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| -## Put comments here that give an overall description of what your |
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| -## functions do |
| 1 | +# WEEK3 ~ ASSIGNMENT |
| 2 | +# by John Barker |
| 3 | +# cachematrix.R |
| 4 | +# Pair of functions which cache the inverse of a matrix. |
| 5 | +# example usage: |
| 6 | +# cacheSolve(makeCacheMatrix(x = someInvertibleMatrix)) |
| 7 | +# |
| 8 | +# The first function, makeCacheMatrix creates a special "matrix" object, makes a function to |
| 9 | +# set - the value of the matrix & reset cache |
| 10 | +# get - the value of the matrix object |
| 11 | +# |
| 12 | +# set - the value of the matrix that is the inverse of matrix x |
| 13 | +# get - ditto |
| 14 | +# |
| 15 | +makeCacheMatrix <- function(x = matrix()) { |
3 | 16 |
|
4 |
| -## Write a short comment describing this function |
| 17 | + # variable to store the inverse |
| 18 | + i <- NULL |
5 | 19 |
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6 |
| -makeCacheMatrix <- function(x = matrix()) { |
7 | 20 |
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8 |
| -} |
| 21 | + # function to invalidate the cache. |
| 22 | + # It sets x to new value y. It also resets the stored inverse: i. |
| 23 | + set <- function(y) { |
| 24 | + |
| 25 | + #both lines make use of "Superassignment" operator: |
| 26 | + x <<- y #looks outside the current scope starting with the parents environment. |
| 27 | + i <<- NULL #looks outside the current scope starting with the parents environment. |
| 28 | + } |
| 29 | + |
| 30 | + # simple getting of x. |
| 31 | + get <- function() x |
9 | 32 |
|
| 33 | + # function that sets i (again, looks in another environment) to the "solved" passed |
| 34 | + setinverse <- function(solved) i <<- solved |
| 35 | + |
| 36 | + # returns the inverse |
| 37 | + getinverse <- function() i |
| 38 | + |
| 39 | + # returns a list of functions: |
| 40 | + # it is a holder for the functions to get and set the values, |
| 41 | + # that are used by the partner function below, cacheSolve(). |
| 42 | + list(set = set, get = get, setinverse = setinverse, getinverse = getinverse) |
| 43 | + |
| 44 | + |
| 45 | + |
| 46 | +} |
10 | 47 |
|
11 |
| -## Write a short comment describing this function |
12 | 48 |
|
| 49 | +# computes the inverse of the "matrix" inside the obj. returned by makeCacheMatrix() |
| 50 | +# (i.e. the list of functions). |
| 51 | +# |
| 52 | +# If the inverse has already been calculated (and the matrix has not changed), |
| 53 | +# then cachesolve should retrieve the inverse from the cache. |
| 54 | +# |
| 55 | +# |
| 56 | +# NB assumes matrix supplied is invertible. |
13 | 57 | cacheSolve <- function(x, ...) {
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14 |
| - ## Return a matrix that is the inverse of 'x' |
| 58 | + |
| 59 | + |
| 60 | + |
| 61 | + # Return any cached matrix we may have that is the inverse of 'x', |
| 62 | + # by referencing the getinverse() function our partner function gave us. |
| 63 | + # |
| 64 | + i <- x$getinverse() |
| 65 | + |
| 66 | + # if i was obtained with a value, we can just exit here |
| 67 | + if(!is.null(i)) { |
| 68 | + message("getting cached data") |
| 69 | + return(i) #exit here |
| 70 | + } |
| 71 | + |
| 72 | + # if no cache exists, we use the passed matrix to generate the inverse: |
| 73 | + data <- x$get() |
| 74 | + |
| 75 | + # R-function for obtaining the inverse of a matrix is solve(), assign this to i. |
| 76 | + # |
| 77 | + i <- solve(data, ...) |
| 78 | + |
| 79 | + |
| 80 | + # we need to cache this before exiting: |
| 81 | + x$setinverse(i) |
| 82 | + |
| 83 | + # return the inverse value: |
| 84 | + return(i) |
| 85 | + |
| 86 | + |
15 | 87 | }
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