On Oct 29, 2010, at 11:16 PM, Dennis Murphy wrote:

Hi:

x <- matrix(20:35, ncol = 1)
u <- c(1, 4, 5, 6, 11)      # 'x values'
m <- c(1, 3, 1, 1, 0.5)

# Function to compute the inner product of the multipliers with the
extracted
# elements of x determined by u
f <- function(mat, inputs, mults) crossprod(mat[inputs], mults)
f(x, u, mults = c(1, 3, 1, 1, 0.5))
    [,1]
[1,]  153
20 + 23 * 3 + 24 + 25 + 30 * 0.5
[1] 153

The function is flexible enough to allow you to play with the input matrix (although a vector would also work), the 'observation vector' inputs and the set of multipliers. Here's one way (not necessarily the most efficient):

uv <- matrix(sample(1:15, 25, replace = TRUE), ncol = 5)
uv # like an X matrix, where each row provides the input values of the
vars
    [,1] [,2] [,3] [,4] [,5]
[1,]   12    8   11   10   15
[2,]   15   11   14   14    8
[3,]    4    8    4   10   12
[4,]   10    5    2    1    7
[5,]   11    4    9    1   11

# Apply the function f to each row of uv:
apply(uv, 1, function(y) f(x, y, mults = c(1, 3, 1, 1, 0.5)))
[1] 188.0 203.5 171.5 155.0 162.0

The direct matrix version:
crossprod(t(matrix(x[uv], ncol = 5)), c(1, 3, 1, 1, 0.5))
     [,1]
[1,] 188.0
[2,] 203.5
[3,] 171.5
[4,] 155.0
[5,] 162.0

Notice that the apply() call returns a vector whereas crossprod() returns a
matrix.
x[uv] selects the x values associated with the indices in uv and returns a vector in column-major order. The crossprod() call transposes the reshaped x[uv] and then 'matrix' multiplies it by the vector c(1, 3, 1, 1, 0.5).

HTH,
Dennis

On Fri, Oct 29, 2010 at 3:54 PM, M.Ribeiro <mresende...@yahoo.com.br> wrote:


So, I am having a tricky reference file to extract information from.

The format of the file is

x   1 + 4 * 3 + 5 + 6 + 11 * 0.5

I saw the beginning of this task as parsing to extract the digits from a character string (possibly decimal digits in the case of the third and seventh positions) delimited by <space>+<space> and <space>*<space>:

library(gsubfn)
> x <-  "1 + 4 * 3 + 5 + 6 + 11 * 0.5"

 xin <- readLines(textConnection(x))
xp <- strapply(xin, "^(\\d+) \\+ (\\d+) \\* (\\d+\\.*\\d*) \\+ (\\d +) \\+ (\\d+) \\+ (\\d+) \\* (\\d+\\.*\\d*)", c)
 sapply(xp, as.numeric)
     [,1]
[1,]  1.0
[2,]  4.0
[3,]  3.0
[4,]  5.0
[5,]  6.0
[6,] 11.0
[7,]  0.5

--
David


So, the elements that are not being multiplied (1, 5 and 6) and the
elements
before the multiplication sign (4 and 11) means actually the reference for
the row in a matrix where I need to extract the element from.

The numbers after the multiplication sign are regular numbers
Ex:

x<-matrix(20:35)
x
    [,1]
[1,]   20
[2,]   21
[3,]   22
[4,]   23
[5,]   24
[6,]   25
[7,]   26
[8,]   27
[9,]   28
[10,]   29
[11,]   30
[12,]   31
[13,]   32
[14,]   33
[15,]   34
[16,]   35

I would like to read the rows 1,4,5,6 and 11 and sum then. However the
numbers in the elements row 4 and 11 are multiplied by 3 and 0.5

So it would be
20 + 23 * 3 + 24 + 25 + 30 * 0.5.

And I have this format in different files so I can't do all by hand.
Can anybody help me with a script that can differentiate this?
Thanks
--
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______________________________________________
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David Winsemius, MD
West Hartford, CT

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