React: trigger onChange if input value is changing by state?

Edit: I don’t want to call handleChange only if the button has been clicked. It has nothing to do with handleClick. I gave an example in the @shubhakhatri answer’s comment.

I want to change the input value according to state, the value is changing but it doesn’t trigger handleChange() method. How can I trigger handleChange() method ?

class App extends React.Component {
  constructor(props) {
    super(props)
    this.state = {
    value: 'random text'
    }
  }
  handleChange (e) {
    console.log('handle change called')
  }
  handleClick () {
    this.setState({value: 'another random text'})
  }
  render () {
    return (
      <div>
        <input value={this.state.value} onChange={this.handleChange}/>
        <button onClick={this.handleClick.bind(this)}>Change Input</button>
      </div>
    )
  }
}

ReactDOM.render(<App />,  document.getElementById('app'))

Here is the codepen link: http://codepen.io/madhurgarg71/pen/qrbLjp