Kata

Previous Cartesian neighbors kata

In previous kata we have been searching for all the neighboring points in a Cartesian coordinate system. As we know each point in a coordinate system has eight neighboring points when we search it by range equal to 1, but now we will change range by third argument of our function (range is always greater than zero). For example if range = 2, count of neighboring points = 24. In this kata grid step is the same (= 1).

It is necessary to write a function that returns array of unique distances between given point and all neighboring points. You can round up the distance to 10 decimal places (as shown in the example). Distances inside list don't have to been sorted (any order is valid).

For Example:

cartesianNeighborsDistance(3, 2, 1) -> {1.4142135624, 1.0}
cartesianNeighborsDistance(0, 0, 2) -> {1.0, 1.4142135624, 2.0, 2.2360679775, 2.8284271247}

cartesianNeighborsDistance(3, 2, 1) -> {1.4142135624, 1.0}
cartesianNeighborsDistance(0, 0, 2) -> {1.0, 1.4142135624, 2.0, 2.2360679775, 2.8284271247}

// please remember the length of the array in this variable
int array_size = 0;
cartesianNeighborsDistance(3, 2, 1, &array_size) -> {1.4142135624, 1.0}
cartesianNeighborsDistance(0, 0, 2, &array_size) -> {1.0, 1.4142135624, 2.0, 2.2360679775, 2.8284271247}

cartesianNeighborsDistance(3, 2, 1) -> {1.4142135624, 1.0}
cartesianNeighborsDistance(0, 0, 2) -> {1.0, 1.4142135624, 2.0, 2.2360679775, 2.8284271247}

CartesianNeighborsDistance(3, 2, 1) -> {1.4142135624, 1.0}
CartesianNeighborsDistance(0, 0, 2) -> {1.0, 1.4142135624, 2.0, 2.2360679775, 2.8284271247}

cartesianNeighborsDistance(3, 2, 1) -> [1.4142135624, 1.0]
cartesianNeighborsDistance(0, 0, 2) -> [1.0, 1.4142135624, 2.0, 2.2360679775, 2.8284271247]

cartesianNeighborsDistance(3, 2, 1) -> [1.4142135624, 1.0]
cartesianNeighborsDistance(0, 0, 2) -> [1.0, 1.4142135624, 2.0, 2.2360679775, 2.8284271247]

cartesian_neighbors_distance(3, 2, 1) -> [1.4142135624, 1.0]
cartesian_neighbors_distance(0, 0, 2) -> [1.0, 1.4142135624, 2.0, 2.2360679775, 2.8284271247]