Write a program that reads 10 pairs of Cartesian coordinates from a file called "points.txt" and sorts them by increasing x-values, decreasing y-values, and increasing distance from the origin. Use only one sorting routine. Use an enumerated data type to keep track of the field on which the list is being sorted. The number of pairs should be in a global constant c++

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JUST ONLY USE <iostream>. Not use class, not use switch case.

Write a program that reads 10 pairs of Cartesian coordinates from a file called "points.txt" and sorts them by increasing x-values, decreasing y-values, and increasing distance from the origin. Use only one sorting routine. Use an enumerated data type to keep track of the field on which the list is being sorted. The number of pairs should be in a global constant c++

**Code Explanation**: 

- **Enum Declaration**: `enum fieldType {X, Y, DISTANCE};`
  - This creates an enumeration named `fieldType` with three possible values: `X`, `Y`, and `DISTANCE`.

- **Struct Declaration**: 
  ```c
  struct pointType {
      double x;
      double y;
      double dist;
  }
  ```
  - This defines a structure `pointType` with three double-precision floating-point members: `x`, `y`, and `dist`.

**Visual Elements**:

- **Illustration**: 
  - There is a cartoon goat on the left side asking, "How far is the point (x, y) from the origin?"
  - On the right, a figure wearing a wizard's hat replies, "It's the square root of \(x^2 + y^2\)."

**Explanation**:

- The diagram is guiding you to use a `struct` to manage points and their distances from the origin (0,0) in a Cartesian coordinate system.
- You will read `x` and `y` coordinates from a file, and use the Pythagorean theorem (\( \text{dist} = \sqrt{x^2 + y^2} \)) to calculate the distance from the origin.

This explanation will aid in understanding how to organize and compute data using structures in programming, and how mathematical concepts like the Pythagorean theorem apply to computing distances in geometry.
Transcribed Image Text:**Code Explanation**: - **Enum Declaration**: `enum fieldType {X, Y, DISTANCE};` - This creates an enumeration named `fieldType` with three possible values: `X`, `Y`, and `DISTANCE`. - **Struct Declaration**: ```c struct pointType { double x; double y; double dist; } ``` - This defines a structure `pointType` with three double-precision floating-point members: `x`, `y`, and `dist`. **Visual Elements**: - **Illustration**: - There is a cartoon goat on the left side asking, "How far is the point (x, y) from the origin?" - On the right, a figure wearing a wizard's hat replies, "It's the square root of \(x^2 + y^2\)." **Explanation**: - The diagram is guiding you to use a `struct` to manage points and their distances from the origin (0,0) in a Cartesian coordinate system. - You will read `x` and `y` coordinates from a file, and use the Pythagorean theorem (\( \text{dist} = \sqrt{x^2 + y^2} \)) to calculate the distance from the origin. This explanation will aid in understanding how to organize and compute data using structures in programming, and how mathematical concepts like the Pythagorean theorem apply to computing distances in geometry.
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