Matlab Parsing At Run-Time Of Function Handles

The primary difference between nested features and other types of capabilities is that they'll access and modify variables which are outlined of their father or mother functions. Therefore, nested features can use variables that aren't explicitly passed as enter arguments. In a father or mother function, you can create a handle to a nested function that contains the data essential to run the nested function. Function handles created using str2func do not have entry to variables outdoors of their native workspace or to nested features. If your function handle accommodates these variables or capabilities, MATLAB® throws an error when you invoke the handle. Also, should you use a textual content representation of an anonymous function, the ensuing function handle doesn't have access to non-public or native features. Inputs not handed explicitly to the function, stored as a cell array of character vectors. These input arguments are assigned default values in the Results property. You can dynamically add on new members to the handles structure that include your variables that you want to cross in. This could expose variables to your function that you did not want or want exposed. Since variables passed in to MATLAB functions are "move by worth" and not "move by reference" should you change any of the variables, you are only altering the local copy.

Otherwise modifications you make to the handles construction variables are only local and received't survive as quickly as the function has returned. Function Handles are variables that allow you to invoke a function indirectly. A function handle is a knowledge type that stores an affiliation to a function. For instance, you should use a function handle to assemble nameless functions or specify call-back features. Also, you should use a function handle to move a function to another function, or call native capabilities from outside the principle function . Argument names outlined in the enter parser scheme, saved as a cell array of character vectors. Each function that provides an input argument to the scheme updates the Parameters property. These functions embrace addRequired, addOptional, and addParameter. Since function handles are treated like variables, they are often passed to functions that settle for function handles as enter arguments. MATLAB program files can include code for multiple function. In a function file, the primary function in the file is known as the principle function. This function is visible to features in different information, or you'll find a way to call it from the command line. Additional features inside the file are known as native features, and they can happen in any order after the primary function. Local capabilities are solely visible to different capabilities in the identical file. They are equivalent to subroutines in other programming languages and are generally known as subfunctions. If MATLAB sees a shared variable throughout the shared workspace, it searches the workspace for the variable. On the opposite hand, if the arguments are handed by the calling function, then MATLAB doesn't have to seek for them. The time taken for this search explains that sort nest-share is slower than file-pass, nest-pass, and sub-pass.

There are numerous compromises between the event velocity when utilizing an interpreter and the execution velocity when using a compiler. Some techniques allow interpreted and compiled code to name one another and to share variables. This implies that as soon as a routine has been tested and debugged beneath the interpreter it can be compiled and thus profit from sooner execution while other routines are being developed. Many interpreters don't execute the source code because it stands but convert it into some extra compact inside form. Many BASIC interpreters exchange keywords with single byte tokens which can be used to find the instruction in a jump table. Many BASIC interpreters can retailer and skim again their own tokenized internal illustration. There are sixteen basic knowledge sorts, or courses, in MATLAB. With the exception of function handles, this matrix or array is a minimum of 0-by-0 in size and can develop to an n-dimensional array of any size. In addition to setting nargin every time a function is identified as, Octave additionally routinely initializes nargout to the variety of values that are anticipated to be returned. This allows you to write capabilities that behave in another way depending on the variety of values that the user of the function has requested. The implicit task to the built-in variable ans does not figure in the depend of output arguments, so the value of nargout could also be zero. Convert r to a MATLAB function and write this function to the file myfile. By default, matlabFunction uses alphabetical order of enter arguments when changing symbolic expressions that include solely lowercase letters for the variable names. The generated enter arguments are scalar variables x, y, and z. Convert a personality vector that represents an nameless function to a function handle. Workspace variables usually are not available to the str2func function.

Therefore, include values in the character vector which may be necessary to evaluate the expression and that aren't defined as function inputs. During the software improvement cycle, programmers make frequent modifications to source code. Effects are evident upon saving the supply code and reloading this system. Compiled code is mostly much less readily debugged as modifying, compiling, and linking are sequential processes that should be conducted in the correct sequence with a proper set of commands. For this cause, many compilers even have an government help, often recognized as a Makefile and program. However, a compiled program nonetheless runs a lot sooner, beneath most circumstances, partly because compilers are designed to optimize code, and could also be given ample time for this. This is particularly true for much less complicated high-level languages with out dynamic data constructions, checks, or type checking. In this instance, function do_the_needful() accepts a pointer to an options_t construction. I validate that the choices pointer isn't NULL and then go on to validate the enter and output construction members. EXIT_FAILUREreturns if both check fails and, by setting the external international variable errno to a traditional error code, I signal to the caller a common purpose. The comfort function perror() can be used by the caller to emit human-readable-ish error messages based on the value of errno. In addition to broad customization using UDF recordsdata, the person may set some basic field variables and outline his field features to tailor contour and vector show, XY plots, and so on. To accomplish that, entry the Custom Field Function Calculator toolbox in Parameters & Customization. Here, one can use default area variables, previously defined calculator capabilities and calculator operators to create new capabilities, all by using easy calculator operators. Creating custom subject features come notably helpful every time the default Fluent variables are inadequate to describe the issue in hand. The complete number of arguments to name func with may be handed in ntot; by default ntot is n. The enter n may additionally be a vector of indices of the output, during which case the output shall be a cell array of the requested output arguments. Any references to previously declared arguments should be visible within the textual content of validation features and default values. To ensure code transparency, don't use functions that work together with the function workspace.

Specifically, don't use nested functions or any of the features listed in the following table within the argumentsblock. Matching indicator to throw error when an input isn't discovered within the input parser scheme, specified as false or true . By default, the parse function throws an error if an input argument name doesn't match one defined in the input parser scheme. To suppress the error and retailer the input argument name and worth, set KeepUnmatched to true . The inputParser shops unmatched input argument names and values within the Unmatched property. Name of the function to show in error messages, specified as a character vector or string scalar. By default, FunctionName is an empty character vector (''). Typically, you set FunctionName to the name of the function you are validating. Then, if the parse function encounters invalid input arguments, it stories the error using the function name. That being said, in your instance, it may really be decreased to a function handle quite than an anonymous function because you cross all enter arguments on to cos with out modifying them. As you can see, this has a unique inner illustration and from some preliminary benchmarks, it seems to be marginally quicker. The purpose of the main() function is to gather the arguments that the person offers, perform minimal enter validation, after which pass the collected arguments to functions that will use them. This example declares an choices variable initialized with default values and parse the command line, updating choices as necessary. A global variable may need its worth, and due to this fact its kind, change at any level. This makes it tough for the compiler to optimize code utilizing global variables. Variables must be native, or handed as arguments to functions, whenever potential. As an different to utilizing function handles, we will move the string names of capabilities and both convert to handles using the str2func() function or evaluate them utilizing the feval() function. The eval() function allows you to execute any string as if it had been typed at the command prompt. However, these methods are much slower than utilizing function handles and are not recommended.

To generate a MATLAB function with enter arguments which may be a mixture of scalar and vector variables, specify the name-value argument Vars as a cell array. For examples, see Specify Input Arguments for Generated Function and Generate Function with Vector Input Arguments. Specify Vars as a vector to generate a MATLAB function with enter arguments which are scalar variables. Specify Vars as a cell array to generate a MATLAB function with input arguments which are a mix of scalar and vector variables. By default, if you convert symbolic expressions that include solely lowercase letters for the variable names, the order is alphabetical. When you exchange symbolic capabilities, their enter arguments appear in entrance of other variables, and all different variables are sorted alphabetically. The generated enter arguments are two 1-by-3 vector variables in1 and in2 that correspond to x and y, respectively. To generate a MATLAB function with enter arguments which are vector variables, specify the name-value argument Vars as a cell array. Now, convert an expression r to a MATLAB function whose input arguments are a scalar and a vector. The generated enter arguments are a scalar variable t and a 1-by-3 vector variable in2.

The nargin function returns the variety of function input arguments given in the call to the presently executing function. When using function argument validation, the value returned by nargin within a function is the variety of positional arguments offered when the function is identified as. Using specialized validation capabilities can present extra particular input argument validation. For example, this function defines specialized validation functions that it makes use of in place of the class and size specs for the first and second arguments. These local capabilities enable you to avoid enter worth conversions. When a function is called, MATLAB validates the input arguments in the order they are declared within the arguments block, from prime to backside. Each argument is absolutely validated earlier than the following argument is validated. Therefore, any reference to a beforehand declared argument makes use of values which have been validated. Functions throw an error on account of the first validation failure. Validating technique enter arguments is useful in public strategies as a outcome of calls to the method might not originate at school code. You can use function argument validation in concrete class strategies, together with concrete strategies outlined in summary courses. For data on class strategies, see Methods and Abstract Classes and Class Members. You can call the function with no inputs or multiples of three inputs. MATLAB creates a cell array for each argument containing all of the values passes for that argument. This name to fRepeat passes two sets of the three repeating arguments.

In the function, every repeating argument turns into a cell array with the number of elements equal to the number of repeats passed in the function call. The validation is utilized to each factor of the cell array. If the function is recognized as with zero occurrences of this argument, the cell array has a measurement of 1-by-0. During the validation course of, MATLAB passes the argument worth to every validation function listed for that argument. The value passed to the validation capabilities is the outcomes of any conversion made by the class and measurement specifications. MATLAB calls every function from left to right and throws the primary error encountered. If your function accepts elective input strings or character vectors and name-value arguments, specify validation capabilities for the optional inputs. Otherwise, the Input Parser interprets the optional strings or character vectors as parameter names. For instance, the checkFinish validation function ensures that printPhoto interprets 'glossy' as a price for finish and never as an invalid parameter name. Unmatched input names and values of inputs that do not match input parser scheme, stored as a structure. If the KeepUnmatched property is set to false , which is the default, or if all inputs match the input parser scheme, then Unmatched is a 1-by-1 structure with no fields. Otherwise, each field of the Unmatched construction corresponds to the name of an enter argument that does not match the arguments defined in the input parser scheme. Results specified as the names of valid input arguments and the corresponding values, saved as a structure. A valid enter argument is one with a reputation that matches an argument outlined within the enter parser scheme. Each subject of the Results structure corresponds to the name of an argument within the enter parser scheme. The inputParser object enables you to manage inputs to a function by creating an enter parser scheme.

To check the input, you'll be able to define validation functions for required arguments, elective arguments, and name-value pair arguments. Optionally, you'll find a way to set properties to regulate the parsing conduct, similar to handling case sensitivity, construction array inputs, and inputs that are not in the enter parser scheme. You can create the function with the maximum variety of possible input arguments and then check what quantity of inputs have been provided by the user with the nargin() function. It is usually useful to parameterize nested features despite the very fact that they may just access the variables from the father or mother function directly. Parameterization lets you call the same nested function many instances with totally different inputs every time. Note that functions may return any number of outputs, including 0, and should take any variety of inputs, together with zero. When a function takes no arguments, the use of parentheses is optional as in version or version(). If we don't supply any names to the outputs of a function and it returns outputs, the primary, and only the primary, of these outputs is assigned to the ans variable. In basic, if a function returns n values, we can assign 0 to n of those by supplying zero to n variable names enclosed in square brackets as within the examples beneath. Within the function, you should use the inputs as native variables and you should assign values to each of the outputs before the function terminates, . It is customary to finish the function with the top keyword but this is elective except you've nested features or multiple capabilities per file as described below.

When converting a symbolic expression to a MATLAB function, you can specify the names of the output variables. Note that matlabFunction without the Fileargument creates a function handle and ignores the Outputs flag. To remove the standard conversions performed by MATLAB from input argument validation, use validation capabilities as a substitute of class and dimension restrictions. Calls to validation functions don't return values and can't change the worth of the enter argument. Function argument validation is a approach to declare particular restrictions on function input arguments. Using argument validation you can constrain the class, size, and other elements of function input values with out writing code in the body of the function to carry out these tests. If, throughout the m-file function, an argument variable is modified, then the regular rules apply . So if an element of the argument variable is modified then the argument variable is first unshared and then the element modification takes place. Or if the argument variable is about equal to one thing utterly new then the argument variable is cleared and then the model new assignment takes place. If you include workspace variables in your character vector, str2func creates the function handle, but MATLAB throws an error when you invoke the function handle. Query or set the internal variable that controls whether Octave checks the time stamp on information each time it seems up features outlined in function files. As you write capabilities, adding them after the main() function and never before, embody the function prototypes here. Early C compilers used a single-pass strategy, which meant that every symbol you utilized in your program had to be declared before you used it.

Add To Beginning Of Array Swift

The following example creates an array of integers from an array literal, then appends the elements of another collection. Before appending, the array allocates new storage that is large enough store the resulting elements. While each collection type has a unique set of features, the collection types of Swift's standard library also have a few things in common. The values and keys stored by arrays, sets, and dictionaries are strictly typed. In other words, you cannot insert an integer into an array of strings. In computer programming, arrays are numbered lists (or "collections") of items with the same type.

A variable contains one value, and an array can hold many values. Let's get started with the syntax to create an array. We run a benchmark of the different statements in the function and we found that the time consuming task is the call to dictionaries.append. Keep looping while left index is smaller than the right index. For each pair of elements, check if they add up to the given sum.

Otherwise, check if their sum is less than the given sum, and if so, increment the left index. For those who want to try the examples, you can open a Playground. For those who don't like playgrounds, you can also create a new single view application. In the ViewController class, you can add this code to the viewDidLoad method. Open up the bottom pane of Xcode to see your results. I will sometimes add a print function to show the results, but not in all cases.

Every array reserves a specific amount of memory to hold its contents. The new storage is a multiple of the old storage's size. This exponential growth strategy means that appending an element happens in constant time, averaging the performance of many append operations.

Append operations that trigger reallocation have a performance cost, but they occur less and less often as the array grows larger. Arrays are one of the most commonly used data types in an app. Specifically, you use the Array type to hold elements of a single type, the array's Element type.

An array can store any kind of elements---from integers to strings to classes. They both store a collection of values of the same type. You can add and remove elements if the set or array is mutable.

You already know how to add and remove items from an array. To access the value stored at a particular index, you use subscript syntax. The syntax should look familiar if you have experience with other programming languages, such as Objective-C. Generic types are similar to generic functions, but they are types that are generalized to take in different types of values. They are most often used with collection types, including arrays of course, but also Dictionaries. The example in Apple's iBook uses a stack, another type of collection, to show how they work and are created.

If you want to learn more, check out my post on Generic Types in Swift. You can also learn a bit more about Generics from an earlier postGeneric Functions in Swift. There are elements already in the array that I'm attempting to insert, so that's not it. My workaround is to create a new array with the element that I'm attempting to insert, and then append all the elements from the original array. Since we already allocated size, the array doesn't need to re-allocate its internal storage every time it needs to add a new element to the output array.

This optimization trick will speed up the operation in the for loop and even significantly for arrays with a large number of elements. In a loop like this, we might need to do it multiple times depending on how many elements we need to process. As the number of elements grows, so does the memory operation to re-allocate memory for new elements.

The elements of the resulting array are ordered according to the given predicate. Subscripts provide shortcuts to access elements in an array or other collection. The default subscript raises an exception when an index appears to be out of valid range. Let's overload it to return an optional element instead.

We can add elements to the end of an array the function append is called on the instance of array as shown below. It's good practice, in general, to create immutable collections if possible for performance. This applies to both Arrays and Sets and allows the Swift compiler to optimize the performance of the collections you create. If you'd like to learn more about performance and collections, check out Performance, functional programming, and collections in Swift. Note that using binary search doesn't change the worst-case running time complexity of insert().

The binary search itself takes only O time, but inserting a new object in the middle of an array still involves shifting all remaining elements in memory. But in practice this new version definitely is a lot faster, especially on large arrays. Before this, it was frustrating to keep a unique list of items in a specific order in Swift, especially because that's a common scenario. Think of an app that processes a store's preorders. If you, Ray and I all want to preorder the next iPhone, Apple needs to know who placed the order first, second and last. While a Swift Array could work for this, you'd need to write extra code to prevent the user from adding duplicate items to the collection.

The real benefit of using deques over arrays comes down to performance, which you'll look at next. Swift arrays are value types that allow dynamically storing the arbitrary numbers of values without knowing the exact count at the beginning. The returned ArraySlice instance uses the same indices for the same elements as the original array. In particular, that slice, unlike an array, may have a nonzero startIndex and an endIndex that is not equal to count. Always use the slice's startIndex and endIndexproperties instead of assuming that its indices start or end at a particular value.

You can use this initializer to create an array from any other type that conforms to the Sequence protocol. For example, you might want to create an array with the integers from 1 through 7. Use this initializer around a range instead of typing all those numbers in an array literal.

Adding and removing elements is slightly different. Because sets are unordered, the methods to add and remove items look a bit different. Like many other programming languages, Swift supports object literals.

You can instantiate an array with an array literal. In this example, we create the fruits array using an array literal with three elements. It is important to note that, while creating an empty array, we must specify the data type inside the square bracket [] followed by an initializer syntax (). Here, () specifies that the empty array can only store integer data elements. In the code below, we are first checking that the data exists.

We are pretty sure it should exist, because there are no errors and no strange HTTP responses. Second, we check that we can parse the data we receive in the way we expect. If we can, then we return the film summary to the completion handler.

Just in case there is no data to return from the API, we have a fall back plan of the empty array. If it does, then print the current element and the key from the dictionary. Then, add the current element to the dictionary as a key. The insert function inserts the value at the mentioned index and shifts the array elements to the right of it by an offset of 1. In this post, we will learn how to insert characters to a string in swift. Swift string provides a couple of methods to add single or multiple characters to a string.

In this post, we will learn how to use these methods with examples. Set, the old alternative to Array, could maintain each element's uniqueness, but it doesn't maintain or guarantee the order. Run the code in each of the playground pages to check out the results.

Each page creates one of the built-in data structures, then performs commonly-used operations on each. This will help set up a baseline of what the built-in types can do compared to the data structures available in the Swift Collections package. For this reason, long-term storage of ArraySlice instances is discouraged. A slice holds a reference to the entire storage of a larger array, not just to the portion it presents, even after the original array's lifetime ends.

If you need a reversed collection of the same type, you may be able to use the collection's sequence-based or collection-based initializer. For example, to get the reversed version of an array, initialize a newArray instance from the result of this reversed() method. When you need to check whether your collection is empty, use theisEmpty property instead of checking that the count property is equal to zero. For collections that don't conform toRandomAccessCollection, accessing the count property iterates through the elements of the collection.

Just to confuse matters, .count returns the number of items in an array starting from 1, not 0. This makes sense, but might confuse you the first few times you use the method. We'll cover various methods that you can use to add, insert, remove, and change elements in an array. Remember that the compiler can infer the array's type by inspecting the values of the array literal.

Array's have fixed types, just like any other variable in Swift. That means that every element in an array has the same type, that cannot be changed once set. You should take precaution when adding to collection elements of different types.

In such case Swift determines the base class or structure of the elements and use it to infer the collection type. You may want to create an array of instances of derived classes that inherit from the same parent class. In such situation Swift infers that the type of elements is the parent class . ["Coldplay", "Nirvana", "The Verve"] is an array literal that creates an array of String with 3 elements. Alternatively Swift provides an empty array literal [].

The literal should be applied when Swift is able to infer the array type from other places. Let's add a function for parsing the JSON data into an array of Decodable objects and create a data model for these objects. The issue is related to how the code of the Playground is executed, it is snapshot-ing the array in each call to Array.append.

Even so, we end up with a workaround that is two times faster that our initial implementation. Line four adds the current and the last array elements together. In line 3, the for loop, starting at the first element of the loop, sequentially gets each value for the array. Sometimes you need the index of the array, since the code needs multiple indexes. Did something in the .append syntax change recently?

I am also interested in knowing how to add an array of elements using .append. The splice() method changes the original array and returns an array that contains the deleted elements. Shifts the first value of the array off and returns it, shortening the array by one element and moving everything down. All numerical array keys will be modified to start counting from zero while literal keys won't be affected. These return optional values of the type of the array that contain the first and last values of the array respectively.

Well, what is the first or last value of the emptyArray we made earlier? If the array is empty, this returns a nil, otherwise, it will return an optional containing first or last value. Even if the array only has 1 element, it will still return an optional containing the first and last value, which happen to be the same index in that case. You will have to optionally bind, or otherwise somehow unwrap the value to get back the initial Int, like you have to with most optionals.

You can learn more about optionals from my postSwift Optionals – Declaration, Unwrapping, and Binding. The third one is also an initializer, but it lets you create an array with a certain number of elements with an initial value set. In this case, it creates the equivalent of the literal , an array of 5 Integers, all set to 0.

The unordered collection it returns is of type UnorderedView. Deque — pronounced "Deck", derived from Double-Ended Queue — holds a sequence of values, just like an array. Unlike an array, a deque is super efficient at inserting or removing elements from its beginning or its end. An array is only optimized for adding or removing elements at its end. Working with collection types can be hard if it comes to index values, but there are some cool helper methods available. When you work with an array it's very likely that you won't use these methods that much, but they are derived from a lower layer and it's nice to have them.

Mlb National League Wild Card Standings 2021

Sunday was the final day of the regular season in Major League Baseball. This race has been thrilling to watch these last couple of weeks with the two best teams in baseball duking it out for the chance to avoid a one-game playoff. The Giants entered the day in the driver's seat, and leaned on their pitching to keep the wins coming.

Alex Wood tossed six shutout innings while the bullpen followed up with three more, allowing San Francisco to beat Arizona by a slim 1-0 margin. They were trailing the Padres 9-6 heading into the bottom of the eighth, but they hit four homers in that inning to take the lead and ultimately win. The Giants still hold a two-game lead with a magic number of three to clinch. With a win over the Arizona Diamondbacks on Sept. 14, the Los Angeles Dodgers followed suit by clinching a postseason berth for a ninth straight season. The National League field is almost complete, with the NL East race standing as the only unfinished battle. The Dodgers, Brewers, Giants and Cardinals have snagged four playoff spots, while Atlanta's magic number to clinch the NL East is now at one.

As for the American League, the Rays and White Sox have clinched their respective divisions in the American League, and the Astros enter Thursday night with a magic number of one. This is the little division that could, one that seems as though it could be clinched early in the week but was still alive heading into Wednesday. Houston just needed a win or a Seattle loss to finish this one up.

Mlb Standings National League Wild Card The Rays had absolutely no trouble taking down the Astros, winning a 7-0 blowout with four pitchers combining to give up just three hits all night. Meanwhile, Seattle refuses to quit and is just beating up on the Athletics. They finished their second straight sweep over Oakland on Wednesday, winning 4-2 with all of the runs being scored in the final four innings.

St. Louis will almost certainly be the road team for the wild card game, after winning 16 straight games through Sunday. The Cardinals lead the Phillies and Reds by six games for the second wild card spot, with only six games to play. The MLB Standings has a section called the MLB Wild Card Standings. When the playoffs begin, the three division winners from both the American League and National League are given automatic spots into the postseason.

The MLB decided to award playoff opportunities to other teams, starting with one in 1994 and then two in 2012. Each season, two clubs from both the AL and NL will meet in a one-game playoff and the loser is eliminated while the winner advances to face the top seed in the Divisional Series. There could conceivably be a three-way tie for two wild card spots, which would trigger a scenario where teams could choose to be Club A, B or C to determine matchups.

(Club A and B are guaranteed two games, though A gets to play the first one at home. Club C only gets one chance to win into the wild card but gets to play that game at home). Throughout this process, the question of home field advantage is always at the forefront of everyone's mind. All series are made up of odd numbered games and the team with the better regular season record will start the series with two home games before moving to the opponent's ground. If a game five is required, the teams will return to the first team's ground giving them a greater number of games at home and thus the advantage. The Red Sox are in a tight race with the Toronto Blue Jays and New York Yankees for the two wild card spots as all three teams fight to make the Major League Baseball postseason.

Boston was on the outside looking in last week slightly due to percentage points, but the script has flipped after it picked up its fifth straight win. The Sox aren't operating with a lot of room for error as they hold a tenuous one-game lead for the final AL wild card spot coming into Thursday's action. After dropping what almost felt like it should've been a gimme Tuesday against the Orioles, the Sox got back on track in Baltimore Wednesday night with a 6-0 win behind J.D.

New York moved one game ahead of Boston atop the AL wild-card standings with six games remaining for both teams. The Red Sox hold a one-game lead over Toronto for the final AL playoff spot. The Yankees needed two wins to secure a playoff spot for a fifth straight year and home-field advantage in the wild-card game. In a three-way tie, the team with the best regular-season head-to-head record against each of the others will get to host the first tiebreaker game, with the winner advancing automatically to the wild card. The loser would then face the third team the next day, with the winner of that matchup earning the second wild-card spot. The Phillies have stayed alive by winning seven of their past 10 games.

They have beat up on some of the worst teams in baseball during that stretch, and that could continue this weekend as they will host a four-game series against the Pittsburgh Pirates. Meanwhile, the likelihood of a four-way tie for two spots is much less likely at this point and also much more straightforward. In this case, there would simply be a standard playoff (e.g., Club A vs. Club B, Club C vs. Club D) with the two winners playing in the one-game wild card.

Again, Boston could get an advantage in a tie situation because of its head-to-head success with each team. Right now, the New York Yankees and Red Sox hold the two wild card spots in the American League. But literally everything about those standings can change in the next few games with four teams — the Yankees, Red Sox, Toronto Blue Jays and Seattle Mariners — all sitting within two games of each other. Heading into the final game of their series in Toronto Thursday, the Yankees have a one-game lead atop the wild-card standings. The Red Sox are the last team in the latest playoff picture, barely clinging onto the second wild-card spot.

Seattle is a half-game behind Boston, and Toronto is a full game behind the Red Sox. The remaining gate receipts are divided between the two leagues, the Major League Baseball Commission and the teams involved. This division of the earnings was put in place in an effort to discourage players from throwing an early game in order to extend the series.

The Yankees, Red Sox, Blue Jays and Mariners came into the final day of the 2021 MLB regular season vying for the two spots with multiple tiebreaker scenarios very much in play. But the Yankees and Red Sox ultimately secured the AL wild-card spots with a walk-off win over the Rays and a come-from-behind win over the Nationals, respectively, eliminating the Blue Jays and Mariners. The second-place team in the NL West will have the second-best record in the National League, and likely the majors, but will have to host the wild card game to even get into postseason series play.

This is the part where fans of teams in playoff spots — or those just outside — really start to get out the calculators. The magic number is the combination of a team's wins and/or losses by its closest competitor needed to clinch a playoff spot. If the Sox ended up in a three-way tie for the second wild card spot, however, things get more complex. Being Club A or B would mean having to win two games to advance while Club C, despite having to go on the road, only has to play and win once.

With a record away from Fenway Park, Boston might be tempted to take those odds. Assuming the Red Sox are one of those teams, they would have the first choice of whether to be Club A, B or C as they hold head-to-head tiebreakers over all the other teams. So Boston could be guaranteed two chances to get into the wild card and would host the first game at Fenway Park if they chose to be A.

All they'd have to do is win once and get in in that case. If they lost, they could go on the road to face Club C with a shot to win into the wild card game. However, ESPN notes there's still a solid chance of a two-team tie for the second wild card spot, which would trigger a Game 163 to see who gets to play in the actual wild card game. The American League wild-card race couldn't be any tighter with four games left in the 2021 MLB regular season.

Four teams are separated by just two games as they fight for the AL's final two postseason berths. On the road to the World Series, Major League Baseball has devised a playoff system which insures that you can combine your love of summer with all the joy of doing your taxes. What started as a simple series of baseball games to decide whether the champions of the National League or the champions of the American League were the overall best team in the country. In fact, prior to 1904, each league simply sent the team with the best record, without any sort of playoff to earn that spot.

If the Yankees beat the Rays on Sunday, they are guaranteed one of the two wild-card positions. If a Yankees victory is combined with a Red Sox loss at Washington, the Yankees will play the winner of the second wild card at Yankee Stadium on Tuesday night. If the Yankees and the Red Sox both win on Sunday, Boston will host the Yankees in the wild-card game by dint of its 10-9 regular-season advantage over its rival. Wins by the Yankees and the Red Sox would give both teams wild-card spots in the playoffs.

A loss by either team, or both, could extend the regular season. The Reds looked like the favorite for that second spot about a month ago, but they have lost 16 of 23 games since Aug. 28. That stretch included series losses to also-ran teams such as the Miami Marlins, Detroit Tigers, Chicago Cubs and Pittsburgh Pirates.

They will face another sub-.500 team in the Washington Nationals this weekend. Of course, Cincy dropped the first game of that four-game series on Thursday, 3-2. Update, Saturday AM — The Phillies picked up a half game on the Braves since Friday and have two games against the Pirates this weekend. The next series against the Braves will likely decide the division and we could see the two teams tied or Phillies ahead by the end of the weekend.

Francisco Lindor homered in the first for New York (73-82), who led the NL East for 114 days but are assured of a sub-.500 season after losing for the 13th time in 16 games. Carrasco (1-4) surrendered five runs on seven hits and four walks while striking out three over four innings. If you're a baseball fan, you've probably heard the phrase "magic number." The term is used to explain how close a team is to winning its division or clinching a spot in the postseason. The Toronto Blue Jays will be among the teams allowing fans at games, but that's where normalcy ends for them. They will be playing home games at their spring training facility in Dunedin, Florida with limited-capacity crowds in attendance, to start the season.

They're hopeful they'll be allowed to return to Toronto sometime this summer. Four teams will advance from division play to the league championship series. Following division play, the American League Championship Series will begin on Friday, Oct. 15, and the National League Championship Series will begin on Saturday, Oct. 16. These series are best of seven and will determine who is competing for the 2021 World Series title. Game 1 of the World Series is scheduled for Tuesday, Oct. 26.

Brandon Lowe hit three homers and knocked in seven runs as Tampa Bay reached 100 regular-season wins for the first time in franchise history. The Rays established themselves as the elite team in the league as the rest of the A.L. The Detroit Tigers have the young pitching and the right manager to at least be competitive. But it's going to take a very aggressive offseason for this team to have a shot at the MLB playoffs. Detroit upgraded at catcher with Tucker Barnhart and that could be just the start. Add Carlos Correa and a front-line starter via free agency into the mix, along with top prospect Spencer Torkelson, October baseball might be possible.

Dodgers starter Walker Buehler struck out 11 Brewers hitters in five innings. He allowed three hits, one earned run and one walk on 79 pitches. The Brewers clinched the NL Central on Sunday, making the playoffs for the fourth straight year, a first in franchise history. Milwaukee is locked into the No. 2 seed in the NL, and will host the NL East winner in the first two games of the NLDS. This is actually a fairly simple scenario, in which a four-team bracket is created to find the final two playoff teams. Home field would be determined by the combined winning percentage against the other three teams.

Meanwhile, the Braves will continue their road trip out west, where they have won four of their past five games. They will battle the struggling San Diego Padres for three games this weekend. Well, three and a half, really; the teams will finish a previously suspended game on Friday, beginning in the bottom of the fifth inning.

The Wild Card Standings only show 12 teams from each league as the division winners are omitted, since they receive the automatic spots. Similar to the MLB standings, the columns shown are Win, Loss, Percent and GB . The Home and Away records, and Streak feature is not included in the MLB WC Standings. Franco, 20, doubled in his first at-bat to push his streak to 41 consecutive games reaching base. He is two games from tying Frank Robinson's 43-game streak from 1956, the longest ever by a player under 21.

The American League East champion Rays tied the franchise record for most wins in a season set in 2008 and are 38 games over .500 for the first time ever. The MLB 2021 regular season has entered its final day, and several postseason spots are on the line. After Wednesday's loss to Boston, the Mets dropped to 7 1/2 games behind the first-place Braves, pending the result of Atlanta-Arizona.

The Mets can be eliminated from postseason contention as soon as Friday, when they begin a three-game series in Milwaukee. The other ALDS series will be between the Tampa Bay Rays and the winner of the Red Sox-Yankees wild card game. And as Boston stumbled throughout July and into August, the competition in the AL East just kept getting better.

The Rays have gone 19-8 since the Red Sox took that 4.5 game lead in the division, and now sit four games ahead of the Red Sox. Those 19 wins include a three-game sweep over Boston in St. Pete, which played a big part in Tampa Bay's 8.5 game swing over the last month-plus. But Toronto and Seattle are still alive, and the wildest possibility is a four-way tie. For that to happen, the Yankees and the Red Sox need to lose, and the Blue Jays and the Mariners need to win. Then there would be two tiebreaker games on Monday, with the four teams choosing or receiving one of four designations to determine who plays whom, and where.

Boone has uttered that sentence in some form several times this season, and on some notable occasions the team responded well. But Saturday's loss, combined with victories by Boston, Toronto and Seattle, left the suddenly stumbling Yankees in danger of needing to play an extra game just to win a wild-card berth. Only a few days ago, one had already seemed in their grasp.