R Under development (unstable) (2024-08-15 r87022 ucrt) -- "Unsuffered Consequences"
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> 
> #### 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:  0.62 0.07 0.68 NA NA 
> 
> quit('no')
> proc.time()
   user  system elapsed 
   0.62    0.07    0.68