Extended function set

Ottomagus suggested some additional functions to add to my extended function set that is used by Smooth Alterations, Ducks Switch and Lucy Goosey Switch. The coloring formula Smooth Alterations is the simplest test bed so I started there. After testing and debugging I have uploaded the latest version of Smooth Alterations to the database. Lucy Goosey will be next. Here is a quick example with the cosc() function:

Fractal2 {
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  GEALNzcm5w5GVjBTcY+XmPLLzxccKK/+ooV5Z7Z1uW0mlLzapsdtuwjc8RqxiK8IIGaNzZR5
  /SJzuDbkUn7v2c7qlw/FrznPLYcw5Es2xUSU+dYyr7MqOZdemSjJM3RUB4XB11qqRiOujpxW
  bmzglWN2QlO0Rqd+MBWrZydR3BSpG0ybBg4dSPdaUGAMOoWgPw86BHvMTTNkWK5VkqpJrhxp
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  i0iO+2v8rvfX1jYZNlv1ocP0xZ4qofyjOYIsFvVtjKpGGJkemos/1zRfkeiS+G1AuwVz6f4j
  gYDc5jsS8+J4F/JICCsuYspgh2YlbiXsujaKKkBGrSHCwVwprgYikqJhKm5vUko0a0NLX85y
  bXuYV5Y1Oq1hEq6LGrON06sFz4qOXoVq/vLaMXtfgxf/milTtR7tBt6ERPfUDv8Q4oNfGTaZ
  104IpfGoBwIVS68ZgrnqizkUsZSjNhnfqr+JhS5a/KHmIw+hQbf72bVT0cqXriMtHs/Y/uKi
  irMwA5EM1MDMoMU9Yo2QcxXNudWaDzAlGf+YIUB7Qf5/sg+NH2ORq89xlWLXUm6jLURHotmC
  pf/OpBya6q3Rjr8GEBYTlvWOQUIRi+KnPQ25NVpwxQmZIW7r09JC0envYUQ1W0NFexDZnERU
  WSikV+0xI+C5IIXMMkKOrONd6aNUbLyPvki2dALcJ8T4YhrLYHo1Z/4UlMPFmfLssTkkNdE8
  W74sZzz0DuOD4waxLlh1l/9jPU9sBrfqFrp3zxu8LDZ6mypGATLar3P+FVX1NQoPbZDExp9u
  NBDC92nXs/N/req+vqwj5XFzvbiK1swveB/vMUqiU6C2GUI83AgyJKhQJjZXaDG6gD89Rv28
  rD83z6E7GEtPy06IDmio5yIaqC/C9xUop1Iw8U3L7Pk/A+iAaG8FJPr05D0f6rNg7BGNK22R
  THDwconNViFPdbkuar50OmExwlvQJyOVh3LTWIpr8EIZ2vanBfMlBAYFHbuAJefoNNWal1Fu
  6IlatYJ6TTOH7Hb3299MFYSNDWiFu1Ju4OclFD+MgDArjNeb+cx6Vb20L1PH23QuuYVxmyye
  FriV4ouPtu8PL6V8HnRUuGupLWrGGTgfnC5pK5qSgf/H8T8sVC==
}

Thank you Ron, Liesbeth