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Type 'q()' to quit R. > > #### Testing medcouple and related functions > > ### Strict (and timing) tests are in ./mc-strict.R > ### ~~~~~~~~~~~~ > ### Here, we produce output which is *compared* with ./mc-etc.Rout.save > > library(robustbase) > source(system.file("xtraR/mcnaive.R", package = "robustbase"))# mcNaive() > > ## This is somewhat interesting {diff the output !} > ## particularly since *most* give the 'not found' diagnostic > set.seed(17) > for(n in 1:100) { + cat(sprintf("n =%3d:\n------\n", n)) + mcval <- mc(rlnorm(n), trace=TRUE, doRefl=FALSE) + cat(sprintf(" --> mc(rlnorm(%d)) = %.6f\n", n, mcval)) + } n = 1: ------ The default of 'doScale' is FALSE now for stability; set options(mc_doScale_quiet=TRUE) to suppress this (once per session) message --> mc(rlnorm(1)) = 0.000000 n = 2: ------ --> mc(rlnorm(2)) = 0.000000 n = 3: ------ mc_C_d(z[1:3], trace_lev=1, scale=F): Median = 0.847375 (not at the border) now allocating 2+5 work arrays of size (1+) h2=2 each: --> mc(rlnorm(3)) = 0.000000 n = 4: ------ mc_C_d(z[1:4], trace_lev=1, scale=F): Median = 2.04417 (not at the border) now allocating 2+5 work arrays of size (1+) h2=2 each: not found [it=0, (nr,nl) = (4,0)], -> (knew-nl-1, j) = (2, 4) --> mc(rlnorm(4)) = 0.000000 n = 5: ------ mc_C_d(z[1:5], trace_lev=1, scale=F): Median = 3.25694 (not at the border) now allocating 2+5 work arrays of size (1+) h2=3 each: not found [it=1, (nr,nl) = (5,0)], -> (knew-nl-1, j) = (4, 5) --> mc(rlnorm(5)) = -0.107345 n = 6: ------ mc_C_d(z[1:6], trace_lev=1, scale=F): Median = 1.87719 (not at the border) now allocating 2+5 work arrays of size (1+) h2=3 each: not found [it=1, (nr,nl) = (5,0)], -> (knew-nl-1, j) = (4, 5) --> mc(rlnorm(6)) = -0.362411 n = 7: ------ mc_C_d(z[1:7], trace_lev=1, scale=F): Median = 1.12459 (not at the border) now allocating 2+5 work arrays of size (1+) h2=4 each: not found [it=2, (nr,nl) = (10,7)], -> (knew-nl-1, j) = (1, 3) --> mc(rlnorm(7)) = 0.527099 n = 8: ------ mc_C_d(z[1:8], trace_lev=1, scale=F): Median = 0.399023 (not at the border) now allocating 2+5 work arrays of size (1+) h2=4 each: --> mc(rlnorm(8)) = 0.004898 n = 9: ------ mc_C_d(z[1:9], trace_lev=1, scale=F): Median = 0.813573 (not at the border) now allocating 2+5 work arrays of size (1+) h2=5 each: not found [it=2, (nr,nl) = (14,11)], -> (knew-nl-1, j) = (1, 3) --> mc(rlnorm(9)) = 0.665152 n = 10: ------ mc_C_d(z[1:10], trace_lev=1, scale=F): Median = 1.224 (not at the border) now allocating 2+5 work arrays of size (1+) h2=5 each: not found [it=2, (nr,nl) = (14,11)], -> (knew-nl-1, j) = (1, 3) --> mc(rlnorm(10)) = 0.336027 n = 11: ------ mc_C_d(z[1:11], trace_lev=1, scale=F): Median = 1.16303 (not at the border) now allocating 2+5 work arrays of size (1+) h2=6 each: not found [it=2, (nr,nl) = (23,13)], -> (knew-nl-1, j) = (5, 10) --> mc(rlnorm(11)) = 0.335301 n = 12: ------ mc_C_d(z[1:12], trace_lev=1, scale=F): Median = 0.701877 (not at the border) now allocating 2+5 work arrays of size (1+) h2=6 each: not found [it=2, (nr,nl) = (22,12)], -> (knew-nl-1, j) = (6, 10) --> mc(rlnorm(12)) = 0.360765 n = 13: ------ mc_C_d(z[1:13], trace_lev=1, scale=F): Median = 1.14961 (not at the border) now allocating 2+5 work arrays of size (1+) h2=7 each: not found [it=2, (nr,nl) = (27,18)], -> (knew-nl-1, j) = (6, 9) --> mc(rlnorm(13)) = 0.403639 n = 14: ------ mc_C_d(z[1:14], trace_lev=1, scale=F): Median = 0.693278 (not at the border) now allocating 2+5 work arrays of size (1+) h2=7 each: --> mc(rlnorm(14)) = 0.700385 n = 15: ------ mc_C_d(z[1:15], trace_lev=1, scale=F): Median = 1.39603 (not at the border) now allocating 2+5 work arrays of size (1+) h2=8 each: not found [it=2, (nr,nl) = (35,23)], -> (knew-nl-1, j) = (9, 12) --> mc(rlnorm(15)) = 0.471475 n = 16: ------ mc_C_d(z[1:16], trace_lev=1, scale=F): Median = 0.993696 (not at the border) now allocating 2+5 work arrays of size (1+) h2=8 each: not found [it=3, (nr,nl) = (40,29)], -> (knew-nl-1, j) = (3, 11) --> mc(rlnorm(16)) = 0.316894 n = 17: ------ mc_C_d(z[1:17], trace_lev=1, scale=F): Median = 1.06594 (not at the border) now allocating 2+5 work arrays of size (1+) h2=9 each: not found [it=2, (nr,nl) = (43,26)], -> (knew-nl-1, j) = (14, 17) --> mc(rlnorm(17)) = 0.496123 n = 18: ------ mc_C_d(z[1:18], trace_lev=1, scale=F): Median = 0.752636 (not at the border) now allocating 2+5 work arrays of size (1+) h2=9 each: --> mc(rlnorm(18)) = 0.412646 n = 19: ------ mc_C_d(z[1:19], trace_lev=1, scale=F): Median = 0.607121 (not at the border) now allocating 2+5 work arrays of size (1+) h2=10 each: not found [it=3, (nr,nl) = (61,49)], -> (knew-nl-1, j) = (1, 12) --> mc(rlnorm(19)) = 0.707461 n = 20: ------ mc_C_d(z[1:20], trace_lev=1, scale=F): Median = 0.734745 (not at the border) now allocating 2+5 work arrays of size (1+) h2=10 each: not found [it=3, (nr,nl) = (51,34)], -> (knew-nl-1, j) = (16, 17) --> mc(rlnorm(20)) = 0.741001 n = 21: ------ mc_C_d(z[1:21], trace_lev=1, scale=F): Median = 0.962639 (not at the border) now allocating 2+5 work arrays of size (1+) h2=11 each: not found [it=3, (nr,nl) = (78,58)], -> (knew-nl-1, j) = (2, 20) --> mc(rlnorm(21)) = 0.713546 n = 22: ------ mc_C_d(z[1:22], trace_lev=1, scale=F): Median = 0.623584 (not at the border) now allocating 2+5 work arrays of size (1+) h2=11 each: --> mc(rlnorm(22)) = 0.624709 n = 23: ------ mc_C_d(z[1:23], trace_lev=1, scale=F): Median = 1.27168 (not at the border) now allocating 2+5 work arrays of size (1+) h2=12 each: not found [it=3, (nr,nl) = (80,60)], -> (knew-nl-1, j) = (12, 20) --> mc(rlnorm(23)) = 0.488602 n = 24: ------ mc_C_d(z[1:24], trace_lev=1, scale=F): Median = 1.1221 (not at the border) now allocating 2+5 work arrays of size (1+) h2=12 each: not found [it=3, (nr,nl) = (85,63)], -> (knew-nl-1, j) = (9, 22) --> mc(rlnorm(24)) = 0.310879 n = 25: ------ mc_C_d(z[1:25], trace_lev=1, scale=F): Median = 1.07368 (not at the border) now allocating 2+5 work arrays of size (1+) h2=13 each: not found [it=4, (nr,nl) = (85,78)], -> (knew-nl-1, j) = (6, 7) --> mc(rlnorm(25)) = 0.455712 n = 26: ------ mc_C_d(z[1:26], trace_lev=1, scale=F): Median = 0.838229 (not at the border) now allocating 2+5 work arrays of size (1+) h2=13 each: not found [it=3, (nr,nl) = (85,62)], -> (knew-nl-1, j) = (22, 23) --> mc(rlnorm(26)) = 0.269868 n = 27: ------ mc_C_d(z[1:27], trace_lev=1, scale=F): Median = 1.07424 (not at the border) now allocating 2+5 work arrays of size (1+) h2=14 each: --> mc(rlnorm(27)) = 0.510525 n = 28: ------ mc_C_d(z[1:28], trace_lev=1, scale=F): Median = 1.03498 (not at the border) now allocating 2+5 work arrays of size (1+) h2=14 each: not found [it=3, (nr,nl) = (102,82)], -> (knew-nl-1, j) = (16, 20) --> mc(rlnorm(28)) = 0.423608 n = 29: ------ mc_C_d(z[1:29], trace_lev=1, scale=F): Median = 0.567121 (not at the border) now allocating 2+5 work arrays of size (1+) h2=15 each: not found [it=3, (nr,nl) = (123,107)], -> (knew-nl-1, j) = (5, 16) --> mc(rlnorm(29)) = 0.615190 n = 30: ------ mc_C_d(z[1:30], trace_lev=1, scale=F): Median = 1.19017 (not at the border) now allocating 2+5 work arrays of size (1+) h2=15 each: not found [it=3, (nr,nl) = (129,110)], -> (knew-nl-1, j) = (2, 19) --> mc(rlnorm(30)) = 0.128611 n = 31: ------ mc_C_d(z[1:31], trace_lev=1, scale=F): Median = 1.01222 (not at the border) now allocating 2+5 work arrays of size (1+) h2=16 each: not found [it=4, (nr,nl) = (131,114)], -> (knew-nl-1, j) = (14, 17) --> mc(rlnorm(31)) = 0.383694 n = 32: ------ mc_C_d(z[1:32], trace_lev=1, scale=F): Median = 1.49663 (not at the border) now allocating 2+5 work arrays of size (1+) h2=16 each: not found [it=3, (nr,nl) = (138,112)], -> (knew-nl-1, j) = (16, 26) --> mc(rlnorm(32)) = 0.352154 n = 33: ------ mc_C_d(z[1:33], trace_lev=1, scale=F): Median = 0.889278 (not at the border) now allocating 2+5 work arrays of size (1+) h2=17 each: not found [it=4, (nr,nl) = (168,144)], -> (knew-nl-1, j) = (0, 24) --> mc(rlnorm(33)) = 0.517069 n = 34: ------ mc_C_d(z[1:34], trace_lev=1, scale=F): Median = 0.918038 (not at the border) now allocating 2+5 work arrays of size (1+) h2=17 each: not found [it=3, (nr,nl) = (156,132)], -> (knew-nl-1, j) = (12, 24) --> mc(rlnorm(34)) = 0.190217 n = 35: ------ mc_C_d(z[1:35], trace_lev=1, scale=F): Median = 1.13929 (not at the border) now allocating 2+5 work arrays of size (1+) h2=18 each: not found [it=3, (nr,nl) = (165,132)], -> (knew-nl-1, j) = (30, 33) --> mc(rlnorm(35)) = 0.271650 n = 36: ------ mc_C_d(z[1:36], trace_lev=1, scale=F): Median = 0.889333 (not at the border) now allocating 2+5 work arrays of size (1+) h2=18 each: not found [it=3, (nr,nl) = (177,148)], -> (knew-nl-1, j) = (14, 29) --> mc(rlnorm(36)) = 0.423678 n = 37: ------ mc_C_d(z[1:37], trace_lev=1, scale=F): Median = 1.05539 (not at the border) now allocating 2+5 work arrays of size (1+) h2=19 each: not found [it=4, (nr,nl) = (204,178)], -> (knew-nl-1, j) = (2, 26) --> mc(rlnorm(37)) = 0.250077 n = 38: ------ mc_C_d(z[1:38], trace_lev=1, scale=F): Median = 1.12551 (not at the border) now allocating 2+5 work arrays of size (1+) h2=19 each: not found [it=3, (nr,nl) = (191,161)], -> (knew-nl-1, j) = (19, 30) --> mc(rlnorm(38)) = 0.140248 n = 39: ------ mc_C_d(z[1:39], trace_lev=1, scale=F): Median = 1.03316 (not at the border) now allocating 2+5 work arrays of size (1+) h2=20 each: not found [it=4, (nr,nl) = (221,193)], -> (knew-nl-1, j) = (7, 28) --> mc(rlnorm(39)) = 0.561994 n = 40: ------ mc_C_d(z[1:40], trace_lev=1, scale=F): Median = 1.39283 (not at the border) now allocating 2+5 work arrays of size (1+) h2=20 each: not found [it=4, (nr,nl) = (217,195)], -> (knew-nl-1, j) = (5, 22) --> mc(rlnorm(40)) = 0.262729 n = 41: ------ mc_C_d(z[1:41], trace_lev=1, scale=F): Median = 1.04459 (not at the border) now allocating 2+5 work arrays of size (1+) h2=21 each: not found [it=4, (nr,nl) = (229,199)], -> (knew-nl-1, j) = (21, 30) --> mc(rlnorm(41)) = 0.416359 n = 42: ------ mc_C_d(z[1:42], trace_lev=1, scale=F): Median = 1.03596 (not at the border) now allocating 2+5 work arrays of size (1+) h2=21 each: not found [it=4, (nr,nl) = (228,198)], -> (knew-nl-1, j) = (22, 30) --> mc(rlnorm(42)) = 0.115782 n = 43: ------ mc_C_d(z[1:43], trace_lev=1, scale=F): Median = 0.938235 (not at the border) now allocating 2+5 work arrays of size (1+) h2=22 each: not found [it=4, (nr,nl) = (270,238)], -> (knew-nl-1, j) = (4, 32) --> mc(rlnorm(43)) = 0.491648 n = 44: ------ mc_C_d(z[1:44], trace_lev=1, scale=F): Median = 1.03247 (not at the border) now allocating 2+5 work arrays of size (1+) h2=22 each: not found [it=4, (nr,nl) = (258,222)], -> (knew-nl-1, j) = (20, 36) --> mc(rlnorm(44)) = 0.402930 n = 45: ------ mc_C_d(z[1:45], trace_lev=1, scale=F): Median = 1.19818 (not at the border) now allocating 2+5 work arrays of size (1+) h2=23 each: not found [it=4, (nr,nl) = (292,256)], -> (knew-nl-1, j) = (8, 36) --> mc(rlnorm(45)) = 0.178041 n = 46: ------ mc_C_d(z[1:46], trace_lev=1, scale=F): Median = 0.823748 (not at the border) now allocating 2+5 work arrays of size (1+) h2=23 each: not found [it=4, (nr,nl) = (274,242)], -> (knew-nl-1, j) = (22, 32) --> mc(rlnorm(46)) = 0.550296 n = 47: ------ mc_C_d(z[1:47], trace_lev=1, scale=F): Median = 0.850011 (not at the border) now allocating 2+5 work arrays of size (1+) h2=24 each: not found [it=5, (nr,nl) = (301,282)], -> (knew-nl-1, j) = (6, 19) --> mc(rlnorm(47)) = 0.523371 n = 48: ------ mc_C_d(z[1:48], trace_lev=1, scale=F): Median = 0.984916 (not at the border) now allocating 2+5 work arrays of size (1+) h2=24 each: not found [it=4, (nr,nl) = (327,284)], -> (knew-nl-1, j) = (4, 43) --> mc(rlnorm(48)) = 0.372149 n = 49: ------ mc_C_d(z[1:49], trace_lev=1, scale=F): Median = 0.977565 (not at the border) now allocating 2+5 work arrays of size (1+) h2=25 each: not found [it=4, (nr,nl) = (342,306)], -> (knew-nl-1, j) = (6, 36) --> mc(rlnorm(49)) = 0.359081 n = 50: ------ mc_C_d(z[1:50], trace_lev=1, scale=F): Median = 1.321 (not at the border) now allocating 2+5 work arrays of size (1+) h2=25 each: not found [it=4, (nr,nl) = (333,305)], -> (knew-nl-1, j) = (7, 28) --> mc(rlnorm(50)) = 0.270815 n = 51: ------ mc_C_d(z[1:51], trace_lev=1, scale=F): Median = 0.663719 (not at the border) now allocating 2+5 work arrays of size (1+) h2=26 each: not found [it=3, (nr,nl) = (361,314)], -> (knew-nl-1, j) = (24, 47) --> mc(rlnorm(51)) = 0.809476 n = 52: ------ mc_C_d(z[1:52], trace_lev=1, scale=F): Median = 0.863617 (not at the border) now allocating 2+5 work arrays of size (1+) h2=26 each: not found [it=4, (nr,nl) = (350,298)], -> (knew-nl-1, j) = (40, 52) --> mc(rlnorm(52)) = 0.453604 n = 53: ------ mc_C_d(z[1:53], trace_lev=1, scale=F): Median = 0.869323 (not at the border) now allocating 2+5 work arrays of size (1+) h2=27 each: not found [it=4, (nr,nl) = (401,355)], -> (knew-nl-1, j) = (9, 46) --> mc(rlnorm(53)) = 0.463112 n = 54: ------ mc_C_d(z[1:54], trace_lev=1, scale=F): Median = 0.874467 (not at the border) now allocating 2+5 work arrays of size (1+) h2=27 each: not found [it=4, (nr,nl) = (391,361)], -> (knew-nl-1, j) = (3, 30) --> mc(rlnorm(54)) = 0.550312 n = 55: ------ mc_C_d(z[1:55], trace_lev=1, scale=F): Median = 1.2832 (not at the border) now allocating 2+5 work arrays of size (1+) h2=28 each: not found [it=4, (nr,nl) = (398,365)], -> (knew-nl-1, j) = (27, 33) --> mc(rlnorm(55)) = 0.292664 n = 56: ------ mc_C_d(z[1:56], trace_lev=1, scale=F): Median = 0.944194 (not at the border) now allocating 2+5 work arrays of size (1+) h2=28 each: not found [it=4, (nr,nl) = (423,369)], -> (knew-nl-1, j) = (23, 54) --> mc(rlnorm(56)) = 0.573530 n = 57: ------ mc_C_d(z[1:57], trace_lev=1, scale=F): Median = 0.834438 (not at the border) now allocating 2+5 work arrays of size (1+) h2=29 each: not found [it=4, (nr,nl) = (423,377)], -> (knew-nl-1, j) = (43, 46) --> mc(rlnorm(57)) = 0.559266 n = 58: ------ mc_C_d(z[1:58], trace_lev=1, scale=F): Median = 1.3469 (not at the border) now allocating 2+5 work arrays of size (1+) h2=29 each: not found [it=4, (nr,nl) = (437,399)], -> (knew-nl-1, j) = (21, 38) --> mc(rlnorm(58)) = 0.214333 n = 59: ------ mc_C_d(z[1:59], trace_lev=1, scale=F): Median = 1.13765 (not at the border) now allocating 2+5 work arrays of size (1+) h2=30 each: not found [it=4, (nr,nl) = (507,449)], -> (knew-nl-1, j) = (1, 58) --> mc(rlnorm(59)) = 0.424859 n = 60: ------ mc_C_d(z[1:60], trace_lev=1, scale=F): Median = 0.74878 (not at the border) now allocating 2+5 work arrays of size (1+) h2=30 each: not found [it=4, (nr,nl) = (475,422)], -> (knew-nl-1, j) = (28, 53) --> mc(rlnorm(60)) = 0.351161 n = 61: ------ mc_C_d(z[1:61], trace_lev=1, scale=F): Median = 1.18794 (not at the border) now allocating 2+5 work arrays of size (1+) h2=31 each: not found [it=4, (nr,nl) = (530,476)], -> (knew-nl-1, j) = (4, 54) --> mc(rlnorm(61)) = 0.249025 n = 62: ------ mc_C_d(z[1:62], trace_lev=1, scale=F): Median = 0.764012 (not at the border) now allocating 2+5 work arrays of size (1+) h2=31 each: not found [it=4, (nr,nl) = (514,468)], -> (knew-nl-1, j) = (12, 46) --> mc(rlnorm(62)) = 0.456371 n = 63: ------ mc_C_d(z[1:63], trace_lev=1, scale=F): Median = 1.0835 (not at the border) now allocating 2+5 work arrays of size (1+) h2=32 each: not found [it=5, (nr,nl) = (523,496)], -> (knew-nl-1, j) = (16, 27) --> mc(rlnorm(63)) = 0.504061 n = 64: ------ mc_C_d(z[1:64], trace_lev=1, scale=F): Median = 1.07216 (not at the border) now allocating 2+5 work arrays of size (1+) h2=32 each: not found [it=4, (nr,nl) = (545,491)], -> (knew-nl-1, j) = (21, 54) --> mc(rlnorm(64)) = 0.352580 n = 65: ------ mc_C_d(z[1:65], trace_lev=1, scale=F): Median = 0.98628 (not at the border) now allocating 2+5 work arrays of size (1+) h2=33 each: not found [it=4, (nr,nl) = (573,511)], -> (knew-nl-1, j) = (33, 62) --> mc(rlnorm(65)) = 0.534033 n = 66: ------ mc_C_d(z[1:66], trace_lev=1, scale=F): Median = 1.0057 (not at the border) now allocating 2+5 work arrays of size (1+) h2=33 each: not found [it=4, (nr,nl) = (563,505)], -> (knew-nl-1, j) = (39, 58) --> mc(rlnorm(66)) = 0.170391 n = 67: ------ mc_C_d(z[1:67], trace_lev=1, scale=F): Median = 1.10488 (not at the border) now allocating 2+5 work arrays of size (1+) h2=34 each: not found [it=5, (nr,nl) = (602,566)], -> (knew-nl-1, j) = (12, 36) --> mc(rlnorm(67)) = 0.273404 n = 68: ------ mc_C_d(z[1:68], trace_lev=1, scale=F): Median = 1.03721 (not at the border) now allocating 2+5 work arrays of size (1+) h2=34 each: not found [it=4, (nr,nl) = (600,547)], -> (knew-nl-1, j) = (31, 53) --> mc(rlnorm(68)) = 0.445825 n = 69: ------ mc_C_d(z[1:69], trace_lev=1, scale=F): Median = 1.04214 (not at the border) now allocating 2+5 work arrays of size (1+) h2=35 each: not found [it=4, (nr,nl) = (625,557)], -> (knew-nl-1, j) = (55, 68) --> mc(rlnorm(69)) = 0.426994 n = 70: ------ mc_C_d(z[1:70], trace_lev=1, scale=F): Median = 1.2122 (not at the border) now allocating 2+5 work arrays of size (1+) h2=35 each: not found [it=4, (nr,nl) = (657,597)], -> (knew-nl-1, j) = (15, 60) --> mc(rlnorm(70)) = 0.086907 n = 71: ------ mc_C_d(z[1:71], trace_lev=1, scale=F): Median = 0.75431 (not at the border) now allocating 2+5 work arrays of size (1+) h2=36 each: not found [it=5, (nr,nl) = (652,625)], -> (knew-nl-1, j) = (23, 27) --> mc(rlnorm(71)) = 0.586925 n = 72: ------ mc_C_d(z[1:72], trace_lev=1, scale=F): Median = 0.881605 (not at the border) now allocating 2+5 work arrays of size (1+) h2=36 each: not found [it=4, (nr,nl) = (691,629)], -> (knew-nl-1, j) = (19, 62) --> mc(rlnorm(72)) = 0.493531 n = 73: ------ mc_C_d(z[1:73], trace_lev=1, scale=F): Median = 1.36469 (not at the border) now allocating 2+5 work arrays of size (1+) h2=37 each: not found [it=5, (nr,nl) = (686,647)], -> (knew-nl-1, j) = (37, 39) --> mc(rlnorm(73)) = 0.072463 n = 74: ------ mc_C_d(z[1:74], trace_lev=1, scale=F): Median = 1.19573 (not at the border) now allocating 2+5 work arrays of size (1+) h2=37 each: not found [it=5, (nr,nl) = (718,666)], -> (knew-nl-1, j) = (18, 52) --> mc(rlnorm(74)) = 0.255581 n = 75: ------ mc_C_d(z[1:75], trace_lev=1, scale=F): Median = 0.95989 (not at the border) now allocating 2+5 work arrays of size (1+) h2=38 each: not found [it=4, (nr,nl) = (729,675)], -> (knew-nl-1, j) = (47, 54) --> mc(rlnorm(75)) = 0.366647 n = 76: ------ mc_C_d(z[1:76], trace_lev=1, scale=F): Median = 1.02703 (not at the border) now allocating 2+5 work arrays of size (1+) h2=38 each: not found [it=5, (nr,nl) = (745,713)], -> (knew-nl-1, j) = (9, 32) --> mc(rlnorm(76)) = 0.387911 n = 77: ------ mc_C_d(z[1:77], trace_lev=1, scale=F): Median = 0.924149 (not at the border) now allocating 2+5 work arrays of size (1+) h2=39 each: not found [it=5, (nr,nl) = (777,716)], -> (knew-nl-1, j) = (44, 61) --> mc(rlnorm(77)) = 0.415842 n = 78: ------ mc_C_d(z[1:78], trace_lev=1, scale=F): Median = 0.73153 (not at the border) now allocating 2+5 work arrays of size (1+) h2=39 each: not found [it=4, (nr,nl) = (811,740)], -> (knew-nl-1, j) = (20, 71) --> mc(rlnorm(78)) = 0.404619 n = 79: ------ mc_C_d(z[1:79], trace_lev=1, scale=F): Median = 0.836524 (not at the border) now allocating 2+5 work arrays of size (1+) h2=40 each: not found [it=5, (nr,nl) = (822,774)], -> (knew-nl-1, j) = (26, 48) --> mc(rlnorm(79)) = 0.396704 n = 80: ------ mc_C_d(z[1:80], trace_lev=1, scale=F): Median = 0.875466 (not at the border) now allocating 2+5 work arrays of size (1+) h2=40 each: not found [it=5, (nr,nl) = (820,768)], -> (knew-nl-1, j) = (32, 52) --> mc(rlnorm(80)) = 0.437883 n = 81: ------ mc_C_d(z[1:81], trace_lev=1, scale=F): Median = 0.949946 (not at the border) now allocating 2+5 work arrays of size (1+) h2=41 each: not found [it=5, (nr,nl) = (851,787)], -> (knew-nl-1, j) = (53, 64) --> mc(rlnorm(81)) = 0.482383 n = 82: ------ mc_C_d(z[1:82], trace_lev=1, scale=F): Median = 0.793115 (not at the border) now allocating 2+5 work arrays of size (1+) h2=41 each: not found [it=4, (nr,nl) = (866,792)], -> (knew-nl-1, j) = (48, 74) --> mc(rlnorm(82)) = 0.601821 n = 83: ------ mc_C_d(z[1:83], trace_lev=1, scale=F): Median = 0.777859 (not at the border) now allocating 2+5 work arrays of size (1+) h2=42 each: not found [it=5, (nr,nl) = (910,861)], -> (knew-nl-1, j) = (21, 49) --> mc(rlnorm(83)) = 0.522930 n = 84: ------ mc_C_d(z[1:84], trace_lev=1, scale=F): Median = 1.02484 (not at the border) now allocating 2+5 work arrays of size (1+) h2=42 each: not found [it=5, (nr,nl) = (891,840)], -> (knew-nl-1, j) = (42, 51) --> mc(rlnorm(84)) = 0.254919 n = 85: ------ mc_C_d(z[1:85], trace_lev=1, scale=F): Median = 0.733753 (not at the border) now allocating 2+5 work arrays of size (1+) h2=43 each: not found [it=5, (nr,nl) = (956,919)], -> (knew-nl-1, j) = (5, 37) --> mc(rlnorm(85)) = 0.591770 n = 86: ------ mc_C_d(z[1:86], trace_lev=1, scale=F): Median = 1.19888 (not at the border) now allocating 2+5 work arrays of size (1+) h2=43 each: not found [it=5, (nr,nl) = (936,887)], -> (knew-nl-1, j) = (37, 49) --> mc(rlnorm(86)) = 0.382632 n = 87: ------ mc_C_d(z[1:87], trace_lev=1, scale=F): Median = 0.973207 (not at the border) now allocating 2+5 work arrays of size (1+) h2=44 each: not found [it=5, (nr,nl) = (1012,962)], -> (knew-nl-1, j) = (6, 50) --> mc(rlnorm(87)) = 0.333662 n = 88: ------ mc_C_d(z[1:88], trace_lev=1, scale=F): Median = 0.931138 (not at the border) now allocating 2+5 work arrays of size (1+) h2=44 each: not found [it=4, (nr,nl) = (1017,942)], -> (knew-nl-1, j) = (26, 75) --> mc(rlnorm(88)) = 0.443169 n = 89: ------ mc_C_d(z[1:89], trace_lev=1, scale=F): Median = 0.785364 (not at the border) now allocating 2+5 work arrays of size (1+) h2=45 each: not found [it=5, (nr,nl) = (1015,974)], -> (knew-nl-1, j) = (38, 41) --> mc(rlnorm(89)) = 0.468986 n = 90: ------ mc_C_d(z[1:90], trace_lev=1, scale=F): Median = 1.08882 (not at the border) now allocating 2+5 work arrays of size (1+) h2=45 each: --> mc(rlnorm(90)) = 0.186779 n = 91: ------ mc_C_d(z[1:91], trace_lev=1, scale=F): Median = 0.904577 (not at the border) now allocating 2+5 work arrays of size (1+) h2=46 each: not found [it=5, (nr,nl) = (1064,1025)], -> (knew-nl-1, j) = (33, 39) --> mc(rlnorm(91)) = 0.452084 n = 92: ------ mc_C_d(z[1:92], trace_lev=1, scale=F): Median = 0.903908 (not at the border) now allocating 2+5 work arrays of size (1+) h2=46 each: not found [it=5, (nr,nl) = (1083,1045)], -> (knew-nl-1, j) = (13, 38) --> mc(rlnorm(92)) = 0.321309 n = 93: ------ mc_C_d(z[1:93], trace_lev=1, scale=F): Median = 1.10834 (not at the border) now allocating 2+5 work arrays of size (1+) h2=47 each: not found [it=5, (nr,nl) = (1121,1077)], -> (knew-nl-1, j) = (27, 44) --> mc(rlnorm(93)) = 0.172696 n = 94: ------ mc_C_d(z[1:94], trace_lev=1, scale=F): Median = 1.10373 (not at the border) now allocating 2+5 work arrays of size (1+) h2=47 each: not found [it=5, (nr,nl) = (1105,1050)], -> (knew-nl-1, j) = (54, 55) --> mc(rlnorm(94)) = 0.309923 n = 95: ------ mc_C_d(z[1:95], trace_lev=1, scale=F): Median = 1.26121 (not at the border) now allocating 2+5 work arrays of size (1+) h2=48 each: not found [it=5, (nr,nl) = (1182,1115)], -> (knew-nl-1, j) = (37, 67) --> mc(rlnorm(95)) = 0.118623 n = 96: ------ mc_C_d(z[1:96], trace_lev=1, scale=F): Median = 1.02721 (not at the border) now allocating 2+5 work arrays of size (1+) h2=48 each: not found [it=5, (nr,nl) = (1155,1110)], -> (knew-nl-1, j) = (42, 45) --> mc(rlnorm(96)) = 0.357886 n = 97: ------ mc_C_d(z[1:97], trace_lev=1, scale=F): Median = 0.74626 (not at the border) now allocating 2+5 work arrays of size (1+) h2=49 each: not found [it=5, (nr,nl) = (1272,1196)], -> (knew-nl-1, j) = (4, 76) --> mc(rlnorm(97)) = 0.606728 n = 98: ------ mc_C_d(z[1:98], trace_lev=1, scale=F): Median = 1.182 (not at the border) now allocating 2+5 work arrays of size (1+) h2=49 each: not found [it=5, (nr,nl) = (1266,1199)], -> (knew-nl-1, j) = (1, 67) --> mc(rlnorm(98)) = 0.027223 n = 99: ------ mc_C_d(z[1:99], trace_lev=1, scale=F): Median = 1.1647 (not at the border) now allocating 2+5 work arrays of size (1+) h2=50 each: not found [it=5, (nr,nl) = (1265,1199)], -> (knew-nl-1, j) = (51, 66) --> mc(rlnorm(99)) = 0.418596 n =100: ------ mc_C_d(z[1:100], trace_lev=1, scale=F): Median = 0.921319 (not at the border) now allocating 2+5 work arrays of size (1+) h2=50 each: not found [it=5, (nr,nl) = (1312,1236)], -> (knew-nl-1, j) = (14, 76) --> mc(rlnorm(100)) = 0.457971 Warning message: In huberize(x, c = c.huberize, warn0 = trace.lev > 0, saveTrim = FALSE) : Qn(x) == 0 and tmad(x, trim=0.0625) == 0 > > allEQ <- function(x,y) all.equal(x,y, tolerance = 1e-12) > > x3 <- c(-2, rep(-1,4), rep(0,6), 2, 2, 2:4) > mcNaive(x3,"h.use") # 1/3 [1] 0.3333333 > mcNaive(x3,"simple")# 0 [1] 0 > > mcComp <- robustbase:::mcComp > mcComp. <- function (x, doScale, + doReflect = FALSE, maxit = 15, eps1 = 1e-13, eps2 = eps1, + trace.lev = 1, ...) { + mcComp(x, doReflect=doReflect, doScale=doScale, + maxit=maxit, eps1=eps1, eps2=eps2, trace.lev=trace.lev, ...) + } > > try( mc(x3, doRefl = FALSE, maxit = 15, trace = 3)) ## "non-convergence" (32-bit) mc_C_d(z[1:16], trace_lev=3, scale=F): Median = 0 (not at the border) x1[] := {x | x_j >= x_eps = 1e-28} has 5 ('j-1') entries 'median-x' {x | -eps < x_i <= eps} has 6 (= 'k') entries now allocating 2+5 work arrays of size (1+) h2=11 each: (h1,h2, nr, knew) = (11,11, 121, 61) it= 1, whimed(*, n= 11)= 0 sum_(p,q)= (67,76); sum_p >= kn it= 2, whimed(*, n= 11)= 1 sum_(p,q)= (0,45); s_p < kn ?<=? s_q: no it= 3, whimed(*, n= 5)= 0.33333 sum_(p,q)= (53,66); s_p < kn ?<=? s_q: TRUE converged in 3 iterations [1] 0.3333333 > str(mcComp.(-x3, doScale=TRUE, trace = 4)) mc_C_d(z[1:16], trace_lev=4, scale=T): Median = -0 (not at the border) x[] has been rescaled (* 1/s) with s = 8 x1[] := {x | x_j >= x_eps = 1e-26} has 5 ('j-1') entries 'median-x' {x | -eps < x_i <= eps} has 6 (= 'k') entries now allocating 2+5 work arrays of size (1+) h2=11 each: (h1,h2, nr, knew) = (11,11, 121, 61) before whimed(): work and iwt, each [0:(11-1)]: 1 1 1 1 1 0 -1 -1 -1 -1 -1 11 11 11 11 11 11 11 11 11 11 11 it= 1, whimed(*, n= 11)= 0 p[1:11]: 10 9 8 7 6 5 0 0 0 0 0 sum= 45 q[1:11]: 12 11 10 9 8 7 2 2 2 1 1 sum= 54 ; s_p < kn ?<=? s_q: no before whimed(): work and iwt, each [0:(10-1)]: -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 1 2 3 4 5 10 10 10 11 11 it= 2, whimed(*, n= 10)= -1 p[1:11]: 11 10 9 8 7 6 5 5 5 5 5 sum= 76 q[1:11]: 12 12 12 12 12 12 12 12 12 12 12 sum= 121 ; sum_p >= kn before whimed(): work and iwt, each [0:(5-1)]: -0.333333 -0.333333 -0.333333 -0.5 -0.6 4 4 4 5 5 it= 3, whimed(*, n= 5)= -0.33333 p[1:11]: 11 10 9 8 7 6 1 1 1 1 0 sum= 55 q[1:11]: 12 11 10 9 8 7 6 6 6 2 2 sum= 68 ; s_p < kn ?<=? s_q: TRUE converged in 3 iterations List of 4 $ medc : num -0.333 $ eps : num [1:2] 1e-13 1e-13 $ iter : int 3 $ converged: logi TRUE > > ### And here is the "real" problem of the whole 'eps' idea: > > x4 <- c(1:5,7,10,15,25, 1e15) ## this is also in mc-strict.R (but differently) > mcNaive(x4,"h.use") # 0.5833333 [1] 0.5833333 > mcNaive(x4,"simple")# == " == 7/12 [1] 0.5833333 > mc(x4) # now ok, == 7/12 [1] 0.5833333 > str(mcComp.( x4, doScale=TRUE, trace= 3))## = 0: conv.quickly mc_C_d(z[1:10], trace_lev=3, scale=T): Median = 6 (not at the border) x[] has been rescaled (* 1/s) with s = 2e+15 x1[] := {x | x_j >= x_eps = 1.03e-26} has 5 ('j-1') entries 'median-x' {x | -eps < x_i <= eps} has 0 (= 'k') entries now allocating 2+5 work arrays of size (1+) h2=5 each: (h1,h2, nr, knew) = (5,5, 25, 13) it= 1, whimed(*, n= 5)= 0 sum_(p,q)= (11,15); s_p < kn ?<=? s_q: TRUE converged in 1 iterations List of 4 $ medc : num 0 $ eps : num [1:2] 1e-13 1e-13 $ iter : int 1 $ converged: logi TRUE > str(mcComp.(-x4, doScale=TRUE, trace= 3)) # *not* conv! mc_C_d(z[1:10], trace_lev=3, scale=T): Median = -6 (not at the border) x[] has been rescaled (* 1/s) with s = 2e+15 x1[] := {x | x_j >= x_eps = 1.03e-26} has 5 ('j-1') entries 'median-x' {x | -eps < x_i <= eps} has 0 (= 'k') entries now allocating 2+5 work arrays of size (1+) h2=5 each: (h1,h2, nr, knew) = (5,5, 25, 13) it= 1, whimed(*, n= 5)= 0 sum_(p,q)= (10,14); s_p < kn ?<=? s_q: TRUE converged in 1 iterations List of 4 $ medc : num 0 $ eps : num [1:2] 1e-13 1e-13 $ iter : int 1 $ converged: logi TRUE > > if(FALSE) { ## a much more extreme eps seems the cure: + str(mcComp.( x4, doScale=TRUE, eps1=.Machine$double.xmin)) + str(mcComp.(-x4, doScale=TRUE, eps1=.Machine$double.xmin)) + } > > ### Examples "like x3" (non-convergence on 32-bit) > xClist <- list(## length 5 : + c(0,0, 1, 3,3), + c(0,0, 1, 3:4), + ## + ## length 6 : + c(0,0, 2, 4:6), c(0,0, 2, 3, 4, 6), c(0,0, 4, 5, 7, 8), + c(0, 1,1, 2, 6,6), c(0, 3,3, 4, 6,6), + c(0,0, 1, 3, 5,5), + c(0,0, 1, 4,4, 6), c(0,0, 1, 4,4, 7), c(0,0, 1, 5,5, 6), + + ## n = 9 : + c(-2,-2,-2, -1,-1, 1,1,1, 3), + c(-3,-1,-1, 0, 1, 2,2,2,2) + ) > > rlis <- lapply(xClist, function(x) + try(mc(x, maxit=9), silent=TRUE)) > table(sapply(rlis, class)) numeric 13 > ## if(R.version$arch == "x86_64") { > print(unlist(rlis)) [1] 0.3333333 0.3333333 0.0000000 0.0000000 -0.1250000 0.5000000 [7] 0.0000000 0.2000000 0.0000000 0.0000000 0.0000000 0.3333333 [13] -0.3333333 > rl2 <- lapply(xClist, mc, maxit=9) ##, eps1= 1e-10) > stopifnot(allEQ(rlis, rl2), + allEQ(unlist(rlis), sapply(xClist, mcNaive))) > ##} > > > set.seed(47) > for(n in 3:60) { + cat(" ") + x <- round(2 * rnorm(n)) # many ties, often at median -- not converging + ## if(R.version$arch == "x86_64") { + ## non-convergence BUG rarely and only on 32-bit (solved, MK) + mc1 <- mc(x) + mc2 <- mcNaive(x, method = "simple") + mc3 <- mcNaive(x, method = "h.use") + stopifnot(allEQ(mc1, mc3)) + if(mc2 != mc3) { + cat("d"); if(!isTRUE(allEQ(mc2, mc3))) cat("!!") + } + ## } + cat(".") + }; cat("\n") . . . . d!!. . . . d!!. d!!. . . . d!!. . d!!. . . . d!!. . . . . d!!. d!!. d!!. . . d!!. . d!!. d!!. . . . . . d!!. . d!!. . d!!. . . . d!!. d!!. . . . . . d!!. d!!. . . . > > > cat('Time elapsed: ', proc.time(),'\n') # for ``statistical reasons'' Time elapsed: 0.59 0.07 0.67 NA NA > > quit('no') > proc.time() user system elapsed 0.59 0.07 0.67