diff --git a/base/math.jl b/base/math.jl index 1f594e8f677b6..2ded4067562d9 100644 --- a/base/math.jl +++ b/base/math.jl @@ -120,6 +120,9 @@ function cospi(z::Complex) pizi = pi*zi complex(cospi(zr)*cosh(pizi), -sinpi(zr)*sinh(pizi)) end +@vectorize_1arg Number sinpi +@vectorize_1arg Number cospi + sinc(x::Number) = x==0 ? one(x) : oftype(x,sinpi(x)/(pi*x)) sinc(x::Integer) = x==0 ? one(x) : zero(x) @@ -179,6 +182,7 @@ function sind(x::Real) return sin(degrees2radians(rx)) end end +@vectorize_1arg Real sind function cosd(x::Real) if isinf(x) @@ -205,8 +209,10 @@ function cosd(x::Real) return cos(degrees2radians(rx)) end end +@vectorize_1arg Real cosd tand(x::Real) = sind(x) / cosd(x) +@vectorize_1arg Real tand for (fd, f) in ((:sind, :sin), (:cosd, :cos), (:tand, :tan)) @eval begin diff --git a/doc/helpdb.jl b/doc/helpdb.jl index a2a4340c8733c..df3bfc93970f6 100644 --- a/doc/helpdb.jl +++ b/doc/helpdb.jl @@ -4,6 +4,7 @@ ("Getting Around","Base","exit","exit([code]) + Quit (or control-D at the prompt). The default exit code is zero, indicating that the processes completed successfully. @@ -11,24 +12,28 @@ ("Getting Around","Base","quit","quit() + Calls \"exit(0)\". "), ("Getting Around","Base","atexit","atexit(f) + Register a zero-argument function to be called at exit. "), ("Getting Around","Base","isinteractive","isinteractive() + Determine whether Julia is running an interactive session. "), ("Getting Around","Base","whos","whos([Module,] [pattern::Regex]) + Print information about global variables in a module, optionally restricted to those matching \"pattern\". @@ -36,6 +41,7 @@ ("Getting Around","Base","edit","edit(file::String[, line]) + Edit a file optionally providing a line number to edit at. Returns to the julia prompt when you quit the editor. If the file name ends in \".jl\" it is reloaded when the editor closes the file. @@ -44,6 +50,7 @@ ("Getting Around","Base","edit","edit(function[, types]) + Edit the definition of a function, optionally specifying a tuple of types to indicate which method to edit. When the editor exits, the source file containing the definition is reloaded. @@ -52,6 +59,7 @@ ("Getting Around","Base","require","require(file::String...) + Load source files once, in the context of the \"Main\" module, on every active node, searching the system-wide \"LOAD_PATH\" for files. \"require\" is considered a top-level operation, so it sets @@ -64,6 +72,7 @@ ("Getting Around","Base","reload","reload(file::String) + Like \"require\", except forces loading of files regardless of whether they have been loaded before. Typically used when interactively developing libraries. @@ -72,6 +81,7 @@ ("Getting Around","Base","include","include(path::String) + Evaluate the contents of a source file in the current context. During including, a task-local include path is set to the directory containing the file. Nested calls to \"include\" will search @@ -83,7 +93,9 @@ "), -("Getting Around","Base","include_string","include_string(code::String) +("Getting +Around","Base","include_string","include_string(code::String) + Like \"include\", except reads code from the given string rather than from a file. Since there is no file path involved, no path @@ -93,24 +105,28 @@ ("Getting Around","Base","help","help(name) + Get help for a function. \"name\" can be an object or a string. "), ("Getting Around","Base","apropos","apropos(string) + Search documentation for functions related to \"string\". "), ("Getting Around","Base","which","which(f, args...) + Show which method of \"f\" will be called for the given arguments. "), ("Getting Around","Base","@which","@which() + Evaluates the arguments to the function call, determines their types, and calls the \"which\" function on the resulting expression @@ -118,11 +134,14 @@ ("Getting Around","Base","methods","methods(f) + Show all methods of \"f\" with their argument types. "), -("Getting Around","Base","methodswith","methodswith(typ[, showparents]) +("Getting Around","Base","methodswith","methodswith(typ[, +showparents]) + Show all methods with an argument of type \"typ\". If optional \"showparents\" is \"true\", also show arguments with a parent type @@ -132,12 +151,14 @@ ("Getting Around","Base","@show","@show() + Show an expression and result, returning the result "), ("Getting Around","Base","versioninfo","versioninfo([verbose::Bool]) + Print information about the version of Julia in use. If the \"verbose\" argument is true, detailed system information is shown as well. @@ -146,6 +167,7 @@ ("All Objects","Base","is","is(x, y) + Determine whether \"x\" and \"y\" are identical, in the sense that no program could distinguish them. Compares mutable objects by address in memory, and compares immutable objects (such as numbers) @@ -156,12 +178,14 @@ ("All Objects","Base","isa","isa(x, type) + Determine whether \"x\" is of the given type. "), ("All Objects","Base","isequal","isequal(x, y) + True if and only if \"x\" and \"y\" have the same contents. Loosely speaking, this means \"x\" and \"y\" would look the same when printed. This is the default comparison function used by hash @@ -176,6 +200,7 @@ ("All Objects","Base","isless","isless(x, y) + Test whether \"x\" is less than \"y\". Provides a total order consistent with \"isequal\". Values that are normally unordered, such as \"NaN\", are ordered in an arbitrary but consistent @@ -188,18 +213,21 @@ ("All Objects","Base","typeof","typeof(x) + Get the concrete type of \"x\". "), ("All Objects","Base","tuple","tuple(xs...) + Construct a tuple of the given objects. "), ("All Objects","Base","ntuple","ntuple(n, f::Function) + Create a tuple of length \"n\", computing each element as \"f(i)\", where \"i\" is the index of the element. @@ -207,6 +235,7 @@ ("All Objects","Base","object_id","object_id(x) + Get a unique integer id for \"x\". \"object_id(x)==object_id(y)\" if and only if \"is(x,y)\". @@ -214,6 +243,7 @@ ("All Objects","Base","hash","hash(x) + Compute an integer hash code such that \"isequal(x,y)\" implies \"hash(x)==hash(y)\". @@ -221,6 +251,7 @@ ("All Objects","Base","finalizer","finalizer(x, function) + Register a function \"f(x)\" to be called when there are no program-accessible references to \"x\". The behavior of this function is unpredictable if \"x\" is of a bits type. @@ -229,6 +260,7 @@ ("All Objects","Base","copy","copy(x) + Create a shallow copy of \"x\": the outer structure is copied, but not all internal values. For example, copying an array produces a new array with identically-same elements as the original. @@ -237,6 +269,7 @@ ("All Objects","Base","deepcopy","deepcopy(x) + Create a deep copy of \"x\": everything is copied recursively, resulting in a fully independent object. For example, deep-copying an array produces a new array whose elements are deep-copies of the @@ -260,6 +293,7 @@ ("All Objects","Base","isdefined","isdefined(object, index | symbol) + Tests whether an assignable location is defined. The arguments can be an array and index, a composite object and field name (as a symbol), or a module and a symbol. @@ -268,12 +302,14 @@ ("All Objects","Base","convert","convert(type, x) + Try to convert \"x\" to the given type. "), ("All Objects","Base","promote","promote(xs...) + Convert all arguments to their common promotion type (if any), and return them all (as a tuple). @@ -281,24 +317,28 @@ ("All Objects","Base","oftype","oftype(x, y) + Convert \"y\" to the type of \"x\". "), ("All Objects","Base","identity","identity(x) + The identity function. Returns its argument. "), ("Types","Base","super","super(T::DataType) + Return the supertype of DataType T "), ("Types","Base","subtype","subtype(type1, type2) + True if and only if all values of \"type1\" are also of \"type2\". Can also be written using the \"<:\" infix operator as \"type1 <: type2\". @@ -307,12 +347,14 @@ ("Types","Base","<:","<:(T1, T2) + Subtype operator, equivalent to \"subtype(T1,T2)\". "), ("Types","Base","subtypes","subtypes(T::DataType) + Return a list of immediate subtypes of DataType T. Note that all currently loaded subtypes are included, including those not visible in the current module. @@ -321,6 +363,7 @@ ("Types","Base","subtypetree","subtypetree(T::DataType) + Return a nested list of all subtypes of DataType T. Note that all currently loaded subtypes are included, including those not visible in the current module. @@ -329,18 +372,21 @@ ("Types","Base","typemin","typemin(type) + The lowest value representable by the given (real) numeric type. "), ("Types","Base","typemax","typemax(type) + The highest value representable by the given (real) numeric type. "), ("Types","Base","realmin","realmin(type) + The smallest in absolute value non-subnormal value representable by the given floating-point type @@ -348,6 +394,7 @@ ("Types","Base","realmax","realmax(type) + The highest finite value representable by the given floating-point type @@ -355,6 +402,7 @@ ("Types","Base","maxintfloat","maxintfloat(type) + The largest integer losslessly representable by the given floating- point type @@ -362,6 +410,7 @@ ("Types","Base","sizeof","sizeof(type) + Size, in bytes, of the canonical binary representation of the given type, if any. @@ -369,6 +418,7 @@ ("Types","Base","eps","eps([type]) + The distance between 1.0 and the next larger representable floating-point value of \"type\". The only types that are sensible arguments are \"Float32\" and \"Float64\". If \"type\" is omitted, @@ -378,6 +428,7 @@ ("Types","Base","eps","eps(x) + The distance between \"x\" and the next larger representable floating-point value of the same type as \"x\". @@ -385,6 +436,7 @@ ("Types","Base","promote_type","promote_type(type1, type2) + Determine a type big enough to hold values of each argument type without loss, whenever possible. In some cases, where no type exists which to which both types can be promoted losslessly, some @@ -396,6 +448,7 @@ ("Types","Base","promote_rule","promote_rule(type1, type2) + Specifies what type should be used by \"promote\" when given values of types \"type1\" and \"type2\". This function should not be called directly, but should have definitions added to it for new @@ -405,6 +458,7 @@ ("Types","Base","getfield","getfield(value, name::Symbol) + Extract a named field from a value of composite type. The syntax \"a.b\" calls \"getfield(a, :b)\", and the syntax \"a.(b)\" calls \"getfield(a, b)\". @@ -413,6 +467,7 @@ ("Types","Base","setfield","setfield(value, name::Symbol, x) + Assign \"x\" to a named field in \"value\" of composite type. The syntax \"a.b = c\" calls \"setfield(a, :b, c)\", and the syntax \"a.(b) = c\" calls \"setfield(a, b, c)\". @@ -421,6 +476,7 @@ ("Types","Base","fieldoffsets","fieldoffsets(type) + The byte offset of each field of a type relative to the data start. For example, we could use it in the following manner to summarize information about a struct type: @@ -432,6 +488,7 @@ ("Types","Base","fieldtype","fieldtype(value, name::Symbol) + Determine the declared type of a named field in a value of composite type. @@ -439,6 +496,7 @@ ("Types","Base","isimmutable","isimmutable(v) + True if value \"v\" is immutable. See *Immutable Composite Types* for a discussion of immutability. @@ -446,6 +504,7 @@ ("Types","Base","isbits","isbits(T) + True if \"T\" is a \"plain data\" type, meaning it is immutable and contains no references to other values. Typical examples are numeric types such as \"Uint8\", \"Float64\", and @@ -455,6 +514,7 @@ ("Types","Base","isleaftype","isleaftype(T) + Determine whether \"T\" is a concrete type that can have instances, meaning its only subtypes are itself and \"None\" (but \"T\" itself is not \"None\"). @@ -463,18 +523,22 @@ ("Types","Base","typejoin","typejoin(T, S) + Compute a type that contains both \"T\" and \"S\". "), ("Types","Base","typeintersect","typeintersect(T, S) + Compute a type that contains the intersection of \"T\" and \"S\". Usually this will be the smallest such type or one close to it. "), -("Generic Functions","Base","method_exists","method_exists(f, tuple) -> Bool +("Generic Functions","Base","method_exists","method_exists(f, tuple) +-> Bool + Determine whether the given generic function has a method matching the given tuple of argument types. @@ -485,6 +549,7 @@ ("Generic Functions","Base","applicable","applicable(f, args...) + Determine whether the given generic function has a method applicable to the given arguments. @@ -492,6 +557,7 @@ ("Generic Functions","Base","invoke","invoke(f, (types...), args...) + Invoke a method for the given generic function matching the specified types (as a tuple), on the specified arguments. The arguments must be compatible with the specified types. This allows @@ -504,6 +570,7 @@ ("Generic Functions","Base","|>","|>(x, f) + Applies a function to the preceding argument which allows for easy function chaining. @@ -513,18 +580,21 @@ ("Syntax","Base","eval","eval(expr::Expr) + Evaluate an expression and return the value. "), ("Syntax","Base","@eval","@eval() + Evaluate an expression and return the value. "), ("Syntax","Base","evalfile","evalfile(path::String) + Evaluate all expressions in the given file, and return the value of the last one. No other processing (path searching, fetching from node 1, etc.) is performed. @@ -533,6 +603,7 @@ ("Syntax","Base","esc","esc(e::ANY) + Only valid in the context of an Expr returned from a macro. Prevents the macro hygine pass from turning embedded variables into gensym variables. See the *Macros* section of the Metaprogramming @@ -542,6 +613,7 @@ ("Syntax","Base","gensym","gensym([tag]) + Generates a symbol which will not conflict with other variable names. @@ -549,6 +621,7 @@ ("Syntax","Base","@gensym","@gensym() + Generates a gensym symbol for a variable. For example, *@gensym x y* is transformed into *x = gensym(\"x\"); y = gensym(\"y\")*. @@ -556,6 +629,7 @@ ("Syntax","Base","parse","parse(str[, start[, greedy[, err]]]) + Parse the expression string and return an expression (which could later be passed to eval for execution). Start is the index of the first character to start parsing (default is 1). If greedy is true @@ -568,18 +642,21 @@ ("Iteration","Base","start","start(iter) -> state + Get initial iteration state for an iterable object "), ("Iteration","Base","done","done(iter, state) -> Bool + Test whether we are done iterating "), ("Iteration","Base","next","next(iter, state) -> item, state + For a given iterable object and iteration state, return the current item and the next iteration state @@ -587,6 +664,7 @@ ("Iteration","Base","zip","zip(iters...) + For a set of iterable objects, returns an iterable of tuples, where the \"i\"th tuple contains the \"i\"th component of each input iterable. @@ -598,6 +676,7 @@ ("Iteration","Base","enumerate","enumerate(iter) + Return an iterator that yields \"(i, x)\" where \"i\" is an index starting at 1, and \"x\" is the \"ith\" value from the given iterator. @@ -606,11 +685,14 @@ ("General Collections","Base","isempty","isempty(collection) -> Bool + Determine whether a collection is empty (has no elements). "), -("General Collections","Base","empty!","empty!(collection) -> collection +("General Collections","Base","empty!","empty!(collection) -> +collection + Remove all elements from a collection. @@ -618,6 +700,7 @@ ("General Collections","Base","length","length(collection) -> Integer + For ordered, indexable collections, the maximum index \"i\" for which \"getindex(collection, i)\" is valid. For unordered collections, the number of elements. @@ -626,6 +709,7 @@ ("General Collections","Base","endof","endof(collection) -> Integer + Returns the last index of the collection. **Example**: \"endof([1,2,4]) = 3\" @@ -634,12 +718,14 @@ ("Iterable Collections","Base","contains","contains(itr, x) -> Bool + Determine whether a collection contains the given value, \"x\". "), ("Iterable Collections","Base","indexin","indexin(a, b) + Returns a vector containing the highest index in \"b\" for each value in \"a\" that is a member of \"b\" . The output vector contains 0 wherever \"a\" is not a member of \"b\". @@ -648,6 +734,7 @@ ("Iterable Collections","Base","findin","findin(a, b) + Returns the indices of elements in collection \"a\" that appear in collection \"b\" @@ -655,6 +742,7 @@ ("Iterable Collections","Base","unique","unique(itr) + Returns an array containing only the unique elements of the iterable \"itr\", in the order that the first of each set of equivalent elements originally appears. @@ -663,6 +751,7 @@ ("Iterable Collections","Base","reduce","reduce(op, v0, itr) + Reduce the given collection with the given operator, i.e. accumulate \"v = op(v,elt)\" for each element, where \"v\" starts as \"v0\". Reductions for certain commonly-used operators are @@ -678,48 +767,56 @@ ("Iterable Collections","Base","max","max(itr) + Returns the largest element in a collection "), ("Iterable Collections","Base","min","min(itr) + Returns the smallest element in a collection "), ("Iterable Collections","Base","indmax","indmax(itr) -> Integer + Returns the index of the maximum element in a collection "), ("Iterable Collections","Base","indmin","indmin(itr) -> Integer + Returns the index of the minimum element in a collection "), ("Iterable Collections","Base","findmax","findmax(itr) -> (x, index) + Returns the maximum element and its index "), ("Iterable Collections","Base","findmin","findmin(itr) -> (x, index) + Returns the minimum element and its index "), ("Iterable Collections","Base","sum","sum(itr) + Returns the sum of all elements in a collection "), ("Iterable Collections","Base","sum","sum(f, itr) + Sum the results of calling function \"f\" on each element of \"itr\". @@ -727,24 +824,28 @@ ("Iterable Collections","Base","prod","prod(itr) + Returns the product of all elements of a collection "), ("Iterable Collections","Base","any","any(itr) -> Bool + Test whether any elements of a boolean collection are true "), ("Iterable Collections","Base","all","all(itr) -> Bool + Test whether all elements of a boolean collection are true "), ("Iterable Collections","Base","count","count(p, itr) -> Integer + Count the number of elements in \"itr\" for which predicate \"p\" is true. @@ -752,6 +853,7 @@ ("Iterable Collections","Base","any","any(p, itr) -> Bool + Determine whether any element of \"itr\" satisfies the given predicate. @@ -759,6 +861,7 @@ ("Iterable Collections","Base","all","all(p, itr) -> Bool + Determine whether all elements of \"itr\" satisfy the given predicate. @@ -766,6 +869,7 @@ ("Iterable Collections","Base","map","map(f, c) -> collection + Transform collection \"c\" by applying \"f\" to each element. **Example**: \"map((x) -> x * 2, [1, 2, 3]) = [2, 4, 6]\" @@ -774,12 +878,14 @@ ("Iterable Collections","Base","map!","map!(function, collection) + In-place version of \"map()\". "), ("Iterable Collections","Base","mapreduce","mapreduce(f, op, itr) + Applies function \"f\" to each element in \"itr\" and then reduces the result using the binary function \"op\". @@ -793,24 +899,28 @@ ("Iterable Collections","Base","first","first(coll) + Get the first element of an ordered collection. "), ("Iterable Collections","Base","last","last(coll) + Get the last element of an ordered collection. "), ("Iterable Collections","Base","step","step(r) + Get the step size of a \"Range\" object. "), ("Iterable Collections","Base","collect","collect(collection) + Return an array of all items in a collection. For associative collections, returns (key, value) tuples. @@ -818,12 +928,15 @@ ("Iterable Collections","Base","issubset","issubset(a, b) + Determine whether every element of \"a\" is also in \"b\", using the \"contains\" function. "), -("Indexable Collections","Base","getindex","getindex(collection, key...) +("Indexable Collections","Base","getindex","getindex(collection, +key...) + Retrieve the value(s) stored at the given key or index within a collection. The syntax \"a[i,j,...]\" is converted by the compiler @@ -831,7 +944,9 @@ "), -("Indexable Collections","Base","setindex!","setindex!(collection, value, key...) +("Indexable Collections","Base","setindex!","setindex!(collection, +value, key...) + Store the given value at the given key or index within a collection. The syntax \"a[i,j,...] = x\" is converted by the @@ -841,24 +956,29 @@ ("Associative Collections","Base","Dict{K,V}","Dict{K,V}() + Construct a hashtable with keys of type K and values of type V "), ("Associative Collections","Base","haskey","haskey(collection, key) + Determine whether a collection has a mapping for a given key. "), ("Associative Collections","Base","get","get(collection, key, default) + Return the value stored for the given key, or the given default value if no mapping for the key is present. "), -("Associative Collections","Base","getkey","getkey(collection, key, default) +("Associative Collections","Base","getkey","getkey(collection, key, +default) + Return the key matching argument \"key\" if one exists in \"collection\", otherwise return \"default\". @@ -867,12 +987,15 @@ ("Associative Collections","Base","delete!","delete!(collection, key) + Delete the mapping for the given key in a collection, and return the colection. "), -("Associative Collections","Base","pop!","pop!(collection, key[, default]) +("Associative Collections","Base","pop!","pop!(collection, key[, +default]) + Delete and return the mapping for \"key\" if it exists in \"collection\", otherwise return \"default\", or throw an error if @@ -882,6 +1005,7 @@ ("Associative Collections","Base","keys","keys(collection) + Return an iterator over all keys in a collection. \"collect(keys(d))\" returns an array of keys. @@ -889,31 +1013,40 @@ ("Associative Collections","Base","values","values(collection) + Return an iterator over all values in a collection. \"collect(values(d))\" returns an array of values. "), -("Associative Collections","Base","merge","merge(collection, others...) +("Associative Collections","Base","merge","merge(collection, +others...) + Construct a merged collection from the given collections. "), -("Associative Collections","Base","merge!","merge!(collection, others...) +("Associative Collections","Base","merge!","merge!(collection, +others...) + Update collection with pairs from the other collections "), -("Associative Collections","Base","filter","filter(function, collection) +("Associative Collections","Base","filter","filter(function, +collection) + Return a copy of collection, removing (key, value) pairs for which function is false. "), -("Associative Collections","Base","filter!","filter!(function, collection) +("Associative Collections","Base","filter!","filter!(function, +collection) + Update collection, removing (key, value) pairs for which function is false. @@ -922,6 +1055,7 @@ ("Associative Collections","Base","eltype","eltype(collection) + Returns the type tuple of the (key,value) pairs contained in collection. @@ -929,6 +1063,7 @@ ("Associative Collections","Base","sizehint","sizehint(s, n) + Suggest that collection \"s\" reserve capacity for at least \"n\" elements. This can improve performance. @@ -936,12 +1071,14 @@ ("Set-Like Collections","Base","add!","add!(collection, key) + Add an element to a set-like collection. "), ("Set-Like Collections","Base","Set","Set(x...) + Construct a \"Set\" with the given elements. Should be used instead of \"IntSet\" for sparse integer sets, or for sets of arbitrary objects. @@ -950,6 +1087,7 @@ ("Set-Like Collections","Base","IntSet","IntSet(i...) + Construct a sorted set of the given integers. Implemented as a bit string, and therefore designed for dense integer sets. If the set will be sparse (for example holding a single very large integer), @@ -959,6 +1097,7 @@ ("Set-Like Collections","Base","union","union(s1, s2...) + Construct the union of two or more sets. Maintains order with arrays. @@ -966,12 +1105,14 @@ ("Set-Like Collections","Base","union!","union!(s, iterable) + Union each element of \"iterable\" into set \"s\" in-place. "), ("Set-Like Collections","Base","intersect","intersect(s1, s2...) + Construct the intersection of two or more sets. Maintains order and multiplicity of the first argument for arrays and ranges. @@ -979,6 +1120,7 @@ ("Set-Like Collections","Base","setdiff","setdiff(s1, s2) + Construct the set of elements in \"s1\" but not \"s2\". Maintains order with arrays. @@ -986,12 +1128,14 @@ ("Set-Like Collections","Base","setdiff!","setdiff!(s, iterable) + Remove each element of \"iterable\" from set \"s\" in-place. "), ("Set-Like Collections","Base","symdiff","symdiff(s1, s2...) + Construct the symmetric difference of elements in the passed in sets or arrays. Maintains order with arrays. @@ -999,6 +1143,7 @@ ("Set-Like Collections","Base","symdiff!","symdiff!(s, n) + IntSet s is destructively modified to toggle the inclusion of integer \"n\". @@ -1006,6 +1151,7 @@ ("Set-Like Collections","Base","symdiff!","symdiff!(s, itr) + For each element in \"itr\", destructively toggle its inclusion in set \"s\". @@ -1013,6 +1159,7 @@ ("Set-Like Collections","Base","symdiff!","symdiff!(s1, s2) + Construct the symmetric difference of IntSets \"s1\" and \"s2\", storing the result in \"s1\". @@ -1020,18 +1167,21 @@ ("Set-Like Collections","Base","complement","complement(s) + Returns the set-complement of IntSet s. "), ("Set-Like Collections","Base","complement!","complement!(s) + Mutates IntSet s into its set-complement. "), ("Set-Like Collections","Base","intersect!","intersect!(s1, s2) + Intersects IntSets s1 and s2 and overwrites the set s1 with the result. If needed, s1 will be expanded to the size of s2. @@ -1039,23 +1189,28 @@ ("Set-Like Collections","Base","issubset","issubset(A, S) -> Bool + True if \"A ⊆ S\" (A is a subset of or equal to S) "), ("Dequeues","Base","push!","push!(collection, item) -> collection + Insert an item at the end of a collection. "), ("Dequeues","Base","pop!","pop!(collection) -> item + Remove the last item in a collection and return it. "), -("Dequeues","Base","unshift!","unshift!(collection, item) -> collection +("Dequeues","Base","unshift!","unshift!(collection, item) -> +collection + Insert an item at the beginning of a collection. @@ -1063,17 +1218,21 @@ ("Dequeues","Base","shift!","shift!(collection) -> item + Remove the first item in a collection. "), ("Dequeues","Base","insert!","insert!(collection, index, item) + Insert an item at the given index. "), -("Dequeues","Base","splice!","splice!(collection, index[, replacement]) -> item +("Dequeues","Base","splice!","splice!(collection, index[, +replacement]) -> item + Remove the item at the given index, and return the removed item. Subsequent items are shifted down to fill the resulting gap. If @@ -1082,7 +1241,9 @@ "), -("Dequeues","Base","splice!","splice!(collection, range[, replacement]) -> items +("Dequeues","Base","splice!","splice!(collection, range[, +replacement]) -> items + Remove items in the specified index range, and return a collection containing the removed items. Subsequent items are shifted down to @@ -1093,18 +1254,23 @@ ("Dequeues","Base","resize!","resize!(collection, n) -> collection + Resize collection to contain \"n\" elements. "), -("Dequeues","Base","append!","append!(collection, items) -> collection. +("Dequeues","Base","append!","append!(collection, items) -> +collection. + Add the elements of \"items\" to the end of a collection. \"append!([1],[2,3]) => [1,2,3]\" "), -("Dequeues","Base","prepend!","prepend!(collection, items) -> collection +("Dequeues","Base","prepend!","prepend!(collection, items) -> +collection + Insert the elements of \"items\" to the beginning of a collection. \"prepend!([3],[1,2]) => [1,2,3]\" @@ -1113,18 +1279,21 @@ ("Strings","Base","length","length(s) + The number of characters in string \"s\". "), ("Strings","Base","sizeof","sizeof(s::String) + The number of bytes in string \"s\". "), ("Strings","Base","*","*(s, t) + Concatenate strings. **Example**: \"\"Hello \" * \"world\" == \"Hello world\"\" @@ -1133,6 +1302,7 @@ ("Strings","Base","^","^(s, n) + Repeat string \"s\" \"n\" times. **Example**: \"\"Julia \"^3 == \"Julia Julia Julia \"\" @@ -1141,18 +1311,21 @@ ("Strings","Base","string","string(xs...) + Create a string from any values using the \"print\" function. "), ("Strings","Base","repr","repr(x) + Create a string from any value using the \"show\" function. "), ("Strings","Base","bytestring","bytestring(::Ptr{Uint8}) + Create a string from the address of a C (0-terminated) string. A copy is made; the ptr can be safely freed. @@ -1160,6 +1333,7 @@ ("Strings","Base","bytestring","bytestring(s) + Convert a string to a contiguous byte array representation appropriate for passing it to C functions. @@ -1167,12 +1341,14 @@ ("Strings","Base","ascii","ascii(::Array{Uint8, 1}) + Create an ASCII string from a byte array. "), ("Strings","Base","ascii","ascii(s) + Convert a string to a contiguous ASCII string (all characters must be valid ASCII characters). @@ -1180,12 +1356,14 @@ ("Strings","Base","utf8","utf8(::Array{Uint8, 1}) + Create a UTF-8 string from a byte array. "), ("Strings","Base","utf8","utf8(s) + Convert a string to a contiguous UTF-8 string (all characters must be valid UTF-8 characters). @@ -1193,6 +1371,7 @@ ("Strings","Base","is_valid_ascii","is_valid_ascii(s) -> Bool + Returns true if the string or byte vector is valid ASCII, false otherwise. @@ -1200,6 +1379,7 @@ ("Strings","Base","is_valid_utf8","is_valid_utf8(s) -> Bool + Returns true if the string or byte vector is valid UTF-8, false otherwise. @@ -1207,6 +1387,7 @@ ("Strings","Base","is_valid_char","is_valid_char(c) -> Bool + Returns true if the given char or integer is a valid Unicode code point. @@ -1214,12 +1395,15 @@ ("Strings","Base","ismatch","ismatch(r::Regex, s::String) -> Bool + Test whether a string contains a match of the given regular expression. "), -("Strings","Base","match","match(r::Regex, s::String[, idx::Integer[, addopts]]) +("Strings","Base","match","match(r::Regex, s::String[, idx::Integer[, +addopts]]) + Search for the first match of the regular expression \"r\" in \"s\" and return a RegexMatch object containing the match, or nothing if @@ -1229,7 +1413,9 @@ "), -("Strings","Base","eachmatch","eachmatch(r::Regex, s::String[, overlap::Bool=false]) +("Strings","Base","eachmatch","eachmatch(r::Regex, s::String[, +overlap::Bool=false]) + Search for all matches of a the regular expression \"r\" in \"s\" and return a iterator over the matches. If overlap is true, the @@ -1238,7 +1424,9 @@ "), -("Strings","Base","matchall","matchall(r::Regex, s::String[, overlap::Bool=false]) -> Vector{String} +("Strings","Base","matchall","matchall(r::Regex, s::String[, +overlap::Bool=false]) -> Vector{String} + Return a vector of the matching substrings from eachmatch. @@ -1246,6 +1434,7 @@ ("Strings","Base","lpad","lpad(string, n, p) + Make a string at least \"n\" characters long by padding on the left with copies of \"p\". @@ -1253,6 +1442,7 @@ ("Strings","Base","rpad","rpad(string, n, p) + Make a string at least \"n\" characters long by padding on the right with copies of \"p\". @@ -1260,6 +1450,7 @@ ("Strings","Base","search","search(string, chars[, start]) + Search for the given characters within the given string. The second argument may be a single character, a vector or a set of characters, a string, or a regular expression (though regular @@ -1273,6 +1464,7 @@ ("Strings","Base","rsearch","rsearch(string, chars[, start]) + Like \"search\", but starts at the end and moves towards the beginning of \"string\". @@ -1280,6 +1472,7 @@ ("Strings","Base","replace","replace(string, pat, r[, n]) + Search for the given pattern \"pat\", and replace each occurrence with \"r\". If \"n\" is provided, replace at most \"n\" occurrences. As with search, the second argument may be a single @@ -1289,7 +1482,9 @@ "), -("Strings","Base","split","split(string, [chars, [limit,] [include_empty]]) +("Strings","Base","split","split(string, [chars, [limit,] +[include_empty]]) + Return an array of strings by splitting the given string on occurrences of the given character delimiters, which may be @@ -1303,7 +1498,9 @@ "), -("Strings","Base","rsplit","rsplit(string, [chars, [limit,] [include_empty]]) +("Strings","Base","rsplit","rsplit(string, [chars, [limit,] +[include_empty]]) + Similar to \"split\", but starting from the end of the string. @@ -1311,6 +1508,7 @@ ("Strings","Base","strip","strip(string[, chars]) + Return \"string\" with any leading and trailing whitespace removed. If a string \"chars\" is provided, instead remove characters contained in that string. @@ -1319,6 +1517,7 @@ ("Strings","Base","lstrip","lstrip(string[, chars]) + Return \"string\" with any leading whitespace removed. If a string \"chars\" is provided, instead remove characters contained in that string. @@ -1327,6 +1526,7 @@ ("Strings","Base","rstrip","rstrip(string[, chars]) + Return \"string\" with any trailing whitespace removed. If a string \"chars\" is provided, instead remove characters contained in that string. @@ -1335,30 +1535,35 @@ ("Strings","Base","beginswith","beginswith(string, prefix) + Returns \"true\" if \"string\" starts with \"prefix\". "), ("Strings","Base","endswith","endswith(string, suffix) + Returns \"true\" if \"string\" ends with \"suffix\". "), ("Strings","Base","uppercase","uppercase(string) + Returns \"string\" with all characters converted to uppercase. "), ("Strings","Base","lowercase","lowercase(string) + Returns \"string\" with all characters converted to lowercase. "), ("Strings","Base","join","join(strings, delim) + Join an array of strings into a single string, inserting the given delimiter between adjacent strings. @@ -1366,36 +1571,42 @@ ("Strings","Base","chop","chop(string) + Remove the last character from a string "), ("Strings","Base","chomp","chomp(string) + Remove a trailing newline from a string "), ("Strings","Base","ind2chr","ind2chr(string, i) + Convert a byte index to a character index "), ("Strings","Base","chr2ind","chr2ind(string, i) + Convert a character index to a byte index "), ("Strings","Base","isvalid","isvalid(str, i) + Tells whether index \"i\" is valid for the given string "), ("Strings","Base","nextind","nextind(str, i) + Get the next valid string index after \"i\". Returns \"endof(str)+1\" at the end of the string. @@ -1403,6 +1614,7 @@ ("Strings","Base","prevind","prevind(str, i) + Get the previous valid string index before \"i\". Returns \"0\" at the beginning of the string. @@ -1410,6 +1622,7 @@ ("Strings","Base","randstring","randstring(len) + Create a random ASCII string of length \"len\", consisting of upper- and lower-case letters and the digits 0-9 @@ -1417,18 +1630,21 @@ ("Strings","Base","charwidth","charwidth(c) + Gives the number of columns needed to print a character. "), ("Strings","Base","strwidth","strwidth(s) + Gives the number of columns needed to print a string. "), ("Strings","Base","isalnum","isalnum(c::Union(Char, String)) + Tests whether a character is alphanumeric, or whether this is true for all elements of a string. @@ -1436,6 +1652,7 @@ ("Strings","Base","isalpha","isalpha(c::Union(Char, String)) + Tests whether a character is alphabetic, or whether this is true for all elements of a string. @@ -1443,6 +1660,7 @@ ("Strings","Base","isascii","isascii(c::Union(Char, String)) + Tests whether a character belongs to the ASCII character set, or whether this is true for all elements of a string. @@ -1450,6 +1668,7 @@ ("Strings","Base","isblank","isblank(c::Union(Char, String)) + Tests whether a character is a tab or space, or whether this is true for all elements of a string. @@ -1457,6 +1676,7 @@ ("Strings","Base","iscntrl","iscntrl(c::Union(Char, String)) + Tests whether a character is a control character, or whether this is true for all elements of a string. @@ -1464,6 +1684,7 @@ ("Strings","Base","isdigit","isdigit(c::Union(Char, String)) + Tests whether a character is a numeric digit (0-9), or whether this is true for all elements of a string. @@ -1471,6 +1692,7 @@ ("Strings","Base","isgraph","isgraph(c::Union(Char, String)) + Tests whether a character is printable, and not a space, or whether this is true for all elements of a string. @@ -1478,6 +1700,7 @@ ("Strings","Base","islower","islower(c::Union(Char, String)) + Tests whether a character is a lowercase letter, or whether this is true for all elements of a string. @@ -1485,6 +1708,7 @@ ("Strings","Base","isprint","isprint(c::Union(Char, String)) + Tests whether a character is printable, including space, or whether this is true for all elements of a string. @@ -1492,6 +1716,7 @@ ("Strings","Base","ispunct","ispunct(c::Union(Char, String)) + Tests whether a character is printable, and not a space or alphanumeric, or whether this is true for all elements of a string. @@ -1499,6 +1724,7 @@ ("Strings","Base","isspace","isspace(c::Union(Char, String)) + Tests whether a character is any whitespace character, or whether this is true for all elements of a string. @@ -1506,6 +1732,7 @@ ("Strings","Base","isupper","isupper(c::Union(Char, String)) + Tests whether a character is an uppercase letter, or whether this is true for all elements of a string. @@ -1513,6 +1740,7 @@ ("Strings","Base","isxdigit","isxdigit(c::Union(Char, String)) + Tests whether a character is a valid hexadecimal digit, or whether this is true for all elements of a string. @@ -1520,18 +1748,23 @@ ("Strings","Base","symbol","symbol(str) + Convert a string to a \"Symbol\". "), -("Strings","Base","escape_string","escape_string(str::String) -> String +("Strings","Base","escape_string","escape_string(str::String) -> +String + General escaping of traditional C and Unicode escape sequences. See \"print_escaped()\" for more general escaping. "), -("Strings","Base","unescape_string","unescape_string(s::String) -> String +("Strings","Base","unescape_string","unescape_string(s::String) -> +String + General unescaping of traditional C and Unicode escape sequences. Reverse of \"escape_string()\". See also \"print_unescaped()\". @@ -1540,23 +1773,28 @@ ("I/O","Base","STDOUT","STDOUT + Global variable referring to the standard out stream. "), ("I/O","Base","STDERR","STDERR + Global variable referring to the standard error stream. "), ("I/O","Base","STDIN","STDIN + Global variable referring to the standard input stream. "), -("I/O","Base","open","open(file_name[, read, write, create, truncate, append]) -> IOStream +("I/O","Base","open","open(file_name[, read, write, create, truncate, +append]) -> IOStream + Open a file in a mode specified by five boolean arguments. The default is to open files for reading only. Returns a stream for @@ -1566,6 +1804,7 @@ ("I/O","Base","open","open(file_name[, mode]) -> IOStream + Alternate syntax for open, where a string-based mode specifier is used instead of the five booleans. The values of \"mode\" correspond to those from \"fopen(3)\" or Perl \"open\", and are @@ -1589,6 +1828,7 @@ ("I/O","Base","open","open(f::function, args...) + Apply the function \"f\" to the result of \"open(args...)\" and close the resulting file descriptor upon completion. @@ -1598,24 +1838,28 @@ ("I/O","Base","IOBuffer","IOBuffer() -> IOBuffer + Create an in-memory I/O stream. "), ("I/O","Base","IOBuffer","IOBuffer(size::Int) - Create a fixed sized IOBuffer. Note that the buffer will not grow - dynamically in this case. + + Create a fixed size IOBuffer. The buffer will not grow dynamically. "), ("I/O","Base","IOBuffer","IOBuffer(string) + Create a read-only IOBuffer on the data underlying the given string "), -("I/O","Base","IOBuffer","IOBuffer([data][, readable, writable[, maxsize]]) +("I/O","Base","IOBuffer","IOBuffer([data][, readable, writable[, +maxsize]]) + Create an IOBuffer, which may optionally operate on a pre-existing array. If the readable/writable arguments are given, they restrict @@ -1628,6 +1872,7 @@ ("I/O","Base","takebuf_array","takebuf_array(b::IOBuffer) + Obtain the contents of an \"IOBuffer\" as an array, without copying. @@ -1635,12 +1880,15 @@ ("I/O","Base","takebuf_string","takebuf_string(b::IOBuffer) + Obtain the contents of an \"IOBuffer\" as a string, without copying. "), -("I/O","Base","fdio","fdio([name::String], fd::Integer[, own::Bool]) -> IOStream +("I/O","Base","fdio","fdio([name::String], fd::Integer[, own::Bool]) +-> IOStream + Create an \"IOStream\" object from an integer file descriptor. If \"own\" is true, closing this object will close the underlying @@ -1652,12 +1900,14 @@ ("I/O","Base","flush","flush(stream) + Commit all currently buffered writes to the given stream. "), ("I/O","Base","flush_cstdio","flush_cstdio() + Flushes the C \"stdout\" and \"stderr\" streams (which may have been written to by external C code). @@ -1665,12 +1915,14 @@ ("I/O","Base","close","close(stream) + Close an I/O stream. Performs a \"flush\" first. "), ("I/O","Base","write","write(stream, x) + Write the canonical binary representation of a value to the given stream. @@ -1678,6 +1930,7 @@ ("I/O","Base","read","read(stream, type) + Read a value of the given type from a stream, in canonical binary representation. @@ -1685,6 +1938,7 @@ ("I/O","Base","read","read(stream, type, dims) + Read a series of values of the given type from a stream, in canonical binary representation. \"dims\" is either a tuple or a series of integer arguments specifying the size of \"Array\" to @@ -1692,7 +1946,9 @@ "), -("I/O","Base","readbytes!","readbytes!(stream, b::Vector{Uint8}, nb=length(b)) +("I/O","Base","readbytes!","readbytes!(stream, b::Vector{Uint8}, +nb=length(b)) + Read at most \"nb\" bytes from the stream into \"b\", returning the number of bytes read (increasing the size of \"b\" as needed). @@ -1701,6 +1957,7 @@ ("I/O","Base","readbytes","readbytes(stream, nb=typemax(Int)) + Read at most \"nb\" bytes from the stream, returning a \"Vector{Uint8}\" of the bytes read. @@ -1708,36 +1965,42 @@ ("I/O","Base","position","position(s) + Get the current position of a stream. "), ("I/O","Base","seek","seek(s, pos) + Seek a stream to the given position. "), ("I/O","Base","seekstart","seekstart(s) + Seek a stream to its beginning. "), ("I/O","Base","seekend","seekend(s) + Seek a stream to its end. "), ("I/O","Base","skip","skip(s, offset) + Seek a stream relative to the current position. "), ("I/O","Base","eof","eof(stream) + Tests whether an I/O stream is at end-of-file. If the stream is not yet exhausted, this function will block to wait for more data if necessary, and then return \"false\". Therefore it is always safe @@ -1747,18 +2010,21 @@ ("I/O","Base","isreadonly","isreadonly(stream) + Determine whether a stream is read-only. "), ("I/O","Base","isopen","isopen(stream) + Determine whether a stream is open (i.e. has not been closed yet). "), ("I/O","Base","ntoh","ntoh(x) + Converts the endianness of a value from Network byte order (big- endian) to that used by the Host. @@ -1766,6 +2032,7 @@ ("I/O","Base","hton","hton(x) + Converts the endianness of a value from that used by the Host to Network byte order (big-endian). @@ -1773,6 +2040,7 @@ ("I/O","Base","ltoh","ltoh(x) + Converts the endianness of a value from Little-endian to that used by the Host. @@ -1780,6 +2048,7 @@ ("I/O","Base","htol","htol(x) + Converts the endianness of a value from that used by the Host to Little-endian. @@ -1787,6 +2056,7 @@ ("I/O","Base","ENDIAN_BOM","ENDIAN_BOM + The 32-bit byte-order-mark indicates the native byte order of the host machine. Little-endian machines will contain the value 0x04030201. Big-endian machines will contain the value 0x01020304. @@ -1795,6 +2065,7 @@ ("I/O","Base","serialize","serialize(stream, value) + Write an arbitrary value to a stream in an opaque format, such that it can be read back by \"deserialize\". The read-back value will be as identical as possible to the original. In general, this process @@ -1806,11 +2077,14 @@ ("I/O","Base","deserialize","deserialize(stream) + Read a value written by \"serialize\". "), -("I/O","Base","print_escaped","print_escaped(io, str::String, esc::String) +("I/O","Base","print_escaped","print_escaped(io, str::String, +esc::String) + General escaping of traditional C and Unicode escape sequences, plus any characters in esc are also escaped (with a backslash). @@ -1819,6 +2093,7 @@ ("I/O","Base","print_unescaped","print_unescaped(io, s::String) + General unescaping of traditional C and Unicode escape sequences. Reverse of \"print_escaped()\". @@ -1826,6 +2101,7 @@ ("I/O","Base","fd","fd(stream) + Returns the file descriptor backing the stream or file. Note that this function only applies to synchronous *File*'s and *IOStream*'s not to any of the asynchronous streams. @@ -1834,6 +2110,7 @@ ("I/O","Base","redirect_stdout","redirect_stdout() + Create a pipe to which all C and Julia level STDOUT output will be redirected. Returns a tuple (rd,wr) representing the pipe ends. Data written to STDOUT may now be read from the rd end of the pipe. @@ -1844,6 +2121,7 @@ ("I/O","Base","redirect_stdout","redirect_stdout(stream) + Replace STDOUT by stream for all C and julia level output to STDOUT. Note that *stream* must be a TTY, a Pipe or a TcpSocket. @@ -1851,12 +2129,14 @@ ("I/O","Base","redirect_stderr","redirect_stderr([stream]) + Like redirect_stdout, but for STDERR "), ("I/O","Base","redirect_stderr","redirect_stderr([stream]) + Like redirect_stdout, but for STDIN. Note that the order of the return tuple is still (rd,wr), i.e. data to be read from STDIN, may be written to wr. @@ -1865,6 +2145,7 @@ ("I/O","Base","readchomp","readchomp(x) + Read the entirety of x as a string but remove trailing newlines. Equivalent to chomp(readall(x)). @@ -1872,6 +2153,7 @@ ("I/O","Base","readdir","readdir([dir]) -> Vector{ByteString} + Returns the files and directories in the directory *dir* (or the current working directory if not given). @@ -1879,6 +2161,7 @@ ("I/O","Base","truncate","truncate(file, n) + Resize the file or buffer given by the first argument to exactly *n* bytes, filling previously unallocated space with '0' if the file or buffer is grown @@ -1887,13 +2170,16 @@ ("I/O","Base","eatwspace","eatwspace(stream) + Advance the stream until before the first non-whitespace character (if the next character is not a whitespace character, the stream will not be advanced). "), -("I/O","Base","eatwspace_comment","eatwspace_comment(stream, cmt::Char) +("I/O","Base","eatwspace_comment","eatwspace_comment(stream, +cmt::Char) + Like \"eatwspace\", but also skips lines which have *cmt* as the first character of the line. @@ -1902,6 +2188,7 @@ ("I/O","Base","countlines","countlines(io[, eol::Char]) + Read io until the end of the stream/file and count the number of non-empty lines. To specify a file pass the filename as the first argument. EOL markers other than 'n' are supported by passing them @@ -1911,15 +2198,17 @@ ("I/O","Base","PipeBuffer","PipeBuffer() - An IOBuffer that only allows reading/writing (but not - seeking/appending/truncating). See IOBuffer for the available - constructors. + + An IOBuffer that allows reading and performs writes by appending. + Seeking and truncating are not supported. See IOBuffer for the + available constructors. "), ("I/O","Base","PipeBuffer","PipeBuffer(data::Vector{Uint8}[, maxsize]) - Create a PipeBuffer to operate on the data vector, optionally + + Create a PipeBuffer to operate on a data vector, optionally specifying a size beyond which the underlying Array may not be grown. @@ -1927,6 +2216,7 @@ ("I/O","Base","readavailable","readavailable(stream) + Read all available data on the stream, blocking the task only if no data is available. @@ -1934,8 +2224,9 @@ ("I/O","Base","stat","stat(file) + Returns a structure whose fields contain information about the - file. In partiuclar, the fields of the structure are: + file. The fields of the structure are: +-----------+------------------------------------------------------------------------+ | size | The size (in bytes) of the file | @@ -1967,40 +2258,45 @@ ("I/O","Base","lstat","lstat(file) - Like stat, but for symbolic links get the info for the link itself - rather than the file it refers to. Note also that because of that, - this function must be called on a file path rather than a file - object or a file descriptor. + + Like stat, but for symbolic links gets the info for the link itself + rather than the file it refers to. This function must be called on + a file path rather than a file object or a file descriptor. "), ("I/O","Base","ctime","ctime(file) + Equivalent to stat(file).ctime "), ("I/O","Base","mtime","mtime(file) + Equivalent to stat(file).mtime "), ("I/O","Base","filemode","filemode(file) + Equivalent to stat(file).mode "), ("I/O","Base","filesize","filesize(path...) + Equivalent to stat(file).size "), ("I/O","Base","uperm","uperm(file) - Gets the permissions of the owner of the file as bitfield of + + Gets the permissions of the owner of the file as a bitfield of +------+-----------------------+ | 01 | Execute Permission | @@ -2010,18 +2306,20 @@ | 04 | Read Permission | +------+-----------------------+ - For allowed arguments, see the stat method + For allowed arguments, see the stat method. "), ("I/O","Base","gperm","gperm(file) + Like uperm but gets the permissions of the group owning the file "), ("I/O","Base","operm","operm(file) + Like uperm but gets the permissions for people who neither own the file nor are a member of the group owning the file @@ -2029,12 +2327,14 @@ ("I/O","Base","cp","cp(src::String, dst::String) + Copy a file from *src* to *dest*. "), ("I/O","Base","download","download(url[, localfile]) + Download a file from the given url, optionally renaming it to the given local file name. Note that this function relies on the availability of external tools such as \"curl\", \"wget\" or @@ -2046,12 +2346,14 @@ ("I/O","Base","mv","mv(src::String, dst::String) + Move a file from *src* to *dst*. "), ("I/O","Base","rm","rm(path::String) + Delete the file at the given path. Note that this does not work on directories. @@ -2059,24 +2361,28 @@ ("I/O","Base","touch","touch(path::String) + Update the last-modified timestamp on a file to the current time. "), ("Network I/O","Base","connect","connect([host], port) -> TcpSocket + Connect to the host \"host\" on port \"port\" "), ("Network I/O","Base","connect","connect(path) -> Pipe + Connect to the Named Pipe/Domain Socket at \"path\" "), ("Network I/O","Base","listen","listen([addr], port) -> TcpServer + Listen on port on the address specified by \"addr\". By default this listens on localhost only. To listen on all interfaces pass, \"IPv4(0)\" or \"IPv6(0)\" as appropriate. @@ -2085,24 +2391,28 @@ ("Network I/O","Base","listen","listen(path) -> PipeServer + Listens on/Creates a Named Pipe/Domain Socket "), ("Network I/O","Base","getaddrinfo","getaddrinfo(host) + Gets the IP address of the \"host\" (may have to do a DNS lookup) "), ("Network I/O","Base","parseip","parseip(addr) + Parse a string specifying an IPv4 or IPv6 ip address. "), ("Network I/O","Base","nb_available","nb_available(stream) + Returns the number of bytes available for reading before a read from this stream or buffer will block. @@ -2110,28 +2420,33 @@ ("Network I/O","Base","accept","accept(server[, client]) + Accepts a connection on the given server and returns a connection - to the client. An uninitialized client stream may be given as a - paramter and if given, if be used instead of creating a new stream. + to the client. An uninitialized client stream may be provided, in + which case it will be used instead of creating a new stream. "), ("Network I/O","Base","bind","bind(server[, addr...]) - Binds a server to the given address (where the address may be any - of the argument usually passed to listen). Note that you must still - call listen to be able to accept connections on this server. + + Binds a server to the given address (which may be any of the + arguments accepted by listen). Note that you must still call listen + to be able to accept connections on this server. "), ("Network I/O","Base","listen","listen(sever) -> PipeServer + Starts listening on a server that has been previously bound to an - address by bing + address by \"bind\". "), -("Network I/O","Base","open_any_tcp_port","open_any_tcp_port(hint) -> (Uint16, TcpServer) +("Network I/O","Base","open_any_tcp_port","open_any_tcp_port(hint) -> +(Uint16, TcpServer) + Create a TcpServer on any port, using hint as a starting point. Returns a tuple of the actual port that the server was created on @@ -2139,7 +2454,9 @@ "), -("Network I/O","Base","poll_fd","poll_fd(fd, seconds::Real; readable=false, writable=false) +("Network I/O","Base","poll_fd","poll_fd(fd, seconds::Real; +readable=false, writable=false) + Poll a file descriptor fd for changes in the read or write availability and with a timeout given by the second argument. If @@ -2151,7 +2468,9 @@ "), -("Network I/O","Base","poll_file","poll_file(s, interval_seconds::Real, seconds::Real) +("Network I/O","Base","poll_file","poll_file(s, +interval_seconds::Real, seconds::Real) + Monitor a file for changes by polling every *interval_seconds* seconds for *seconds* seconds. A return value of true indicates the @@ -2161,6 +2480,7 @@ ("Text I/O","Base","show","show(x) + Write an informative text representation of a value to the current output stream. New types should overload \"show(io, x)\" where the first argument is a stream. @@ -2169,6 +2489,7 @@ ("Text I/O","Base","showcompact","showcompact(x) + Show a more compact representation of a value. This is used for printing array elements. If a new type has a different compact representation, it should overload \"showcompact(io, x)\" where the @@ -2178,6 +2499,7 @@ ("Text I/O","Base","summary","summary(x) + Return a string giving a brief description of a value. By default returns \"string(typeof(x))\". For arrays, returns strings like \"2x2 Float64 Array\". @@ -2186,6 +2508,7 @@ ("Text I/O","Base","print","print(x) + Write (to the default output stream) a canonical (un-decorated) text representation of a value if there is one, otherwise call \"show\". @@ -2194,23 +2517,28 @@ ("Text I/O","Base","println","println(x) + Print (using \"print()\") \"x\" followed by a newline. "), ("Text I/O","Base","info","info(msg) + Display an informational message. "), ("Text I/O","Base","warn","warn(msg) + Display a warning. "), -("Text I/O","Base","@printf","@printf([io::IOStream], \"%Fmt\", args...) +("Text I/O","Base","@printf","@printf([io::IOStream], \"%Fmt\", +args...) + Print arg(s) using C \"printf()\" style format specification string. Optionally, an IOStream may be passed as the first argument @@ -2220,12 +2548,14 @@ ("Text I/O","Base","@sprintf","@sprintf(\"%Fmt\", args...) + Return \"@printf\" formatted output as string. "), ("Text I/O","Base","sprint","sprint(f::Function, args...) + Call the given function with an I/O stream and the supplied extra arguments. Everything written to this I/O stream is returned as a string. @@ -2234,12 +2564,14 @@ ("Text I/O","Base","showall","showall(x) + Show x, printing all elements of arrays "), ("Text I/O","Base","dump","dump(x) + Write a thorough text representation of a value to the current output stream. @@ -2247,12 +2579,14 @@ ("Text I/O","Base","readall","readall(stream) + Read the entire contents of an I/O stream as a string. "), ("Text I/O","Base","readline","readline(stream) + Read a single line of text, including a trailing newline character (if one is reached before the end of the input). @@ -2260,23 +2594,28 @@ ("Text I/O","Base","readuntil","readuntil(stream, delim) + Read a string, up to and including the given delimiter byte. "), ("Text I/O","Base","readlines","readlines(stream) + Read all lines as an array. "), ("Text I/O","Base","eachline","eachline(stream) + Create an iterable object that will yield each line from a stream. "), -("Text I/O","Base","readdlm","readdlm(source, delim::Char; has_header=false, use_mmap=false, ignore_invalid_chars=false) +("Text I/O","Base","readdlm","readdlm(source, delim::Char; +has_header=false, use_mmap=false, ignore_invalid_chars=false) + Read a matrix from the source where each line gives one row, with elements separated by the given delimeter. The source can be a text @@ -2301,7 +2640,9 @@ "), -("Text I/O","Base","readdlm","readdlm(source, delim::Char, T::Type; options...) +("Text I/O","Base","readdlm","readdlm(source, delim::Char, T::Type; +options...) + Read a matrix from the source with a given element type. If \"T\" is a numeric type, the result is an array of that type, with any @@ -2313,6 +2654,7 @@ ("Text I/O","Base","writedlm","writedlm(filename, array, delim::Char) + Write an array to a text file using the given delimeter (defaults to comma). @@ -2320,18 +2662,21 @@ ("Text I/O","Base","readcsv","readcsv(source, [T::Type]; options...) + Equivalent to \"readdlm\" with \"delim\" set to comma. "), ("Text I/O","Base","writecsv","writecsv(filename, array) + Equivalent to \"writedlm\" with \"delim\" set to comma. "), ("Text I/O","Base","Base64Pipe","Base64Pipe(ostream) + Returns a new write-only I/O stream, which converts any bytes written to it into base64-encoded ASCII bytes written to \"ostream\". Calling \"close\" on the \"Base64Pipe\" stream is @@ -2341,6 +2686,7 @@ "), ("Text I/O","Base","base64","base64(writefunc, args...) + base64(args...) Given a \"write\"-like function \"writefunc\", which takes an I/O @@ -2354,6 +2700,7 @@ base64(args...) "), ("Multimedia I/O","Base","display","display(x) + display(d::Display, x) display(mime, x) display(d::Display, mime, x) @@ -2377,6 +2724,7 @@ display(d::Display, mime, x) "), ("Multimedia I/O","Base","redisplay","redisplay(x) + redisplay(d::Display, x) redisplay(mime, x) redisplay(d::Display, mime, x) @@ -2391,6 +2739,7 @@ redisplay(d::Display, mime, x) "), ("Multimedia I/O","Base","displayable","displayable(mime) + displayable(d::Display, mime) Returns a boolean value indicating whether the given \"mime\" type @@ -2402,6 +2751,7 @@ displayable(d::Display, mime) ("Multimedia I/O","Base","writemime","writemime(stream, mime, x) + The \"display\" functions ultimately call \"writemime\" in order to write an object \"x\" as a given \"mime\" type to a given I/O \"stream\" (usually a memory buffer), if possible. In order to @@ -2428,6 +2778,7 @@ displayable(d::Display, mime) ("Multimedia I/O","Base","mimewritable","mimewritable(mime, T::Type) + Returns a boolean value indicating whether or not objects of type \"T\" can be written as the given \"mime\" type. (By default, this is determined automatically by the existence of the corresponding @@ -2437,6 +2788,7 @@ displayable(d::Display, mime) ("Multimedia I/O","Base","reprmime","reprmime(mime, x) + Returns a \"String\" or \"Vector{Uint8}\" containing the representation of \"x\" in the requested \"mime\" type, as written by \"writemime\" (throwing a \"MethodError\" if no appropriate @@ -2455,6 +2807,7 @@ displayable(d::Display, mime) ("Multimedia I/O","Base","stringmime","stringmime(mime, x) + Returns a \"String\" containing the representation of \"x\" in the requested \"mime\" type. This is similar to \"reprmime\" except that binary data is base64-encoded as an ASCII string. @@ -2463,6 +2816,7 @@ displayable(d::Display, mime) ("Multimedia I/O","Base","pushdisplay","pushdisplay(d::Display) + Pushes a new display \"d\" on top of the global display-backend stack. Calling \"display(x)\" or \"display(mime, x)\" will display \"x\" on the topmost compatible backend in the stack (i.e., the @@ -2471,6 +2825,7 @@ displayable(d::Display, mime) "), ("Multimedia I/O","Base","popdisplay","popdisplay() + popdisplay(d::Display) Pop the topmost backend off of the display-backend stack, or the @@ -2480,6 +2835,7 @@ popdisplay(d::Display) ("Multimedia I/O","Base","TextDisplay","TextDisplay(stream) + Returns a \"TextDisplay <: Display\", which can display any object as the text/plain MIME type (only), writing the text representation to the given I/O stream. (The text representation is the same as @@ -2487,7 +2843,9 @@ popdisplay(d::Display) "), -("Memory-mapped I/O","Base","mmap_array","mmap_array(type, dims, stream[, offset]) +("Memory-mapped I/O","Base","mmap_array","mmap_array(type, dims, +stream[, offset]) + Create an \"Array\" whose values are linked to a file, using memory-mapping. This provides a convenient way of working with data @@ -2510,7 +2868,9 @@ popdisplay(d::Display) "), -("Memory-mapped I/O","Base","mmap_bitarray","mmap_bitarray([type], dims, stream[, offset]) +("Memory-mapped I/O","Base","mmap_bitarray","mmap_bitarray([type], +dims, stream[, offset]) + Create a \"BitArray\" whose values are linked to a file, using memory-mapping; it has the same purpose, works in the same way, and @@ -2527,6 +2887,7 @@ popdisplay(d::Display) ("Memory-mapped I/O","Base","msync","msync(array) + Forces synchronization between the in-memory version of a memory- mapped \"Array\" or \"BitArray\" and the on-disk version. @@ -2534,6 +2895,7 @@ popdisplay(d::Display) ("Memory-mapped I/O","Base","msync","msync(ptr, len[, flags]) + Forces synchronization of the mmap'd memory region from ptr to ptr+len. Flags defaults to MS_SYNC, but can be a combination of MS_ASYNC, MS_SYNC, or MS_INVALIDATE. See your platform man page for @@ -2548,6 +2910,7 @@ popdisplay(d::Display) ("Memory-mapped I/O","Base","MS_ASYNC","MS_ASYNC + Enum constant for msync. See your platform man page for details. (not available on Windows). @@ -2555,6 +2918,7 @@ popdisplay(d::Display) ("Memory-mapped I/O","Base","MS_SYNC","MS_SYNC + Enum constant for msync. See your platform man page for details. (not available on Windows). @@ -2562,6 +2926,7 @@ popdisplay(d::Display) ("Memory-mapped I/O","Base","MS_INVALIDATE","MS_INVALIDATE + Enum constant for msync. See your platform man page for details. (not available on Windows). @@ -2569,12 +2934,14 @@ popdisplay(d::Display) ("Memory-mapped I/O","Base","mmap","mmap(len, prot, flags, fd, offset) + Low-level interface to the mmap system call. See the man page. "), ("Memory-mapped I/O","Base","munmap","munmap(pointer, len) + Low-level interface for unmapping memory (see the man page). With mmap_array you do not need to call this directly; the memory is unmapped for you when the array goes out of scope. @@ -2583,168 +2950,196 @@ popdisplay(d::Display) ("Mathematical Operators","Base","-","-(x) + Unary minus operator. "), ("Mathematical Operators","Base","+","+(x, y) + Binary addition operator. "), ("Mathematical Operators","Base","-","-(x, y) + Binary subtraction operator. "), ("Mathematical Operators","Base","*","*(x, y) + Binary multiplication operator. "), ("Mathematical Operators","Base","/","/(x, y) + Binary left-division operator. "), ("Mathematical Operators","Base","\\","\\(x, y) + Binary right-division operator. "), ("Mathematical Operators","Base","^","^(x, y) + Binary exponentiation operator. "), ("Mathematical Operators","Base",".+",".+(x, y) + Element-wise binary addition operator. "), ("Mathematical Operators","Base",".-",".-(x, y) + Element-wise binary subtraction operator. "), ("Mathematical Operators","Base",".*",".*(x, y) + Element-wise binary multiplication operator. "), ("Mathematical Operators","Base","./","./(x, y) + Element-wise binary left division operator. "), ("Mathematical Operators","Base",".\\",".\\(x, y) + Element-wise binary right division operator. "), ("Mathematical Operators","Base",".^",".^(x, y) + Element-wise binary exponentiation operator. "), ("Mathematical Operators","Base","div","div(a, b) + Compute a/b, truncating to an integer "), ("Mathematical Operators","Base","fld","fld(a, b) + Largest integer less than or equal to a/b "), ("Mathematical Operators","Base","mod","mod(x, m) + Modulus after division, returning in the range [0,m) "), ("Mathematical Operators","Base","rem","rem(x, m) + Remainder after division "), ("Mathematical Operators","Base","divrem","divrem(x, y) + Compute \"x/y\" and \"x%y\" at the same time "), ("Mathematical Operators","Base","%","%(x, m) + Remainder after division. The operator form of \"rem\". "), ("Mathematical Operators","Base","mod1","mod1(x, m) + Modulus after division, returning in the range (0,m] "), ("Mathematical Operators","Base","//","//(num, den) + Rational division "), ("Mathematical Operators","Base","rationalize","rationalize([Type], x) + Approximate the number x as a rational fraction "), ("Mathematical Operators","Base","num","num(x) + Numerator of the rational representation of \"x\" "), ("Mathematical Operators","Base","den","den(x) + Denominator of the rational representation of \"x\" "), ("Mathematical Operators","Base","<<","<<(x, n) + Left shift operator. "), ("Mathematical Operators","Base",">>",">>(x, n) + Right shift operator. "), ("Mathematical Operators","Base",">>>",">>>(x, n) + Unsigned right shift operator. "), ("Mathematical Operators","Base",":",":(start[, step], stop) + Range operator. \"a:b\" constructs a range from \"a\" to \"b\" with a step size of 1, and \"a:s:b\" is similar but uses a step size of \"s\". These syntaxes call the function \"colon\". The colon is @@ -2754,12 +3149,14 @@ popdisplay(d::Display) ("Mathematical Operators","Base","colon","colon(start[, step], stop) + Called by \":\" syntax for constructing ranges. "), ("Mathematical Operators","Base","==","==(x, y) + Numeric equality operator. Compares numbers and number-like values (e.g. arrays) by numeric value. True for numbers of different types that represent the same value (e.g. \"2\" and \"2.0\"). Follows @@ -2770,6 +3167,7 @@ popdisplay(d::Display) ("Mathematical Operators","Base","!=","!=(x, y) + Not-equals comparison operator. Always gives the opposite answer as \"==\". New types should generally not implement this, and rely on the fallback definition \"!=(x,y) = !(x==y)\" instead. @@ -2778,18 +3176,21 @@ popdisplay(d::Display) ("Mathematical Operators","Base","===","===(x, y) + See the \"is()\" operator "), ("Mathematical Operators","Base","!==","!==(x, y) + Equivalent to \"!is(x, y)\" "), ("Mathematical Operators","Base","<","<(x, y) + Less-than comparison operator. New numeric types should implement this function for two arguments of the new type. @@ -2797,12 +3198,14 @@ popdisplay(d::Display) ("Mathematical Operators","Base","<=","<=(x, y) + Less-than-or-equals comparison operator. "), ("Mathematical Operators","Base",">",">(x, y) + Greater-than comparison operator. Generally, new types should implement \"<\" instead of this function, and rely on the fallback definition \">(x,y) = y=",">=(x, y) + Greater-than-or-equals comparison operator. "), ("Mathematical Operators","Base",".==",".==(x, y) + Element-wise equality comparison operator. "), ("Mathematical Operators","Base",".!=",".!=(x, y) + Element-wise not-equals comparison operator. "), ("Mathematical Operators","Base",".<",".<(x, y) + Element-wise less-than comparison operator. "), ("Mathematical Operators","Base",".<=",".<=(x, y) + Element-wise less-than-or-equals comparison operator. "), ("Mathematical Operators","Base",".>",".>(x, y) + Element-wise greater-than comparison operator. "), ("Mathematical Operators","Base",".>=",".>=(x, y) + Element-wise greater-than-or-equals comparison operator. "), ("Mathematical Operators","Base","cmp","cmp(x, y) + Return -1, 0, or 1 depending on whether \"xy\", respectively @@ -2860,161 +3271,189 @@ popdisplay(d::Display) ("Mathematical Operators","Base","~","~(x) + Bitwise not "), ("Mathematical Operators","Base","&","&(x, y) + Bitwise and "), ("Mathematical Operators","Base","|","|(x, y) + Bitwise or "), ("Mathematical Operators","Base","\$","\$(x, y) + Bitwise exclusive or "), ("Mathematical Operators","Base","!","!(x) + Boolean not "), ("Mathematical Operators","Base","&&","&&(x, y) + Boolean and "), ("Mathematical Operators","Base","||","||(x, y) + Boolean or "), ("Mathematical Operators","Base","A_ldiv_Bc","A_ldiv_Bc(a, b) + Matrix operator A \\ B^H "), ("Mathematical Operators","Base","A_ldiv_Bt","A_ldiv_Bt(a, b) + Matrix operator A \\ B^T "), ("Mathematical Operators","Base","A_mul_B","A_mul_B(...) + Matrix operator A B "), ("Mathematical Operators","Base","A_mul_Bc","A_mul_Bc(...) + Matrix operator A B^H "), ("Mathematical Operators","Base","A_mul_Bt","A_mul_Bt(...) + Matrix operator A B^T "), ("Mathematical Operators","Base","A_rdiv_Bc","A_rdiv_Bc(...) + Matrix operator A / B^H "), ("Mathematical Operators","Base","A_rdiv_Bt","A_rdiv_Bt(a, b) + Matrix operator A / B^T "), ("Mathematical Operators","Base","Ac_ldiv_B","Ac_ldiv_B(...) + Matrix operator A^H \\ B "), ("Mathematical Operators","Base","Ac_ldiv_Bc","Ac_ldiv_Bc(...) + Matrix operator A^H \\ B^H "), ("Mathematical Operators","Base","Ac_mul_B","Ac_mul_B(...) + Matrix operator A^H B "), ("Mathematical Operators","Base","Ac_mul_Bc","Ac_mul_Bc(...) + Matrix operator A^H B^H "), ("Mathematical Operators","Base","Ac_rdiv_B","Ac_rdiv_B(a, b) + Matrix operator A^H / B "), ("Mathematical Operators","Base","Ac_rdiv_Bc","Ac_rdiv_Bc(a, b) + Matrix operator A^H / B^H "), ("Mathematical Operators","Base","At_ldiv_B","At_ldiv_B(...) + Matrix operator A^T \\ B "), ("Mathematical Operators","Base","At_ldiv_Bt","At_ldiv_Bt(...) + Matrix operator A^T \\ B^T "), ("Mathematical Operators","Base","At_mul_B","At_mul_B(...) + Matrix operator A^T B "), ("Mathematical Operators","Base","At_mul_Bt","At_mul_Bt(...) + Matrix operator A^T B^T "), ("Mathematical Operators","Base","At_rdiv_B","At_rdiv_B(a, b) + Matrix operator A^T / B "), ("Mathematical Operators","Base","At_rdiv_Bt","At_rdiv_Bt(a, b) + Matrix operator A^T / B^T "), -("Mathematical Functions","Base","isapprox","isapprox(x::Number, y::Number; rtol::Real=cbrt(maxeps), atol::Real=sqrt(maxeps)) +("Mathematical Functions","Base","isapprox","isapprox(x::Number, +y::Number; rtol::Real=cbrt(maxeps), atol::Real=sqrt(maxeps)) + Inexact equality comparison - behaves slightly different depending on types of input args: @@ -3037,72 +3476,98 @@ popdisplay(d::Display) ("Mathematical Functions","Base","sin","sin(x) + Compute sine of \"x\", where \"x\" is in radians "), ("Mathematical Functions","Base","cos","cos(x) + Compute cosine of \"x\", where \"x\" is in radians "), ("Mathematical Functions","Base","tan","tan(x) + Compute tangent of \"x\", where \"x\" is in radians "), ("Mathematical Functions","Base","sind","sind(x) + Compute sine of \"x\", where \"x\" is in degrees "), ("Mathematical Functions","Base","cosd","cosd(x) + Compute cosine of \"x\", where \"x\" is in degrees "), ("Mathematical Functions","Base","tand","tand(x) + Compute tangent of \"x\", where \"x\" is in degrees "), +("Mathematical Functions","Base","sinpi","sinpi(x) + + + Compute accurate \\sin(\\pi x) + +"), + +("Mathematical Functions","Base","cospi","cospi(x) + + + Compute accurate \\cos(\\pi x) + +"), + ("Mathematical Functions","Base","sinh","sinh(x) + Compute hyperbolic sine of \"x\" "), ("Mathematical Functions","Base","cosh","cosh(x) + Compute hyperbolic cosine of \"x\" "), ("Mathematical Functions","Base","tanh","tanh(x) + Compute hyperbolic tangent of \"x\" "), ("Mathematical Functions","Base","asin","asin(x) + Compute the inverse sine of \"x\", where the output is in radians "), ("Mathematical Functions","Base","acos","acos(x) + Compute the inverse cosine of \"x\", where the output is in radians "), ("Mathematical Functions","Base","atan","atan(x) + Compute the inverse tangent of \"x\", where the output is in radians @@ -3110,6 +3575,7 @@ popdisplay(d::Display) ("Mathematical Functions","Base","atan2","atan2(y, x) + Compute the inverse tangent of \"y/x\", using the signs of both \"x\" and \"y\" to determine the quadrant of the return value. @@ -3117,18 +3583,21 @@ popdisplay(d::Display) ("Mathematical Functions","Base","asind","asind(x) + Compute the inverse sine of \"x\", where the output is in degrees "), ("Mathematical Functions","Base","acosd","acosd(x) + Compute the inverse cosine of \"x\", where the output is in degrees "), ("Mathematical Functions","Base","atand","atand(x) + Compute the inverse tangent of \"x\", where the output is in degrees @@ -3136,48 +3605,56 @@ popdisplay(d::Display) ("Mathematical Functions","Base","sec","sec(x) + Compute the secant of \"x\", where \"x\" is in radians "), ("Mathematical Functions","Base","csc","csc(x) + Compute the cosecant of \"x\", where \"x\" is in radians "), ("Mathematical Functions","Base","cot","cot(x) + Compute the cotangent of \"x\", where \"x\" is in radians "), ("Mathematical Functions","Base","secd","secd(x) + Compute the secant of \"x\", where \"x\" is in degrees "), ("Mathematical Functions","Base","cscd","cscd(x) + Compute the cosecant of \"x\", where \"x\" is in degrees "), ("Mathematical Functions","Base","cotd","cotd(x) + Compute the cotangent of \"x\", where \"x\" is in degrees "), ("Mathematical Functions","Base","asec","asec(x) + Compute the inverse secant of \"x\", where the output is in radians "), ("Mathematical Functions","Base","acsc","acsc(x) + Compute the inverse cosecant of \"x\", where the output is in radians @@ -3185,6 +3662,7 @@ popdisplay(d::Display) ("Mathematical Functions","Base","acot","acot(x) + Compute the inverse cotangent of \"x\", where the output is in radians @@ -3192,12 +3670,14 @@ popdisplay(d::Display) ("Mathematical Functions","Base","asecd","asecd(x) + Compute the inverse secant of \"x\", where the output is in degrees "), ("Mathematical Functions","Base","acscd","acscd(x) + Compute the inverse cosecant of \"x\", where the output is in degrees @@ -3205,6 +3685,7 @@ popdisplay(d::Display) ("Mathematical Functions","Base","acotd","acotd(x) + Compute the inverse cotangent of \"x\", where the output is in degrees @@ -3212,66 +3693,77 @@ popdisplay(d::Display) ("Mathematical Functions","Base","sech","sech(x) + Compute the hyperbolic secant of \"x\" "), ("Mathematical Functions","Base","csch","csch(x) + Compute the hyperbolic cosecant of \"x\" "), ("Mathematical Functions","Base","coth","coth(x) + Compute the hyperbolic cotangent of \"x\" "), ("Mathematical Functions","Base","asinh","asinh(x) + Compute the inverse hyperbolic sine of \"x\" "), ("Mathematical Functions","Base","acosh","acosh(x) + Compute the inverse hyperbolic cosine of \"x\" "), ("Mathematical Functions","Base","atanh","atanh(x) + Compute the inverse hyperbolic cotangent of \"x\" "), ("Mathematical Functions","Base","asech","asech(x) + Compute the inverse hyperbolic secant of \"x\" "), ("Mathematical Functions","Base","acsch","acsch(x) + Compute the inverse hyperbolic cosecant of \"x\" "), ("Mathematical Functions","Base","acoth","acoth(x) + Compute the inverse hyperbolic cotangent of \"x\" "), ("Mathematical Functions","Base","sinc","sinc(x) + Compute \\sin(\\pi x) / (\\pi x) if x \\neq 0, and 1 if x = 0. "), ("Mathematical Functions","Base","cosc","cosc(x) + Compute \\cos(\\pi x) / x - \\sin(\\pi x) / (\\pi x^2) if x \\neq 0, and 0 if x = 0. This is the derivative of \"sinc(x)\". @@ -3279,48 +3771,56 @@ popdisplay(d::Display) ("Mathematical Functions","Base","degrees2radians","degrees2radians(x) + Convert \"x\" from degrees to radians "), ("Mathematical Functions","Base","radians2degrees","radians2degrees(x) + Convert \"x\" from radians to degrees "), ("Mathematical Functions","Base","hypot","hypot(x, y) + Compute the \\sqrt{x^2+y^2} without undue overflow or underflow "), ("Mathematical Functions","Base","log","log(x) + Compute the natural logarithm of \"x\" "), ("Mathematical Functions","Base","log2","log2(x) + Compute the natural logarithm of \"x\" to base 2 "), ("Mathematical Functions","Base","log10","log10(x) + Compute the natural logarithm of \"x\" to base 10 "), ("Mathematical Functions","Base","log1p","log1p(x) + Accurate natural logarithm of \"1+x\" "), ("Mathematical Functions","Base","frexp","frexp(val, exp) + Return a number \"x\" such that it has a magnitude in the interval \"[1/2, 1)\" or 0, and val = x \\times 2^{exp}. @@ -3328,30 +3828,35 @@ popdisplay(d::Display) ("Mathematical Functions","Base","exp","exp(x) + Compute e^x "), ("Mathematical Functions","Base","exp2","exp2(x) + Compute 2^x "), ("Mathematical Functions","Base","exp10","exp10(x) + Compute 10^x "), ("Mathematical Functions","Base","ldexp","ldexp(x, n) + Compute x \\times 2^n "), ("Mathematical Functions","Base","modf","modf(x) + Return a tuple (fpart,ipart) of the fractional and integral parts of a number. Both parts have the same sign as the argument. @@ -3359,12 +3864,14 @@ popdisplay(d::Display) ("Mathematical Functions","Base","expm1","expm1(x) + Accurately compute e^x-1 "), ("Mathematical Functions","Base","round","round(x[, digits[, base]]) + \"round(x)\" returns the nearest integral value of the same type as \"x\" to \"x\". \"round(x, digits)\" rounds to the specified number of digits after the decimal place, or before if negative, e.g., @@ -3376,6 +3883,7 @@ popdisplay(d::Display) ("Mathematical Functions","Base","ceil","ceil(x[, digits[, base]]) + Returns the nearest integral value of the same type as \"x\" not less than \"x\". \"digits\" and \"base\" work as above. @@ -3383,6 +3891,7 @@ popdisplay(d::Display) ("Mathematical Functions","Base","floor","floor(x[, digits[, base]]) + Returns the nearest integral value of the same type as \"x\" not greater than \"x\". \"digits\" and \"base\" work as above. @@ -3390,6 +3899,7 @@ popdisplay(d::Display) ("Mathematical Functions","Base","trunc","trunc(x[, digits[, base]]) + Returns the nearest integral value of the same type as \"x\" not greater in magnitude than \"x\". \"digits\" and \"base\" work as above. @@ -3398,30 +3908,35 @@ popdisplay(d::Display) ("Mathematical Functions","Base","iround","iround(x) -> Integer + Returns the nearest integer to \"x\". "), ("Mathematical Functions","Base","iceil","iceil(x) -> Integer + Returns the nearest integer not less than \"x\". "), ("Mathematical Functions","Base","ifloor","ifloor(x) -> Integer + Returns the nearest integer not greater than \"x\". "), ("Mathematical Functions","Base","itrunc","itrunc(x) -> Integer + Returns the nearest integer not greater in magnitude than \"x\". "), ("Mathematical Functions","Base","signif","signif(x, digits[, base]) + Rounds (in the sense of \"round\") \"x\" so that there are \"digits\" significant digits, under a base \"base\" representation, default 10. E.g., \"signif(123.456, 2)\" is @@ -3431,18 +3946,21 @@ popdisplay(d::Display) ("Mathematical Functions","Base","min","min(x, y) + Return the minimum of \"x\" and \"y\" "), ("Mathematical Functions","Base","max","max(x, y) + Return the maximum of \"x\" and \"y\" "), ("Mathematical Functions","Base","clamp","clamp(x, lo, hi) + Return x if \"lo <= x <= hi\". If \"x < lo\", return \"lo\". If \"x > hi\", return \"hi\". @@ -3450,24 +3968,28 @@ popdisplay(d::Display) ("Mathematical Functions","Base","abs","abs(x) + Absolute value of \"x\" "), ("Mathematical Functions","Base","abs2","abs2(x) + Squared absolute value of \"x\" "), ("Mathematical Functions","Base","copysign","copysign(x, y) + Return \"x\" such that it has the same sign as \"y\" "), ("Mathematical Functions","Base","sign","sign(x) + Return \"+1\" if \"x\" is positive, \"0\" if \"x == 0\", and \"-1\" if \"x\" is negative. @@ -3475,6 +3997,7 @@ popdisplay(d::Display) ("Mathematical Functions","Base","signbit","signbit(x) + Returns \"1\" if the value of the sign of \"x\" is negative, otherwise \"0\". @@ -3482,6 +4005,7 @@ popdisplay(d::Display) ("Mathematical Functions","Base","flipsign","flipsign(x, y) + Return \"x\" with its sign flipped if \"y\" is negative. For example \"abs(x) = flipsign(x,x)\". @@ -3489,24 +4013,28 @@ popdisplay(d::Display) ("Mathematical Functions","Base","sqrt","sqrt(x) + Return \\sqrt{x} "), ("Mathematical Functions","Base","isqrt","isqrt(x) + Integer square root. "), ("Mathematical Functions","Base","cbrt","cbrt(x) + Return x^{1/3} "), ("Mathematical Functions","Base","erf","erf(x) + Compute the error function of \"x\", defined by \\frac{2}{\\sqrt{\\pi}} \\int_0^x e^{-t^2} dt for arbitrary complex \"x\". @@ -3515,6 +4043,7 @@ popdisplay(d::Display) ("Mathematical Functions","Base","erfc","erfc(x) + Compute the complementary error function of \"x\", defined by 1 - \\operatorname{erf}(x). @@ -3522,6 +4051,7 @@ popdisplay(d::Display) ("Mathematical Functions","Base","erfcx","erfcx(x) + Compute the scaled complementary error function of \"x\", defined by e^{x^2} \\operatorname{erfc}(x). Note also that \\operatorname{erfcx}(-ix) computes the Faddeeva function w(x). @@ -3530,6 +4060,7 @@ popdisplay(d::Display) ("Mathematical Functions","Base","erfi","erfi(x) + Compute the imaginary error function of \"x\", defined by -i \\operatorname{erf}(ix). @@ -3537,6 +4068,7 @@ popdisplay(d::Display) ("Mathematical Functions","Base","dawson","dawson(x) + Compute the Dawson function (scaled imaginary error function) of \"x\", defined by \\frac{\\sqrt{\\pi}}{2} e^{-x^2} \\operatorname{erfi}(x). @@ -3545,6 +4077,7 @@ popdisplay(d::Display) ("Mathematical Functions","Base","erfinv","erfinv(x) + Compute the inverse error function of a real \"x\", defined by \\operatorname{erf}(\\operatorname{erfinv}(x)) = x. @@ -3552,6 +4085,7 @@ popdisplay(d::Display) ("Mathematical Functions","Base","erfcinv","erfcinv(x) + Compute the inverse error complementary function of a real \"x\", defined by \\operatorname{erfc}(\\operatorname{erfcinv}(x)) = x. @@ -3559,18 +4093,21 @@ popdisplay(d::Display) ("Mathematical Functions","Base","real","real(z) + Return the real part of the complex number \"z\" "), ("Mathematical Functions","Base","imag","imag(z) + Return the imaginary part of the complex number \"z\" "), ("Mathematical Functions","Base","reim","reim(z) + Return both the real and imaginary parts of the complex number \"z\" @@ -3578,18 +4115,21 @@ popdisplay(d::Display) ("Mathematical Functions","Base","conj","conj(z) + Compute the complex conjugate of a complex number \"z\" "), ("Mathematical Functions","Base","angle","angle(z) + Compute the phase angle of a complex number \"z\" "), ("Mathematical Functions","Base","cis","cis(z) + Return \"cos(z) + i*sin(z)\" if z is real. Return \"(cos(real(z)) + i*sin(real(z)))/exp(imag(z))\" if \"z\" is complex @@ -3597,24 +4137,28 @@ popdisplay(d::Display) ("Mathematical Functions","Base","binomial","binomial(n, k) + Number of ways to choose \"k\" out of \"n\" items "), ("Mathematical Functions","Base","factorial","factorial(n) + Factorial of n "), ("Mathematical Functions","Base","factorial","factorial(n, k) + Compute \"factorial(n)/factorial(k)\" "), ("Mathematical Functions","Base","factor","factor(n) + Compute the prime factorization of an integer \"n\". Returns a dictionary. The keys of the dictionary correspond to the factors, and hence are of the same type as \"n\". The value associated with @@ -3627,18 +4171,21 @@ popdisplay(d::Display) ("Mathematical Functions","Base","gcd","gcd(x, y) + Greatest common divisor "), ("Mathematical Functions","Base","lcm","lcm(x, y) + Least common multiple "), ("Mathematical Functions","Base","gcdx","gcdx(x, y) + Greatest common divisor, also returning integer coefficients \"u\" and \"v\" that solve \"ux+vy == gcd(x,y)\" @@ -3646,36 +4193,42 @@ popdisplay(d::Display) ("Mathematical Functions","Base","ispow2","ispow2(n) + Test whether \"n\" is a power of two "), ("Mathematical Functions","Base","nextpow2","nextpow2(n) + Next power of two not less than \"n\" "), ("Mathematical Functions","Base","prevpow2","prevpow2(n) + Previous power of two not greater than \"n\" "), ("Mathematical Functions","Base","nextpow","nextpow(a, n) + Next power of \"a\" not less than \"n\" "), ("Mathematical Functions","Base","prevpow","prevpow(a, n) + Previous power of \"a\" not greater than \"n\" "), ("Mathematical Functions","Base","nextprod","nextprod([a, b, c], n) + Next integer not less than \"n\" that can be written \"a^i1 * b^i2 * c^i3\" for integers \"i1\", \"i2\", \"i3\". @@ -3683,6 +4236,7 @@ popdisplay(d::Display) ("Mathematical Functions","Base","prevprod","prevprod([a, b, c], n) + Previous integer not greater than \"n\" that can be written \"a^i1 * b^i2 * c^i3\" for integers \"i1\", \"i2\", \"i3\". @@ -3690,36 +4244,42 @@ popdisplay(d::Display) ("Mathematical Functions","Base","invmod","invmod(x, m) + Inverse of \"x\", modulo \"m\" "), ("Mathematical Functions","Base","powermod","powermod(x, p, m) + Compute \"mod(x^p, m)\" "), ("Mathematical Functions","Base","gamma","gamma(x) + Compute the gamma function of \"x\" "), ("Mathematical Functions","Base","lgamma","lgamma(x) + Compute the logarithm of absolute value of \"gamma(x)\" "), ("Mathematical Functions","Base","lfact","lfact(x) + Compute the logarithmic factorial of \"x\" "), ("Mathematical Functions","Base","digamma","digamma(x) + Compute the digamma function of \"x\" (the logarithmic derivative of \"gamma(x)\") @@ -3727,90 +4287,105 @@ popdisplay(d::Display) ("Mathematical Functions","Base","airy","airy(k, x) + kth derivative of the Airy function \\operatorname{Ai}(x). "), ("Mathematical Functions","Base","airyai","airyai(x) + Airy function \\operatorname{Ai}(x). "), ("Mathematical Functions","Base","airyprime","airyprime(x) + Airy function derivative \\operatorname{Ai}'(x). "), ("Mathematical Functions","Base","airyaiprime","airyaiprime(x) + Airy function derivative \\operatorname{Ai}'(x). "), ("Mathematical Functions","Base","airybi","airybi(x) + Airy function \\operatorname{Bi}(x). "), ("Mathematical Functions","Base","airybiprime","airybiprime(x) + Airy function derivative \\operatorname{Bi}'(x). "), ("Mathematical Functions","Base","besselj0","besselj0(x) + Bessel function of the first kind of order 0, J_0(x). "), ("Mathematical Functions","Base","besselj1","besselj1(x) + Bessel function of the first kind of order 1, J_1(x). "), ("Mathematical Functions","Base","besselj","besselj(nu, x) + Bessel function of the first kind of order \"nu\", J_\\nu(x). "), ("Mathematical Functions","Base","bessely0","bessely0(x) + Bessel function of the second kind of order 0, Y_0(x). "), ("Mathematical Functions","Base","bessely1","bessely1(x) + Bessel function of the second kind of order 1, Y_1(x). "), ("Mathematical Functions","Base","bessely","bessely(nu, x) + Bessel function of the second kind of order \"nu\", Y_\\nu(x). "), ("Mathematical Functions","Base","hankelh1","hankelh1(nu, x) + Bessel function of the third kind of order \"nu\", H^{(1)}_\\nu(x). "), ("Mathematical Functions","Base","hankelh2","hankelh2(nu, x) + Bessel function of the third kind of order \"nu\", H^{(2)}_\\nu(x). "), ("Mathematical Functions","Base","besseli","besseli(nu, x) + Modified Bessel function of the first kind of order \"nu\", I_\\nu(x). @@ -3818,6 +4393,7 @@ popdisplay(d::Display) ("Mathematical Functions","Base","besselk","besselk(nu, x) + Modified Bessel function of the second kind of order \"nu\", K_\\nu(x). @@ -3825,6 +4401,7 @@ popdisplay(d::Display) ("Mathematical Functions","Base","beta","beta(x, y) + Euler integral of the first kind \\operatorname{B}(x,y) = \\Gamma(x)\\Gamma(y)/\\Gamma(x+y). @@ -3832,6 +4409,7 @@ popdisplay(d::Display) ("Mathematical Functions","Base","lbeta","lbeta(x, y) + Natural logarithm of the absolute value of the beta function \\log(|\\operatorname{B}(x,y)|). @@ -3839,6 +4417,7 @@ popdisplay(d::Display) ("Mathematical Functions","Base","eta","eta(x) + Dirichlet eta function \\eta(s) = \\sum^\\infty_{n=1}(-)^{n-1}/n^{s}. @@ -3846,12 +4425,14 @@ popdisplay(d::Display) ("Mathematical Functions","Base","zeta","zeta(x) + Riemann zeta function \\zeta(s). "), ("Mathematical Functions","Base","bitmix","bitmix(x, y) + Hash two integers into a single integer. Useful for constructing hash functions. @@ -3859,12 +4440,14 @@ popdisplay(d::Display) ("Mathematical Functions","Base","ndigits","ndigits(n, b) + Compute the number of digits in number \"n\" written in base \"b\". "), ("Data Formats","Base","bin","bin(n[, pad]) + Convert an integer to a binary string, optionally specifying a number of digits to pad to. @@ -3872,6 +4455,7 @@ popdisplay(d::Display) ("Data Formats","Base","hex","hex(n[, pad]) + Convert an integer to a hexadecimal string, optionally specifying a number of digits to pad to. @@ -3879,6 +4463,7 @@ popdisplay(d::Display) ("Data Formats","Base","dec","dec(n[, pad]) + Convert an integer to a decimal string, optionally specifying a number of digits to pad to. @@ -3886,6 +4471,7 @@ popdisplay(d::Display) ("Data Formats","Base","oct","oct(n[, pad]) + Convert an integer to an octal string, optionally specifying a number of digits to pad to. @@ -3893,6 +4479,7 @@ popdisplay(d::Display) ("Data Formats","Base","base","base(base, n[, pad]) + Convert an integer to a string in the given base, optionally specifying a number of digits to pad to. The base can be specified as either an integer, or as a \"Uint8\" array of character values @@ -3902,6 +4489,7 @@ popdisplay(d::Display) ("Data Formats","Base","digits","digits(n[, base][, pad]) + Returns an array of the digits of \"n\" in the given base, optionally padded with zeros to a specified size. More significant digits are at higher indexes, such that \"n == @@ -3911,12 +4499,14 @@ popdisplay(d::Display) ("Data Formats","Base","bits","bits(n) + A string giving the literal bit representation of a number. "), ("Data Formats","Base","parseint","parseint([type], str[, base]) + Parse a string as an integer in the given base (default 10), yielding a number of the specified type (default \"Int\"). @@ -3924,6 +4514,7 @@ popdisplay(d::Display) ("Data Formats","Base","parsefloat","parsefloat([type], str) + Parse a string as a decimal floating point number, yielding a number of the specified type. @@ -3931,6 +4522,7 @@ popdisplay(d::Display) ("Data Formats","Base","big","big(x) + Convert a number to a maximum precision representation (typically \"BigInt\" or \"BigFloat\") @@ -3938,12 +4530,14 @@ popdisplay(d::Display) ("Data Formats","Base","bool","bool(x) + Convert a number or numeric array to boolean "), ("Data Formats","Base","int","int(x) + Convert a number or array to the default integer type on your platform. Alternatively, \"x\" can be a string, which is parsed as an integer. @@ -3952,6 +4546,7 @@ popdisplay(d::Display) ("Data Formats","Base","uint","uint(x) + Convert a number or array to the default unsigned integer type on your platform. Alternatively, \"x\" can be a string, which is parsed as an unsigned integer. @@ -3960,6 +4555,7 @@ popdisplay(d::Display) ("Data Formats","Base","integer","integer(x) + Convert a number or array to integer type. If \"x\" is already of integer type it is unchanged, otherwise it converts it to the default integer type on your platform. @@ -3968,89 +4564,105 @@ popdisplay(d::Display) ("Data Formats","Base","signed","signed(x) + Convert a number to a signed integer "), ("Data Formats","Base","unsigned","unsigned(x) + Convert a number to an unsigned integer "), ("Data Formats","Base","int8","int8(x) + Convert a number or array to \"Int8\" data type "), ("Data Formats","Base","int16","int16(x) + Convert a number or array to \"Int16\" data type "), ("Data Formats","Base","int32","int32(x) + Convert a number or array to \"Int32\" data type "), ("Data Formats","Base","int64","int64(x) + Convert a number or array to \"Int64\" data type "), ("Data Formats","Base","int128","int128(x) + Convert a number or array to \"Int128\" data type "), ("Data Formats","Base","uint8","uint8(x) + Convert a number or array to \"Uint8\" data type "), ("Data Formats","Base","uint16","uint16(x) + Convert a number or array to \"Uint16\" data type "), ("Data Formats","Base","uint32","uint32(x) + Convert a number or array to \"Uint32\" data type "), ("Data Formats","Base","uint64","uint64(x) + Convert a number or array to \"Uint64\" data type "), ("Data Formats","Base","uint128","uint128(x) + Convert a number or array to \"Uint128\" data type "), ("Data Formats","Base","float32","float32(x) + Convert a number or array to \"Float32\" data type "), ("Data Formats","Base","float64","float64(x) + Convert a number or array to \"Float64\" data type "), -("Data Formats","Base","float32_isvalid","float32_isvalid(x, out::Vector{Float32}) -> Bool +("Data Formats","Base","float32_isvalid","float32_isvalid(x, +out::Vector{Float32}) -> Bool + Convert a number or array to \"Float32\" data type, returning true if successful. The result of the conversion is stored in @@ -4058,7 +4670,9 @@ popdisplay(d::Display) "), -("Data Formats","Base","float64_isvalid","float64_isvalid(x, out::Vector{Float64}) -> Bool +("Data Formats","Base","float64_isvalid","float64_isvalid(x, +out::Vector{Float64}) -> Bool + Convert a number or array to \"Float64\" data type, returning true if successful. The result of the conversion is stored in @@ -4068,6 +4682,7 @@ popdisplay(d::Display) ("Data Formats","Base","float","float(x) + Convert a number, array, or string to a \"FloatingPoint\" data type. For numeric data, the smallest suitable \"FloatingPoint\" type is used. For strings, it converts to \"Float64\". @@ -4076,6 +4691,7 @@ popdisplay(d::Display) ("Data Formats","Base","significand","significand(x) + Extract the significand(s) (a.k.a. mantissa), in binary representation, of a floating-point number or array. @@ -4086,12 +4702,14 @@ popdisplay(d::Display) ("Data Formats","Base","exponent","exponent(x) -> Int + Get the exponent of a normalized floating-point number. "), ("Data Formats","Base","isfloat64","isfloat64(x::Rational) + Tests whether \"x\" or all its elements can be losslessly represented as a \"Float64\" data type @@ -4099,36 +4717,42 @@ popdisplay(d::Display) ("Data Formats","Base","complex64","complex64(r, i) + Convert to \"r+i*im\" represented as a \"Complex64\" data type "), ("Data Formats","Base","complex128","complex128(r, i) + Convert to \"r+i*im\" represented as a \"Complex128\" data type "), ("Data Formats","Base","char","char(x) + Convert a number or array to \"Char\" data type "), ("Data Formats","Base","complex","complex(r, i) + Convert real numbers or arrays to complex "), ("Data Formats","Base","bswap","bswap(n) + Byte-swap an integer "), ("Data Formats","Base","num2hex","num2hex(f) + Get a hexadecimal string of the binary representation of a floating point number @@ -4136,6 +4760,7 @@ popdisplay(d::Display) ("Data Formats","Base","hex2num","hex2num(str) + Convert a hexadecimal string to the floating point number it represents @@ -4143,12 +4768,15 @@ popdisplay(d::Display) ("Data Formats","Base","hex2bytes","hex2bytes(s::ASCIIString) + Convert an arbitrarily long hexadecimal string to its binary representation. Returns an Array{Uint8, 1}, i.e. an array of bytes. "), -("Data Formats","Base","bytes2hex","bytes2hex(bin_arr::Array{Uint8, 1}) +("Data Formats","Base","bytes2hex","bytes2hex(bin_arr::Array{Uint8, +1}) + Convert an array of bytes to its hexadecimal representation. All characters are in lower-case. Returns an ASCIIString. @@ -4157,6 +4785,7 @@ popdisplay(d::Display) ("Numbers","Base","one","one(x) + Get the multiplicative identity element for the type of x (x can also specify the type itself). For matrices, returns an identity matrix of the appropriate size and type. @@ -4165,6 +4794,7 @@ popdisplay(d::Display) ("Numbers","Base","zero","zero(x) + Get the additive identity element for the type of x (x can also specify the type itself). @@ -4172,72 +4802,84 @@ popdisplay(d::Display) ("Numbers","Base","pi","pi + The constant pi "), ("Numbers","Base","im","im + The imaginary unit "), ("Numbers","Base","e","e + The constant e "), ("Numbers","Base","Inf","Inf + Positive infinity of type Float64 "), ("Numbers","Base","Inf32","Inf32 + Positive infinity of type Float32 "), ("Numbers","Base","NaN","NaN + A not-a-number value of type Float64 "), ("Numbers","Base","NaN32","NaN32 + A not-a-number value of type Float32 "), ("Numbers","Base","issubnormal","issubnormal(f) -> Bool + Test whether a floating point number is subnormal "), ("Numbers","Base","isfinite","isfinite(f) -> Bool + Test whether a number is finite "), ("Numbers","Base","isinf","isinf(f) + Test whether a number is infinite "), ("Numbers","Base","isnan","isnan(f) + Test whether a floating point number is not a number (NaN) "), ("Numbers","Base","inf","inf(f) + Returns infinity in the same floating point type as \"f\" (or \"f\" can by the type itself) @@ -4245,6 +4887,7 @@ popdisplay(d::Display) ("Numbers","Base","nan","nan(f) + Returns NaN in the same floating point type as \"f\" (or \"f\" can by the type itself) @@ -4252,18 +4895,21 @@ popdisplay(d::Display) ("Numbers","Base","nextfloat","nextfloat(f) + Get the next floating point number in lexicographic order "), ("Numbers","Base","prevfloat","prevfloat(f) -> Float + Get the previous floating point number in lexicographic order "), ("Numbers","Base","isinteger","isinteger(x) + Test whether \"x\" or all its elements are numerically equal to some integer @@ -4271,6 +4917,7 @@ popdisplay(d::Display) ("Numbers","Base","isreal","isreal(x) + Test whether \"x\" or all its elements are numerically equal to some real number @@ -4278,6 +4925,7 @@ popdisplay(d::Display) ("Numbers","Base","BigInt","BigInt(x) + Create an arbitrary precision integer. \"x\" may be an \"Int\" (or anything that can be converted to an \"Int\") or a \"String\". The usual mathematical operators are defined for this type, and results @@ -4287,6 +4935,7 @@ popdisplay(d::Display) ("Numbers","Base","BigFloat","BigFloat(x) + Create an arbitrary precision floating point number. \"x\" may be an \"Integer\", a \"Float64\", a \"String\" or a \"BigInt\". The usual mathematical operators are defined for this type, and results @@ -4296,6 +4945,7 @@ popdisplay(d::Display) ("Numbers","Base","count_ones","count_ones(x::Integer) -> Integer + Number of ones in the binary representation of \"x\". **Example**: \"count_ones(7) -> 3\" @@ -4304,13 +4954,16 @@ popdisplay(d::Display) ("Numbers","Base","count_zeros","count_zeros(x::Integer) -> Integer + Number of zeros in the binary representation of \"x\". **Example**: \"count_zeros(int32(2 ^ 16 - 1)) -> 16\" "), -("Numbers","Base","leading_zeros","leading_zeros(x::Integer) -> Integer +("Numbers","Base","leading_zeros","leading_zeros(x::Integer) -> +Integer + Number of zeros leading the binary representation of \"x\". @@ -4320,13 +4973,16 @@ popdisplay(d::Display) ("Numbers","Base","leading_ones","leading_ones(x::Integer) -> Integer + Number of ones leading the binary representation of \"x\". **Example**: \"leading_ones(int32(2 ^ 32 - 2)) -> 31\" "), -("Numbers","Base","trailing_zeros","trailing_zeros(x::Integer) -> Integer +("Numbers","Base","trailing_zeros","trailing_zeros(x::Integer) -> +Integer + Number of zeros trailing the binary representation of \"x\". @@ -4334,7 +4990,9 @@ popdisplay(d::Display) "), -("Numbers","Base","trailing_ones","trailing_ones(x::Integer) -> Integer +("Numbers","Base","trailing_ones","trailing_ones(x::Integer) -> +Integer + Number of ones trailing the binary representation of \"x\". @@ -4344,6 +5002,7 @@ popdisplay(d::Display) ("Numbers","Base","isprime","isprime(x::Integer) -> Bool + Returns \"true\" if \"x\" is prime, and \"false\" otherwise. **Example**: \"isprime(3) -> true\" @@ -4352,12 +5011,14 @@ popdisplay(d::Display) ("Numbers","Base","primes","primes(n) + Returns a collection of the prime numbers <= \"n\". "), ("Numbers","Base","isodd","isodd(x::Integer) -> Bool + Returns \"true\" if \"x\" is odd (that is, not divisible by 2), and \"false\" otherwise. @@ -4367,6 +5028,7 @@ popdisplay(d::Display) ("Numbers","Base","iseven","iseven(x::Integer) -> Bool + Returns \"true\" is \"x\" is even (that is, divisible by 2), and \"false\" otherwise. @@ -4376,6 +5038,7 @@ popdisplay(d::Display) ("BigFloats","Base","precision","precision(num::FloatingPoint) + Get the precision of a floating point number, as defined by the effective number of bits in the mantissa. @@ -4383,17 +5046,22 @@ popdisplay(d::Display) ("BigFloats","Base","get_bigfloat_precision","get_bigfloat_precision() + Get the precision (in bits) currently used for BigFloat arithmetic. "), -("BigFloats","Base","set_bigfloat_precision","set_bigfloat_precision(x::Int64) +("BigFloats","Base","set_bigfloat_precision","set_bigfloat_precision( +x::Int64) + Set the precision (in bits) to be used to BigFloat arithmetic. "), -("BigFloats","Base","with_bigfloat_precision","with_bigfloat_precision(f::Function, precision::Integer) +("BigFloats","Base","with_bigfloat_precision","with_bigfloat_precisio +n(f::Function, precision::Integer) + Change the BigFloat arithmetic precision (in bits) for the duration of \"f\". It is logically equivalent to: @@ -4407,20 +5075,25 @@ popdisplay(d::Display) ("BigFloats","Base","get_bigfloat_rounding","get_bigfloat_rounding() + Get the current BigFloat rounding mode. Valid modes are \"RoundToNearest\", \"RoundToZero\", \"RoundUp\", \"RoundDown\", \"RoundAwayZero\" "), -("BigFloats","Base","set_bigfloat_rounding","set_bigfloat_rounding(mode) +("BigFloats","Base","set_bigfloat_rounding","set_bigfloat_rounding(mo +de) + Set the BigFloat rounding mode. See get_bigfloat_rounding for available modes "), -("BigFloats","Base","with_bigfloat_rounding","with_bigfloat_rounding(f::Function, mode) +("BigFloats","Base","with_bigfloat_rounding","with_bigfloat_rounding( +f::Function, mode) + Change the BigFloat rounding mode for the duration of \"f\". See \"get_bigfloat_rounding\" for available rounding modes; see also @@ -4430,6 +5103,7 @@ popdisplay(d::Display) ("Random Numbers","Base","srand","srand([rng], seed) + Seed the RNG with a \"seed\", which may be an unsigned integer or a vector of unsigned integers. \"seed\" can even be a filename, in which case the seed is read from a file. If the argument \"rng\" is @@ -4439,6 +5113,7 @@ popdisplay(d::Display) ("Random Numbers","Base","MersenneTwister","MersenneTwister([seed]) + Create a \"MersenneTwister\" RNG object. Different RNG objects can have their own seeds, which may be useful for generating different streams of random numbers. @@ -4447,12 +5122,14 @@ popdisplay(d::Display) ("Random Numbers","Base","rand","rand() + Generate a \"Float64\" random number uniformly in [0,1) "), ("Random Numbers","Base","rand!","rand!([rng], A) + Populate the array A with random number generated from the specified RNG. @@ -4460,6 +5137,7 @@ popdisplay(d::Display) ("Random Numbers","Base","rand","rand(rng::AbstractRNG[, dims...]) + Generate a random \"Float64\" number or array of the size specified by dims, using the specified RNG object. Currently, \"MersenneTwister\" is the only available Random Number Generator @@ -4469,11 +5147,14 @@ popdisplay(d::Display) ("Random Numbers","Base","rand","rand(dims or [dims...]) + Generate a random \"Float64\" array of the size specified by dims "), -("Random Numbers","Base","rand","rand(Int32|Uint32|Int64|Uint64|Int128|Uint128[, dims...]) +("Random Numbers","Base","rand","rand(Int32|Uint32|Int64|Uint64|Int12 +8|Uint128[, dims...]) + Generate a random integer of the given type. Optionally, generate an array of random integers of the given type by specifying dims. @@ -4482,6 +5163,7 @@ popdisplay(d::Display) ("Random Numbers","Base","rand","rand(r[, dims...]) + Generate a random integer from the inclusive interval specified by \"Range1 r\" (for example, \"1:n\"). Optionally, generate a random integer array. @@ -4490,6 +5172,7 @@ popdisplay(d::Display) ("Random Numbers","Base","randbool","randbool([dims...]) + Generate a random boolean value. Optionally, generate an array of random boolean values. @@ -4497,6 +5180,7 @@ popdisplay(d::Display) ("Random Numbers","Base","randbool!","randbool!(A) + Fill an array with random boolean values. A may be an \"Array\" or a \"BitArray\". @@ -4504,6 +5188,7 @@ popdisplay(d::Display) ("Random Numbers","Base","randn","randn(dims or [dims...]) + Generate a normally-distributed random number with mean 0 and standard deviation 1. Optionally generate an array of normally- distributed random numbers. @@ -4512,6 +5197,7 @@ popdisplay(d::Display) ("Random Numbers","Base","randn!","randn!(A::Array{Float64, N}) + Fill the array A with normally-distributed (mean 0, standard deviation 1) random numbers. Also see the rand function. @@ -4519,6 +5205,7 @@ popdisplay(d::Display) ("Random Numbers","Base","randsym","randsym(n) + Generate a \"nxn\" symmetric array of normally-distributed random numbers with mean 0 and standard deviation 1. @@ -4526,30 +5213,35 @@ popdisplay(d::Display) ("Arrays","Base","ndims","ndims(A) -> Integer + Returns the number of dimensions of A "), ("Arrays","Base","size","size(A) + Returns a tuple containing the dimensions of A "), ("Arrays","Base","eltype","eltype(A) + Returns the type of the elements contained in A "), ("Arrays","Base","iseltype","iseltype(A, T) + Tests whether A or its elements are of type T "), ("Arrays","Base","length","length(A) -> Integer + Returns the number of elements in A (note that this differs from MATLAB where \"length(A)\" is the largest dimension of \"A\") @@ -4557,18 +5249,21 @@ popdisplay(d::Display) ("Arrays","Base","nnz","nnz(A) + Counts the number of nonzero values in array A (dense or sparse) "), ("Arrays","Base","conj!","conj!(A) + Convert an array to its complex conjugate in-place "), ("Arrays","Base","stride","stride(A, k) + Returns the distance in memory (in number of elements) between adjacent elements in dimension k @@ -4576,12 +5271,14 @@ popdisplay(d::Display) ("Arrays","Base","strides","strides(A) + Returns a tuple of the memory strides in each dimension "), ("Arrays","Base","ind2sub","ind2sub(dims, index) -> subscripts + Returns a tuple of subscripts into an array with dimensions \"dims\", corresponding to the linear index \"index\" @@ -4592,6 +5289,7 @@ popdisplay(d::Display) ("Arrays","Base","sub2ind","sub2ind(dims, i, j, k...) -> index + The inverse of \"ind2sub\", returns the linear index corresponding to the provided subscripts @@ -4599,6 +5297,7 @@ popdisplay(d::Display) ("Arrays","Base","Array","Array(type, dims) + Construct an uninitialized dense array. \"dims\" may be a tuple or a series of integer arguments. @@ -4606,6 +5305,7 @@ popdisplay(d::Display) ("Arrays","Base","getindex","getindex(type[, elements...]) + Construct a 1-d array of the specified type. This is usually called with the syntax \"Type[]\". Element values can be specified using \"Type[a,b,c,...]\". @@ -4614,6 +5314,7 @@ popdisplay(d::Display) ("Arrays","Base","cell","cell(dims) + Construct an uninitialized cell array (heterogeneous array). \"dims\" can be either a tuple or a series of integer arguments. @@ -4621,18 +5322,21 @@ popdisplay(d::Display) ("Arrays","Base","zeros","zeros(type, dims) + Create an array of all zeros of specified type "), ("Arrays","Base","ones","ones(type, dims) + Create an array of all ones of specified type "), ("Arrays","Base","infs","infs(type, dims) + Create an array where every element is infinite and of the specified type @@ -4640,36 +5344,42 @@ popdisplay(d::Display) ("Arrays","Base","nans","nans(type, dims) + Create an array where every element is NaN of the specified type "), ("Arrays","Base","trues","trues(dims) + Create a Bool array with all values set to true "), ("Arrays","Base","falses","falses(dims) + Create a Bool array with all values set to false "), ("Arrays","Base","fill","fill(v, dims) + Create an array filled with \"v\" "), ("Arrays","Base","fill!","fill!(A, x) + Fill array \"A\" with value \"x\" "), ("Arrays","Base","reshape","reshape(A, dims) + Create an array with the same data as the given array, but with different dimensions. An implementation for a particular type of array may choose whether the data is copied or shared. @@ -4678,6 +5388,7 @@ popdisplay(d::Display) ("Arrays","Base","similar","similar(array, element_type, dims) + Create an uninitialized array of the same type as the given array, but with the specified element type and dimensions. The second and third arguments are both optional. The \"dims\" argument may be a @@ -4687,6 +5398,7 @@ popdisplay(d::Display) ("Arrays","Base","reinterpret","reinterpret(type, A) + Change the type-interpretation of a block of memory. For example, \"reinterpret(Float32, uint32(7))\" interprets the 4 bytes corresponding to \"uint32(7)\" as a \"Float32\". For arrays, this @@ -4697,18 +5409,21 @@ popdisplay(d::Display) ("Arrays","Base","eye","eye(n) + n-by-n identity matrix "), ("Arrays","Base","eye","eye(m, n) + m-by-n identity matrix "), ("Arrays","Base","linspace","linspace(start, stop, n) + Construct a vector of \"n\" linearly-spaced elements from \"start\" to \"stop\". @@ -4716,6 +5431,7 @@ popdisplay(d::Display) ("Arrays","Base","logspace","logspace(start, stop, n) + Construct a vector of \"n\" logarithmically-spaced numbers from \"10^start\" to \"10^stop\". @@ -4723,6 +5439,7 @@ popdisplay(d::Display) ("Arrays","Base","broadcast","broadcast(f, As...) + Broadcasts the arrays \"As\" to a common size by expanding singleton dimensions, and returns an array of the results \"f(as...)\" for each position. @@ -4731,12 +5448,14 @@ popdisplay(d::Display) ("Arrays","Base","broadcast!","broadcast!(f, dest, As...) + Like \"broadcast\", but store the result in the \"dest\" array. "), ("Arrays","Base","broadcast_function","broadcast_function(f) + Returns a function \"broadcast_f\" such that \"broadcast_function(f)(As...) === broadcast(f, As...)\". Most useful in the form \"const broadcast_f = broadcast_function(f)\". @@ -4745,12 +5464,14 @@ popdisplay(d::Display) ("Arrays","Base","broadcast!_function","broadcast!_function(f) + Like \"broadcast_function\", but for \"broadcast!\". "), ("Arrays","Base","getindex","getindex(A, inds...) + Returns a subset of array \"A\" as specified by \"inds\", where each \"ind\" may be an \"Int\", a \"Range\", or a \"Vector\". @@ -4758,6 +5479,7 @@ popdisplay(d::Display) ("Arrays","Base","sub","sub(A, inds...) + Returns a SubArray, which stores the input \"A\" and \"inds\" rather than computing the result immediately. Calling \"getindex\" on a SubArray computes the indices on the fly. @@ -4766,6 +5488,7 @@ popdisplay(d::Display) ("Arrays","Base","parent","parent(A) + Returns the \"parent array\" of an array view type (e.g., SubArray), or the array itself if it is not a view @@ -4773,6 +5496,7 @@ popdisplay(d::Display) ("Arrays","Base","parentindexes","parentindexes(A) + From an array view \"A\", returns the corresponding indexes in the parent @@ -4780,6 +5504,7 @@ popdisplay(d::Display) ("Arrays","Base","slicedim","slicedim(A, d, i) + Return all the data of \"A\" where the index for dimension \"d\" equals \"i\". Equivalent to \"A[:,:,...,i,:,:,...]\" where \"i\" is in position \"d\". @@ -4788,6 +5513,7 @@ popdisplay(d::Display) ("Arrays","Base","setindex!","setindex!(A, X, inds...) + Store values from array \"X\" within some subset of \"A\" as specified by \"inds\". @@ -4795,13 +5521,16 @@ popdisplay(d::Display) ("Arrays","Base","broadcast_getindex","broadcast_getindex(A, inds...) + Broadcasts the \"inds\" arrays to a common size like \"broadcast\", and returns an array of the results \"A[ks...]\", where \"ks\" goes over the positions in the broadcast. "), -("Arrays","Base","broadcast_setindex!","broadcast_setindex!(A, X, inds...) +("Arrays","Base","broadcast_setindex!","broadcast_setindex!(A, X, +inds...) + Broadcasts the \"X\" and \"inds\" arrays to a common size and stores the value from each position in \"X\" at the indices given @@ -4811,24 +5540,28 @@ popdisplay(d::Display) ("Arrays","Base","cat","cat(dim, A...) + Concatenate the input arrays along the specified dimension "), ("Arrays","Base","vcat","vcat(A...) + Concatenate along dimension 1 "), ("Arrays","Base","hcat","hcat(A...) + Concatenate along dimension 2 "), ("Arrays","Base","hvcat","hvcat(rows::(Int...), values...) + Horizontal and vertical concatenation in one call. This function is called for block matrix syntax. The first argument specifies the number of arguments to concatenate in each block row. For example, @@ -4838,24 +5571,28 @@ popdisplay(d::Display) ("Arrays","Base","flipdim","flipdim(A, d) + Reverse \"A\" in dimension \"d\". "), ("Arrays","Base","flipud","flipud(A) + Equivalent to \"flipdim(A,1)\". "), ("Arrays","Base","fliplr","fliplr(A) + Equivalent to \"flipdim(A,2)\". "), ("Arrays","Base","circshift","circshift(A, shifts) + Circularly shift the data in an array. The second argument is a vector giving the amount to shift in each dimension. @@ -4863,12 +5600,14 @@ popdisplay(d::Display) ("Arrays","Base","find","find(A) + Return a vector of the linear indexes of the non-zeros in \"A\". "), ("Arrays","Base","find","find(f, A) + Return a vector of the linear indexes of \"A\" where \"f\" returns true. @@ -4876,6 +5615,7 @@ popdisplay(d::Display) ("Arrays","Base","findn","findn(A) + Return a vector of indexes for each dimension giving the locations of the non-zeros in \"A\". @@ -4883,24 +5623,28 @@ popdisplay(d::Display) ("Arrays","Base","nonzeros","nonzeros(A) + Return a vector of the non-zero values in array \"A\". "), ("Arrays","Base","findfirst","findfirst(A) + Return the index of the first non-zero value in \"A\". "), ("Arrays","Base","findfirst","findfirst(A, v) + Return the index of the first element equal to \"v\" in \"A\". "), ("Arrays","Base","findfirst","findfirst(predicate, A) + Return the index of the first element that satisfies the given predicate in \"A\". @@ -4908,6 +5652,7 @@ popdisplay(d::Display) ("Arrays","Base","permutedims","permutedims(A, perm) + Permute the dimensions of array \"A\". \"perm\" is a vector specifying a permutation of length \"ndims(A)\". This is a generalization of transpose for multi-dimensional arrays. Transpose @@ -4917,6 +5662,7 @@ popdisplay(d::Display) ("Arrays","Base","ipermutedims","ipermutedims(A, perm) + Like \"permutedims()\", except the inverse of the given permutation is applied. @@ -4924,30 +5670,35 @@ popdisplay(d::Display) ("Arrays","Base","squeeze","squeeze(A, dims) + Remove the dimensions specified by \"dims\" from array \"A\" "), ("Arrays","Base","vec","vec(Array) -> Vector + Vectorize an array using column-major convention. "), ("Arrays","Base","cumprod","cumprod(A[, dim]) + Cumulative product along a dimension. "), ("Arrays","Base","cumsum","cumsum(A[, dim]) + Cumulative sum along a dimension. "), ("Arrays","Base","cumsum_kbn","cumsum_kbn(A[, dim]) + Cumulative sum along a dimension, using the Kahan-Babuska-Neumaier compensated summation algorithm for additional accuracy. @@ -4955,42 +5706,49 @@ popdisplay(d::Display) ("Arrays","Base","cummin","cummin(A[, dim]) + Cumulative minimum along a dimension. "), ("Arrays","Base","cummax","cummax(A[, dim]) + Cumulative maximum along a dimension. "), ("Arrays","Base","diff","diff(A[, dim]) + Finite difference operator of matrix or vector. "), ("Arrays","Base","rot180","rot180(A) + Rotate matrix \"A\" 180 degrees. "), ("Arrays","Base","rotl90","rotl90(A) + Rotate matrix \"A\" left 90 degrees. "), ("Arrays","Base","rotr90","rotr90(A) + Rotate matrix \"A\" right 90 degrees. "), ("Arrays","Base","reducedim","reducedim(f, A, dims, initial) + Reduce 2-argument function \"f\" along dimensions of \"A\". \"dims\" is a vector specifying the dimensions to reduce, and \"initial\" is the initial value to use in the reductions. @@ -5003,6 +5761,7 @@ popdisplay(d::Display) ("Arrays","Base","mapslices","mapslices(f, A, dims) + Transform the given dimensions of array \"A\" using function \"f\". \"f\" is called on each slice of \"A\" of the form \"A[...,:,...,:,...]\". \"dims\" is an integer vector specifying @@ -5015,18 +5774,23 @@ popdisplay(d::Display) ("Arrays","Base","sum_kbn","sum_kbn(A) + Returns the sum of all array elements, using the Kahan-Babuska- Neumaier compensated summation algorithm for additional accuracy. "), -("Arrays","Base","bitpack","bitpack(A::AbstractArray{T, N}) -> BitArray +("Arrays","Base","bitpack","bitpack(A::AbstractArray{T, N}) -> +BitArray + Converts a numeric array to a packed boolean array "), -("Arrays","Base","bitunpack","bitunpack(B::BitArray{N}) -> Array{Bool,N} +("Arrays","Base","bitunpack","bitunpack(B::BitArray{N}) -> +Array{Bool,N} + Converts a packed boolean array to an array of booleans @@ -5034,54 +5798,63 @@ popdisplay(d::Display) ("Arrays","Base","flipbits!","flipbits!(B::BitArray{N}) -> BitArray{N} + Performs a bitwise not operation on B. See *~ operator*. "), ("Arrays","Base","rol","rol(B::BitArray{1}, i::Integer) -> BitArray{1} + Left rotation operator. "), ("Arrays","Base","ror","ror(B::BitArray{1}, i::Integer) -> BitArray{1} + Right rotation operator. "), ("Combinatorics","Base","nthperm","nthperm(v, k) + Compute the kth lexicographic permutation of a vector. "), ("Combinatorics","Base","nthperm!","nthperm!(v, k) + In-place version of \"nthperm()\". "), ("Combinatorics","Base","randperm","randperm(n) + Construct a random permutation of the given length. "), ("Combinatorics","Base","invperm","invperm(v) + Return the inverse permutation of v. "), ("Combinatorics","Base","isperm","isperm(v) -> Bool + Returns true if v is a valid permutation. "), ("Combinatorics","Base","permute!","permute!(v, p) + Permute vector \"v\" in-place, according to permutation \"p\". No checking is done to verify that \"p\" is a permutation. @@ -5092,35 +5865,43 @@ popdisplay(d::Display) ("Combinatorics","Base","ipermute!","ipermute!(v, p) + Like permute!, but the inverse of the given permutation is applied. "), ("Combinatorics","Base","randcycle","randcycle(n) + Construct a random cyclic permutation of the given length. "), ("Combinatorics","Base","shuffle","shuffle(v) + Return a randomly permuted copy of \"v\". "), ("Combinatorics","Base","shuffle!","shuffle!(v) + In-place version of \"shuffle()\". "), -("Combinatorics","Base","reverse","reverse(v[, start=1[, stop=length(v)]]) +("Combinatorics","Base","reverse","reverse(v[, start=1[, +stop=length(v)]]) + Return a copy of \"v\" reversed from start to stop. "), -("Combinatorics","Base","reverse!","reverse!(v[, start=1[, stop=length(v)]]) -> v +("Combinatorics","Base","reverse!","reverse!(v[, start=1[, +stop=length(v)]]) -> v + In-place version of \"reverse()\". @@ -5128,6 +5909,7 @@ popdisplay(d::Display) ("Combinatorics","Base","combinations","combinations(itr, n) + Generate all combinations of \"n\" elements from a given iterable object. Because the number of combinations can be very large, this function returns an iterator object. Use @@ -5137,6 +5919,7 @@ popdisplay(d::Display) ("Combinatorics","Base","permutations","permutations(itr) + Generate all permutations of a given iterable object. Because the number of permutations can be very large, this function returns an iterator object. Use \"collect(permutations(a,n))\" to get an array @@ -5146,6 +5929,7 @@ popdisplay(d::Display) ("Combinatorics","Base","partitions","partitions(n) + Generate all integer arrays that sum to \"n\". Because the number of partitions can be very large, this function returns an iterator object. Use \"collect(partitions(n))\" to get an array of all @@ -5156,6 +5940,7 @@ popdisplay(d::Display) ("Combinatorics","Base","partitions","partitions(n, m) + Generate all arrays of \"m\" integers that sum to \"n\". Because the number of partitions can be very large, this function returns an iterator object. Use \"collect(partitions(n,m))\" to get an @@ -5166,6 +5951,7 @@ popdisplay(d::Display) ("Combinatorics","Base","partitions","partitions(array) + Generate all set partitions of the elements of an array, represented as arrays of arrays. Because the number of partitions can be very large, this function returns an iterator object. Use @@ -5177,6 +5963,7 @@ popdisplay(d::Display) ("Statistics","Base","mean","mean(v[, region]) + Compute the mean of whole array \"v\", or optionally along the dimensions in \"region\". @@ -5184,6 +5971,7 @@ popdisplay(d::Display) ("Statistics","Base","std","std(v[, region]) + Compute the sample standard deviation of a vector or array \"v\", optionally along dimensions in \"region\". The algorithm returns an estimator of the generative distribution's standard deviation under @@ -5195,6 +5983,7 @@ popdisplay(d::Display) ("Statistics","Base","stdm","stdm(v, m) + Compute the sample standard deviation of a vector \"v\" with known mean \"m\". @@ -5202,6 +5991,7 @@ popdisplay(d::Display) ("Statistics","Base","var","var(v[, region]) + Compute the sample variance of a vector or array \"v\", optionally along dimensions in \"region\". The algorithm will return an estimator of the generative distribution's variance under the @@ -5213,6 +6003,7 @@ popdisplay(d::Display) ("Statistics","Base","varm","varm(v, m) + Compute the sample variance of a vector \"v\" with known mean \"m\". @@ -5220,12 +6011,14 @@ popdisplay(d::Display) ("Statistics","Base","median","median(v) + Compute the median of a vector \"v\". "), ("Statistics","Base","hist","hist(v[, n]) -> e, counts + Compute the histogram of \"v\", optionally using approximately \"n\" bins. The return values are a range \"e\", which correspond to the edges of the bins, and \"counts\" containing the number of @@ -5235,6 +6028,7 @@ popdisplay(d::Display) ("Statistics","Base","hist","hist(v, e) -> e, counts + Compute the histogram of \"v\" using a vector/range \"e\" as the edges for the bins. The result will be a vector of length \"length(e) - 1\", such that the element at location \"i\" @@ -5244,6 +6038,7 @@ popdisplay(d::Display) ("Statistics","Base","histrange","histrange(v, n) + Compute *nice* bin ranges for the edges of a histogram of \"v\", using approximately \"n\" bins. The resulting step sizes will be 1, 2 or 5 multiplied by a power of 10. @@ -5252,6 +6047,7 @@ popdisplay(d::Display) ("Statistics","Base","midpoints","midpoints(e) + Compute the midpoints of the bins with edges \"e\". The result is a vector/range of length \"length(e) - 1\". @@ -5259,6 +6055,7 @@ popdisplay(d::Display) ("Statistics","Base","quantile","quantile(v, p) + Compute the quantiles of a vector \"v\" at a specified set of probability values \"p\". @@ -5266,6 +6063,7 @@ popdisplay(d::Display) ("Statistics","Base","quantile","quantile(v) + Compute the quantiles of a vector \"v\" at the probability values \"[.0, .2, .4, .6, .8, 1.0]\". @@ -5273,6 +6071,7 @@ popdisplay(d::Display) ("Statistics","Base","cov","cov(v1[, v2]) + Compute the Pearson covariance between two vectors \"v1\" and \"v2\". If called with a single element \"v\", then computes covariance of columns of \"v\". @@ -5281,6 +6080,7 @@ popdisplay(d::Display) ("Statistics","Base","cor","cor(v1[, v2]) + Compute the Pearson correlation between two vectors \"v1\" and \"v2\". If called with a single element \"v\", then computes correlation of columns of \"v\". @@ -5289,6 +6089,7 @@ popdisplay(d::Display) ("Signal Processing","Base","fft","fft(A[, dims]) + Performs a multidimensional FFT of the array \"A\". The optional \"dims\" argument specifies an iterable subset of dimensions (e.g. an integer, range, tuple, or array) to transform along. Most @@ -5307,6 +6108,7 @@ popdisplay(d::Display) ("Signal Processing","Base","fft!","fft!(A[, dims]) + Same as \"fft()\", but operates in-place on \"A\", which must be an array of complex floating-point numbers. @@ -5314,6 +6116,7 @@ popdisplay(d::Display) ("Signal Processing","Base","ifft","ifft(A[, dims]) + Multidimensional inverse FFT. A one-dimensional backward FFT computes \\operatorname{BDFT}[k] = @@ -5327,12 +6130,14 @@ popdisplay(d::Display) ("Signal Processing","Base","ifft!","ifft!(A[, dims]) + Same as \"ifft()\", but operates in-place on \"A\". "), ("Signal Processing","Base","bfft","bfft(A[, dims]) + Similar to \"ifft()\", but computes an unnormalized inverse (backward) transform, which must be divided by the product of the sizes of the transformed dimensions in order to obtain the inverse. @@ -5344,11 +6149,14 @@ popdisplay(d::Display) ("Signal Processing","Base","bfft!","bfft!(A[, dims]) + Same as \"bfft()\", but operates in-place on \"A\". "), -("Signal Processing","Base","plan_fft","plan_fft(A[, dims[, flags[, timelimit]]]) +("Signal Processing","Base","plan_fft","plan_fft(A[, dims[, flags[, +timelimit]]]) + Pre-plan an optimized FFT along given dimensions (\"dims\") of arrays matching the shape and type of \"A\". (The first two @@ -5373,33 +6181,43 @@ popdisplay(d::Display) "), -("Signal Processing","Base","plan_ifft","plan_ifft(A[, dims[, flags[, timelimit]]]) +("Signal Processing","Base","plan_ifft","plan_ifft(A[, dims[, flags[, +timelimit]]]) + Same as \"plan_fft()\", but produces a plan that performs inverse transforms \"ifft()\". "), -("Signal Processing","Base","plan_bfft","plan_bfft(A[, dims[, flags[, timelimit]]]) +("Signal Processing","Base","plan_bfft","plan_bfft(A[, dims[, flags[, +timelimit]]]) + Same as \"plan_fft()\", but produces a plan that performs an unnormalized backwards transform \"bfft()\". "), -("Signal Processing","Base","plan_fft!","plan_fft!(A[, dims[, flags[, timelimit]]]) +("Signal Processing","Base","plan_fft!","plan_fft!(A[, dims[, flags[, +timelimit]]]) + Same as \"plan_fft()\", but operates in-place on \"A\". "), -("Signal Processing","Base","plan_ifft!","plan_ifft!(A[, dims[, flags[, timelimit]]]) +("Signal Processing","Base","plan_ifft!","plan_ifft!(A[, dims[, +flags[, timelimit]]]) + Same as \"plan_ifft()\", but operates in-place on \"A\". "), -("Signal Processing","Base","plan_bfft!","plan_bfft!(A[, dims[, flags[, timelimit]]]) +("Signal Processing","Base","plan_bfft!","plan_bfft!(A[, dims[, +flags[, timelimit]]]) + Same as \"plan_bfft()\", but operates in-place on \"A\". @@ -5407,6 +6225,7 @@ popdisplay(d::Display) ("Signal Processing","Base","rfft","rfft(A[, dims]) + Multidimensional FFT of a real array A, exploiting the fact that the transform has conjugate symmetry in order to save roughly half the computational time and storage costs compared with \"fft()\". @@ -5423,6 +6242,7 @@ popdisplay(d::Display) ("Signal Processing","Base","irfft","irfft(A, d[, dims]) + Inverse of \"rfft()\": for a complex array \"A\", gives the corresponding real array whose FFT yields \"A\" in the first half. As for \"rfft()\", \"dims\" is an optional subset of dimensions to @@ -5438,6 +6258,7 @@ popdisplay(d::Display) ("Signal Processing","Base","brfft","brfft(A, d[, dims]) + Similar to \"irfft()\" but computes an unnormalized inverse transform (similar to \"bfft()\"), which must be divided by the product of the sizes of the transformed dimensions (of the real @@ -5445,7 +6266,9 @@ popdisplay(d::Display) "), -("Signal Processing","Base","plan_rfft","plan_rfft(A[, dims[, flags[, timelimit]]]) +("Signal Processing","Base","plan_rfft","plan_rfft(A[, dims[, flags[, +timelimit]]]) + Pre-plan an optimized real-input FFT, similar to \"plan_fft()\" except for \"rfft()\" instead of \"fft()\". The first two @@ -5454,7 +6277,9 @@ popdisplay(d::Display) "), -("Signal Processing","Base","plan_brfft","plan_brfft(A, d[, dims[, flags[, timelimit]]]) +("Signal Processing","Base","plan_brfft","plan_brfft(A, d[, dims[, +flags[, timelimit]]]) + Pre-plan an optimized real-input unnormalized transform, similar to \"plan_rfft()\" except for \"brfft()\" instead of \"rfft()\". The @@ -5463,7 +6288,9 @@ popdisplay(d::Display) "), -("Signal Processing","Base","plan_irfft","plan_irfft(A, d[, dims[, flags[, timelimit]]]) +("Signal Processing","Base","plan_irfft","plan_irfft(A, d[, dims[, +flags[, timelimit]]]) + Pre-plan an optimized inverse real-input FFT, similar to \"plan_rfft()\" except for \"irfft()\" and \"brfft()\", @@ -5474,6 +6301,7 @@ popdisplay(d::Display) ("Signal Processing","Base","dct","dct(A[, dims]) + Performs a multidimensional type-II discrete cosine transform (DCT) of the array \"A\", using the unitary normalization of the DCT. The optional \"dims\" argument specifies an iterable subset of @@ -5486,6 +6314,7 @@ popdisplay(d::Display) ("Signal Processing","Base","dct!","dct!(A[, dims]) + Same as \"dct!()\", except that it operates in-place on \"A\", which must be an array of real or complex floating-point values. @@ -5493,6 +6322,7 @@ popdisplay(d::Display) ("Signal Processing","Base","idct","idct(A[, dims]) + Computes the multidimensional inverse discrete cosine transform (DCT) of the array \"A\" (technically, a type-III DCT with the unitary normalization). The optional \"dims\" argument specifies an @@ -5506,11 +6336,14 @@ popdisplay(d::Display) ("Signal Processing","Base","idct!","idct!(A[, dims]) + Same as \"idct!()\", but operates in-place on \"A\". "), -("Signal Processing","Base","plan_dct","plan_dct(A[, dims[, flags[, timelimit]]]) +("Signal Processing","Base","plan_dct","plan_dct(A[, dims[, flags[, +timelimit]]]) + Pre-plan an optimized discrete cosine transform (DCT), similar to \"plan_fft()\" except producing a function that computes \"dct()\". @@ -5518,13 +6351,17 @@ popdisplay(d::Display) "), -("Signal Processing","Base","plan_dct!","plan_dct!(A[, dims[, flags[, timelimit]]]) +("Signal Processing","Base","plan_dct!","plan_dct!(A[, dims[, flags[, +timelimit]]]) + Same as \"plan_dct()\", but operates in-place on \"A\". "), -("Signal Processing","Base","plan_idct","plan_idct(A[, dims[, flags[, timelimit]]]) +("Signal Processing","Base","plan_idct","plan_idct(A[, dims[, flags[, +timelimit]]]) + Pre-plan an optimized inverse discrete cosine transform (DCT), similar to \"plan_fft()\" except producing a function that computes @@ -5533,7 +6370,9 @@ popdisplay(d::Display) "), -("Signal Processing","Base","plan_idct!","plan_idct!(A[, dims[, flags[, timelimit]]]) +("Signal Processing","Base","plan_idct!","plan_idct!(A[, dims[, +flags[, timelimit]]]) + Same as \"plan_idct()\", but operates in-place on \"A\". @@ -5541,12 +6380,14 @@ popdisplay(d::Display) ("Signal Processing","Base","fftshift","fftshift(x) + Swap the first and second halves of each dimension of \"x\". "), ("Signal Processing","Base","fftshift","fftshift(x, dim) + Swap the first and second halves of the given dimension of array \"x\". @@ -5554,18 +6395,21 @@ popdisplay(d::Display) ("Signal Processing","Base","ifftshift","ifftshift(x[, dim]) + Undoes the effect of \"fftshift\". "), ("Signal Processing","Base","filt","filt(b, a, x) + Apply filter described by vectors \"a\" and \"b\" to vector \"x\". "), ("Signal Processing","Base","deconv","deconv(b, a) + Construct vector \"c\" such that \"b = conv(a,c) + r\". Equivalent to polynomial division. @@ -5573,12 +6417,14 @@ popdisplay(d::Display) ("Signal Processing","Base","conv","conv(u, v) + Convolution of two vectors. Uses FFT algorithm. "), ("Signal Processing","Base","conv2","conv2(u, v, A) + 2-D convolution of the matrix \"A\" with the 2-D separable kernel generated by the vectors \"u\" and \"v\". Uses 2-D FFT algorithm @@ -5586,6 +6432,7 @@ popdisplay(d::Display) ("Signal Processing","Base","conv2","conv2(B, A) + 2-D convolution of the matrix \"B\" with the matrix \"A\". Uses 2-D FFT algorithm @@ -5593,12 +6440,14 @@ popdisplay(d::Display) ("Signal Processing","Base","xcorr","xcorr(u, v) + Compute the cross-correlation of two vectors. "), ("Signal Processing","Base.FFTW","r2r","r2r(A, kind[, dims]) + Performs a multidimensional real-input/real-output (r2r) transform of type \"kind\" of the array \"A\", as defined in the FFTW manual. \"kind\" specifies either a discrete cosine transform of various @@ -5624,12 +6473,15 @@ popdisplay(d::Display) ("Signal Processing","Base.FFTW","r2r!","r2r!(A, kind[, dims]) + Same as \"r2r()\", but operates in-place on \"A\", which must be an array of real or complex floating-point numbers. "), -("Signal Processing","Base.FFTW","plan_r2r","plan_r2r(A, kind[, dims[, flags[, timelimit]]]) +("Signal Processing","Base.FFTW","plan_r2r","plan_r2r(A, kind[, dims[, +flags[, timelimit]]]) + Pre-plan an optimized r2r transform, similar to \"Base.plan_fft()\" except that the transforms (and the first three arguments) @@ -5637,13 +6489,17 @@ popdisplay(d::Display) "), -("Signal Processing","Base.FFTW","plan_r2r!","plan_r2r!(A, kind[, dims[, flags[, timelimit]]]) +("Signal Processing","Base.FFTW","plan_r2r!","plan_r2r!(A, kind[, +dims[, flags[, timelimit]]]) + Similar to \"Base.plan_fft()\", but corresponds to \"r2r!()\". "), -("Numerical Integration","Base","quadgk","quadgk(f, a, b, c...; reltol=sqrt(eps), abstol=0, maxevals=10^7, order=7) +("Numerical Integration","Base","quadgk","quadgk(f, a, b, c...; +reltol=sqrt(eps), abstol=0, maxevals=10^7, order=7) + Numerically integrate the function \"f(x)\" from \"a\" to \"b\", and optionally over additional intervals \"b\" to \"c\" and so on. @@ -5698,14 +6554,19 @@ popdisplay(d::Display) "), -("Parallel Computing","Base","addprocs","addprocs(n) -> List of process identifiers +("Parallel Computing","Base","addprocs","addprocs(n) -> List of +process identifiers + Add processes on the local machine. Can be used to take advantage of multiple cores. "), -("Parallel Computing","Base","addprocs","addprocs({\"host1\", \"host2\", ...}; tunnel=false, dir=JULIA_HOME, sshflags::Cmd=``, cman::ClusterManager) -> List of process identifiers +("Parallel Computing","Base","addprocs","addprocs({\"host1\", +\"host2\", ...}; tunnel=false, dir=JULIA_HOME, sshflags::Cmd=``, +cman::ClusterManager) -> List of process identifiers + Add processes on remote machines via SSH or a custom cluster manager. Requires julia to be installed in the same location on @@ -5734,12 +6595,14 @@ popdisplay(d::Display) ("Parallel Computing","Base","nprocs","nprocs() + Get the number of available processors. "), ("Parallel Computing","Base","nworkers","nworkers() + Get the number of available worker processors. This is one less than nprocs(). Equal to nprocs() if nprocs() == 1. @@ -5747,24 +6610,28 @@ popdisplay(d::Display) ("Parallel Computing","Base","procs","procs() + Returns a list of all process identifiers. "), ("Parallel Computing","Base","workers","workers() + Returns a list of all worker process identifiers. "), ("Parallel Computing","Base","rmprocs","rmprocs(pids...) + Removes the specified workers. "), ("Parallel Computing","Base","interrupt","interrupt([pids...]) + Interrupt the current executing task on the specified workers. This is equivalent to pressing Ctrl-C on the local machine. If no arguments are given, all workers are interrupted. @@ -5773,11 +6640,14 @@ popdisplay(d::Display) ("Parallel Computing","Base","myid","myid() + Get the id of the current processor. "), -("Parallel Computing","Base","pmap","pmap(f, lsts...; err_retry=true, err_stop=false) +("Parallel Computing","Base","pmap","pmap(f, lsts...; err_retry=true, +err_stop=false) + Transform collections \"lsts\" by applying \"f\" to each element in parallel. If \"nprocs() > 1\", the calling process will be @@ -5791,7 +6661,9 @@ popdisplay(d::Display) "), -("Parallel Computing","Base","remotecall","remotecall(id, func, args...) +("Parallel Computing","Base","remotecall","remotecall(id, func, +args...) + Call a function asynchronously on the given arguments on the specified processor. Returns a \"RemoteRef\". @@ -5800,6 +6672,7 @@ popdisplay(d::Display) ("Parallel Computing","Base","wait","wait(x) + Block the current task until some event occurs, depending on the type of the argument: @@ -5822,17 +6695,22 @@ popdisplay(d::Display) ("Parallel Computing","Base","fetch","fetch(RemoteRef) + Wait for and get the value of a remote reference. "), -("Parallel Computing","Base","remotecall_wait","remotecall_wait(id, func, args...) +("Parallel Computing","Base","remotecall_wait","remotecall_wait(id, +func, args...) + Perform \"wait(remotecall(...))\" in one message. "), -("Parallel Computing","Base","remotecall_fetch","remotecall_fetch(id, func, args...) +("Parallel Computing","Base","remotecall_fetch","remotecall_fetch(id, +func, args...) + Perform \"fetch(remotecall(...))\" in one message. @@ -5840,6 +6718,7 @@ popdisplay(d::Display) ("Parallel Computing","Base","put","put(RemoteRef, value) + Store a value to a remote reference. Implements \"shared queue of length 1\" semantics: if a value is already present, blocks until the value is removed with \"take\". @@ -5848,6 +6727,7 @@ popdisplay(d::Display) ("Parallel Computing","Base","take","take(RemoteRef) + Fetch the value of a remote reference, removing it so that the reference is empty again. @@ -5855,17 +6735,21 @@ popdisplay(d::Display) ("Parallel Computing","Base","RemoteRef","RemoteRef() + Make an uninitialized remote reference on the local machine. "), ("Parallel Computing","Base","RemoteRef","RemoteRef(n) + Make an uninitialized remote reference on processor \"n\". "), -("Parallel Computing","Base","timedwait","timedwait(testcb::Function, secs::Float64; pollint::Float64=0.1) +("Parallel Computing","Base","timedwait","timedwait(testcb::Function, +secs::Float64; pollint::Float64=0.1) + Waits till \"testcb\" returns \"true\" or for \"secs`\" seconds, whichever is earlier. \"testcb\" is polled every \"pollint\" @@ -5875,6 +6759,7 @@ popdisplay(d::Display) ("Parallel Computing","Base","@spawn","@spawn() + Execute an expression on an automatically-chosen processor, returning a \"RemoteRef\" to the result. @@ -5882,6 +6767,7 @@ popdisplay(d::Display) ("Parallel Computing","Base","@spawnat","@spawnat() + Accepts two arguments, \"p\" and an expression, and runs the expression asynchronously on processor \"p\", returning a \"RemoteRef\" to the result. @@ -5890,18 +6776,21 @@ popdisplay(d::Display) ("Parallel Computing","Base","@fetch","@fetch() + Equivalent to \"fetch(@spawn expr)\". "), ("Parallel Computing","Base","@fetchfrom","@fetchfrom() + Equivalent to \"fetch(@spawnat p expr)\". "), ("Parallel Computing","Base","@async","@async() + Schedule an expression to run on the local machine, also adding it to the set of items that the nearest enclosing \"@sync\" waits for. @@ -5909,12 +6798,15 @@ popdisplay(d::Display) ("Parallel Computing","Base","@sync","@sync() + Wait until all dynamically-enclosed uses of \"@async\", \"@spawn\", and \"@spawnat\" complete. "), -("Distributed Arrays","Base","DArray","DArray(init, dims[, procs, dist]) +("Distributed Arrays","Base","DArray","DArray(init, dims[, procs, +dist]) + Construct a distributed array. \"init\" is a function that accepts a tuple of index ranges. This function should allocate a local @@ -5933,6 +6825,7 @@ popdisplay(d::Display) ("Distributed Arrays","Base","dzeros","dzeros(dims, ...) + Construct a distributed array of zeros. Trailing arguments are the same as those accepted by \"darray\". @@ -5940,6 +6833,7 @@ popdisplay(d::Display) ("Distributed Arrays","Base","dones","dones(dims, ...) + Construct a distributed array of ones. Trailing arguments are the same as those accepted by \"darray\". @@ -5947,6 +6841,7 @@ popdisplay(d::Display) ("Distributed Arrays","Base","dfill","dfill(x, dims, ...) + Construct a distributed array filled with value \"x\". Trailing arguments are the same as those accepted by \"darray\". @@ -5954,6 +6849,7 @@ popdisplay(d::Display) ("Distributed Arrays","Base","drand","drand(dims, ...) + Construct a distributed uniform random array. Trailing arguments are the same as those accepted by \"darray\". @@ -5961,6 +6857,7 @@ popdisplay(d::Display) ("Distributed Arrays","Base","drandn","drandn(dims, ...) + Construct a distributed normal random array. Trailing arguments are the same as those accepted by \"darray\". @@ -5968,30 +6865,35 @@ popdisplay(d::Display) ("Distributed Arrays","Base","distribute","distribute(a) + Convert a local array to distributed "), ("Distributed Arrays","Base","localpart","localpart(d) + Get the local piece of a distributed array "), ("Distributed Arrays","Base","myindexes","myindexes(d) + A tuple describing the indexes owned by the local processor "), ("Distributed Arrays","Base","procs","procs(d) + Get the vector of processors storing pieces of \"d\" "), ("System","Base","run","run(command) + Run a command object, constructed with backticks. Throws an error if anything goes wrong, including the process exiting with a non- zero status. @@ -6000,6 +6902,7 @@ popdisplay(d::Display) ("System","Base","spawn","spawn(command) + Run a command object asynchronously, returning the resulting \"Process\" object. @@ -6007,6 +6910,7 @@ popdisplay(d::Display) ("System","Base","success","success(command) + Run a command object, constructed with backticks, and tell whether it was successful (exited with a code of 0). An exception is raised if the process cannot be started. @@ -6015,18 +6919,21 @@ popdisplay(d::Display) ("System","Base","process_running","process_running(p::Process) + Determine whether a process is currently running. "), ("System","Base","process_exited","process_exited(p::Process) + Determine whether a process has exited. "), ("System","Base","kill","kill(p::Process, signum=SIGTERM) + Send a signal to a process. The default is to terminate the process. @@ -6034,6 +6941,7 @@ popdisplay(d::Display) ("System","Base","readsfrom","readsfrom(command) + Starts running a command asynchronously, and returns a tuple (stream,process). The first value is a stream reading from the process' standard output. @@ -6042,6 +6950,7 @@ popdisplay(d::Display) ("System","Base","writesto","writesto(command) + Starts running a command asynchronously, and returns a tuple (stream,process). The first value is a stream writing to the process' standard input. @@ -6050,6 +6959,7 @@ popdisplay(d::Display) ("System","Base","readandwrite","readandwrite(command) + Starts running a command asynchronously, and returns a tuple (stdout,stdin,process) of the output stream and input stream of the process, and the process object itself. @@ -6058,6 +6968,7 @@ popdisplay(d::Display) ("System","Base","ignorestatus","ignorestatus(command) + Mark a command object so that running it will not throw an error if the result code is non-zero. @@ -6065,6 +6976,7 @@ popdisplay(d::Display) ("System","Base","detach","detach(command) + Mark a command object so that it will be run in a new process group, allowing it to outlive the julia process, and not have Ctrl-C interrupts passed to it. @@ -6072,6 +6984,7 @@ popdisplay(d::Display) "), ("System","Base","|>","|>(command, command) + |>(command, filename) |>(filename, command) @@ -6090,6 +7003,7 @@ popdisplay(d::Display) ("System","Base",">>",">>(command, filename) + Redirect standard output of a process, appending to the destination file. @@ -6097,18 +7011,21 @@ popdisplay(d::Display) ("System","Base",".>",".>(command, filename) + Redirect the standard error stream of a process. "), ("System","Base","gethostname","gethostname() -> String + Get the local machine's host name. "), ("System","Base","getipaddr","getipaddr() -> String + Get the IP address of the local machine, as a string of the form \"x.x.x.x\". @@ -6116,12 +7033,14 @@ popdisplay(d::Display) ("System","Base","pwd","pwd() -> String + Get the current working directory. "), ("System","Base","cd","cd(dir::String) + Set the current working directory. Returns the new current directory. @@ -6129,6 +7048,7 @@ popdisplay(d::Display) ("System","Base","cd","cd(f[, dir]) + Temporarily changes the current working directory (HOME if not specified) and applies function f before returning. @@ -6136,6 +7056,7 @@ popdisplay(d::Display) ("System","Base","mkdir","mkdir(path[, mode]) + Make a new directory with name \"path\" and permissions \"mode\". \"mode\" defaults to 0o777, modified by the current file creation mask. @@ -6144,6 +7065,7 @@ popdisplay(d::Display) ("System","Base","mkpath","mkpath(path[, mode]) + Create all directories in the given \"path\", with permissions \"mode\". \"mode\" defaults to 0o777, modified by the current file creation mask. @@ -6152,18 +7074,21 @@ popdisplay(d::Display) ("System","Base","rmdir","rmdir(path) + Remove the directory named \"path\". "), ("System","Base","getpid","getpid() -> Int32 + Get julia's process ID. "), ("System","Base","time","time([t::TmStruct]) + Get the system time in seconds since the epoch, with fairly high (typically, microsecond) resolution. When passed a \"TmStruct\", converts it to a number of seconds since the epoch. @@ -6172,6 +7097,7 @@ popdisplay(d::Display) ("System","Base","time_ns","time_ns() + Get the time in nanoseconds. The time corresponding to 0 is undefined, and wraps every 5.8 years. @@ -6179,6 +7105,7 @@ popdisplay(d::Display) ("System","Base","strftime","strftime([format], time) + Convert time, given as a number of seconds since the epoch or a \"TmStruct\", to a formatted string using the given format. Supported formats are the same as those in the standard C library. @@ -6187,6 +7114,7 @@ popdisplay(d::Display) ("System","Base","strptime","strptime([format], timestr) + Parse a formatted time string into a \"TmStruct\" giving the seconds, minute, hour, date, etc. Supported formats are the same as those in the standard C library. On some platforms, timezones will @@ -6200,6 +7128,7 @@ popdisplay(d::Display) ("System","Base","TmStruct","TmStruct([seconds]) + Convert a number of seconds since the epoch to broken-down format, with fields \"sec\", \"min\", \"hour\", \"mday\", \"month\", \"year\", \"wday\", \"yday\", and \"isdst\". @@ -6208,6 +7137,7 @@ popdisplay(d::Display) ("System","Base","tic","tic() + Set a timer to be read by the next call to \"toc()\" or \"toq()\". The macro call \"@time expr\" can also be used to time evaluation. @@ -6215,12 +7145,14 @@ popdisplay(d::Display) ("System","Base","toc","toc() + Print and return the time elapsed since the last \"tic()\". "), ("System","Base","toq","toq() + Return, but do not print, the time elapsed since the last \"tic()\". @@ -6228,6 +7160,7 @@ popdisplay(d::Display) ("System","Base","@time","@time() + A macro to execute and expression, printing time it took to execute and the total number of bytes its execution caused to be allocated, before returning the value of the expression. @@ -6236,6 +7169,7 @@ popdisplay(d::Display) ("System","Base","@elapsed","@elapsed() + A macro to evaluate an expression, discarding the resulting value, instead returning the number of seconds it took to execute as a floating-point number. @@ -6244,6 +7178,7 @@ popdisplay(d::Display) ("System","Base","@allocated","@allocated() + A macro to evaluate an expression, discarding the resulting value, instead returning the total number of bytes allocated during evaluation of the expression. @@ -6252,6 +7187,7 @@ popdisplay(d::Display) ("System","Base","EnvHash","EnvHash() -> EnvHash + A singleton of this type provides a hash table interface to environment variables. @@ -6259,6 +7195,7 @@ popdisplay(d::Display) ("System","Base","ENV","ENV + Reference to the singleton \"EnvHash\", providing a dictionary interface to system environment variables. @@ -6266,6 +7203,7 @@ popdisplay(d::Display) ("System","Base","@unix","@unix() + Given \"@unix? a : b\", do \"a\" on Unix systems (including Linux and OS X) and \"b\" elsewhere. See documentation for Handling Platform Variations in the Calling C and Fortran Code section of @@ -6275,6 +7213,7 @@ popdisplay(d::Display) ("System","Base","@osx","@osx() + Given \"@osx? a : b\", do \"a\" on OS X and \"b\" elsewhere. See documentation for Handling Platform Variations in the Calling C and Fortran Code section of the manual. @@ -6283,6 +7222,7 @@ popdisplay(d::Display) ("System","Base","@linux","@linux() + Given \"@linux? a : b\", do \"a\" on Linux and \"b\" elsewhere. See documentation for Handling Platform Variations in the Calling C and Fortran Code section of the manual. @@ -6291,13 +7231,16 @@ popdisplay(d::Display) ("System","Base","@windows","@windows() + Given \"@windows? a : b\", do \"a\" on Windows and \"b\" elsewhere. See documentation for Handling Platform Variations in the Calling C and Fortran Code section of the manual. "), -("C Interface","Base","ccall","ccall((symbol, library) or fptr, RetType, (ArgType1, ...), ArgVar1, ...) +("C Interface","Base","ccall","ccall((symbol, library) or fptr, +RetType, (ArgType1, ...), ArgVar1, ...) + Call function in C-exported shared library, specified by \"(function name, library)\" tuple, where each component is a @@ -6309,7 +7252,9 @@ popdisplay(d::Display) "), -("C Interface","Base","cglobal","cglobal((symbol, library) or ptr[, Type=Void]) +("C Interface","Base","cglobal","cglobal((symbol, library) or ptr[, +Type=Void]) + Obtain a pointer to a global variable in a C-exported shared library, specified exactly as in \"ccall\". Returns a @@ -6319,7 +7264,9 @@ popdisplay(d::Display) "), -("C Interface","Base","cfunction","cfunction(fun::Function, RetType::Type, (ArgTypes...)) +("C Interface","Base","cfunction","cfunction(fun::Function, +RetType::Type, (ArgTypes...)) + Generate C-callable function pointer from Julia function. Type annotation of the return value in the callback function is a must @@ -6338,7 +7285,9 @@ popdisplay(d::Display) "), -("C Interface","Base","dlopen","dlopen(libfile::String[, flags::Integer]) +("C Interface","Base","dlopen","dlopen(libfile::String[, +flags::Integer]) + Load a shared library, returning an opaque handle. @@ -6358,6 +7307,7 @@ popdisplay(d::Display) ("C Interface","Base","RTLD_DEEPBIND","RTLD_DEEPBIND + Enum constant for dlopen. See your platform man page for details, if applicable. @@ -6365,6 +7315,7 @@ popdisplay(d::Display) ("C Interface","Base","RTLD_FIRST","RTLD_FIRST + Enum constant for dlopen. See your platform man page for details, if applicable. @@ -6372,6 +7323,7 @@ popdisplay(d::Display) ("C Interface","Base","RTLD_GLOBAL","RTLD_GLOBAL + Enum constant for dlopen. See your platform man page for details, if applicable. @@ -6379,6 +7331,7 @@ popdisplay(d::Display) ("C Interface","Base","RTLD_LAZY","RTLD_LAZY + Enum constant for dlopen. See your platform man page for details, if applicable. @@ -6386,6 +7339,7 @@ popdisplay(d::Display) ("C Interface","Base","RTLD_LOCAL","RTLD_LOCAL + Enum constant for dlopen. See your platform man page for details, if applicable. @@ -6393,6 +7347,7 @@ popdisplay(d::Display) ("C Interface","Base","RTLD_NODELETE","RTLD_NODELETE + Enum constant for dlopen. See your platform man page for details, if applicable. @@ -6400,6 +7355,7 @@ popdisplay(d::Display) ("C Interface","Base","RTLD_NOLOAD","RTLD_NOLOAD + Enum constant for dlopen. See your platform man page for details, if applicable. @@ -6407,6 +7363,7 @@ popdisplay(d::Display) ("C Interface","Base","RTLD_NOW","RTLD_NOW + Enum constant for dlopen. See your platform man page for details, if applicable. @@ -6414,6 +7371,7 @@ popdisplay(d::Display) ("C Interface","Base","dlsym","dlsym(handle, sym) + Look up a symbol from a shared library handle, return callable function pointer on success. @@ -6421,6 +7379,7 @@ popdisplay(d::Display) ("C Interface","Base","dlsym_e","dlsym_e(handle, sym) + Look up a symbol from a shared library handle, silently return NULL pointer on lookup failure. @@ -6428,24 +7387,30 @@ popdisplay(d::Display) ("C Interface","Base","dlclose","dlclose(handle) + Close shared library referenced by handle. "), ("C Interface","Base","c_free","c_free(addr::Ptr) + Call free() from C standard library. "), -("C Interface","Base","unsafe_load","unsafe_load(p::Ptr{T}, i::Integer) +("C Interface","Base","unsafe_load","unsafe_load(p::Ptr{T}, +i::Integer) + Dereference the pointer \"p[i]\" or \"*p\", returning a copy of type T. "), -("C Interface","Base","unsafe_store!","unsafe_store!(p::Ptr{T}, x, i::Integer) +("C Interface","Base","unsafe_store!","unsafe_store!(p::Ptr{T}, x, +i::Integer) + Assign to the pointer \"p[i] = x\" or \"*p = x\", making a copy of object x into the memory at p. @@ -6454,6 +7419,7 @@ popdisplay(d::Display) ("C Interface","Base","pointer","pointer(a[, index]) + Get the native address of an array element. Be careful to ensure that a julia reference to \"a\" exists as long as this pointer will be used. @@ -6462,11 +7428,14 @@ popdisplay(d::Display) ("C Interface","Base","pointer","pointer(type, int) + Convert an integer to a pointer of the specified element type. "), -("C Interface","Base","pointer_to_array","pointer_to_array(p, dims[, own]) +("C Interface","Base","pointer_to_array","pointer_to_array(p, dims[, +own]) + Wrap a native pointer as a Julia Array object. The pointer element type determines the array element type. \"own\" optionally @@ -6478,6 +7447,7 @@ popdisplay(d::Display) ("C Interface","Base","disable_sigint","disable_sigint(f::Function) + Disable Ctrl-C handler during execution of a function, for calling external code that is not interrupt safe. Intended to be called using \"do\" block syntax as follows: @@ -6491,6 +7461,7 @@ popdisplay(d::Display) ("C Interface","Base","reenable_sigint","reenable_sigint(f::Function) + Re-enable Ctrl-C handler during execution of a function. Temporarily reverses the effect of \"disable_sigint\". @@ -6498,6 +7469,7 @@ popdisplay(d::Display) ("C Interface","Base","find_library","find_library(names, locations) + Searches for the first library in \"names\" in the paths in the \"locations\" list, \"DL_LOAD_PATH\", or system library paths (in that order) which can successfully be dlopen'd. On success, the @@ -6510,6 +7482,7 @@ popdisplay(d::Display) ("C Interface","Base","DL_LOAD_PATH","DL_LOAD_PATH + When calling \"dlopen\", the paths in this list will be searched first, in order, before searching the system locations for a valid library handle. @@ -6518,120 +7491,140 @@ popdisplay(d::Display) ("C Interface","Base","Cchar","Cchar + Equivalent to the native \"char\" c-type "), ("C Interface","Base","Cuchar","Cuchar + Equivalent to the native \"unsigned char\" c-type (Uint8) "), ("C Interface","Base","Cshort","Cshort + Equivalent to the native \"signed short\" c-type (Int16) "), ("C Interface","Base","Cushort","Cushort + Equivalent to the native \"unsigned short\" c-type (Uint16) "), ("C Interface","Base","Cint","Cint + Equivalent to the native \"signed int\" c-type (Int32) "), ("C Interface","Base","Cuint","Cuint + Equivalent to the native \"unsigned int\" c-type (Uint32) "), ("C Interface","Base","Clong","Clong + Equivalent to the native \"signed long\" c-type "), ("C Interface","Base","Culong","Culong + Equivalent to the native \"unsigned long\" c-type "), ("C Interface","Base","Clonglong","Clonglong + Equivalent to the native \"signed long long\" c-type (Int64) "), ("C Interface","Base","Culonglong","Culonglong + Equivalent to the native \"unsigned long long\" c-type (Uint64) "), ("C Interface","Base","Csize_t","Csize_t + Equivalent to the native \"size_t\" c-type (Uint) "), ("C Interface","Base","Cssize_t","Cssize_t + Equivalent to the native \"ssize_t\" c-type "), ("C Interface","Base","Cptrdiff_t","Cptrdiff_t + Equivalent to the native \"ptrdiff_t\" c-type (Int) "), ("C Interface","Base","Coff_t","Coff_t + Equivalent to the native \"off_t\" c-type "), ("C Interface","Base","Cwchar_t","Cwchar_t + Equivalent to the native \"wchar_t\" c-type (Int32) "), ("C Interface","Base","Cfloat","Cfloat + Equivalent to the native \"float\" c-type (Float32) "), ("C Interface","Base","Cdouble","Cdouble + Equivalent to the native \"double\" c-type (Float64) "), ("Errors","Base","error","error(message::String) + Raise an error with the given message "), ("Errors","Base","throw","throw(e) + Throw an object as an exception "), ("Errors","Base","rethrow","rethrow([e]) + Throw an object without changing the current exception backtrace. The default argument is the current exception (if called within a \"catch\" block). @@ -6640,12 +7633,14 @@ popdisplay(d::Display) ("Errors","Base","backtrace","backtrace() + Get a backtrace object for the current program point. "), ("Errors","Base","catch_backtrace","catch_backtrace() + Get the backtrace of the current exception, for use within \"catch\" blocks. @@ -6653,12 +7648,14 @@ popdisplay(d::Display) ("Errors","Base","errno","errno() + Get the value of the C library's \"errno\" "), ("Errors","Base","systemerror","systemerror(sysfunc, iftrue) + Raises a \"SystemError\" for \"errno\" with the descriptive string \"sysfunc\" if \"bool\" is true @@ -6666,12 +7663,14 @@ popdisplay(d::Display) ("Errors","Base","strerror","strerror(n) + Convert a system call error code to a descriptive string "), ("Errors","Base","assert","assert(cond[, text]) + Raise an error if \"cond\" is false. Also available as the macro \"@assert expr\". @@ -6679,6 +7678,7 @@ popdisplay(d::Display) ("Errors","Base","@assert","@assert() + Raise an error if \"cond\" is false. Preferred syntax for writings assertions. @@ -6686,12 +7686,14 @@ popdisplay(d::Display) ("Errors","Base","ArgumentError","ArgumentError + The parameters given to a function call are not valid. "), ("Errors","Base","BoundsError","BoundsError + An indexing operation into an array tried to access an out-of- bounds element. @@ -6699,12 +7701,14 @@ popdisplay(d::Display) ("Errors","Base","EOFError","EOFError + No more data was available to read from a file or stream. "), ("Errors","Base","ErrorException","ErrorException + Generic error type. The error message, in the *.msg* field, may provide more specific details. @@ -6712,6 +7716,7 @@ popdisplay(d::Display) ("Errors","Base","KeyError","KeyError + An indexing operation into an \"Associative\" (\"Dict\") or \"Set\" like object tried to access or delete a non-existent element. @@ -6719,6 +7724,7 @@ popdisplay(d::Display) ("Errors","Base","LoadError","LoadError + An error occurred while *including*, *requiring*, or *using* a file. The error specifics should be available in the *.error* field. @@ -6727,6 +7733,7 @@ popdisplay(d::Display) ("Errors","Base","MethodError","MethodError + A method with the required type signature does not exist in the given generic function. @@ -6734,6 +7741,7 @@ popdisplay(d::Display) ("Errors","Base","ParseError","ParseError + The expression passed to the *parse* function could not be interpreted as a valid Julia expression. @@ -6741,6 +7749,7 @@ popdisplay(d::Display) ("Errors","Base","ProcessExitedException","ProcessExitedException + After a client Julia process has exited, further attempts to reference the dead child will throw this exception. @@ -6748,6 +7757,7 @@ popdisplay(d::Display) ("Errors","Base","SystemError","SystemError + A system call failed with an error code (in the \"errno\" global variable). @@ -6755,6 +7765,7 @@ popdisplay(d::Display) ("Errors","Base","TypeError","TypeError + A type assertion failure, or calling an intrinsic function with an incorrect argument type. @@ -6762,6 +7773,7 @@ popdisplay(d::Display) ("Tasks","Base","Task","Task(func) + Create a \"Task\" (i.e. thread, or coroutine) to execute the given function. The task exits when this function returns. @@ -6769,6 +7781,7 @@ popdisplay(d::Display) ("Tasks","Base","yieldto","yieldto(task, args...) + Switch to the given task. The first time a task is switched to, the task's function is called with \"args\". On subsequent switches, \"args\" are returned from the task's last call to \"yieldto\". @@ -6777,24 +7790,28 @@ popdisplay(d::Display) ("Tasks","Base","current_task","current_task() + Get the currently running Task. "), ("Tasks","Base","istaskdone","istaskdone(task) + Tell whether a task has exited. "), ("Tasks","Base","consume","consume(task) + Receive the next value passed to \"produce\" by the specified task. "), ("Tasks","Base","produce","produce(value) + Send the given value to the last \"consume\" call, switching to the consumer task. @@ -6802,6 +7819,7 @@ popdisplay(d::Display) ("Tasks","Base","yield","yield() + For scheduled tasks, switch back to the scheduler to allow another scheduled task to run. A task that calls this function is still runnable, and will be restarted immediately if there are no other @@ -6811,12 +7829,15 @@ popdisplay(d::Display) ("Tasks","Base","task_local_storage","task_local_storage(symbol) + Look up the value of a symbol in the current task's task-local storage. "), -("Tasks","Base","task_local_storage","task_local_storage(symbol, value) +("Tasks","Base","task_local_storage","task_local_storage(symbol, +value) + Assign a value to a symbol in the current task's task-local storage. @@ -6825,6 +7846,7 @@ popdisplay(d::Display) ("Tasks","Base","Condition","Condition() + Create an edge-triggered event source that tasks can wait for. Tasks that call \"wait\" on a \"Condition\" are suspended and queued. Tasks are woken up when \"notify\" is later called on the @@ -6836,7 +7858,9 @@ popdisplay(d::Display) "), -("Tasks","Base","notify","notify(condition, val=nothing; all=true, error=false) +("Tasks","Base","notify","notify(condition, val=nothing; all=true, +error=false) + Wake up tasks waiting for a condition, passing them \"val\". If \"all\" is true (the default), all waiting tasks are woken, @@ -6847,6 +7871,7 @@ popdisplay(d::Display) ("Tasks","Base","schedule","schedule(t::Task) + Add a task to the scheduler's queue. This causes the task to run constantly when the system is otherwise idle, unless the task performs a blocking operation such as \"wait\". @@ -6855,12 +7880,14 @@ popdisplay(d::Display) ("Tasks","Base","@schedule","@schedule() + Wrap an expression in a Task and add it to the scheduler's queue. "), ("Tasks","Base","@task","@task() + Wrap an expression in a Task executing it, and return the Task. This only creates a task, and does not run it. @@ -6868,12 +7895,14 @@ popdisplay(d::Display) ("Tasks","Base","sleep","sleep(seconds) + Block the current task for a specified number of seconds. "), ("Events","Base","Timer","Timer(f::Function) + Create a timer to call the given callback function. The callback is passed two arguments: the timer object itself, and a status code, which will be 0 unless an error occurs. The timer can be started @@ -6883,6 +7912,7 @@ popdisplay(d::Display) ("Events","Base","start_timer","start_timer(t::Timer, delay, repeat) + Start invoking the callback for a \"Timer\" after the specified initial delay, and then repeating with the given interval. Times are in seconds. If \"repeat\" is \"0\", the timer is only triggered @@ -6892,17 +7922,21 @@ popdisplay(d::Display) ("Events","Base","stop_timer","stop_timer(t::Timer) + Stop invoking the callback for a timer. "), ("Reflection","Base","module_name","module_name(m::Module) -> Symbol + Get the name of a module as a symbol. "), -("Reflection","Base","module_parent","module_parent(m::Module) -> Module +("Reflection","Base","module_parent","module_parent(m::Module) -> +Module + Get a module's enclosing module. \"Main\" is its own parent. @@ -6910,6 +7944,7 @@ popdisplay(d::Display) ("Reflection","Base","current_module","current_module() -> Module + Get the *dynamically* current module, which is the module code is currently being read from. In general, this is not the same as the module containing the call to this function. @@ -6918,6 +7953,7 @@ popdisplay(d::Display) ("Reflection","Base","fullname","fullname(m::Module) + Get the fully-qualified name of a module as a tuple of symbols. For example, \"fullname(Base.Pkg)\" gives \"(:Base,:Pkg)\", and \"fullname(Main)\" gives \"()\". @@ -6926,12 +7962,15 @@ popdisplay(d::Display) ("Reflection","Base","names","names(x) + Get an array of the names exported by a module, or the fields of a data type. "), -("Reflection","Base","isconst","isconst([m::Module], s::Symbol) -> Bool +("Reflection","Base","isconst","isconst([m::Module], s::Symbol) -> +Bool + Determine whether a global is declared \"const\" in a given module. @@ -6939,17 +7978,22 @@ popdisplay(d::Display) ("Reflection","Base","isgeneric","isgeneric(f::Function) -> Bool + Determine whether a function is generic. "), -("Reflection","Base","function_name","function_name(f::Function) -> Symbol +("Reflection","Base","function_name","function_name(f::Function) -> +Symbol + Get the name of a generic function as a symbol, or \":anonymous\". "), -("Reflection","Base","function_module","function_module(f::Function, types) -> Module +("Reflection","Base","function_module","function_module(f::Function, +types) -> Module + Determine the module containing a given definition of a generic function. @@ -6958,6 +8002,7 @@ popdisplay(d::Display) ("Reflection","Base","functionloc","functionloc(f::Function, types) + Returns a tuple \"(filename,line)\" giving the location of a method definition. @@ -6965,12 +8010,14 @@ popdisplay(d::Display) ("Internals","Base","gc","gc() + Perform garbage collection. This should not generally be used. "), ("Internals","Base","gc_disable","gc_disable() + Disable garbage collection. This should be used only with extreme caution, as it can cause memory use to grow without bound. @@ -6978,12 +8025,14 @@ popdisplay(d::Display) ("Internals","Base","gc_enable","gc_enable() + Re-enable garbage collection after calling \"gc_disable\". "), ("Internals","Base","macroexpand","macroexpand(x) + Takes the expression x and returns an equivalent expression with all macros removed (expanded). @@ -6991,6 +8040,7 @@ popdisplay(d::Display) ("Internals","Base","expand","expand(x) + Takes the expression x and returns an equivalent expression in lowered form @@ -6998,6 +8048,7 @@ popdisplay(d::Display) ("Internals","Base","code_lowered","code_lowered(f, types) + Returns an array of lowered ASTs for the methods matching the given generic function and type signature. @@ -7005,6 +8056,7 @@ popdisplay(d::Display) ("Internals","Base","code_typed","code_typed(f, types) + Returns an array of lowered and type-inferred ASTs for the methods matching the given generic function and type signature. @@ -7012,6 +8064,7 @@ popdisplay(d::Display) ("Internals","Base","code_llvm","code_llvm(f, types) + Prints the LLVM bitcodes generated for running the method matching the given generic function and type signature to STDOUT. @@ -7019,6 +8072,7 @@ popdisplay(d::Display) ("Internals","Base","code_native","code_native(f, types) + Prints the native assembly instructions generated for running the method matching the given generic function and type signature to STDOUT. @@ -7027,12 +8081,15 @@ popdisplay(d::Display) ("Internals","Base","precompile","precompile(f, args::(Any..., )) + Compile the given function *f* for the argument tuple (of types) *args*, but do not execute it. "), -("Collections and Data Structures","Base.Collections","PriorityQueue{K,V}","PriorityQueue{K,V}([ord]) +("Collections and Data Structures","Base.Collections","PriorityQueue{ +K,V}","PriorityQueue{K,V}([ord]) + Construct a new PriorityQueue, with keys of type K and values/priorites of type V. If an order is not given, the priority @@ -7040,40 +8097,52 @@ popdisplay(d::Display) "), -("Collections and Data Structures","Base.Collections","enqueue!","enqueue!(pq, k, v) +("Collections and Data +Structures","Base.Collections","enqueue!","enqueue!(pq, k, v) + Insert the a key \"k\" into a priority queue \"pq\" with priority \"v\". "), -("Collections and Data Structures","Base.Collections","dequeue!","dequeue!(pq) +("Collections and Data +Structures","Base.Collections","dequeue!","dequeue!(pq) + Remove and return the lowest priority key from a priority queue. "), -("Collections and Data Structures","Base.Collections","heapify","heapify(v[, ord]) +("Collections and Data +Structures","Base.Collections","heapify","heapify(v[, ord]) + Return a new vector in binary heap order, optionally using the given ordering. "), -("Collections and Data Structures","Base.Collections","heapify!","heapify!(v[, ord]) +("Collections and Data +Structures","Base.Collections","heapify!","heapify!(v[, ord]) + In-place heapify. "), -("Collections and Data Structures","Base.Collections","isheap","isheap(v[, ord]) +("Collections and Data +Structures","Base.Collections","isheap","isheap(v[, ord]) + Return true iff an array is heap-ordered according to the given order. "), -("Collections and Data Structures","Base.Collections","heappush!","heappush!(v[, ord]) +("Collections and Data +Structures","Base.Collections","heappush!","heappush!(v[, ord]) + Given a binary heap-ordered array, push a new element, preserving the heap property. For efficiency, this function does not check @@ -7081,7 +8150,9 @@ popdisplay(d::Display) "), -("Collections and Data Structures","Base.Collections","heappop!","heappop!(v[, ord]) +("Collections and Data +Structures","Base.Collections","heappop!","heappop!(v[, ord]) + Given a binary heap-ordered array, remove and return the lowest ordered element. For efficiency, this function does not check that @@ -7091,6 +8162,7 @@ popdisplay(d::Display) ("Constants","Base","OS_NAME","OS_NAME + A symbol representing the name of the operating system. Possible values are \":Linux\", \":Darwin\" (OS X), or \":Windows\". @@ -7098,12 +8170,14 @@ popdisplay(d::Display) ("Constants","Base","ARGS","ARGS + An array of the command line arguments passed to Julia, as strings. "), ("Constants","Base","C_NULL","C_NULL + The C null pointer constant, sometimes used when calling external code. @@ -7111,24 +8185,28 @@ popdisplay(d::Display) ("Constants","Base","CPU_CORES","CPU_CORES + The number of CPU cores in the system. "), ("Constants","Base","WORD_SIZE","WORD_SIZE + Standard word size on the current machine, in bits. "), ("Constants","Base","VERSION","VERSION + An object describing which version of Julia is in use. "), ("Constants","Base","LOAD_PATH","LOAD_PATH + An array of paths (as strings) where the \"require\" function looks for code. @@ -7136,6 +8214,7 @@ popdisplay(d::Display) ("Filesystem","Base","isblockdev","isblockdev(path) -> Bool + Returns \"true\" if \"path\" is a block device, \"false\" otherwise. @@ -7143,6 +8222,7 @@ popdisplay(d::Display) ("Filesystem","Base","ischardev","ischardev(path) -> Bool + Returns \"true\" if \"path\" is a character device, \"false\" otherwise. @@ -7150,12 +8230,14 @@ popdisplay(d::Display) ("Filesystem","Base","isdir","isdir(path) -> Bool + Returns \"true\" if \"path\" is a directory, \"false\" otherwise. "), ("Filesystem","Base","isexecutable","isexecutable(path) -> Bool + Returns \"true\" if the current user has permission to execute \"path\", \"false\" otherwise. @@ -7163,12 +8245,14 @@ popdisplay(d::Display) ("Filesystem","Base","isfifo","isfifo(path) -> Bool + Returns \"true\" if \"path\" is a FIFO, \"false\" otherwise. "), ("Filesystem","Base","isfile","isfile(path) -> Bool + Returns \"true\" if \"path\" is a regular file, \"false\" otherwise. @@ -7176,6 +8260,7 @@ popdisplay(d::Display) ("Filesystem","Base","islink","islink(path) -> Bool + Returns \"true\" if \"path\" is a symbolic link, \"false\" otherwise. @@ -7183,6 +8268,7 @@ popdisplay(d::Display) ("Filesystem","Base","ispath","ispath(path) -> Bool + Returns \"true\" if \"path\" is a valid filesystem path, \"false\" otherwise. @@ -7190,6 +8276,7 @@ popdisplay(d::Display) ("Filesystem","Base","isreadable","isreadable(path) -> Bool + Returns \"true\" if the current user has permission to read \"path\", \"false\" otherwise. @@ -7197,6 +8284,7 @@ popdisplay(d::Display) ("Filesystem","Base","issetgid","issetgid(path) -> Bool + Returns \"true\" if \"path\" has the setgid flag set, \"false\" otherwise. @@ -7204,6 +8292,7 @@ popdisplay(d::Display) ("Filesystem","Base","issetuid","issetuid(path) -> Bool + Returns \"true\" if \"path\" has the setuid flag set, \"false\" otherwise. @@ -7211,12 +8300,14 @@ popdisplay(d::Display) ("Filesystem","Base","issocket","issocket(path) -> Bool + Returns \"true\" if \"path\" is a socket, \"false\" otherwise. "), ("Filesystem","Base","issticky","issticky(path) -> Bool + Returns \"true\" if \"path\" has the sticky bit set, \"false\" otherwise. @@ -7224,6 +8315,7 @@ popdisplay(d::Display) ("Filesystem","Base","iswritable","iswritable(path) -> Bool + Returns \"true\" if the current user has permission to write to \"path\", \"false\" otherwise. @@ -7231,18 +8323,21 @@ popdisplay(d::Display) ("Filesystem","Base","dirname","dirname(path::String) -> String + Get the directory part of a path. "), ("Filesystem","Base","basename","basename(path::String) -> String + Get the file name part of a path. "), ("Filesystem","Base","isabspath","isabspath(path::String) -> Bool + Determines whether a path is absolute (begins at the root directory). @@ -7250,6 +8345,7 @@ popdisplay(d::Display) ("Filesystem","Base","joinpath","joinpath(parts...) -> String + Join path components into a full path. If some argument is an absolute path, then prior components are dropped. @@ -7257,6 +8353,7 @@ popdisplay(d::Display) ("Filesystem","Base","abspath","abspath(path::String) -> String + Convert a path to an absolute path by adding the current directory if necessary. @@ -7264,18 +8361,21 @@ popdisplay(d::Display) ("Filesystem","Base","tempname","tempname() + Generate a unique temporary filename. "), ("Filesystem","Base","tempdir","tempdir() + Obtain the path of a temporary directory. "), ("Filesystem","Base","mktemp","mktemp() + Returns \"(path, io)\", where \"path\" is the path of a new temporary file and \"io\" is an open file object for this path. @@ -7283,96 +8383,112 @@ popdisplay(d::Display) ("Filesystem","Base","mktempdir","mktempdir() + Create a temporary directory and return its path. "), ("Graphics","Base","Vec2","Vec2(x, y) + Creates a point in two dimensions "), ("Graphics","Base","BoundingBox","BoundingBox(xmin, xmax, ymin, ymax) + Creates a box in two dimensions with the given edges "), ("Graphics","Base","BoundingBox","BoundingBox(objs...) + Creates a box in two dimensions that encloses all objects "), ("Graphics","Base","width","width(obj) + Computes the width of an object "), ("Graphics","Base","height","height(obj) + Computes the height of an object "), ("Graphics","Base","xmin","xmin(obj) + Computes the minimum x-coordinate contained in an object "), ("Graphics","Base","xmax","xmax(obj) + Computes the maximum x-coordinate contained in an object "), ("Graphics","Base","ymin","ymin(obj) + Computes the minimum y-coordinate contained in an object "), ("Graphics","Base","ymax","ymax(obj) + Computes the maximum y-coordinate contained in an object "), ("Graphics","Base","diagonal","diagonal(obj) + Return the length of the diagonal of an object "), ("Graphics","Base","aspect_ratio","aspect_ratio(obj) + Compute the height/width of an object "), ("Graphics","Base","center","center(obj) + Return the point in the center of an object "), ("Graphics","Base","xrange","xrange(obj) + Returns a tuple \"(xmin(obj), xmax(obj))\" "), ("Graphics","Base","yrange","yrange(obj) + Returns a tuple \"(ymin(obj), ymax(obj))\" "), ("Graphics","Base","rotate","rotate(obj, angle, origin) -> newobj + Rotates an object around origin by the specified angle (radians), returning a new object of the same type. Because of type- constancy, this new object may not always be a strict geometric @@ -7384,6 +8500,7 @@ popdisplay(d::Display) ("Graphics","Base","shift","shift(obj, dx, dy) + Returns an object shifted horizontally and vertically by the indicated amounts @@ -7391,24 +8508,31 @@ popdisplay(d::Display) ("Graphics","Base","*","*(obj, s::Real) + Scale the width and height of a graphics object, keeping the center fixed "), -("Graphics","Base","+","+(bb1::BoundingBox, bb2::BoundingBox) -> BoundingBox +("Graphics","Base","+","+(bb1::BoundingBox, bb2::BoundingBox) -> +BoundingBox + Returns the smallest box containing both boxes "), -("Graphics","Base","&","&(bb1::BoundingBox, bb2::BoundingBox) -> BoundingBox +("Graphics","Base","&","&(bb1::BoundingBox, bb2::BoundingBox) -> +BoundingBox + Returns the intersection, the largest box contained in both boxes "), -("Graphics","Base","deform","deform(bb::BoundingBox, dxmin, dxmax, dymin, dymax) +("Graphics","Base","deform","deform(bb::BoundingBox, dxmin, dxmax, +dymin, dymax) + Returns a bounding box with all edges shifted by the indicated amounts @@ -7417,12 +8541,14 @@ popdisplay(d::Display) ("Graphics","Base","isinside","isinside(bb::BoundingBox, x, y) + True if the given point is inside the box "), ("Graphics","Base","isinside","isinside(bb::BoundingBox, point) + True if the given point is inside the box "), @@ -7430,12 +8556,14 @@ popdisplay(d::Display) ("Linear Algebra","Base","*","*(A, B) + Matrix multiplication "), ("Linear Algebra","Base","\\","\\(A, B) + Matrix division using a polyalgorithm. For input matrices \"A\" and \"B\", the result \"X\" is such that \"A*X == B\" when \"A\" is square. The solver that is used depends upon the structure of @@ -7452,30 +8580,35 @@ popdisplay(d::Display) ("Linear Algebra","Base","dot","dot(x, y) + Compute the dot product "), ("Linear Algebra","Base","cross","cross(x, y) + Compute the cross product of two 3-vectors "), ("Linear Algebra","Base","norm","norm(a) + Compute the norm of a \"Vector\" or a \"Matrix\" "), ("Linear Algebra","Base","rref","rref(A) + Compute the reduced row echelon form of the matrix A. "), ("Linear Algebra","Base","factorize","factorize(A) + Compute a convenient factorization (including LU, Cholesky, Bunch Kaufman, Triangular) of A, based upon the type of the input matrix. The return value can then be reused for efficient solving of @@ -7486,6 +8619,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","factorize!","factorize!(A) + \"factorize!\" is the same as \"factorize()\", but saves space by overwriting the input A, instead of creating a copy. @@ -7493,12 +8627,14 @@ popdisplay(d::Display) ("Linear Algebra","Base","lu","lu(A) -> L, U, P + Compute the LU factorization of \"A\", such that \"P*A = L*U\". "), ("Linear Algebra","Base","lufact","lufact(A) -> LU + Compute the LU factorization of \"A\", returning an \"LU\" object for dense \"A\" or an \"UmfpackLU\" object for sparse \"A\". The individual components of the factorization \"F\" can be accesed by @@ -7515,6 +8651,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","lufact!","lufact!(A) -> LU + \"lufact!\" is the same as \"lufact()\", but saves space by overwriting the input A, instead of creating a copy. For sparse \"A\" the \"nzval\" field is not overwritten but the index fields, @@ -7525,6 +8662,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","chol","chol(A[, LU]) -> F + Compute Cholesky factorization of a symmetric positive-definite matrix \"A\" and return the matrix \"F\". If \"LU\" is \"L\" (Lower), \"A = L*L'\". If \"LU\" is \"U\" (Upper), \"A = R'*R\". @@ -7533,6 +8671,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","cholfact","cholfact(A[, LU]) -> Cholesky + Compute the Cholesky factorization of a dense symmetric positive- definite matrix \"A\" and return a \"Cholesky\" object. \"LU\" may be 'L' for using the lower part or 'U' for the upper part. The @@ -7544,7 +8683,9 @@ popdisplay(d::Display) "), -("Linear Algebra","Base","cholfact","cholfact(A[, ll]) -> CholmodFactor +("Linear Algebra","Base","cholfact","cholfact(A[, ll]) -> +CholmodFactor + Compute the sparse Cholesky factorization of a sparse matrix \"A\". If \"A\" is Hermitian its Cholesky factor is determined. If \"A\" @@ -7563,12 +8704,15 @@ popdisplay(d::Display) ("Linear Algebra","Base","cholfact!","cholfact!(A[, LU]) -> Cholesky + \"cholfact!\" is the same as \"cholfact()\", but saves space by overwriting the input A, instead of creating a copy. "), -("Linear Algebra","Base","cholpfact","cholpfact(A[, LU]) -> CholeskyPivoted +("Linear Algebra","Base","cholpfact","cholpfact(A[, LU]) -> +CholeskyPivoted + Compute the pivoted Cholesky factorization of a symmetric positive semi-definite matrix \"A\" and return a \"CholeskyPivoted\" object. @@ -7583,7 +8727,9 @@ popdisplay(d::Display) "), -("Linear Algebra","Base","cholpfact!","cholpfact!(A[, LU]) -> CholeskyPivoted +("Linear Algebra","Base","cholpfact!","cholpfact!(A[, LU]) -> +CholeskyPivoted + \"cholpfact!\" is the same as \"cholpfact\", but saves space by overwriting the input A, instead of creating a copy. @@ -7592,6 +8738,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","qr","qr(A[, thin]) -> Q, R + Compute the QR factorization of \"A\" such that \"A = Q*R\". Also see \"qrfact\". The default is to compute a thin factorization. @@ -7599,6 +8746,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","qrfact","qrfact(A) + Compute the QR factorization of \"A\" and return a \"QR\" object. The coomponents of the factorization \"F\" can be accessed as follows: the orthogonal matrix \"Q\" can be extracted with @@ -7612,6 +8760,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","qrfact!","qrfact!(A) + \"qrfact!\" is the same as \"qrfact()\", but saves space by overwriting the input A, instead of creating a copy. @@ -7619,6 +8768,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","qrp","qrp(A[, thin]) -> Q, R, P + Compute the QR factorization of \"A\" with pivoting, such that \"A*P = Q*R\", Also see \"qrpfact\". The default is to compute a thin factorization. @@ -7627,6 +8777,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","qrpfact","qrpfact(A) -> QRPivoted + Compute the QR factorization of \"A\" with pivoting and return a \"QRPivoted\" object. The components of the factorization \"F\" can be accessed as follows: the orthogonal matrix \"Q\" can be @@ -7643,6 +8794,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","qrpfact!","qrpfact!(A) -> QRPivoted + \"qrpfact!\" is the same as \"qrpfact()\", but saves space by overwriting the input A, instead of creating a copy. @@ -7650,6 +8802,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","bkfact","bkfact(A) -> BunchKaufman + Compute the Bunch Kaufman factorization of a real symmetric or complex Hermitian matrix \"A\" and return a \"BunchKaufman\" object. The following functions are available for \"BunchKaufman\" @@ -7659,6 +8812,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","bkfact!","bkfact!(A) -> BunchKaufman + \"bkfact!\" is the same as \"bkfact()\", but saves space by overwriting the input A, instead of creating a copy. @@ -7666,6 +8820,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","sqrtm","sqrtm(A) + Compute the matrix square root of \"A\". If \"B = sqrtm(A)\", then \"B*B == A\" within roundoff error. @@ -7673,36 +8828,42 @@ popdisplay(d::Display) ("Linear Algebra","Base","eig","eig(A) -> D, V + Compute eigenvalues and eigenvectors of A "), ("Linear Algebra","Base","eig","eig(A, B) -> D, V + Compute generalized eigenvalues and vectors of A and B "), ("Linear Algebra","Base","eigvals","eigvals(A) + Returns the eigenvalues of \"A\". "), ("Linear Algebra","Base","eigmax","eigmax(A) + Returns the largest eigenvalue of \"A\". "), ("Linear Algebra","Base","eigmin","eigmin(A) + Returns the smallest eigenvalue of \"A\". "), ("Linear Algebra","Base","eigvecs","eigvecs(A[, eigvals]) + Returns the eigenvectors of \"A\". For SymTridiagonal matrices, if the optional vector of eigenvalues @@ -7713,6 +8874,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","eigfact","eigfact(A) + Compute the eigenvalue decomposition of \"A\" and return an \"Eigen\" object. If \"F\" is the factorization object, the eigenvalues can be accessed with \"F[:values]\" and the @@ -7723,6 +8885,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","eigfact","eigfact(A, B) + Compute the generalized eigenvalue decomposition of \"A\" and \"B\" and return an \"GeneralizedEigen\" object. If \"F\" is the factorization object, the eigenvalues can be accessed with @@ -7732,6 +8895,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","eigfact!","eigfact!(A[, B]) + \"eigfact!\" is the same as \"eigfact()\", but saves space by overwriting the input A (and B), instead of creating a copy. @@ -7739,6 +8903,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","hessfact","hessfact(A) + Compute the Hessenberg decomposition of \"A\" and return a \"Hessenberg\" object. If \"F\" is the factorization object, the unitary matrix can be accessed with \"F[:Q]\" and the Hessenberg @@ -7750,6 +8915,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","hessfact!","hessfact!(A) + \"hessfact!\" is the same as \"hessfact()\", but saves space by overwriting the input A, instead of creating a copy. @@ -7757,6 +8923,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","schurfact","schurfact(A) -> Schur + Computes the Schur factorization of the matrix \"A\". The (quasi) triangular Schur factor can be obtained from the \"Schur\" object \"F\" with either \"F[:Schur]\" or \"F[:T]\" and the @@ -7769,18 +8936,23 @@ popdisplay(d::Display) ("Linear Algebra","Base","schurfact!","schurfact!(A) + Computer the Schur factorization of A, overwriting A in the process. See \"schurfact()\" "), -("Linear Algebra","Base","schur","schur(A) -> Schur[:T], Schur[:Z], Schur[:values] +("Linear Algebra","Base","schur","schur(A) -> Schur[:T], Schur[:Z], +Schur[:values] + See schurfact "), -("Linear Algebra","Base","schurfact","schurfact(A, B) -> GeneralizedSchur +("Linear Algebra","Base","schurfact","schurfact(A, B) -> +GeneralizedSchur + Computes the Generalized Schur (or QZ) factorization of the matrices \"A\" and \"B\". The (quasi) triangular Schur factors can @@ -7794,7 +8966,9 @@ popdisplay(d::Display) "), -("Linear Algebra","Base","schur","schur(A, B) -> GeneralizedSchur[:S], GeneralizedSchur[:T], GeneralizedSchur[:Q], GeneralizedSchur[:Z] +("Linear Algebra","Base","schur","schur(A, B) -> GeneralizedSchur[:S], +GeneralizedSchur[:T], GeneralizedSchur[:Q], GeneralizedSchur[:Z] + See schurfact @@ -7802,6 +8976,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","svdfact","svdfact(A[, thin]) -> SVD + Compute the Singular Value Decomposition (SVD) of \"A\" and return an \"SVD\" object. \"U\", \"S\", \"V\" and \"Vt\" can be obtained from the factorization \"F\" with \"F[:U]\", \"F[:S]\", \"F[:V]\" @@ -7814,6 +8989,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","svdfact!","svdfact!(A[, thin]) -> SVD + \"svdfact!\" is the same as \"svdfact()\", but saves space by overwriting the input A, instead of creating a copy. If \"thin\" is \"true\", an economy mode decomposition is returned. The default is @@ -7823,6 +8999,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","svd","svd(A[, thin]) -> U, S, V + Compute the SVD of A, returning \"U\", vector \"S\", and \"V\" such that \"A == U*diagm(S)*V'\". If \"thin\" is \"true\", an economy mode decomposition is returned. @@ -7831,12 +9008,14 @@ popdisplay(d::Display) ("Linear Algebra","Base","svdvals","svdvals(A) + Returns the singular values of \"A\". "), ("Linear Algebra","Base","svdvals!","svdvals!(A) + Returns the singular values of \"A\", while saving space by overwriting the input. @@ -7844,6 +9023,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","svdfact","svdfact(A, B) -> GeneralizedSVD + Compute the generalized SVD of \"A\" and \"B\", returning a \"GeneralizedSVD\" Factorization object, such that \"A = U*D1*R0*Q'\" and \"B = V*D2*R0*Q'\". @@ -7852,6 +9032,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","svd","svd(A, B) -> U, V, Q, D1, D2, R0 + Compute the generalized SVD of \"A\" and \"B\", returning \"U\", \"V\", \"Q\", \"D1\", \"D2\", and \"R0\" such that \"A = U*D1*R0*Q'\" and \"B = V*D2*R0*Q'\". @@ -7860,6 +9041,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","svdvals","svdvals(A, B) + Return only the singular values from the generalized singular value decomposition of \"A\" and \"B\". @@ -7867,30 +9049,35 @@ popdisplay(d::Display) ("Linear Algebra","Base","triu","triu(M) + Upper triangle of a matrix. "), ("Linear Algebra","Base","triu!","triu!(M) + Upper triangle of a matrix, overwriting M in the process. "), ("Linear Algebra","Base","tril","tril(M) + Lower triangle of a matrix. "), ("Linear Algebra","Base","tril!","tril!(M) + Lower triangle of a matrix, overwriting M in the process. "), ("Linear Algebra","Base","diagind","diagind(M[, k]) + A \"Range\" giving the indices of the \"k\"-th diagonal of the matrix \"M\". @@ -7898,12 +9085,14 @@ popdisplay(d::Display) ("Linear Algebra","Base","diag","diag(M[, k]) + The \"k\"-th diagonal of a matrix, as a vector. "), ("Linear Algebra","Base","diagm","diagm(v[, k]) + Construct a diagonal matrix and place \"v\" on the \"k\"-th diagonal. @@ -7911,6 +9100,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","scale","scale(A, B) + \"scale(A::Array, B::Number)\" scales all values in \"A\" with \"B\". Note: In cases where the array is big enough, \"scale\" can be much faster than \"A .* B\", due to the use of BLAS. @@ -7927,12 +9117,14 @@ popdisplay(d::Display) ("Linear Algebra","Base","scale!","scale!(A, B) + \"scale!(A,B)\" overwrites the input array with the scaled result. "), ("Linear Algebra","Base","Tridiagonal","Tridiagonal(dl, d, du) + Construct a tridiagonal matrix from the lower diagonal, diagonal, and upper diagonal, respectively. The result is of type \"Tridiagonal\" and provides efficient specialized linear solvers, @@ -7942,6 +9134,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","Bidiagonal","Bidiagonal(dv, ev, isupper) + Constructs an upper (isupper=true) or lower (isupper=false) bidiagonal matrix using the given diagonal (dv) and off-diagonal (ev) vectors. The result is of type \"Bidiagonal\" and provides @@ -7952,6 +9145,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","SymTridiagonal","SymTridiagonal(d, du) + Construct a real-symmetric tridiagonal matrix from the diagonal and upper diagonal, respectively. The result is of type \"SymTridiagonal\" and provides efficient specialized eigensolvers, @@ -7961,6 +9155,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","Woodbury","Woodbury(A, U, C, V) + Construct a matrix in a form suitable for applying the Woodbury matrix identity @@ -7968,12 +9163,14 @@ popdisplay(d::Display) ("Linear Algebra","Base","rank","rank(M) + Compute the rank of a matrix "), ("Linear Algebra","Base","norm","norm(A[, p]) + Compute the \"p\"-norm of a vector or a matrix. \"p\" is \"2\" by default, if not provided. If \"A\" is a vector, \"norm(A, p)\" computes the \"p\"-norm. \"norm(A, Inf)\" returns the largest value @@ -7985,12 +9182,14 @@ popdisplay(d::Display) ("Linear Algebra","Base","normfro","normfro(A) + Compute the Frobenius norm of a matrix \"A\". "), ("Linear Algebra","Base","cond","cond(M[, p]) + Matrix condition number, computed using the p-norm. \"p\" is 2 by default, if not provided. Valid values for \"p\" are \"1\", \"2\", or \"Inf\". @@ -7999,18 +9198,21 @@ popdisplay(d::Display) ("Linear Algebra","Base","trace","trace(M) + Matrix trace "), ("Linear Algebra","Base","det","det(M) + Matrix determinant "), ("Linear Algebra","Base","logdet","logdet(M) + Log of Matrix determinant. Equivalent to \"log(det(M))\", but may provide increased accuracy and/or speed. @@ -8018,30 +9220,36 @@ popdisplay(d::Display) ("Linear Algebra","Base","inv","inv(M) + Matrix inverse "), ("Linear Algebra","Base","pinv","pinv(M) + Moore-Penrose inverse "), ("Linear Algebra","Base","null","null(M) + Basis for null space of M. "), ("Linear Algebra","Base","repmat","repmat(A, n, m) + Construct a matrix by repeating the given matrix \"n\" times in dimension 1 and \"m\" times in dimension 2. "), -("Linear Algebra","Base","repeat","repeat(A, inner = Int[], outer = Int[]) +("Linear Algebra","Base","repeat","repeat(A, inner = Int[], outer = +Int[]) + Construct an array by repeating the entries of \"A\". The i-th element of \"inner\" specifies the number of times that the @@ -8054,12 +9262,14 @@ popdisplay(d::Display) ("Linear Algebra","Base","kron","kron(A, B) + Kronecker tensor product of two vectors or two matrices. "), ("Linear Algebra","Base","linreg","linreg(x, y) + Determine parameters \"[a, b]\" that minimize the squared error between \"y\" and \"a+b*x\". @@ -8067,30 +9277,35 @@ popdisplay(d::Display) ("Linear Algebra","Base","linreg","linreg(x, y, w) + Weighted least-squares linear regression. "), ("Linear Algebra","Base","expm","expm(A) + Matrix exponential. "), ("Linear Algebra","Base","issym","issym(A) + Test whether a matrix is symmetric. "), ("Linear Algebra","Base","isposdef","isposdef(A) + Test whether a matrix is positive-definite. "), ("Linear Algebra","Base","isposdef!","isposdef!(A) + Test whether a matrix is positive-definite, overwriting A in the processes. @@ -8098,35 +9313,42 @@ popdisplay(d::Display) ("Linear Algebra","Base","istril","istril(A) + Test whether a matrix is lower-triangular. "), ("Linear Algebra","Base","istriu","istriu(A) + Test whether a matrix is upper-triangular. "), ("Linear Algebra","Base","ishermitian","ishermitian(A) + Test whether a matrix is hermitian. "), ("Linear Algebra","Base","transpose","transpose(A) + The transpose operator (\".'\"). "), ("Linear Algebra","Base","ctranspose","ctranspose(A) + The conjugate transpose operator (\"'\"). "), -("Linear Algebra","Base","eigs","eigs(A; nev=6, which=\"LM\", tol=0.0, maxiter=1000, ritzvec=true) +("Linear Algebra","Base","eigs","eigs(A; nev=6, which=\"LM\", tol=0.0, +maxiter=1000, ritzvec=true) + \"eigs\" computes the eigenvalues of A using Arnoldi factorization. The following keyword arguments are supported: @@ -8144,7 +9366,9 @@ popdisplay(d::Display) "), -("Linear Algebra","Base","svds","svds(A; nev=6, which=\"LA\", tol=0.0, maxiter=1000, ritzvec=true) +("Linear Algebra","Base","svds","svds(A; nev=6, which=\"LA\", tol=0.0, +maxiter=1000, ritzvec=true) + \"svds\" computes the singular values of A using Arnoldi factorization. The following keyword arguments are supported: @@ -8163,6 +9387,7 @@ popdisplay(d::Display) ("Linear Algebra","Base","peakflops","peakflops(n; parallel=false) + \"peakflops\" computes the peak flop rate of the computer by using BLAS dgemm. By default, if no arguments are specified, it multiplies a matrix of size \"n x n\", where \"n = 2000\". If the @@ -8180,6 +9405,7 @@ popdisplay(d::Display) ("BLAS Functions","Base","copy!","copy!(n, X, incx, Y, incy) + Copy \"n\" elements of array \"X\" with stride \"incx\" to array \"Y\" with stride \"incy\". Returns \"Y\". @@ -8187,6 +9413,7 @@ popdisplay(d::Display) ("BLAS Functions","Base","dot","dot(n, X, incx, Y, incy) + Dot product of two vectors consisting of \"n\" elements of array \"X\" with stride \"incx\" and \"n\" elements of array \"Y\" with stride \"incy\". There are no \"dot\" methods for \"Complex\" @@ -8196,6 +9423,7 @@ popdisplay(d::Display) ("BLAS Functions","Base.LinAlg.BLAS","nrm2","nrm2(n, X, incx) + 2-norm of a vector consisting of \"n\" elements of array \"X\" with stride \"incx\". @@ -8203,12 +9431,15 @@ popdisplay(d::Display) ("BLAS Functions","Base.LinAlg.BLAS","asum","asum(n, X, incx) + sum of the absolute values of the first \"n\" elements of array \"X\" with stride \"incx\". "), -("BLAS Functions","Base.LinAlg.BLAS","axpy!","axpy!(n, a, X, incx, Y, incy) +("BLAS Functions","Base.LinAlg.BLAS","axpy!","axpy!(n, a, X, incx, Y, +incy) + Overwrite \"Y\" with \"a*X + Y\". Returns \"Y\". @@ -8216,17 +9447,21 @@ popdisplay(d::Display) ("BLAS Functions","Base.LinAlg.BLAS","scal!","scal!(n, a, X, incx) + Overwrite \"X\" with \"a*X\". Returns \"X\". "), ("BLAS Functions","Base.LinAlg.BLAS","scal","scal(n, a, X, incx) + Returns \"a*X\". "), -("BLAS Functions","Base.LinAlg.BLAS","syrk!","syrk!(uplo, trans, alpha, A, beta, C) +("BLAS Functions","Base.LinAlg.BLAS","syrk!","syrk!(uplo, trans, +alpha, A, beta, C) + Rank-k update of the symmetric matrix \"C\" as \"alpha*A*A.' + beta*C\" or \"alpha*A.'*A + beta*C\" according to whether \"trans\" @@ -8235,7 +9470,9 @@ popdisplay(d::Display) "), -("BLAS Functions","Base.LinAlg.BLAS","syrk","syrk(uplo, trans, alpha, A) +("BLAS Functions","Base.LinAlg.BLAS","syrk","syrk(uplo, trans, alpha, +A) + Returns either the upper triangle or the lower triangle, according to \"uplo\" ('U' or 'L'), of \"alpha*A*A.'\" or \"alpha*A.'*A\", @@ -8243,7 +9480,9 @@ popdisplay(d::Display) "), -("BLAS Functions","Base.LinAlg.BLAS","herk!","herk!(uplo, trans, alpha, A, beta, C) +("BLAS Functions","Base.LinAlg.BLAS","herk!","herk!(uplo, trans, +alpha, A, beta, C) + Methods for complex arrays only. Rank-k update of the Hermitian matrix \"C\" as \"alpha*A*A' + beta*C\" or \"alpha*A'*A + beta*C\" @@ -8253,7 +9492,9 @@ popdisplay(d::Display) "), -("BLAS Functions","Base.LinAlg.BLAS","herk","herk(uplo, trans, alpha, A) +("BLAS Functions","Base.LinAlg.BLAS","herk","herk(uplo, trans, alpha, +A) + Methods for complex arrays only. Returns either the upper triangle or the lower triangle, according to \"uplo\" ('U' or 'L'), of @@ -8262,7 +9503,9 @@ popdisplay(d::Display) "), -("BLAS Functions","Base.LinAlg.BLAS","gbmv!","gbmv!(trans, m, kl, ku, alpha, A, x, beta, y) +("BLAS Functions","Base.LinAlg.BLAS","gbmv!","gbmv!(trans, m, kl, ku, +alpha, A, x, beta, y) + Update vector \"y\" as \"alpha*A*x + beta*y\" or \"alpha*A'*x + beta*y\" according to \"trans\" ('N' or 'T'). The matrix \"A\" is @@ -8272,7 +9515,9 @@ popdisplay(d::Display) "), -("BLAS Functions","Base.LinAlg.BLAS","gbmv","gbmv(trans, m, kl, ku, alpha, A, x, beta, y) +("BLAS Functions","Base.LinAlg.BLAS","gbmv","gbmv(trans, m, kl, ku, +alpha, A, x, beta, y) + Returns \"alpha*A*x\" or \"alpha*A'*x\" according to \"trans\" ('N' or 'T'). The matrix \"A\" is a general band matrix of dimension @@ -8281,7 +9526,9 @@ popdisplay(d::Display) "), -("BLAS Functions","Base.LinAlg.BLAS","sbmv!","sbmv!(uplo, k, alpha, A, x, beta, y) +("BLAS Functions","Base.LinAlg.BLAS","sbmv!","sbmv!(uplo, k, alpha, A, +x, beta, y) + Update vector \"y\" as \"alpha*A*x + beta*y\" where \"A\" is a a symmetric band matrix of order \"size(A,2)\" with \"k\" super- @@ -8293,7 +9540,9 @@ popdisplay(d::Display) "), -("BLAS Functions","Base.LinAlg.BLAS","sbmv","sbmv(uplo, k, alpha, A, x) +("BLAS Functions","Base.LinAlg.BLAS","sbmv","sbmv(uplo, k, alpha, A, +x) + Returns \"alpha*A*x\" where \"A\" is a symmetric band matrix of order \"size(A,2)\" with \"k\" super-diagonals stored in the @@ -8303,13 +9552,16 @@ popdisplay(d::Display) ("BLAS Functions","Base.LinAlg.BLAS","sbmv","sbmv(uplo, k, A, x) + Returns \"A*x\" where \"A\" is a symmetric band matrix of order \"size(A,2)\" with \"k\" super-diagonals stored in the argument \"A\". "), -("BLAS Functions","Base.LinAlg.BLAS","gemm!","gemm!(tA, tB, alpha, A, B, beta, C) +("BLAS Functions","Base.LinAlg.BLAS","gemm!","gemm!(tA, tB, alpha, A, +B, beta, C) + Update \"C\" as \"alpha*A*B + beta*C\" or the other three variants according to \"tA\" (transpose \"A\") and \"tB\". Returns the @@ -8319,6 +9571,7 @@ popdisplay(d::Display) ("BLAS Functions","Base.LinAlg.BLAS","gemm","gemm(tA, tB, alpha, A, B) + Returns \"alpha*A*B\" or the other three variants according to \"tA\" (transpose \"A\") and \"tB\". @@ -8326,12 +9579,15 @@ popdisplay(d::Display) ("BLAS Functions","Base.LinAlg.BLAS","gemm","gemm(tA, tB, alpha, A, B) + Returns \"alpha*A*B\" or the other three variants according to \"tA\" (transpose \"A\") and \"tB\". "), -("BLAS Functions","Base.LinAlg.BLAS","gemv!","gemv!(tA, alpha, A, x, beta, y) +("BLAS Functions","Base.LinAlg.BLAS","gemv!","gemv!(tA, alpha, A, x, +beta, y) + Update the vector \"y\" as \"alpha*A*x + beta*x\" or \"alpha*A'x + beta*x\" according to \"tA\" (transpose \"A\"). Returns the updated @@ -8341,6 +9597,7 @@ popdisplay(d::Display) ("BLAS Functions","Base.LinAlg.BLAS","gemv","gemv(tA, alpha, A, x) + Returns \"alpha*A*x\" or \"alpha*A'x\" according to \"tA\" (transpose \"A\"). @@ -8348,11 +9605,14 @@ popdisplay(d::Display) ("BLAS Functions","Base.LinAlg.BLAS","gemv","gemv(tA, alpha, A, x) + Returns \"A*x\" or \"A'x\" according to \"tA\" (transpose \"A\"). "), -("BLAS Functions","Base.LinAlg.BLAS","symm!","symm!(side, ul, alpha, A, B, beta, C) +("BLAS Functions","Base.LinAlg.BLAS","symm!","symm!(side, ul, alpha, +A, B, beta, C) + Update \"C\" as \"alpha*A*B + beta*C\" or \"alpha*B*A + beta*C\" according to \"side\". \"A\" is assumed to be symmetric. Only the @@ -8360,7 +9620,9 @@ popdisplay(d::Display) "), -("BLAS Functions","Base.LinAlg.BLAS","symm","symm(side, ul, alpha, A, B) +("BLAS Functions","Base.LinAlg.BLAS","symm","symm(side, ul, alpha, A, +B) + Returns \"alpha*A*B\" or \"alpha*B*A\" according to \"side\". \"A\" is assumed to be symmetric. Only the \"ul\" triangle of \"A\" is @@ -8370,6 +9632,7 @@ popdisplay(d::Display) ("BLAS Functions","Base.LinAlg.BLAS","symm","symm(side, ul, A, B) + Returns \"A*B\" or \"B*A\" according to \"side\". \"A\" is assumed to be symmetric. Only the \"ul\" triangle of \"A\" is used. @@ -8377,12 +9640,15 @@ popdisplay(d::Display) ("BLAS Functions","Base.LinAlg.BLAS","symm","symm(tA, tB, alpha, A, B) + Returns \"alpha*A*B\" or the other three variants according to \"tA\" (transpose \"A\") and \"tB\". "), -("BLAS Functions","Base.LinAlg.BLAS","symv!","symv!(ul, alpha, A, x, beta, y) +("BLAS Functions","Base.LinAlg.BLAS","symv!","symv!(ul, alpha, A, x, +beta, y) + Update the vector \"y\" as \"alpha*A*y + beta*y\". \"A\" is assumed to be symmetric. Only the \"ul\" triangle of \"A\" is used. @@ -8392,6 +9658,7 @@ popdisplay(d::Display) ("BLAS Functions","Base.LinAlg.BLAS","symv","symv(ul, alpha, A, x) + Returns \"alpha*A*x\". \"A\" is assumed to be symmetric. Only the \"ul\" triangle of \"A\" is used. @@ -8399,12 +9666,15 @@ popdisplay(d::Display) ("BLAS Functions","Base.LinAlg.BLAS","symv","symv(ul, A, x) + Returns \"A*x\". \"A\" is assumed to be symmetric. Only the \"ul\" triangle of \"A\" is used. "), -("BLAS Functions","Base.LinAlg.BLAS","trmm!","trmm!(side, ul, tA, dA, alpha, A, B) +("BLAS Functions","Base.LinAlg.BLAS","trmm!","trmm!(side, ul, tA, dA, +alpha, A, B) + Update \"B\" as \"alpha*A*B\" or one of the other three variants determined by \"side\" (A on left or right) and \"tA\" (transpose @@ -8414,7 +9684,9 @@ popdisplay(d::Display) "), -("BLAS Functions","Base.LinAlg.BLAS","trmm","trmm(side, ul, tA, dA, alpha, A, B) +("BLAS Functions","Base.LinAlg.BLAS","trmm","trmm(side, ul, tA, dA, +alpha, A, B) + Returns \"alpha*A*B\" or one of the other three variants determined by \"side\" (A on left or right) and \"tA\" (transpose A). Only the @@ -8423,7 +9695,9 @@ popdisplay(d::Display) "), -("BLAS Functions","Base.LinAlg.BLAS","trsm!","trsm!(side, ul, tA, dA, alpha, A, B) +("BLAS Functions","Base.LinAlg.BLAS","trsm!","trsm!(side, ul, tA, dA, +alpha, A, B) + Overwrite \"B\" with the solution to \"A*X = alpha*B\" or one of the other three variants determined by \"side\" (A on left or right @@ -8433,7 +9707,9 @@ popdisplay(d::Display) "), -("BLAS Functions","Base.LinAlg.BLAS","trsm","trsm(side, ul, tA, dA, alpha, A, B) +("BLAS Functions","Base.LinAlg.BLAS","trsm","trsm(side, ul, tA, dA, +alpha, A, B) + Returns the solution to \"A*X = alpha*B\" or one of the other three variants determined by \"side\" (A on left or right of \"X\") and @@ -8443,7 +9719,9 @@ popdisplay(d::Display) "), -("BLAS Functions","Base.LinAlg.BLAS","trmv!","trmv!(side, ul, tA, dA, alpha, A, b) +("BLAS Functions","Base.LinAlg.BLAS","trmv!","trmv!(side, ul, tA, dA, +alpha, A, b) + Update \"b\" as \"alpha*A*b\" or one of the other three variants determined by \"side\" (A on left or right) and \"tA\" (transpose @@ -8453,7 +9731,9 @@ popdisplay(d::Display) "), -("BLAS Functions","Base.LinAlg.BLAS","trmv","trmv(side, ul, tA, dA, alpha, A, b) +("BLAS Functions","Base.LinAlg.BLAS","trmv","trmv(side, ul, tA, dA, +alpha, A, b) + Returns \"alpha*A*b\" or one of the other three variants determined by \"side\" (A on left or right) and \"tA\" (transpose A). Only the @@ -8462,7 +9742,9 @@ popdisplay(d::Display) "), -("BLAS Functions","Base.LinAlg.BLAS","trsv!","trsv!(side, ul, tA, dA, alpha, A, b) +("BLAS Functions","Base.LinAlg.BLAS","trsv!","trsv!(side, ul, tA, dA, +alpha, A, b) + Overwrite \"b\" with the solution to \"A*X = alpha*b\" or one of the other three variants determined by \"side\" (A on left or right @@ -8472,7 +9754,9 @@ popdisplay(d::Display) "), -("BLAS Functions","Base.LinAlg.BLAS","trsv","trsv(side, ul, tA, dA, alpha, A, b) +("BLAS Functions","Base.LinAlg.BLAS","trsv","trsv(side, ul, tA, dA, +alpha, A, b) + Returns the solution to \"A*X = alpha*b\" or one of the other three variants determined by \"side\" (A on left or right of \"X\") and @@ -8482,7 +9766,9 @@ popdisplay(d::Display) "), -("BLAS Functions","Base.LinAlg.BLAS","blas_set_num_threads","blas_set_num_threads(n) +("BLAS Functions","Base.LinAlg.BLAS","blas_set_num_threads","blas_set +_num_threads(n) + Set the number of threads the BLAS library should use. @@ -8490,6 +9776,7 @@ popdisplay(d::Display) ("Profiling","Base","@profile","@profile() + \"@profile \" runs your expression while taking periodic backtraces. These are appended to an internal buffer of backtraces. @@ -8498,11 +9785,15 @@ popdisplay(d::Display) ("Profiling","Base.Profile","clear","clear() + Clear any existing backtraces from the internal buffer. "), -("Profiling","Base.Profile","print","print([io::IO = STDOUT], [data::Vector]; format = :tree, C = false, combine = true, cols = tty_cols()) +("Profiling","Base.Profile","print","print([io::IO = STDOUT], +[data::Vector]; format = :tree, C = false, combine = true, cols = +tty_cols()) + Prints profiling results to \"io\" (by default, \"STDOUT\"). If you do not supply a \"data\" vector, the internal buffer of accumulated @@ -8513,7 +9804,10 @@ popdisplay(d::Display) "), -("Profiling","Base.Profile","print","print([io::IO = STDOUT], data::Vector, lidict::Dict; format = :tree, combine = true, cols = tty_cols()) +("Profiling","Base.Profile","print","print([io::IO = STDOUT], +data::Vector, lidict::Dict; format = :tree, combine = true, cols = +tty_cols()) + Prints profiling results to \"io\". This variant is used to examine results exported by a previous call to \"Profile.retrieve()\". @@ -8524,6 +9818,7 @@ popdisplay(d::Display) ("Profiling","Base.Profile","init","init(n::Integer, delay::Float64) + Configure the \"delay\" between backtraces (measured in seconds), and the number \"n\" of instruction pointers that may be stored. Each instruction pointer corresponds to a single line of code; @@ -8534,6 +9829,7 @@ popdisplay(d::Display) ("Profiling","Base.Profile","fetch","fetch() -> data + Returns a reference to the internal buffer of backtraces. Note that subsequent operations, like \"Profile.clear()\", can affect \"data\" unless you first make a copy. Note that the values in @@ -8544,7 +9840,9 @@ popdisplay(d::Display) "), -("Profiling","Base.Profile","retrieve","retrieve(;C = false) -> data, lidict +("Profiling","Base.Profile","retrieve","retrieve(;C = false) -> data, +lidict + \"Exports\" profiling results in a portable format, returning the set of all backtraces (\"data\") and a dictionary that maps the @@ -8556,7 +9854,9 @@ popdisplay(d::Display) "), -("Sorting and Related Functions","Base","sort!","sort!(v, [dim,] [alg=,] [by=,] [lt=,] [rev=false]) +("Sorting and Related Functions","Base","sort!","sort!(v, [dim,] +[alg=,] [by=,] [lt=,] [rev=false]) + Sort the vector \"v\" in place. \"QuickSort\" is used by default for numeric arrays while \"MergeSort\" is used for other arrays. @@ -8573,20 +9873,26 @@ popdisplay(d::Display) "), -("Sorting and Related Functions","Base","sort","sort(v, [alg=,] [by=,] [lt=,] [rev=false]) +("Sorting and Related Functions","Base","sort","sort(v, +[alg=,] [by=,] [lt=,] [rev=false]) + Variant of \"sort!\" that returns a sorted copy of \"v\" leaving \"v\" itself unmodified. "), -("Sorting and Related Functions","Base","sort","sort(A, dim, [alg=,] [by=,] [lt=,] [rev=false]) +("Sorting and Related Functions","Base","sort","sort(A, dim, +[alg=,] [by=,] [lt=,] [rev=false]) + Sort a multidimensional array \"A\" along the given dimension. "), -("Sorting and Related Functions","Base","sortperm","sortperm(v, [alg=,] [by=,] [lt=,] [rev=false]) +("Sorting and Related Functions","Base","sortperm","sortperm(v, +[alg=,] [by=,] [lt=,] [rev=false]) + Return a permutation vector of indices of \"v\" that puts it in sorted order. Specify \"alg\" to choose a particular sorting @@ -8601,19 +9907,25 @@ popdisplay(d::Display) "), -("Sorting and Related Functions","Base","sortrows","sortrows(A, [alg=,] [by=,] [lt=,] [rev=false]) +("Sorting and Related Functions","Base","sortrows","sortrows(A, +[alg=,] [by=,] [lt=,] [rev=false]) + Sort the rows of matrix \"A\" lexicographically. "), -("Sorting and Related Functions","Base","sortcols","sortcols(A, [alg=,] [by=,] [lt=,] [rev=false]) +("Sorting and Related Functions","Base","sortcols","sortcols(A, +[alg=,] [by=,] [lt=,] [rev=false]) + Sort the columns of matrix \"A\" lexicographically. "), -("Sorting and Related Functions","Base","issorted","issorted(v, [by=,] [lt=,] [rev=false]) +("Sorting and Related Functions","Base","issorted","issorted(v, +[by=,] [lt=,] [rev=false]) + Test whether a vector is in sorted order. The \"by\", \"lt\" and \"rev\" keywords modify what order is considered to be sorted just @@ -8621,7 +9933,10 @@ popdisplay(d::Display) "), -("Sorting and Related Functions","Base","searchsorted","searchsorted(a, x, [by=,] [lt=,] [rev=false]) +("Sorting and Related +Functions","Base","searchsorted","searchsorted(a, x, [by=,] +[lt=,] [rev=false]) + Returns the range of indices of \"a\" which compare as equal to \"x\" according to the order specified by the \"by\", \"lt\" and @@ -8631,7 +9946,10 @@ popdisplay(d::Display) "), -("Sorting and Related Functions","Base","searchsortedfirst","searchsortedfirst(a, x, [by=,] [lt=,] [rev=false]) +("Sorting and Related +Functions","Base","searchsortedfirst","searchsortedfirst(a, x, +[by=,] [lt=,] [rev=false]) + Returns the index of the first value in \"a\" greater than or equal to \"x\", according to the specified order. Returns \"length(a)+1\" @@ -8639,7 +9957,10 @@ popdisplay(d::Display) "), -("Sorting and Related Functions","Base","searchsortedlast","searchsortedlast(a, x, [by=,] [lt=,] [rev=false]) +("Sorting and Related +Functions","Base","searchsortedlast","searchsortedlast(a, x, +[by=,] [lt=,] [rev=false]) + Returns the index of the last value in \"a\" less than or equal to \"x\", according to the specified order. Returns \"0\" if \"x\" is @@ -8647,7 +9968,9 @@ popdisplay(d::Display) "), -("Sorting and Related Functions","Base","select!","select!(v, k, [by=,] [lt=,] [rev=false]) +("Sorting and Related Functions","Base","select!","select!(v, k, +[by=,] [lt=,] [rev=false]) + Partially sort the vector \"v\" in place, according to the order specified by \"by\", \"lt\" and \"rev\" so that the value at index @@ -8661,7 +9984,9 @@ popdisplay(d::Display) "), -("Sorting and Related Functions","Base","select","select(v, k, [by=,] [lt=,] [rev=false]) +("Sorting and Related Functions","Base","select","select(v, k, +[by=,] [lt=,] [rev=false]) + Variant of \"select!\" which copies \"v\" before partially sorting it, thereby returning the same thing as \"select!\" but leaving @@ -8671,6 +9996,7 @@ popdisplay(d::Display) ("Sparse Matrices","Base","sparse","sparse(I, J, V[, m, n, combine]) + Create a sparse matrix \"S\" of dimensions \"m x n\" such that \"S[I[k], J[k]] = V[k]\". The \"combine\" function is used to combine duplicates. If \"m\" and \"n\" are not specified, they are @@ -8681,6 +10007,7 @@ popdisplay(d::Display) ("Sparse Matrices","Base","sparsevec","sparsevec(I, V[, m, combine]) + Create a sparse matrix \"S\" of size \"m x 1\" such that \"S[I[k]] = V[k]\". Duplicates are combined using the \"combine\" function, which defaults to \"+\" if it is not provided. In julia, sparse @@ -8693,6 +10020,7 @@ popdisplay(d::Display) ("Sparse Matrices","Base","sparsevec","sparsevec(D::Dict[, m]) + Create a sparse matrix of size \"m x 1\" where the row values are keys from the dictionary, and the nonzero values are the values from the dictionary. @@ -8701,18 +10029,21 @@ popdisplay(d::Display) ("Sparse Matrices","Base","issparse","issparse(S) + Returns \"true\" if \"S\" is sparse, and \"false\" otherwise. "), ("Sparse Matrices","Base","sparse","sparse(A) + Convert a dense matrix \"A\" into a sparse matrix. "), ("Sparse Matrices","Base","sparsevec","sparsevec(A) + Convert a dense vector \"A\" into a sparse matrix of size \"m x 1\". In julia, sparse vectors are really just sparse matrices with one column. @@ -8721,24 +10052,28 @@ popdisplay(d::Display) ("Sparse Matrices","Base","dense","dense(S) + Convert a sparse matrix \"S\" into a dense matrix. "), ("Sparse Matrices","Base","full","full(S) + Convert a sparse matrix \"S\" into a dense matrix. "), ("Sparse Matrices","Base","spzeros","spzeros(m, n) + Create an empty sparse matrix of size \"m x n\". "), ("Sparse Matrices","Base","spones","spones(S) + Create a sparse matrix with the same structure as that of \"S\", but with every nonzero element having the value \"1.0\". @@ -8746,6 +10081,7 @@ popdisplay(d::Display) ("Sparse Matrices","Base","speye","speye(type, m[, n]) + Create a sparse identity matrix of specified type of size \"m x m\". In case \"n\" is supplied, create a sparse identity matrix of size \"m x n\". @@ -8754,12 +10090,14 @@ popdisplay(d::Display) ("Sparse Matrices","Base","spdiagm","spdiagm(v) + Construct a sparse diagonal matrix and place \"v\" on the diagonal. "), ("Sparse Matrices","Base","sprand","sprand(m, n, density[, rng]) + Create a random sparse matrix with the specified density. Nonzeros are sampled from the distribution specified by \"rng\". The uniform distribution is used in case \"rng\" is not specified. @@ -8768,6 +10106,7 @@ popdisplay(d::Display) ("Sparse Matrices","Base","sprandn","sprandn(m, n, density) + Create a random sparse matrix of specified density with nonzeros sampled from the normal distribution. @@ -8775,12 +10114,14 @@ popdisplay(d::Display) ("Sparse Matrices","Base","sprandbool","sprandbool(m, n, density) + Create a random sparse boolean matrix with the specified density. "), ("Sparse Matrices","Base","etree","etree(A[, post]) + Compute the elimination tree of a symmetric sparse matrix \"A\" from \"triu(A)\" and, optionally, its post-ordering permutation. @@ -8788,12 +10129,15 @@ popdisplay(d::Display) ("Unit and Functional Testing","Base.Test","@test","@test(ex) + Test the expression \"ex\" and calls the current handler to handle the result. "), -("Unit and Functional Testing","Base.Test","@test_throws","@test_throws(ex) +("Unit and Functional +Testing","Base.Test","@test_throws","@test_throws(ex) + Test the expression \"ex\" and calls the current handler to handle the result in the following manner: @@ -8805,27 +10149,36 @@ popdisplay(d::Display) "), -("Unit and Functional Testing","Base.Test","@test_approx_eq","@test_approx_eq(a, b) +("Unit and Functional +Testing","Base.Test","@test_approx_eq","@test_approx_eq(a, b) + Test two floating point numbers \"a\" and \"b\" for equality taking in account small numerical errors. "), -("Unit and Functional Testing","Base.Test","@test_approx_eq_eps","@test_approx_eq_eps(a, b, tol) +("Unit and Functional +Testing","Base.Test","@test_approx_eq_eps","@test_approx_eq_eps(a, b, +tol) + Test two floating point numbers \"a\" and \"b\" for equality taking in account a margin of tolerance given by \"tol\". "), -("Unit and Functional Testing","Base.Test","registerhandler","registerhandler(handler) +("Unit and Functional +Testing","Base.Test","registerhandler","registerhandler(handler) + Change the handler function used globally to \"handler\". "), -("Unit and Functional Testing","Base.Test","withhandler","withhandler(f, handler) +("Unit and Functional +Testing","Base.Test","withhandler","withhandler(f, handler) + Run the function \"f\" using the \"handler\" as the handler. diff --git a/doc/stdlib/base.rst b/doc/stdlib/base.rst index f6ead53310f3b..27e793e9eeeb3 100644 --- a/doc/stdlib/base.rst +++ b/doc/stdlib/base.rst @@ -2119,6 +2119,14 @@ Mathematical Functions Compute tangent of ``x``, where ``x`` is in degrees +.. function:: sinpi(x) + + Compute accurate :math:`\sin(\pi x)` + +.. function:: cospi(x) + + Compute accurate :math:`\cos(\pi x)` + .. function:: sinh(x) Compute hyperbolic sine of ``x``