The functions pol.ranges() and lim.ranges() compute the theoretical ranges of the polytope along each dimension of a given polytope \(\mathcal{P}= \{ x \in \mathbb{R}^n: Ax = B, Gx \geq H \}\).
pol.ranges(A = NULL, B = NULL, G, H)
lim.ranges(lim)A matrix corresponding to A in the description of the polytope \(\mathcal{P}\).
A numeric vector corresponding to B in the description of the polytope \(\mathcal{P}\).
A matrix corresponding to G in the description of the polytope \(\mathcal{P}\).
A numeric vector corresponding to H in the description of the polytope \(\mathcal{P}\).
A list with four components A, B, G and H representing
the polytope.
A \(n \times 3\) matrix, with \(n\) the dimension of the polytope. The three columns of the matrix correspond respectively to the minimum, maximum and range along each dimension of the polytope.
# Create a lim object from a Description file
DF <- system.file("extdata", "DeclarationFileBOWF-short.txt", package = "samplelim")
BOWF <- df2lim(DF)
pol.ranges(A = BOWF$A, B = BOWF$B, G = BOWF$G, H = BOWF$H)
#> min max range
#> [1,] 114.4444444 860.000000 745.555556
#> [2,] 0.8294294 19.140679 18.311249
#> [3,] 9.7687500 91.874002 82.105252
#> [4,] 0.0000000 27.892545 27.892545
#> [5,] 0.0000000 848.497039 848.497039
#> [6,] 5.7222222 258.000000 252.277778
#> [7,] 5.7222222 430.000000 424.277778
#> [8,] 35.8187500 170.623147 134.804397
#> [9,] 1.3768528 136.181250 134.804397
#> [10,] 0.0000000 128.291897 128.291897
#> [11,] 0.0000000 128.291897 128.291897
#> [12,] 0.0000000 506.793943 506.793943
#> [13,] 0.0000000 308.624517 308.624517
#> [14,] 0.0000000 529.070600 529.070600
#> [15,] 0.1658859 49.222139 49.056253
#> [16,] 0.3317718 82.036898 81.705126
#> [17,] 0.8294294 19.140679 18.311249
#> [18,] 0.0000000 38.690056 38.690056
#> [19,] 0.0000000 16.407380 16.407380
#> [20,] 0.0000000 77.284275 77.284275
#> [21,] 18.2350000 195.710163 177.475163
#> [22,] 11.7225000 110.248803 98.526303
#> [23,] 0.8294294 19.140679 18.311249
#> [24,] 0.3968214 77.088716 76.691894
#> [25,] 3.1901131 31.901131 28.711018
#> [26,] 0.6380226 31.901131 31.263108
#> [27,] 0.6380226 6.380226 5.742204
#> [28,] 0.0000000 4.017179 4.017179