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zhx<3iej)B6mvji8CM(G+&3V&)x^(-=zm{dWNvxr_pZc_=t(&Noewb=Bb|AX8nebs~ z0^WaA6F9C3sAn#!IZo;DiU2H&7no*3wjM@4u*EeE!7?ee;Od0Zf{Bkihc>t*<{G{=j_L#|&gviZ{Mg z1x7brC(*X5!@KExM16T%lXm2OS1M+xdynf+7k_-T&B!taOAqMcfj-w4c(vvwuALyH z%5`Y$w=H|r!}en^_?KA)t!rSh7I{BO5P=*t?rAQP4EhP-;S%EbRF7b@p77ebKE=F6 zStJg|oAUFtlADXF0{m>#2Lr${DDL>jmOQTQvbBEgTsDCehQ|y;Mq)L5nVV6h2_Hdk z>>OF+MJVB^ezL-`ZG5lClmsA!g%#inUL1}uG!V3_nd*`YQ) zPxwOnp_$$c7Bol@WM?-!bcE#VQ3^S>I?Np!H~|Fw6WORLaJJt8RicB542G7H4VZfkA`>%P#9; zR2S$RzXsDpKVjdd9oIHvQ;#|NQ&}-)x%`Y1X|x7~|GD5JGWmwd@2baQ#M2!n!4zK? zWkqILn1dw)aJ{#mKMPP>2gM+}x2{Zgrf)poYep_=dcWUD$-K2bS^cJ4^qqq+&*x5jTphbVk~Gbnvrc>TPS@mm13WCkGW zGRdSnk+8iSb>fJJEbv*~sEE6Zh4x8qPMOxFTnI{yNnRLnF9&pE!`uyuNf+h%Z6@q1 zP*}^m6Z_BZW9AJ7I;bUQu^EB?@gS%xFt{8p)=lo8V-D!llp?IX-gdzViPtL4n*Az1 zIX4}NV6GP}xZDO&(~ckZ_?L?V4RmqGVQ^T`C)7|lQ)o<;prA^^b%q0tnBi62pDi+pFqsCKA4b?N%t 10[CPU] 9[Ensamblador nativo] --> 10[CPU] ``` -# TEMA 3: Paralelismo a nivel de instrucciones (ILP) +# TEMA 3: Instruction Level Parallelism (ILP) ## 1. Técnicas de planificación dinámicas ### $t_{CPU}=N_{instr}\times CPI\times T_{CLK}$ @@ -212,8 +212,185 @@ Estas escriben en registros y memoria antes de abortarse y es un problema. Tambi - **Fase IS:** más compleja (bottleneck). Emite las $m$ instrucciones mientras haya RS libres. - **Fase EX:** total UF > $m$ y doble puerto. - **Fase WB:** nº de CDBs y puertos del fichero de registros proporcional a $m$. -# TEMA 4: Paralelismo a nivel de datos (DLP) -### Introducción -- DLP sólo es útil para paralelismo de datos (vectores/matrices o código científico/multimedia). -- Es más correcto: **Arquitecturas SIMD (Single Instruction Multiple Data)** o de paralelismo de datos, o núcleos vectoriales. -- Variante: **GP-GPU (General Purpose-Graphics Processor Unit)**. +# TEMA 4: Data Level Parallelism (DLP) +## 1. Set de instrucciones SIMD +Registro SIMD (MMX Intel, AVX AMD). +![[Imagen de WhatsApp 2024-12-01 a las 17.20.40_e72cdcba.jpg|300]] +![[Imagen de WhatsApp 2024-12-01 a las 17.20.58_65b04e33.jpg|300]] +### Instrucciones aritméticas +Se añade un suffix que indica vectorización. Hay 4 tipos de suffix dependiendo de: +![[Imagen de WhatsApp 2024-12-01 a las 17.43.54_e82058e0.jpg|400]] +#### Ejemplo +![[Imagen de WhatsApp 2024-12-01 a las 17.21.22_99f7757f.jpg|250]] +```asm +addps MM2, MM1, MM3 +addpd MM7, ... +``` +### Operaciones lógicas +```asm +andps MM2, MM1, MMmask ---> MMmask = 0x7FFFFFFF, signo: 0 (+) +orpd +xorps MMX, MMX, MMmask ---> MMmask = 0x80000000, cambia signo +xnorps ... +notpd ... +``` +### Instrucciones de comparación (generan máscaras) +`cmptgtss MMmask, MM2, MM4` +![[Imagen de WhatsApp 2024-12-01 a las 17.21.42_81ca5180.jpg|250]] +### Instrucciones de acceso a memoria +Movimientos de 128 bits (`ldps`, `stpd`). Conviene tener alineamiento: 128 bits (16B) $\rightarrow$ `Rx $ 16 = 0`. +### Instrucciones de "shuffle" de elementos +``` +shufps MMfd, MMf, MMmask +shufpd ... +``` +La única instrucción de este tipo que es "útil" es: `shufps MM1, MM1, a` que es para replicar `a` en todos. +#### Ejemplo: DAXPY +![[Imagen de WhatsApp 2024-12-01 a las 17.22.01_a68c21f3.jpg|500]] +#### Ejemplo: Sumatorio +![[Imagen de WhatsApp 2024-12-01 a las 17.22.17_9d40634d.jpg|500]] +Truco: poner a '0' un registro: xorpd MMS, MMS, MMS +## 2 .Procesado condicional +La vectorización es incompatible con las sentencias `if/else` hay que hacerlas desaparecer. Se usa la ejecución predicativa de forma: `[COND] INSTRUCCIÓN` +1. Generar V's +2. Generar F's +3. Compactar con máscaras + +![[Pasted image 20241201180415.png|400]] +![[Pasted image 20241201180451.png]] +## 3. Modelo del tejado (Roofline Model) +$$ \begin{equation} +GLFOPS=\frac{Nº~FLOPS}{10^9·t_{CPU}}=D_A·AB_{RAM}=\frac{Nº~FLOPS}{1~Byte}·\frac{1~GB}{1~s} +\end {equation} $$ +$$ \begin{equation} +\log{(GFLOPS)}=\log{(AB_{RAM})}+1·\log{(D_A)}\text{ queda de la forma: y=ax+b} +\end {equation} $$ +![[Imagen de WhatsApp 2024-12-01 a las 17.23.41_327415e6.jpg|]] +A tener en cuenta: +- 2 UF +- Núcleo vectorial AVX (256 bits = 8 x 32 float) +- $\frac{2x8~FLOPS}{1~ciclo}·\frac{F~Gciclos}{1~s}·\text{12 cores en ||}=3GHz=16·3·12~GFLOPS~(techo)$ + +Siendo la densidad aritmética ideal: +$D_{A,ideal}=\frac{\text{GFLOPS techo}}{AB_{RAM}}=\frac{16·3·12}{48}=12$ +# TEMA 5: Thread Level Parallelism (TLP) +### Puntos débiles de un sistema multicore +- Difícil analizar si una app es paralelizable. +- Difícil de hacer DEBUG +- Pensar en vectorial es difícil +- Si el dato es remoto ("sale del computador") $\Rightarrow$ alta latencia (ms). +## 1. Taxonomía de Flynn. Taxonomía según la MP. +Single/Multiple Instruction/Data flows: +- SISD +- SIMD +- MISD +- MIMD +Si atendemos a cómo se organiza la memoria principal (MP): +![[Imagen de WhatsApp 2024-12-02 a las 19.14.00_a8876db6.jpg|400]] +- **UMA (Uniform Memory Access):** + - Tiempo de acceso uniforme para toda dirección. + - También se llaman Multiprocesadores Simétricos (SMP). + - Casi todos los multicore actuales son así. + - Hay cuello de botella en el acceso a memoria. +- **NUMA (Non Uniform Memory Access):** + - Tiempo de acceso no uniforme. + - Compatible con UMA. +- **MPM (Message Passing Machine):** + - Espacio de direcciones distribuido. + - Cada CPU es un computador independiente. + - Escalabilidad fácil excepto en el ancho de banda de lectura (en memoria). + - Comunicación por mensajes (como el S.O.) +

Escalabilidad

Un concepto es escalable si al crecer p (nº CPUs), crece al menos tanto como p.

+## 2. Herramientas de programación: OpenMP +- Espacio de direcciones compartido +- Paralelismo "incremental" porque se van añadiendo directivas `#pragma omp ...` +- Modelo de programación SPMD (Single Program Multiple Data). + ![[Imagen de WhatsApp 2024-12-02 a las 19.20.38_10d0403a 1.jpg]] + Cada hilo lleva un `tid`, que lo identifica: + ![[Imagen de WhatsApp 2024-12-02 a las 19.21.18_1bf4e996.jpg|500]] +### Puntos clave para el diseño de una app +1. Buscar regiones paralelas (mucho DLP) +2. Insertar directivas (`#pragma omp ...`) para especificar el reparto de tareas entre hilos +3. Comunicación y sincronización entre hilos +4. "Revolución": modificar DSA si no hay buen paralelismo +### Directivas de la librería OpenMP +`omp_set_num_threads(nth);` -> establece el número de hilos a usar +`omp_get_num_threads();` -> obtiene el número de hilos actual +`omp_get_thread_num();` -> obtiene el `tid` del hilo en uso +![[Imagen de WhatsApp 2024-12-02 a las 19.25.01_a3ba0084.jpg|400]] +![[Imagen de WhatsApp 2024-12-02 a las 19.25.30_3a3bec91.jpg]] +

Detalle

Toda variable compartida puede dar lugar a problemas de coherencia en Memoria Caché.

+### Planificación de Tareas: SCHEDULE +Hay diferentes formas de asignar iteraciones a hilos: +- `schedule(static[,chunk])`: "chunk" iteraciones se asignan de manera estática a los hilos en _round-robin_. +- `schedule(dynamic[,chunk])`: cada hilo toma "chunk" iteraciones cada vez que está sin trabajo. +- `schedule(guided[,chunk])`: cada hilo toma progresivamente menos iteraciones (dinámicamente) hasta "chunk". + +![[Pasted image 20241202205510.png|400]] +Hay algunas diferencias notables entre **static** y **dynamic**: +- **Static:** menos coste / mejor localidad de datos +- **Dynamic:** más coste / carga más equilibrada +### Reparto de tareas +1. Directiva **`for`**: se pone dentro de una sección **`omp parallel`**. Reparte la ejecución de un bucle entre todos los hilos. +2. Directiva **`sections`**: para definir "manualmente" trozos o secciones de una región paralela a repartir entre hilos en función de su `tid`. +3. Directiva **`single`**: para definir un trozo de código que sólo lo debe ejecutar un hilo. +### Sincronización +Los hilos se detienen hasta que alcancen la barrera (`#pragma omp barrier`). +

NOTA

#pragma parallel for introduce una barrera de forma implícita

+### Secciones críticas y actualizaciones atómicas +Si los hilos se comunican con variables compartidas, y estas se usan mal, se originan condiciones de carrera (data-race). Se intenta sincronizar para evitarlas, pero poco, ya que la sincronización es costosa. Para definir la sección crítica se usa la directiva `#pragma omp critical`. +## 3. Herramientas de programación: MPI +Message Passing Interface o MPI, es una especificación para paso de mensajes. Algunas ventajas al usar MPI son: +- Es estándar en HPC +- Es portable +- Funcionalidad (alrededor de 115 rutinas) +Las principales implementaciones son OpenMPI, MPI-CH, LAMMPI. +### Modelo SPMD de programación +Un único fichero de código, una copia del ejecutable en cada nodo (incluye bifurcaciones según el `PID`). También puede haber un **mpd daemon** que se ejecuta en cada nodo del cluster y espera envío de procesos a estos para levantarlos. +### Inicialización y terminación +- Se incluye en el header `mpi.h`. +- `int MPI_Init(int* argc, char*** argv)` + - debe ser la primera llamada (y sólo una vez) + - inicializa el entorno de ejecución + - arc y argv son del main +- `int MPI_Finalize(void)` + - termina el entorno de ejecución de MPI + - debe ser la última rutina de MPI +- `int MPI_Comm_size(MPI_COMM_WORLD, int* totTasks)` + - devuelve el número de procesos en el grupo (_comunicador_ MPI) en `totTasks` +- `int MPI_Comm_rank(MPI_COMM_WORLD, int* task_id)` + - devuelve el rango (id) del proceso actual (de 0 a `totTasks`-1) en `task_id`. +Aproximadamente todos los mensajes de MPI tienen: +- **buff**: el puntero a enviar +- **count**: el numero de unidades +- **MPI_TYPE**: el tipo de variables +- **source/dest**: ID de proceso donde llega o de donde viene +- **tag**: etiqueta del mensaje +- **comm**: ID del grupo de procesos (_comunicador_) +- **status**: chequea si el mensaje fue correcto +### Mensajes simples: de uno a uno +- `int MPI_Send(void* buf, int count, MPI_Datatype datatype, int dest, int tag, MPI_Comm comm)` + - envío básico **BLOQUEANTE**. + - la rutina retorna cuando el buffer de la app está libre + - existe `MPI_Isend` **NO BLOQUEANTE** +- `int MPI_Recv(void* rbuf, int count, MPI_Datatype datatype, int source, int tag, MPI_Comm comm, MPI_Status* status)` + - recibe un mensaje (**BLOQUEANTE**) + - existe `MPI_Irecv` **NO BLOQUEANTE** +

/!\ ATENCIÓN /!\

Puede ocurrir un INTERBLOQUEO (deadlock) si se intenta hacer MPI_Recv(...) sin mandar un mensaje con MPI_Send(...)

+### Comunicación colectiva +Similar a OpenMP pero con más operaciones. Movimiento colectivo de datos. Hay varios tipos: +- **Broadcast:** desde un proceso al resto de procesos. + `int MPI_Bcast(void* buff, int count, MPI_Datatype datatype, int root, MPI_Comm comm)` + ![[Pasted image 20241202213404.png|400]] +- **Scatter:** distribuye distintos mensajes de un proceso al resto. Un proceso **root** debe tener un buffer con `sendcnt*p` elementos. Lo habitual es: `sendcnt = recvcnt`. + `int MPI_Scatter(void* sendbuf, int sendcnt, MPI_Datatype sendtype, void* recvbuf, int recvcnt, MPI_Datatype recvtype, int root, MPI_Comm comm)` + ![[Pasted image 20241202213603.png|400]] + - **Gather:** recoge distintos mensajes de cada proceso en un único proceso destino. Es la contraria de `MPI_Scatter`. ![[Pasted image 20241202214114.png|600]] +- **Allgather:** concatena los datos de todos los procesos. Cada proceso realiza un broadcast uno-a-todos. + ![[Pasted image 20241202214247.png|400]] +#### Esquema Scatter-Gather +Se suele usar el esquema **Scatter-Gather** +![[Pasted image 20241202214411.png]] +### Reducciones: MPI_Reduce +`int MPI_Reduce(const void* sendbuf, void* recvbuf, int count, MPI_Datatype datatype, MPI_Op op, int root, MPI_Comm comm)` +## 4. 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