ConditionalTasking

# Conditional Tasking

Create a Condition Task

Create a Condition Task

ConditionalTasking_1CreateAConditionTask
Understand our Task-level Scheduling

Understand our Task-level Scheduling

ConditionalTasking_1TaskSchedulingPolicy
Example

Example

ConditionalTasking_1TaskLevelSchedulingExample
Avoid Common Pitfalls

Avoid Common Pitfalls

ConditionalTasking_1AvoidCommonPitfalls
Implement Control-flow Graphs

Implement Control-flow Graphs

ConditionalTasking_1ImplementControlFlowGraphs
Implement If-Else Control Flow

Implement If-Else Control Flow

ConditionalTasking_1ImplementIfElseControlFlow
Implement Switch Control Flow

Implement Switch Control Flow

ConditionalTasking_1ImplementSwitchControlFlow
Implement Do-While-Loop Control Flow

Implement Do-While-Loop Control Flow

ConditionalTasking_1ImplementDoWhileLoopControlFlow
Implement While-Loop Control Flow

Implement While-Loop Control Flow

ConditionalTasking_1ImplementWhileLoopControlFlow
Create a Multi-condition Task

Create a Multi-condition Task

ConditionalTasking_1CreateAMultiConditionTask

Parallel workloads often require making control-flow decisions across dependent tasks. Taskflow supports a very efficient interface of conditional tasking for users to implement general control flow such as dynamic flow, cycles and conditionals that are otherwise difficult to do with existing frameworks.

# Create a Condition Task

A condition task evaluates a set of instructions and returns an integer index of the next successor task to execute. The index is defined with respect to the order of its successor construction. The following example creates an if-else block using a single condition task.

    1:tf::Taskflowtaskflow;
    2:
    3:auto[init,cond,yes,no]=taskflow.emplace(
    4:[](){},
    5:[](){return0;},
    6:[](){std::cout<<"yes\n";},
    7:[](){std::cout<<"no\n";}
    8:);
    9:
    10:cond.succeed(init)
    11:.precede(yes,no);//executesyesifcondreturns0
    12://executesnoifcondreturns1

Line 5 creates a condition task `cond` and line 11 creates two dependencies from `cond` to two other tasks, `yes` and `no`. With this order, when `cond` returns 0, the execution moves on to task `yes`. When `cond` returns 1, the execution moves on to task `no`.

It is your responsibility to ensure the return of a condition task goes to a correct successor task. If the return falls beyond the range of the successors, the executor will not schedule any tasks.

Condition task can go cyclic to describe iterative control flow. The example below implements a simple yet commonly used feedback loop through a condition task (line 7-10) that returns a random binary value. If the return value from `cond` is `0`, it loops back to itself, or otherwise to `stop`.

    1:tf::Taskflowtaskflow;
    2:
    3:tf::Taskinit=taskflow.emplace([](){}).name("init");
    4:tf::Taskstop=taskflow.emplace([](){}).name("stop");
    5:
    6://createsaconditiontaskthatreturns0or1
    7:tf::Taskcond=taskflow.emplace([](){
    8:std::cout<<"flippingacoin\n";
    9:returnstd::rand()%2;
    10:}).name("cond");
    11:
    12://createsafeedbackloop{0:cond,1:stop}
    13:init.precede(cond);
    14:cond.precede(cond,stop);//returns0to'cond'or1to'stop'
    15:
    16:executor.run(taskflow).wait();

A taskflow of complex control flow often just takes a few lines of code to implement, and different control flow blocks may run in parallel. The code below creates another taskflow with three condition tasks.

    tf::Taskflowtaskflow;

    tf::TaskA=taskflow.emplace([](){}).name("A");
    tf::TaskB=taskflow.emplace([](){}).name("B");
    tf::TaskC=taskflow.emplace([](){}).name("C");
    tf::TaskD=taskflow.emplace([](){}).name("D");
    tf::TaskE=taskflow.emplace([](){}).name("E");
    tf::TaskF=taskflow.emplace([](){}).name("F");
    tf::TaskG=taskflow.emplace([](){}).name("G");
    tf::TaskH=taskflow.emplace([](){}).name("H");
    tf::TaskI=taskflow.emplace([](){}).name("I");
    tf::TaskK=taskflow.emplace([](){}).name("K");
    tf::TaskL=taskflow.emplace([](){}).name("L");
    tf::TaskM=taskflow.emplace([](){}).name("M");
    tf::Taskcond_1=taskflow.emplace([](){returnstd::rand()%2;}).name("cond_1");
    tf::Taskcond_2=taskflow.emplace([](){returnstd::rand()%2;}).name("cond_2");
    tf::Taskcond_3=taskflow.emplace([](){returnstd::rand()%2;}).name("cond_3");

    A.precede(B,F);
    B.precede(C);
    C.precede(D);
    D.precede(cond_1);
    E.precede(K);
    F.precede(cond_2);
    H.precede(I);
    I.precede(cond_3);
    L.precede(M);

    cond_1.precede(B,E);//return0to'B'or1to'E'
    cond_2.precede(G,H);//return0to'G'or1to'H'
    cond_3.precede(cond_3,L);//return0to'cond_3'or1to'L'

    taskflow.dump(std::cout);

The above code creates three condition tasks: (1) a condition task `cond_1` that loops back to `B` on returning `0`, or proceeds to `E` on returning `1`, (2) a condition task `cond_2` that goes to `G` on returning `0`, or `H` on returning `1`, (3) a condition task `cond_3` that loops back to itself on returning `0`, or proceeds to `L` on returning `1`

You can use condition tasks to create cycles as long as the graph does not introduce task race during execution. However, cycles are not allowed in non-condition tasks.

Conditional tasking lets you make in-task control-flow decisions to enable end-to-end parallelism, instead of resorting to client-side partition or synchronizing your task graph at the decision points of control flow.

# Understand our Task-level Scheduling

In order to understand how an executor schedules condition tasks, we define two dependency types, strong dependency and weak dependency. A strong dependency is a preceding link from a non-condition task to another task. A weak dependency is a preceding link from a condition task to another task. The number of dependents of a task is the sum of strong dependency and weak dependency. The table below lists the strong dependency and weak dependency numbers of each task in the previous example.

task | strong dependency | weak dependency | dependents
A | 0 | 0 | 0
B | 1 | 1 | 2
C | 1 | 0 | 1
D | 1 | 0 | 1
E | 0 | 1 | 1
F | 1 | 0 | 1
G | 0 | 1 | 1
H | 0 | 1 | 1
I | 1 | 0 | 1
K | 1 | 0 | 1
L | 0 | 1 | 1
M | 1 | 0 | 1
cond_1 | 1 | 0 | 1
cond_2 | 1 | 0 | 1
cond_3 | 1 | 1 | 2

You can query the number of strong dependents, the number of weak dependents, and the number of dependents of a task.

    1:tf::Taskflowtaskflow;
    2:
    3:tf::Tasktask=taskflow.emplace([](){});
    4:
    5://...addmoretasksandprecedinglinks
    6:
    7:std::cout<<task.num_dependents()<<'\n';
    8:std::cout<<task.num_strong_dependents()<<'\n';
    9:std::cout<<task.num_weak_dependents()<<'\n';

When you submit a task to an executor, the scheduler starts with tasks of zero dependents (both zero strong and weak dependencies) and continues to execute successive tasks whenever their strong dependencies are met. However, the scheduler skips this rule when executing a condition task and jumps directly to its successors indexed by the return value.

Each task has an atomic join counter to keep track of strong dependents that are met at runtime. When a task completes, the join counter is restored to the task's strong dependency number in the graph, such that the subsequent execution can reuse the counter again.

## Example

Let's take a look at an example to understand how task-level scheduling works. Suppose we have the following taskflow of one condition task `cond` that forms a loop to itself on returning `0` and moves on to `stop` on returning `1`:

The scheduler starts with `init` task because it has no dependencies (both strong and weak dependencies). Then, the scheduler moves on to the condition task `cond`. If `cond` returns `0`, the scheduler enqueues `cond` and runs it again. If `cond` returns `1`, the scheduler enqueues `stop` and then moves on.

# Avoid Common Pitfalls

Condition tasks are handy in creating dynamic and cyclic control flows, but they are also easy to make mistakes. It is your responsibility to ensure a taskflow is properly conditioned. Top things to avoid include no source tasks to start with and task race. The figure below shows common pitfalls and their remedies.

In the `error1` scenario, there is no source task for the scheduler to start with, and the simplest fix is to add a task `S` that has no dependents. In the `error2` scenario, `D` might be scheduled twice by `E` through the strong dependency and `C` through the weak dependency (on returning `1`). To fix this problem, you can add an auxiliary task `D-aux` to break the mixed use of strong dependency and weak dependency. In the risky scenario, task `X` may be raced by `M` and `P` if `M` returns `0` and P returns `1`.

It is your responsibility to ensure a written taskflow graph is properly conditioned. We suggest that you Understand our Task-level Scheduling and infer if task race exists in the execution of your graph.

# Implement Control-flow Graphs

## Implement If-Else Control Flow

You can use conditional tasking to implement if-else control flow. The following example creates a nested if-else control flow diagram that executes three condition tasks to check the range of `i`.

    tf::Taskflowtaskflow;

    inti;

    //createthreeconditiontasksfornestedcontrolflow
    autoiniti=taskflow.emplace([&](){i=3;});
    autocond1=taskflow.emplace([&](){returni>1?1:0;});
    autocond2=taskflow.emplace([&](){returni>2?1:0;});
    autocond3=taskflow.emplace([&](){returni>3?1:0;});
    autoequl1=taskflow.emplace([&](){std::cout<<"i=1\n";});
    autoequl2=taskflow.emplace([&](){std::cout<<"i=2\n";});
    autoequl3=taskflow.emplace([&](){std::cout<<"i=3\n";});
    autogrtr3=taskflow.emplace([&](){std::cout<<"i>3\n";});

    initi.precede(cond1);
    cond1.precede(equl1,cond2);//goestocond2ifi>1
    cond2.precede(equl2,cond3);//goestocond3ifi>2
    cond3.precede(equl3,grtr3);//goestogrtr3ifi>3

## Implement Switch Control Flow

You can use conditional tasking to implement switch control flow. The following example creates a switch control flow diagram that executes one of the three cases at random using four condition tasks.

    tf::Taskflowtaskflow;

    auto[source,swcond,case1,case2,case3,target]=taskflow.emplace(
    [](){std::cout<<"source\n";},
    [](){std::cout<<"switch\n";returnrand()%3;},
    [](){std::cout<<"case1\n";return0;},
    [](){std::cout<<"case2\n";return0;},
    [](){std::cout<<"case3\n";return0;},
    [](){std::cout<<"target\n";}
    );

    source.precede(swcond);
    swcond.precede(case1,case2,case3);
    target.succeed(case1,case2,case3);

Assuming `swcond` returns 1, the program outputs:

    {.shell-session}
    source
    switch
    case2
    target

Keep in mind, both switch and case tasks must be described as condition tasks. The following implementation is a common mistake in which case tasks are not described as condition tasks.

    //wrongimplementationofswitchcontrolflowusingonlyoneconditiontask
    tf::Taskflowtaskflow;

    auto[source,swcond,case1,case2,case3,target]=taskflow.emplace(
    [](){std::cout<<"source\n";},
    [](){std::cout<<"switch\n";returnrand()%3;},
    [](){std::cout<<"case1\n";},
    [](){std::cout<<"case2\n";},
    [](){std::cout<<"case3\n";},
    [](){std::cout<<"target\n";}//targethasthreestrongdependencies
    );

    source.precede(swcond);
    swcond.precede(case1,case2,case3);
    target.succeed(case1,case2,case3);

In this faulty implementation, task `target` has three strong dependencies but only one of them will be met. This is because `swcond` is a condition task, and only one case task will be executed depending on the return of `swcond`.

## Implement Do-While-Loop Control Flow

You can use conditional tasking to implement do-while-loop control flow. The following example creates a do-while-loop control flow diagram that repeatedly increments variable `i` five times using one condition task.

    tf::Taskflowtaskflow;

    inti;

    auto[init,body,cond,done]=taskflow.emplace(
    [&](){std::cout<<"i=0\n";i=0;},
    [&](){std::cout<<"i++=>i=";i++;},
    [&](){std::cout<<i<<'\n';returni<5?0:1;},
    [&](){std::cout<<"done\n";}
    );

    init.precede(body);
    body.precede(cond);
    cond.precede(body,done);

The program outputs:

    {.shell-session}
    i=0
    i++=>i=1
    i++=>i=2
    i++=>i=3
    i++=>i=4
    i++=>i=5
    done

## Implement While-Loop Control Flow

You can use conditional tasking to implement while-loop control flow. The following example creates a while-loop control flow diagram that repeatedly increments variable `i` five times using two condition task.

    tf::Taskflowtaskflow;

    inti;

    auto[init,cond,body,back,done]=taskflow.emplace(
    [&](){std::cout<<"i=0\n";i=0;},
    [&](){std::cout<<"whilei<5\n";returni<5?0:1;},
    [&](){std::cout<<"i++="<<i++<<'\n';},
    [&](){std::cout<<"back\n";return0;},
    [&](){std::cout<<"done\n";}
    );

    init.precede(cond);
    cond.precede(body,done);
    body.precede(back);
    back.precede(cond);

The program outputs:

    {.shell-session}
    i=0
    whilei<5
    i++=0
    back
    whilei<5
    i++=1
    back
    whilei<5
    i++=2
    back
    whilei<5
    i++=3
    back
    whilei<5
    i++=4
    back
    whilei<5
    done

Notice that, when you implement a while-loop block, you cannot direct a dependency from the body task to the loop condition task. Doing so will introduce a strong dependency between the body task and the loop condition task, and the loop condition task will never be executed. The following code shows a common faulty implementation of while-loop control flow.

    //wrongimplementationofwhile-loopusingonlyoneconditiontask
    tf::Taskflowtaskflow;

    inti;

    auto[init,cond,body,done]=taskflow.emplace(
    [&](){std::cout<<"i=0\n";i=0;},
    [&](){std::cout<<"whilei<5\n";returni<5?0:1;},
    [&](){std::cout<<"i++="<<i++<<'\n';},
    [&](){std::cout<<"done\n";}
    );

    init.precede(cond);
    cond.precede(body,done);
    body.precede(cond);

In the taskflow diagram above, the scheduler starts with `init` and then decrements the strong dependency of the loop condition task, `while i<5`. After this, there remains one strong dependency, i.e., introduced by the loop body task, `i++`. However, task `i++` will not be executed until the loop condition task returns `0`, causing a deadlock.

# Create a Multi-condition Task

A multi-condition task is a generalized version of conditional tasking. In some cases, applications need to jump to multiple branches from a parent task. This can be done by creating a multi-condition task which allows a task to select one or more successor tasks to execute. Similar to a condition task, a multi-condition task returns a vector of integer indices that indicate the successors to execute when the multi-condition task completes. The index is defined with respect to the order of successors preceded by a multi-condition task. For example, the following code creates a multi-condition task, `A`, that informs the scheduler to run on its two successors, `B` and `D`.

    tf::Executorexecutor;
    tf::Taskflowtaskflow;

    autoA=taskflow.emplace([&]()->tf::SmallVector<int>{
    std::cout<<"A\n";
    return{0,2};
    }).name("A");
    autoB=taskflow.emplace([&](){std::cout<<"B\n";}).name("B");
    autoC=taskflow.emplace([&](){std::cout<<"C\n";}).name("C");
    autoD=taskflow.emplace([&](){std::cout<<"D\n";}).name("D");

    A.precede(B,C,D);

    executor.run(taskflow).wait();

The return type of a multi-condition task is tf::SmallVector, which provides C++ vector-style functionalities but comes with small buffer optimization.

One important application of conditional tasking is implementing iterative control flow. You can use multi-condition tasks to create multiple loops that run concurrently. The following code creates a sequential chain of four loops in which each loop increments a counter variable ten times. When the program completes, the value of the counter variable is `40`.

    tf::Executorexecutor;
    tf::Taskflowtaskflow;
    std::atomic<int>counter{0};

    autoloop=[&,c=int(0)]()mutable->tf::SmallVector<int>{
    counter.fetch_add(1,std::memory_order_relaxed);
    return{++c<10?0:1};
    };
    autoinit=taskflow.emplace([](){}).name("init");
    autoA=taskflow.emplace(loop).name("A");
    autoB=taskflow.emplace(loop).name("B");
    autoC=taskflow.emplace(loop).name("C");
    autoD=taskflow.emplace(loop).name("D");

    init.precede(A);
    A.precede(A,B);
    B.precede(B,C);
    C.precede(C,D);
    D.precede(D);

    executor.run(taskflow).wait();//counter==40
    taskflow.dump(std::cout);

    std::cout<<"counter=="<<counter<<'\n';

It is your responsibility to ensure the return of a multi-condition task goes to a correct successor task. If a returned index falls outside the successor range of a multi-condition task, the scheduler will skip that index without doing anything.