How can components in Angular 2 be added to a page dynamically by their name from an API?

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To add components dynamically to a page in Angular 2, you can use the ComponentFactoryResolver class. Here are the steps to do this:

1. Import the ComponentFactoryResolver class from '@angular/core'.

import { ComponentFactoryResolver } from '@angular/core';

1. Inject the ComponentFactoryResolver into your component constructor.

constructor(private componentFactoryResolver: ComponentFactoryResolver) { }

1. Define a ViewChild property for the container where you want to add the dynamic component. For example, if you want to add the dynamic component to a
   element with a #container reference:

@ViewChild('container', { read: ViewContainerRef }) container;

1. Retrieve the component type from the API response. For example, if the component name is returned in a "componentName" field of the API response:

const componentType = this.getComponentType(componentName);

1. Use the ComponentFactoryResolver to create a new instance of the component factory for the component type.

const componentFactory = this.componentFactoryResolver.resolveComponentFactory(componentType);

1. Use the container property to create a new instance of the component in the container.

const componentRef = this.container.createComponent(componentFactory);

1. Set any inputs or outputs on the component instance as needed before it is rendered.

componentRef.instance.inputProperty = ...;
componentRef.instance.outputEvent.subscribe(...);

Here is an example implementation of these steps in a component:

import { Component, ComponentFactoryResolver, ViewChild, ViewContainerRef } from '@angular/core';
import { Api } from './api.service';
import { DynamicComponent } from './dynamic.component';

@Component({
  selector: 'app-root',
  template: `
    <div #container></div>
  `
})
export class AppComponent {
  @ViewChild('container', { read: ViewContainerRef }) container;

  constructor(private api: Api, private componentFactoryResolver: ComponentFactoryResolver) { }

  ngOnInit() {
    this.api.getComponentName().subscribe(componentName => {
      const componentType = this.getComponentType(componentName);
      const componentFactory = this.componentFactoryResolver.resolveComponentFactory(componentType);
      const componentRef = this.container.createComponent(componentFactory);
      componentRef.instance.inputProperty = ...;
      componentRef.instance.outputEvent.subscribe(...);
    });
  }

  private getComponentType(componentName: string) {
    switch (componentName) {
      case 'DynamicComponent': return DynamicComponent;
      // add other cases for other dynamic components
      default: throw new Error(`Invalid component type: ${componentName}`);
    }
  }
}