| |
| R version 3.6.2 Patched (2020-02-12 r77795) -- "Dark and Stormy Night" |
| Copyright (C) 2020 The R Foundation for Statistical Computing |
| Platform: x86_64-pc-linux-gnu (64-bit) |
| |
| R is free software and comes with ABSOLUTELY NO WARRANTY. |
| You are welcome to redistribute it under certain conditions. |
| Type 'license()' or 'licence()' for distribution details. |
| |
| R is a collaborative project with many contributors. |
| Type 'contributors()' for more information and |
| 'citation()' on how to cite R or R packages in publications. |
| |
| Type 'demo()' for some demos, 'help()' for on-line help, or |
| 'help.start()' for an HTML browser interface to help. |
| Type 'q()' to quit R. |
| |
| > options(digits=7) |
| > |
| > ## powers |
| > outer(a <- -4:12, -2:7, "^") |
| [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] |
| [1,] 0.062500000 -0.25000000 1 -4 16 -64 256 -1024 4096 -16384 |
| [2,] 0.111111111 -0.33333333 1 -3 9 -27 81 -243 729 -2187 |
| [3,] 0.250000000 -0.50000000 1 -2 4 -8 16 -32 64 -128 |
| [4,] 1.000000000 -1.00000000 1 -1 1 -1 1 -1 1 -1 |
| [5,] Inf Inf 1 0 0 0 0 0 0 0 |
| [6,] 1.000000000 1.00000000 1 1 1 1 1 1 1 1 |
| [7,] 0.250000000 0.50000000 1 2 4 8 16 32 64 128 |
| [8,] 0.111111111 0.33333333 1 3 9 27 81 243 729 2187 |
| [9,] 0.062500000 0.25000000 1 4 16 64 256 1024 4096 16384 |
| [10,] 0.040000000 0.20000000 1 5 25 125 625 3125 15625 78125 |
| [11,] 0.027777778 0.16666667 1 6 36 216 1296 7776 46656 279936 |
| [12,] 0.020408163 0.14285714 1 7 49 343 2401 16807 117649 823543 |
| [13,] 0.015625000 0.12500000 1 8 64 512 4096 32768 262144 2097152 |
| [14,] 0.012345679 0.11111111 1 9 81 729 6561 59049 531441 4782969 |
| [15,] 0.010000000 0.10000000 1 10 100 1000 10000 100000 1000000 10000000 |
| [16,] 0.008264463 0.09090909 1 11 121 1331 14641 161051 1771561 19487171 |
| [17,] 0.006944444 0.08333333 1 12 144 1728 20736 248832 2985984 35831808 |
| > |
| > for (n1 in 1:7) |
| + print(zapsmall(polyroot(1:n1), digits = 10)) |
| complex(0) |
| [1] -0.5+0i |
| [1] -0.3333333+0.4714045i -0.3333333-0.4714045i |
| [1] -0.0720852+0.6383267i -0.6058296+0.0000000i -0.0720852-0.6383267i |
| [1] 0.1378323+0.6781544i -0.5378323+0.3582847i -0.5378323-0.3582847i |
| [4] 0.1378323-0.6781544i |
| [1] 0.2941946+0.6683671i -0.3756952+0.5701752i -0.3756952-0.5701752i |
| [4] 0.2941946-0.6683671i -0.6703320+0.0000000i |
| [1] 0.4106842+0.6398894i -0.6341119+0.2876550i -0.2051437-0.6837970i |
| [4] 0.4106842-0.6398894i -0.2051437+0.6837970i -0.6341119-0.2876550i |
| > |
| > ## lowess() {incl. sort, etc}: |
| > options(digits = 5) |
| > |
| > lowess(c(3,2,6,3,8,4))$y # this used to differ on Linux |
| [1] 2.4259 3.4293 3.9896 5.2832 5.3386 4.9822 |
| > |
| > y1 <- c(3,1:2,5:2,4,1:3,3) |
| > lowess(y1)$y |
| [1] 2.0723 2.4362 2.7508 3.0038 3.2036 3.2435 2.8485 2.4832 2.4197 2.5231 |
| [11] 2.6286 2.7813 |
| > lowess(y1, f = .4)$y |
| [1] 2.7030 1.9593 2.4351 3.4933 4.0000 3.0000 2.4651 1.8579 1.7357 2.0000 |
| [11] 2.7103 3.1184 |
| > |
| > lowess(c(y1,100), f = .4)$y |
| [1] 2.2135 2.2468 2.5459 3.7984 4.0000 3.0000 2.8427 2.4999 2.1512 2.0000 |
| [11] 2.7129 3.1195 3.4172 |
| > |
| > ## this is the test sample from Cleveland's original lowess.doc: |
| > x <- c(1:5, rep(6,10),8,10,12,14,50) |
| > y <- c(18,2,15,6,10,4,16,11,7,3,14,17,20,12,9,13,1,8,5,19) |
| > lowess(x,y, f = .25, iter = 0, delta = 0)$y |
| [1] 13.6588 11.1446 8.7012 9.7220 10.0000 11.3000 11.3000 11.3000 11.3000 |
| [10] 11.3000 11.3000 11.3000 11.3000 11.3000 11.3000 13.0000 6.4399 5.5959 |
| [19] 5.4557 18.9982 |
| > lowess(x,y, f = .25, iter = 0, delta = 3)$y |
| [1] 13.6588 12.3466 11.0343 9.7220 10.5110 11.3000 11.3000 11.3000 11.3000 |
| [10] 11.3000 11.3000 11.3000 11.3000 11.3000 11.3000 13.0000 6.4399 5.5959 |
| [19] 5.4557 18.9982 |
| > lowess(x,y, f = .25, iter = 2, delta = 0)$y |
| [1] 14.8112 12.1154 8.9838 9.6757 10.0000 11.3460 11.3460 11.3460 11.3460 |
| [10] 11.3460 11.3460 11.3460 11.3460 11.3460 11.3460 13.0000 6.7345 5.7437 |
| [19] 5.4147 18.9981 |
| > |
| > |
