feat: add constants/float16/phi

lib/node_modules/@stdlib/constants/float16/phi/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_PHI
+
+> [Golden ratio][phi].
+
+<section class="intro">
+
+The [golden ratio][phi] can be defined algebraically as
+
+<!-- <equation class="equation" label="eq:golden_ratio" align="center" raw="\phi = \frac{1 + \sqrt{5}}{2}" alt="Golden ratio"> -->
+
+```math
+\phi = \frac{1 + \sqrt{5}}{2}
+```
+
+<!-- </equation> -->
+
+</section>
+
+<!-- /.intro -->
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var FLOAT16_PHI = require( '@stdlib/constants/float16/phi' );
+```
+
+#### FLOAT16_PHI
+
+The [golden ratio][phi].
+
+```javascript
+var bool = ( FLOAT16_PHI === 1.6181640625 );
+// returns true
+```
+
+</section>
+
+<!-- /.usage -->
+
+<section class="notes">
+
+## Notes
+
+The value is approximately `1.6180339887498948482...` in double precision. Due to the limited precision of half-precision floating-point format (float16), the constant is rounded to `1.6181640625`.
+
+</section>
+
+<!-- /.notes -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var FLOAT16_PHI = require( '@stdlib/constants/float16/phi' );
+
+console.log( FLOAT16_PHI );
+// => 1.6181640625
+```
+
+</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">
+
+[phi]: https://en.wikipedia.org/wiki/Golden_ratio
+
+</section>
+
+<!-- /.links -->

lib/node_modules/@stdlib/constants/float16/phi/docs/repl.txt

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+
+{{alias}}
+    The golden ratio `φ`.
+
+    Examples
+    --------
+    > {{alias}}
+    1.6181640625
+
+    See Also
+    --------
+

lib/node_modules/@stdlib/constants/float16/phi/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
+
+/**
+* The golden ratio `φ`.
+*
+* @example
+* var val = FLOAT16_PHI;
+* // returns 1.6181640625
+*/
+declare const FLOAT16_PHI: number;
+
+
+// EXPORTS //
+
+export = FLOAT16_PHI;

lib/node_modules/@stdlib/constants/float16/phi/docs/types/test.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.
+*/
+
+import FLOAT16_PHI = require( './index' );
+
+
+// TESTS //
+
+// The export is a number...
+{
+	// eslint-disable-next-line @typescript-eslint/no-unused-expressions
+	FLOAT16_PHI; // $ExpectType number
+}

lib/node_modules/@stdlib/constants/float16/phi/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_PHI = require( './../lib' );
+
+console.log( FLOAT16_PHI );
+// => 1.6181640625

lib/node_modules/@stdlib/constants/float16/phi/lib/index.js

@@ -0,0 +1,49 @@
+/**
+* @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';
+
+/**
+* The golden ratio `φ`.
+*
+* @module @stdlib/constants/float16/phi
+* @type {number}
+*
+* @example
+* var FLOAT16_PHI = require( '@stdlib/constants/float16/phi' );
+* // returns 1.6181640625
+*/
+
+
+// MAIN //
+
+/**
+* The golden ratio `φ`.
+*
+* @constant
+* @type {number}
+* @default 1.6181640625
+* @see [OEIS]{@link http://oeis.org/A001622}
+* @see [Wikipedia]{@link https://en.wikipedia.org/wiki/Golden_ratio}
+*/
+var FLOAT16_PHI = 1.6181640625;
+
+
+// EXPORTS //
+
+module.exports = FLOAT16_PHI;

lib/node_modules/@stdlib/constants/float16/phi/package.json

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+{
+  "name": "@stdlib/constants/float16/phi",
+  "version": "0.0.0",
+  "description": "Half-precision (float16) approximation of the golden ratio (φ).",
+  "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",
+    "phi",
+    "golden-ratio",
+    "ieee754",
+    "float",
+    "floating-point",
+    "float16"
+  ]
+}

lib/node_modules/@stdlib/constants/float16/phi/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_PHI = require( './../lib' );
+
+
+// TESTS //
+
+tape( 'main export is a number', function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof FLOAT16_PHI, 'number', 'main export is a number' );
+	t.end();
+});
+
+tape( 'export is a half-precision floating-point number equal to 1.6181640625', function test( t ) {
+	t.strictEqual( FLOAT16_PHI, 1.6181640625, 'returns expected value' );
+	t.end();
+});