broadcaster

Check or Set if an Array is a Broadcaster

Description

broadcaster() checks if an array or vector is marked as a "broadcaster".
bcr() is a short-hand alias for broadcaster().

broadcaster()<- (or bcr()<-) marks or un-marks the object as a "broadcaster".

mbroadcasters() marks or un-marks multiple objects in an environment as broadcaster.
mbroadcasters() may be more memory efficient for large arrays than broadcaster()<-, as mbroadcasters() calls class(x)<- directly in the given environment.

.couldb.broadcaster() is used internally to check if an object could become a broadcaster vector/array.

The broadcaster class attribute exists purely to overload the arithmetic, Boolean, bit-wise, and relational infix operators, to support broadcasting.
This makes mathematical expressions with multiple variables, where precedence may be important, far more convenient.
Like in the following calculation:
x / (y + z)

See broadcast_operators for more information.

Usage

broadcaster(x)

broadcaster(x) <- value

mbroadcasters(nms, value, env = NULL)

bcr(x)

bcr(x) <- value

Arguments

x object to check or mark.
Only S3 vectors and arrays are supported, and only up to 16 dimensions.
value set to TRUE to make an array a broadcaster, or FALSE to remove the broadcaster class attribute from an array.
nms a character vector of variable names.
env the environment where to look for the variable names specified in nms.
If NULL, the environment from which the function was called is used.

Value

For broadcaster():
TRUE if an array or vector is a broadcaster, or FALSE if it is not.

For broadcaster()<-:
Returns nothing, but marks (if right hand side is TRUE) or un-marks (if right hand side is FALSE) the object as a "broadcaster".

For mbroadcasters():
Returns nothing, but marks (if value is TRUE) or un-marks (if value is FALSE) the objects as broadcasters.
If value = TRUE, objects that cannot become a broadcaster or are already a broadcaster will be ignored.
If value = FALSE, objects that are not broadcasters (according to broadcaster()) will be ignored.

Note

The ‘broadcaster’ class will make arithmetic and relational operators operate with broadcasting.
Functions that rely on non-broadcasted functionality of these operators will produce unexpected results.
Thus functions like pmin() and pmax(), and some functions from the ‘tinyplot’ package, are not compatible with ‘broadcaster’ vectors/arrays.
Please ensure an object is not a ‘broadcaster’ before applying these functions on it.

See Also

broadcast_operators

Examples

library("broadcast")


# maths ====

x <- 1:10
y <- 1:10
dim(x) <- c(10, 1)
dim(y) <- c(1, 10)
broadcaster(x) <- TRUE
broadcaster(y) <- TRUE



x + y / x
#>            [,1]      [,2]      [,3]      [,4]      [,5]      [,6]      [,7]
#>  [1,]  2.000000  3.000000  4.000000  5.000000  6.000000  7.000000  8.000000
#>  [2,]  2.500000  3.000000  3.500000  4.000000  4.500000  5.000000  5.500000
#>  [3,]  3.333333  3.666667  4.000000  4.333333  4.666667  5.000000  5.333333
#>  [4,]  4.250000  4.500000  4.750000  5.000000  5.250000  5.500000  5.750000
#>  [5,]  5.200000  5.400000  5.600000  5.800000  6.000000  6.200000  6.400000
#>  [6,]  6.166667  6.333333  6.500000  6.666667  6.833333  7.000000  7.166667
#>  [7,]  7.142857  7.285714  7.428571  7.571429  7.714286  7.857143  8.000000
#>  [8,]  8.125000  8.250000  8.375000  8.500000  8.625000  8.750000  8.875000
#>  [9,]  9.111111  9.222222  9.333333  9.444444  9.555556  9.666667  9.777778
#> [10,] 10.100000 10.200000 10.300000 10.400000 10.500000 10.600000 10.700000
#>            [,8]      [,9]     [,10]
#>  [1,]  9.000000 10.000000 11.000000
#>  [2,]  6.000000  6.500000  7.000000
#>  [3,]  5.666667  6.000000  6.333333
#>  [4,]  6.000000  6.250000  6.500000
#>  [5,]  6.600000  6.800000  7.000000
#>  [6,]  7.333333  7.500000  7.666667
#>  [7,]  8.142857  8.285714  8.428571
#>  [8,]  9.000000  9.125000  9.250000
#>  [9,]  9.888889 10.000000 10.111111
#> [10,] 10.800000 10.900000 11.000000
#> broadcaster
(x + y) / x
#>           [,1]     [,2]     [,3]     [,4]     [,5]     [,6]     [,7]     [,8]
#>  [1,] 2.000000 3.000000 4.000000 5.000000 6.000000 7.000000 8.000000 9.000000
#>  [2,] 1.500000 2.000000 2.500000 3.000000 3.500000 4.000000 4.500000 5.000000
#>  [3,] 1.333333 1.666667 2.000000 2.333333 2.666667 3.000000 3.333333 3.666667
#>  [4,] 1.250000 1.500000 1.750000 2.000000 2.250000 2.500000 2.750000 3.000000
#>  [5,] 1.200000 1.400000 1.600000 1.800000 2.000000 2.200000 2.400000 2.600000
#>  [6,] 1.166667 1.333333 1.500000 1.666667 1.833333 2.000000 2.166667 2.333333
#>  [7,] 1.142857 1.285714 1.428571 1.571429 1.714286 1.857143 2.000000 2.142857
#>  [8,] 1.125000 1.250000 1.375000 1.500000 1.625000 1.750000 1.875000 2.000000
#>  [9,] 1.111111 1.222222 1.333333 1.444444 1.555556 1.666667 1.777778 1.888889
#> [10,] 1.100000 1.200000 1.300000 1.400000 1.500000 1.600000 1.700000 1.800000
#>            [,9]     [,10]
#>  [1,] 10.000000 11.000000
#>  [2,]  5.500000  6.000000
#>  [3,]  4.000000  4.333333
#>  [4,]  3.250000  3.500000
#>  [5,]  2.800000  3.000000
#>  [6,]  2.500000  2.666667
#>  [7,]  2.285714  2.428571
#>  [8,]  2.125000  2.250000
#>  [9,]  2.000000  2.111111
#> [10,]  1.900000  2.000000
#> broadcaster

(x + y) * x
#>       [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10]
#>  [1,]    2    3    4    5    6    7    8    9   10    11
#>  [2,]    6    8   10   12   14   16   18   20   22    24
#>  [3,]   12   15   18   21   24   27   30   33   36    39
#>  [4,]   20   24   28   32   36   40   44   48   52    56
#>  [5,]   30   35   40   45   50   55   60   65   70    75
#>  [6,]   42   48   54   60   66   72   78   84   90    96
#>  [7,]   56   63   70   77   84   91   98  105  112   119
#>  [8,]   72   80   88   96  104  112  120  128  136   144
#>  [9,]   90   99  108  117  126  135  144  153  162   171
#> [10,]  110  120  130  140  150  160  170  180  190   200
#> broadcaster


# relational operators ====
x <- 1:10
y <- array(1:10, c(1, 10))
broadcaster(x) <- TRUE
broadcaster(y) <- TRUE

x == y
#>        [,1]  [,2]  [,3]  [,4]  [,5]  [,6]  [,7]  [,8]  [,9] [,10]
#>  [1,]  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
#>  [2,] FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
#>  [3,] FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
#>  [4,] FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE
#>  [5,] FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE
#>  [6,] FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE
#>  [7,] FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE
#>  [8,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE
#>  [9,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE
#> [10,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE
#> broadcaster
x != y
#>        [,1]  [,2]  [,3]  [,4]  [,5]  [,6]  [,7]  [,8]  [,9] [,10]
#>  [1,] FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [2,]  TRUE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [3,]  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [4,]  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [5,]  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [6,]  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE
#>  [7,]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE
#>  [8,]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE
#>  [9,]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE
#> [10,]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE
#> broadcaster
x < y
#>        [,1]  [,2]  [,3]  [,4]  [,5]  [,6]  [,7]  [,8]  [,9] [,10]
#>  [1,] FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [2,] FALSE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [3,] FALSE FALSE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [4,] FALSE FALSE FALSE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [5,] FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [6,] FALSE FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE  TRUE  TRUE
#>  [7,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE  TRUE
#>  [8,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE
#>  [9,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE
#> [10,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
#> broadcaster
x > y
#>        [,1]  [,2]  [,3]  [,4]  [,5]  [,6]  [,7]  [,8]  [,9] [,10]
#>  [1,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
#>  [2,]  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
#>  [3,]  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
#>  [4,]  TRUE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
#>  [5,]  TRUE  TRUE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE
#>  [6,]  TRUE  TRUE  TRUE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE
#>  [7,]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE FALSE FALSE FALSE
#>  [8,]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE FALSE FALSE
#>  [9,]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE FALSE
#> [10,]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE
#> broadcaster
x <= y
#>        [,1]  [,2]  [,3]  [,4]  [,5]  [,6]  [,7]  [,8]  [,9] [,10]
#>  [1,]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [2,] FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [3,] FALSE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [4,] FALSE FALSE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [5,] FALSE FALSE FALSE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [6,] FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [7,] FALSE FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE  TRUE  TRUE
#>  [8,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE  TRUE
#>  [9,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE
#> [10,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE
#> broadcaster
x >= y
#>       [,1]  [,2]  [,3]  [,4]  [,5]  [,6]  [,7]  [,8]  [,9] [,10]
#>  [1,] TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
#>  [2,] TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
#>  [3,] TRUE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
#>  [4,] TRUE  TRUE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE
#>  [5,] TRUE  TRUE  TRUE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE
#>  [6,] TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE FALSE FALSE FALSE
#>  [7,] TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE FALSE FALSE
#>  [8,] TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE FALSE
#>  [9,] TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE
#> [10,] TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
#> broadcaster




# maths ====

x <- sample(1:10)
y <- sample(1:10)
dim(x) <- c(10, 1)
dim(y) <- c(1, 10)
mbroadcasters(c("x", "y"), TRUE)



x + y / x
#>            [,1]      [,2]      [,3]      [,4]      [,5]      [,6]      [,7]
#>  [1,]  5.600000  6.800000  5.400000  6.000000  7.000000  5.800000  6.600000
#>  [2,]  4.000000 10.000000  3.000000  6.000000 11.000000  5.000000  9.000000
#>  [3,]  7.428571  8.285714  7.285714  7.714286  8.428571  7.571429  8.142857
#>  [4,]  4.000000  6.000000  3.666667  4.666667  6.333333  4.333333  5.666667
#>  [5,]  3.500000  6.500000  3.000000  4.500000  7.000000  4.000000  6.000000
#>  [6,]  9.333333 10.000000  9.222222  9.555556 10.111111  9.444444  9.888889
#>  [7,]  6.500000  7.500000  6.333333  6.833333  7.666667  6.666667  7.333333
#>  [8,] 10.300000 10.900000 10.200000 10.500000 11.000000 10.400000 10.800000
#>  [9,]  8.375000  9.125000  8.250000  8.625000  9.250000  8.500000  9.000000
#> [10,]  4.750000  6.250000  4.500000  5.250000  6.500000  5.000000  6.000000
#>            [,8]      [,9]     [,10]
#>  [1,]  5.200000  6.200000  6.400000
#>  [2,]  2.000000  7.000000  8.000000
#>  [3,]  7.142857  7.857143  8.000000
#>  [4,]  3.333333  5.000000  5.333333
#>  [5,]  2.500000  5.000000  5.500000
#>  [6,]  9.111111  9.666667  9.777778
#>  [7,]  6.166667  7.000000  7.166667
#>  [8,] 10.100000 10.600000 10.700000
#>  [9,]  8.125000  8.750000  8.875000
#> [10,]  4.250000  5.500000  5.750000
#> broadcaster
(x + y) / x
#>           [,1]      [,2]     [,3]     [,4]      [,5]     [,6]     [,7]     [,8]
#>  [1,] 1.600000  2.800000 1.400000 2.000000  3.000000 1.800000 2.600000 1.200000
#>  [2,] 4.000000 10.000000 3.000000 6.000000 11.000000 5.000000 9.000000 2.000000
#>  [3,] 1.428571  2.285714 1.285714 1.714286  2.428571 1.571429 2.142857 1.142857
#>  [4,] 2.000000  4.000000 1.666667 2.666667  4.333333 2.333333 3.666667 1.333333
#>  [5,] 2.500000  5.500000 2.000000 3.500000  6.000000 3.000000 5.000000 1.500000
#>  [6,] 1.333333  2.000000 1.222222 1.555556  2.111111 1.444444 1.888889 1.111111
#>  [7,] 1.500000  2.500000 1.333333 1.833333  2.666667 1.666667 2.333333 1.166667
#>  [8,] 1.300000  1.900000 1.200000 1.500000  2.000000 1.400000 1.800000 1.100000
#>  [9,] 1.375000  2.125000 1.250000 1.625000  2.250000 1.500000 2.000000 1.125000
#> [10,] 1.750000  3.250000 1.500000 2.250000  3.500000 2.000000 3.000000 1.250000
#>           [,9]    [,10]
#>  [1,] 2.200000 2.400000
#>  [2,] 7.000000 8.000000
#>  [3,] 1.857143 2.000000
#>  [4,] 3.000000 3.333333
#>  [5,] 4.000000 4.500000
#>  [6,] 1.666667 1.777778
#>  [7,] 2.000000 2.166667
#>  [8,] 1.600000 1.700000
#>  [9,] 1.750000 1.875000
#> [10,] 2.500000 2.750000
#> broadcaster

(x + y) * x
#>       [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10]
#>  [1,]   40   70   35   50   75   45   65   30   55    60
#>  [2,]    4   10    3    6   11    5    9    2    7     8
#>  [3,]   70  112   63   84  119   77  105   56   91    98
#>  [4,]   18   36   15   24   39   21   33   12   27    30
#>  [5,]   10   22    8   14   24   12   20    6   16    18
#>  [6,]  108  162   99  126  171  117  153   90  135   144
#>  [7,]   54   90   48   66   96   60   84   42   72    78
#>  [8,]  130  190  120  150  200  140  180  110  160   170
#>  [9,]   88  136   80  104  144   96  128   72  112   120
#> [10,]   28   52   24   36   56   32   48   20   40    44
#> broadcaster


# relational operators ====
x <- 1:10
y <- array(1:10, c(1, 10))
mbroadcasters(c("x", "y"), TRUE)

x == y
#>        [,1]  [,2]  [,3]  [,4]  [,5]  [,6]  [,7]  [,8]  [,9] [,10]
#>  [1,]  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
#>  [2,] FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
#>  [3,] FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
#>  [4,] FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE
#>  [5,] FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE
#>  [6,] FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE
#>  [7,] FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE
#>  [8,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE
#>  [9,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE
#> [10,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE
#> broadcaster
x != y
#>        [,1]  [,2]  [,3]  [,4]  [,5]  [,6]  [,7]  [,8]  [,9] [,10]
#>  [1,] FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [2,]  TRUE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [3,]  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [4,]  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [5,]  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [6,]  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE  TRUE
#>  [7,]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE  TRUE
#>  [8,]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE  TRUE
#>  [9,]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE  TRUE
#> [10,]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE
#> broadcaster
x < y
#>        [,1]  [,2]  [,3]  [,4]  [,5]  [,6]  [,7]  [,8]  [,9] [,10]
#>  [1,] FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [2,] FALSE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [3,] FALSE FALSE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [4,] FALSE FALSE FALSE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [5,] FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [6,] FALSE FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE  TRUE  TRUE
#>  [7,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE  TRUE
#>  [8,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE
#>  [9,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE
#> [10,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
#> broadcaster
x > y
#>        [,1]  [,2]  [,3]  [,4]  [,5]  [,6]  [,7]  [,8]  [,9] [,10]
#>  [1,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
#>  [2,]  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
#>  [3,]  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
#>  [4,]  TRUE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
#>  [5,]  TRUE  TRUE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE
#>  [6,]  TRUE  TRUE  TRUE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE
#>  [7,]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE FALSE FALSE FALSE
#>  [8,]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE FALSE FALSE
#>  [9,]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE FALSE
#> [10,]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE
#> broadcaster
x <= y
#>        [,1]  [,2]  [,3]  [,4]  [,5]  [,6]  [,7]  [,8]  [,9] [,10]
#>  [1,]  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [2,] FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [3,] FALSE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [4,] FALSE FALSE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [5,] FALSE FALSE FALSE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [6,] FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE  TRUE  TRUE  TRUE
#>  [7,] FALSE FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE  TRUE  TRUE
#>  [8,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE  TRUE
#>  [9,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE
#> [10,] FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE
#> broadcaster
x >= y
#>       [,1]  [,2]  [,3]  [,4]  [,5]  [,6]  [,7]  [,8]  [,9] [,10]
#>  [1,] TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
#>  [2,] TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
#>  [3,] TRUE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE
#>  [4,] TRUE  TRUE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE
#>  [5,] TRUE  TRUE  TRUE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE
#>  [6,] TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE FALSE FALSE FALSE
#>  [7,] TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE FALSE FALSE
#>  [8,] TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE FALSE
#>  [9,] TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE FALSE
#> [10,] TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE  TRUE
#> broadcaster