From 3ff75954ac217e89e83b667316e789a7422ac4f4 Mon Sep 17 00:00:00 2001 From: VGoncalo Date: Fri, 27 Mar 2026 00:58:02 +0000 Subject: [PATCH] best speedup and efficiency achieved --- ImprovedParallelMatricSearch.c | 53 ++++++++++++++++++++++++++------- MatrixParallelPrograming.pdf | Bin 420934 -> 409257 bytes MatrixParallelPrograming.tex | 30 ++++++++++++------- 3 files changed, 63 insertions(+), 20 deletions(-) diff --git a/ImprovedParallelMatricSearch.c b/ImprovedParallelMatricSearch.c index 0df0ba1..b385384 100644 --- a/ImprovedParallelMatricSearch.c +++ b/ImprovedParallelMatricSearch.c @@ -5,7 +5,7 @@ const int m_rows = 40000; const int m_cols = 40000; -const int threads_to_use = 8; +const int threads_to_use = 4; _Atomic int hv = 0; int **matrix; @@ -15,6 +15,16 @@ typedef struct{ int end; } thread_args; +void* parallel_populate_matrix(void *arg){ + thread_args *args = (thread_args *)arg; + for(int r = 0; r < m_rows; r++){ + for(int c = args->start; c < args->end;c++){ + matrix[r][c] = r*m_cols+c; + } + } + return NULL; +} + void* parallel_search_cols(void *arg){ thread_args *args = (thread_args *)arg; int local_hv = 0; @@ -63,14 +73,40 @@ void run_parallel_search(int num_threads) { free(args); } -void init_parallel_matrix(int num_threads){ - for(int r = 0; r < m_rows; r++){ - for(int c = 0; c < m_cols; c++){ - matrix[r][c] = r*m_cols+c; +void init_parallel_matrix(int *data,int num_threads){ + pthread_t *threads = malloc(num_threads * sizeof(pthread_t)); + thread_args *args = malloc(num_threads * sizeof(thread_args)); + if (threads == NULL || args == NULL) { + perror("Failed to allocate memory for threads"); + exit(1); } - } + + for(int r = 0; r Allocate memory\n"); clock_t t_t1; t_t1 = clock(); @@ -93,10 +129,7 @@ int main(void){ printf("2nd --> Populate the matrix\n"); clock_t t_t2; t_t2 = clock(); - for(int r = 0; r*cXxMpZs$AazW44O zXT1Kg2ehoNRn;|Xmh{XK6h7mZOG82H^i|11xx9g;jMQ*Q%%p+G`Zj}DH-iWz@&Sq~ z(J>i@woaH2$`&4QYL8SwXB-|(B5)Jc`TABawkwVg_T%dh!_+5TNZuqZ^BN{ymdH8b zU(6`OD>Y1<*qWZgL&AJF4(9n=^8ukW7m*QIv~r>7;aA-C-;eEbgspI<1X>ZzKhb0M zkuS&~?On>h-o&(YHwSMXz&vfPB2SzNT#vuIgu~6!41c2!csAd@7EqAGviBlcd{M>d zBA{TRLG_6p`Y|aod_El;f=-C%YcFRN5E$_7Se(n|BGB9O=Ls2H&^HV&j^o|hibW&4lN`eHvh9cSFJayACON!m+jQ1N<;TyDY5-eiAF(}h{#Qro*-#q z;2rO!RVEFUOwv}gz$Iozf_<|l)9ZlJQaN)v>%~dQDZ<9WEt$M>piufuW3SLd``tvP zil)&ko4T;OCG7jmObThAKQElsKUA;^K66Z%vd5&7Rb#0|CsGS)|OYEG%8#v9a?cD#Jn3CXU!ZBPG%_L!rU)eEj(FKgI-( zm#vg^t-M$q0Qu?XpSpDie)So#^D(I|^l5UtEB!e%(+&NU0ws9_DOL*+$L2?w@{^n} zE=2Z*a+`2fp4~~l6|BY_B1cJjN8!R!9XfNAxB)+5-%v98kU8g>5x~MTk{DgSPSYJY zpz}(Wxx9Fd+@xEKLjIp4mO%m+SVQ?usQEoOn2g7Xl9JNY)HEKC7SNUz`$^7AZCJrtf|Qz{OM6=w`0YBczE#g_NEJ1US3YrNk|wIgg_J~ zmY3zv7Z(;9?HcvVb{)87axvv$A#2FS6-gV3Uknei3)Q}GrdkD#?oMVX!N5ScrNzWx zd*Qq7U0m4V%9@&*f`cVRMPX9jK>Xz;vK{U0P>*BZO9%npN`wB?K{TP;(tG(zIl|u{ z5a^#I@oBNE7RZ5lHy=gCc0RezQm$Y_=FmP9`Imf4k<}(YTuOe=raDEP+^q`(vFA!e zFtkZ`Sq4uE8ictcK(w;|FNGy1#l~*#?&9I&&yA0tYrq@Im3Ey#kGc3zLI8h`@87@g z@9(FjrS(RVT;AU1(?JKccXnnM6@~Y1I&u@IDfH?cBUQ&e|TNT@54{eG}vu5PsH zq5rIPl0E)7-I*LeaOGrH`3Z>bOQhkCTc-CB;Q`*4te!xBZWZFr)a%KIhG-?ErXFr@ zi&M}jrVkAbnNm;04GhQxk22WB5+>EG`y6au(%s}wD(dhLILG&dD8fO?DY&`0+1cYH zP)Ygc#>U#^kl(ynb80}%&`kBcdDc>oaqOEq=%hK7bh z(Do<$`&RO6zkmNeI5`gXj;T>kSY#ci>s!z4GwQOw!pfYwu^-uRvhX3qpBQmfpHxt6(lGJxc27_3D*!D@OvK>Mam$36H3#|m%Oo4TwR{|$Zvaib$A|7s#iA3riQq_lrn+oOYgYH=ycV7oD2?IfPm z@{zW6lyGZ0Dm3Vt0XME2vW5@;%?L+#f#oB!&~e}6RctMHZ9^UX6)TL;Ov$wLVm|3$h5@O zg8{K-Mu9J+N&POT-0|0oHSw}JG^DxKm89!?{%w97-N`JnX5&q?PU+Ch}TI)?;^yThLq{rc>)};51n)EET>bCJF0nlT%UWm0;Z-~wVtjcEtlTeT@_ zJ}!rU%bXOK3Z{-RyGz$lG5ra|OkQ4DtR*#eqOz2LK!WjS@fW+QzDI1YLLi2U;Zi2v+LD!@j962~86l9Pq$$G9 z%iLNLd47Ua$tnn>9O!&7dx#8jA)m0&KauMdlD%M*eJ_7@mjLxRB9&JwTdXDVc;9Yt? z8b=q@HCN0zL)NS7>+72v6=*QvurM+4xXvI%CJ2%}4UTHko=G%^dYL+7B(o^sw_Yl7 zT7LpS{Wr-OGPLNAt~*a8`=b~uKIDV=FYslSg`G~@|YA+|2e7u zhaM(GcmMP>KWV!-6Qe?ln1n>0;^gFnl#~<&1wc_qIn78bt4nOR{>F96@^Tq=d^XtW zE{HNB=-99&Bjf8O?e1Fixp<0keeH22`%nkN18F z>eZ*o8;FD?K+KYF!vasBmuDv>{GnB6UW)I86?Rv_&WS(xb8YrPnigzg`NvR4W?`vXHX1_CmsDx=0Wl zw~-7EM)T{nzc1QCj_6(~hW_?GCM0Nf$;jI_k+nTfAPJrGXX%(CsHh z11w0_Zn6uLzn2QDJEq;48gB*&#o4*hjvcBg=;dP$ zZ_~nO^Jt%KxDl=IXW?Sl)j^e)%?n^#>e2vv88_wnKQ`|oC&tPee!dt-iRm;L8(HO= zeZuOD?Yf}6QVr39pHrM6dCSfWBx8BlzPg+x*rK+*nu+kX^_tfHZqU#0>X9;f%yJ%d z`4jwT%bZ74aFQa%0Chx0ga((Ap;N!@OGeyck=iNrdeq};H`t6JK-$cFIXMl2!@%NY zVU#V}#0OE+yaM^JsKHP-(Zi^430!EP?dEpQR$n+dpX^G^QD6byqV9N5tg?}XHTHX%-BBu1FB(>*|%7) z6^|oI(K2!TGsG}FOrPGj5K=pAL?2Zsm8U{*T!o}|UJHa;oMQKLp8S@gjdqo(+0%xG z%oJKB0))R>O37-S>*%K^;n_z{l*VOq?Yn|}yQ7o8fl;8J$LB9pyX->_RvX&j>)@+b zbf?h0{1o_QiBfz7m5~{ic(Bq$-2ynV+<)z;YulW*7bXtM_D9(S=$q^^US#44?je8C~Hhh8Bc{R`LdWE zoE(rh=JLP*l5c$KDyp>A%a=sNTAn9G1bcw$Y~hEj`BIVHEMtO&uallkvayNuFGi)S zfnCP>MpVcQ82!ApSYF12Y$sEx*7aS>lrar_|Wp$^y9ibt`2fXnHzxumd4u}mf z%LIv(4kj4l+(xMUXst

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This change alone makes the program finishes with a mean value of 8.192 seconds (using 8 threads for a 40k rows and columns matrix), comparing with the values on tables 1 and 2 we can validate the benefit of this change by computing $efficiency = \frac{1.1335}{8} = 14.16 \%$. -\section*{Conclusions} -Modern CPUs can spawn thousands of virtual threads to perform calculations.\\ +The second task, matrix initialisation, simulates the sequential section of a program in this study, but we could try to parallelise this operation has an extra exercise. The function init\_parallel\_matrix() was defined in order to populate segments of the matrix by different threads with a similar algorithm used for columns search. With all configurations out of the way, the program now takes 4,821 seconds of wall-clock time with 4 threads. The following metrics were obtained: + + +\begin{figure}[h] +\begin{minipage}[c]{0.45\textwidth} + \begin{itemize} + \item speedup = 1,9262 + \item efficiency = 48,15\% + \end{itemize} +\end{minipage} +\begin{minipage}[c]{0.5\textwidth} +\includegraphics[width=0.925\textwidth]{imagens/matrixsearchsequencial-07.png} +\end{minipage} +\end{figure} -The action of populating the matrix could also update the value of global variable hv instead of the 3rd task. Search the matrix could have a local variable to store the highest value found and compare with the global var hv at the end.\\ -The clock() function from time.h library is useless to compute wall-clock time and therefore should be ignored on metrics evaluations. +\section*{Conclusions} +This study revealed a few characteristics of modern cpu behaviours. Apart from being able to spawn thousands of virtual threads to perform calculations, way more than the expected, the framework they use can also predict and make computations easy. On the last experiment of parallelising both tasks, the program takes very similar total cpu time executing them, less than 9 seconds, or less than 2,25 seconds each thread, if we compare with values presented previously for the 2nd and 3rd task before parallelisation, considerably away from each other, we can almost argue that the cpu still "remembers" the matrix while searching it. +Parallelising a simple search algorithm is heavily influenced by memory access patterns and synchronization overhead. While modern cpus can spawn multiple threads, the transition from sequential to parallel is not always linear. Our initial attempt using atomic variables showed that high contention can actually degrade performance. By implementing local thread variables, we achieved a speedup of 1.13x, and pre-parallelisation of matrix initialisation improved it to almost 2x using less resources. -TODO: -- strategy to split and continue threads; -- evaluate strong/weak scalability with plot per number of threads \end{document} \ No newline at end of file -- 2.47.3