# EXAMPLE - Comparison Functions2

This example demonstrates functions for comparing the relative values of two functions.

**Functions:**

Item | Description |
---|---|

LESSTHANEQUAL Function | Returns |

LESSTHAN Function | Returns |

GREATERTHANEQUAL Function | Returns |

GREATERTHAN Function | Returns |

In the town of Circleville, citizens are allowed to maintain a single crop circle in their backyard, as long as it confirms to the town regulations. Below is some data on the size of crop circles in town, with a separate entry for each home. Limits are displayed in the adjacent columns, with the`inclusive`

columns indicating whether the minimum or maximum values are inclusive.

**Tipp**

As part of this exercise, you can see how to you can extend your recipe to perform some simple financial analysis of the data.

**Source:**

Location | Radius_ft | minRadius_ft | minInclusive | maxRadius_ft | maxInclusive |
---|---|---|---|---|---|

House1 | 55.5 | 10 | Y | 25 | N |

House2 | 12 | 10 | Y | 25 | N |

House3 | 14.25 | 10 | Y | 25 | N |

House4 | 3.5 | 10 | Y | 25 | N |

House5 | 27 | 10 | Y | 25 | N |

**Transformation:**

After the data is loaded into the Transformer page, you can begin comparing column values:

Transformation Name | |
---|---|

Parameter: Formula type | Single row formula |

Parameter: Formula | LESSTHANEQUAL(Radius_ft,minRadius_ft) |

Parameter: New column name | 'tooSmall' |

While accurate, the above transform does not account for the `minInclusive`

value, which may be changed as part of your steps. Instead, you can delete the previous transform and use the following, which factors in the other column:

Transformation Name | |
---|---|

Parameter: Formula type | Single row formula |

Parameter: Formula | IF(minInclusive == 'Y',LESSTHANEQUAL(Radius_ft,minRadius_ft),LESSTHAN(Radius_ft,minRadius_ft)) |

Parameter: New column name | 'tooSmall' |

In this case, the `IF`

function tests whether the minimum value is inclusive (values of `10`

are allowed). If so, the `LESSTHANEQUAL`

function is applied. Otherwise, the `LESSTHAN`

function is applied. For the maximum limit, the following step applies:

Transformation Name | |
---|---|

Parameter: Formula type | Single row formula |

Parameter: Formula | IF(maxInclusive == 'Y', GREATERTHANEQUAL(Radius_ft,maxRadius_ft),GREATERTHAN(Radius_ft,maxRadius_ft)) |

Parameter: New column name | 'tooBig' |

Now, you can do some analysis of this data. First, you can insert a column containing the amount of the fine per foot above the maximum or below the minimum. Before the first `derive`

command, insert the following, which is the fine (`$15.00`

) for each foot above or below the limits:

Transformation Name | |
---|---|

Parameter: Formula type | Single row formula |

Parameter: Formula | 15 |

Parameter: New column name | 'fineDollarsPerFt' |

At the end of the recipe, add the following new line, which calculates the fine for crop circles that are too small:

Transformation Name | |
---|---|

Parameter: Formula type | Single row formula |

Parameter: Formula | IF(tooSmall == 'true', (minRadius_ft - Radius_ft) * fineDollarsPerFt, 0.0) |

Parameter: New column name | 'fine_Dollars' |

The above captures the too-small violations. To also capture the too-big violations, change the above to the following:

Transformation Name | |
---|---|

Parameter: Formula type | Single row formula |

Parameter: Formula | IF(tooSmall == 'true', (minRadius_ft - Radius_ft) * fineDollarsPerFt, if(tooBig == 'true', (Radius_ft - maxRadius_ft) * fineDollarsPerFt, '0.0')) |

Parameter: New column name | 'fine_Dollars' |

In place of the original "false" expression (`0.0`

), the above adds the test for the too-big values, so that all fines are included in a single column. You can reformat the `fine_Dollars`

column to be in dollar format:

Transformation Name | |
---|---|

Parameter: Columns | fine_Dollars |

Parameter: Formula | NUMFORMAT(fine_Dollars, '$###.00') |

**Results:**

After you delete the columns used in the calculation and move the remaining ones, you should end up with a dataset similar to the following:

Location | fineDollarsPerFt | Radius_ft | minRadius_ft | minInclusive | maxRadius_ft | maxInclusive | fineDollars |
---|---|---|---|---|---|---|---|

House1 | 15 | 55.5 | 10 | Y | 25 | N | $457.50 |

House2 | 15 | 12 | 10 | Y | 25 | N | $0.00 |

House3 | 15 | 14.25 | 10 | Y | 25 | N | $0.00 |

House4 | 15 | 3.5 | 10 | Y | 25 | N | $97.50 |

House5 | 15 | 27 | 10 | Y | 25 | N | $30.00 |

Now that you have created all of the computations for generating these values, you can change values for`minRadius_ft`

,`maxRadius_ft`

, and`fineDollarsPerFt`

to analyze the resulting fine revenue. Before or after the transform where you set the value for `fineDollarsPerFt`

, you can insert something like the following:

Transformation Name | |
---|---|

Parameter: Columns | minRadius_ft |

Parameter: Formula | '12.5' |

After the step is added, select the last line in the recipe. Then, you can see how the values in the `fineDollars`

column have been updated.