From d3aa42a3e05bd0d09f2d1f1d5281b4a02be4a0b2 Mon Sep 17 00:00:00 2001 From: Markus Schmidt Date: Tue, 21 Oct 2025 19:36:38 +0200 Subject: [PATCH] Solutions --- sheet1/A/.vscode/settings.json | 5 + sheet1/A/Makefile | 30 ++ sheet1/A/Makefile:Zone.Identifier | 0 sheet1/A/main.GCC_ | Bin 0 -> 86672 bytes sheet1/A/main.cpp | 42 ++ sheet1/A/main.o | Bin 0 -> 107424 bytes sheet1/A/means.cpp | 36 ++ sheet1/A/means.h | 9 + sheet1/A/means.o | Bin 0 -> 77768 bytes sheet1/B/.vscode/settings.json | 7 + sheet1/B/Makefile | 39 ++ sheet1/B/data_1.txt | 500 ++++++++++++++++++++++++ sheet1/B/file_io.cbp | 60 +++ sheet1/B/file_io.cpp | 65 +++ sheet1/B/file_io.h | 40 ++ sheet1/B/file_io.o | Bin 0 -> 280960 bytes sheet1/B/main.GCC_ | Bin 0 -> 242888 bytes sheet1/B/main.cpp | 48 +++ sheet1/B/main.o | Bin 0 -> 224688 bytes sheet1/B/means.cpp | 36 ++ sheet1/B/means.h | 9 + sheet1/B/means.o | Bin 0 -> 78400 bytes sheet1/B/out_1.txt | 6 + sheet1/C/.vscode/settings.json | 6 + sheet1/C/Makefile | 30 ++ sheet1/C/Makefile:Zone.Identifier | 0 sheet1/C/main.GCC_ | Bin 0 -> 127168 bytes sheet1/C/main.cpp | 70 ++++ sheet1/C/main.o | Bin 0 -> 210808 bytes sheet1/C/timing.h | 51 +++ sheet1/C/timing.h:Zone.Identifier | 0 sheet1/CLANG_default.mk | 123 ++++++ sheet1/E/.vscode/settings.json | 58 +++ sheet1/E/Makefile | 30 ++ sheet1/E/Makefile:Zone.Identifier | 0 sheet1/E/main.GCC_ | Bin 0 -> 220832 bytes sheet1/E/main.cpp | 74 ++++ sheet1/E/main.o | Bin 0 -> 384232 bytes sheet1/E/timing.h | 51 +++ sheet1/E/timing.h:Zone.Identifier | 0 sheet1/F/.vscode/settings.json | 5 + sheet1/F/Makefile | 30 ++ sheet1/F/Makefile:Zone.Identifier | 0 sheet1/F/main.GCC_ | Bin 0 -> 302712 bytes sheet1/F/main.cpp | 130 ++++++ sheet1/F/main.o | Bin 0 -> 514736 bytes sheet1/F/mayer_primes.h | 73 ++++ sheet1/F/mayer_primes.h:Zone.Identifier | 3 + sheet1/F/timing.h | 51 +++ sheet1/F/timing.h:Zone.Identifier | 0 sheet1/G/.vscode/settings.json | 6 + sheet1/G/Makefile | 30 ++ sheet1/G/Makefile:Zone.Identifier | 0 sheet1/G/main.GCC_ | Bin 0 -> 162392 bytes sheet1/G/main.cpp | 109 ++++++ sheet1/G/main.o | Bin 0 -> 146336 bytes sheet1/G/mylib.cpp | 109 ++++++ sheet1/G/mylib.h | 36 ++ sheet1/G/mylib.o | Bin 0 -> 175312 bytes sheet1/GCC_AMD32_default.mk | 130 ++++++ sheet1/GCC_default.mk | 183 +++++++++ sheet1/ICC_default.mk | 137 +++++++ sheet1/ONEAPI_default.mk | 176 +++++++++ sheet1/PGI_default.mk | 93 +++++ 64 files changed, 2726 insertions(+) create mode 100644 sheet1/A/.vscode/settings.json create mode 100644 sheet1/A/Makefile create mode 100644 sheet1/A/Makefile:Zone.Identifier create mode 100755 sheet1/A/main.GCC_ create mode 100644 sheet1/A/main.cpp create mode 100644 sheet1/A/main.o create mode 100644 sheet1/A/means.cpp create mode 100644 sheet1/A/means.h create mode 100644 sheet1/A/means.o create mode 100644 sheet1/B/.vscode/settings.json create mode 100644 sheet1/B/Makefile create mode 100644 sheet1/B/data_1.txt create mode 100644 sheet1/B/file_io.cbp create mode 100644 sheet1/B/file_io.cpp create mode 100644 sheet1/B/file_io.h create mode 100644 sheet1/B/file_io.o create mode 100755 sheet1/B/main.GCC_ create mode 100644 sheet1/B/main.cpp create mode 100644 sheet1/B/main.o create mode 100644 sheet1/B/means.cpp create mode 100644 sheet1/B/means.h create mode 100644 sheet1/B/means.o create mode 100644 sheet1/B/out_1.txt create mode 100644 sheet1/C/.vscode/settings.json create mode 100644 sheet1/C/Makefile create mode 100644 sheet1/C/Makefile:Zone.Identifier create mode 100755 sheet1/C/main.GCC_ create mode 100644 sheet1/C/main.cpp create mode 100644 sheet1/C/main.o create mode 100644 sheet1/C/timing.h create mode 100644 sheet1/C/timing.h:Zone.Identifier create mode 100644 sheet1/CLANG_default.mk create mode 100644 sheet1/E/.vscode/settings.json create mode 100644 sheet1/E/Makefile create mode 100644 sheet1/E/Makefile:Zone.Identifier create mode 100755 sheet1/E/main.GCC_ create mode 100644 sheet1/E/main.cpp create mode 100644 sheet1/E/main.o create mode 100644 sheet1/E/timing.h create mode 100644 sheet1/E/timing.h:Zone.Identifier create mode 100644 sheet1/F/.vscode/settings.json create mode 100644 sheet1/F/Makefile create mode 100644 sheet1/F/Makefile:Zone.Identifier create mode 100755 sheet1/F/main.GCC_ create mode 100644 sheet1/F/main.cpp create mode 100644 sheet1/F/main.o create mode 100644 sheet1/F/mayer_primes.h create mode 100644 sheet1/F/mayer_primes.h:Zone.Identifier create mode 100644 sheet1/F/timing.h create mode 100644 sheet1/F/timing.h:Zone.Identifier create mode 100644 sheet1/G/.vscode/settings.json create mode 100644 sheet1/G/Makefile create mode 100644 sheet1/G/Makefile:Zone.Identifier create mode 100755 sheet1/G/main.GCC_ create mode 100644 sheet1/G/main.cpp create mode 100644 sheet1/G/main.o create mode 100644 sheet1/G/mylib.cpp create mode 100644 sheet1/G/mylib.h create mode 100644 sheet1/G/mylib.o create mode 100644 sheet1/GCC_AMD32_default.mk create mode 100644 sheet1/GCC_default.mk create mode 100644 sheet1/ICC_default.mk create mode 100644 sheet1/ONEAPI_default.mk create mode 100644 sheet1/PGI_default.mk diff --git a/sheet1/A/.vscode/settings.json b/sheet1/A/.vscode/settings.json new file mode 100644 index 0000000..a3b2b51 --- /dev/null +++ b/sheet1/A/.vscode/settings.json @@ -0,0 +1,5 @@ +{ + "files.associations": { + "vector": "cpp" + } +} \ No newline at end of file diff --git a/sheet1/A/Makefile b/sheet1/A/Makefile new file mode 100644 index 0000000..f8c4fd6 --- /dev/null +++ b/sheet1/A/Makefile @@ -0,0 +1,30 @@ +# +# use GNU-Compiler tools +COMPILER=GCC_ +# alternatively from the shell +# export COMPILER=GCC_ +# or, alternatively from the shell +# make COMPILER=GCC_ + +# use Intel compilers +#COMPILER=ICC_ + +# use PGI compilers +# COMPILER=PGI_ + + +SOURCES = main.cpp means.cpp +OBJECTS = $(SOURCES:.cpp=.o) + +PROGRAM = main.${COMPILER} + +# uncomment the next to lines for debugging and detailed performance analysis +CXXFLAGS += -g +LINKFLAGS += -g +# do not use -pg with PGI 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+ vector input = {1, 2, 3, 4, 5, 6}; + means_vector(input, ar, ge, ha); + cout << "Arithmetic mean: " << ar + << ", geometric mean: " << ge + << ", harmonic mean: " << ha << endl; + + return 0; +} diff --git a/sheet1/A/main.o b/sheet1/A/main.o new file mode 100644 index 0000000000000000000000000000000000000000..c54977fe1a6ed97db323b901eee42cc00d8b4960 GIT binary patch literal 107424 zcmbR}2S5~8)4NAGVCkR~3t+{9bOb>}1qHiei7n@G9B>ME=iO1%*fnbGy&G#ZwitWV z7&U6_#u7ELmsmbqEQzV+pP9G2cbpiLpJexynb+pcn>TOX>^VH6T`L98bJ8ErrE=Dk zl*@5T=UH>pC_9a7$Ti?n+j5)}$Gc!w4}68;OZxM~h~h#(eF*$ql$cUt{5^~X^4tIj zA~B8;Ys``IOpxUw$GkZ|N2;Kw3)Sl2AAp6TTpT^AXGb8>%hA!tVFN_c;o*G!5P_n8 zZV2Wa>E)%oV@>!wO(sCnB?$0og8g&g{CH;wIVEQGc68F|EgTi2wjC=ujDUQKJ2_YS z2@(I4GMt@)f}lr1kmfEaqg|FN#Duz9j$nxnUXgJeH;N@Xx^#isMzcg`uN+8>XNjI3K2X6l zmgpT&2#|R!(I=<`5=&X4FLh@POT6!je6fioRBqKFv6ChGQQ!8lM2^c4sNf)*BNru2 ziJyWP$oV0ZalQ_(K4wcU=N7{Y6YIg8yQT>^i4Lxl1q+2!#r$c)a)M76_EI=QcuL_+ zK>%iPaGfPIq;R&7N#PtJm%_QiSPJI}izu8gd`jU0;WUK{g`X*0B=|JIdKL@G6fO~Z 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b, int c, double &ar, double &ge, double &ha) { + ar = (a+b+c) / 3.0; + + + ge = pow(a,1.0/3.0) * pow(b,1.0/3.0) * pow(c,1.0/3.0); //do it instead of pow(a*b*c,1.0/3.0) to prevent integer overflow + + ha = 3.0 / (1.0/a +1.0/b +1.0/c); +} + +void means_vector(const vector &input, double &ar, double &ge, double &ha) { + int size = input.size(); + + if (size == 0) { + cout << "Empty input" << endl; + return; + } + + ar = 0; + ge = 1; + ha = 0; + + for (int i = 0; i < size; i++) { + ar += input.at(i); + ge *= pow(input.at(i), 1.0 / size); + ha += 1.0 / input.at(i); + } + + ar /= size; + ha = size / ha; +} \ No newline at end of file diff --git a/sheet1/A/means.h b/sheet1/A/means.h new file mode 100644 index 0000000..5235659 --- /dev/null +++ b/sheet1/A/means.h @@ -0,0 +1,9 @@ +#ifndef MEANS_H_INCLUDED +#define MEANS_H_INCLUDED + +#include + +void means(int a, int b, int c, double &ar, double &ge, double &ha); +void means_vector(const std::vector &input, double &ar, double &ge, double &ha); 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alternatively from the shell +# export COMPILER=GCC_ +# or, alternatively from the shell +# make COMPILER=GCC_ + +# use Intel compilers +#COMPILER=ICC_ + +# use PGI compilers +# COMPILER=PGI_ + +# use CLANG compilers +# COMPILER=CLANG_ + + +SOURCES = main.cpp file_io.cpp means.cpp +OBJECTS = $(SOURCES:.cpp=.o) + +PROGRAM = main.${COMPILER} + +# uncomment the next to lines for debugging and detailed performance analysis +CXXFLAGS += -g +LINKFLAGS += -g +# do not use -pg with PGI compilers + +ifndef COMPILER + COMPILER=GCC_ +endif + +include ../${COMPILER}default.mk + + +task: + @pdflatex task + @pdflatex task + diff --git a/sheet1/B/data_1.txt b/sheet1/B/data_1.txt new file mode 100644 index 0000000..49315c2 --- /dev/null +++ b/sheet1/B/data_1.txt @@ -0,0 +1,500 @@ +141 +261 +87 +430 +258 +298 +425 +120 +496 +707 +244 +786 +75 +394 +4 +221 +2 +190 +143 +269 +175 +139 +599 +902 +940 +222 +483 +377 +524 +265 +69 +437 +174 +27 +955 +431 +962 +763 +8 +681 +706 +646 +553 +219 +773 +229 +371 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+263 +681 +234 +457 +385 +539 +992 +756 +981 +235 +529 +52 +757 +602 +858 +989 +930 +410 +1 +541 +208 +220 +326 +96 +748 +749 +544 +339 +833 +553 +958 +893 +357 +547 +347 +623 +797 +746 +126 +823 +26 +415 +732 +782 +368 diff --git a/sheet1/B/file_io.cbp b/sheet1/B/file_io.cbp new file mode 100644 index 0000000..7ffa582 --- /dev/null +++ b/sheet1/B/file_io.cbp @@ -0,0 +1,60 @@ + + + + + + diff --git a/sheet1/B/file_io.cpp b/sheet1/B/file_io.cpp new file mode 100644 index 0000000..4d78dab --- /dev/null +++ b/sheet1/B/file_io.cpp @@ -0,0 +1,65 @@ +#include "file_io.h" +#include +#include +#include +#include +#include +#include +using namespace std; + +// [Str10, p.364] +void fill_vector(istream& istr, vector& v) +{ + double d=0; + while ( istr >> d) v.push_back(d); // Einlesen + if (!istr.eof()) + { // Fehlerbehandlung + cout << " Error handling \n"; + if ( istr.bad() ) throw runtime_error("Schwerer Fehler in istr"); + if ( istr.fail() ) // Versuch des Aufraeumens + { + cout << " Failed in reading all data.\n"; + istr.clear(); + } + } + v.shrink_to_fit(); // C++11 + return; +} + + +void read_vector_from_file(const string& file_name, vector& v) +{ + ifstream fin(file_name); // Oeffne das File im ASCII-Modus + if( fin.is_open() ) // File gefunden: + { + v.clear(); // Vektor leeren + fill_vector(fin, v); + } + else // File nicht gefunden: + { + cout << "\nFile " << file_name << " has not been found.\n\n" ; + assert( fin.is_open() && "File not found." ); // exeption handling for the poor programmer + } + + return; +} + +void write_vector_to_file(const string& file_name, const vector& v) +{ + ofstream fout(file_name); // Oeffne das File im ASCII-Modus + if( fout.is_open() ) + { + for (unsigned int k=0; k +#include +//using namespace std; + + +/** + This function opens the ASCII-file named @p file_name and reads the + double data into the C++ vector @p v. + If the file @p file_name does not exist then the code stops with an appropriate message. + @param[in] file_name name of the ASCII-file + @param[out] v C++ vector with double values +*/ + +void read_vector_from_file(const std::string& file_name, std::vector& v); + + +/** + This function opens the ASCII-file named @p file_name and rewrites its with the + double data from the C++ vector @p v. + If there are problems in opening/generating file @p file_name + then the code stops with an appropriate message. + @param[in] file_name name of the ASCII-file + @param[in] v C++ vector with double values +*/ + +void write_vector_to_file(const std::string& file_name, const std::vector& v); + +/** + Fills the double-vector @p v with data from an input stream @p istr until this input stream + ends regularily. The vector is cleared and its memory is automatically allocated. + @param[in] istr input stream + @param[out] v C++ vector with double values + @warning An exception is thrown in case of wrong data format or corrupted data. +*/ +void fill_vector(std::istream& istr, std::vector& v); + +#endif // FILE_IO_H_INCLUDED diff --git a/sheet1/B/file_io.o b/sheet1/B/file_io.o new file mode 100644 index 0000000000000000000000000000000000000000..13990e85de411dbd9e028abd33bb5077b2b239d5 GIT binary patch literal 280960 zcmcG%2Vhl2_CJ2-B|IMQCLurq3895vLMQYN0U}ipyFNk^AVP{sKtRR9V#i*wp{Ur_ z-d%fLdt2ACyVhk_*VSFiy1J|WKc92v&b#j=?ymm7zrfr(GoQ~nbEeOocgrzl3+66@*NCW?^W}Q|GDX1=G0~cl*M&m!VwpK&?=uJ_GBZ15+ziin zI4`qfCoT?nkvz&x?KK?CIyXx6}9{-SeHIvQBm@g`*SSPd*{f5_RMcf1A`$L@!=ts2<7 z{j&(1q=5sn4}^jXu-vGH#0|ytrgTPJ=93tjitARt?v1Qz%fkeCq0{3WOh1mA6 z23E#Cgo4MlzG7{qO8P~l2}R$7OzciryQ!(U%JWAV|Ib^{2HH*cS&5nLw)@R;KEuYJ z>Hi@3S$@$m#LxB@$oU+9jhxT*PnPp}{?&3m-+x5T7x?eX`9l92IbY;QkEQ$$zeLU# z`%C3~iC-t@OZ^Mwe3^fToOk-q%K1wF6FKklvyY?vRsJA3U*j*5^L2icoNx3ml=Dsg z19HB_e?!i<`Tvyj?S5}Gxy*KV_*3M3r@z0P@A8}Ee7AqPobU0klk>g)hOOk^=bt9$ z`~4f`{44)CIX~ckBIgJFF25k}A%B#dAMq1%e#}2!&X4<7%J~WZ1vx+Ie3rPnGj?{ta?|-hWiiFZh43=kMhFqTlTV>Uq(hB1MPW} zoL}}YwCB6!{EGj&J^u^mp6z_o`H8dW$ugb)ES_xBIS&oEXS*Vk!@Trt*TdwnuzR*E zHaRTip6&XY92RfSb^}e0iVre5Dn8icP+W!p6Q7!OVjDYf#Aghh4q$|bzxb>UJPiT1 z7;ZUSWC1{n&J$^(wQx-i?U2}~!K0EDiNpr+7%$cXuuJVL1Z0?MCAEuyJplI@Tx9R` z)QG+f_nt#rriQL_8emOec{}>MGavpK)0IPKEE@H^3dY$En5{HL^kgkF#T;~F1Xorc?j2?*!WI+;pexvtr(bKs6tFq=YI8#J9g z@IOTSBnr!cR(eW0SxJm}DWgd{dRioMLy}bfqoli& zq&i2Ewe8nRX2e}2OF1j_yh1G4*8@GOY;$$} zDlhAmq^JtKo{Wf~Cc_EuYl>O9T7mnS;&BK-r_QL_Rk0@~1)wqp|?My|=3<`=|0uL}b?`%5zBEHE#Ci(JOiQ0QQV zZbbCm0c3U&pDdzP1w37gh!+9Bl}b?+YgEN&z`hOe2#eV3$V1MYuAIb8js(^UnLN`A zlh6>j$SdHHYF*RaYc%#T-Pc+V_{fFsVEAp<*Iv0AXNX@&Em8BG?Mf3%u@p#kyNMugx zAUFRo|C2o19P*FOPBw@9Uub#11jVnzMUI1vcQke9pCr?hF`pp*>i{z+kRWxHf11i> zp@(*X6IsI+ZSk`eF99|=1vfWAomOc6okBVlTK54b;dqixN6@_dP1$Dx);^QpoXrMi zV(Y+^#+rY>XrQFI0EbJd;yhY8t-7wt%YWFxcLKTJp(^}@L(OY|-b#a?Ny1+M`o_U( z*^$|Q&qK1R>P6v_VtQi0><6cIDEwLyo(gDo8vJGwJ_Jx@8vKVOd=#ML)8Ib}%wjbc z1G*v&{x}KW2k7B6__HMZCZKoH;I9Ri*7;9B-#b_fVPp0VR*&ZLd*PB|`XXjHoD_mq z`Ou1HFFz_%HYsy}?w!iWkQ(oxGmWTO3&P<62^VJg%P$P!rvf|6;cC(bZ81tNRx&x} z9vmKYWVS*te}LlVHN?L|jD0}uRl;yf_zIxcz7@h)OXv)+*b&&Kt-UjpAoVi|ge4@g zjT#wwC0_c3TD(Z|RlmUL@^ zU1bS#U$9m=X1cMz4H^mX)o1lKwl5UOtFvQG2SL+0) zrI2pyMy0M>znEQdX&M{jx_KOhx1W?a!Nw>!SGsL_FtcM*l-PrF#%(uY$ z*fGvI>ADTfdL>~?6td?|ZY<7rw2w1g_nQm;S5c5Q^E^y3rW4nZy zw}SPgW42nd-9q$tLH%1xx;3_Mh#AlGysmJqH-o_;<`}SMJ7&7E!$QnM!D@2MR*fAU zqHhQF(w20+0?MDFOb(F`fD{_Fh9k<$pBL%K^^m8b@<=|@)6GiSIE1ABB*a(~0~yTh zyw!j5T%Ld7eQcjvd{{9We>*geba{C(%YOZbP*`3U#y z?3vE{5a_bf=eA~MmrDOj30M2^9SpDXyUBUAKT6JP{Bk+h_$%amn7={JYyItVUgzH= z=UV>-IUnwSEayhQ{l(PR?2nN1dVg;@Z}1!CywN{d&YS$5a^B+KDCe#IgL3|b|C*e) z`Jc)8MBiLOeJA+^az53cD(CI~UUELeUxD)^)^5R#=8Z0P8C`Iv$>tP|#R`D;bewp* zGa3UJ<|v4muJGxFZ^6wbn->}}f^s2S@VJr1wu=8PDZU^@+%RY*9yHm!bd$@6f=q3@ zn;n};Yl^CJk`idcc_bYNi>$Hp6{0P-I7qF!&B!8J1NWG0ws;M^YUEPM!*(Zjbe5YL zpO3QF5WNcb^FKkL8>?3+1R{T;7(L!1k+?;We<8vzL>6zR zLi#j|-N?x;+?i8`C>7Wx`7J?s90h(y0nw*fy*f(*Hsep_eU56ffu}pt(%3Ppam>}i z)9Z&#Q1lBblhmcC6xQp93jytNu;g}x*sj+P~AT!d5fyG znXT+2Eh4+ze=Q z8hpIM%=r(bTQ##^ zWb;+FT|__U*y7{Cve(8Ur#klUHSup9TQ1jlu=#sm2}Kw^L-~^ekO8{z&r0CxV-iVX zz2sl(k7`io=}}skdn zmQ@JGAje`whFQ;9)-*5{I~EfQv-)JnC~B&~Xb4!klbIovRHB66QtlKG&I?FJT8@&& zg-ADpaGxVd^HkET5a~4#-f<-9VM>#7F1?Mh$sa6C%fag2U$|iz+3rEB!P{{#eQ6m_kf+J>kN+`ZA zDJ%gFsdXRwdkF3Eu$xAt2a<@3&Zf zAI$!6;ktcXG1)vV1vZIzsMW0+cm7GP)xD-ITwe^ zDdCFG<9=)5zcW4jQR!W9kB~tFRHraH;-@uD?G2zGkdf4pL9DP(8yS-%q3=M*=xa%~ zfQKtCrgsO{hq&ZZamh6dKLW43RqY!=(|N7F=i;zA{7_3&Q*qlD2Z0>9m|~ z4$-SYUGL~__Od1ZK!|w;SUXafmh@tXbO#8JJCgL~P>$aUG5-M8M~*2u)?QE;)tTuB zfbsr8ZbMoIDM6~KF9^dODO4o;g-GQf?BhtG`J_HXssmxGBgv#H=7-Ad*bx0vP=D#@ z>E(7-i1`#)ucR<-x$O#(J^|t1j+9<*kA#?=2Vm(Br;Q-gQodD^%xjZCSmH=BsHf}P zt8H6$I-ws1>gH5>NbxFVN_n3P)>V!vIzxrNCB%FXtT$RRTQtV=Lo%O(-*#Y-H_@J6 zve$>`#h{LCNw>xOSco|vtQD!u^zwLJ=~5n>K|RIM=?h<(9npgY8qvO#ue*3sIJbiM zh!c|pc(C>iQl=#EHduQclL=VTln}`qgzIuRt!c4BnA%PDR;K9>MoGZ3TGob)ngi^h z08f^Fct|@wL|+f;xj#ZrO51cU2?^c=p{H9BOs~MZLNf1z|Mic^*d$&I(L3PsY6x6% z;z(Mg6{L0Yen_Sa`~#hgE5va2zYfuxK|Q?{dU`H$+O=ixk!rsd{0DwS#^$1Li2hqp z|K18cy+I~IGX4Az(1fB8OaI{*0v);GELxbZ$(BLEe}>^ zYe;4{_>Z(ABcl!vR_4-n`S5Fzy$$}~oQz`{8Fl)QR`}Os675Pb*TemIy>}9kzpKc2 zQ1^3m?rLZ=adjv`yTR~}WHJqqImOAj?i;%PRm=XB6xjv(?M}ocU~`-umqsF*o(JoF zGG$pLm-sFPyTmI{y7?z)8AF5YvWZ!JeUu={bO)giNul-6h!8#n*sL^svf`5XA;2n$ zhprLI6z7hUIU3m3H2HlM7rQS7c3Xfai%5%B8)J2d{v4>kb96Vm+KinTV*UfH=&+!m z(u?$>5VIFpBOH?pgmCJ+L(ILvI?yrGQ-3zZYzFIO$8@QO6~7gt?*jGqmUNq~PeRP+ z!TP;prW^aO5c6xW+Tw>IZ7J!-_VSZ$su--Xj@hcQ!$b5Xpsr|1x5my6F*k#Ciesi5 zyHALD6F)1@A62JeRG*MoXrOS(1oixBfQus(FmbYnBJl9l^CSUDqu0!TM@ zV2C*otSOG!s~rGu_yOl=(;g?sEfJ_d8~CVAFx1UYUE? 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+#include +#include +#include +using namespace std; + +int main() +{ + cout << "File einlesen." << endl; + + const string name("data_1.txt"); // name of input file + const string name2("out_1.txt"); // name of output file + vector a; //-2^15 to 2^15-1 fits the values from the file + double min, max, ar, ge, ha, std; + + + read_vector_from_file(name, a); + const unsigned size = a.size(); + + min = *min_element(a.begin(), a.end()); + max = *max_element(a.begin(), a.end()); + + + + means_vector(a, ar, ge, ha); + + std = 0; + for(unsigned int i = 0; i < size; i++) + { + std += pow(a.at(i)-ar,2); + } + std = sqrt(std/size); + + cout << "min: " << min << ", max: " << max << endl; + cout << "Arithmetic mean: " << ar + << ", geometric mean: " << ge + << ", harmonic mean: " << ha << endl; + cout << "std: " << std << endl; + + vector results = {min, max, ar, ge, ha, std}; + write_vector_to_file(name2, results); + + + return 0; +} diff --git a/sheet1/B/main.o b/sheet1/B/main.o new file mode 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z23?G;UHI%8$-zkG_i4?JOJPmavN7d9hnm}&ag<|4yWsVgKIf0FHl@qYc zLw}?2SSE$+Wrjc#ft4VW!7L5GDh0)1Q7Tj*Rrglj3^+R=`1$Ogep^ zO0VDRypi#(>3i+H0UzGZvZZDdc9BA?{;5o+UxoMZh-T-U;mo6 znfyol7y8q0T|US_{wuG448D!{>Ga=L>Gk`p3ZOa?>~wm)El$CYlIZjksv!NIrSd}* z{ws(7QTYDaQ~x`OVSzvW?vqZT>#xhv?~@4sl_&kDRC@jXzDiH^r>f}sD{pZ(J_x2d zzq2HVf_Xq*g^ZtS-J+T1F(?0}1ilXy(_ElX1`n^S!uhZ*on|{BqEd4ENlcnD}-el=NRF*!k((CuSbCmzFvh-)w zrb@p*srsY5eC_^=vh;fYtlvuJMMtj~KaZ>Qy8lJHimKmb_1E4imiRJ0D2kK5Lxre! zLPu2Z^8Wif_4mSPL>eSW$RonF5eA+a~T*rMXDlW#rFbq+e6b}vI>@^i}HB10Cb^m!do zz1z#&D^&R^x)Z9?uW@|j2i2AS^!o~xUi!Mv?JC1tTrd98>9qG%lcaxGrGML7bWHg! zPrq}L^cz1b<1Z%U^8A&jziyKB2mVGT+6Y#Y_pdyCOrSnXk*3FKEP4f#vDR z?aVzY4!!>MTQcS@wXj?QKXA#M@uTsYmdmmt;3Gue-^=trb`~b~uBa +#include "timing.h" + +using namespace std; + + +unsigned long multiplesOf3Or5(unsigned int n) +{ + unsigned long sum = 0; + for(unsigned int i=1; i<=n; i++) + { + if(i % 3 == 0 || i % 5 == 0) + { + sum += i; + } + } + return sum; +} + +unsigned long gauss_sum(unsigned long n) +{ + return n*(n+1)/2; +} + +unsigned long multiplesOf3Or5_noLoop(unsigned int n) +{ + /*for n there are floor(n/3) multiples of 3 and floor(n/5) multiples of 5. Calculate them using Gauss summation and subtract the + multiples of 15 (counted twice)*/ + unsigned long multiples3 = gauss_sum(n/3)*3; + unsigned long multiples5 = gauss_sum(n/5)*5; + unsigned long multiples15 = gauss_sum(n/15)*15; + + return multiples3 + multiples5 - multiples15; + +} + + +int main() { + + unsigned long mA,mB,mC,mD,mE,mF; + + tic(); + for(unsigned int i = 0; i< 10000; i++) + { + mA = multiplesOf3Or5(15); + mB = multiplesOf3Or5(1001); + mC = multiplesOf3Or5(1432987); + } + double timeA = toc(); + + tic(); + for(unsigned int i = 0; i< 10000; i++) + { + mD = multiplesOf3Or5_noLoop(15); + mE = multiplesOf3Or5_noLoop(1001); + mF = multiplesOf3Or5_noLoop(1432987); + } + double timeB = toc(); + + cout << "n = 15, result = " << mA << endl; + cout << "n = 1001, result = " << mB << endl; + cout << "n = 1432987, result = " << mC << endl; + cout << "time: " << timeA << endl; + cout << "--------------------------------------------------------------" 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z^mmWge!8FXsjpGi2mF0U{!Ztl%IEL{@#ONpQ12I5euDb&v!LzY*hv}>CjgcYR|9uJij6E{+&xv`J=uq(HFS= z96#kNm!|S}pa86D_V_7Zv@Df>{So_r-B0?B;Qc?t<+n*eUSj#@ z{FHyKGHqXezmKHB@}2yYUywxQ|9HgpJH=1=xg)52f7!5~`cLyy{tlOyzXvI4u>Om= zyqdq}dvzI0+xN`x^S-3KELY`jKW~`E&E@l // timing +#include + +//using Clock = std::chrono::system_clock; //!< The wall clock timer chosen +using Clock = std::chrono::high_resolution_clock; +using TPoint= std::chrono::time_point; + +// [Galowicz, C++17 STL Cookbook, p. 29] + +std::stack MyStopWatch; //!< starting time of stopwatch + +/** Starts stopwatch timer. + * Use as @code tic(); myfunction(...) ; double tsec = toc(); @endcode + * + * The timining can be nested and the recent time point is stored on top of the stack. + * + * @return recent time point + * @see toc + */ +auto tic() +{ + MyStopWatch.push(Clock::now()); + return MyStopWatch.top(); +} + +/** Returns the elapsed time from stopwatch. + * + * The time point from top of the stack is used + * if time point @p t_b is not passed as input parameter. + * Use as @code tic(); myfunction(...) ; double tsec = toc(); @endcode + * or as @code auto t_b = tic(); myfunction(...) ; double tsec = toc(t_b); @endcode + * The last option is to be used in the case of + * non-nested but overlapping time measurements. + * + * @param[in] t_b start time of some stop watch + * @return elapsed time in seconds. + * +*/ +double toc(TPoint const &t_b = MyStopWatch.top()) +{ + // https://en.cppreference.com/w/cpp/chrono/treat_as_floating_point + using Unit = std::chrono::seconds; + using FpSeconds = std::chrono::duration; + auto t_e = Clock::now(); + MyStopWatch.pop(); + return FpSeconds(t_e-t_b).count(); +} diff --git a/sheet1/C/timing.h:Zone.Identifier b/sheet1/C/timing.h:Zone.Identifier new file mode 100644 index 0000000..e69de29 diff --git a/sheet1/CLANG_default.mk b/sheet1/CLANG_default.mk new file mode 100644 index 0000000..4bc290d --- /dev/null +++ b/sheet1/CLANG_default.mk @@ -0,0 +1,123 @@ +# Basic Defintions for using GNU-compiler suite sequentially +# requires setting of COMPILER=CLANG_ + +#CLANGPATH=//usr/lib/llvm-10/bin/ +CC = ${CLANGPATH}clang +CXX = ${CLANGPATH}clang++ +#CXX = ${CLANGPATH}clang++ -lomptarget -fopenmp-targets=nvptx64-nvidia-cuda --cuda-path=/opt/pgi/linux86-64/2017/cuda/8.0 +#F77 = gfortran +LINKER = ${CXX} + +#http://clang.llvm.org/docs/UsersManual.html#options-to-control-error-and-warning-messages +WARNINGS += -Weverything -Wno-c++98-compat -Wno-sign-conversion -Wno-date-time -Wno-shorten-64-to-32 -Wno-padded -ferror-limit=1 +WARNINGS += -Wdocumentation -Wconversion -Wshadow -Wfloat-conversion -pedantic +#-fsyntax-only -Wdocumentation -Wconversion -Wshadow -Wfloat-conversion -pedantic + +CXXFLAGS += -O3 -std=c++17 -ferror-limit=1 ${WARNINGS} +# don't use -Ofast +# -ftrapv +LINKFLAGS += -O3 + +# different libraries in Ubuntu or manajaró +ifndef UBUNTU +UBUNTU=1 +endif + +# BLAS, LAPACK +LINKFLAGS += -llapack -lblas +# -lopenblas +ifeq ($(UBUNTU),1) +# ubuntu +else +# on archlinux +LINKFLAGS += -lcblas +endif + +# interprocedural optimization +CXXFLAGS += -flto +LINKFLAGS += -flto + +# very good check +# http://clang.llvm.org/extra/clang-tidy/ +# good check, see: http://llvm.org/docs/CodingStandards.html#include-style +SWITCH_OFF=,-readability-magic-numbers,-readability-redundant-control-flow,-readability-redundant-member-init +SWITCH_OFF+=,-readability-redundant-member-init,-readability-isolate-declaration +#READABILITY=,readability*${SWITCH_OFF} +#TIDYFLAGS = -checks=llvm-*,-llvm-header-guard -header-filter=.* -enable-check-profile -extra-arg="-std=c++17" -extra-arg="-fopenmp" +TIDYFLAGS = -checks=llvm-*,-llvm-header-guard${READABILITY} -header-filter=.* -enable-check-profile -extra-arg="-std=c++17" -extra-arg="-fopenmp" +#TIDYFLAGS += -checks='modernize* +# ??? +#TIDYFLAGS = -checks='cert*' -header-filter=.* +# MPI checks ?? +#TIDYFLAGS = -checks='mpi*' +# ?? +#TIDYFLAGS = -checks='performance*' -header-filter=.* +#TIDYFLAGS = -checks='portability-*' -header-filter=.* +#TIDYFLAGS = -checks='readability-*' -header-filter=.* + +default: ${PROGRAM} + +${PROGRAM}: ${OBJECTS} + $(LINKER) $^ ${LINKFLAGS} -o $@ + +clean: + @rm -f ${PROGRAM} ${OBJECTS} + +clean_all:: clean + @rm -f *_ *~ *.bak *.log *.out *.tar + +codecheck: tidy_check +tidy_check: + clang-tidy ${SOURCES} ${TIDYFLAGS} -- ${SOURCES} +# see also http://clang-developers.42468.n3.nabble.com/Error-while-trying-to-load-a-compilation-database-td4049722.html + +run: clean ${PROGRAM} +# time ./${PROGRAM} ${PARAMS} + ./${PROGRAM} ${PARAMS} + +# tar the current directory +MY_DIR = `basename ${PWD}` +tar: clean_all + @echo "Tar the directory: " ${MY_DIR} + @cd .. ;\ + tar cf ${MY_DIR}.tar ${MY_DIR} *default.mk ;\ + cd ${MY_DIR} +# tar cf `basename ${PWD}`.tar * + +doc: + doxygen Doxyfile + +######################################################################### + +.cpp.o: + $(CXX) -c $(CXXFLAGS) -o $@ $< + +.c.o: + $(CC) -c $(CFLAGS) -o $@ $< + +.f.o: + $(F77) -c $(FFLAGS) -o $@ $< + +################################################################################################## +# some tools +# Cache behaviour (CXXFLAGS += -g tracks down to source lines; no -pg in linkflags) +cache: ${PROGRAM} + valgrind --tool=callgrind --simulate-cache=yes ./$^ ${PARAMS} +# kcachegrind callgrind.out. & + kcachegrind `ls -1tr callgrind.out.* |tail -1` + +# Check for wrong memory accesses, memory leaks, ... +# use smaller data sets +mem: ${PROGRAM} + valgrind -v --leak-check=yes --tool=memcheck --undef-value-errors=yes --track-origins=yes --log-file=$^.addr.out --show-reachable=yes ./$^ ${PARAMS} + +# Simple run time profiling of your code +# CXXFLAGS += -g -pg +# LINKFLAGS += -pg +prof: ${PROGRAM} + perf record ./$^ ${PARAMS} + perf report +# gprof -b ./$^ > gp.out +# kprof -f gp.out -p gprof & + +codecheck: tidy_check diff --git a/sheet1/E/.vscode/settings.json b/sheet1/E/.vscode/settings.json new file mode 100644 index 0000000..d1429ba --- /dev/null +++ b/sheet1/E/.vscode/settings.json @@ -0,0 +1,58 @@ +{ + "files.associations": { + "array": "cpp", + "atomic": "cpp", + "bit": "cpp", + "cctype": "cpp", + "charconv": "cpp", + "chrono": "cpp", + "clocale": "cpp", + "cmath": "cpp", + "compare": "cpp", + "concepts": "cpp", + "cstdarg": "cpp", + "cstddef": "cpp", + "cstdint": "cpp", + "cstdio": "cpp", + "cstdlib": "cpp", + "ctime": "cpp", + "cwchar": "cpp", + "cwctype": "cpp", + "deque": "cpp", + "list": "cpp", + "string": "cpp", + "unordered_map": "cpp", + "vector": "cpp", + "exception": "cpp", + "algorithm": "cpp", + "functional": "cpp", + "iterator": "cpp", + "memory": "cpp", + "memory_resource": "cpp", + "numeric": "cpp", + "optional": "cpp", + "random": "cpp", + "ratio": "cpp", + "string_view": "cpp", + "system_error": "cpp", + "tuple": "cpp", + "type_traits": "cpp", + "utility": "cpp", + "format": "cpp", + "initializer_list": "cpp", + "iomanip": "cpp", + "iosfwd": "cpp", + "iostream": "cpp", + "istream": "cpp", + "limits": "cpp", + "new": "cpp", + "numbers": "cpp", + "ostream": "cpp", + "span": "cpp", + "sstream": "cpp", + "stdexcept": "cpp", + "streambuf": "cpp", + "typeinfo": "cpp", + "variant": "cpp" + } +} \ No newline at end of file diff --git a/sheet1/E/Makefile b/sheet1/E/Makefile new file mode 100644 index 0000000..6506518 --- /dev/null +++ b/sheet1/E/Makefile @@ -0,0 +1,30 @@ +# +# use GNU-Compiler tools +COMPILER=GCC_ +# alternatively from the shell +# export COMPILER=GCC_ +# or, alternatively from the shell +# make COMPILER=GCC_ + +# use Intel compilers +#COMPILER=ICC_ + +# use PGI compilers +# COMPILER=PGI_ + + +SOURCES = main.cpp +OBJECTS = $(SOURCES:.cpp=.o) + +PROGRAM = main.${COMPILER} + +# uncomment the next to lines for debugging and detailed performance analysis +CXXFLAGS += -g +LINKFLAGS += -g +# do not use -pg with PGI compilers + +ifndef COMPILER + COMPILER=GCC_ +endif + +include ../${COMPILER}default.mk diff --git a/sheet1/E/Makefile:Zone.Identifier 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+#include +#include +#include +#include +#include "timing.h" +#include +using namespace std; +std::default_random_engine generator; + + +unsigned int randomInt(unsigned int n) +{ + + std::uniform_int_distribution distribution(1,n); + return distribution(generator); + +} + +void insertVector(vector& vec) +{ + unsigned int n = vec.size(); + unsigned int random; + + for(unsigned int i = 0; i::iterator it = lower_bound(vec.begin(), vec.end(), random); + vec.insert(it, random); + } + +} +void insertList(list& l) +{ + unsigned int n = l.size(); + unsigned int random; + + for(unsigned int i = 0; i::iterator it = lower_bound(l.begin(), l.end(), random); + l.insert(it, random); + } + +} + + + +int main() +{ + unsigned int n = 10000; + vector vec = {}; + list l = {}; + for(unsigned int i=1; i<=n; i++) + { + vec.push_back(i); + l.push_back(i); + } + tic(); + insertVector(vec); + double vecTime = toc(); + + tic(); + insertList(l); + double listTime = toc(); + + cout << is_sorted(vec.begin(), vec.end())<< endl; + cout << is_sorted(l.begin(), l.end())<< endl; + + cout << "vector time: " << vecTime << endl; + cout << "list time: " << listTime << endl; + + return 0; +} diff --git a/sheet1/E/main.o b/sheet1/E/main.o new file mode 100644 index 0000000000000000000000000000000000000000..1db24005d00b1f3c5e99fbd2a4112e5613f6e9a8 GIT binary patch literal 384232 zcmcG%2Y6Lg_C9>}$<0mR+?neu z2%=(FKt&xDELc#iV;RLZ>ged$W<*E7_g!nBawE>n^LxI3p6s*tUhlisUb~!q_Nn*m zAqNk2jdA=xxi93bd#0v7h3NyvI*HGq++KY%`H2utRTA4UvCr;7jCYC#U z?gA%HJt;kw$yx5FbK{wPWX9o#fbrahEs$;kq4QQ=$Nbw}TXJ6KNXdC!>zsBD>M1_u zb(2h5GuK}ol4+%xUXtmcnckA=u9-fP>93jok{Pa<0g@T5nSqiyLNkL) z%ngn+RWn12Bq}~=(bctpTEjaZm$62bGQTZOM zEz`_l1&xqdu9=!-OBlFZGe_2M3FJD>Olnw#%sR~+CGKp}%;Y*8ANOcxO5LW&Y}3qC z@$FBVIXb@!4D8S@$Z6&_hJ4E93-du@q@h*~hqj$H&w|TEgyxIFn;=8;i z7*?@5_jo-dzR#(olE_vy>Svh<1LW*S?^+r zpYt|Lyvut*;^)0DC4Rw6oJYMEy%rL`c-J8?Iy`VM-p8MADReA&EvN#kw@D)5N6M*iGv+Gby%m(>e#56q~nc zomM8L>a9&m)!Ud9)vq)T{_^rUolL1oHDIo87gNf7ykoANAB@*Gu^AbeIJ^PvCStEC 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tic(); myfunction(...) ; double tsec = toc(); @endcode + * + * The timining can be nested and the recent time point is stored on top of the stack. + * + * @return recent time point + * @see toc + */ + auto tic() +{ + MyStopWatch.push(Clock::now()); + return MyStopWatch.top(); +} + +/** Returns the elapsed time from stopwatch. + * + * The time point from top of the stack is used + * if time point @p t_b is not passed as input parameter. + * Use as @code tic(); myfunction(...) ; double tsec = toc(); @endcode + * or as @code auto t_b = tic(); myfunction(...) ; double tsec = toc(t_b); @endcode + * The last option is to be used in the case of + * non-nested but overlapping time measurements. + * + * @param[in] t_b start time of some stop watch + * @return elapsed time in seconds. + * +*/ + double toc(TPoint const &t_b = MyStopWatch.top()) +{ + // https://en.cppreference.com/w/cpp/chrono/treat_as_floating_point + using Unit = std::chrono::seconds; + using FpSeconds = std::chrono::duration; + auto t_e = Clock::now(); + MyStopWatch.pop(); + return FpSeconds(t_e-t_b).count(); +} diff --git a/sheet1/E/timing.h:Zone.Identifier b/sheet1/E/timing.h:Zone.Identifier new file mode 100644 index 0000000..e69de29 diff --git a/sheet1/F/.vscode/settings.json b/sheet1/F/.vscode/settings.json new file mode 100644 index 0000000..e2c18d1 --- /dev/null +++ b/sheet1/F/.vscode/settings.json @@ -0,0 +1,5 @@ +{ + "files.associations": { + "ostream": "cpp" + } +} \ No newline at end of file diff --git a/sheet1/F/Makefile b/sheet1/F/Makefile new file mode 100644 index 0000000..6506518 --- /dev/null +++ b/sheet1/F/Makefile @@ -0,0 +1,30 @@ +# +# use GNU-Compiler tools +COMPILER=GCC_ +# alternatively from the shell +# export COMPILER=GCC_ +# or, alternatively from the shell +# make COMPILER=GCC_ + +# use Intel compilers +#COMPILER=ICC_ + +# use PGI compilers +# COMPILER=PGI_ + + +SOURCES = main.cpp +OBJECTS = $(SOURCES:.cpp=.o) + +PROGRAM = main.${COMPILER} + +# uncomment the next to lines for debugging and detailed performance analysis +CXXFLAGS += -g +LINKFLAGS += -g +# do not use -pg with PGI compilers + +ifndef COMPILER + COMPILER=GCC_ +endif + +include ../${COMPILER}default.mk diff --git a/sheet1/F/Makefile:Zone.Identifier b/sheet1/F/Makefile:Zone.Identifier new file mode 100644 index 0000000..e69de29 diff --git a/sheet1/F/main.GCC_ b/sheet1/F/main.GCC_ new file mode 100755 index 0000000000000000000000000000000000000000..8c5ad2cf887b21e728e5e31c24ab2ab28b6bba8c GIT binary patch literal 302712 zcmeFacYIXU7RP(`$;_l@LJ7SD2wj1I2vJdj1SS#?DT*ir3_(EJO+vBI3_-^+h#jw} z*u7TN>lHh_s8_*uv7?Aij3`*Kk@sEuoPA~p^4|Nr&-=VT-p7;AI%loDe{1dD&zvkN zC>mlbWtl6%I^7bfS69bnpzE>lCZEe$)Y`zxmWKM8N7tG9QcHe=O)-sd=5=4rw^2R%2dUBv(S z!xZx=IQIJ;$K8J%JL8TMAK-r(|HR|q&pr|BDKY^eVA`f=neCb`wu%eK3@@Hi zT2^}T^zw?*vN6NYoH=K9>6pnE&BVC){k6~d(G|UW6&F`bE1R>RcxLJBiz}uTmzI^y zDH}Pg#3~*?V)UH6;^D>9XP1|jRTR!FC>S+*&KLq4KV{~~`Li^j;^Y#PXV2+Vd~WaD 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z+3vXAcW5-Y!1MOvMk@k}7=;)dqyb4ttL;(w3yS*=^K>3;vJ2>Nazi2V-U7fkZ zvQuz1W)AN>u?~=<3v05V}0lV7l*sylCi|+mX*s0nB$RIKyBV zf#kYpiiXave6C@7=d6aA-CgL>@^c;1lv!=IS5A7#zm49c@sr6ry1X+zC56aF+rtH)Ymz za8h#uT_xK(r*#=TJ7r3DZnjCaw{^mj;zCRfN@UcGpYCdH$9>f*?CzYd(!EF7U!OuN z6=;qF(>(mE!F&e&3>>7A_OF=_F@zC7@Q7pO_t5eN>UB+qU9TgxNii-YKSRqKxSh|+ zn3)eSR?Hg$9<8hOJc#3bKTt_w{5N(CoR9o3 z9r^K882k*Z*A-4~kt@c3;-MeSds0k|zR7rmr=NjF-q<(tru@GEFUjvmLijBx55k#R zG0D@afw25lpplD4znwqO^9Xt+4mi{=T>n>q?8?_`IRn?|@*8t?B5xZH}kp%zN6nKh3%X4y&-us-(;Y!4#UoMWfMRi((wk(j^9rklzig0poB>o*j_~b zw2i7pcg8%n`!jL|o~-3v9>Q;VUCHlsMli?78R|Jj +#include "mayer_primes.h" +#include +#include +#include "timing.h" +using namespace std; + +unsigned int single_goldbach(unsigned int k) +{ + unsigned int decomp = 0; + unsigned int p,q; + vector primes = get_primes(k); + for(unsigned i=0; i< primes.size(); i++) + { + p = primes.at(i); + if(p > k/2) + { + break; + } + + q = k-p; + vector::iterator it = lower_bound(primes.begin(), primes.end(), q); + if (it != primes.end() && *it == q) + { + decomp++; + } + + } + + return decomp; +} + +//one can call single_goldbach but this way it is faster cause you dont have to regenerate primes and search in list +vector count_goldbach(unsigned int n) +{ + vector counts(n+1,0); + unsigned int p,q; + vector primes = get_primes(n); + for(unsigned int j=0; j n) + { + continue; + } + counts[p+q] += 1; + + } + } + return counts; +} + +vector>> count_goldbach_all(unsigned int n) +{ + vector>> counts(n+1,{{0,0}}); + unsigned int p,q; + vector primes = get_primes(n); + for(unsigned int j=0; j n) + { + continue; + } + if (counts[p+q].at(0).at(0) == 0) //first pair found + { + counts[p+q]={{p,q}}; + } + else{ + counts[p+q].push_back({p,q}); + } + + } + } + return counts; +} + +int main() +{ + + //2 + cout << single_goldbach(694) << endl; + + //3 + vector counts = count_goldbach(100000); + cout << (max_element(counts.begin(), counts.end()) - counts.begin()) << endl; + + //4 + vector nvalues = {10000, 100000, 400000, 1000000, 2000000, 10000000}; + double time; + unsigned int n; + for(unsigned int i = 0; i< nvalues.size(); i++) + { + n = nvalues.at(i); + tic(); + count_goldbach(n); + time = toc(); + cout << "Time for n=" << n << ": " << time << endl; + } + /*Time for n=10000: 0.0006853 + Time for n=100000: 0.0371858 + Time for n=400000: 0.505129 + Time for n=1000000: 2.85873 + Time for n=2000000: 15.0026 + Time for n=10000000: 549.658*/ + + + //*) + unsigned int n2 = 694; + vector>> counts2 = count_goldbach_all(n2); + for(unsigned int i=4; iFlorian Mayer. + * + * \param[in] max end of interval for the prime number search. + * \return vector of prime numbers @f$2,3,5, ..., p<=max @f$. + * + * \copyright + * Copyright (c) 2008 Florian Mayer (adapted by Gundolf Haase 2018) + * + * Permission is hereby granted, free of charge, to any person obtaining a copy + * of this software and associated documentation files (the "Software"), to deal + * in the Software without restriction, including without limitation the rights + * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell + * copies of the Software, and to permit persons to whom the Software is + * furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be included in + * all copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, + * INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE + * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, + * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. + * + */ +template +std::vector get_primes(T max) +{ + std::vector primes; + char *sieve; + sieve = new char[max / 8 + 1]; + // Fill sieve with 1 + memset(sieve, 0xFF, (max / 8 + 1) * sizeof(char)); + for (T x = 2; x <= max; x++) + { + if (sieve[x / 8] & (0x01 << (x % 8))) { + primes.push_back(x); + // Is prime. Mark multiplicates. + for (T j = 2 * x; j <= max; j += x) + { + sieve[j / 8] &= ~(0x01 << (j % 8)); + } + } + } + delete[] sieve; + return primes; +} + +//--------------------------------------------------------------- +//int main() // by Florian Mayer +//{g++ -O3 -std=c++14 -fopenmp main.cpp && ./a.out +// vector primes; +// primes = get_primes(10000000); +// // return 0; +// // Print out result. +// vector::iterator it; +// for(it=primes.begin(); it < primes.end(); it++) +// cout << *it << " "; +// +// cout << endl; +// return 0; +//} diff --git a/sheet1/F/mayer_primes.h:Zone.Identifier b/sheet1/F/mayer_primes.h:Zone.Identifier new file mode 100644 index 0000000..b9647de --- /dev/null +++ b/sheet1/F/mayer_primes.h:Zone.Identifier @@ -0,0 +1,3 @@ +[ZoneTransfer] +ZoneId=3 +HostUrl=https://imsc.uni-graz.at/haasegu/Lectures/Math2CPP/Examples/goldbach/mayer_primes.h diff --git a/sheet1/F/timing.h b/sheet1/F/timing.h new file mode 100644 index 0000000..1c79e9d --- /dev/null +++ b/sheet1/F/timing.h @@ -0,0 +1,51 @@ +// +// Gundolf Haase, Oct 18 2024 +// +#pragma once +#include // timing +#include + +//using Clock = std::chrono::system_clock; //!< The wall clock timer chosen +using Clock = std::chrono::high_resolution_clock; +using TPoint= std::chrono::time_point; + +// [Galowicz, C++17 STL Cookbook, p. 29] + +std::stack MyStopWatch; //!< starting time of stopwatch + +/** Starts stopwatch timer. + * Use as @code tic(); myfunction(...) ; double tsec = toc(); @endcode + * + * The timining can be nested and the recent time point is stored on top of the stack. + * + * @return recent time point + * @see toc + */ + auto tic() +{ + MyStopWatch.push(Clock::now()); + return MyStopWatch.top(); +} + +/** Returns the elapsed time from stopwatch. + * + * The time point from top of the stack is used + * if time point @p t_b is not passed as input parameter. + * Use as @code tic(); myfunction(...) ; double tsec = toc(); @endcode + * or as @code auto t_b = tic(); myfunction(...) ; double tsec = toc(t_b); @endcode + * The last option is to be used in the case of + * non-nested but overlapping time measurements. + * + * @param[in] t_b start time of some stop watch + * @return elapsed time in seconds. + * +*/ + double toc(TPoint const &t_b = MyStopWatch.top()) +{ + // https://en.cppreference.com/w/cpp/chrono/treat_as_floating_point + using Unit = std::chrono::seconds; + using FpSeconds = std::chrono::duration; + auto t_e = Clock::now(); + MyStopWatch.pop(); + return FpSeconds(t_e-t_b).count(); +} diff --git a/sheet1/F/timing.h:Zone.Identifier b/sheet1/F/timing.h:Zone.Identifier new file mode 100644 index 0000000..e69de29 diff --git a/sheet1/G/.vscode/settings.json b/sheet1/G/.vscode/settings.json new file mode 100644 index 0000000..77853c5 --- /dev/null +++ b/sheet1/G/.vscode/settings.json @@ -0,0 +1,6 @@ +{ + "files.associations": { + "vector": "cpp", + "ostream": "cpp" + } +} \ No newline at end of file diff --git a/sheet1/G/Makefile b/sheet1/G/Makefile new file mode 100644 index 0000000..f5bc097 --- /dev/null +++ b/sheet1/G/Makefile @@ -0,0 +1,30 @@ +# +# use GNU-Compiler tools +COMPILER=GCC_ +# alternatively from the shell +# export COMPILER=GCC_ +# or, alternatively from the shell +# make COMPILER=GCC_ + +# use Intel compilers +#COMPILER=ICC_ + +# use PGI compilers +# COMPILER=PGI_ + + +SOURCES = main.cpp mylib.cpp +OBJECTS = $(SOURCES:.cpp=.o) + +PROGRAM = main.${COMPILER} + +# uncomment the next to lines for debugging and detailed performance analysis +CXXFLAGS += -g +LINKFLAGS += -g +# do not use -pg with PGI compilers + +ifndef COMPILER + COMPILER=GCC_ +endif + +include ../${COMPILER}default.mk diff --git a/sheet1/G/Makefile:Zone.Identifier b/sheet1/G/Makefile:Zone.Identifier new file mode 100644 index 0000000..e69de29 diff --git a/sheet1/G/main.GCC_ b/sheet1/G/main.GCC_ new file mode 100755 index 0000000000000000000000000000000000000000..8da8f6a989d75d526b381c9fa6e6833dfdd52c15 GIT binary patch literal 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u{{1,2,3}}; + vector f1 = M.Mult(u); + vector const v{{-1,2,-3,4,-5}}; + vector f2 = M.MultT(v); + + for(unsigned int i = 0; i < f1.size(); i++) + { + cout << f1.at(i) << " "; + } + cout << endl; + for(unsigned int i = 0; i < f2.size(); i++) + { + cout << f2.at(i) << " "; + } + cout << endl; + + + //c) + int n=5000; + DenseMatrix const A(n,n); + vector w = {}; + for(int i = -n/2; i < n/2; i++) + { + w.push_back(i); + } + + + int const NLOOPS=100; + + double t1 = clock(); // start timer + vector f3 = A.Mult(w); + for (int k=1; k f4 = A.MultT(w); + for (int k=1; k maxDiff) { + maxDiff = diff; + } + } + cout << "difference f3 and f4: " << maxDiff << endl; + + + //d) + cout << "-----------------DYADIC------------------" < x = {}; + for(int k=0; k < n; k++) + { + x.push_back(f(k, n)); + } + Dyadic const D(x,x); + + double t3 = clock(); // start timer + vector f5 = D.Mult(w); + for (int k=1; k f6 = D.MultT(w); + for (int k=1; k maxDiff2) { + maxDiff2 = diff; + } + } + cout << "difference f5 and f6: " << maxDiff2 << endl; + + + + return 0; +} diff --git a/sheet1/G/main.o b/sheet1/G/main.o new file mode 100644 index 0000000000000000000000000000000000000000..1ca55734cac33cbb036bce36ea34472fa997ac72 GIT binary patch literal 146336 zcmbqc2YeL8_usuF+>s@XB#_XO(0eK&KfXC(TLJsaO$K53XL`4umX^Mb? zSV0j%MQL`y-m!}f3yQs9`T4{8|Gqc7dwZ9Q=IGS#;^vNeK!j^|q)+O#!EGH(G`G%&p-#d!owMRL1R zRA^2`^AnLP?TzQ4g<_|a95Xv!kQif+pA4M5Lj0&y$IOkdrmRv!*8KQ-$|6*064ek} zkT8J4xW)1t$SmaeTA8Qm5Hgt7i$Fq4>vW&A0ugyefBg9IBXuKe8a6{Lj`FBo$w4u* zh3FqOBQb|krU7yX7t-bvKoGs1+A=iGEpBf`3^JKeTkL5`0awQ@>OWfl%xha+2<*0m zX1_N<*w9 zb)tmjTr&j^qM0LjOy$5-o z)L8?YW`iuLI~BEzX-7TeYAo{^mC)p|_?b%hc0gr{srcjCd5|N@j%`OnAj;Np+4HIF za{R2*%Ti3muV~k(<6p%1JOlfH@i^gAzh#QaFN6pjokg4~`m&7+odCvDhP-db)SN~wf$!!65^);U@- zZ$$-Sf?F$uIO0HoeX&hxld~l`7#3YG`HN-8c}IA zGClzK%W#w$g0;MlYmk4_U}BCX^99J@Gg)xB~8O^-;tCR>Q;xhN>br<-_Q!{@UvMnlY} z=y7O1g|y31rnmY9GJvIFhB7Ph2NXb+lBAp;{|n-3!paGYfXv}Uat}tcbE_MGdMzH) 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zcYqrm^!k=o!u4;+sV_QBYS4IcIXB&YtaZlwN!e~jOGIraIbq&~f`L=6U8X_2MO+#CUx-UyjD8NCR-q1BW&$~MA@ za_SF*8%P4wAS$xT<bHj*XSM%mzaz7#g3k1&cCz3G8@)e7&*AnR<hG4bep9vM z`ls~_*OiG@Li +#include +using namespace std; + +double f(unsigned int k, unsigned int nm) { + + return 1.0 / (1.0 + exp(-(10.0*k/(nm-1)-5))); +} + +DenseMatrix::DenseMatrix(unsigned int n, unsigned int m): n_(n), m_(m), data_(n*m) +{ + unsigned int nm = max(n,m); + for(unsigned int rowIt = 0; rowIt < n_; rowIt++) + { + for(unsigned int colIt=0; colIt DenseMatrix::Mult(const vector &u) const{ + if(u.size() != m_) + { + cout << "Dimension mismatch: expected " << m_ << " but got " << u.size() << "!" << endl; + return {}; + } + vector f1 = {}; + double sum; + for(unsigned int rowIt = 0; rowIt < n_; rowIt++) + { + sum = 0; + for(unsigned int colIt=0; colIt DenseMatrix::MultT(const vector &v) const{ + if(v.size() != n_) + { + cout << "Dimension mismatch: expected " << n_ << " but got " << v.size() << "!" << endl; + return {}; + } + vector f2 = {}; + double sum; + for(unsigned int colIt = 0; colIt < m_; colIt++) + { + sum = 0; + for(unsigned int rowIt=0; rowIt & u, vector& v):u_(u), v_(v){ + +} + +vector Dyadic::Mult(const vector &w) const{ + unsigned int m = v_.size(); + if(w.size() != m) + { + cout << "Dimension mismatch!" << endl; + return {}; + } + vector f1 = {}; + double skalar = 0; + for(unsigned int vIt = 0; vIt < m; vIt++) + { + skalar += v_.at(vIt)*w.at(vIt); + } + for(unsigned int uIt=0; uIt < u_.size(); uIt++) + { + f1.push_back(u_.at(uIt)*skalar); + } + + return f1; +} + +vector Dyadic::MultT(const vector &w) const{ + unsigned int n = u_.size(); + if(w.size() != n) + { + cout << "Dimension mismatch!" << endl; + return {}; + } + vector f1 = {}; + double skalar = 0; + for(unsigned int uIt = 0; uIt < n; uIt++) + { + skalar += u_.at(uIt)*w.at(uIt); + } + for(unsigned int vIt=0; vIt < v_.size(); vIt++) + { + f1.push_back(v_.at(vIt)*skalar); + } + + return f1; +} \ No newline at end of file diff --git a/sheet1/G/mylib.h b/sheet1/G/mylib.h new file mode 100644 index 0000000..5357490 --- /dev/null +++ b/sheet1/G/mylib.h @@ -0,0 +1,36 @@ +#ifndef MYLIB_H_INCLUDED +#define MYLIB_H_INCLUDED + +#include +using namespace std; + +double f(unsigned int k, unsigned int nm); + +class DenseMatrix{ + + public: + DenseMatrix(unsigned int n, unsigned int m); + + vector Mult(const vector &u) const; + vector MultT(const vector &v) const; + + + private: + unsigned int n_,m_; + vector data_; +}; + +class Dyadic{ + public: + Dyadic(vector& u, vector& v); + + vector Mult(const vector &u) const; + vector MultT(const vector &v) const; + + + private: + vector u_; + vector v_; +}; + +#endif // MYLIB_H_INCLUDED diff --git a/sheet1/G/mylib.o b/sheet1/G/mylib.o new file mode 100644 index 0000000000000000000000000000000000000000..dbce3aa4be80e85652431fa8c39077bfa8f334b0 GIT binary patch literal 175312 zcmcG%2Vhjy@;`p>CLtScvLqpp5LzPA6Cj1qLY1Hq5F~&~aoKD(B#`FrCIoCKV#nS) 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z=cu;4sZmVVsK1Kl7iQCqrn_0cr4hE!ZwS#p%=)pRW(OGG4$)uz7CmuqQyaz&2kH-m z=!+L?J^!=Mx(C!B3DG~r`dw|F-!azH`m^a+xgl# zUm!gV0Rukfj7_Xx0S>6UG#$zxYL&q#>*rK~jxPF9O(A-Df1vOS-hBueYx(^{_Wu=A Z2j;KVw=hN5?7sbZoz<% Header muss mit extern "C" versehen werden, damit g++ alles findet. + + +#WARNINGS = -pedantic -pedantic-errors -Wall -Wextra -Werror -Wconversion -Weffc++ -Woverloaded-virtual -Wfloat-equal -Wshadow +WARNINGS = -pedantic -Wall -Wextra -Wconversion -Weffc++ -Woverloaded-virtual -Wfloat-equal -Wshadow \ + -Wredundant-decls -Winline -fmax-errors=1 +# -Wunreachable-code +# -Wunreachable-code +CXXFLAGS += -ffast-math -O3 -march=native -std=c++17 ${WARNINGS} +#CXXFLAGS += -Ofast -funroll-all-loops -std=c++17 ${WARNINGS} +#-msse3 +# -ftree-vectorizer-verbose=2 -DNDEBUG +# -ftree-vectorizer-verbose=5 +# -ftree-vectorize -fdump-tree-vect-blocks=foo.dump -fdump-tree-pre=stderr + +# CFLAGS = -ffast-math -O3 -DNDEBUG -msse3 -fopenmp -fdump-tree-vect-details +# CFLAGS = -ffast-math -O3 -funroll-loops -DNDEBUG -msse3 -fopenmp -ftree-vectorizer-verbose=2 +# #CFLAGS = -ffast-math -O3 -DNDEBUG -msse3 -fopenmp +# FFLAGS = -ffast-math -O3 -DNDEBUG -msse3 -fopenmp +# LFLAGS = -ffast-math -O3 -DNDEBUG -msse3 -fopenmp +LINKFLAGS += -O3 + +# BLAS, LAPACK +OPENBLAS_DIR = /opt/openblas_GCCseq +#OPENBLAS_DIR = /opt/openblas_GCC +OPENBLAS_LIBDIR = ${OPENBLAS_DIR}/lib +OPENBLAS_INCDIR = ${OPENBLAS_DIR}/include +CXXFLAGS += -I${OPENBLAS_INCDIR} +LINKFLAGS += -L${OPENBLAS_LIBDIR} -lopenblas + +# interprocedural optimization +CXXFLAGS += -flto +LINKFLAGS += -flto + +# profiling tools +#CXXFLAGS += -pg +#LINKFLAGS += -pg + +default: ${PROGRAM} + +${PROGRAM}: ${OBJECTS} + $(LINKER) $^ ${LINKFLAGS} -o $@ + +clean: + @rm -f ${PROGRAM} ${OBJECTS} + +clean_all:: clean + -@rm -f *_ *~ *.bak *.log *.out *.tar *.orig + -@rm -r html + +run: clean ${PROGRAM} +# time ./${PROGRAM} +# ./${PROGRAM} + ( export LD_LIBRARY_PATH=${OPENBLAS_LIBDIR}:${LD_LIBRARY_PATH} ; ./${PROGRAM} ) +# or 'export LD_LIBRARY_PATH=/opt/openblas_gcc/lib:${LD_LIBRARY_PATH}' in your ~/.bashrc + +# tar the current directory +MY_DIR = `basename ${PWD}` +tar: + @echo "Tar the directory: " ${MY_DIR} + @cd .. ;\ + tar cf ${MY_DIR}.tar ${MY_DIR} *default.mk ;\ + cd ${MY_DIR} +# tar cf `basename ${PWD}`.tar * + +doc: + doxygen Doxyfile + +######################################################################### + +.cpp.o: + $(CXX) -c $(CXXFLAGS) -o $@ $< + +.c.o: + $(CC) -c $(CFLAGS) -o $@ $< + +.f.o: + $(F77) -c $(FFLAGS) -o $@ $< + +################################################################################################## +# some tools +# Cache behaviour (CXXFLAGS += -g tracks down to source lines; no -pg in linkflags) +cache: ${PROGRAM} + valgrind --tool=callgrind --simulate-cache=yes ./$^ +# kcachegrind callgrind.out. & + kcachegrind `ls -1tr callgrind.out.* |tail -1` + +# Check for wrong memory accesses, memory leaks, ... +# use smaller data sets +# no "-pg" in compile/link options +mem: ${PROGRAM} + valgrind -v --leak-check=yes --tool=memcheck --undef-value-errors=yes --track-origins=yes --log-file=$^.addr.out --show-reachable=yes ./$^ + +# Simple run time profiling of your code +# CXXFLAGS += -g -pg +# LINKFLAGS += -pg +prof: ${PROGRAM} + ./$^ + gprof -b ./$^ > gp.out +# kprof -f gp.out -p gprof & + +#Trace your heap: +#> heaptrack ./main.GCC_ +#> heaptrack_gui heaptrack.main.GCC_..gz +heap: ${PROGRAM} + heaptrack ./$^ 11 + heaptrack_gui `ls -1tr heaptrack.$^.* |tail -1` & + + + +######################################################################## +# get the detailed status of all optimization flags +info: + echo "detailed status of all optimization flags" + $(CXX) --version + $(CXX) -Q $(CXXFLAGS) --help=optimizers diff --git a/sheet1/GCC_default.mk b/sheet1/GCC_default.mk new file mode 100644 index 0000000..803c060 --- /dev/null +++ b/sheet1/GCC_default.mk @@ -0,0 +1,183 @@ +# Basic Defintions for using GNU-compiler suite sequentially +# requires setting of COMPILER=GCC_ + +CC = gcc +CXX = g++ +F77 = gfortran +LINKER = ${CXX} + +WARNINGS = -Wall -pedantic -Wextra -Weffc++ -Woverloaded-virtual -Wfloat-equal -Wshadow \ + -Wredundant-decls -Winline -fmax-errors=1 +# -Wunreachable-code +CXXFLAGS += -ffast-math -O3 -march=native -std=c++17 ${WARNINGS} +#CXXFLAGS += -Ofast -funroll-all-loops -std=c++17 ${WARNINGS} +#-msse3 +# -ftree-vectorizer-verbose=2 -DNDEBUG +# -ftree-vectorizer-verbose=5 +# -ftree-vectorize -fdump-tree-vect-blocks=foo.dump -fdump-tree-pre=stderr + +# CFLAGS = -ffast-math -O3 -DNDEBUG -msse3 -fopenmp -fdump-tree-vect-details +# CFLAGS = -ffast-math -O3 -funroll-loops -DNDEBUG -msse3 -fopenmp -ftree-vectorizer-verbose=2 +# #CFLAGS = -ffast-math -O3 -DNDEBUG -msse3 -fopenmp +# FFLAGS = -ffast-math -O3 -DNDEBUG -msse3 -fopenmp +# LFLAGS = -ffast-math -O3 -DNDEBUG -msse3 -fopenmp +LINKFLAGS += -O3 + +#architecture +#CPU = -march=znver2 +CXXFLAGS += ${CPU} +LINKFLAGS += ${CPU} + +# different libraries in Ubuntu or manajaró +ifndef UBUNTU +UBUNTU=1 +endif + +# BLAS, LAPACK +ifeq ($(UBUNTU),1) +LINKFLAGS += -llapack -lblas +# -lopenblas +else +# on archlinux +LINKFLAGS += -llapack -lopenblas -lcblas +endif + +# interprocedural optimization +CXXFLAGS += -flto +LINKFLAGS += -flto + +# for debugging purpose (save code) +# -fsanitize=leak # only one out the three can be used +# -fsanitize=address +# -fsanitize=thread +SANITARY = -fsanitize=address -fsanitize=undefined -fsanitize=null -fsanitize=return \ + -fsanitize=bounds -fsanitize=alignment -fsanitize=float-divide-by-zero -fsanitize=float-cast-overflow \ + -fsanitize=bool -fsanitize=enum -fsanitize=vptr +#CXXFLAGS += ${SANITARY} +#LINKFLAGS += ${SANITARY} + +# profiling tools +#CXXFLAGS += -pg +#LINKFLAGS += -pg + + +default: ${PROGRAM} + +${PROGRAM}: ${OBJECTS} + $(LINKER) $^ ${LINKFLAGS} -o $@ + +clean: + @rm -f ${PROGRAM} ${OBJECTS} + +clean_all:: clean + -@rm -f *_ *~ *.bak *.log *.out *.tar *.orig *.optrpt + -@rm -rf html + +run: clean ${PROGRAM} +#run: ${PROGRAM} +# time ./${PROGRAM} ${PARAMS} + ./${PROGRAM} ${PARAMS} + +# tar the current directory +MY_DIR = `basename ${PWD}` +tar: clean_all + @echo "Tar the directory: " ${MY_DIR} + @cd .. ;\ + tar cf ${MY_DIR}.tar ${MY_DIR} *default.mk ;\ + cd ${MY_DIR} +# tar cf `basename ${PWD}`.tar * +#find . -size +10M > large_files +#--exclude-from ${MY_DIR}/large_files + +zip: clean + @echo "Zip the directory: " ${MY_DIR} + @cd .. ;\ + zip -r ${MY_DIR}.zip ${MY_DIR} *default.mk ;\ + cd ${MY_DIR} + +doc: + doxygen Doxyfile + +######################################################################### +.SUFFIXES: .f90 + +.cpp.o: + $(CXX) -c $(CXXFLAGS) -o $@ $< +# $(CXX) -c $(CXXFLAGS) -o $@ $< 2>&1 | tee -a $<.log +# $(CXX) -c $(CXXFLAGS) -o $@ $< 2>&1 | tee -a $(<:.cpp=.log) + +.c.o: + $(CC) -c $(CFLAGS) -o $@ $< + +.f.o: + $(F77) -c $(FFLAGS) -o $@ $< + +.f90.o: + $(F77) -c $(FFLAGS) -o $@ $< + +################################################################################################## +# some tools +# Cache behaviour (CXXFLAGS += -g tracks down to source lines; no -pg in linkflags) +cache: ${PROGRAM} + valgrind --tool=callgrind --simulate-cache=yes ./$^ ${PARAMS} +# kcachegrind callgrind.out. & + kcachegrind `ls -1tr callgrind.out.* |tail -1` + +# Check for wrong memory accesses, memory leaks, ... +# use smaller data sets +# no "-pg" in compile/link options +mem: ${PROGRAM} + valgrind -v --leak-check=yes --tool=memcheck --undef-value-errors=yes --track-origins=yes --log-file=$^.addr.out --show-reachable=yes ./$^ ${PARAMS} +# Graphical interface +# valkyrie + +# Simple run time profiling of your code +# CXXFLAGS += -g -pg +# LINKFLAGS += -pg +prof: ${PROGRAM} + perf record ./$^ ${PARAMS} + perf report +# gprof -b ./$^ > gp.out +# kprof -f gp.out -p gprof & + +# perf in Ubuntu 20.04: https://www.howtoforge.com/how-to-install-perf-performance-analysis-tool-on-ubuntu-20-04/ +# * install +# * sudo vi /etc/sysctl.conf +# add kernel.perf_event_paranoid = 0 + +#Trace your heap: +#> heaptrack ./main.GCC_ +#> heaptrack_gui heaptrack.main.GCC_..gz +heap: ${PROGRAM} + heaptrack ./$^ ${PARAMS} + heaptrack_gui `ls -1tr heaptrack.$^.* |tail -1` & + +codecheck: $(SOURCES) + cppcheck --enable=all --inconclusive --std=c++17 --suppress=missingIncludeSystem $^ + + +######################################################################## +# get the detailed status of all optimization flags +info: + echo "detailed status of all optimization flags" + $(CXX) --version + $(CXX) -Q $(CXXFLAGS) --help=optimizers + lscpu + inxi -C + lstopo + +# Excellent hardware info +# hardinfo +# Life monitoring of CPU frequency etc. +# sudo i7z + +# Memory consumption +# vmstat -at -SM 3 +# xfce4-taskmanager + + +# https://www.tecmint.com/check-linux-cpu-information/ +#https://www.tecmint.com/monitor-cpu-and-gpu-temperature-in-ubuntu/ + +# Debugging: +# https://wiki.archlinux.org/index.php/Debugging diff --git a/sheet1/ICC_default.mk b/sheet1/ICC_default.mk new file mode 100644 index 0000000..d4bd4db --- /dev/null +++ b/sheet1/ICC_default.mk @@ -0,0 +1,137 @@ +# Basic Defintions for using INTEL compiler suite sequentially +# requires setting of COMPILER=ICC_ + +#BINDIR = /opt/intel/bin/ + +# special on my sony [GH] +#BINDIR = /opt/save.intel/bin/ +# very special on my sony [GH] +# FIND_LIBS = -L /opt/save.intel/composer_xe_2013.1.117/mkl/lib/intel64/libmkl_intel_lp64.so + +# Error with g++-4.8 using icpc14.0,x: +# find directory wherein bits/c++config.h is located +# 'locate bits/c++config.h' +#FOUND_CONFIG = -I/usr/include/x86_64-linux-gnu/c++/4.8 + + +CC = ${BINDIR}icc +CXX = ${BINDIR}icpc +F77 = ${BINDIR}ifort +LINKER = ${CXX} + + +WARNINGS = -Wall -Weffc++ -Woverloaded-virtual -Wfloat-equal -Wshadow -wd2015,2012 -wn3 +# -Winline -Wredundant-decls -Wunreachable-code +CXXFLAGS += -O3 -fargument-noalias -std=c++17 -DNDEBUG ${WARNINGS} -mkl ${FOUND_CONFIG} +# profiling tools +#CXXFLAGS += -pg +#LINKFLAGS += -pg +# -vec-report=3 +# -qopt-report=5 -qopt-report-phase=vec +# -guide -parallel +# -guide-opts=string -guide-par[=n] -guide-vec[=n] +# -auto-p32 -simd +CXXFLAGS += -align + +# use MKL by INTEL +# https://software.intel.com/content/www/us/en/develop/documentation/mkl-linux-developer-guide/top/linking-your-application-with-the-intel-math-kernel-library/linking-quick-start/using-the-mkl-compiler-option.html +# https://software.intel.com/content/www/us/en/develop/articles/intel-mkl-link-line-advisor.html +# LINKFLAGS += -L${BINDIR}../composer_xe_2013.1.117/mkl/lib/intel64 -lmkl_intel_lp64 -lmkl_sequential -lmkl_core -lpthread +#LINKFLAGS += -O3 -L/opt/intel/mkl/lib -mkl +LINKFLAGS += -O3 -mkl=sequential + +# interprocedural optimization +CXXFLAGS += -ipo +LINKFLAGS += -ipo + +# annotated assembler file +ANNOTED = -fsource-asm -S + +default: ${PROGRAM} + +${PROGRAM}: ${OBJECTS} + $(LINKER) $^ ${LINKFLAGS} -o $@ + +clean: + rm -f ${PROGRAM} ${OBJECTS} + +clean_all:: clean + @rm -f *_ *~ *.bak *.log *.out *.tar + +run: clean ${PROGRAM} + ./${PROGRAM} + +# tar the current directory +MY_DIR = `basename ${PWD}` +tar: clean_all + @echo "Tar the directory: " ${MY_DIR} + @cd .. ;\ + tar cf ${MY_DIR}.tar ${MY_DIR} *default.mk ;\ + cd ${MY_DIR} +# tar cf `basename ${PWD}`.tar * + +doc: + doxygen Doxyfile + +######################################################################### + +.cpp.o: + $(CXX) -c $(CXXFLAGS) -o $@ $< + +.c.o: + $(CC) -c $(CFLAGS) -o $@ $< + +.f.o: + $(F77) -c $(FFLAGS) -o $@ $< + +################################################################################################## +# # some tools +# # Cache behaviour (CXXFLAGS += -g tracks down to source lines) +# cache: ${PROGRAM} +# valgrind --tool=callgrind --simulate-cache=yes ./$^ +# # kcachegrind callgrind.out. & +# +# # Check for wrong memory accesses, memory leaks, ... +# # use smaller data sets +# mem: ${PROGRAM} +# valgrind -v --leak-check=yes --tool=memcheck --undef-value-errors=yes --track-origins=yes --log-file=$^.addr.out --show-reachable=yes ./$^ +# +# # Simple run time profiling of your code +# # CXXFLAGS += -g -pg +# # LINKFLAGS += -pg +# prof: ${PROGRAM} +# ./$^ +# gprof -b ./$^ > gp.out +# # kprof -f gp.out -p gprof & +# + + +mem: inspector +prof: amplifier +cache: amplifier + +gap_par_report: + ${CXX} -c -guide -parallel $(SOURCES) 2> gap.txt + +# GUI for performance report +amplifier: ${PROGRAM} + echo 0 | sudo tee /proc/sys/kernel/yama/ptrace_scope +# alternatively to the solution above: + #edit file /etc/sysctl.d/10-ptrace.conf and set variable kernel.yama.ptrace_scope variable to 0 . + amplxe-gui & + +# GUI for Memory and Thread analyzer (race condition) +inspector: ${PROGRAM} + echo 0 | sudo tee /proc/sys/kernel/yama/ptrace_scope + inspxe-gui & + +advisor: + echo 0 | sudo tee /proc/sys/kernel/yama/ptrace_scope + advixe-gui & + +icc-info: + icpc -# main.cpp + + + + diff --git a/sheet1/ONEAPI_default.mk b/sheet1/ONEAPI_default.mk new file mode 100644 index 0000000..fe7b3fe --- /dev/null +++ b/sheet1/ONEAPI_default.mk @@ -0,0 +1,176 @@ +# Basic Defintions for using INTEL compiler suite sequentially +# requires setting of COMPILER=ONEAPI_ + +# https://software.intel.com/content/www/us/en/develop/tools/oneapi/components/onemkl/link-line-advisor.html +# requires +# source /opt/intel/oneapi/setvars.sh +# on AMD: export MKL_DEBUG_CPU_TYPE=5 + +#BINDIR = /opt/intel/oneapi/compiler/latest/linux/bin/ +#MKL_ROOT = /opt/intel/oneapi/mkl/latest/ +#export KMP_AFFINITY=verbose,compact + +CC = ${BINDIR}icc +CXX = ${BINDIR}dpcpp +F77 = ${BINDIR}ifort +LINKER = ${CXX} + +## Compiler flags +WARNINGS = -Wall -Weffc++ -Woverloaded-virtual -Wfloat-equal -Wshadow -pedantic +WARNINGS += -Wpessimizing-move -Wredundant-move +#-wd2015,2012,2014 -wn3 +# -Winline -Wredundant-decls -Wunreachable-code +# -qopt-subscript-in-range +# -vec-threshold0 + +CXXFLAGS += -O3 -std=c++17 ${WARNINGS} +#CXXFLAGS += -DMKL_ILP64 -I"${MKLROOT}/include" +#CXXFLAGS += -DMKL_ILP32 -I"${MKLROOT}/include" +LINKFLAGS += -O3 + +# interprocedural optimization +CXXFLAGS += -ipo +LINKFLAGS += -ipo +LINKFLAGS += -flto + +# annotated Assembler file +ANNOTED = -fsource-asm -S + +#architecture +CPU = -march=core-avx2 +#CPU += -mtp=zen +# -xCORE-AVX2 +# -axcode COMMON-AVX512 -axcode MIC-AVX512 -axcode CORE-AVX512 -axcode CORE-AVX2 +CXXFLAGS += ${CPU} +LINKFLAGS += ${CPU} + +# use MKL by INTEL +# https://software.intel.com/content/www/us/en/develop/tools/oneapi/components/onemkl/link-line-advisor.html +# sequential MKL +# use the 32 bit interface (LP64) instead of 64 bit interface (ILP64) +CXXFLAGS += -qmkl=sequential -UMKL_ILP64 +LINKFLAGS += -O3 -qmkl=sequential -lmkl_intel_lp64 -lmkl_sequential -lmkl_core -lpthread +#LINKFLAGS += -O3 -lmkl_intel_lp64 -lmkl_sequential -lmkl_core -lpthread + +# shared libs: https://aur.archlinux.org/packages/intel-oneapi-compiler-static +# install intel-oneapi-compiler-static +# or +LINKFLAGS += -shared-intel + + +OPENMP = -qopenmp +CXXFLAGS += ${OPENMP} +LINKFLAGS += ${OPENMP} + + +# profiling tools +#CXXFLAGS += -pg +#LINKFLAGS += -pg +# -vec-report=3 +# -qopt-report=5 -qopt-report-phase=vec -qopt-report-phase=openmp +# -guide -parallel +# -guide-opts=string -guide-par[=n] -guide-vec[=n] +# -auto-p32 -simd + +# Reports: https://software.intel.com/en-us/articles/getting-the-most-out-of-your-intel-compiler-with-the-new-optimization-reports +#CXXFLAGS += -qopt-report=5 -qopt-report-phase=vec,par +#CXXFLAGS += -qopt-report=5 -qopt-report-phase=cg +# Redirect report from *.optrpt to stderr +# -qopt-report-file=stderr +# Guided paralellization +# -guide -parallel +# -guide-opts=string -guide-par[=n] -guide-vec[=n] +# -auto-p32 -simd + +## run time checks +# https://www.intel.com/content/www/us/en/develop/documentation/fortran-compiler-oneapi-dev-guide-and-reference/top/compiler-reference/compiler-options/offload-openmp-and-parallel-processing-options/par-runtime-control-qpar-runtime-control.html + + +default: ${PROGRAM} + +${PROGRAM}: ${OBJECTS} + $(LINKER) $^ ${LINKFLAGS} -o $@ + +clean: + rm -f ${PROGRAM} ${OBJECTS} *.optrpt + +clean_all:: clean + @rm -f *_ *~ *.bak *.log *.out *.tar + +run: clean ${PROGRAM} + ./${PROGRAM} + +# tar the current directory +MY_DIR = `basename ${PWD}` +tar: clean_all + @echo "Tar the directory: " ${MY_DIR} + @cd .. ;\ + tar cf ${MY_DIR}.tar ${MY_DIR} *default.mk ;\ + cd ${MY_DIR} +# tar cf `basename ${PWD}`.tar * + +doc: + doxygen Doxyfile + +######################################################################### + +.cpp.o: + $(CXX) -c $(CXXFLAGS) -o $@ $< + +.c.o: + $(CC) -c $(CFLAGS) -o $@ $< + +.f.o: + $(F77) -c $(FFLAGS) -o $@ $< + +################################################################################################## +# some tools +# Cache behaviour (CXXFLAGS += -g tracks down to source lines) +# https://software.intel.com/content/www/us/en/develop/documentation/vtune-help/top/analyze-performance/microarchitecture-analysis-group/memory-access-analysis.html + +mem: inspector +prof: vtune +cache: inspector + +gap_par_report: + ${CXX} -c -guide -parallel $(SOURCES) 2> gap.txt + +# GUI for performance report +amplifier: ${PROGRAM} + echo 0 | sudo tee /proc/sys/kernel/yama/ptrace_scope + echo 0 | sudo tee /proc/sys/kernel/perf_event_paranoid + amplxe-gui & + +# GUI for Memory and Thread analyzer (race condition) +inspector: ${PROGRAM} + echo 0 | sudo tee /proc/sys/kernel/yama/ptrace_scope +# inspxe-gui & + vtune-gui ./${PROGRAM} & + +advisor: + source /opt/intel/oneapi/advisor/2021.2.0/advixe-vars.sh +# /opt/intel/oneapi/advisor/latest/bin64/advixe-gui & + advisor --collect=survey ./${PROGRAM} +# advisor --collect=roofline ./${PROGRAM} + advisor --report=survey --project-dir=./ src:r=./ --format=csv --report-output=./out/survey.csv + +vtune: + echo 0 | sudo tee /proc/sys/kernel/yama/ptrace_scope +# https://software.intel.com/en-us/articles/intel-advisor-2017-update-1-what-s-new + export ADVIXE_EXPERIMENTAL=roofline + vtune -collect hotspots ./${PROGRAM} + vtune -report hotspots -r r000hs > vtune.out +# vtune-gui ./${PROGRAM} & + +icc-info: + icpc -# main.cpp + +# MKL on AMD +# https://www.computerbase.de/2019-11/mkl-workaround-erhoeht-leistung-auf-amd-ryzen/ +# +# https://sites.google.com/a/uci.edu/mingru-yang/programming/mkl-has-bad-performance-on-an-amd-cpu +# export MKL_DEBUG_CPU_TYPE=5 +# export MKL_NUM_THRAEDS=1 +# export MKL_DYNAMIC=false +# on Intel compiler +# http://publicclu2.blogspot.com/2013/05/intel-complier-suite-reference-card.html diff --git a/sheet1/PGI_default.mk b/sheet1/PGI_default.mk new file mode 100644 index 0000000..40760e5 --- /dev/null +++ b/sheet1/PGI_default.mk @@ -0,0 +1,93 @@ +# Basic Defintions for using PGI-compiler suite sequentially +# requires setting of COMPILER=PGI_ +# OPTIRUN = optirun + + +CC = pgcc +CXX = pgc++ +F77 = pgfortran +LINKER = ${CXX} + +# on mephisto: +#CXXFLAGS += -I/share/apps/atlas/include +#LINKFLAGS += -L/share/apps/atlas/lib +#LINKFLAGS += -lcblas -latlas + +#LINKFLAGS += -lblas +# Der Header muss mit extern "C" versehen werden, damit g++ alles findet. + +WARNINGS = -Minform=warn +# -Wall -pedantic -Wextra -Weffc++ -Woverloaded-virtual -W -Wfloat-equal -Wshadow -Wredundant-decls +# -pedantic -Wunreachable-code -Wextra -Winline +# -Wunreachable-code + +#PGI_PROFILING = -Minfo=ccff,loop,vect,opt,intensity,mp,accel +PGI_PROFILING = -Minfo=ccff,accel,ipa,loop,lre,mp,opt,par,unified,vect,intensity +# -Minfo +# -Mprof=time +# -Mprof=lines +# take care with option -Msafeptr +CXXFLAGS += -O3 -std=c++17 ${WARNINGS} +#CXXFLAGS += -O3 -std=c++11 -DNDEBUG ${PGI_PROFILING} ${WARNINGS} +# -fastsse -fargument-noalias ${WARNINGS} -msse3 -vec-report=3 + +default: ${PROGRAM} + +${PROGRAM}: ${OBJECTS} + $(LINKER) $^ ${LINKFLAGS} -o $@ + +clean: + @rm -f ${PROGRAM} ${OBJECTS} + +clean_all:: clean + @rm -f *_ *~ *.bak *.log *.out *.tar + +run: clean ${PROGRAM} + ./${PROGRAM} + +# tar the current directory +MY_DIR = `basename ${PWD}` +tar: clean_all + @echo "Tar the directory: " ${MY_DIR} + @cd .. ;\ + tar cf ${MY_DIR}.tar ${MY_DIR} *default.mk ;\ + cd ${MY_DIR} +# tar cf `basename ${PWD}`.tar * + +doc: + doxygen Doxyfile + +######################################################################### + +.cpp.o: + $(CXX) -c $(CXXFLAGS) -o $@ $< + +.c.o: + $(CC) -c $(CFLAGS) -o $@ $< + +.f.o: + $(F77) -c $(FFLAGS) -o $@ $< + +################################################################################################## +# # some tools +# # Simple run time profiling of your code +# # CXXFLAGS += -g -pg +# # LINKFLAGS += -pg + + +# Profiling options PGI, see: pgcollect -help +# CPU_PROF = -allcache +CPU_PROF = -time +# GPU_PROF = -cuda=gmem,branch,cc13 -cudainit +#GPU_PROF = -cuda=branch:cc20 +# +PROF_FILE = pgprof.out + +cache: prof + +prof: ${PROGRAM} + ${OPTIRUN} ${BINDIR}pgcollect $(CPU_PROF) ./$^ + ${OPTIRUN} ${BINDIR}pgprof -exe ./$^ $(PROF_FILE) & + +info: + pgaccelinfo -v