From 6a756894beb0eecbdb940cd4b4a91394993494a1 Mon Sep 17 00:00:00 2001 From: Claudio Maggioni Date: Sun, 25 Sep 2022 18:06:55 +0200 Subject: [PATCH 1/5] hw0: fixed submission --- .../src/fraction_summing/fraction_toolbox.cpp | 1 + .../src/fraction_summing/fraction_toolbox.o | Bin 7272 -> 0 bytes Project0/src/fraction_summing/main | Bin 18928 -> 0 bytes Project0/src/fraction_summing/main.cpp | 14 ++++---------- project0_maggioni_claudio.tgz | Bin 0 -> 235417 bytes 5 files changed, 5 insertions(+), 10 deletions(-) delete mode 100644 Project0/src/fraction_summing/fraction_toolbox.o delete mode 100755 Project0/src/fraction_summing/main create mode 100644 project0_maggioni_claudio.tgz diff --git a/Project0/src/fraction_summing/fraction_toolbox.cpp b/Project0/src/fraction_summing/fraction_toolbox.cpp index 90e973e..959cf17 100644 --- a/Project0/src/fraction_summing/fraction_toolbox.cpp +++ b/Project0/src/fraction_summing/fraction_toolbox.cpp @@ -90,6 +90,7 @@ double sum_fraction_array_approx(fraction frac_array[], int n) { double sum = 0; for (int i = 0; i < n; i++) { + fraction& frac = frac_array[i]; sum += fraction2double(frac); } return sum; diff --git a/Project0/src/fraction_summing/fraction_toolbox.o b/Project0/src/fraction_summing/fraction_toolbox.o deleted file mode 100644 index 7baa377711af42b2a038a52fc39ec7934321deb1..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 7272 zcmb_gdu&tJ89$Dl#z5v9+HGX(Caj6JDI0E_2PD%v`6dor7nf!P+KvJ@H-0o;o!GOl z3v}&@aGWnL0BTCM9LCL*VJB#e2 zf7OHgztcf(SPcvTW0ATnKN<|pkJE|m^0w`LCHLjr2FgG+ED?*G+vB)x zFw)2s$N~l=jl2R>wV>qe%^K<8Idm<*@xOt*>U=mKpKO@9FG}N-#xvbP<6la4!g)(B z0-b-CMqURg8V-%1>~F4>(z&M`w{zdP#GMZqC)r8_az`BIN_;4dY(VFq1LsGdUR+!( ztwyegSW+&HeA8s0X}=hR51w!8-sb$ys|(eAyq$x&bSb^%C>3LZyRGExX7wDgmwe7b zO3-KhQOsPaN_h3r3X*rqyX4)n3YB!5I+8}daTB99Yw4mNJ}5t{$;vF~FGGsV!h4a1 zC9U>>{sn1lQ7JCCrLlrie9x^cTbMXhuE$&*;6`0;lLN<14zs$;^HJ%e0`${!(%MO- 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b/Project0/src/fraction_summing/main.cpp index 0c02967..c58069c 100644 --- a/Project0/src/fraction_summing/main.cpp +++ b/Project0/src/fraction_summing/main.cpp @@ -64,15 +64,15 @@ static void test_array_functions(int n) { fraction* a = (fraction*) malloc(sizeof(fraction) * n); fill_fraction_array(a, n); - + cout << "Sum of array as fraction: " << endl; print_fraction(sum_fraction_array(a, n)); cout << "Sum of array as double (approx.): " << endl; cout << sum_fraction_array_approx(a, n) << endl; - // find n for which sum function breaks. Explain what is happening. n=4448, - // this is the first number where the numerator overflows and thus + // find n for which sum function breaks. Explain what is happening. n=1290 + // this is the first number where the denominator overflows and thus // erroneoulsly becomes a negative number. The overflow is caused by the // sum_fractions function, specifically in the multiplication between // denominators. The approximation function doesn't overflow since fractions @@ -94,13 +94,7 @@ static void test_toolbox(int argc, char* argv[]) test5(); cout << "\n========== test_array_functions ========= " << endl; -#if 1 - cout << "Input n: " << endl; - int n; - cin >> n; -#else - int n = 5; -#endif + int n = 1290; test_array_functions(n); } diff --git a/project0_maggioni_claudio.tgz b/project0_maggioni_claudio.tgz new file mode 100644 index 0000000000000000000000000000000000000000..5644b48a9617f16b2db798674a1c242d8757f267 GIT binary patch literal 235417 zcmV(@K-Rw>iwFQtd@y4G1MFOVa2!Q;A4!&EFIbYnfPn-z0&K~)*1M}OTf#=Nz4D3( z%O}~v1p9{3?5s3lcV@FQYs(M?h&ifs9GtmIQq?Ux*{oZ2^h{Pe97^L zNpZQ>{E7=@|E8MW|>0iHo-S2hx>-TzgwYy~gwx-&N zjnc=L5|DbkyQPQWdC#Nst64txNWx80va2(h>g?|B=}Jn8WLK&;C6VrraZFAsTeean zM6&F1HnlmLE^8JP-5_O4D_NIfT$d>A7V~eF)Q@WoT)_M%dQ-hH|J{k6Ww*A09PNZ=RGfCwp@uW)Fhd82 z!{`GBAVNDG6D7X2jZ54f+Q+)M>C$$XToyI2DMnvxS*bueat!0oK<_^4?qlAvMZqlF 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-> 264557 bytes Project1/project_1_maggioni_claudio.pdf | Bin 0 -> 199526 bytes Project1/project_1_maggioni_claudio.tex | 79 +++++++ Project1/usi_inf.png | Bin 0 -> 99334 bytes 8 files changed, 489 insertions(+) create mode 100644 .gitignore create mode 100644 Project0/project0.pdf create mode 100644 Project1/Makefile create mode 100644 Project1/assignment.sty create mode 100644 Project1/project1.pdf create mode 100644 Project1/project_1_maggioni_claudio.pdf create mode 100644 Project1/project_1_maggioni_claudio.tex create mode 100644 Project1/usi_inf.png diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..6ec328e --- /dev/null +++ b/.gitignore @@ -0,0 +1,302 @@ +## Core latex/pdflatex auxiliary files: +*.aux +*.lof +*.log +*.lot +*.fls +*.out +*.toc +*.fmt +*.fot +*.cb +*.cb2 +.*.lb + +## Intermediate documents: +*.dvi +*.xdv +*-converted-to.* +# these rules might exclude image files for figures etc. +# *.ps +# *.eps +# *.pdf + +## Generated if empty string is given at "Please type another file name for output:" +.pdf + +## Bibliography auxiliary files (bibtex/biblatex/biber): +*.bbl +*.bcf +*.blg +*-blx.aux +*-blx.bib +*.run.xml + +## Build tool auxiliary files: +*.fdb_latexmk +*.synctex +*.synctex(busy) +*.synctex.gz +*.synctex.gz(busy) +*.pdfsync + +## Build tool directories for auxiliary files +# latexrun +latex.out/ + +## Auxiliary and intermediate files from other packages: +# algorithms +*.alg +*.loa + +# achemso +acs-*.bib + +# amsthm +*.thm + +# beamer +*.nav +*.pre +*.snm +*.vrb + +# changes +*.soc + +# comment +*.cut + +# cprotect +*.cpt + +# elsarticle (documentclass of Elsevier journals) +*.spl + +# endnotes +*.ent + +# fixme +*.lox + +# feynmf/feynmp +*.mf +*.mp +*.t[1-9] +*.t[1-9][0-9] +*.tfm + +#(r)(e)ledmac/(r)(e)ledpar +*.end +*.?end +*.[1-9] +*.[1-9][0-9] +*.[1-9][0-9][0-9] +*.[1-9]R +*.[1-9][0-9]R +*.[1-9][0-9][0-9]R +*.eledsec[1-9] +*.eledsec[1-9]R +*.eledsec[1-9][0-9] +*.eledsec[1-9][0-9]R +*.eledsec[1-9][0-9][0-9] +*.eledsec[1-9][0-9][0-9]R + +# glossaries +*.acn +*.acr +*.glg +*.glo +*.gls +*.glsdefs +*.lzo +*.lzs +*.slg +*.slo +*.sls + +# uncomment this for glossaries-extra (will ignore makeindex's style files!) +# *.ist + +# gnuplot +*.gnuplot +*.table + +# gnuplottex +*-gnuplottex-* + +# gregoriotex +*.gaux +*.glog +*.gtex + +# htlatex +*.4ct +*.4tc +*.idv +*.lg +*.trc +*.xref + +# hyperref +*.brf + +# knitr +*-concordance.tex +# TODO Uncomment the next line if you use knitr and want to ignore its generated tikz files +# *.tikz +*-tikzDictionary + +# listings +*.lol + +# luatexja-ruby +*.ltjruby + +# makeidx +*.idx +*.ilg +*.ind + +# minitoc +*.maf +*.mlf +*.mlt +*.mtc[0-9]* +*.slf[0-9]* +*.slt[0-9]* +*.stc[0-9]* + +# minted +_minted* +*.pyg + +# morewrites +*.mw + +# newpax +*.newpax + +# nomencl +*.nlg +*.nlo +*.nls + +# pax +*.pax + +# pdfpcnotes +*.pdfpc + +# sagetex +*.sagetex.sage +*.sagetex.py +*.sagetex.scmd + +# scrwfile +*.wrt + +# svg +svg-inkscape/ + +# sympy +*.sout +*.sympy +sympy-plots-for-*.tex/ + +# pdfcomment +*.upa +*.upb + +# pythontex +*.pytxcode +pythontex-files-*/ + +# tcolorbox +*.listing + +# thmtools +*.loe + +# TikZ & PGF +*.dpth +*.md5 +*.auxlock + +# titletoc +*.ptc + +# todonotes +*.tdo + +# vhistory +*.hst +*.ver + +# easy-todo +*.lod + +# xcolor +*.xcp + +# xmpincl +*.xmpi + +# xindy +*.xdy + +# xypic precompiled matrices and outlines +*.xyc +*.xyd + +# endfloat +*.ttt +*.fff + +# Latexian +TSWLatexianTemp* + +## Editors: +# WinEdt +*.bak +*.sav + +# Texpad +.texpadtmp + +# LyX +*.lyx~ + +# Kile +*.backup + +# gummi +.*.swp + +# KBibTeX +*~[0-9]* + +# TeXnicCenter +*.tps + +# auto folder when using emacs and auctex +./auto/* +*.el + +# expex forward references with \gathertags +*-tags.tex + +# standalone packages +*.sta + +# Makeindex log files +*.lpz + +# xwatermark package +*.xwm + +# REVTeX puts footnotes in the bibliography by default, unless the nofootinbib +# option is specified. 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zDgwg3tCtiT(>2b0HNJ_PoBLVd>Ilc`XoK?KhZgr!=D()8w=<81DkIV3S7iNd8UuHR zF98KXPhAr)fKb}>zeXw%{ct8G5UKb{@sHAhi<`KuC4714Eqn?RJ&^M*RA~DyoLUY znEvY!Q~%iL_LWr3$8F{jUiXnEd1TReOH Date: Tue, 27 Sep 2022 08:35:59 +0200 Subject: [PATCH 3/5] hw1: added sources --- .../matmult/Makefile | 33 ++++ .../matmult/benchmark.c | 174 ++++++++++++++++++ .../matmult/dgemm-blas.c | 38 ++++ .../matmult/dgemm-blocked.c | 37 ++++ .../matmult/dgemm-naive.c | 35 ++++ .../matmult/run_matrixmult.sh | 28 +++ .../matmult/timing.gp | 20 ++ 7 files changed, 365 insertions(+) create mode 100755 Project1/project_1_maggioni_claudio/matmult/Makefile create mode 100644 Project1/project_1_maggioni_claudio/matmult/benchmark.c create mode 100644 Project1/project_1_maggioni_claudio/matmult/dgemm-blas.c create mode 100644 Project1/project_1_maggioni_claudio/matmult/dgemm-blocked.c create mode 100644 Project1/project_1_maggioni_claudio/matmult/dgemm-naive.c create mode 100755 Project1/project_1_maggioni_claudio/matmult/run_matrixmult.sh create mode 100644 Project1/project_1_maggioni_claudio/matmult/timing.gp diff --git a/Project1/project_1_maggioni_claudio/matmult/Makefile b/Project1/project_1_maggioni_claudio/matmult/Makefile new file mode 100755 index 0000000..1f22bd7 --- /dev/null +++ b/Project1/project_1_maggioni_claudio/matmult/Makefile @@ -0,0 +1,33 @@ +# On Euler, we will benchmark your DGEMM's performance against the performance +# of the default vendor-tuned DGEMM. This is done in benchmark-blas. +# + +CC = gcc +OPT = -O2 +CFLAGS = -Wall -std=gnu99 $(OPT) +LDFLAGS = -Wall +# librt is needed for clock_gettime +LDLIBS = -lrt -Wl,--no-as-needed -L${MKLROOT}/lib/intel64 -lmkl_intel_lp64 -lmkl_core -lmkl_sequential -lpthread -lm -ldl -m64 -I${MKLROOT}/include + +targets = benchmark-naive benchmark-blocked benchmark-blas +objects = benchmark.o dgemm-naive.o dgemm-blocked.o dgemm-blas.o + +.PHONY : default +default : all + +.PHONY : all +all : clean $(targets) + +benchmark-naive : benchmark.o dgemm-naive.o + $(CC) -o $@ $^ $(LDLIBS) +benchmark-blocked : benchmark.o dgemm-blocked.o + $(CC) -o $@ $^ $(LDLIBS) +benchmark-blas : benchmark.o dgemm-blas.o + $(CC) -o $@ $^ $(LDLIBS) + +%.o : %.c + $(CC) -c $(CFLAGS) $< + +.PHONY : clean +clean: + rm -f $(targets) $(objects) diff --git a/Project1/project_1_maggioni_claudio/matmult/benchmark.c b/Project1/project_1_maggioni_claudio/matmult/benchmark.c new file mode 100644 index 0000000..7ee3b86 --- /dev/null +++ b/Project1/project_1_maggioni_claudio/matmult/benchmark.c @@ -0,0 +1,174 @@ +#include // For: exit, drand48, malloc, free, NULL, EXIT_FAILURE +#include // For: perror +#include // For: memset + +#include // For: DBL_EPSILON +#include // For: fabs + +#ifdef GETTIMEOFDAY +#include // For struct timeval, gettimeofday +#else +#include // For struct timespec, clock_gettime, CLOCK_MONOTONIC +#endif + +// On icsmaster +// 2.3 GHz * 8 vector width * 2 flops for FMA = 36.8 GF/s +#define MAX_SPEED 36.8 + +/* reference_dgemm wraps a call to the BLAS-3 routine DGEMM, via the standard FORTRAN interface - hence the reference semantics. */ +#define DGEMM dgemm_ +extern void DGEMM (char*, char*, int*, int*, int*, double*, double*, int*, double*, int*, double*, double*, int*); +void reference_dgemm (int N, double ALPHA, double* A, double* B, double* C) +{ + char TRANSA = 'N'; + char TRANSB = 'N'; + int M = N; + int K = N; + double BETA = 1.; + int LDA = N; + int LDB = N; + int LDC = N; + DGEMM(&TRANSA, &TRANSB, &M, &N, &K, &ALPHA, A, &LDA, B, &LDB, &BETA, C, &LDC); +} + +/* Your function must have the following signature: */ +extern const char* dgemm_desc; +extern void square_dgemm (int, double*, double*, double*); + +double wall_time () +{ +#ifdef GETTIMEOFDAY + struct timeval t; + gettimeofday (&t, NULL); + return 1.*t.tv_sec + 1.e-6*t.tv_usec; +#else + struct timespec t; + clock_gettime (CLOCK_MONOTONIC, &t); + return 1.*t.tv_sec + 1.e-9*t.tv_nsec; +#endif +} + +void die (const char* message) +{ + perror (message); + exit (EXIT_FAILURE); +} + +void fill (double* p, int n) +{ + for (int i = 0; i < n; ++i) + p[i] = 2 * drand48() - 1; // Uniformly distributed over [-1, 1] +} + +void absolute_value (double *p, int n) +{ + for (int i = 0; i < n; ++i) + p[i] = fabs (p[i]); +} + +/* The benchmarking program */ +int main (int argc, char **argv) +{ + printf ("#Description:\t%s\n\n", dgemm_desc); + + /* Test sizes should highlight performance dips at multiples of certain powers-of-two */ + + int test_sizes[] = + + /* Multiples-of-32, +/- 1. Currently commented. */ + /* {31,32,33,63,64,65,95,96,97,127,128,129,159,160,161,191,192,193,223,224,225,255,256,257,287,288,289,319,320,321,351,352,353,383,384,385,415,416,417,447,448,449,479,480,481,511,512,513,543,544,545,575,576,577,607,608,609,639,640,641,671,672,673,703,704,705,735,736,737,767,768,769,799,800,801,831,832,833,863,864,865,895,896,897,927,928,929,959,960,961,991,992,993,1023,1024,1025}; */ + + /* A representative subset of the first list. Currently uncommented. */ + { 31, 32, 96, 97, 127, 128, 129, 191, 192, 229, 255, 256, 257, + 319, 320, 321, 417, 479, 480, 511, 512, 639, 640, 767, 768, 769 }; + + int nsizes = sizeof(test_sizes)/sizeof(test_sizes[0]); + + /* assume last size is also the largest size */ + int nmax = test_sizes[nsizes-1]; + + /* allocate memory for all problems */ + double* buf = NULL; + buf = (double*) malloc (3 * nmax * nmax * sizeof(double)); + if (buf == NULL) die ("failed to allocate largest problem size"); + + double Mflops_s[nsizes],per[nsizes],aveper; + + /* For each test size */ + for (int isize = 0; isize < sizeof(test_sizes)/sizeof(test_sizes[0]); ++isize) + { + /* Create and fill 3 random matrices A,B,C*/ + int n = test_sizes[isize]; + + double* A = buf + 0; + double* B = A + nmax*nmax; + double* C = B + nmax*nmax; + + fill (A, n*n); + fill (B, n*n); + fill (C, n*n); + + /* Measure performance (in Gflops/s). */ + + /* Time a "sufficiently long" sequence of calls to reduce noise */ + double Gflops_s, seconds = -1.0; + double timeout = 0.1; // "sufficiently long" := at least 1/10 second. + for (int n_iterations = 1; seconds < timeout; n_iterations *= 2) + { + /* Warm-up */ + square_dgemm (n, A, B, C); + + /* Benchmark n_iterations runs of square_dgemm */ + seconds = -wall_time(); + for (int it = 0; it < n_iterations; ++it) + square_dgemm (n, A, B, C); + seconds += wall_time(); + + /* compute Gflop/s rate */ + Gflops_s = 2.e-9 * n_iterations * n * n * n / seconds; + } + + /* Storing Mflop rate and calculating percentage of peak */ + Mflops_s[isize] = Gflops_s*1000; + per[isize] = Gflops_s*100/MAX_SPEED; + + printf ("Size: %d\tMflop/s: %8g\tPercentage:%6.2lf\n", n, Mflops_s[isize],per[isize]); + + /* Ensure that error does not exceed the theoretical error bound. */ + + /* C := A * B, computed with square_dgemm */ + memset (C, 0, n * n * sizeof(double)); + square_dgemm (n, A, B, C); + + /* Do not explicitly check that A and B were unmodified on square_dgemm exit + * - if they were, the following will most likely detect it: + * C := C - A * B, computed with reference_dgemm */ + reference_dgemm(n, -1., A, B, C); + + /* A := |A|, B := |B|, C := |C| */ + absolute_value (A, n * n); + absolute_value (B, n * n); + absolute_value (C, n * n); + + /* C := |C| - 3 * e_mach * n * |A| * |B|, computed with reference_dgemm */ + reference_dgemm (n, -3.*DBL_EPSILON*n, A, B, C); + + /* If any element in C is positive, then something went wrong in square_dgemm */ + for (int i = 0; i < n * n; ++i) + if (C[i] > 0) + die("*** FAILURE *** Error in matrix multiply exceeds componentwise error bounds.\n" ); + } + + /* Calculating average percentage of peak reached by algorithm */ + aveper=0; + for (int i=0; i/dev/null 2>&1; then + module load gcc/10.1.0 intel-mkl/2020.1.217-gcc-10.1.0-qsctnr6 gnuplot +fi + +export OMP_NUM_THREADS=1 +export MKL_NUM_THREADS=1 + +echo "==== benchmark-naive ======================" +./benchmark-naive | tee timing_basic_dgemm.data +echo +echo "==== benchmark-blas =======================" +./benchmark-blas | tee timing_blas_dgemm.data +echo +echo "==== benchmark-blocked ====================" +./benchmark-blocked | tee timing_blocked_dgemm.data + +echo +echo "==== plot results =========================" +gnuplot timing.gp diff --git a/Project1/project_1_maggioni_claudio/matmult/timing.gp b/Project1/project_1_maggioni_claudio/matmult/timing.gp new file mode 100644 index 0000000..8a6ee16 --- /dev/null +++ b/Project1/project_1_maggioni_claudio/matmult/timing.gp @@ -0,0 +1,20 @@ +set title "NxN matrix-matrix-multiplication on 4-Core Intel(R) Xeon(R) CPU E3-1585L v5 @ 3.00GHz" +set xlabel "Matrix size (N)" +set ylabel "Performance (GFlop/s)" +set grid +set logscale y 10 + +set terminal postscript color "Helvetica" 14 +set output "timing.ps" + +# set terminal png color "Helvetica" 14 +# set output "timing.png" + +# plot "timing.data" using 2:4 title "square_dgemm" with linespoints + + +# For performance comparisons + +plot "timing_basic_dgemm.data" using 2:4 title "Naive dgemm" with linespoints, \ + "timing_blocked_dgemm.data" using 2:4 title "Blocked dgemm" with linespoints, \ + "timing_blas_dgemm.data" using 2:4 title "MKL blas dgemm" with linespoints From 0fe1838862410442b782e744fe4d2cd5755b48f4 Mon Sep 17 00:00:00 2001 From: Claudio Maggioni Date: Tue, 27 Sep 2022 08:39:49 +0200 Subject: [PATCH 4/5] hw1: added sources from GH --- .../membench/Makefile | 30 ++++ .../membench/gnuplot.template | 35 ++++ .../membench/membench.c | 168 ++++++++++++++++++ .../membench/run_membench.sh | 16 ++ 4 files changed, 249 insertions(+) create mode 100644 Project1/project_1_maggioni_claudio/membench/Makefile create mode 100644 Project1/project_1_maggioni_claudio/membench/gnuplot.template create mode 100644 Project1/project_1_maggioni_claudio/membench/membench.c create mode 100644 Project1/project_1_maggioni_claudio/membench/run_membench.sh diff --git a/Project1/project_1_maggioni_claudio/membench/Makefile b/Project1/project_1_maggioni_claudio/membench/Makefile new file mode 100644 index 0000000..522f0af --- /dev/null +++ b/Project1/project_1_maggioni_claudio/membench/Makefile @@ -0,0 +1,30 @@ +# +# Usage: +# make # run benchmark on the local machine or on cluster compute node +# # operated by SLURM +# +.PRECIOUS: %.gp %.xxx %.out + +#generic: generic.ps +generic: membench + +membench: membench.c + gcc -O3 -o membench membench.c + +clean: + make generic.clean + +%.ps: membench %.gp + sbatch ./run_membench.sh $* + module load gnuplot + gnuplot %.gp + +%.gp: gnuplot.template + sed -e '/sarlacc/ s//$*/' gnuplot.template > $*.gp + +%.clean: + rm -f $*.ps $*.gp $*.xxx *.out membench + +tar: + cd ../; tar cf membench.tar membench/* + diff --git a/Project1/project_1_maggioni_claudio/membench/gnuplot.template b/Project1/project_1_maggioni_claudio/membench/gnuplot.template new file mode 100644 index 0000000..3f39836 --- /dev/null +++ b/Project1/project_1_maggioni_claudio/membench/gnuplot.template @@ -0,0 +1,35 @@ +set terminal postscript color +set output "sarlacc.ps" +set style data linespoints +set style line 1 linetype 2 +set style line 2 linetype 3 +set style line 3 linetype 1 + +set logscale x 2 +set nokey +set xtics (4,16,64,256,"1K" 1024,"4K" 4096,"16K" 16384,"64K" 65536,"256K" 262144,"1M" 1048576) + + +set title "10-Core Intel(R) Xeon(R) CPU E3-1585L v5 @ 3.00GHz Read+Write (ns) Versus Stride" +set xlabel "Stride (bytes)" +set ylabel "Time Read+Write (nanoseconds)" + +set key on +plot 'sarlacc.xxx' index 0 using 2:3 title "0.5 KB" with linespoints, \ + 'sarlacc.xxx' index 1 using 2:3 title "1 KB" with linespoints, \ + 'sarlacc.xxx' index 2 using 2:3 title "2 KB" with linespoints, \ + 'sarlacc.xxx' index 3 using 2:3 title "4 KB" with linespoints, \ + 'sarlacc.xxx' index 4 using 2:3 title "8 KB" with linespoints, \ + 'sarlacc.xxx' index 5 using 2:3 title "16 KB" with linespoints, \ + 'sarlacc.xxx' index 6 using 2:3 title "32 KB" with linespoints, \ + 'sarlacc.xxx' index 7 using 2:3 title "64 KB" with linespoints, \ + 'sarlacc.xxx' index 8 using 2:3 title "128 KB" with linespoints, \ + 'sarlacc.xxx' index 9 using 2:3 title "256 KB" with linespoints, \ + 'sarlacc.xxx' index 10 using 2:3 title "512 KB" with linespoints, \ + 'sarlacc.xxx' index 11 using 2:3 title "1 MB" with linespoints, \ + 'sarlacc.xxx' index 12 using 2:3 title "2 MB" with linespoints, \ + 'sarlacc.xxx' index 13 using 2:3 title "4 MB" with linespoints, \ + 'sarlacc.xxx' index 14 using 2:3 title "8 MB" with linespoints, \ + 'sarlacc.xxx' index 15 using 2:3 title "16 MB" with linespoints, \ + 'sarlacc.xxx' index 16 using 2:3 title "32 MB" with linespoints, \ + 'sarlacc.xxx' index 17 using 2:3 title "64 MB" with linespoints diff --git a/Project1/project_1_maggioni_claudio/membench/membench.c b/Project1/project_1_maggioni_claudio/membench/membench.c new file mode 100644 index 0000000..e6d5fa9 --- /dev/null +++ b/Project1/project_1_maggioni_claudio/membench/membench.c @@ -0,0 +1,168 @@ +/* ==================================================================== * + * * + * membench.c -- Measurement of the performance of the memory * + * hierarchy. * + * * + * ==================================================================== */ + +#include +#include +#include +#include +#include +#include +#include +#include + +#define CACHE_MIN (128) /* smallest cache */ +#define CACHE_MAX (16 * 1024 * 1024) /* largest cache */ +#define SAMPLE 10 /* to get larger time sample */ + +int x[CACHE_MAX]; /* stride thru this array */ + +/** + * Get the number of CPU ticks since last booting the computer + */ +inline unsigned long long getCPUTick (void) +{ + unsigned lo, hi; + asm volatile ("rdtsc" : "=a" (lo), "=d" (hi)); + return (unsigned long long) hi << 32 | lo; +} + +/** + * Get the current system time in milliseconds + */ +unsigned long timeGetTime (void) +{ + /* Using Linux Time Functions To Determine Time */ + struct timeval tv; + gettimeofday (&tv, 0); + return tv.tv_sec * 1000 + tv.tv_usec / 1000; +} + +/** + * Determine the CPU clock speed. + * @param nTime The time in milliseconds used to perform the measurement + */ +unsigned long getCPUSpeed (long nTime) +{ + long long timeStart, timeStop; + long long startTick, endTick; + + long long overhead = getCPUTick () - getCPUTick (); + + /* Calculate Starting Time And Start Tick */ + timeStart = timeGetTime (); + while (timeGetTime () == timeStart) + timeStart = timeGetTime(); + + while (1) + { + timeStop = timeGetTime (); + if ((timeStop - timeStart) > 1) + { + startTick = getCPUTick (); + break; + } + } + + /* Calculate Stop Time And End Tick */ + timeStart = timeStop; + while (1) + { + timeStop = timeGetTime(); + if ((timeStop - timeStart) > nTime) + { + endTick = getCPUTick(); + break; + } + } + + /* Return The Processors Speed In Hertz */ + return (unsigned long) ((endTick - startTick) + (overhead)); +} + + +int main () +{ + int register i, index, stride, limit, temp; + long steps, tsteps; + int csize; + + /* timing variables */ + double sec; + + /* number of processor cycles used */ + unsigned long long cycles0, cycles; + + /* The CPU speed in Hz */ + unsigned long nHz = getCPUSpeed (1000); + + for (csize = CACHE_MIN; csize <= CACHE_MAX; csize <<= 1) + { + for (stride = 1; stride <= csize / 2; stride <<= 1) + { + /* init cycles counter */ + cycles = 0; + + /* cache size this loop */ + limit = csize - stride + 1; + steps = 0; + + do + { + cycles0 = getCPUTick (); + for (i = SAMPLE * stride; i != 0; i--) + { + /* larger sample */ + for (index = 0; index < limit; index += stride) + { + /* cache access */ + x[index] = x[index] + 1; + } + } + + /* count while loop iterations */ + steps++; + cycles += getCPUTick () - cycles0; + } while (cycles < nHz); /* repeat until collected 1 sec */ + sec = cycles / (double) nHz; + + /* repeat empty loop to subtract loop overhead */ + + /* used to match # while iterations */ + tsteps = 0; + + /* repeat until same # iterations as above */ + do + { + cycles0 = getCPUTick (); + for (i = SAMPLE * stride; i != 0; i--) + { + /* larger sample */ + + for (index = 0; index < limit; index += stride) + { + /* dummy code */ + temp = temp + index; + } + } + + /* count while loop iterations */ + tsteps++; + cycles -= getCPUTick () - cycles0; + } while (tsteps < steps); + + printf ("Size:%7lu Stride:%7lu read+write:%10.3f ns, sec = %6.3f, cycles = %lld steps = %6.0f\n", + csize * sizeof (int), stride * sizeof (int), + (double) sec * 1e9 / (steps * SAMPLE * stride * ((limit - 1) / stride + 1)), + sec, cycles, (double) steps); + fflush(stdout); + } + + printf ("\n\n"); + } + + return 0; +} diff --git a/Project1/project_1_maggioni_claudio/membench/run_membench.sh b/Project1/project_1_maggioni_claudio/membench/run_membench.sh new file mode 100644 index 0000000..e13c061 --- /dev/null +++ b/Project1/project_1_maggioni_claudio/membench/run_membench.sh @@ -0,0 +1,16 @@ +#!/bin/bash -l + +#SBATCH --job-name=membench +#SBATCH --time=00:30:00 +#SBATCH --nodes=1 +#SBATCH --output=membench-%j.out +#SBATCH --error=membench-%j.err + +# load modules +if command -v module 1>/dev/null 2>&1; then + module load gcc/10.1.0 gnuplot +fi + +./membench | sed -e '/:/ s//: /g' -e '/ */ s// /g' | cut -f2,4,6 > generic.xxx && sed -e '/sarlacc/ s//generic/' gnuplot.template > generic.gp + +gnuplot generic.gp From eba9ed889ef1e9636cb1920a73db03717d3bcdd8 Mon Sep 17 00:00:00 2001 From: Claudio Maggioni Date: Tue, 27 Sep 2022 09:00:08 +0200 Subject: [PATCH 5/5] hw1: ran 1.2 on macos --- .../membench/generic_macos.gp | 35 + .../membench/generic_macos.ps | 1667 +++++++++++++++++ .../membench/generic_macos.xxx | 315 ++++ .../membench/run_membench.sh | 0 4 files changed, 2017 insertions(+) create mode 100644 Project1/project_1_maggioni_claudio/membench/generic_macos.gp create mode 100644 Project1/project_1_maggioni_claudio/membench/generic_macos.ps create mode 100644 Project1/project_1_maggioni_claudio/membench/generic_macos.xxx mode change 100644 => 100755 Project1/project_1_maggioni_claudio/membench/run_membench.sh diff --git a/Project1/project_1_maggioni_claudio/membench/generic_macos.gp b/Project1/project_1_maggioni_claudio/membench/generic_macos.gp new file mode 100644 index 0000000..21b3ecc --- /dev/null +++ b/Project1/project_1_maggioni_claudio/membench/generic_macos.gp @@ -0,0 +1,35 @@ +set terminal postscript color +set output "generic.ps" +set style data linespoints +set style line 1 linetype 2 +set style line 2 linetype 3 +set style line 3 linetype 1 + +set logscale x 2 +set nokey +set xtics (4,16,64,256,"1K" 1024,"4K" 4096,"16K" 16384,"64K" 65536,"256K" 262144,"1M" 1048576) + + +set title "10-Core Intel(R) Xeon(R) CPU E3-1585L v5 @ 3.00GHz Read+Write (ns) Versus Stride" +set xlabel "Stride (bytes)" +set ylabel "Time Read+Write (nanoseconds)" + +set key on +plot 'generic.xxx' index 0 using 2:3 title "0.5 KB" with linespoints, \ + 'generic.xxx' index 1 using 2:3 title "1 KB" with linespoints, \ + 'generic.xxx' index 2 using 2:3 title "2 KB" with linespoints, \ + 'generic.xxx' index 3 using 2:3 title "4 KB" with linespoints, \ + 'generic.xxx' index 4 using 2:3 title "8 KB" with linespoints, \ + 'generic.xxx' index 5 using 2:3 title "16 KB" with linespoints, \ + 'generic.xxx' index 6 using 2:3 title "32 KB" with linespoints, \ + 'generic.xxx' index 7 using 2:3 title "64 KB" with linespoints, \ + 'generic.xxx' index 8 using 2:3 title "128 KB" with linespoints, \ + 'generic.xxx' index 9 using 2:3 title "256 KB" with linespoints, \ + 'generic.xxx' index 10 using 2:3 title "512 KB" with linespoints, \ + 'generic.xxx' index 11 using 2:3 title "1 MB" with linespoints, \ + 'generic.xxx' index 12 using 2:3 title "2 MB" with linespoints, \ + 'generic.xxx' index 13 using 2:3 title "4 MB" with linespoints, \ + 'generic.xxx' index 14 using 2:3 title "8 MB" with linespoints, \ + 'generic.xxx' index 15 using 2:3 title "16 MB" with linespoints, \ + 'generic.xxx' index 16 using 2:3 title "32 MB" with linespoints, \ + 'generic.xxx' index 17 using 2:3 title "64 MB" with linespoints diff --git a/Project1/project_1_maggioni_claudio/membench/generic_macos.ps b/Project1/project_1_maggioni_claudio/membench/generic_macos.ps new file mode 100644 index 0000000..3981e64 --- /dev/null +++ b/Project1/project_1_maggioni_claudio/membench/generic_macos.ps @@ -0,0 +1,1667 @@ +%!PS-Adobe-2.0 +%%Title: generic.ps +%%Creator: gnuplot 5.4 patchlevel 4 +%%CreationDate: Tue Sep 27 08:55:55 2022 +%%DocumentFonts: (atend) +%%BoundingBox: 50 50 554 770 +%%Orientation: Landscape +%%Pages: (atend) +%%EndComments +%%BeginProlog +/gnudict 256 dict def +gnudict begin +% +% The following true/false flags may be edited by hand if desired. +% The unit line width and grayscale image gamma correction may also be changed. +% +/Color true def +/Blacktext false def +/Solid false def +/Dashlength 1 def +/Landscape true def +/Level1 false def +/Level3 false def +/Rounded false def +/ClipToBoundingBox false def +/SuppressPDFMark false def +/TransparentPatterns false def +/gnulinewidth 5.000 def +/userlinewidth gnulinewidth def +/Gamma 1.0 def +/BackgroundColor {-1.000 -1.000 -1.000} def +% +/vshift -46 def +/dl1 { + 10.0 Dashlength userlinewidth gnulinewidth div mul mul mul + Rounded { currentlinewidth 0.75 mul sub dup 0 le { pop 0.01 } if } if +} def +/dl2 { + 10.0 Dashlength userlinewidth gnulinewidth div mul mul mul + Rounded { currentlinewidth 0.75 mul add } if +} def +/hpt_ 31.5 def +/vpt_ 31.5 def +/hpt hpt_ def +/vpt vpt_ def +/doclip { + ClipToBoundingBox { + newpath 50 50 moveto 554 50 lineto 554 770 lineto 50 770 lineto closepath + clip + } if +} def +% +% Gnuplot Prolog Version 5.2 (Dec 2017) +% +%/SuppressPDFMark true def +% +/M {moveto} bind def +/L {lineto} bind def +/R {rmoveto} bind def +/V {rlineto} bind def +/N {newpath moveto} bind def +/Z {closepath} bind def +/C {setrgbcolor} bind def +/f {rlineto fill} bind def +/g {setgray} bind def +/Gshow {show} def % May be redefined later in the file to support UTF-8 +/vpt2 vpt 2 mul def +/hpt2 hpt 2 mul def +/Lshow {currentpoint stroke M 0 vshift R + Blacktext {gsave 0 setgray textshow grestore} {textshow} ifelse} def +/Rshow {currentpoint stroke M dup stringwidth pop neg vshift R + Blacktext {gsave 0 setgray textshow grestore} {textshow} ifelse} def +/Cshow {currentpoint stroke M dup stringwidth pop -2 div vshift R + Blacktext {gsave 0 setgray textshow grestore} {textshow} ifelse} def +/UP {dup vpt_ mul /vpt exch def hpt_ mul /hpt exch def + /hpt2 hpt 2 mul def /vpt2 vpt 2 mul def} def +/DL {Color {setrgbcolor Solid {pop []} if 0 setdash} + {pop pop pop 0 setgray Solid {pop []} if 0 setdash} ifelse} def +/BL {stroke userlinewidth 2 mul setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def +/AL {stroke userlinewidth 2 div setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def +/UL {dup gnulinewidth mul /userlinewidth exch def + dup 1 lt {pop 1} if 10 mul /udl exch def} def +/PL {stroke userlinewidth setlinewidth + Rounded {1 setlinejoin 1 setlinecap} if} def +3.8 setmiterlimit +% Classic Line colors (version 5.0) +/LCw {1 1 1} def +/LCb {0 0 0} def +/LCa {0 0 0} def +/LC0 {1 0 0} def +/LC1 {0 1 0} def +/LC2 {0 0 1} def +/LC3 {1 0 1} def +/LC4 {0 1 1} def +/LC5 {1 1 0} def +/LC6 {0 0 0} def +/LC7 {1 0.3 0} def +/LC8 {0.5 0.5 0.5} def +% Default dash patterns (version 5.0) +/LTB {BL [] LCb DL} def +/LTw {PL [] 1 setgray} def +/LTb {PL [] LCb DL} def +/LTa {AL [1 udl mul 2 udl mul] 0 setdash LCa setrgbcolor} def +/LT0 {PL [] LC0 DL} def +/LT1 {PL [2 dl1 3 dl2] LC1 DL} def +/LT2 {PL [1 dl1 1.5 dl2] LC2 DL} def +/LT3 {PL [6 dl1 2 dl2 1 dl1 2 dl2] LC3 DL} def +/LT4 {PL [1 dl1 2 dl2 6 dl1 2 dl2 1 dl1 2 dl2] LC4 DL} def +/LT5 {PL [4 dl1 2 dl2] LC5 DL} def +/LT6 {PL [1.5 dl1 1.5 dl2 1.5 dl1 1.5 dl2 1.5 dl1 6 dl2] LC6 DL} def +/LT7 {PL [3 dl1 3 dl2 1 dl1 3 dl2] LC7 DL} def +/LT8 {PL [2 dl1 2 dl2 2 dl1 6 dl2] LC8 DL} def +/SL {[] 0 setdash} def +/Pnt {stroke [] 0 setdash gsave 1 setlinecap M 0 0 V stroke grestore} def +/Dia {stroke [] 0 setdash 2 copy vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath stroke + Pnt} def +/Pls {stroke [] 0 setdash vpt sub M 0 vpt2 V + currentpoint stroke M + hpt neg vpt neg R hpt2 0 V stroke + } def +/Box {stroke [] 0 setdash 2 copy exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath stroke + Pnt} def +/Crs {stroke [] 0 setdash exch hpt sub exch vpt add M + hpt2 vpt2 neg V currentpoint stroke M + hpt2 neg 0 R hpt2 vpt2 V stroke} def +/TriU {stroke [] 0 setdash 2 copy vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke + Pnt} def +/Star {2 copy Pls Crs} def +/BoxF {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath fill} def +/TriUF {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath fill} def +/TriD {stroke [] 0 setdash 2 copy vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath stroke + Pnt} def +/TriDF {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath fill} def +/DiaF {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath fill} def +/Pent {stroke [] 0 setdash 2 copy gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath stroke grestore Pnt} def +/PentF {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath fill grestore} def +/Circle {stroke [] 0 setdash 2 copy + hpt 0 360 arc stroke Pnt} def +/CircleF {stroke [] 0 setdash hpt 0 360 arc fill} def +/C0 {BL [] 0 setdash 2 copy moveto vpt 90 450 arc} bind def +/C1 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc closepath fill + vpt 0 360 arc closepath} bind def +/C2 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C3 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C4 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C5 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc + 2 copy moveto + 2 copy vpt 180 270 arc closepath fill + vpt 0 360 arc} bind def +/C6 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C7 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 270 arc closepath fill + vpt 0 360 arc closepath} bind def +/C8 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C9 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 270 450 arc closepath fill + vpt 0 360 arc closepath} bind def +/C10 {BL [] 0 setdash 2 copy 2 copy moveto vpt 270 360 arc closepath fill + 2 copy moveto + 2 copy vpt 90 180 arc closepath fill + vpt 0 360 arc closepath} bind def +/C11 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 180 arc closepath fill + 2 copy moveto + 2 copy vpt 270 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C12 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 180 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C13 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 0 90 arc closepath fill + 2 copy moveto + 2 copy vpt 180 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/C14 {BL [] 0 setdash 2 copy moveto + 2 copy vpt 90 360 arc closepath fill + vpt 0 360 arc} bind def +/C15 {BL [] 0 setdash 2 copy vpt 0 360 arc closepath fill + vpt 0 360 arc closepath} bind def +/Rec {newpath 4 2 roll moveto 1 index 0 rlineto 0 exch rlineto + neg 0 rlineto closepath} bind def +/Square {dup Rec} bind def +/Bsquare {vpt sub exch vpt sub exch vpt2 Square} bind def +/S0 {BL [] 0 setdash 2 copy moveto 0 vpt rlineto BL Bsquare} bind def +/S1 {BL [] 0 setdash 2 copy vpt Square fill Bsquare} bind def +/S2 {BL [] 0 setdash 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S3 {BL [] 0 setdash 2 copy exch vpt sub exch vpt2 vpt Rec fill Bsquare} bind def +/S4 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S5 {BL [] 0 setdash 2 copy 2 copy vpt Square fill + exch vpt sub exch vpt sub vpt Square fill Bsquare} bind def +/S6 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S7 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt vpt2 Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S8 {BL [] 0 setdash 2 copy vpt sub vpt Square fill Bsquare} bind def +/S9 {BL [] 0 setdash 2 copy vpt sub vpt vpt2 Rec fill Bsquare} bind def +/S10 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt Square fill + Bsquare} bind def +/S11 {BL [] 0 setdash 2 copy vpt sub vpt Square fill 2 copy exch vpt sub exch vpt2 vpt Rec fill + Bsquare} bind def +/S12 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill Bsquare} bind def +/S13 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy vpt Square fill Bsquare} bind def +/S14 {BL [] 0 setdash 2 copy exch vpt sub exch vpt sub vpt2 vpt Rec fill + 2 copy exch vpt sub exch vpt Square fill Bsquare} bind def +/S15 {BL [] 0 setdash 2 copy Bsquare fill Bsquare} bind def +/D0 {gsave translate 45 rotate 0 0 S0 stroke grestore} bind def +/D1 {gsave translate 45 rotate 0 0 S1 stroke grestore} bind def +/D2 {gsave translate 45 rotate 0 0 S2 stroke grestore} bind def +/D3 {gsave translate 45 rotate 0 0 S3 stroke grestore} bind def +/D4 {gsave translate 45 rotate 0 0 S4 stroke grestore} bind def +/D5 {gsave translate 45 rotate 0 0 S5 stroke grestore} bind def +/D6 {gsave translate 45 rotate 0 0 S6 stroke grestore} bind def +/D7 {gsave translate 45 rotate 0 0 S7 stroke grestore} bind def +/D8 {gsave translate 45 rotate 0 0 S8 stroke grestore} bind def +/D9 {gsave translate 45 rotate 0 0 S9 stroke grestore} bind def +/D10 {gsave translate 45 rotate 0 0 S10 stroke grestore} bind def +/D11 {gsave translate 45 rotate 0 0 S11 stroke grestore} bind def +/D12 {gsave translate 45 rotate 0 0 S12 stroke grestore} bind def +/D13 {gsave translate 45 rotate 0 0 S13 stroke grestore} bind def +/D14 {gsave translate 45 rotate 0 0 S14 stroke grestore} bind def +/D15 {gsave translate 45 rotate 0 0 S15 stroke grestore} bind def +/DiaE {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V closepath stroke} def +/BoxE {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V closepath stroke} def +/TriUE {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V closepath stroke} def +/TriDE {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V closepath stroke} def +/PentE {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + closepath stroke grestore} def +/CircE {stroke [] 0 setdash + hpt 0 360 arc stroke} def +/Opaque {gsave closepath 1 setgray fill grestore 0 setgray closepath} def +/DiaW {stroke [] 0 setdash vpt add M + hpt neg vpt neg V hpt vpt neg V + hpt vpt V hpt neg vpt V Opaque stroke} def +/BoxW {stroke [] 0 setdash exch hpt sub exch vpt add M + 0 vpt2 neg V hpt2 0 V 0 vpt2 V + hpt2 neg 0 V Opaque stroke} def +/TriUW {stroke [] 0 setdash vpt 1.12 mul add M + hpt neg vpt -1.62 mul V + hpt 2 mul 0 V + hpt neg vpt 1.62 mul V Opaque stroke} def +/TriDW {stroke [] 0 setdash vpt 1.12 mul sub M + hpt neg vpt 1.62 mul V + hpt 2 mul 0 V + hpt neg vpt -1.62 mul V Opaque stroke} def +/PentW {stroke [] 0 setdash gsave + translate 0 hpt M 4 {72 rotate 0 hpt L} repeat + Opaque stroke grestore} def +/CircW {stroke [] 0 setdash + hpt 0 360 arc Opaque stroke} def +/BoxFill {gsave Rec 1 setgray fill grestore} def +/Density { + /Fillden exch def + currentrgbcolor + /ColB exch def /ColG exch def /ColR exch def + /ColR ColR Fillden mul Fillden sub 1 add def + /ColG ColG Fillden mul Fillden sub 1 add def + /ColB ColB Fillden mul Fillden sub 1 add def + ColR ColG ColB setrgbcolor} def +/BoxColFill {gsave Rec PolyFill} def +/PolyFill {gsave Density fill grestore grestore} def +/h {rlineto rlineto rlineto closepath gsave fill grestore stroke} bind def +% +% PostScript Level 1 Pattern Fill routine for rectangles +% Usage: x y w h s a XX PatternFill +% x,y = lower left corner of box to be filled +% w,h = width and height of box +% a = angle in degrees between lines and x-axis +% XX = 0/1 for no/yes cross-hatch +% +/PatternFill {gsave /PFa [ 9 2 roll ] def + PFa 0 get PFa 2 get 2 div add PFa 1 get PFa 3 get 2 div add translate + PFa 2 get -2 div PFa 3 get -2 div PFa 2 get PFa 3 get Rec + TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse + clip + currentlinewidth 0.5 mul setlinewidth + /PFs PFa 2 get dup mul PFa 3 get dup mul add sqrt def + 0 0 M PFa 5 get rotate PFs -2 div dup translate + 0 1 PFs PFa 4 get div 1 add floor cvi + {PFa 4 get mul 0 M 0 PFs V} for + 0 PFa 6 get ne { + 0 1 PFs PFa 4 get div 1 add floor cvi + {PFa 4 get mul 0 2 1 roll M PFs 0 V} for + } if + stroke grestore} def +% +/languagelevel where + {pop languagelevel} {1} ifelse +dup 2 lt + {/InterpretLevel1 true def + /InterpretLevel3 false def} + {/InterpretLevel1 Level1 def + 2 gt + {/InterpretLevel3 Level3 def} + {/InterpretLevel3 false def} + ifelse } + ifelse +% +% PostScript level 2 pattern fill definitions +% +/Level2PatternFill { +/Tile8x8 {/PaintType 2 /PatternType 1 /TilingType 1 /BBox [0 0 8 8] /XStep 8 /YStep 8} + bind def +/KeepColor {currentrgbcolor [/Pattern /DeviceRGB] setcolorspace} bind def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke} +>> matrix makepattern +/Pat1 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 8 8 L 0 8 M 8 0 L stroke + 0 4 M 4 8 L 8 4 L 4 0 L 0 4 L stroke} +>> matrix makepattern +/Pat2 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 0 M 0 8 L + 8 8 L 8 0 L 0 0 L fill} +>> matrix makepattern +/Pat3 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop -4 8 M 8 -4 L + 0 12 M 12 0 L stroke} +>> matrix makepattern +/Pat4 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop -4 0 M 8 12 L + 0 -4 M 12 8 L stroke} +>> matrix makepattern +/Pat5 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop -2 8 M 4 -4 L + 0 12 M 8 -4 L 4 12 M 10 0 L stroke} +>> matrix makepattern +/Pat6 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop -2 0 M 4 12 L + 0 -4 M 8 12 L 4 -4 M 10 8 L stroke} +>> matrix makepattern +/Pat7 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 8 -2 M -4 4 L + 12 0 M -4 8 L 12 4 M 0 10 L stroke} +>> matrix makepattern +/Pat8 exch def +<< Tile8x8 + /PaintProc {0.5 setlinewidth pop 0 -2 M 12 4 L + -4 0 M 12 8 L -4 4 M 8 10 L stroke} +>> matrix makepattern +/Pat9 exch def +/Pattern1 {PatternBgnd KeepColor Pat1 setpattern} bind def +/Pattern2 {PatternBgnd KeepColor Pat2 setpattern} bind def +/Pattern3 {PatternBgnd KeepColor Pat3 setpattern} bind def +/Pattern4 {PatternBgnd KeepColor Landscape {Pat5} {Pat4} ifelse setpattern} bind def +/Pattern5 {PatternBgnd KeepColor Landscape {Pat4} {Pat5} ifelse setpattern} bind def +/Pattern6 {PatternBgnd KeepColor Landscape {Pat9} {Pat6} ifelse setpattern} bind def +/Pattern7 {PatternBgnd KeepColor Landscape {Pat8} {Pat7} ifelse setpattern} bind def +} def +% +% +%End of PostScript Level 2 code +% +/PatternBgnd { + TransparentPatterns {} {gsave 1 setgray fill grestore} ifelse +} def +% +% Substitute for Level 2 pattern fill codes with +% grayscale if Level 2 support is not selected. +% +/Level1PatternFill { +/Pattern1 {0.250 Density} bind def +/Pattern2 {0.500 Density} bind def +/Pattern3 {0.750 Density} bind def +/Pattern4 {0.125 Density} bind def +/Pattern5 {0.375 Density} bind def +/Pattern6 {0.625 Density} bind def +/Pattern7 {0.875 Density} bind def +} def +% +% Now test for support of Level 2 code +% +Level1 {Level1PatternFill} {Level2PatternFill} ifelse +% +/Symbol-Oblique /Symbol findfont [1 0 .167 1 0 0] makefont +dup length dict begin {1 index /FID eq {pop pop} {def} ifelse} forall +currentdict end definefont pop +% +/Metrics {ExtendTextBox Gswidth} def +/Lwidth {currentpoint stroke M 0 vshift R Metrics} def +/Rwidth {currentpoint stroke M dup stringwidth pop neg vshift R Metrics} def +/Cwidth {currentpoint stroke M dup stringwidth pop -2 div vshift R Metrics} def +/GLwidth {currentpoint stroke M 0 vshift R {ExtendTextBox} forall} def +/GRwidth {currentpoint stroke M dup Gwidth vshift R {ExtendTextBox} forall} def +/GCwidth {currentpoint stroke M dup Gwidth 2 div vshift R {ExtendTextBox} forall} def +/GLwidth2 {0 Gwidth AddGlyphWidth} def +/GRwidth2 {Gwidth -1 mul 0 AddGlyphWidth} def +/GCwidth2 {Gwidth 2 div dup -1 mul AddGlyphWidth} def +/AddGlyphWidth { dup TBx2 gt {userdict /TBx2 3 -1 roll put} {pop} ifelse + dup TBx1 lt {userdict /TBx1 3 -1 roll put} {pop} ifelse } def +/MFshow { + { dup 5 get 3 ge + { 5 get 3 eq {gsave} {grestore} ifelse } + {dup dup 0 get findfont exch 1 get scalefont setfont + [ currentpoint ] exch dup 2 get 0 exch R dup 5 get 2 ne {dup dup 6 + get exch 4 get {textshow} {Metrics pop 0 R} ifelse }if dup 5 get 0 eq + {dup 3 get {2 get neg 0 exch R pop} {pop aload pop M} ifelse} {dup 5 + get 1 eq {dup 2 get exch dup 3 get exch 6 get Gswidth pop -2 div + dup 0 R} {dup 6 get Gswidth pop -2 div 0 R 6 get + textshow 2 index {aload pop M neg 3 -1 roll neg R pop pop} {pop pop pop + pop aload pop M} ifelse }ifelse }ifelse } + ifelse } + forall} def +/Gswidth {dup type /stringtype eq {stringwidth} {pop (n) stringwidth} ifelse} def +/MFwidth {0 exch { dup 5 get 3 ge { 5 get 3 eq { 0 } { pop } ifelse } + {dup 3 get{dup dup 0 get findfont exch 1 get scalefont setfont + 6 get Gswidth pop add} {pop} ifelse} ifelse} forall} def +/MLshow { currentpoint stroke M + 0 exch R + Blacktext {gsave 0 setgray MFshow grestore} {MFshow} ifelse } bind def +/MRshow { currentpoint stroke M + exch dup MFwidth neg 3 -1 roll R + Blacktext {gsave 0 setgray MFshow grestore} {MFshow} ifelse } bind def +/MCshow { currentpoint stroke M + exch dup MFwidth -2 div 3 -1 roll R + Blacktext {gsave 0 setgray MFshow grestore} {MFshow} ifelse } bind def +/XYsave { [( ) 1 2 true false 3 ()] } bind def +/XYrestore { [( ) 1 2 true false 4 ()] } bind def +Level1 SuppressPDFMark or +{} { +/SDict 10 dict def +systemdict /pdfmark known not { + userdict /pdfmark systemdict /cleartomark get put +} if +SDict begin [ + /Title (generic.ps) + /Subject (gnuplot plot) + /Creator (gnuplot 5.4 patchlevel 4) +% /Producer (gnuplot) +% /Keywords () + /CreationDate (Tue Sep 27 08:55:55 2022) + /DOCINFO pdfmark +end +} ifelse +% +% Support for boxed text - Ethan A Merritt Sep 2016 +% +/InitTextBox { userdict /TBy2 3 -1 roll put userdict /TBx2 3 -1 roll put + userdict /TBy1 3 -1 roll put userdict /TBx1 3 -1 roll put + /Boxing true def } def +/ExtendTextBox { dup type /stringtype eq + { Boxing { gsave dup false charpath pathbbox + dup TBy2 gt {userdict /TBy2 3 -1 roll put} {pop} ifelse + dup TBx2 gt {userdict /TBx2 3 -1 roll put} {pop} ifelse + dup TBy1 lt {userdict /TBy1 3 -1 roll put} {pop} ifelse + dup TBx1 lt {userdict /TBx1 3 -1 roll put} {pop} ifelse + grestore } if } + {} ifelse} def +/PopTextBox { newpath TBx1 TBxmargin sub TBy1 TBymargin sub M + TBx1 TBxmargin sub TBy2 TBymargin add L + TBx2 TBxmargin add TBy2 TBymargin add L + TBx2 TBxmargin add TBy1 TBymargin sub L closepath } def +/DrawTextBox { PL PopTextBox stroke /Boxing false def} def +/FillTextBox { gsave PopTextBox fill grestore /Boxing false def} def +0 0 0 0 InitTextBox +/TBxmargin 20 def +/TBymargin 20 def +/Boxing false def +/textshow { ExtendTextBox Gshow } def +% +end +%%EndProlog +%%Page: 1 1 +gnudict begin +gsave +doclip +50 50 translate +0.100 0.100 scale +90 rotate +0 -5040 translate +0 setgray +newpath +(Helvetica) findfont 140 scalefont setfont +BackgroundColor 0 lt 3 1 roll 0 lt exch 0 lt or or not {gsave BackgroundColor C clippath fill grestore} if +1.000 UL +LTb +LCb setrgbcolor +602 448 M +63 0 V +6282 0 R +-63 0 V +stroke +518 448 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 0)] +] -46.7 MRshow +/Helvetica findfont 140 scalefont setfont +/vshift -46 def +1.000 UL +LTb +LCb setrgbcolor +602 1282 M +63 0 V +6282 0 R +-63 0 V +stroke +518 1282 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 5)] +] -46.7 MRshow +/Helvetica findfont 140 scalefont setfont +1.000 UL +LTb +LCb setrgbcolor +602 2116 M +63 0 V +6282 0 R +-63 0 V +stroke +518 2116 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 10)] +] -46.7 MRshow +/Helvetica findfont 140 scalefont setfont +1.000 UL +LTb +LCb setrgbcolor +602 2951 M +63 0 V +6282 0 R +-63 0 V +stroke +518 2951 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 15)] +] -46.7 MRshow +/Helvetica findfont 140 scalefont setfont +1.000 UL +LTb +LCb setrgbcolor +602 3785 M +63 0 V +6282 0 R +-63 0 V +stroke +518 3785 M +[ [(Helvetica) 140.0 0.0 true true 0 ( 20)] +] -46.7 MRshow 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