* data validation
* data serialization
* data documentation, etc.

This works the same way as with Pydantic models. And it is actually achieved in the same way underneath, using Pydantic.

/// info

Keep in mind that dataclasses can't do everything Pydantic models can do.

So, you might still need to use Pydantic models.

	FNMADDD	F29, F14, F27		// 7bbbae08
	FNMSUBF	F17, F8, F12		// 8ca1d808
	FNMSUBD	F29, F21, F3		// 63d4ee08

	FMINF	F4, F5, F6		// a6900a01
	FMINF	F4, F5			// a5900a01
	FMIND	F4, F5, F6		// a6100b01
	FMIND	F4, F5			// a5100b01
	FMAXF	F4, F5, F6		// a6900801
	FMAXF	F4, F5			// a5900801
	FMAXD	F4, F5, F6		// a6100901
	FMAXD	F4, F5			// a5100901

	FCOPYSGF	F4, F5, F6	// a6901201

Passing the `root_path` to `FastAPI` would be the equivalent of passing the `--root-path` command line option to Uvicorn or Hypercorn.

### About `root_path`

Keep in mind that the server (Uvicorn) won't use that `root_path` for anything else than passing it to the app.

Including how to handle lifespan state that can be used in other areas of your code.

///

## Sub Applications

For example, to declare another response with a status code `404` and a Pydantic model `Message`, you can write:

{* ../../docs_src/additional_responses/tutorial001.py hl[18,22] *}

/// note

Keep in mind that you have to return the `JSONResponse` directly.

///

/// info

The `model` key is not part of OpenAPI.

    assertThat(copy.columnKeySet()).containsExactlyElementsIn(original.columnKeySet()).inOrder();
  }

  @J2ktIncompatible
  @GwtIncompatible // Mind-bogglingly slow in GWT
  @AndroidIncompatible // slow
  public void testOverflowCondition() {
    // See https://github.com/google/guava/issues/1322 for details.

The important thing to keep in mind is that the `sub` key should have a unique identifier across the entire application, and it should be a string.

## Check it

	// 21.4: Double-Precision Floating-Point Computational Instructions
	FADDD	F1, F0, F2				// 53011002
	FSUBD	F1, F0, F2				// 5301100a
	FMULD	F1, F0, F2				// 53011012
	FDIVD	F1, F0, F2				// 5301101a
	FMIND	F1, F0, F2				// 5301102a
	FMAXD	F1, F0, F2				// 5311102a
	FSQRTD	F0, F1					// d300005a

	// 21.5: Double-Precision Floating-Point Conversion and Move Instructions
	FCVTWD	F0, X5					// d31200c2

   * transformation function.
   *
   * <p>The primary audience of this method is callers of {@code transform} who don't have a {@code
   * ListenableFuture} available and do not mind repeated, lazy function evaluation.
   *
   * @param input The future to transform
   * @param function A Function to transform the results of the provided future to the results of
   *     the returned future.

   * transformation function.
   *
   * <p>The primary audience of this method is callers of {@code transform} who don't have a {@code
   * ListenableFuture} available and do not mind repeated, lazy function evaluation.
   *
   * @param input The future to transform
   * @param function A Function to transform the results of the provided future to the results of
   *     the returned future.