feat(ivy): input type coercion for template type-checking (#33243)

Often the types of an `@Input`'s field don't fully reflect the types of
assignable values. This can happen when an input has a getter/setter pair
where the getter always returns a narrow type, and the setter coerces a
wider value down to the narrow type.

For example, you could imagine an input of the form:

```typescript
@Input() get value(): string {
  return this._value;
}

set value(v: {toString(): string}) {
  this._value = v.toString();
}
```

Here, the getter always returns a `string`, but the setter accepts any value
that can be `toString()`'d, and coerces it to a string.

Unfortunately TypeScript does not actually support this syntax, and so
Angular users are forced to type their setters as narrowly as the getters,
even though at runtime the coercion works just fine.

To support these kinds of patterns (e.g. as used by Material), this commit
adds a compiler feature called "input coercion". When a binding is made to
the 'value' input of a directive like MatInput, the compiler will look for a
static function with the name ngCoerceInput_value. If such a function is
found, the type-checking expression for the input will be wrapped in a call
to the function, allowing for the expression of a type conversion between
the binding expression and the value being written to the input's field.

To solve the case above, for example, MatInput might write:

```typescript
class MatInput {
  // rest of the directive...

  static ngCoerceInput_value(value: {toString(): string}): string {
    return null!;
  }
}
```

FW-1475 #resolve

PR Close #33243

packages/compiler-cli/test/ngtsc/template_typecheck_spec.ts

@@ -406,6 +406,77 @@ export declare class CommonModule {
       expect(diags[1].length).toEqual(15);
     });
 
+    describe('input coercion', () => {
+      beforeEach(() => {
+        env.tsconfig({
+          'fullTemplateTypeCheck': true,
+        });
+        env.write('node_modules/@angular/material/index.d.ts', `
+        import * as i0 from '@angular/core';
+        
+        export declare class MatInput {
+          value: string;
+          static ɵdir: i0.ɵɵDirectiveDefWithMeta<MatInput, '[matInput]', never, {'value': 'value'}, {}, never>;
+          static ngCoerceInput_value(v: string|number): string;
+        }
+        
+        export declare class MatInputModule {
+          static ɵmod: i0.ɵɵNgModuleDefWithMeta<MatInputModule, [typeof MatInput], never, [typeof MatInput]>;
+        }
+        `);
+      });
+
+      it('should coerce an input using a coercion function if provided', () => {
+        env.write('test.ts', `
+          import {Component, NgModule} from '@angular/core';
+          import {MatInputModule} from '@angular/material';
+
+          @Component({
+            selector: 'blah',
+            template: '<input matInput [value]="someNumber">',
+          })
+          export class FooCmp {
+            someNumber = 3;
+          }
+
+          @NgModule({
+            declarations: [FooCmp],
+            imports: [MatInputModule],
+          })
+          export class FooModule {}
+        `);
+        const diags = env.driveDiagnostics();
+        expect(diags.length).toBe(0);
+      });
+
+      it('should give an error if the binding expression type is not accepted by the coercion function',
+         () => {
+           env.write('test.ts', `
+            import {Component, NgModule} from '@angular/core';
+            import {MatInputModule} from '@angular/material';
+
+            @Component({
+              selector: 'blah',
+              template: '<input matInput [value]="invalidType">',
+            })
+            export class FooCmp {
+              invalidType = true;
+            }
+
+            @NgModule({
+              declarations: [FooCmp],
+              imports: [MatInputModule],
+            })
+            export class FooModule {}
+        `);
+           const diags = env.driveDiagnostics();
+           expect(diags.length).toBe(1);
+           expect(diags[0].messageText)
+               .toBe(
+                   `Argument of type 'boolean' is not assignable to parameter of type 'string | number'.`);
+         });
+    });
+
     describe('legacy schema checking with the DOM schema', () => {
       beforeEach(
           () => { env.tsconfig({ivyTemplateTypeCheck: true, fullTemplateTypeCheck: false}); });