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* @license Apache-2.0
*
* Copyright (c) 2018 The Stdlib Authors.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
'use strict';
// MODULES //
var isComplexLike = require( '@stdlib/assert/is-complex-like' );
var isNumber = require( '@stdlib/assert/is-number' ).isPrimitive;
var isNonNegativeInteger = require( '@stdlib/assert/is-nonnegative-integer' ).isPrimitive;
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var dtype = require( '@stdlib/complex/dtype' );
var ctors = require( '@stdlib/array/typed-float-ctors' );
var reinterpret64 = require( '@stdlib/strided/base/reinterpret-complex64' );
var reinterpret128 = require( '@stdlib/strided/base/reinterpret-complex128' );
var DEFAULTS = require( '@stdlib/array/defaults' );
var format = require( '@stdlib/string/format' );
var genreal = require( './generic_real.js' );
var gencmplx = require( './generic_complex.js' );
var typedreal = require( './typed_real.js' );
var typedcmplx = require( './typed_complex.js' );
var validate = require( './validate.js' );
var defaults = require( './defaults.json' );
// VARIABLES //
var DEFAULT_COMPLEX_DTYPE = DEFAULTS.get( 'dtypes.complex_floating_point' );
// MAIN //
/**
* Generates a linearly spaced array over a specified interval.
*
* @param {(number|ComplexLike)} start - start of interval
* @param {(number|ComplexLike)} stop - end of interval
* @param {NonNegativeInteger} len - length of output array
* @param {Options} [options] - options
* @param {string} [options.dtype] - output array data type
* @param {boolean} [options.endpoint=true] - boolean indicating whether to include the `stop` value in the output array
* @throws {TypeError} first argument must be either a real or complex number
* @throws {TypeError} second argument must be either a real or complex number
* @throws {TypeError} third argument must be a nonnegative integer
* @throws {TypeError} last argument must be an object
* @throws {TypeError} must provide valid options
* @throws {TypeError} the output array data type must be a complex number data type or "generic" when either `start` or `stop` is a complex number
* @throws {TypeError} the output array data type must be a real or complex floating-point number data type or "generic"
* @returns {(Array|TypedArray|ComplexArray)} linearly spaced array
*
* @example
* var arr = linspace( 0, 100, 6, {
* 'dtype': 'generic'
* });
* // returns [ 0, 20, 40, 60, 80, 100 ]
*/
function linspace( start, stop, len ) {
var opts;
var ctor;
var err;
var out;
var dt1;
var dt2;
var flg;
if ( typeof start === 'object' ) {
dt1 = dtype( start );
if ( dt1 === null ) {
if ( !isComplexLike( start ) ) {
throw new TypeError( format( 'invalid argument. First argument must be either a real or complex number. Value: `%s`.', start ) );
}
dt1 = 'complex128';
}
flg = true;
} else if ( !isNumber( start ) || isnan( start ) ) {
throw new TypeError( format( 'invalid argument. First argument must be either a real or complex number. Value: `%s`.', start ) );
} else {
dt1 = 'float64';
}
if ( typeof stop === 'object' ) {
dt2 = dtype( stop );
if ( dt2 === null ) {
if ( !isComplexLike( stop ) ) {
throw new TypeError( format( 'invalid argument. Second argument must be either a real or complex number. Value: `%s`.', stop ) );
}
dt2 = 'complex128';
}
flg = true;
} else if ( !isNumber( stop ) || isnan( stop ) ) {
throw new TypeError( format( 'invalid argument. Second argument must be either a real or complex number. Value: `%s`.', stop ) );
} else {
dt2 = 'float64';
}
if ( !isNonNegativeInteger( len ) ) {
throw new TypeError( format( 'invalid argument. Third argument must be a nonnegative integer. Value: `%s`.', len ) );
}
opts = {
'endpoint': defaults.endpoint
};
if ( dt1 === dt2 ) {
opts.dtype = dt1; // one of 'float64' || 'complex64' || 'complex128'
} else {
// If dtypes are different, then at least one is a complex number. According to type promotion rules, for all possible dtype permutations, the default output data type should be 'complex128'...
opts.dtype = DEFAULT_COMPLEX_DTYPE;
}
if ( arguments.length > 3 ) {
err = validate( opts, arguments[ 3 ] );
if ( err ) {
throw err;
}
}
if ( opts.dtype === 'generic' ) {
if ( flg ) {
return gencmplx( dt1, start, dt2, stop, len, opts.endpoint );
}
return genreal( start, stop, len, opts.endpoint );
}
ctor = ctors( opts.dtype );
if ( ctor === null ) {
throw new TypeError( format( 'invalid option. `%s` option must be a real or complex floating-point data type or "generic". Option: `%s`.', 'dtype', opts.dtype ) );
}
out = new ctor( len );
if ( opts.dtype === 'complex64' ) {
typedcmplx( reinterpret64( out, 0 ), dt1, start, dt2, stop, len, opts.endpoint ); // eslint-disable-line max-len
return out;
}
if ( opts.dtype === 'complex128' ) {
typedcmplx( reinterpret128( out, 0 ), dt1, start, dt2, stop, len, opts.endpoint ); // eslint-disable-line max-len
return out;
}
if ( flg ) {
throw new TypeError( 'invalid arguments. If either of the first two arguments are complex numbers, the output array data type must be a complex number data type or "generic".' );
}
return typedreal( out, start, stop, len, opts.endpoint );
}
// EXPORTS //
module.exports = linspace;
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