Mini$-$Project $1$

Mini$-$Project $1$ is composed of two problems with $20$ points total. The following are the assessment tests assigned to each problem:

Problem $1$Assessment Tests $1$ to $3$

Problem $2$Assessment Tests $4$ to $6$

Problem $1$

Complete the function MiniProject$1,$ which$$takes one positive integer $($endValue$)$ as an input argument. Within the function, generate an array of odd integers from $1$ to endValue, and array of even numbers between $1$ and endValue,$$and an array with decreasing numbers from endValue$$to $1,$ with a decrease of $1$ per step.

The input Argument

endValue: a positive integer.

The output Arguments:

oddNumbers: an array of odd numbers between $1($inclusive$)$ and endValue$$from smallest to largest

evenNumbers: an array of even numbers between $2($inclusive$)$ and endValue$$from smallest to largest

reverseNumbers: an array of numbers decreasing by $1$ from endValue$$to $1.$

$($Note: while the output arrays are double$-$precision numbers, the input is an integer.$)$

Restrictions: Do not use loops, sort or if else statements.

Hints: $$Use colon operator to construct the arrays.

For example, with the function ReturnNumbers,$$given the integer:

Inputs:

endValue $=13$

calling the function:

$[$oddNumbers$,$ evenNumbers, reverseNumbers$]=$ ReturnNumbers$($endValue$)$

Outputs:

oddNumbers $=$

$135791113$

evenNumbers $=$

$24681012$

reverseNumbers $=$

$13121110987654321$

The oddNumbers array contains odd numbers in the range $1$ to $13.$

The evenNumbers array contains even numbers in the range $2$ to $12.$

The reverseNumbers array contains numbers from $13$ to $1$ in decreasing order.

Problem $2$

Complete the function MiniProject$1.$For a given array of numbers, return the numbers within the range $-2<=$ x $<6,$ and also return the positions of the selected numbers within the array.

The input argument

arrayNumbers:$$is a $1$D double$-$precision row array.

The output arguments:

numbers: a $1$D row array containing the numbers within the range $-2<=$ x $<6.$

indices: a $1$D row array containing the positions of the selected values used to produce the numbers$$output array.

Restrictions: The solution must use logical indexing. Do not use loops or if else statements.

Hints: As loops cannot be used, use the internal function size on the input array $($arrayNumbers$),$ and use logical indexing to find the location of the identified numbers in the input array. To find the positions you could create an array of integers from $1$ to the numbers of elements in the input array. Then, apply the logical indexing array on this array.

Example$$:

Inputs:

arrayNumbers $=$

$-2819339$

calling the function:

$[$numbers$,$indexes$]=$ FindNumbers$($arrayNumbers$)$

Outputs:

numbers $=14$ double

$-2133$

indices $=14$ double

$1356$

The array indices$$indicates that the $-2$ was in the $1$st Position, the $1$ was in the $3$rd Position, and the $3\text{'}$s were in the $5$th and $6$th positions.