feat: add constants/float16/sqrt-half-pi

lib/node_modules/@stdlib/constants/float16/sqrt-half-pi/README.md

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+<!--
+
+@license Apache-2.0
+
+Copyright (c) 2025 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.
+
+-->
+
+# FLOAT16_SQRT_HALF_PI
+
+> Square root of the mathematical constant [π][pi] divided by `2`.
+
+<section class="intro">
+
+</section>
+
+<!-- /.intro -->
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var FLOAT16_SQRT_HALF_PI = require( '@stdlib/constants/float16/sqrt-half-pi' );
+```
+
+#### FLOAT16_SQRT_HALF_PI
+
+Square root of the mathematical constant [π][pi] divided by `2`.
+
+```javascript
+var bool = ( FLOAT16_SQRT_HALF_PI === 1.2529296875 );
+// returns true
+```
+
+</section>
+
+<!-- /.usage -->
+
+<section class="notes">
+
+## Notes
+
+The value is approximately `1.2533141373155001...` in double precision. Due to the limited precision of half-precision floating-point format (float16), the constant is rounded to `1.2529296875`.
+
+</section>
+
+<!-- /.notes -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var FLOAT16_SQRT_HALF_PI = require( '@stdlib/constants/float16/sqrt-half-pi' );
+
+console.log( FLOAT16_SQRT_HALF_PI );
+// => 1.2529296875
+```
+
+</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">
+
+[pi]: https://en.wikipedia.org/wiki/Pi
+
+</section>
+
+<!-- /.links -->

lib/node_modules/@stdlib/constants/float16/sqrt-half-pi/docs/repl.txt

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+
+{{alias}}
+    Square root of the mathematical constant `π` divided by `2`.
+
+    Examples
+    --------
+    > {{alias}}
+    1.2529296875
+
+    See Also
+    --------
+

lib/node_modules/@stdlib/constants/float16/sqrt-half-pi/docs/types/index.d.ts

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+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2025 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
+
+/**
+* Square root of the mathematical constant `π` divided by `2`.
+*
+* @example
+* var val = FLOAT16_SQRT_HALF_PI;
+* // returns 1.2529296875
+*/
+declare const FLOAT16_SQRT_HALF_PI: number;
+
+
+// EXPORTS //
+
+export = FLOAT16_SQRT_HALF_PI;

lib/node_modules/@stdlib/constants/float16/sqrt-half-pi/docs/types/test.ts

@@ -0,0 +1,28 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2025 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 FLOAT16_SQRT_HALF_PI = require( './index' );
+
+
+// TESTS //
+
+// The export is a number...
+{
+	// eslint-disable-next-line @typescript-eslint/no-unused-expressions
+	FLOAT16_SQRT_HALF_PI; // $ExpectType number
+}

lib/node_modules/@stdlib/constants/float16/sqrt-half-pi/examples/index.js

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+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 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';
+
+var FLOAT16_SQRT_HALF_PI = require( './../lib' );
+
+console.log( FLOAT16_SQRT_HALF_PI );
+// => 1.2529296875

lib/node_modules/@stdlib/constants/float16/sqrt-half-pi/lib/index.js

@@ -0,0 +1,48 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 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';
+
+/**
+* Square root of the mathematical constant `π` divided by `2`.
+*
+* @module @stdlib/constants/float16/sqrt-half-pi
+* @type {number}
+*
+* @example
+* var FLOAT16_SQRT_HALF_PI = require( '@stdlib/constants/float16/sqrt-half-pi' );
+* // returns 1.2529296875
+*/
+
+
+// MAIN //
+
+/**
+* Square root of the mathematical constant `π` divided by `2`.
+*
+* @constant
+* @type {number}
+* @default 1.2529296875
+* @see [Wikipedia]{@link https://en.wikipedia.org/wiki/Pi}
+*/
+var FLOAT16_SQRT_HALF_PI = 1.2529296875;
+
+
+// EXPORTS //
+
+module.exports = FLOAT16_SQRT_HALF_PI;

lib/node_modules/@stdlib/constants/float16/sqrt-half-pi/package.json

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+{
+  "name": "@stdlib/constants/float16/sqrt-half-pi",
+  "version": "0.0.0",
+  "description": "Half-precision (float16) approximation of the square root of π/2.",
+  "license": "Apache-2.0",
+  "author": {
+    "name": "The Stdlib Authors",
+    "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+  },
+  "contributors": [
+    {
+      "name": "The Stdlib Authors",
+      "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+    }
+  ],
+  "main": "./lib",
+  "directories": {
+    "doc": "./docs",
+    "example": "./examples",
+    "lib": "./lib",
+    "test": "./test"
+  },
+  "types": "./docs/types",
+  "scripts": {},
+  "homepage": "https://github.com/stdlib-js/stdlib",
+  "repository": {
+    "type": "git",
+    "url": "git://github.com/stdlib-js/stdlib.git"
+  },
+  "bugs": {
+    "url": "https://github.com/stdlib-js/stdlib/issues"
+  },
+  "dependencies": {},
+  "devDependencies": {},
+  "engines": {
+    "node": ">=0.10.0",
+    "npm": ">2.7.0"
+  },
+  "os": [
+    "aix",
+    "darwin",
+    "freebsd",
+    "linux",
+    "macos",
+    "openbsd",
+    "sunos",
+    "win32",
+    "windows"
+  ],
+  "keywords": [
+    "stdlib",
+    "stdmath",
+    "constant",
+    "const",
+    "mathematics",
+    "math",
+    "sqrt",
+    "pi",
+    "half-pi",
+    "ieee754",
+    "float",
+    "floating-point",
+    "float16"
+  ]
+}

lib/node_modules/@stdlib/constants/float16/sqrt-half-pi/test/test.js

@@ -0,0 +1,38 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2025 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 tape = require( 'tape' );
+var FLOAT16_SQRT_HALF_PI = require( './../lib' );
+
+
+// TESTS //
+
+tape( 'main export is a number', function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof FLOAT16_SQRT_HALF_PI, 'number', 'main export is a number' );
+	t.end();
+});
+
+tape( 'export is a half-precision floating-point number equal to 1.2529296875', function test( t ) {
+	t.strictEqual( FLOAT16_SQRT_HALF_PI, 1.2529296875, 'returns expected value' );
+	t.end();
+});