Craig Claiborne's Pasta con Asparagi

INGREDIENTS

• 1 tablespoon finely chopped fresh basil
• 2 cloves garlic
• 1/2 cup grated parmesan
• 3 tablespoons butter
• 2 1/2 tablespoons olive oil
• 2 eggs, plus one yolk, beaten well with a fork
• 3/4 pounds penne, rigatoni, or other tubular pasta
• Salt and freshly ground pepper
• 1 tablespoon finely chopped fresh parsley
• 1 1/2 pound fresh asparagus
• 2 cups canned Italian plum tomatoes, put through a sieve or grated coarsely