📄 slangfun.txt
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_isnull SYNOPSIS Check array for NULL elements USAGE Char_Type[] = _isnull (a[]) DESCRIPTION This function may be used to test for the presence of NULL elements of an array. Specifically, it returns a `Char_Type' array of with the same number of elements and dimensionality of the input array. If an element of the input array is NULL, then the corresponding element of the output array will be set to 1, otherwise it will be set to 0. EXAMPLE Set all NULL elements of a string array `A' to the empty string `""': A[where(_isnull(A))] = ""; NOTES It is important to understand the difference between `A==NULL' and `_isnull(A)'. The latter tests all elements of `A' against NULL, whereas the former only tests `A' itself. SEE ALSO where, array_map--------------------------------------------------------------_reshape SYNOPSIS Copy an array to a new shape USAGE Array_Type _reshape (Array_Type A, Array_Type I) DESCRIPTION The `_reshape' function creates a copy of an array `A', reshapes it to the form specified by `I' and returns the result. The elements of `I' specify the new dimensions of the copy of `A' and must be consistent with the number of elements `A'. EXAMPLE If `A' is a `100' element 1-d array, a new array 2-d array of size `20' by `5' may be created from the elements of `A' by A = _reshape (A, [20, 5]); In this example, the original array was no longer needed. Hence, it is preferable to make use of the `__tmp' operator to avoid the creation of a new array, i.e., A = _reshape (__tmp(A), [20,5]); NOTES The `reshape' function performs a similar function to `_reshape'. In fact, the `_reshape' function could have been implemented via: define _reshape (a, i) { a = @a; % Make a new copy reshape (a, i); return a; } SEE ALSO reshape, array_info--------------------------------------------------------------array_info SYNOPSIS Returns information about an array USAGE (Array_Type, Integer_Type, DataType_Type) array_info (Array_Type a) DESCRIPTION The `array_info' function returns information about the array `a'. It returns three values: an 1-d integer array specifying the size of each dimension of `a', the number of dimensions of `a', and the data type of `a'. EXAMPLE The `array_info' function may be used to find the number of rows of an array: define num_rows (a) { variable dims, num_dims, data_type; (dims, num_dims, data_type) = array_info (a); return dims [0]; } For 1-d arrays, this information is more easily obtained from the `length' function. SEE ALSO typeof, reshape, length, _reshape--------------------------------------------------------------array_map SYNOPSIS Apply a function to each element of an array USAGE Array_Type array_map (type, func, arg0, ...) DataType_Type type; Ref_Type func; DESCRIPTION The `array_map' function may be used to apply a function to each element of an array and returns the result as an array of a specified type. The `type' parameter indicates what kind of array should be returned and generally corresponds to the return type of the function. The `arg0' parameter should be an array and is used to determine the dimensions of the resulting array. If any subsequent arguments correspond to an array of the same size, then those array elements will be passed in parallel with the first arrays arguments. EXAMPLE The first example illustrates how to apply the `strlen' function to an array of strings: S = ["", "Train", "Subway", "Car"]; L = array_map (Integer_Type, &strlen, S); This is equivalent to: S = ["", "Train", "Subway", "Car"]; L = Integer_Type [length (S)]; for (i = 0; i < length (S); i++) L[i] = strlen (S[i]); Now consider an example involving the `strcat' function: files = ["slang", "slstring", "slarray"]; exts = ".c"; cfiles = array_map (String_Type, &strcat, files, exts); % ==> cfiles = ["slang.c slstring.c slarray.c"]; exts = [".a",".b",".c"]; xfiles = array_map (String_Type, &strcat, files, exts); % ==> xfiles = ["slang.a", "slstring.b", "slarray.c"]; NOTES Many mathemetical functions already work transparantly on arrays. For example, the following two statements produce identical results: B = sin (A); B = array_map (Double_Type, &sin, A); SEE ALSO array_info, strlen, strcat, sin--------------------------------------------------------------array_sort SYNOPSIS Sort an array USAGE Array_Type array_sort (Array_Type a [, String_Type or Ref_Type f]) DESCRIPTION `array_sort' sorts the array `a' into ascending order and returns an integer array that represents the result of the sort. If the optional second parameter `f' is present, the function specified by `f' will be used to compare elements of `a'; otherwise, a built-in sorting function will be used. If `f' is present, then it must be either a string representing the name of the comparison function, or a reference to the function. The sort function represented by `f' must be a S-Lang user-defined function that takes two arguments. The function must return an integer that is less than zero if the first parameter is considered to be less than the second, zero if they are equal, and a value greater than zero if the first is greater than the second. If the comparision function is not specified, then a built-in comparison function appropriate for the data type will be used. For example, if `a' is an array of character strings, then the sort will be preformed using `strcmp'. The integer array returned by this function is simply an index that indicates the order of the sorted array. The input array `a' is not changed. EXAMPLE An array of strings may be sorted using the `strcmp' function since it fits the specification for the sorting function described above: variable A = String_Type [3]; A[0] = "gamma"; A[1] = "alpha"; A[2] = "beta"; variable I = array_sort (A, &strcmp); Alternatively, one may use variable I = array_sort (A); to use the built-in comparison function. After the `array_sort' has executed, the variable `I' will have the values `[2, 0, 1]'. This array can be used to re-shuffle the elements of `A' into the sorted order via the array index expression `A = A[I]'. SEE ALSO strcmp--------------------------------------------------------------cumsum SYNOPSIS Compute the cumulative sum of an array USAGE result = cumsum (Array_Type a [, Int_Type dim]) DESCRIPTION The `cumsum' function performs a cumulative sum over the elements of a numeric array and returns the resulting. If a second argument is given, then it specifies the dimension of the array to be summed over. For example, the cumulative sum of `[1,2,3,4]', is the array `[1,1+2,1+2+3,1+2+3+4]', i.e., `[1,3,6,10]'. SEE ALSO sum--------------------------------------------------------------init_char_array SYNOPSIS Initialize an array of characters USAGE init_char_array (Array_Type a, String_Type s) DESCRIPTION The `init_char_array' function may be used to initialize a character array `a' by setting the elements of the array `a' to the corresponding characters of the string `s'. EXAMPLE The statements variable a = Char_Type [10]; init_char_array (a, "HelloWorld"); creates an character array and initializes its elements to the characters in the string `"HelloWorld"'. NOTES The character array must be large enough to hold all the characters of the initialization string. SEE ALSO bstring_to_array, strlen, strcat--------------------------------------------------------------length SYNOPSIS Get the length of an object USAGE Integer_Type length (obj) DESCRIPTION The `length' function may be used to get information about the length of an object. For simple scalar data-types, it returns 1. For arrays, it returns the total number of elements of the array. NOTES If `obj' is a string, `length' returns 1 because a `String_Type' object is considered to be a scalar. To get the number of characters in a string, use the `strlen' function. SEE ALSO array_info, typeof, strlen--------------------------------------------------------------max SYNOPSIS Get the maximum value of an array USAGE result = max (Array_Type a [,Int_Type dim]) DESCRIPTION The `max' function examines the elements of a numeric array and returns the value of the largest element. If a second argument is given, then it specifies the dimension of the array to be searched. In this case, an array of dimension one less than that of the input array will be returned with the corresponding elements in the specified dimension replaced by the minimum value in that dimension. EXAMPLE Consider the 2-d array 1 2 3 4 5 6 7 8 9 10 generated by a = _reshape ([1:10], [2, 5]); Then `max(a)' will return `10', and `max(a,0)' will return a 1-d array with elements 6 7 8 9 10 SEE ALSO max, sum, reshape--------------------------------------------------------------min SYNOPSIS Get the minimum value of an array USAGE result = min (Array_Type a [,Int_Type dim]) DESCRIPTION The `min' function examines the elements of a numeric array and returns the value of the smallest element. If a second argument is given, then it specifies the dimension of the array to be searched. In this case, an array of dimension one less than that of the input array will be returned with the corresponding elements in the specified dimension replaced by the minimum value in that dimension. EXAMPLE Consider the 2-d array 1 2 3 4 5 6 7 8 9 10 generated by a = _reshape ([1:10], [2, 5]); Then `min(a)' will return `1', and `min(a,0)' will return a 1-d array with elements 1 2 3 4 5 SEE ALSO max, sum, reshape--------------------------------------------------------------reshape SYNOPSIS Reshape an array USAGE reshape (Array_Type A, Array_Type I) DESCRIPTION The `reshape' function changes the size of `A' to have the size specified by the 1-d integer array `I'. The elements of `I' specify the new dimensions of `A' and must be consistent with the number of elements `A'. EXAMPLE If `A' is a `100' element 1-d array, it can be changed to a 2-d `20' by `5' array via reshape (A, [20, 5]); However, `reshape(A, [11,5])' will result in an error because the `[11,5]' array specifies `55' elements. NOTES Since `reshape' modifies the shape of an array, and arrays are treated as references, then all references to the array will reference the new shape. If this effect is unwanted, then use the `_reshape' function instead. SEE ALSO _reshape, array_info--------------------------------------------------------------sum SYNOPSIS Sum over the elements of an array USAGE result = sum (Array_Type a [, Int_Type dim]) DESCRIPTION The `sum' function sums over the elements of a numeric array and returns its result. If a second argument is given, then it specifies the dimension of the array to be summed over. In this case, an array of dimension one less than that of the input array will be returned. If the input array is an integer type, then the resulting value will be a `Double_Type'. If the input array is a `Float_Type', then the result will be a `Float_Type'. EXAMPLE The mean of an array `a' of numbers is sum(a)/length(a) SEE ALSO cumsum, transpose, reshape--------------------------------------------------------------transpose SYNOPSIS Transpose an array USAGE Array_Type transpose (Array_Type a) DESCRIPTION The `transpose' function returns the transpose of a specified array. By definition, the transpose of an array, say one with elements `a[i,j,...k]' is an array whose elements are `a[k,...,j,i]'. SEE ALSO _reshape, reshape, sum, array_info--------------------------------------------------------------where SYNOPSIS Get indices where an integer array is non-zero USAGE Array_Type where (Array_Type a) DESCRIPTION The `where' function examines an numeric array `a' and returns an integer array giving the indices of `a' where the corresponding element of `a' is non-zero. Although this function may appear to be simple or even trivial, it is arguably one of the most important and powerful functions for manipulating arrays. EXAMPLE Consider the following: variable X = [0.0:10.0:0.01]; variable A = sin (X); variable I = where (A < 0.0); A[I] = cos (X) [I]; Here the variable `X' has been assigned an array of doubles whose elements range from `0.0' through `10.0' in increments of `0.01'. The second statement assigns `A' to an array whose elements are the `sin' of the elements of `X'. The third statement uses the where function to get the indices of the elements of `A' that are less than `0.0'. Finally, the last statement substitutes into `A' the `cos' of the elements of `X' at the positions of `A' where the corresponding `sin' is less than `0'. The end result is that the elements of `A' are a mixture of sines and cosines. SEE ALSO array_info, sin, cos--------------------------------------------------------------assoc_delete_key SYNOPSIS Delete a key from an Associative Array USAGE assoc_delete_key (Assoc_Type a, String_Type k) DESCRIPTION
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