Repository: sinonjs/fake-timers (js)

Issue:
ClockTime constructor name is different, breaking mongoose Date checks
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-   FakeTimers version : 13.0.2
-   Environment : node 20.18 (macOS)
-   Other libraries you are using: sinon 19.0.2, mongoose 8.7.1

**What did you expect to happen?**
We're using Sinon together with mongoose. When using mongoose's `toJSON` and `toObject` to turn mongoose documents into plain objects while faking timers I'd expect fields with Date objects to remain Date objects (or at least look like them). This is the case in fake-timers 11.2.2.

**What actually happens**
While faking timers, when calling `toJSON` or `toObject` on a mongoose document, it turns any Date fields into a number (unix timestamp). This seems to happen because [mongoose determines whether an object is a Date or not using the constructor name](https://github.com/Automattic/mongoose/blob/0752c5daea10df87183a27ed7a1e2c3be33ef52a/lib/helpers/clone.js#L77-L89).

**How to reproduce**
```js
import mongoose from 'mongoose';
import sinon from 'sinon';

const DocModel = mongoose.model('doc',  new mongoose.Schema({ someDate: { type: Date } }));

const doc = new DocModel({ someDate: new Date() })

const plainDocBefore = doc.toObject()
console.log(plainDocBefore.someDate) // plainDocBefore.someDate is a Date object

sinon.useFakeTimers({ now: new Date(), toFake: ['Date', 'hrtime'] });

const plainDocAfter = doc.toObject()
console.log(plainDocAfter.someDate) // plainDocAfter.someDate is a unix timestamp (number)
```

Hope this is the right place to report this.

Pull request description:
Ensure checks based on the constructor property passes for fake Dates
#### Purpose (TL;DR) - mandatory

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Fixes #510 by mirroring the constructor prop of Date objects

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Patch:
diff --git a/src/fake-timers-src.js b/src/fake-timers-src.js
index 308daf1..f368628 100644
--- a/src/fake-timers-src.js
+++ b/src/fake-timers-src.js
@@ -447,6 +447,10 @@ function withGlobal(_global) {
                 } else {
                     super(...arguments);
                 }
+
+                // ensures identity checks using the constructor prop still works
+                // this should have no other functional effect
+                this.constructor = Date;
             }
 
             static [Symbol.hasInstance](instance) {


Test patch:
diff --git a/test/fake-timers-test.js b/test/fake-timers-test.js
index 7a67b9e..38e08e0 100644
--- a/test/fake-timers-test.js
+++ b/test/fake-timers-test.js
@@ -3200,6 +3200,15 @@ describe("FakeTimers", function () {
             assert(date instanceof realDate.constructor);
         });
 
+        // issue #510
+        it("creates Date objects where the constructor prop matches the original", function () {
+            const realDate = new Date();
+            const date = new this.clock.Date();
+
+            assert.equals(date.constructor.name, realDate.constructor.name);
+            assert.equals(date.constructor, realDate.constructor);
+        });
+
         it("creates Date objects representing clock time", function () {
             const date = new this.clock.Date();