[:] + + def iterkeys(self): + return iter(self._keys) + + def pop(self, key, default=missing): + if default is missing: + return dict.pop(self, key) + elif key not in self: + return default + self._keys.remove(key) + return dict.pop(self, key, default) + + def popitem(self, key): + self._keys.remove(key) + return dict.popitem(key) + + def setdefault(self, key, default=None): + if key not in self: + self._keys.append(key) + dict.setdefault(self, key, default) + + def update(self, *args, **kwargs): + sources = [] + if len(args) == 1: + if hasattr(args[0], 'iteritems'): + sources.append(args[0].iteritems()) + else: + sources.append(iter(args[0])) + elif args: + raise TypeError('expected at most one positional argument') + if kwargs: + sources.append(kwargs.iteritems()) + for iterable in sources: + for key, val in iterable: + self[key] = val + + def values(self): + return map(self.get, self._keys) + + def itervalues(self): + return imap(self.get, self._keys) + + def index(self, item): + return self._keys.index(item) + + def byindex(self, item): + key = self._keys[item] + return (key, dict.__getitem__(self, key)) + + def reverse(self): + self._keys.reverse() + + def sort(self, *args, **kwargs): + self._keys.sort(*args, **kwargs) + + def __repr__(self): + return 'odict.odict(%r)' % self.items() + + __copy__ = copy + __iter__ = iterkeys + + +if __name__ == '__main__': + import doctest + doctest.testmod() diff --git a/course/semester2/pprog/assignment1/odict.pyc b/course/semester2/pprog/assignment1/odict.pyc new file mode 100644 index 00000000..310adec4 Binary files /dev/null and b/course/semester2/pprog/assignment1/odict.pyc differ diff --git a/course/semester2/pprog/assignment1/openmp/graphics.o b/course/semester2/pprog/assignment1/openmp/graphics.o new file mode 100644 index 00000000..2778e735 Binary files /dev/null and b/course/semester2/pprog/assignment1/openmp/graphics.o differ diff --git a/course/semester2/pprog/assignment1/openmp/main.o b/course/semester2/pprog/assignment1/openmp/main.o new file mode 100644 index 00000000..314825d9 Binary files /dev/null and b/course/semester2/pprog/assignment1/openmp/main.o differ diff --git a/course/semester2/pprog/assignment1/openmp/nbody b/course/semester2/pprog/assignment1/openmp/nbody new file mode 100755 index 00000000..992f5659 Binary files /dev/null and b/course/semester2/pprog/assignment1/openmp/nbody differ diff --git a/course/semester2/pprog/assignment1/openmp/nbody.c b/course/semester2/pprog/assignment1/openmp/nbody.c index 053625bb..bc2d1732 100644 --- a/course/semester2/pprog/assignment1/openmp/nbody.c +++ b/course/semester2/pprog/assignment1/openmp/nbody.c @@ -13,6 +13,8 @@ System * sub_system = NULL; #endif //OVER_ENGINEERED +omp_lock_t runstate_lock; + /** * @function Simulation_Run * @purpose Start the simulation @@ -20,7 +22,7 @@ System * sub_system = NULL; */ void Simulation_Run(int argc, char ** argv) { - + omp_init_lock(&runstate_lock); if (options.num_threads == 0) options.num_threads = omp_get_max_threads(); @@ -38,15 +40,21 @@ void Simulation_Run(int argc, char ** argv) } - #pragma omp parallel sections num_threads(2) + #pragma omp parallel num_threads(2) { - #pragma omp section - { - Compute(); - } - #pragma omp section + // This can't be done with sections! + // Because glut is useless, and can only be dealt with in the main thread + // I just hope that thread "0" is always the main thread! + if (omp_get_thread_num() == 0) // #pragma omp section { + //printf("Thread %d gets graphics\n", omp_get_thread_num()); glutMainLoop(); + QuitProgram(false); // Program gets to here if the window is quit + } + else // #pragma omp section + { + //printf("Thread %d gets computations\n", omp_get_thread_num()); + Compute(); } } return; @@ -55,7 +63,7 @@ void Simulation_Run(int argc, char ** argv) Compute(); - + omp_destroy_lock(&runstate_lock); } @@ -134,5 +142,15 @@ void Compute(void) } } + QuitProgram(false); +} + +void QuitProgram(bool error) +{ + if (runstate == QUIT || runstate == QUIT_ERROR) + return; + omp_set_lock(&runstate_lock); + runstate = (error) ? QUIT_ERROR : QUIT; + omp_unset_lock(&runstate_lock); } diff --git a/course/semester2/pprog/assignment1/openmp/nbody.h b/course/semester2/pprog/assignment1/openmp/nbody.h index aea97bfc..d128a958 100644 --- a/course/semester2/pprog/assignment1/openmp/nbody.h +++ b/course/semester2/pprog/assignment1/openmp/nbody.h @@ -31,7 +31,8 @@ void Simulation_Run(int argc, char ** argv); #define AfterDraw() (void)0 //void AfterDraw(); - +#undef QuitProgram +void QuitProgram(bool error); void Compute(void); void Compute2(void); diff --git a/course/semester2/pprog/assignment1/openmp/nbody.o b/course/semester2/pprog/assignment1/openmp/nbody.o new file mode 100644 index 00000000..33e5c045 Binary files /dev/null and b/course/semester2/pprog/assignment1/openmp/nbody.o differ diff --git a/course/semester2/pprog/assignment1/performance_time_vs_steps.png b/course/semester2/pprog/assignment1/performance_time_vs_steps.png new file mode 100644 index 00000000..c7fa4b3a Binary files /dev/null and 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written on report.pdf (13 pages, 900519 bytes). +PDF statistics: + 294 PDF objects out of 1000 (max. 8388607) + 81 named destinations out of 1000 (max. 500000) + 159 words of extra memory for PDF output out of 10000 (max. 10000000) + diff --git a/course/semester2/pprog/assignment1/report/report.out b/course/semester2/pprog/assignment1/report/report.out new file mode 100644 index 00000000..425dc8ba --- /dev/null +++ b/course/semester2/pprog/assignment1/report/report.out @@ -0,0 +1,16 @@ +\BOOKMARK [1][-]{section.1}{Introduction}{} +\BOOKMARK [1][-]{section.2}{Euler's Method}{} +\BOOKMARK [1][-]{section.3}{Parallelisation}{} +\BOOKMARK [2][-]{subsection.3.1}{Graphics}{section.3} +\BOOKMARK [1][-]{section.4}{POSIX Threads \(pthreads\)}{} +\BOOKMARK [2][-]{subsection.4.1}{Barriers}{section.4} +\BOOKMARK [2][-]{subsection.4.2}{Division of Labour}{section.4} +\BOOKMARK [2][-]{subsection.4.3}{Single Threaded Section}{section.4} +\BOOKMARK [1][-]{section.5}{OpenMP}{} +\BOOKMARK 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header +%\usepackage{epstopdf} % Needed for eps graphics +\usepackage{hyperref} +\usepackage{lscape} + + \topmargin -1.5cm % read Lamport p.163 + \oddsidemargin -0.04cm % read Lamport p.163 + \evensidemargin -0.04cm % same as oddsidemargin but for left-hand pages + \textwidth 16.59cm + \textheight 21.94cm + %\pagestyle{empty} % Uncomment if don't want page numbers + \parskip 7.2pt % sets spacing between paragraphs + %\renewcommand{\baselinestretch}{1.5} % Uncomment for 1.5 spacing between lines + \parindent 0pt % sets leading space for paragraphs + + +\newcommand{\vect}[1]{\boldsymbol{#1}} % Draw a vector +\newcommand{\divg}[1]{\nabla \cdot #1} % divergence +\newcommand{\curl}[1]{\nabla \times #1} % curl +\newcommand{\grad}[1]{\nabla #1} %gradient +\newcommand{\pd}[3][ ]{\frac{\partial^{#1} #2}{\partial #3^{#1}}} %partial derivative +\newcommand{\der}[3][ ]{\frac{d^{#1} #2}{d #3^{#1}}} %full derivative +\newcommand{\phasor}[1]{\tilde{#1}} % make a phasor +\newcommand{\laplacian}[1]{\nabla^2 {#1}} % The laplacian operator + +\usepackage{color} +\usepackage{listings} + +\definecolor{darkgray}{rgb}{0.95,0.95,0.95} +\definecolor{darkred}{rgb}{0.75,0,0} +\definecolor{darkblue}{rgb}{0,0,0.75} +\definecolor{pink}{rgb}{1,0.5,0.5} +\lstset{language=Java} +\lstset{backgroundcolor=\color{darkgray}} +\lstset{numbers=left, numberstyle=\tiny, stepnumber=1, numbersep=5pt} +\lstset{keywordstyle=\color{darkred}\bfseries} +\lstset{commentstyle=\color{darkblue}} +%\lstset{stringsyle=\color{red}} +\lstset{showstringspaces=false} +\lstset{basicstyle=\small} + + +\begin{document} + +\pagestyle{fancy} +\fancyhead{} +\fancyfoot{} + +\fancyhead[LO, L]{} +\fancyfoot[CO, C]{\thepage} + +\title{\bf A Multithreaded N-Body Simulation} +\author{Sam Moore\\20503628@student.uwa.edu.au} +\date{} +\maketitle + +\tableofcontents + + + +\pagebreak + +\section{Introduction} + +An N-Body simulation's purpose is to solve for the positions and velocities of an arbitrary number of interacting bodies using numerical methods. + +Complex systems involving large numbers of bodies, interacting over long periods of time, are often of interest. Hence there is considerable motivation to improve the speed (amount of time simulated over real time required) of N-Body simulations. +This report focuses on increasing the speed of an N-Body simulation by introducing parallelism using threads. + +The bodies in this simulation interact according to Newtonian laws of gravity. The force acting on a body $A$ due to body $B$ is given by: +\begin{align*} + \vect{F_{AB}} &= G \frac{m_A m_B}{\left| \vect{r_B} - \vect{r_A} \right|^3} \left(\vect{r_B} - \vect{r_A}\right) +\end{align*} +Where $m_A$ and $m_B$ are the masses of the two bodies; $\vect{r_A}$ and $\vect{r_B}$ are the position vectors of the bodies, and $G$ is the universal gravitational constant. + +A template single threaded program was already provided by UWA. Some modifications were made in order to simplify the process of introducing threading to the program, and in one case to correct an error in the program. + +\section{Euler's Method} + +Euler's method has been used. A continuous time interval is approximated by a series of steps of length $\Delta t$, during which each body undergoes motion with constant acceleration. + +The algorithm in pseudo-code is: + + +\begin{lstlisting} +FOR each time interval of duration dt LOOP + FOR each body A // can be multithreaded + COMPUTE the force acting on A due to all other bodies B + DONE + + FOR each body A // can be multithreaded + COMPUTE the velocity of A as: + V += (Force on A / mass of A) * dt + COMPUTE the position of A as: + X += V * dt + DONE +DONE +\end{lstlisting} + + +The pseudo-code is misleading; it may appear that the two loops could be combined into a single loop. However, in the case where bodies are interacting, the force on any given body will depend upon the positions of other bodies. Consider two bodies $A$ and $B$ interacting within a single time step. If the force on $A$ is computed, and $A$'s position is updated before the force on $B$ is computed, then the force experienced by $B$ will not be equal and opposite to that experienced by $A$ - violating Newton's third law. + +The template program provided by UWA places force and position updates for each body in the same loop. This can be fixed by moving the position updates to a separate loop. In the multithreaded implementation, it is also important to ensure that \emph{all} forces are computed before any positions are changed, and vice versa before force computations may continue. + + + +\section{Parallelisation} + +The original algorithm can be parallelised by dividing each of the two loops indicated between a number of concurrently running threads. +Forces may be updated for separate bodies simultaneously with no risk of conflict, since the force of one body is independent of all others. Similarly, positions may be updated simultaneously. However, as discussed above, force and position updates must be done separately. + +The most effective way of parallelising the computations is as follows (not showing graphics related code): + +\begin{lstlisting} +CREATE n threads +FOR each thread T assign a subset of bodies + +FOR each thread T + FOR each time interval of duration dt LOOP + FOR each body A in T's subset + COMPUTE the force acting on A due to all other bodies + DONE + + BARRIER Wait for all threads to finish computing forces + + FOR each body A in T's subset + COMPUTE the position of A + DONE + + BARRIER Wait for all threads to finish computing positions + + DONE +DONE +\end{lstlisting} + +This algorithm avoids the cost of repeated thread creation and deletion; threads are only created once. +The barriers between force and position updates ensure that forces and positions are never updated at the same time in separate threads. + +\subsection{Graphics} + +The template program provides graphics using OpenGL and freeglut. In the multithreaded implementations, the graphics can be run in the main thread independent of computations with no effect on the final output of the simulation. However, the following problems may arise if the graphics thread is not synchronised with position updates: + +\begin{enumerate} +\item If a body's position is being altered whilst the graphics thread is drawing that body, the body may be drawn partway through the update of the three position coordinates. This will cause the body to be drawn displaced from its actual position by a small amount. + +\item Because position updates are finished in any order, with the barriers correctly implemented, the display may show some bodies remain stationary whilst the thread responsible for those bodies waits for other threads to reach the barrier. +\end{enumerate} + +To avoid these problems, the graphics thread must not commence drawing if position updates are in progress. Similarly, position updates must not commence whilst the graphics thread is still in the process of drawing. +\pagebreak + + +\section{POSIX Threads (pthreads)} + +\subsection{Barriers} + +Because \verb/pthread_barrier/ is unavailable on many UNIX systems, it was necessary to implement a barrier. + +The barrier functions as follows: +\begin{enumerate} + \item Initialised as ``inactive'' and with the total number of participating threads specified + \item When a thread calls \verb/Barrier_Join/ the barrier becomes ``active'' (if it wasn't already) + \item Each thread entering the barrier by calling \verb/Barrier_Join/ increments a counter. + \item Threads calling \verb/Barrier_Join/ must sleep using \verb/pthread_cond_wait/ until the counter reaches the total number of participating threads + \item The final thread to enter the barrier awakens the sleeping threads using \verb/pthread_cond_broadcast/, and sets the barrier as ``inactive''. +\end{enumerate} + +The concept of ``inactive'' and ``active'' barriers was useful for synchronising the graphics thread with the position computations. +The function \verb/Barrier_Wait/ allows a thread to pass the barrier if it is inactive, but forces the thread to wait if the barrier is active. The calling thread does not affect the barrier's counter of finished threads. + +The function \verb/Barrier_Enter/ can be called in a thread to set the barrier as ``active'', and then continue to perform tasks \emph{before} joining the barrier. ie: The barrier may be considered ``active'' by calls to \verb/Barrier_Wait/ before any threads have called \verb/Barrier_Join/. + +By calling \verb/Barrier_Enter/ in the position threads before the position updates begin, and \verb/Barrier_Wait/ in the graphics thread before the drawing begins, the graphics thread cannot commence drawing whilst positions are being updated. +Similarly, calling \verb/Barrier_Enter/ in the graphics thread before drawing, and \verb/Barrier_Wait/ in all position threads, ensures that the position updates cannot be started whilst drawing is in progress. + +To avoid deadlocks, three separate barriers have been used; one for each of the force, position and drawing updates. + +\subsection{Division of Labour} + +In the pthread implementation, some mechanism is needed to divide the bodies between threads. +This has been done by creating a data structure to describe an array of bodies, with the length of the array. Division of the array into subsections can be accomplished in the C programming language using pointer arithmetic. + +A global array of these data structures (\verb/System/) is constructed before thread creation, with each \verb/System/ containing a subsection of the original bodies array. Each thread is passed a pointer to one of the \verb/System/s through \verb/pthread_create/ + +Some helper functions have been implemented to perform tasks for a given \verb/System/ of bodies, and these are called where needed in the threads. + +\subsection{Single Threaded Section} +One disadvantage of having all computation threads continually running is that it is difficult to execute serial code in only \emph{one} thread. For example, a periodic printing of performance metrics and the updating of the number of steps computed must both be performed at the end of every time step by only one thread. To assist in executing serial code in one thread out of a ``team'', a function has been added to the \verb/Barrier/ implementation; \verb/Barrier_JoinCall/ will cause the last thread entering the barrier to execute a specified function containing serial code. This takes advantage of the fact that serial code can often occur immediately after a barrier. + +\section{OpenMP} + +The implementation in OpenMP is significantly simpler than pthreads. OpenMP automatically divides labour for threads encountering \verb/omp for/, which eliminates the need for constructing the \verb/System/ array. OpenMP also incorporates implicit barriers after most code sections. The use of \verb/omp single/ directives greatly simplifies the assignment of serial code to one thread in a team. + +Because OpenMP does not offer as much low level control over threads, the integration of graphics with the simulation differs. Specifically, because OpenMP does not have a barrier structure (instead using \verb/omp barrier/ directives), all threads involved in a barrier must occur within the same \verb/omp parallel/ section. + +Instead of creating a separate thread to run graphics, the OpenMP solution uses an \verb/omp master/ directive to perform graphics related code within the main computation loop. This occurs after the position computation barrier, and is followed by an explicit \verb/omp barrier/. It is important that the graphics related functions be run in the main thread; using \verb/omp single/ will often result in unusual behaviour, such as flickering of the display or the display not being drawn at all. + + +\section{Barnes Hut Algorithm} + +The Barnes Hut algorithm approximates a distant group of bodies by the group's centre of mass. This is done by the construction of a tree representing regions of space containing groups of bodies. Nodes at each level of the tree represent a volume obtained by dividing the volume of the parent. The force on a body can be approximated by a depth first search on the tree, stopping at nodes for which the centre of mass is ``distant'' to the body, otherwise continuing to the nodes children until nodes containing only one body are reached. + +Figure \ref{cubes.png} shows a graphical representation of the Barnes Hut algorithm. In this image, only Nodes (depicted as cubes representing the space within the node) containing exactly one body are shown. + +It is possible to parallelise the recursive algorithms used in constructing the tree and calculating forces. However, we have only implemented a serial version of the tree. Despite this, the calculation of forces can still be parallelised external to the tree. + +{\bf I have reached the page limit...} but I have lots of graphs to talk about still. Feel free to stop reading here. +\begin{center} + \includegraphics[scale=0.50]{/home/sam/Documents/University/honours/course/semester2/pprog/assignment1/nbody-bh/cubes.png} + \captionof{figure}{Barnes Hut - One body per cube} + \label{cubes.png} +\end{center} + +\subsection{Errors} + +Figure \ref{error_graph.png} shows the mean ``error'' between the Barnes Hut Algorithm and more exact brute force algorithm. This error is calculated by summing the absolute difference of each body's position components, and averaging over all position components. Note the logarithmic y axis. The error increases roughly linearly. There is little change in error for different values of $\theta$ between $0$ and $10$. + +Note: The same error analysis script confirmed that the multithreaded versions of the brute force algorithm gave the same outputs. + +\subsection{Performance for different $\theta$ values} + +Figure \ref{efficiency.png} shows the time taken for the (single threaded) Barnes Hut Algorithm to run a specified number of steps, for different values of $\theta$. The brute force algorithm is shown for comparison; for $\theta < 1$, the brute force algorithm is generally faster. +Taking into account both figures \ref{efficiency.png} and \ref{error_graph.png}, it would appear that $\theta = 10$ is a good balance between accuracy and speed, for this particular field of bodies. + +\begin{landscape} + +\begin{center} + \includegraphics[scale=0.50]{/home/sam/Documents/University/honours/course/semester2/pprog/assignment1/nbody-bh/error_graph.png} + \captionof{figure}{Barnes Hut mean error} \label{error_graph.png} +\end{center} + +\begin{center} + \includegraphics[scale=0.50]{/home/sam/Documents/University/honours/course/semester2/pprog/assignment1/nbody-bh/efficiency.png} + \captionof{figure}{Barnes Hut single threaded performance} \label{efficiency.png} +\end{center} + +\end{landscape} + +\pagebreak + +\section{Performance Analysis} + +\subsection{Time vs Steps} + +Figure \ref{time_vs_steps.png} shows the time taken to compute a varying number of steps for different programs. The field provided with 500 bodies was used. + +Several things can be noted from this graph: +\begin{itemize} + \item With $\theta = 10$, the Barnes Hut algorithm is significantly faster than brute force algorithms + \item Altering the number of threads has a significant effect on the brute force algorithm performance, but little effect on the Barnes Hut algorithm performance. This is because the vast majority of the Barnes Hut algorithm has not yet been multithreaded. + \item The optimum number of threads is equal to the number of cores available on the host machine (Intel Core i5). + (Pleiades was not available at the time of testing). + \item The pthreads and openmp implementations perform with similar speeds + \item The single threaded, brute force algorithms perform the worst +\end{itemize} + +The time taken to run varies with CPU load due to other processes, and so these results should be considered as qualitative. +Measurement of CPU cycles (as opposed to real time) is not a suitable metric, since on many UNIX systems, this measurement includes cycles run by all threads in a process. + +\subsection{Time to compute vs Number of Bodies} + +Figure \ref{time_vs_n.png} shows the time taken to compute 1000 steps against the number of bodies in the initial field. The brute force algorithms appear $O(n^2)$. Barnes Hut appears to be $O(n log(n))$. The fastest algorithm is Barnes Hut with $\theta = 10$. + +This experiment revealed (and was limited by) a flaw in (my implementation of) the Barnes Hut algorithm. When the body fields are randomly generated, the result is usually unbound orbits. As the size of the volume occupied by bodies is increasing, the algorithm must continually resize the root node of the tree, and then all children nodes, and ultimately create additional child nodes to contain single particles. Although the implementation attempts to minimise allocations of memory, it was found that for large numbers of bodies the program often became unresponsive. This may be due to the more closely approaching bodies experiencing extremely large forces, and moving away from the centre of the universe at high velocities. +. + +\pagebreak +\begin{landscape} + +\begin{center} + \includegraphics[scale=0.50]{/home/sam/Documents/University/honours/course/semester2/pprog/assignment1/performance_time_vs_steps.png} + \captionof{figure}{Implementation Performance} + \label{time_vs_steps.png} +\end{center} + +\begin{center} + \includegraphics[scale=0.50]{/home/sam/Documents/University/honours/course/semester2/pprog/assignment1/time_vs_n.png} + \captionof{figure}{Efficiency vs $n$} \label{time_vs_n.png} +\end{center} +\end{landscape} + +\subsection{Analysis with Callgrind} + +The tool \emph{callgrind} (part of \emph{valgrind}) can be used to generate information on the performance of a program, and to identify expensive lines of code or the cost of different function calls. Figure \ref{kcachegrind.png} shows a screenshot of \emph{kcachegrind}, a graphical tool to display the results obtained by callgrind. The program analysed is the Barnes Hut N-Body simulator, running for 10 steps, without graphics enabled. + +A larger copy of the image is attached with this report, file name ``nbody-bh/kcachegrind.png''. Several things are clear from this display: +\begin{enumerate} + \item The most expensive computations are due to the force computation function \verb/Node_Forces/. Close to 93\% of the program's time is spent in this function. + + \item Although there are only 500 bodies, the force calculation algorithm was called 15200000 times. This is significantly greater than the approximate 2500000 force computations for the brute force algorithm. + + For this particular initial field and choice of value for $\theta$ ($0.5$), the single threaded Barnes Hut algorithm performed worse than the single threaded brute force algorithm. As shown in Figure \ref{time_vs_n.png} however, the Barnes Hut algorithm performs extremely well for larger numbers of bodies. The ``better'' algorithm to use is determined by the problem. + + \item Most of the cost of a force calculation is due to two calculations (distance calculation and the actual force update) + The calls to \verb/sqrt/, a normally expensive function have a much lower total cost, but are called the same number of times. + The extra cost of the two calculations might be due to the costs of following the pointers (the code has not been optimised), + + \item The \verb/for/ loops, which were used after replacing the original 9 body variables (x, y, z, Vx, ..., Fx, ...) with three arrays, to condense the code, have a small but significant cost associated with them. +\end{enumerate} + +\begin{landscape} +\begin{center} + \includegraphics[scale=0.50]{/home/sam/Documents/University/honours/course/semester2/pprog/assignment1/nbody-bh/kcachegrind.png} + \captionof{figure}{Kcachegrind reveals why my program is slow} \label{kcachegrind.png} +\end{center} +\end{landscape} + +\end{document} + diff --git a/course/semester2/pprog/assignment1/report/report.tex~ b/course/semester2/pprog/assignment1/report/report.tex~ new file mode 100644 index 00000000..d9d4e3d6 --- /dev/null +++ b/course/semester2/pprog/assignment1/report/report.tex~ @@ -0,0 +1,315 @@ +\documentclass[10pt]{article} +\usepackage{graphicx} +\usepackage{caption} +\usepackage{amsmath} % needed for math align +\usepackage{bm} % needed for maths bold face + \usepackage{graphicx} % needed for including graphics e.g. EPS, PS +\usepackage{fancyhdr} % needed for header +%\usepackage{epstopdf} % Needed for eps graphics +\usepackage{hyperref} +\usepackage{lscape} + + \topmargin -1.5cm % read Lamport p.163 + \oddsidemargin -0.04cm % read Lamport p.163 + \evensidemargin -0.04cm % same as oddsidemargin but for left-hand pages + \textwidth 16.59cm + \textheight 21.94cm + %\pagestyle{empty} % Uncomment if don't want page numbers + \parskip 7.2pt % sets spacing between paragraphs + %\renewcommand{\baselinestretch}{1.5} % Uncomment for 1.5 spacing between lines + \parindent 0pt % sets leading space for paragraphs + + +\newcommand{\vect}[1]{\boldsymbol{#1}} % Draw a vector +\newcommand{\divg}[1]{\nabla \cdot #1} % divergence +\newcommand{\curl}[1]{\nabla \times #1} % curl +\newcommand{\grad}[1]{\nabla #1} %gradient +\newcommand{\pd}[3][ ]{\frac{\partial^{#1} #2}{\partial #3^{#1}}} %partial derivative +\newcommand{\der}[3][ ]{\frac{d^{#1} #2}{d #3^{#1}}} %full derivative +\newcommand{\phasor}[1]{\tilde{#1}} % make a phasor +\newcommand{\laplacian}[1]{\nabla^2 {#1}} % The laplacian operator + +\usepackage{color} +\usepackage{listings} + +\definecolor{darkgray}{rgb}{0.95,0.95,0.95} +\definecolor{darkred}{rgb}{0.75,0,0} +\definecolor{darkblue}{rgb}{0,0,0.75} +\definecolor{pink}{rgb}{1,0.5,0.5} +\lstset{language=Java} +\lstset{backgroundcolor=\color{darkgray}} +\lstset{numbers=left, numberstyle=\tiny, stepnumber=1, numbersep=5pt} +\lstset{keywordstyle=\color{darkred}\bfseries} +\lstset{commentstyle=\color{darkblue}} +%\lstset{stringsyle=\color{red}} +\lstset{showstringspaces=false} +\lstset{basicstyle=\small} + + +\begin{document} + +\pagestyle{fancy} +\fancyhead{} +\fancyfoot{} + +\fancyhead[LO, L]{} +\fancyfoot[CO, C]{\thepage} + +\title{\bf A Multithreaded N-Body Simulation} +\author{Sam Moore\\20503628@student.uwa.edu.au} +\date{} +\maketitle + +\tableofcontents + + + +\pagebreak + +\section{Introduction} + +An N-Body simulation's purpose is to solve for the positions and velocities of an arbitrary number of interacting bodies using numerical methods. + +Complex systems involving large numbers of bodies, interacting over long periods of time, are often of interest. Hence there is considerable motivation to improve the speed (amount of time simulated over real time required) of N-Body simulations. +This report focuses on increasing the speed of an N-Body simulation by introducing parallelism using threads. + +The bodies in this simulation interact according to Newtonian laws of gravity. The force acting on a body $A$ due to body $B$ is given by: +\begin{align*} + \vect{F_{AB}} &= G \frac{m_A m_B}{\left| \vect{r_B} - \vect{r_A} \right|^3} \left(\vect{r_B} - \vect{r_A}\right) +\end{align*} +Where $m_A$ and $m_B$ are the masses of the two bodies; $\vect{r_A}$ and $\vect{r_B}$ are the position vectors of the bodies, and $G$ is the universal gravitational constant. + +A template single threaded program was already provided by UWA. Some modifications were made in order to simplify the process of introducing threading to the program, and in one case to correct an error in the program. + +\section{Euler's Method} + +Euler's method has been used. A continuous time interval is approximated by a series of steps of length $\Delta t$, during which each body undergoes motion with constant acceleration. + +The algorithm in pseudo-code is: + + +\begin{lstlisting} +FOR each time interval of duration dt LOOP + FOR each body A // can be multithreaded + COMPUTE the force acting on A due to all other bodies B + DONE + + FOR each body A // can be multithreaded + COMPUTE the velocity of A as: + V += (Force on A / mass of A) * dt + COMPUTE the position of A as: + X += V * dt + DONE +DONE +\end{lstlisting} + + +The pseudo-code is misleading; it may appear that the two loops could be combined into a single loop. However, in the case where bodies are interacting, the force on any given body will depend upon the positions of other bodies. Consider two bodies $A$ and $B$ interacting within a single time step. If the force on $A$ is computed, and $A$'s position is updated before the force on $B$ is computed, then the force experienced by $B$ will not be equal and opposite to that experienced by $A$ - violating Newton's third law. + +The template program provided by UWA places force and position updates for each body in the same loop. This can be fixed by moving the position updates to a separate loop. In the multithreaded implementation, it is also important to ensure that \emph{all} forces are computed before any positions are changed, and vice versa before force computations may continue. + + + +\section{Parallelisation} + +The original algorithm can be parallelised by dividing each of the two loops indicated between a number of concurrently running threads. +Forces may be updated for separate bodies simultaneously with no risk of conflict, since the force of one body is independent of all others. Similarly, positions may be updated simultaneously. However, as discussed above, force and position updates must be done separately. + +The most effective way of parallelising the computations is as follows (not showing graphics related code): + +\begin{lstlisting} +CREATE n threads +FOR each thread T assign a subset of bodies + +FOR each thread T + FOR each time interval of duration dt LOOP + FOR each body A in T's subset + COMPUTE the force acting on A due to all other bodies + DONE + + BARRIER Wait for all threads to finish computing forces + + FOR each body A in T's subset + COMPUTE the position of A + DONE + + BARRIER Wait for all threads to finish computing positions + + DONE +DONE +\end{lstlisting} + +This algorithm avoids the cost of repeated thread creation and deletion; threads are only created once. +The barriers between force and position updates ensure that forces and positions are never updated at the same time in separate threads. + +\subsection{Graphics} + +The template program provides graphics using OpenGL and freeglut. In the multithreaded implementations, the graphics can be run in the main thread independent of computations with no effect on the final output of the simulation. However, the following problems may arise if the graphics thread is not synchronised with position updates: + +\begin{enumerate} +\item If a body's position is being altered whilst the graphics thread is drawing that body, the body may be drawn partway through the update of the three position coordinates. This will cause the body to be drawn displaced from its actual position by a small amount. + +\item Because position updates are finished in any order, with the barriers correctly implemented, the display may show some bodies remain stationary whilst the thread responsible for those bodies waits for other threads to reach the barrier. +\end{enumerate} + +To avoid these problems, the graphics thread must not commence drawing if position updates are in progress. Similarly, position updates must not commence whilst the graphics thread is still in the process of drawing. +\pagebreak + + +\section{POSIX Threads (pthreads)} + +\subsection{Barriers} + +Because \verb/pthread_barrier/ is unavailable on many UNIX systems, it was necessary to implement a barrier. + +The barrier functions as follows: +\begin{enumerate} + \item Initialised as ``inactive'' and with the total number of participating threads specified + \item When a thread calls \verb/Barrier_Join/ the barrier becomes ``active'' (if it wasn't already) + \item Each thread entering the barrier by calling \verb/Barrier_Join/ increments a counter. + \item Threads calling \verb/Barrier_Join/ must sleep using \verb/pthread_cond_wait/ until the counter reaches the total number of participating threads + \item The final thread to enter the barrier awakens the sleeping threads using \verb/pthread_cond_broadcast/, and sets the barrier as ``inactive''. +\end{enumerate} + +The concept of ``inactive'' and ``active'' barriers was useful for synchronising the graphics thread with the position computations. +The function \verb/Barrier_Wait/ allows a thread to pass the barrier if it is inactive, but forces the thread to wait if the barrier is active. The calling thread does not affect the barrier's counter of finished threads. + +The function \verb/Barrier_Enter/ can be called in a thread to set the barrier as ``active'', and then continue to perform tasks \emph{before} joining the barrier. ie: The barrier may be considered ``active'' by calls to \verb/Barrier_Wait/ before any threads have called \verb/Barrier_Join/. + +By calling \verb/Barrier_Enter/ in the position threads before the position updates begin, and \verb/Barrier_Wait/ in the graphics thread before the drawing begins, the graphics thread cannot commence drawing whilst positions are being updated. +Similarly, calling \verb/Barrier_Enter/ in the graphics thread before drawing, and \verb/Barrier_Wait/ in all position threads, ensures that the position updates cannot be started whilst drawing is in progress. + +To avoid deadlocks, three separate barriers have been used; one for each of the force, position and drawing updates. + +\subsection{Division of Labour} + +In the pthread implementation, some mechanism is needed to divide the bodies between threads. +This has been done by creating a data structure to describe an array of bodies, with the length of the array. Division of the array into subsections can be accomplished in the C programming language using pointer arithmetic. + +A global array of these data structures (\verb/System/) is constructed before thread creation, with each \verb/System/ containing a subsection of the original bodies array. Each thread is passed a pointer to one of the \verb/System/s through \verb/pthread_create/ + +Some helper functions have been implemented to perform tasks for a given \verb/System/ of bodies, and these are called where needed in the threads. + +\subsection{Single Threaded Section} +One disadvantage of having all computation threads continually running is that it is difficult to execute serial code in only \emph{one} thread. For example, a periodic printing of performance metrics and the updating of the number of steps computed must both be performed at the end of every time step by only one thread. To assist in executing serial code in one thread out of a ``team'', a function has been added to the \verb/Barrier/ implementation; \verb/Barrier_JoinCall/ will cause the last thread entering the barrier to execute a specified function containing serial code. This takes advantage of the fact that serial code can often occur immediately after a barrier. + +\section{OpenMP} + +The implementation in OpenMP is significantly simpler than pthreads. OpenMP automatically divides labour for threads encountering \verb/omp for/, which eliminates the need for constructing the \verb/System/ array. OpenMP also incorporates implicit barriers after most code sections. The use of \verb/omp single/ directives greatly simplifies the assignment of serial code to one thread in a team. + +Because OpenMP does not offer as much low level control over threads, the integration of graphics with the simulation differs. Specifically, because OpenMP does not have a barrier structure (instead using \verb/omp barrier/ directives), all threads involved in a barrier must occur within the same \verb/omp parallel/ section. + +Instead of creating a separate thread to run graphics, the OpenMP solution uses an \verb/omp master/ directive to perform graphics related code within the main computation loop. This occurs after the position computation barrier, and is followed by an explicit \verb/omp barrier/. It is important that the graphics related functions be run in the main thread; using \verb/omp single/ will often result in unusual behaviour, such as flickering of the display or the display not being drawn at all. + + +\section{Barnes Hut Algorithm} + +The Barnes Hut algorithm approximates a distant group of bodies by the group's centre of mass. This is done by the construction of a tree representing regions of space containing groups of bodies. Nodes at each level of the tree represent a volume obtained by dividing the volume of the parent. The force on a body can be approximated by a depth first search on the tree, stopping at nodes for which the centre of mass is ``distant'' to the body, otherwise continuing to the nodes children until nodes containing only one body are reached. + +Figure \ref{cubes.png} shows a graphical representation of the Barnes Hut algorithm. In this image, only Nodes (depicted as cubes representing the space within the node) containing exactly one body are shown. + +It is possible to parallelise the recursive algorithms used in constructing the tree and calculating forces. However, we have only implemented a serial version of the tree. Despite this, the calculation of forces can still be parallelised external to the tree. + +{\bf I have reached the page limit...} but I have lots of graphs to talk about still. Feel free to stop reading here. +\begin{center} + \includegraphics[scale=0.50]{/home/sam/Documents/University/honours/course/semester2/pprog/assignment1/nbody-bh/cubes.png} + \captionof{figure}{Barnes Hut - One body per cube} + \label{cubes.png} +\end{center} + +\subsection{Errors} + +Figure \ref{error_graph.png} shows the mean ``error'' between the Barnes Hut Algorithm and more exact brute force algorithm. This error is calculated by summing the absolute difference of each body's position components, and averaging over all position components. Note the logarithmic y axis. The error increases roughly linearly. There is little change in error for different values of $\theta$ between $0$ and $10$. + +Note: The same error analysis script confirmed that the multithreaded versions of the brute force algorithm gave the same outputs. + +\subsection{Performance for different $\theta$ values} + +Figure \ref{efficiency.png} shows the time taken for the (single threaded) Barnes Hut Algorithm to run a specified number of steps, for different values of $\theta$. The brute force algorithm is shown for comparison; for $\theta < 1$, the brute force algorithm is generally faster. +Taking into account both figures \ref{efficiency.png} and \ref{error_graph.png}, it would appear that $\theta = 10$ is a good balance between accuracy and speed, for this particular field of bodies. + +\begin{landscape} + +\begin{center} + \includegraphics[scale=0.50]{/home/sam/Documents/University/honours/course/semester2/pprog/assignment1/nbody-bh/error_graph.png} + \captionof{figure}{Barnes Hut mean error} \label{error_graph.png} +\end{center} + +\begin{center} + \includegraphics[scale=0.50]{/home/sam/Documents/University/honours/course/semester2/pprog/assignment1/nbody-bh/efficiency.png} + \captionof{figure}{Barnes Hut single threaded performance} \label{efficiency.png} +\end{center} + +\end{landscape} + +\pagebreak + +\section{Performance Analysis} + +\subsection{Time vs Steps} + +Figure \ref{time_vs_steps.png} shows the time taken to compute a varying number of steps for different programs. The field provided with 500 bodies was used. + +Several things can be noted from this graph: +\begin{itemize} + \item With $\theta = 10$, the Barnes Hut algorithm is significantly faster than brute force algorithms + \item Altering the number of threads has a significant effect on the brute force algorithm performance, but little effect on the Barnes Hut algorithm performance. This is because the vast majority of the Barnes Hut algorithm has not yet been multithreaded. + \item The optimum number of threads is equal to the number of cores available on the host machine (Intel Core i5). + (Pleiades was not available at the time of testing). + \item The pthreads and openmp implementations perform with similar speeds + \item The single threaded, brute force algorithms perform the worst +\end{itemize} + +The time taken to run varies with CPU load due to other processes, and so these results should be considered as qualitative. +Measurement of CPU cycles (as opposed to real time) is not a suitable metric, since on many UNIX systems, this measurement includes cycles run by all threads in a process. + +\subsection{Time to compute vs Number of Bodies} + +Figure \ref{time_vs_n.png} shows the time taken to compute 1000 steps against the number of bodies in the initial field. The brute force algorithms appear $O(n^2)$. Barnes Hut appears to be $O(n log(n))$. The fastest algorithm is Barnes Hut with $\theta = 10$. + +This experiment revealed (and was limited by) a flaw in (my implementation of) the Barnes Hut algorithm. When the body fields are randomly generated, the result is usually unbound orbits. As the size of the volume occupied by bodies is increasing, the algorithm must continually resize the root node of the tree, and then all children nodes, and ultimately create additional child nodes to contain single particles. Although the implementation attempts to minimise allocations of memory, it was found that for large numbers of bodies the program often became unresponsive. This may be due to the more closely approaching bodies experiencing extremely large forces, and moving away from the centre of the universe at high velocities. +. + +\pagebreak +\begin{landscape} + +\begin{center} + \includegraphics[scale=0.50]{/home/sam/Documents/University/honours/course/semester2/pprog/assignment1/performance_time_vs_steps.png} + \captionof{figure}{Implementation Performance} + \label{time_vs_steps.png} +\end{center} + +\begin{center} + \includegraphics[scale=0.50]{/home/sam/Documents/University/honours/course/semester2/pprog/assignment1/time_vs_n.png} + \captionof{figure}{Efficiency vs $n$} \label{time_vs_n.png} +\end{center} +\end{landscape} + +\subsection{Analysis with Callgrind} + +The tool \emph{callgrind} (part of \emph{valgrind}) can be used to generate information on the performance of a program, and to identify expensive lines of code or the cost of different function calls. Figure \ref{kcachegrind.png} shows a screenshot of \emph{kcachegrind}, a graphical tool to display the results obtained by callgrind. The program analysed is the Barnes Hut N-Body simulator, running for 10 steps, without graphics enabled. + +A larger copy of the image is attached with this report, file name ``nbody-bh/kcachegrind.png''. Several things are clear from this display: +\begin{enumerate} + \item The most expensive computations are due to the force computation function \verb/Node_Forces/. Close to 93\% of the program's time is spent in this function. + + \item Although there are only 500 bodies, the force calculation algorithm was called 15200000 times. This is significantly greater than the approximate 2500000 force computations for the brute force algorithm. + + For this particular initial field and choice of value for $\theta$ ($0.5$), the single threaded Barnes Hut algorithm performed worse than the single threaded brute force algorithm. As shown in Figure \ref{time_vs_n.png} however, the Barnes Hut algorithm performs extremely well for larger numbers of bodies. The ``better'' algorithm to use is determined by the problem. + + \item Most of the cost of a force calculation is due to two calculations (distance calculation and the actual force update) + The calls to \verb/sqrt/, a normally expensive function have a much lower total cost, but are called the same number of times. + The extra cost of the two calculations might be due to the costs of following the pointers (the code has not been optimised), + + \item The \verb/for/ loops, which were used after replacing the original 9 body variables (x, y, z, Vx, ..., Fx, ...) with three arrays, to condense the code, have a small but significant cost associated with them. +\end{enumerate} + +\begin{landscape} +\begin{center} + \includegraphics[scale=0.50]{/home/sam/Documents/University/honours/course/semester2/pprog/assignment1/nbody-bh/kcachegrind.png} + \captionof{figure}{Kcachegrind reveals why my program is slow} \label{kcachegrind.png} +\end{center} +\end{landscape} + +\end{document} + diff --git a/course/semester2/pprog/assignment1/report/report.toc b/course/semester2/pprog/assignment1/report/report.toc new file mode 100644 index 00000000..3e3504c7 --- /dev/null +++ b/course/semester2/pprog/assignment1/report/report.toc @@ -0,0 +1,16 @@ +\contentsline {section}{\numberline {1}Introduction}{2}{section.1} +\contentsline {section}{\numberline {2}Euler's Method}{2}{section.2} +\contentsline {section}{\numberline {3}Parallelisation}{3}{section.3} +\contentsline {subsection}{\numberline {3.1}Graphics}{3}{subsection.3.1} +\contentsline {section}{\numberline {4}POSIX Threads (pthreads)}{4}{section.4} +\contentsline {subsection}{\numberline {4.1}Barriers}{4}{subsection.4.1} +\contentsline {subsection}{\numberline {4.2}Division of Labour}{4}{subsection.4.2} +\contentsline {subsection}{\numberline {4.3}Single Threaded Section}{5}{subsection.4.3} +\contentsline {section}{\numberline {5}OpenMP}{5}{section.5} +\contentsline {section}{\numberline {6}Barnes Hut Algorithm}{5}{section.6} 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-0.569971 0.075287 0.349784 0.008957 -264750.032956 155941.644128 11998.233665 +10000000.000000 -56.981014 -32.327979 0.609136 0.806928 -4.064014 0.001551 13212.507147 8040.719122 -251.538739 +10000000.000000 43.967122 19.329713 0.703905 0.386889 -0.737336 0.000606 -26582.702395 -12327.717115 -597.600721 diff --git a/course/semester2/pprog/assignment1/single-thread/graphics.c b/course/semester2/pprog/assignment1/single-thread/graphics.c index e960ffe6..e275eb57 100644 --- a/course/semester2/pprog/assignment1/single-thread/graphics.c +++ b/course/semester2/pprog/assignment1/single-thread/graphics.c @@ -34,6 +34,7 @@ Camera eye; */ void Graphics_Run(int argc, char ** argv) { + if (options.draw_graphics == false) { // This message is left here for when I inevitably accidentally call the function @@ -53,6 +54,8 @@ void Graphics_Run(int argc, char ** argv) glutCreateWindow("N-Body : Multi-Threaded (pthread)"); #elif defined OMP_THREADED glutCreateWindow("N-Body : Multi-Threaded (OpenMP)"); + #elif defined BARNES_HUT + glutCreateWindow("N-Body : Barnes Hut Algorithm"); #else glutCreateWindow("N-Body"); #endif @@ -111,7 +114,10 @@ void Graphics_Run(int argc, char ** argv) #ifndef OMP_THREADED - glutMainLoop(); + #ifndef BARNES_HUT + glutMainLoop(); // the mthread and single-thread versions can just start the loop here + // In OpenMP, because barriers have to be within the #pragma, need glutMainLoopEvent in the #pragma + #endif //BARNS_HUT #endif //OMP_THREADED } @@ -134,6 +140,7 @@ void Graphics_Display() //Check whether the graphics thread should exit for any reason if (ExitCondition()) { + QuitProgram(false); glutLeaveMainLoop(); // original glut does not have this, which makes "nicely" exiting a bit annoying return; } @@ -168,12 +175,12 @@ void Graphics_Display() glutSolidSphere (BALL_SIZE, 10, 10); glPopMatrix(); // restore the previous matrix } - glFlush(); + AfterDraw(); // Stuff to do after graphics is done drawing // Single-thread - Nothing at all // Multiple threads - signal threads it is safe to change position variables - + glFlush(); } /** @@ -193,43 +200,44 @@ void Graphics_Keyboard(unsigned char theKey, int mouseX, int mouseY) } #ifdef FLYING_CAMERA + float s = 10; switch (theKey) { // Translate in direction of camera case 'W': case 'w': for (unsigned i = 0; i < DIMENSIONS; ++i) - eye.p[i] += eye.x[i]; + eye.p[i] += s * eye.x[i]; break; // Translate backwards from camera direction case 'S': case 's': for (unsigned i = 0; i < DIMENSIONS; ++i) - eye.p[i] -= eye.x[i]; + eye.p[i] -= s * eye.x[i]; break; // Translate left from camera direction case 'A': case 'a': for (unsigned i = 0; i < DIMENSIONS; ++i) - eye.p[i] -= eye.y[i]; + eye.p[i] -= s * eye.y[i]; break; // Translate right from camera direction case 'D': case 'd': for (unsigned i = 0; i < DIMENSIONS; ++i) - eye.p[i] += eye.y[i]; + eye.p[i] += s * eye.y[i]; break; // Translate up from camera direction case 'Q': case 'q': for (unsigned i = 0; i < DIMENSIONS; ++i) - eye.p[i] += eye.z[i]; + eye.p[i] += s * eye.z[i]; break; // Translate down from camera direction case 'E': case 'e': for (unsigned i = 0; i < DIMENSIONS; ++i) - eye.p[i] -= eye.z[i]; + eye.p[i] -= s * eye.z[i]; break; // Rotate camera direction "down" diff --git a/course/semester2/pprog/assignment1/single-thread/graphics.h b/course/semester2/pprog/assignment1/single-thread/graphics.h index 24a7a331..13a43696 100644 --- a/course/semester2/pprog/assignment1/single-thread/graphics.h +++ b/course/semester2/pprog/assignment1/single-thread/graphics.h @@ -42,6 +42,7 @@ void Graphics_Display(void); void Graphics_Keyboard(unsigned char key, int mouse_x, int mouse_y); void Graphics_Reshape(int width, int height); +extern double scale; #define FLYING_CAMERA diff --git a/course/semester2/pprog/assignment1/single-thread/graphics.o b/course/semester2/pprog/assignment1/single-thread/graphics.o new file mode 100644 index 00000000..07de784e Binary files /dev/null and b/course/semester2/pprog/assignment1/single-thread/graphics.o differ diff --git a/course/semester2/pprog/assignment1/single-thread/main.c b/course/semester2/pprog/assignment1/single-thread/main.c index e55c75f9..174e0054 100644 --- a/course/semester2/pprog/assignment1/single-thread/main.c +++ b/course/semester2/pprog/assignment1/single-thread/main.c @@ -47,9 +47,11 @@ int main(int argc, char** argv) options.num_steps = -1; // Negative values => simulation runs forever unless otherwise specified options.timeout = -1; options.draw_graphics = true; - options.pedantic_graphics = false; + options.pedantic_graphics = true; options.print_positions = false; options.verbosity = 0; + options.theta = 0.50; + options.random = 0; //If there are no arguments, print information about usage if (argc == 1) @@ -64,7 +66,7 @@ int main(int argc, char** argv) HandleArguments(argc, argv); //Check there is an initial field. - if (options.input == NULL) + if (options.input == NULL && options.random <= 0) { fprintf(stderr, "Usage: %s [OPTIONS] field\n", argv[0]); fprintf(stderr, " (You did not provide a file for the initial field of bodies)\n"); @@ -76,7 +78,11 @@ int main(int argc, char** argv) signal(SIGINT, Interrupt); //Handle SIGINT signals atexit(Universe_Cleanup); //On exit, cleanup universe (and write positions of bodies to file if supplied). atexit(DisplayStatistics); //On exit, print information about the computations done - System_Init(&universe,options.input); //Initialise the universe from the initial field + if (options.input != NULL) + System_Init(&universe,options.input); //Initialise the universe from the initial field + else + System_Random(&universe, options.random); //Randomly create bodies + //Setup the time of day at which the simulation starts if (gettimeofday(&(options.start_time), NULL) != 0) @@ -152,6 +158,14 @@ void HandleArguments(int argc, char ** argv) exit(EXIT_FAILURE); } break; + case 'r': //Random initial field + IntegerArgument(&i, argc, argv, &(options.random), NULL); + if (options.random < 0) + { + fprintf(stderr, "Require a positive integer number of bodies (-%c %s is invalid).", 'r', argv[i]); + exit(EXIT_FAILURE); + } + break; case 'g': //Graphics switch options.draw_graphics = !options.draw_graphics; break; @@ -174,6 +188,21 @@ void HandleArguments(int argc, char ** argv) fprintf(stderr, "Warning: %s switch has no effect in the single threaded program.\n", argv[i]); #endif //SINGLE_THREADED + } + else if (strcmp(argv[i]+2, "theta") == 0) + { + FloatArgument(&i, argc, argv, &(options.theta)); + #ifndef BARNES_HUT + fprintf(stderr, "Warning: %s switch only works in Barnes Hut version.\n", argv[i-1]); + #else + if (options.theta < 0) + { + fprintf(stderr, "Require a theta value greater or equal to zero (%s %s is invalid).\n", argv[i-1], argv[i]); + exit(EXIT_FAILURE); + } + + #endif //BARNS_HUT + } else { diff --git a/course/semester2/pprog/assignment1/single-thread/main.o b/course/semester2/pprog/assignment1/single-thread/main.o new file mode 100644 index 00000000..372a6084 Binary files /dev/null and b/course/semester2/pprog/assignment1/single-thread/main.o differ diff --git a/course/semester2/pprog/assignment1/single-thread/nbody b/course/semester2/pprog/assignment1/single-thread/nbody new file mode 100755 index 00000000..68992898 Binary files /dev/null and b/course/semester2/pprog/assignment1/single-thread/nbody differ diff --git a/course/semester2/pprog/assignment1/single-thread/nbody.c b/course/semester2/pprog/assignment1/single-thread/nbody.c index 30e5c761..cb39b7fe 100644 --- a/course/semester2/pprog/assignment1/single-thread/nbody.c +++ b/course/semester2/pprog/assignment1/single-thread/nbody.c @@ -62,9 +62,9 @@ inline void Body_Forces(Body * a, System * s) */ inline void Body_Force(Body * a, Body * b) { - double distance; - double con; - double gd; + float distance; + float con; + float gd; //Calculate distance between a and b distance = 0.0; for (unsigned i = 0; i < DIMENSIONS; ++i) @@ -158,6 +158,14 @@ inline void System_Init(System * s, const char *fileName) FILE * file; file = fopen(fileName, "rt"); + + if (file == NULL) + { + fprintf(stderr, "%s\n", fileName); + perror("Couldn't open file"); + exit(EXIT_FAILURE); + } + s->N = atoi(fgets(line, LINE_SIZE, file)); s->body = (Body*) calloc((size_t)s->N, sizeof(Body)); s->steps = 0; @@ -306,3 +314,32 @@ System * Split_System(System * s, unsigned n) } return result; } + +/** + * @function System_Random + * @purpose Randomly generate initial body field + * @param s - The system + * @param n - Number of bodies + */ +void System_Random(System * s, int n) +{ + srand(0); + s->N = (unsigned)n; + s->body = (Body*) calloc((size_t)s->N, sizeof(Body)); + s->steps = 0; + + s->body[0].mass = 1e11; + + for (unsigned a = 1; a < s->N; ++a) + { + s->body[a].mass = 1e7; + for (unsigned i = 0; i < DIMENSIONS; ++i) + { + s->body[a].x[i] = -10000 + rand() % 20000; + s->body[a].v[i] = -2 + rand() % 4; + } + s->body[a].v[2] = 0; + s->body[a].x[2] = 0; //set z to zero; force in plane + + } +} diff --git a/course/semester2/pprog/assignment1/single-thread/nbody.c~ b/course/semester2/pprog/assignment1/single-thread/nbody.c~ index df7cd9d0..718f25cf 100644 --- a/course/semester2/pprog/assignment1/single-thread/nbody.c~ +++ b/course/semester2/pprog/assignment1/single-thread/nbody.c~ @@ -62,6 +62,9 @@ inline void Body_Forces(Body * a, System * s) */ inline void Body_Force(Body * a, Body * b) { + float distance; + float con; + float gd; //Calculate distance between a and b distance = 0.0; for (unsigned i = 0; i < DIMENSIONS; ++i) @@ -155,6 +158,14 @@ inline void System_Init(System * s, const char *fileName) FILE * file; file = fopen(fileName, "rt"); + + if (file == NULL) + { + fprintf(stderr, "%s\n", fileName); + perror("Couldn't open file"); + exit(EXIT_FAILURE); + } + s->N = atoi(fgets(line, LINE_SIZE, file)); s->body = (Body*) calloc((size_t)s->N, sizeof(Body)); s->steps = 0; @@ -303,3 +314,32 @@ System * Split_System(System * s, unsigned n) } return result; } + +/** + * @function System_Random + * @purpose Randomly generate initial body field + * @param s - The system + * @param n - Number of bodies + */ +void System_Random(System * s, int n) +{ + srand(time(NULL)); + s->N = (unsigned)n; + s->body = (Body*) calloc((size_t)s->N, sizeof(Body)); + s->steps = 0; + + s->body[0].mass = 1e11; + + for (unsigned a = 1; a < s->N; ++a) + { + s->body[a].mass = 1e7; + for (unsigned i = 0; i < DIMENSIONS; ++i) + { + s->body[a].x[i] = -10000 + rand() % 20000; + s->body[a].v[i] = -2 + rand() % 4; + } + s->body[a].v[2] = 0; + s->body[a].x[2] = 0; //set z to zero; force in plane + + } +} diff --git a/course/semester2/pprog/assignment1/single-thread/nbody.h b/course/semester2/pprog/assignment1/single-thread/nbody.h index 2ce28b05..2ff81d7b 100644 --- a/course/semester2/pprog/assignment1/single-thread/nbody.h +++ b/course/semester2/pprog/assignment1/single-thread/nbody.h @@ -105,6 +105,8 @@ typedef struct int verbosity; // print statistics every number of steps indicated by this variable clock_t start_clock; // clock cycles done when simulation starts struct timeval start_time; // time at which simulation starts + float theta; // Parameter used for Barns Hut algorithm + int random; //Used to randomly create bodies } Options; void Body_Print(Body * a, FILE * out); //Print body a @@ -114,6 +116,7 @@ void Body_Velocity(Body * a); //Compute velocity of body a void Body_Position(Body * a); //Compute position of body a void System_Init(System * s, const char * fileName); //Initialise System (array of bodies) from a text file +void System_Random(System * s, int r); //Randomly create bodies void System_Compute(System * s); void System_Forces(System * s1, System * s2); //Compute forces for bodies in s1 due to bodies in s2 (also updates velocities) void System_Positions(System * s); //Update positions for bodies in s1 diff --git a/course/semester2/pprog/assignment1/single-thread/nbody.o b/course/semester2/pprog/assignment1/single-thread/nbody.o new file mode 100644 index 00000000..bc65de25 Binary files /dev/null and b/course/semester2/pprog/assignment1/single-thread/nbody.o differ diff --git a/course/semester2/pprog/assignment1/time_vs_n.png b/course/semester2/pprog/assignment1/time_vs_n.png new file mode 100644 index 00000000..d7720b27 Binary files /dev/null and b/course/semester2/pprog/assignment1/time_vs_n.png differ