README.md (11337B)
1 <!-- 2 3 @license Apache-2.0 4 5 Copyright (c) 2018 The Stdlib Authors. 6 7 Licensed under the Apache License, Version 2.0 (the "License"); 8 you may not use this file except in compliance with the License. 9 You may obtain a copy of the License at 10 11 http://www.apache.org/licenses/LICENSE-2.0 12 13 Unless required by applicable law or agreed to in writing, software 14 distributed under the License is distributed on an "AS IS" BASIS, 15 WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. 16 See the License for the specific language governing permissions and 17 limitations under the License. 18 19 --> 20 21 # Multidimensional Arrays 22 23 > Create a multidimensional array. 24 25 <!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. --> 26 27 <section class="intro"> 28 29 </section> 30 31 <!-- /.intro --> 32 33 <!-- Package usage documentation. --> 34 35 <section class="usage"> 36 37 ## Usage 38 39 ```javascript 40 var array = require( '@stdlib/ndarray/array' ); 41 ``` 42 43 <a name="main"></a> 44 45 #### array( \[buffer,] \[options] ) 46 47 Returns a multidimensional array. 48 49 ```javascript 50 // Create a 2x2 matrix: 51 var arr = array( [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ] ); 52 // returns <ndarray> 53 ``` 54 55 To initialize multidimensional array data, provide a `buffer` argument, which may be a [generic array][@stdlib/array/generic], [typed array][@stdlib/array/typed], [Buffer][@stdlib/buffer/ctor], or [ndarray][@stdlib/ndarray/ctor]. 56 57 <!-- eslint-disable object-curly-spacing, object-curly-newline --> 58 59 ```javascript 60 var Float64Array = require( '@stdlib/array/float64' ); 61 var allocUnsafe = require( '@stdlib/buffer/alloc-unsafe' ); 62 63 // Create an ndarray from a generic array linear data buffer: 64 var arr = array( [ 1.0, 2.0, 3.0, 4.0 ], { 'shape': [ 2, 2 ] } ); 65 // returns <ndarray> 66 67 // Create an ndarray from a typed array linear data buffer: 68 arr = array( new Float64Array( [ 1.0, 2.0, 3.0, 4.0 ] ), { 'shape': [ 2, 2 ] } ); 69 // returns <ndarray> 70 71 // Create an ndarray as a view over a Buffer: 72 arr = array( allocUnsafe( 4 ), { 'shape': [ 2, 2 ] } ); 73 // returns <ndarray> 74 75 // Create an ndarray from another ndarray: 76 arr = array( array( [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ] ) ); 77 // returns <ndarray> 78 ``` 79 80 The function accepts the following `options`: 81 82 - `buffer`: data source. If provided along with a `buffer` argument, the argument takes precedence. 83 84 - `dtype`: underlying storage [data type][@stdlib/ndarray/dtypes]. If not specified and a data source is provided, the data type is inferred from the provided data source. If an input data source is not of the same type, this option specifies the data type to which to cast the input data. For non-[`ndarray`][@stdlib/ndarray/ctor] generic array data sources, the function casts generic array data elements to the default data type. In order to prevent this cast, the `dtype` option **must** be explicitly set to `'generic'`. Any time a cast is required, the `copy` option is set to `true`, as memory must be copied from the data source to an output data buffer. Default: `'float64'`. 85 86 - `order`: specifies the memory layout of the data source as either row-major (C-style) or column-major (Fortran-style). The option may be one of the following values: 87 88 - `row-major`: the order of the returned array is row-major. 89 - `column-major`: the order of the returned array is column-major. 90 - `any`: if a data source is column-major and not row-major, the order of the returned array is column-major; otherwise, the order of the returned array is row-major. 91 - `same`: the order of the returned array matches the order of an input data source. 92 93 Note that specifying an order which differs from the order of a provided data source does **not** entail a conversion from one memory layout to another. In short, this option is descriptive, not prescriptive. Default: `'row-major'`. 94 95 - `shape`: array shape (dimensions). If a shape is not specified, the function attempts to infer a shape based on a provided data source. For example, if provided a nested array, the function resolves nested array dimensions. If provided a multidimensional array data source, the function uses the array's associated shape. For most use cases, such inference suffices. For the remaining use cases, specifying a shape is necessary. For example, provide a shape to create a multidimensional array view over a linear data buffer, ignoring any existing shape meta data associated with a provided data source. 96 97 - `flatten`: `boolean` indicating whether to automatically flatten generic array data sources. If an array shape is not specified, the shape is inferred from the dimensions of nested arrays prior to flattening. If a use case requires partial flattening, partially flatten **prior** to invoking this function and set the option value to `false` to prevent further flattening during invocation. Default: `true`. 98 99 - `copy`: `boolean` indicating whether to (shallow) copy source data to a new data buffer. The function does **not** perform a deep copy. To prevent undesired shared changes in state for generic arrays containing objects, perform a deep copy **prior** to invoking this function. Default: `false`. 100 101 - `ndmin`: specifies the minimum number of dimensions. If an array shape has fewer dimensions than required by `ndmin`, the function **prepends** singleton dimensions to the array shape in order to satisfy the dimensions requirement. Default: `0`. 102 103 - `casting`: specifies the casting rule used to determine acceptable casts. The option may be one of the following values: 104 105 - `none`: only allow casting between identical types. 106 - `equiv`: allow casting between identical and byte swapped types. 107 - `safe`: only allow "safe" casts. 108 - `same-kind`: allow "safe" casts and casts within the same kind (e.g., between signed integers or between floats). 109 - `unsafe`: allow casting between all types (including between integers and floats). 110 111 Default: `'safe'`. 112 113 - `mode`: specifies how to handle indices which exceed array dimensions. 114 115 - `throw`: specifies that an [`ndarray`][@stdlib/ndarray/ctor] instance should throw an error when an index exceeds array dimensions. 116 - `wrap`: specifies that an [`ndarray`][@stdlib/ndarray/ctor] instance should wrap around an index exceeding array dimensions using modulo arithmetic. 117 - `clamp`: specifies that an [`ndarray`][@stdlib/ndarray/ctor] instance should set an index exceeding array dimensions to either `0` (minimum index) or the maximum index. 118 119 Default: `'throw'`. 120 121 - `submode`: a mode array which specifies for each dimension how to handle subscripts which exceed array dimensions. If provided fewer modes than dimensions, the function recycles modes using modulo arithmetic. Default: `[ options.mode ]`. 122 123 By default, an [`ndarray`][@stdlib/ndarray/ctor] instance **throws** when provided an index which exceeds array dimensions. To support alternative indexing behavior, set the `mode` option, which will affect all public methods for getting and setting array elements. 124 125 ```javascript 126 var opts = { 127 'mode': 'clamp' 128 }; 129 130 var arr = array( [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ], opts ); 131 // returns <ndarray> 132 133 // Attempt to access an out-of-bounds linear index (clamped): 134 var v = arr.iget( 10 ); 135 // returns 4.0 136 ``` 137 138 By default, the `mode` option is applied to subscripts which exceed array dimensions. To specify behavior for each dimension, set the `submode` option. 139 140 ```javascript 141 var opts = { 142 'submode': [ 'wrap', 'clamp' ] 143 }; 144 145 var arr = array( [ [[1.0, 2.0], [3.0, 4.0]], [[5.0, 6.0], [7.0, 8.0]] ], opts ); 146 // returns <ndarray> 147 148 // Attempt to access out-of-bounds subscripts: 149 var v = arr.get( -2, 10, -1 ); // linear index: 3 150 // returns 4.0 151 ``` 152 153 By default, the function automatically flattens [generic array][@stdlib/array/generic] data sources. To prevent flattening, set the `flatten` option to `false`. 154 155 ```javascript 156 var opts = { 157 'flatten': false, 158 'dtype': 'generic' 159 }; 160 161 // Create a generic array which will serve as our ndarray data source: 162 var buf = [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ]; 163 164 // Create a 2-element vector: 165 var arr = array( buf, opts ); 166 // returns <ndarray> 167 168 // Retrieve the first vector element: 169 var v = arr.get( 0 ); 170 // returns [ 1.0, 2.0 ] 171 172 var bool = ( v === buf[ 0 ] ); 173 // returns true 174 ``` 175 176 </section> 177 178 <!-- /.usage --> 179 180 <!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> 181 182 <section class="notes"> 183 184 * * * 185 186 ## Notes 187 188 - The number of elements in a data source `buffer` **must** agree with a specified array `shape` (i.e., the function assumes a single-segment contiguous [`ndarray`][@stdlib/ndarray/ctor]). To create arbitrary multidimensional views over linear data buffers, use a [lower-level constructor][@stdlib/ndarray/ctor]. 189 - The function supports arbitrary casting between data types. Note, however, that casting from a larger data type to a smaller data type (e.g., `int32` to `int8`) and between signed and unsigned types of the same size should be considered **unsafe**. 190 191 </section> 192 193 <!-- /.notes --> 194 195 <!-- Package usage examples. --> 196 197 <section class="examples"> 198 199 * * * 200 201 ## Examples 202 203 <!-- eslint no-undef: "error" --> 204 205 ```javascript 206 var array = require( '@stdlib/ndarray/array' ); 207 208 // Create a 4-dimensional array containing single-precision floating-point numbers: 209 var arr = array({ 210 'dtype': 'float32', 211 'shape': [ 3, 3, 3, 3 ] 212 }); 213 214 // Retrieve an array value: 215 var v = arr.get( 1, 2, 1, 2 ); 216 // returns 0.0 217 218 // Set an array value: 219 arr.set( 1, 2, 1, 2, 10.0 ); 220 221 // Retrieve the array value: 222 v = arr.get( 1, 2, 1, 2 ); 223 // returns 10.0 224 225 // Serialize the array as a string: 226 var str = arr.toString(); 227 // returns "ndarray( 'float32', new Float32Array( [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ), [ 3, 3, 3, 3 ], [ 27, 9, 3, 1 ], 0, 'row-major' )" 228 229 // Serialize the array as JSON: 230 str = JSON.stringify( arr.toJSON() ); 231 // returns '{"type":"ndarray","dtype":"float32","flags":{},"order":"row-major","shape":[3,3,3,3],"strides":[27,9,3,1],"data":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]}' 232 ``` 233 234 </section> 235 236 <!-- /.examples --> 237 238 <!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> 239 240 <section class="references"> 241 242 </section> 243 244 <!-- /.references --> 245 246 <!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> 247 248 <section class="links"> 249 250 [@stdlib/ndarray/dtypes]: https://www.npmjs.com/package/@stdlib/ndarray/tree/main/dtypes 251 252 [@stdlib/ndarray/ctor]: https://www.npmjs.com/package/@stdlib/ndarray/tree/main/ctor 253 254 [@stdlib/array/generic]: https://www.npmjs.com/package/@stdlib/array-generic 255 256 [@stdlib/array/typed]: https://www.npmjs.com/package/@stdlib/array-typed 257 258 [@stdlib/buffer/ctor]: https://www.npmjs.com/package/@stdlib/buffer-ctor 259 260 </section> 261 262 <!-- /.links -->