feat: add stats/incr/nanmidrange

lib/node_modules/@stdlib/stats/incr/nanmidrange/README.md

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+<!--
+
+@license Apache-2.0
+
+Copyright (c) 2026 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.
+
+-->
+
+# incrnanmidrange
+
+> Compute a [mid-range][mid-range] incrementally, ignoring `NaN` values.
+
+<section class="intro">
+
+The [**mid-range**][mid-range], or **mid-extreme**, is the arithmetic mean of maximum and minimum values. Accordingly, the [mid-range][mid-range] is the midpoint of the [range][range] and a measure of central tendency.
+
+</section>
+
+<!-- /.intro -->
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var incrnanmidrange = require( '@stdlib/stats/incr/nanmidrange' );
+```
+
+#### incrnanmidrange()
+
+Returns an accumulator `function` which incrementally computes a [mid-range][mid-range], ignoring `NaN` values.
+
+```javascript
+var accumulator = incrnanmidrange();
+```
+
+#### accumulator( \[x] )
+
+If provided an input value `x`, the accumulator function returns an updated [mid-range][mid-range]. If not provided an input value `x`, the accumulator function returns the current [mid-range][mid-range].
+
+```javascript
+var accumulator = incrnanmidrange();
+
+var midrange = accumulator();
+// returns null
+
+midrange = accumulator( -2.0 );
+// returns -2.0
+
+midrange = accumulator( NaN );
+// returns -2.0
+
+midrange = accumulator( 1.0 );
+// returns -0.5
+
+midrange = accumulator( 3.0 );
+// returns 0.5
+
+midrange = accumulator();
+// returns 0.5
+```
+
+</section>
+
+<!-- /.usage -->
+
+<section class="notes">
+
+## Notes
+
+-   Input values are **not** type checked. If non-numeric inputs are possible, you are advised to type check and handle accordingly **before** passing the value to the accumulator function.
+
+</section>
+
+<!-- /.notes -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var uniform = require( '@stdlib/random/base/uniform' );
+var bernoulli = require( '@stdlib/random/base/bernoulli' );
+var incrnanmidrange = require( '@stdlib/stats/incr/nanmidrange' );
+
+var accumulator;
+var v;
+var i;
+
+// Initialize an accumulator:
+accumulator = incrnanmidrange();
+
+// For each simulated datum, update the mid-range...
+for ( i = 0; i < 100; i++ ) {
+    v = ( bernoulli( 0.8 ) < 1 ) ? NaN : uniform( 0.0, 100.0 );
+    accumulator( v );
+}
+console.log( accumulator() );
+```
+
+</section>
+
+<!-- /.examples -->
+
+<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
+
+<section class="related">
+
+</section>
+
+<!-- /.related -->
+
+<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="links">
+
+[range]: https://en.wikipedia.org/wiki/Range_%28statistics%29
+
+[mid-range]: https://en.wikipedia.org/wiki/Mid-range
+
+<!-- <related-links> -->
+
+<!-- </related-links> -->
+
+</section>
+
+<!-- /.links -->

lib/node_modules/@stdlib/stats/incr/nanmidrange/benchmark/benchmark.js

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+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 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 bench = require( '@stdlib/bench' );
+var randu = require( '@stdlib/random/base/randu' );
+var pkg = require( './../package.json' ).name;
+var incrnanmidrange = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+	var f;
+	var i;
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		f = incrnanmidrange();
+		if ( typeof f !== 'function' ) {
+			b.fail( 'should return a function' );
+		}
+	}
+	b.toc();
+	if ( typeof f !== 'function' ) {
+		b.fail( 'should return a function' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});
+
+bench( pkg+'::accumulator', function benchmark( b ) {
+	var acc;
+	var v;
+	var i;
+
+	acc = incrnanmidrange();
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		v = acc( randu() );
+		if ( v !== v ) {
+			b.fail( 'should not return NaN' );
+		}
+	}
+	b.toc();
+	if ( v !== v ) {
+		b.fail( 'should not return NaN' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});

lib/node_modules/@stdlib/stats/incr/nanmidrange/docs/repl.txt

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+
+{{alias}}()
+    Returns an accumulator function which incrementally computes a mid-range,
+    ignoring `NaN` values.
+
+    The mid-range is the arithmetic mean of maximum and minimum values.
+    Accordingly, the mid-range is the midpoint of the range and a measure of
+    central tendency.
+
+    If provided a value, the accumulator function returns an updated mid-range.
+    If not provided a value, the accumulator function returns the current mid-
+    range.
+
+    Returns
+    -------
+    acc: Function
+        Accumulator function.
+
+    Examples
+    --------
+    > var accumulator = {{alias}}();
+    > var v = accumulator()
+    null
+    > v = accumulator( 3.14 )
+    3.14
+    > v = accumulator( NaN )
+    3.14
+    > v = accumulator( -5.0 )
+    ~-0.93
+    > v = accumulator( 10.1 )
+    2.55
+    > v = accumulator()
+    2.55
+
+    See Also
+    --------
+

lib/node_modules/@stdlib/stats/incr/nanmidrange/docs/types/index.d.ts

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+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 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.
+*/
+
+// TypeScript Version: 4.1
+
+/// <reference types="@stdlib/types"/>
+
+/**
+* If provided a value, returns an updated mid-range; otherwise, returns the current mid-range.
+*
+* ## Notes
+*
+* -   The mid-range is the arithmetic mean of maximum and minimum values. Accordingly, the mid-range is the midpoint of the range and a measure of central tendency.
+*
+* @param x - value
+* @returns mid-range
+*/
+type accumulator = ( x?: number ) => number | null;
+
+/**
+* Returns an accumulator function which incrementally computes a mid-range, ignoring `NaN` values.
+*
+* @returns accumulator function
+*
+* @example
+* var accumulator = incrnanmidrange();
+*
+* var midrange = accumulator();
+* // returns null
+*
+* midrange = accumulator( 3.14 );
+* // returns 3.14
+*
+* midrange = accumulator( -5.0 );
+* // returns ~-0.93
+*
+* midrange = accumulator( 10.1 );
+* // returns 2.55
+*
+* midrange = accumulator();
+* // returns 2.55
+*/
+declare function incrnanmidrange(): accumulator;
+
+
+// EXPORTS //
+
+export = incrnanmidrange;

lib/node_modules/@stdlib/stats/incr/nanmidrange/docs/types/test.ts

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+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 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.
+*/
+
+import incrnanmidrange = require( './index' );
+
+
+// TESTS //
+
+// The function returns an accumulator function...
+{
+	incrnanmidrange(); // $ExpectType accumulator
+}
+
+// The compiler throws an error if the function is provided arguments...
+{
+	incrnanmidrange( '5' ); // $ExpectError
+	incrnanmidrange( 5 ); // $ExpectError
+	incrnanmidrange( true ); // $ExpectError
+	incrnanmidrange( false ); // $ExpectError
+	incrnanmidrange( null ); // $ExpectError
+	incrnanmidrange( undefined ); // $ExpectError
+	incrnanmidrange( [] ); // $ExpectError
+	incrnanmidrange( {} ); // $ExpectError
+	incrnanmidrange( ( x: number ): number => x ); // $ExpectError
+}
+
+// The function returns an accumulator function which returns an accumulated result...
+{
+	const acc = incrnanmidrange();
+
+	acc(); // $ExpectType number | null
+	acc( 3.14 ); // $ExpectType number | null
+	acc( 5 ); // $ExpectType number | null
+	acc( -2 ); // $ExpectType number | null
+}
+
+// The compiler throws an error if the returned accumulator function is provided invalid arguments...
+{
+	const acc = incrnanmidrange();
+
+	acc( '5' ); // $ExpectError
+	acc( true ); // $ExpectError
+	acc( false ); // $ExpectError
+	acc( null ); // $ExpectError
+	acc( [] ); // $ExpectError
+	acc( {} ); // $ExpectError
+	acc( ( x: number ): number => x ); // $ExpectError
+}