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CMU CS 15213 - Introduction to Computer Systems

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Introduction to Computer SystemsIntroduction to Computer SystemsTopics:Topics:ThemeFive great realities of computer systemsHow this fits within CS curriculumStaff, text, and policiesLecture topics and assignmentsLab rationaleCS 213 F ’02class01a.ppt15-213“The Class That Gives CMU Its Zip!”Seth Goldstein & Bruce MaggsJanuary 14, 2003–2–15-213, S’03Course ThemeCourse ThemeAbstraction is good, but don’t forget reality!Courses to date emphasize abstractionCourses to date emphasize abstractionAbstract data typesAsymptotic analysisThese abstractions have limitsThese abstractions have limitsEspecially in the presence of bugsNeed to understand underlying implementationsUseful outcomesUseful outcomesBecome more effective programmerszAble to find and eliminate bugs efficientlyzAble to tune program performancePrepare for later “systems” classes in CS & ECEzCompilers, Operating Systems, Networks, Computer Architecture, Embedded Systems–3–15-213, S’03Great Reality #1Great Reality #1Int’sInt’sare not Integers, Float’s are not are not Integers, Float’s are not RealsRealsExamplesExamplesIs x2≥ 0?zFloat’s: Yes!zInt’s:» 40000 * 40000 --> 1600000000» 50000 * 50000 --> ??Is (x + y) + z = x + (y + z)?zUnsigned & Signed Int’s: Yes!zFloat’s:» (1e20 + -1e20) + 3.14 --> 3.14» 1e20 + (-1e20 + 3.14) --> ??–4–15-213, S’03Computer ArithmeticComputer ArithmeticDoes not generate random valuesDoes not generate random valuesArithmetic operations have important mathematical propertiesCannot assume “usual” propertiesCannot assume “usual” propertiesDue to finiteness of representationsInteger operations satisfy “ring” propertieszCommutativity, associativity, distributivityFloating point operations satisfy “ordering” propertieszMonotonicity, values of signsObservationObservationNeed to understand which abstractions apply in which contextsImportant issues for compiler writers and serious application programmers–5–15-213, S’03Great Reality #2Great Reality #2You’ve got to know assemblyYou’ve got to know assemblyChances are, you’ll never write program in assemblyChances are, you’ll never write program in assemblyCompilers are much better & more patient than you areUnderstanding assembly key to machineUnderstanding assembly key to machine--level level execution modelexecution modelBehavior of programs in presence of bugszHigh-level language model breaks downTuning program performancezUnderstanding sources of program inefficiencyImplementing system softwarezCompiler has machine code as targetzOperating systems must manage process state–6–15-213, S’03Assembly Code ExampleAssembly Code ExampleTime Stamp CounterTime Stamp CounterSpecial 64-bit register in Intel-compatible machinesIncremented every clock cycleRead with rdtsc instructionApplicationApplicationMeasure time required by procedurezIn units of clock cyclesdouble t;start_counter();P();t = get_counter();printf("P required %f clock cycles\n", t);–7–15-213, S’03Code to Read CounterCode to Read CounterWrite small amount of assembly code using GCC’s asmfacilityInserts assembly code into machine code generated by compilerstatic unsigned cyc_hi = 0;static unsigned cyc_lo = 0;/* Set *hi and *lo to the high and low order bitsof the cycle counter. */void access_counter(unsigned *hi, unsigned *lo){asm("rdtsc; movl %%edx,%0; movl %%eax,%1": "=r" (*hi), "=r" (*lo) :: "%edx", "%eax");}–8–15-213, S’03Code to Read CounterCode to Read Counter/* Record the current value of the cycle counter. */void start_counter(){access_counter(&cyc_hi, &cyc_lo);}/* Number of cycles since the last call to start_counter. */double get_counter(){unsigned ncyc_hi, ncyc_lo;unsigned hi, lo, borrow;/* Get cycle counter */access_counter(&ncyc_hi, &ncyc_lo);/* Do double precision subtraction */lo = ncyc_lo - cyc_lo;borrow = lo > ncyc_lo;hi = ncyc_hi - cyc_hi - borrow;return (double) hi * (1 << 30) * 4 + lo;}–9–15-213, S’03Measuring TimeMeasuring TimeTrickier than it Might LookTrickier than it Might LookMany sources of variationExampleExampleSum integers from 1 to nn Cycles Cycles/n100 961 9.611,000 8,407 8.411,000 8,426 8.4310,000 82,861 8.2910,000 82,876 8.291,000,000 8,419,907 8.421,000,000 8,425,181 8.431,000,000,000 8,371,2305,591 8.37–10–15-213, S’03main(int argc, char** argv){...for (i=0; i<t; i++) {start_counter();count(n);times[i] = get_counter();}...}int count(int n){int i;int sum = 0;for (i=0; i<n; i++) {sum += i;}return sum;}Timing System PerformanceTiming System Performanceint count(int n){int i;int sum = 0;for (i=0; i<n; i++) {sum += i;}return sum;}main(int argc, char** argv){...for (i=0; i<t; i++) {start_counter();count(n);times[i] = get_counter();}...}–11–15-213, S’03Timing System PerformanceTiming System Performanceint count(int n){...}main(int argc, char** argv){...}main(int argc, char** argv){...}int count(int n){...}Experiment n cycles/n1 10 1649.22 10 17.23 1000 24.34 1000 6.1Experiment n cycles/n1 10 1657.6210261a 10 202a 10 16.43a 1000 1.74a 1000 1.6It’s the system, stupid!It’s the system, stupid!–12–15-213, S’03Great Reality #3Great Reality #3Memory MattersMemory MattersMemory is not unboundedMemory is not unboundedIt must be allocated and managedMany applications are memory dominatedMemory performance is not uniformMemory performance is not uniformCache and virtual memory effects can greatly affect program performanceAdapting program to characteristics of memory system can lead to major speed improvementsMemory referencing bugs especially perniciousMemory referencing bugs especially perniciousEffects are distant in both time and space–13–15-213, S’03Hardware Organization (Naïve)Hardware Organization (Naïve)–14–15-213, S’03Memory Performance ExampleMemory Performance ExampleImplementations of Matrix MultiplicationImplementations of Matrix MultiplicationMultiple ways to nest loops/* ijk */for (i=0; i<n; i++) {for (j=0; j<n; j++) {sum = 0.0;for (k=0; k<n; k++) sum += a[i][k] * b[k][j];c[i][j] = sum;}} /* ikj */for (i=0; i<n; i++) {for (k=0; k<n; k++) {sum = 0.0;for (j=0; j<n; j++)sum += a[i][k] * b[k][j];c[i][j] = sum}}–15–15-213, S’03020406080100120140160matrix size (n)ijkikjjikjkikijkjiMatmult Performance (Alpha 21164)Matmult Performance (Alpha 21164)Too big for L1 Cache Too big for L2


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CMU CS 15213 - Introduction to Computer Systems

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