Prepare the pasta dough according to the recipe and roll it out to the fourth from last thickness on a pasta rolling machine. Cut into 1/4-inch thick ribbons and set aside.
In a 12 to 14-inch skillet, heat the olive oil over high heat until smoking. Add the garlic and mushrooms and saute over high heat until the mushrooms are browned. In the bowl of a food processor, combine the sauteed mushrooms and garlic, the olives and the parsley and puree. Season with salt and pepper, to taste.
Bring 6 quarts of water to a boil and add 2 tablespoons salt.
In the same saute pan, heat the butter over high heat until it foams and subsides. Add the olive puree and chile flakes and cook 5 minutes. Season to taste.
Cook the pasta in the boiling water 1 or 2 minutes. Drain and toss in the saute pan with the sauce. Divide evenly among 4 warmed pasta bowls, grate Parmigiano-Reggiano over, and serve immediately.
Mound 3 1/2 cups of the flour in the center of a large wooden cutting board. Make a well in the middle of the flour and add the eggs and the olive oil. Using a fork, beat together the eggs and oil and begin to incorporate the flour, starting with the inner rim of the well.
As you expand the well, keep pushing the flour up from the base of the mound to retain the well shape. The dough will come together when half of the flour is incorporated.
Start kneading the dough with both hands, using the palms of your hands. Once you have a cohesive mass, remove the dough from the board and scrape up and discard any leftover bits. Lightly reflour the board and continue kneading for six more minutes. The dough should be elastic and a little sticky. Wrap the dough in plastic and allow to rest for 30 minutes at room temperature. Roll or shape as desired.
Recipe copyright 2000, Mario Batali. All Rights Reserved.