RangeMap<Integer, Integer> sub1 = rangeMap.subRangeMap(Range.closed(5, 11));
    assertEquals(
        ImmutableMap.of(Range.closedOpen(5, 7), 1, Range.closed(9, 10), 2), sub1.asMapOfRanges());
    RangeMap<Integer, Integer> sub2 = sub1.subRangeMap(Range.open(6, 15));
    assertEquals(
        ImmutableMap.of(Range.open(6, 7), 1, Range.closed(9, 10), 2), sub2.asMapOfRanges());
  }

	SETCC	AX
	SETCC	foo+4(SB)

// LTYPE2 rimnon	{ outcode(int($1), &$2); }
	DIVB	AX
	DIVB	foo+4(SB)
	PUSHL	$foo+4(SB)
	POPL		AX

// LTYPE3 rimrem	{ outcode(int($1), &$2); }
	SUBB	$1, AX
	SUBB	$1, foo+4(SB)
	SUBB	BX, AX
	SUBB	BX, foo+4(SB)

// LTYPE4 remrim	{ outcode(int($1), &$2); }
	CMPB	AX, $1
	CMPB	foo+4(SB), $4
	CMPB	BX, AX
	CMPB	foo+4(SB), BX

// LTYPER nonrel	{ outcode(int($1), &$2); }
label:

Sebastián Ramírez <******@****.***> 1728247014 +0200

<img src="/img/tutorial/sub-applications/image01.png">

و سپس اسناد زیر برنامه را در آدرس <a href="http://127.0.0.1:8000/subapi/docs" class="external-link" target="_blank">http://127.0.0.1:8000/subapi/docs</a>. باز کنید.

اسناد API خودکار برای زیر برنامه را خواهید دید، که فقط شامل path operations خود می شود، همه در زیر مسیر `/subapi` قرار دارند:

<img src="/img/tutorial/sub-applications/image02.png">

# Sub-dependencies

You can create dependencies that have **sub-dependencies**.

They can be as **deep** as you need them to be.

**FastAPI** will take care of solving them.

## First dependency "dependable"

You could create a first dependency ("dependable") like:

//// tab | Python 3.10+

```Python hl_lines="8-9"
{!> ../../docs_src/dependencies/tutorial005_an_py310.py!}
```

////

//// tab | Python 3.9+

下图显示的是主应用 API 文档，只包括其自有的*路径操作*。

<img src="/img/tutorial/sub-applications/image01.png">

然后查看子应用文档 <a href="http://127.0.0.1:8000/subapi/docs" class="external-link" target="_blank">http://127.0.0.1:8000/subapi/docs。</a>

下图显示的是子应用的 API 文档，也是只包括其自有的*路径操作*，所有这些路径操作都在 `/subapi` 子路径前缀下。

<img src="/img/tutorial/sub-applications/image02.png">

两个用户界面都可以正常运行，因为浏览器能够与每个指定的应用或子应用会话。

### 技术细节：`root_path`

	}

	var sub1 []User
	// limit < batchSize
	if result := DB.Limit(5).Where("name = ?", users[0].Name).FindInBatches(&sub1, 10, func(tx *gorm.DB, batch int) error {
		return nil
	}); result.Error != nil || result.RowsAffected != 5 {
		t.Errorf("Failed to batch find, got error %v, rows affected: %v", result.Error, result.RowsAffected)
	}

	var sub2 []User
	// only offset

	NEGQ	foo+4(SB)

// LTYPE2 rimnon	{ outcode($1, &$2); }
	INT	$4
	DIVB	R11
	DIVB	4(R11)
	DIVB	foo+4(SB)

// LTYPE3 rimrem	{ outcode($1, &$2); }
	SUBQ $4, DI
	SUBQ R11, DI
	SUBQ 4(R11), DI
	SUBQ foo+4(SB), DI
	SUBQ $4, 8(R12)
	SUBQ R11, 8(R12)
	SUBQ R11, foo+4(SB)

// LTYPE4 remrim	{ outcode($1, &$2); }
	CMPB	CX, $4

// LTYPER nonrel	{ outcode($1, &$2); }
label:
	JB	-4(PC) // JCS -4(PC)

func (f *fakeNs) Close() error {
	f.closed.Store(true)
	return nil
}

func fakeFs() fs.FS {
	subFs, err := fs.Sub(fakeProc, "testdata")
	if err != nil {
		panic(err)
	}
	subFs, err = fs.Sub(subFs, "cgroupns")
	if err != nil {
		panic(err)
	}
	return &fakeFsWithFakeFds{ReadDirFS: subFs.(fs.ReadDirFS)}
}

type fakeFsWithFakeFds struct {
	fs.ReadDirFS
}
type fakeFileFakeFds struct {

// of default zeros grads is handled by the `DefaultGradientFunction` registered
// for each op.
// TODO(srbs): We need to define `ZerosLike` here to keep the compiler happy.
// Figure out a way to avoid this.
// TODO(srbs): Should ZerosLike check-fail instead of returning nullptr?
class TapeTensor {
 public:
  explicit TapeTensor(AbstractTensorHandle* handle);