Back to Multiple platform build/check report for BioC 3.18: simplified long |
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This page was generated on 2023-12-05 11:37:12 -0500 (Tue, 05 Dec 2023).
Hostname | OS | Arch (*) | R version | Installed pkgs |
---|---|---|---|---|
nebbiolo2 | Linux (Ubuntu 22.04.2 LTS) | x86_64 | 4.3.2 Patched (2023-11-13 r85521) -- "Eye Holes" | 4688 |
palomino4 | Windows Server 2022 Datacenter | x64 | 4.3.2 (2023-10-31 ucrt) -- "Eye Holes" | 4421 |
lconway | macOS 12.7.1 Monterey | x86_64 | 4.3.2 Patched (2023-11-01 r85457) -- "Eye Holes" | 4440 |
Click on any hostname to see more info about the system (e.g. compilers) (*) as reported by 'uname -p', except on Windows and Mac OS X |
Package 1971/2266 | Hostname | OS / Arch | INSTALL | BUILD | CHECK | BUILD BIN | ||||||||
singleCellTK 2.12.0 (landing page) Yichen Wang
| nebbiolo2 | Linux (Ubuntu 22.04.2 LTS) / x86_64 | OK | OK | ERROR | |||||||||
palomino4 | Windows Server 2022 Datacenter / x64 | OK | OK | ERROR | OK | |||||||||
lconway | macOS 12.7.1 Monterey / x86_64 | OK | OK | ERROR | OK | |||||||||
kjohnson1 | macOS 13.6.1 Ventura / arm64 | see weekly results here | ||||||||||||
To the developers/maintainers of the singleCellTK package: - Allow up to 24 hours (and sometimes 48 hours) for your latest push to git@git.bioconductor.org:packages/singleCellTK.git to reflect on this report. See Troubleshooting Build Report for more information. - Use the following Renviron settings to reproduce errors and warnings. - If 'R CMD check' started to fail recently on the Linux builder(s) over a missing dependency, add the missing dependency to 'Suggests:' in your DESCRIPTION file. See Renviron.bioc for more information. |
Package: singleCellTK |
Version: 2.12.0 |
Command: set _R_CHECK_FORCE_SUGGESTS_=0&& F:\biocbuild\bbs-3.18-bioc\R\bin\R.exe CMD check --no-multiarch --install=check:singleCellTK.install-out.txt --library=F:\biocbuild\bbs-3.18-bioc\R\library --no-vignettes --timings singleCellTK_2.12.0.tar.gz |
StartedAt: 2023-12-05 06:08:24 -0500 (Tue, 05 Dec 2023) |
EndedAt: 2023-12-05 06:16:23 -0500 (Tue, 05 Dec 2023) |
EllapsedTime: 479.1 seconds |
RetCode: 1 |
Status: ERROR |
CheckDir: singleCellTK.Rcheck |
Warnings: NA |
############################################################################## ############################################################################## ### ### Running command: ### ### set _R_CHECK_FORCE_SUGGESTS_=0&& F:\biocbuild\bbs-3.18-bioc\R\bin\R.exe CMD check --no-multiarch --install=check:singleCellTK.install-out.txt --library=F:\biocbuild\bbs-3.18-bioc\R\library --no-vignettes --timings singleCellTK_2.12.0.tar.gz ### ############################################################################## ############################################################################## * using log directory 'F:/biocbuild/bbs-3.18-bioc/meat/singleCellTK.Rcheck' * using R version 4.3.2 (2023-10-31 ucrt) * using platform: x86_64-w64-mingw32 (64-bit) * R was compiled by gcc.exe (GCC) 12.3.0 GNU Fortran (GCC) 12.3.0 * running under: Windows Server 2022 x64 (build 20348) * using session charset: UTF-8 * using option '--no-vignettes' * checking for file 'singleCellTK/DESCRIPTION' ... OK * checking extension type ... Package * this is package 'singleCellTK' version '2.12.0' * package encoding: UTF-8 * checking package namespace information ... OK * checking package dependencies ... OK * checking if this is a source package ... OK * checking if there is a namespace ... OK * checking for hidden files and directories ... OK * checking for portable file names ... OK * checking whether package 'singleCellTK' can be installed ... OK * checking installed package size ... NOTE installed size is 6.7Mb sub-directories of 1Mb or more: extdata 1.5Mb shiny 2.9Mb * checking package directory ... OK * checking 'build' directory ... OK * checking DESCRIPTION meta-information ... OK * checking top-level files ... OK * checking for left-over files ... OK * checking index information ... OK * checking package subdirectories ... OK * checking R files for non-ASCII characters ... OK * checking R files for syntax errors ... OK * checking whether the package can be loaded ... OK * checking whether the package can be loaded with stated dependencies ... OK * checking whether the package can be unloaded cleanly ... OK * checking whether the namespace can be loaded with stated dependencies ... OK * checking whether the namespace can be unloaded cleanly ... OK * checking startup messages can be suppressed ... OK * checking dependencies in R code ... OK * checking S3 generic/method consistency ... OK * checking replacement functions ... OK * checking foreign function calls ... OK * checking R code for possible problems ... OK * checking Rd files ... OK * checking Rd metadata ... OK * checking Rd cross-references ... OK * checking for missing documentation entries ... OK * checking for code/documentation mismatches ... OK * checking Rd \usage sections ... OK * checking Rd contents ... OK * checking for unstated dependencies in examples ... OK * checking contents of 'data' directory ... OK * checking data for non-ASCII characters ... OK * checking data for ASCII and uncompressed saves ... OK * checking R/sysdata.rda ... OK * checking files in 'vignettes' ... OK * checking examples ... ERROR Running examples in 'singleCellTK-Ex.R' failed The error most likely occurred in: > base::assign(".ptime", proc.time(), pos = "CheckExEnv") > ### Name: convertSeuratToSCE > ### Title: convertSeuratToSCE Converts the input seurat object to a sce > ### object > ### Aliases: convertSeuratToSCE > > ### ** Examples > > data(scExample, package = "singleCellTK") > seurat <- convertSCEToSeurat(sce) > sce <- convertSeuratToSCE(seurat) Error in normarg_assays(assays, as.null.if.no.assay = TRUE) : no slot of name "counts" for this object of class "Assay5" Calls: convertSeuratToSCE ... SingleCellExperiment -> SummarizedExperiment -> normarg_assays Execution halted * checking for unstated dependencies in 'tests' ... OK * checking tests ... Running 'spelling.R' Running 'testthat.R' ERROR Running the tests in 'tests/testthat.R' failed. Last 13 lines of output: 2. └─singleCellTK:::.updateAssaySCE(...) 3. └─methods::slot(...) ── Error ('test-trajectory.R:7:1'): (code run outside of `test_that()`) ──────── Error in `methods::slot(Seurat::GetAssay(seuratObject, seuratAssaySlot), seuratDataSlot)`: no slot of name "data" for this object of class "Assay5" Backtrace: ▆ 1. └─singleCellTK::runNormalization(...) at test-trajectory.R:7:1 2. └─singleCellTK::runSeuratNormalizeData(...) 3. └─singleCellTK:::.updateAssaySCE(...) 4. └─methods::slot(...) [ FAIL 9 | WARN 24 | SKIP 0 | PASS 121 ] Error: Test failures Execution halted * checking for unstated dependencies in vignettes ... OK * checking package vignettes in 'inst/doc' ... OK * checking running R code from vignettes ... SKIPPED * checking re-building of vignette outputs ... SKIPPED * checking PDF version of manual ... OK * DONE Status: 2 ERRORs, 1 NOTE See 'F:/biocbuild/bbs-3.18-bioc/meat/singleCellTK.Rcheck/00check.log' for details.
singleCellTK.Rcheck/00install.out
############################################################################## ############################################################################## ### ### Running command: ### ### F:\biocbuild\bbs-3.18-bioc\R\bin\R.exe CMD INSTALL singleCellTK ### ############################################################################## ############################################################################## * installing to library 'F:/biocbuild/bbs-3.18-bioc/R/library' * installing *source* package 'singleCellTK' ... ** using staged installation ** R ** data ** exec ** inst ** byte-compile and prepare package for lazy loading ** help *** installing help indices ** building package indices ** installing vignettes ** testing if installed package can be loaded from temporary location ** testing if installed package can be loaded from final location ** testing if installed package keeps a record of temporary installation path * DONE (singleCellTK)
singleCellTK.Rcheck/tests/spelling.Rout
R version 4.3.2 (2023-10-31 ucrt) -- "Eye Holes" Copyright (C) 2023 The R Foundation for Statistical Computing Platform: x86_64-w64-mingw32/x64 (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. > if (requireNamespace('spelling', quietly = TRUE)) + spelling::spell_check_test(vignettes = TRUE, error = FALSE, skip_on_cran = TRUE) NULL > > proc.time() user system elapsed 0.15 0.04 0.20
singleCellTK.Rcheck/tests/testthat.Rout.fail
R version 4.3.2 (2023-10-31 ucrt) -- "Eye Holes" Copyright (C) 2023 The R Foundation for Statistical Computing Platform: x86_64-w64-mingw32/x64 (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. > library(testthat) > library(singleCellTK) Loading required package: SummarizedExperiment Loading required package: MatrixGenerics Loading required package: matrixStats Attaching package: 'MatrixGenerics' The following objects are masked from 'package:matrixStats': colAlls, colAnyNAs, colAnys, colAvgsPerRowSet, colCollapse, colCounts, colCummaxs, colCummins, colCumprods, colCumsums, colDiffs, colIQRDiffs, colIQRs, colLogSumExps, colMadDiffs, colMads, colMaxs, colMeans2, colMedians, colMins, colOrderStats, colProds, colQuantiles, colRanges, colRanks, colSdDiffs, colSds, colSums2, colTabulates, colVarDiffs, colVars, colWeightedMads, colWeightedMeans, colWeightedMedians, colWeightedSds, colWeightedVars, rowAlls, rowAnyNAs, rowAnys, rowAvgsPerColSet, rowCollapse, rowCounts, rowCummaxs, rowCummins, rowCumprods, rowCumsums, rowDiffs, rowIQRDiffs, rowIQRs, rowLogSumExps, rowMadDiffs, rowMads, rowMaxs, rowMeans2, rowMedians, rowMins, rowOrderStats, rowProds, rowQuantiles, rowRanges, rowRanks, rowSdDiffs, rowSds, rowSums2, rowTabulates, rowVarDiffs, rowVars, rowWeightedMads, rowWeightedMeans, rowWeightedMedians, rowWeightedSds, rowWeightedVars Loading required package: GenomicRanges Loading required package: stats4 Loading required package: BiocGenerics Attaching package: 'BiocGenerics' The following objects are masked from 'package:stats': IQR, mad, sd, var, xtabs The following objects are masked from 'package:base': Filter, Find, Map, Position, Reduce, anyDuplicated, aperm, append, as.data.frame, basename, cbind, colnames, dirname, do.call, duplicated, eval, evalq, get, grep, grepl, intersect, is.unsorted, lapply, mapply, match, mget, order, paste, pmax, pmax.int, pmin, pmin.int, rank, rbind, rownames, sapply, setdiff, sort, table, tapply, union, unique, unsplit, which.max, which.min Loading required package: S4Vectors Attaching package: 'S4Vectors' The following object is masked from 'package:utils': findMatches The following objects are masked from 'package:base': I, expand.grid, unname Loading required package: IRanges Attaching package: 'IRanges' The following object is masked from 'package:grDevices': windows Loading required package: GenomeInfoDb Loading required package: Biobase Welcome to Bioconductor Vignettes contain introductory material; view with 'browseVignettes()'. To cite Bioconductor, see 'citation("Biobase")', and for packages 'citation("pkgname")'. Attaching package: 'Biobase' The following object is masked from 'package:MatrixGenerics': rowMedians The following objects are masked from 'package:matrixStats': anyMissing, rowMedians Loading required package: SingleCellExperiment Loading required package: DelayedArray Loading required package: Matrix Attaching package: 'Matrix' The following object is masked from 'package:S4Vectors': expand Loading required package: S4Arrays Loading required package: abind Attaching package: 'S4Arrays' The following object is masked from 'package:abind': abind The following object is masked from 'package:base': rowsum Loading required package: SparseArray Attaching package: 'DelayedArray' The following objects are masked from 'package:base': apply, scale, sweep Attaching package: 'singleCellTK' The following object is masked from 'package:BiocGenerics': plotPCA > > test_check("singleCellTK") Found 2 batches Using null model in ComBat-seq. Adjusting for 0 covariate(s) or covariate level(s) Estimating dispersions Fitting the GLM model Shrinkage off - using GLM estimates for parameters Adjusting the data Found 2 batches Using null model in ComBat-seq. Adjusting for 1 covariate(s) or covariate level(s) Estimating dispersions Fitting the GLM model Shrinkage off - using GLM estimates for parameters Adjusting the data Performing log-normalization 0% 10 20 30 40 50 60 70 80 90 100% [----|----|----|----|----|----|----|----|----|----| **************************************************| Calculating gene variances 0% 10 20 30 40 50 60 70 80 90 100% [----|----|----|----|----|----|----|----|----|----| **************************************************| Calculating feature variances of standardized and clipped values 0% 10 20 30 40 50 60 70 80 90 100% [----|----|----|----|----|----|----|----|----|----| **************************************************| Uploading data to Enrichr... Done. Querying HDSigDB_Human_2021... Done. Parsing results... Done. Performing log-normalization 0% 10 20 30 40 50 60 70 80 90 100% [----|----|----|----|----|----|----|----|----|----| **************************************************| Estimating GSVA scores for 34 gene sets. Estimating ECDFs with Gaussian kernels | | | 0% | |== | 3% | |==== | 6% | |====== | 9% | |======== | 12% | |========== | 15% | |============ | 18% | |============== | 21% | |================ | 24% | |=================== | 26% | |===================== | 29% | |======================= | 32% | |========================= | 35% | |=========================== | 38% | |============================= | 41% | |=============================== | 44% | |================================= | 47% | |=================================== | 50% | |===================================== | 53% | |======================================= | 56% | |========================================= | 59% | |=========================================== | 62% | |============================================= | 65% | |=============================================== | 68% | |================================================= | 71% | |=================================================== | 74% | |====================================================== | 76% | |======================================================== | 79% | |========================================================== | 82% | |============================================================ | 85% | |============================================================== | 88% | |================================================================ | 91% | |================================================================== | 94% | |==================================================================== | 97% | |======================================================================| 100% Error in fitdistr(mahalanobis.sq.null[nonzero.values], "gamma", lower = 0.01) : optimization failed Estimating GSVA scores for 2 gene sets. Estimating ECDFs with Gaussian kernels | | | 0% | |=================================== | 50% | |======================================================================| 100% Performing log-normalization 0% 10 20 30 40 50 60 70 80 90 100% [----|----|----|----|----|----|----|----|----|----| **************************************************| Calculating gene variances 0% 10 20 30 40 50 60 70 80 90 100% [----|----|----|----|----|----|----|----|----|----| **************************************************| Calculating feature variances of standardized and clipped values 0% 10 20 30 40 50 60 70 80 90 100% [----|----|----|----|----|----|----|----|----|----| **************************************************| | | | 0% | |======================================================================| 100% Performing log-normalization 0% 10 20 30 40 50 60 70 80 90 100% [----|----|----|----|----|----|----|----|----|----| **************************************************| Performing log-normalization 0% 10 20 30 40 50 60 70 80 90 100% [----|----|----|----|----|----|----|----|----|----| **************************************************| [ FAIL 9 | WARN 24 | SKIP 0 | PASS 121 ] ══ Failed tests ════════════════════════════════════════════════════════════════ ── Error ('test-batchCorrection.R:13:3'): Testing Limma Batch Correction ─────── Error in `irlba::irlba(L, nv = n, nu = 0, maxit = iters)`: function 'as_cholmod_sparse' not provided by package 'Matrix' Backtrace: ▆ 1. └─singleCellTK::plotBatchCorrCompare(sceBatches, "LIMMA") at test-batchCorrection.R:13:3 2. └─singleCellTK::runUMAP(...) 3. ├─withr::with_seed(...) 4. │ └─withr::with_preserve_seed(...) 5. ├─scater::calculateUMAP(...) 6. └─scater::calculateUMAP(...) 7. └─scater (local) .local(x, ...) 8. └─scater:::.calculate_umap(...) 9. ├─base::do.call(uwot::umap, args) 10. └─uwot (local) `<fn>`(...) 11. └─uwot:::uwot(...) 12. └─uwot:::spectral_init(V, ndim = n_components, verbose = verbose) 13. └─uwot:::irlba_tsvd_normalized_laplacian_init(A, ndim, verbose = FALSE) 14. └─uwot:::irlba_spectral_tsvd(L, ndim + 1) 15. ├─base::suppressWarnings(...) 16. │ └─base::withCallingHandlers(...) 17. └─irlba::irlba(L, nv = n, nu = 0, maxit = iters) ── Error ('test-clustering.R:7:1'): (code run outside of `test_that()`) ──────── Error in `(function (A, nv = 5, nu = nv, maxit = 1000, work = nv + 7, reorth = TRUE, tol = 1e-05, v = NULL, right_only = FALSE, verbose = FALSE, scale = NULL, center = NULL, shift = NULL, mult = NULL, fastpath = TRUE, svtol = tol, smallest = FALSE, ...) { ropts <- options(warn = 1) mflag <- new.env() mflag$flag <- FALSE on.exit(options(ropts)) interchange <- FALSE eps <- .Machine$double.eps mcall <- as.list(match.call()) random <- eval(mcall[["rng"]]) if (is.null(random)) random <- rnorm maxritz <- eval(mcall[["maxritz"]]) if (is.null(maxritz)) maxritz <- 3 eps2 <- eval(mcall[["invariant_subspace_tolerance"]]) if (is.null(eps2)) eps2 <- eps^(4/5) du <- eval(mcall[["du"]]) dv <- eval(mcall[["dv"]]) ds <- eval(mcall[["ds"]]) deflate <- is.null(du) + is.null(ds) + is.null(dv) if (is.logical(scale) && !scale) scale <- NULL if (is.logical(shift) && !shift) shift <- NULL if (is.logical(center) && !center) center <- NULL if (smallest) fastpath <- FALSE if (any(dim(A) > 2^32 - 1)) fastpath <- FALSE if (deflate == 3) { deflate <- FALSE } else if (deflate == 0) { deflate <- TRUE warning("The deflation options have been deprecated. Please modify your code to not use them.") if (length(ds) > 1) stop("deflation limited to one dimension") if (!is.null(dim(du))) du <- du[, 1] if (!is.null(dim(dv))) dv <- dv[, 1] } else stop("all three du ds dv parameters must be specified for deflation") if (!is.null(center)) { if (is.logical(center) && center) center <- colMeans(A) if (deflate) stop("the center parameter can't be specified together with deflation parameters") if (length(center) != ncol(A)) stop("center must be a vector of length ncol(A)") if (fastpath && !right_only) du <- NULL else du <- 1 ds <- 1 dv <- center deflate <- TRUE } if ("integer" == typeof(A)) A <- A + 0 iscomplex <- is.complex(A) m <- nrow(A) n <- ncol(A) if (is.null(nu)) nu <- nv if (!is.null(mult) && deflate) stop("the mult parameter can't be specified together with deflation parameters") missingmult <- FALSE if (is.null(mult)) { missingmult <- TRUE mult <- `%*%` } k <- max(nu, nv) if (k <= 0) stop("max(nu, nv) must be positive") if (k > min(m - 1, n - 1)) stop("max(nu, nv) must be strictly less than min(nrow(A), ncol(A))") if (k >= 0.5 * min(m, n)) { warning("You're computing too large a percentage of total singular values, use a standard svd instead.") } if (work <= 1) stop("work must be greater than 1") if (tol < 0) stop("tol must be non-negative") if (maxit <= 0) stop("maxit must be positive") if (work <= k && !right_only) work <- k + 1 if (work >= min(n, m)) { work <- min(n, m) if (work <= k) { k <- work - 1 warning("Requested subspace dimension too large! Reduced to ", k) } } k_org <- k w_dim <- work if (right_only) { w_dim <- 1 fastpath <- FALSE } if (n > m && smallest) { interchange <- TRUE temp <- m m <- n n <- temp } if (verbose) { message("Working dimension size ", work) } if (min(m, n) < 6) { A <- as.matrix(A) if (verbose) message("Tiny problem detected, using standard `svd` function.") if (!is.null(scale)) { A <- sweep(A, 2, scale, "/") dv <- dv/scale } if (!is.null(shift)) A <- A + diag(shift, nrow(A), ncol(A)) if (deflate) { if (is.null(du)) du <- rep(1, nrow(A)) A <- A - (ds * du) %*% t(dv) } s <- svd(A) if (smallest) { return(list(d = tail(s$d, k), u = s$u[, tail(seq(ncol(s$u)), k), drop = FALSE], v = s$v[, tail(seq(ncol(s$v), k)), drop = FALSE], iter = 0, mprod = 0)) } return(list(d = s$d[1:k], u = s$u[, 1:nu, drop = FALSE], v = s$v[, 1:nv, drop = FALSE], iter = 0, mprod = 0)) } if (deflate) fastpath <- fastpath && is.null(du) fastpath <- fastpath && (("Matrix" %in% attributes(class(A)) && ("dgCMatrix" %in% class(A))) || "matrix" %in% class(A)) if (fastpath && missingmult && !iscomplex && !right_only) { RESTART <- 0L RV <- RW <- RS <- NULL if (is.null(v)) { v <- random(n) if (verbose) message("Initializing starting vector v with samples from standard normal distribution.\nUse `set.seed` first for reproducibility.") } else if (is.list(v)) { if (is.null(v$v) || is.null(v$d) || is.null(v$u)) stop("restart requires left and right singular vectors") if (max(nu, nv) <= min(ncol(v$u), ncol(v$v))) return(v) RESTART <- as.integer(length(v$d)) RND <- random(n) RND <- orthog(RND, v$v) RV <- cbind(v$v, RND/norm2(RND)) RW <- v$u RS <- v$d v <- NULL } SP <- ifelse(is.matrix(A), 0L, 1L) if (verbose) message("irlba: using fast C implementation") SCALE <- NULL SHIFT <- NULL CENTER <- NULL if (!is.null(scale)) { if (length(scale) != ncol(A)) stop("scale length must match number of matrix columns") SCALE <- as.double(scale) } if (!is.null(shift)) { if (length(shift) != 1) stop("shift length must be 1") SHIFT <- as.double(shift) } if (deflate) { if (length(center) != ncol(A)) stop("the centering vector length must match the number of matrix columns") CENTER <- as.double(center) } ans <- .Call(C_IRLB, A, as.integer(k), as.double(v), as.integer(work), as.integer(maxit), as.double(tol), as.double(eps2), as.integer(SP), as.integer(RESTART), RV, RW, RS, SCALE, SHIFT, CENTER, as.double(svtol)) if (ans[[6]] == 0 || ans[[6]] == -2) { names(ans) <- c("d", "u", "v", "iter", "mprod", "err") ans$u <- matrix(head(ans$u, m * nu), nrow = m, ncol = nu) ans$v <- matrix(head(ans$v, n * nv), nrow = n, ncol = nv) if (tol * ans$d[1] < eps) warning("convergence criterion below machine epsilon") if (ans[[6]] == -2) warning("did not converge--results might be invalid!; try increasing work or maxit") return(ans[-6]) } errors <- c("invalid dimensions", "didn't converge", "out of memory", "starting vector near the null space", "linear dependency encountered") erridx <- abs(ans[[6]]) if (erridx > 1) warning("fast code path error ", errors[erridx], "; re-trying with fastpath=FALSE.", immediate. = TRUE) } W <- matrix(0, m, w_dim) F <- matrix(0, n, 1) restart <- FALSE if (is.list(v)) { if (is.null(v$v) || is.null(v$d) || is.null(v$u)) stop("restart requires left and right singular vectors") if (max(nu, nv) <= min(ncol(v$u), ncol(v$v))) return(v) right_only <- FALSE W[, 1:ncol(v$u)] <- v$u d <- v$d V <- matrix(0, n, work) V[, 1:ncol(v$v)] <- v$v restart <- TRUE } else if (is.null(v)) { V <- matrix(0, n, work) V[, 1] <- random(n) } else { V <- matrix(0, n, work) V[1:length(v)] <- v } B <- NULL Bsz <- NULL eps23 <- eps^(2/3) iter <- 1 mprod <- 0 R_F <- NULL sqrteps <- sqrt(eps) Smax <- 1 Smin <- NULL lastsv <- c() if (restart) { B <- cbind(diag(d), 0) k <- length(d) F <- random(n) F <- orthog(F, V[, 1:k]) V[, k + 1] <- F/norm2(F) } if (deflate && is.null(du)) du <- 1 while (iter <= maxit) { j <- 1 if (iter == 1 && !restart) { V[, 1] <- V[, 1]/norm2(V[, 1]) } else j <- k + 1 j_w <- ifelse(w_dim > 1, j, 1) VJ <- V[, j] if (!is.null(scale)) { VJ <- VJ/scale } if (interchange) avj <- mult(VJ, A) else avj <- mult(A, VJ) W[, j_w] <- as.vector(avj) mprod <- mprod + 1 if (!is.null(shift)) { W[, j_w] <- W[, j_w] + shift * VJ } if (deflate) { W[, j_w] <- W[, j_w] - ds * drop(cross(dv, VJ)) * du } if (iter != 1 && w_dim > 1 && reorth) { W[, j] <- orthog(W[, j, drop = FALSE], W[, 1:(j - 1), drop = FALSE]) } S <- norm2(W[, j_w, drop = FALSE]) if (is.na(S) || S < eps2 && j == 1) stop("starting vector near the null space") if (is.na(S) || S < eps2) { if (verbose) message_once("invariant subspace found", flag = mflag) W[, j_w] <- random(nrow(W)) if (w_dim > 1) W[, j] <- orthog(W[, j], W[, 1:(j - 1)]) W[, j_w] <- W[, j_w]/norm2(W[, j_w]) S <- 0 } else W[, j_w] <- W[, j_w]/S while (j <= work) { j_w <- ifelse(w_dim > 1, j, 1) if (iscomplex) { if (interchange) F <- Conj(t(drop(mult(A, Conj(drop(W[, j_w])))))) else F <- Conj(t(drop(mult(Conj(drop(W[, j_w])), A)))) } else { if (interchange) F <- t(drop(mult(A, drop(W[, j_w])))) else F <- t(drop(mult(drop(W[, j_w]), A))) } if (!is.null(shift)) F <- F + shift * W[, j_w] if (!is.null(scale)) F <- F/scale if (deflate) { sub <- sum(W[, j_w]) * dv if (!is.null(scale)) sub <- sub/scale F <- F - sub } mprod <- mprod + 1 F <- drop(F - S * V[, j]) F <- orthog(F, V[, 1:j, drop = FALSE]) if (j + 1 <= work) { R <- norm2(F) if (R < eps2) { if (verbose) message_once("invariant subspace found", flag = mflag) F <- matrix(random(dim(V)[1]), dim(V)[1], 1) F <- orthog(F, V[, 1:j, drop = FALSE]) V[, j + 1] <- F/norm2(F) R <- 0 } else V[, j + 1] <- F/R if (is.null(B)) B <- cbind(S, R) else B <- rbind(cbind(B, 0), c(rep(0, ncol(B) - 1), S, R)) jp1_w <- ifelse(w_dim > 1, j + 1, 1) w_old <- W[, j_w] VJP1 <- V[, j + 1] if (!is.null(scale)) { VJP1 <- VJP1/scale } if (interchange) W[, jp1_w] <- drop(mult(drop(VJP1), A)) else W[, jp1_w] <- drop(mult(A, drop(VJP1))) mprod <- mprod + 1 if (!is.null(shift)) { W[, jp1_w] <- W[, jp1_w] + shift * VJP1 } if (deflate) { W[, jp1_w] <- W[, jp1_w] - ds * drop(cross(dv, VJP1)) * du } W[, jp1_w] <- W[, jp1_w] - R * w_old if (reorth && w_dim > 1) W[, j + 1] <- orthog(W[, j + 1], W[, 1:j]) S <- norm2(W[, jp1_w]) if (S < eps2) { if (verbose) message_once("invariant subspace found", flag = mflag) W[, jp1_w] <- random(nrow(W)) if (w_dim > 1) W[, j + 1] <- orthog(W[, j + 1], W[, 1:j]) W[, jp1_w] <- W[, jp1_w]/norm2(W[, jp1_w]) S <- 0 } else W[, jp1_w] <- W[, jp1_w]/S } else { B <- rbind(B, c(rep(0, j - 1), S)) } j <- j + 1 } Bsz <- nrow(B) R_F <- norm2(F) F <- F/R_F Bsvd <- svd(B) if (iter == 1) { Smax <- Bsvd$d[1] Smin <- Bsvd$d[Bsz] } else { Smax <- max(Smax, Bsvd$d[1]) Smin <- min(Smin, Bsvd$d[Bsz]) } Smax <- max(eps23, Smax) if (!reorth && Smin/Smax < sqrteps) { warning("The matrix is ill-conditioned. Basis will be reorthogonalized.") reorth <- TRUE } if (smallest) { jj <- seq(ncol(Bsvd$u), 1, by = -1) Bsvd$u <- Bsvd$u[, jj] Bsvd$d <- Bsvd$d[jj] Bsvd$v <- Bsvd$v[, jj] } R <- R_F * Bsvd$u[Bsz, , drop = FALSE] ct <- convtests(Bsz, tol, k_org, Bsvd, abs(R), k, Smax, lastsv, svtol, maxritz, work, S) if (verbose) { message("iter= ", iter, ", mprod= ", mprod, ", sv[", k_org, "]=", sprintf("%.2e", Bsvd$d[k_org]), ", %change=", sprintf("%.2e", (Bsvd$d[k_org] - lastsv[k_org])/Bsvd$d[k_org]), ", k=", ct$k) } lastsv <- Bsvd$d k <- ct$k if (ct$converged) break if (iter >= maxit) break if (smallest && (Smin/Smax > sqrteps)) { Bsvd2.d <- Bsvd$d Bsvd2.d <- diag(Bsvd2.d, nrow = length(Bsvd2.d)) Bsvd2 <- svd(cbind(Bsvd2.d, t(R))) jj <- seq(ncol(Bsvd2$u), 1, by = -1) Bsvd2$u <- Bsvd2$u[, jj] Bsvd2$d <- Bsvd2$d[jj] Bsvd2$v <- Bsvd2$v[, jj] Bsvd$d <- Bsvd2$d Bsvd$u <- Bsvd$u %*% Bsvd2$u Bsvd$v <- cbind(rbind(Bsvd$v, rep(0, Bsz)), c(rep(0, Bsz), 1)) %*% Bsvd2$v V_B_last <- Bsvd$v[Bsz + 1, 1:k] s <- R_F * solve(B, cbind(c(rep(0, Bsz - 1), 1))) Bsvd$v <- Bsvd$v[1:Bsz, , drop = FALSE] + s %*% Bsvd$v[Bsz + 1, ] qrv <- qr(cbind(rbind(Bsvd$v[, 1:k], 0), rbind(-s, 1))) Bsvd$v <- qr.Q(qrv) R <- qr.R(qrv) V[, 1:(k + 1)] <- cbind(V, F) %*% Bsvd$v UT <- t(R[1:(k + 1), 1:k] + R[, k + 1] %*% rbind(V_B_last)) B <- diag(Bsvd$d[1:k], nrow = k) %*% (UT * upper.tri(UT, diag = TRUE))[1:k, 1:(k + 1)] } else { V[, 1:(k + dim(F)[2])] <- cbind(V[, 1:(dim(Bsvd$v)[1]), drop = FALSE] %*% Bsvd$v[, 1:k], F) B <- cbind(diag(Bsvd$d[1:k], nrow = k), R[1:k]) } if (w_dim > 1) { W[, 1:k] <- W[, 1:(dim(Bsvd$u)[1]), drop = FALSE] %*% Bsvd$u[, 1:k] } iter <- iter + 1 } if (!ct$converged) warning("did not converge--results might be invalid!; try increasing maxit or work") d <- Bsvd$d[1:k_org] if (!right_only) { u <- W[, 1:(dim(Bsvd$u)[1]), drop = FALSE] %*% Bsvd$u[, 1:k_org, drop = FALSE] } v <- V[, 1:(dim(Bsvd$v)[1]), drop = FALSE] %*% Bsvd$v[, 1:k_org, drop = FALSE] if (smallest) { reverse <- seq(length(d), 1) d <- d[reverse] if (!right_only) u <- u[, reverse] v <- v[, reverse] } if (tol * d[1] < eps) warning("convergence criterion below machine epsilon") if (right_only) return(list(d = d, v = v[, 1:nv, drop = FALSE], iter = iter, mprod = mprod)) return(list(d = d, u = u[, 1:nu, drop = FALSE], v = v[, 1:nv, drop = FALSE], iter = iter, mprod = mprod)) })(work = 57, nu = 50, nv = 50, A = new("dgCMatrix", i = c(0L, 2L, 5L, 6L, 7L, 8L, 12L, 13L, 15L, 16L, 18L, 19L, 21L, 22L, 24L, 26L, 27L, 28L, 29L, 31L, 33L, 34L, 35L, 36L, 37L, 38L, 39L, 42L, 43L, 45L, 46L, 47L, 48L, 49L, 50L, 52L, 53L, 55L, 56L, 58L, 61L, 63L, 65L, 71L, 72L, 73L, 74L, 77L, 79L, 80L, 81L, 82L, 83L, 84L, 86L, 88L, 89L, 90L, 91L, 93L, 98L, 100L, 101L, 102L, 103L, 108L, 109L, 110L, 111L, 114L, 115L, 116L, 118L, 120L, 121L, 122L, 123L, 124L, 126L, 127L, 128L, 129L, 130L, 131L, 134L, 135L, 136L, 139L, 140L, 141L, 142L, 144L, 147L, 149L, 152L, 153L, 154L, 155L, 156L, 157L, 158L, 161L, 162L, 163L, 164L, 166L, 168L, 169L, 171L, 172L, 173L, 174L, 176L, 178L, 180L, 181L, 182L, 183L, 184L, 185L, 186L, 187L, 188L, 189L, 190L, 191L, 192L, 193L, 194L, 0L, 2L, 3L, 5L, 6L, 7L, 8L, 9L, 11L, 12L, 13L, 15L, 17L, 18L, 20L, 21L, 22L, 24L, 26L, 27L, 28L, 31L, 33L, 35L, 36L, 37L, 38L, 39L, 41L, 42L, 43L, 45L, 46L, 47L, 48L, 50L, 56L, 58L, 59L, 62L, 63L, 65L, 66L, 67L, 68L, 70L, 71L, 72L, 77L, 79L, 80L, 81L, 82L, 83L, 84L, 85L, 86L, 89L, 91L, 97L, 100L, 101L, 102L, 103L, 104L, 105L, 106L, 109L, 111L, 112L, 114L, 115L, 116L, 118L, 120L, 121L, 122L, 123L, 126L, 127L, 128L, 129L, 131L, 132L, 135L, 136L, 139L, 140L, 142L, 143L, 145L, 147L, 148L, 150L, 151L, 152L, 154L, 155L, 156L, 157L, 159L, 160L, 161L, 164L, 166L, 169L, 171L, 172L, 173L, 174L, 176L, 177L, 178L, 179L, 181L, 182L, 183L, 184L, 185L, 186L, 187L, 189L, 190L, 191L, 192L, 194L, 2L, 4L, 6L, 7L, 8L, 9L, 11L, 12L, 13L, 15L, 17L, 18L, 21L, 22L, 24L, 26L, 27L, 28L, 29L, 32L, 33L, 35L, 36L, 37L, 39L, 41L, 43L, 44L, 45L, 46L, 47L, 48L, 49L, 53L, 56L, 57L, 58L, 62L, 63L, 65L, 66L, 67L, 68L, 69L, 70L, 71L, 72L, 74L, 75L, 76L, 77L, 79L, 80L, 82L, 85L, 86L, 89L, 91L, 92L, 93L, 96L, 97L, 98L, 99L, 100L, 101L, 102L, 103L, 105L, 107L, 108L, 109L, 110L, 111L, 114L, 115L, 116L, 118L, 119L, 121L, 122L, 123L, 124L, 125L, 126L, 127L, 128L, 129L, 130L, 131L, 132L, 133L, 134L, 135L, 136L, 137L, 138L, 139L, 140L, 142L, 144L, 145L, 147L, 148L, 150L, 151L, 152L, 154L, 155L, 156L, 157L, 158L, 159L, 160L, 161L, 162L, 164L, 165L, 167L, 168L, 169L, 170L, 171L, 172L, 173L, 174L, 176L, 177L, 178L, 179L, 181L, 182L, 183L, 184L, 185L, 186L, 189L, 190L, 191L, 192L, 193L, 194L, 0L, 2L, 3L, 4L, 5L, 6L, 7L, 10L, 12L, 13L, 14L, 16L, 17L, 18L, 19L, 21L, 22L, 23L, 24L, 26L, 27L, 28L, 29L, 30L, 31L, 34L, 35L, 36L, 37L, 39L, 40L, 41L, 42L, 43L, 44L, 45L, 46L, 47L, 48L, 54L, 56L, 57L, 59L, 61L, 62L, 63L, 65L, 66L, 67L, 68L, 72L, 73L, 74L, 75L, 76L, 77L, 79L, 80L, 82L, 83L, 85L, 86L, 87L, 88L, 89L, 91L, 92L, 94L, 96L, 100L, 101L, 102L, 103L, 104L, 106L, 107L, 109L, 110L, 114L, 115L, 116L, 117L, 118L, 122L, 123L, 124L, 125L, 126L, 128L, 129L, 131L, 133L, 134L, 135L, 136L, 138L, 139L, 140L, 141L, 142L, 144L, 145L, 146L, 147L, 149L, 151L, 152L, 154L, 155L, 156L, 157L, 158L, 161L, 162L, 163L, 164L, 165L, 166L, 167L, 168L, 169L, 170L, 171L, 172L, 173L, 176L, 180L, 181L, 183L, 184L, 185L, 186L, 187L, 189L, 190L, 191L, 192L, 193L, 194L, 0L, 2L, 3L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 30L, 31L, 32L, 33L, 34L, 35L, 36L, 37L, 38L, 40L, 41L, 42L, 43L, 44L, 45L, 46L, 47L, 48L, 50L, 51L, 52L, 53L, 55L, 56L, 57L, 58L, 59L, 60L, 61L, 62L, 63L, 64L, 65L, 66L, 67L, 68L, 69L, 70L, 71L, 72L, 73L, 74L, 75L, 76L, 77L, 78L, 79L, 80L, 81L, 82L, 83L, 84L, 85L, 86L, 87L, 88L, 89L, 90L, 91L, 92L, 93L, 94L, 95L, 96L, 97L, 99L, 100L, 101L, 102L, 103L, 104L, 106L, 107L, 109L, 110L, 111L, 113L, 114L, 115L, 116L, 118L, 119L, 120L, 121L, 122L, 123L, 124L, 126L, 127L, 128L, 129L, 130L, 131L, 132L, 133L, 135L, 136L, 137L, 138L, 139L, 140L, 141L, 142L, 143L, 144L, 145L, 146L, 147L, 148L, 149L, 150L, 151L, 152L, 153L, 154L, 155L, 156L, 157L, 158L, 159L, 160L, 161L, 162L, 163L, 164L, 165L, 166L, 167L, 168L, 169L, 170L, 171L, 172L, 173L, 174L, 175L, 176L, 177L, 178L, 179L, 180L, 181L, 182L, 183L, 184L, 185L, 186L, 187L, 188L, 189L, 191L, 192L, 193L, 194L, 0L, 1L, 2L, 6L, 7L, 8L, 10L, 12L, 13L, 14L, 17L, 18L, 19L, 20L, 21L, 22L, 24L, 25L, 26L, 27L, 31L, 34L, 35L, 36L, 37L, 38L, 39L, 40L, 43L, 44L, 45L, 46L, 47L, 48L, 50L, 53L, 55L, 56L, 57L, 59L, 62L, 63L, 64L, 65L, 68L, 72L, 75L, 76L, 77L, 78L, 79L, 80L, 82L, 86L, 88L, 89L, 91L, 100L, 101L, 102L, 103L, 105L, 106L, 113L, 114L, 116L, 118L, 122L, 123L, 125L, 126L, 129L, 130L, 131L, 132L, 135L, 136L, 139L, 140L, 144L, 145L, 146L, 147L, 149L, 150L, 151L, 152L, 153L, 154L, 155L, 156L, 157L, 158L, 159L, 160L, 161L, 162L, 163L, 166L, 167L, 168L, 169L, 170L, 171L, 172L, 173L, 174L, 175L, 178L, 179L, 181L, 183L, 184L, 185L, 186L, 187L, 188L, 189L, 190L, 191L, 193L, 194L, 0L, 2L, 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22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 31L, 32L, 33L, 34L, 35L, 36L, 37L, 38L, 39L, 40L, 41L, 42L, 43L, 44L, 45L, 46L, 47L, 48L, 49L, 50L, 51L, 52L, 53L, 54L, 55L, 56L, 57L, 58L, 59L, 60L, 61L, 62L, 63L, 64L, 65L, 66L, 67L, 68L, 69L, 70L, 71L, 72L, 73L, 74L, 75L, 76L, 77L, 78L, 79L, 80L, 81L, 82L, 83L, 84L, 85L, 86L, 87L, 88L, 89L, 90L, 91L, 92L, 93L, 94L, 95L, 96L, 97L, 98L, 99L, 100L, 101L, 102L, 103L, 104L, 105L, 106L, 107L, 108L, 109L, 110L, 111L, 112L, 113L, 114L, 115L, 116L, 117L, 118L, 119L, 120L, 121L, 122L, 123L, 124L, 125L, 126L, 127L, 128L, 129L, 130L, 131L, 132L, 133L, 134L, 135L, 136L, 137L, 138L, 139L, 140L, 141L, 142L, 143L, 144L, 145L, 146L, 147L, 148L, 149L, 150L, 151L, 152L, 153L, 154L, 155L, 156L, 157L, 158L, 159L, 160L, 161L, 162L, 163L, 164L, 165L, 166L, 167L, 168L, 169L, 170L, 171L, 172L, 173L, 174L, 175L, 176L, 177L, 178L, 179L, 180L, 181L, 182L, 183L, 184L, 185L, 186L, 187L, 188L, 189L, 190L, 191L, 192L, 193L, 194L, 0L, 1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 31L, 32L, 33L, 34L, 35L, 36L, 37L, 38L, 39L, 40L, 41L, 42L, 43L, 44L, 45L, 46L, 47L, 48L, 49L, 50L, 51L, 52L, 53L, 54L, 55L, 56L, 57L, 58L, 59L, 60L, 61L, 62L, 63L, 64L, 65L, 66L, 67L, 68L, 69L, 70L, 71L, 72L, 73L, 74L, 75L, 76L, 77L, 78L, 79L, 80L, 81L, 82L, 83L, 84L, 85L, 86L, 87L, 88L, 89L, 90L, 91L, 92L, 93L, 94L, 95L, 96L, 97L, 98L, 99L, 100L, 101L, 102L, 103L, 104L, 105L, 106L, 107L, 108L, 109L, 110L, 111L, 112L, 113L, 114L, 115L, 116L, 117L, 118L, 119L, 120L, 121L, 122L, 123L, 124L, 125L, 126L, 127L, 128L, 129L, 130L, 131L, 132L, 133L, 134L, 135L, 136L, 137L, 138L, 139L, 140L, 141L, 142L, 143L, 144L, 145L, 146L, 147L, 148L, 149L, 150L, 151L, 152L, 153L, 154L, 155L, 156L, 157L, 158L, 159L, 160L, 161L, 162L, 163L, 164L, 165L, 166L, 167L, 168L, 169L, 170L, 171L, 172L, 173L, 174L, 175L, 176L, 177L, 178L, 179L, 180L, 181L, 182L, 183L, 184L, 185L, 186L, 187L, 188L, 189L, 190L, 191L, 192L, 193L, 194L, 0L, 1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 31L, 32L, 33L, 34L, 35L, 36L, 37L, 38L, 39L, 40L, 41L, 42L, 43L, 44L, 45L, 46L, 47L, 48L, 49L, 50L, 51L, 52L, 53L, 54L, 55L, 56L, 57L, 58L, 59L, 60L, 61L, 62L, 63L, 64L, 65L, 66L, 67L, 68L, 69L, 70L, 71L, 72L, 73L, 74L, 75L, 76L, 77L, 78L, 79L, 80L, 81L, 82L, 83L, 84L, 85L, 86L, 87L, 88L, 89L, 90L, 91L, 92L, 93L, 94L, 95L, 96L, 97L, 98L, 99L, 100L, 101L, 102L, 103L, 104L, 105L, 106L, 107L, 108L, 109L, 110L, 111L, 112L, 113L, 114L, 115L, 116L, 117L, 118L, 119L, 120L, 121L, 122L, 123L, 124L, 125L, 126L, 127L, 128L, 129L, 130L, 131L, 132L, 133L, 134L, 135L, 136L, 137L, 138L, 139L, 140L, 141L, 142L, 143L, 144L, 145L, 146L, 147L, 148L, 149L, 150L, 151L, 152L, 153L, 154L, 155L, 156L, 157L, 158L, 159L, 160L, 161L, 162L, 163L, 164L, 165L, 166L, 167L, 168L, 169L, 170L, 171L, 172L, 173L, 174L, 175L, 176L, 177L, 178L, 179L, 180L, 181L, 182L, 183L, 184L, 185L, 186L, 187L, 188L, 189L, 190L, 191L, 192L, 193L, 194L, 0L, 1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 31L, 32L, 33L, 34L, 35L, 36L, 37L, 38L, 39L, 40L, 41L, 42L, 43L, 44L, 45L, 46L, 47L, 48L, 49L, 50L, 51L, 52L, 53L, 54L, 55L, 56L, 57L, 58L, 59L, 60L, 61L, 62L, 63L, 64L, 65L, 66L, 67L, 68L, 69L, 70L, 71L, 72L, 73L, 74L, 75L, 76L, 77L, 78L, 79L, 80L, 81L, 82L, 83L, 84L, 85L, 86L, 87L, 88L, 89L, 90L, 91L, 92L, 93L, 94L, 95L, 96L, 97L, 98L, 99L, 100L, 101L, 102L, 103L, 104L, 105L, 106L, 107L, 108L, 109L, 110L, 111L, 112L, 113L, 114L, 115L, 116L, 117L, 118L, 119L, 120L, 121L, 122L, 123L, 124L, 125L, 126L, 127L, 128L, 129L, 130L, 131L, 132L, 133L, 134L, 135L, 136L, 137L, 138L, 139L, 140L, 141L, 142L, 143L, 144L, 145L, 146L, 147L, 148L, 149L, 150L, 151L, 152L, 153L, 154L, 155L, 156L, 157L, 158L, 159L, 160L, 161L, 162L, 163L, 164L, 165L, 166L, 167L, 168L, 169L, 170L, 171L, 172L, 173L, 174L, 175L, 176L, 177L, 178L, 179L, 180L, 181L, 182L, 183L, 184L, 185L, 186L, 187L, 188L, 189L, 190L, 191L, 192L, 193L, 194L, 0L, 1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 31L, 32L, 33L, 34L, 35L, 36L, 37L, 38L, 39L, 40L, 41L, 42L, 43L, 44L, 45L, 46L, 47L, 48L, 49L, 50L, 51L, 52L, 53L, 54L, 55L, 56L, 57L, 58L, 59L, 60L, 61L, 62L, 63L, 64L, 65L, 66L, 67L, 68L, 69L, 70L, 71L, 72L, 73L, 74L, 75L, 76L, 77L, 78L, 79L, 80L, 81L, 82L, 83L, 84L, 85L, 86L, 87L, 88L, 89L, 90L, 91L, 92L, 93L, 94L, 95L, 96L, 97L, 98L, 99L, 100L, 101L, 102L, 103L, 104L, 105L, 106L, 107L, 108L, 109L, 110L, 111L, 112L, 113L, 114L, 115L, 116L, 117L, 118L, 119L, 120L, 121L, 122L, 123L, 124L, 125L, 126L, 127L, 128L, 129L, 130L, 131L, 132L, 133L, 134L, 135L, 136L, 137L, 138L, 139L, 140L, 141L, 142L, 143L, 144L, 145L, 146L, 147L, 148L, 149L, 150L, 151L, 152L, 153L, 154L, 155L, 156L, 157L, 158L, 159L, 160L, 161L, 162L, 163L, 164L, 165L, 166L, 167L, 168L, 169L, 170L, 171L, 172L, 173L, 174L, 175L, 176L, 177L, 178L, 179L, 180L, 181L, 182L, 183L, 184L, 185L, 186L, 187L, 188L, 189L, 190L, 191L, 192L, 193L, 194L, 0L, 1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 31L, 32L, 33L, 34L, 35L, 36L, 37L, 38L, 39L, 40L, 41L, 42L, 43L, 44L, 45L, 46L, 47L, 48L, 49L, 50L, 51L, 52L, 53L, 54L, 55L, 56L, 57L, 58L, 59L, 60L, 61L, 62L, 63L, 64L, 65L, 66L, 67L, 68L, 69L, 70L, 71L, 72L, 73L, 74L, 75L, 76L, 77L, 78L, 79L, 80L, 81L, 82L, 83L, 84L, 85L, 86L, 87L, 88L, 89L, 90L, 91L, 92L, 93L, 94L, 95L, 96L, 97L, 98L, 99L, 100L, 101L, 102L, 103L, 104L, 105L, 106L, 107L, 108L, 109L, 110L, 111L, 112L, 113L, 114L, 115L, 116L, 117L, 118L, 119L, 120L, 121L, 122L, 123L, 124L, 125L, 126L, 127L, 128L, 129L, 130L, 131L, 132L, 133L, 134L, 135L, 136L, 137L, 138L, 139L, 140L, 141L, 142L, 143L, 144L, 145L, 146L, 147L, 148L, 149L, 150L, 151L, 152L, 153L, 154L, 155L, 156L, 157L, 158L, 159L, 160L, 161L, 162L, 163L, 164L, 165L, 166L, 167L, 168L, 169L, 170L, 171L, 172L, 173L, 174L, 175L, 176L, 177L, 178L, 179L, 180L, 181L, 182L, 183L, 184L, 185L, 186L, 187L, 188L, 189L, 190L, 191L, 192L, 193L, 194L, 0L, 1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 31L, 32L, 33L, 34L, 35L, 36L, 37L, 38L, 39L, 40L, 41L, 42L, 43L, 44L, 45L, 46L, 47L, 48L, 49L, 50L, 51L, 52L, 53L, 54L, 55L, 56L, 57L, 58L, 59L, 60L, 61L, 62L, 63L, 64L, 65L, 66L, 67L, 68L, 69L, 70L, 71L, 72L, 73L, 74L, 75L, 76L, 77L, 78L, 79L, 80L, 81L, 82L, 83L, 84L, 85L, 86L, 87L, 88L, 89L, 90L, 91L, 92L, 93L, 94L, 95L, 96L, 97L, 98L, 99L, 100L, 101L, 102L, 103L, 104L, 105L, 106L, 107L, 108L, 109L, 110L, 111L, 112L, 113L, 114L, 115L, 116L, 117L, 118L, 119L, 120L, 121L, 122L, 123L, 124L, 125L, 126L, 127L, 128L, 129L, 130L, 131L, 132L, 133L, 134L, 135L, 136L, 137L, 138L, 139L, 140L, 141L, 142L, 143L, 144L, 145L, 146L, 147L, 148L, 149L, 150L, 151L, 152L, 153L, 154L, 155L, 156L, 157L, 158L, 159L, 160L, 161L, 162L, 163L, 164L, 165L, 166L, 167L, 168L, 169L, 170L, 171L, 172L, 173L, 174L, 175L, 176L, 177L, 178L, 179L, 180L, 181L, 182L, 183L, 184L, 185L, 186L, 187L, 188L, 189L, 190L, 191L, 192L, 193L, 194L, 0L, 1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 31L, 32L, 33L, 34L, 35L, 36L, 37L, 38L, 39L, 40L, 41L, 42L, 43L, 44L, 45L, 46L, 47L, 48L, 49L, 50L, 51L, 52L, 53L, 54L, 55L, 56L, 57L, 58L, 59L, 60L, 61L, 62L, 63L, 64L, 65L, 66L, 67L, 68L, 69L, 70L, 71L, 72L, 73L, 74L, 75L, 76L, 77L, 78L, 79L, 80L, 81L, 82L, 83L, 84L, 85L, 86L, 87L, 88L, 89L, 90L, 91L, 92L, 93L, 94L, 95L, 96L, 97L, 98L, 99L, 100L, 101L, 102L, 103L, 104L, 105L, 106L, 107L, 108L, 109L, 110L, 111L, 112L, 113L, 114L, 115L, 116L, 117L, 118L, 119L, 120L, 121L, 122L, 123L, 124L, 125L, 126L, 127L, 128L, 129L, 130L, 131L, 132L, 133L, 134L, 135L, 136L, 137L, 138L, 139L, 140L, 141L, 142L, 143L, 144L, 145L, 146L, 147L, 148L, 149L, 150L, 151L, 152L, 153L, 154L, 155L, 156L, 157L, 158L, 159L, 160L, 161L, 162L, 163L, 164L, 165L, 166L, 167L, 168L, 169L, 170L, 171L, 172L, 173L, 174L, 175L, 176L, 177L, 178L, 179L, 180L, 181L, 182L, 183L, 184L, 185L, 186L, 187L, 188L, 189L, 190L, 191L, 192L, 193L, 194L), p = c(0L, 129L, 255L, 397L, 536L, 717L, 839L, 941L, 1109L, 1183L, 1307L, 1364L, 1486L, 1615L, 1731L, 1779L, 1891L, 2086L, 2261L, 2415L, 2524L, 2626L, 2717L, 2814L, 2951L, 3072L, 3185L, 3367L, 3456L, 3598L, 3758L, 3948L, 4130L, 4273L, 4351L, 4474L, 4647L, 4826L, 5000L, 5157L, 5295L, 5478L, 5641L, 5824L, 6008L, 6162L, 6318L, 6491L, 6638L, 6822L, 7013L, 7174L, 7359L, 7524L, 7712L, 7879L, 8070L, 8253L, 8434L, 8623L, 8784L, 8970L, 9165L, 9343L, 9519L, 9709L, 9886L, 10075L, 10266L, 10440L, 10611L, 10795L, 10968L, 11143L, 11335L, 11506L, 11699L, 11867L, 12046L, 12230L, 12413L, 12588L, 12772L, 12953L, 13135L, 13314L, 13506L, 13675L, 13856L, 14043L, 14233L, 14423L, 14592L, 14785L, 14963L, 15154L, 15335L, 15519L, 15714L, 15907L, 16085L, 16276L, 16453L, 16642L, 16815L, 17005L, 17193L, 17387L, 17576L, 17767L, 17957L, 18140L, 18329L, 18519L, 18706L, 18897L, 19086L, 19281L, 19475L, 19667L, 19852L, 20047L, 20238L, 20433L, 20628L, 20821L, 21014L, 21208L, 21403L, 21596L, 21789L, 21983L, 22175L, 22370L, 22564L, 22759L, 22954L, 23148L, 23342L, 23535L, 23729L, 23923L, 24118L, 24313L, 24507L, 24701L, 24896L, 25090L, 25284L, 25478L, 25673L, 25867L, 26060L, 26255L, 26449L, 26643L, 26837L, 27030L, 27225L, 27419L, 27614L, 27809L, 28002L, 28197L, 28392L, 28587L, 28782L, 28977L, 29171L, 29366L, 29561L, 29756L, 29951L, 30146L, 30341L, 30536L, 30731L, 30926L, 31121L, 31316L, 31511L, 31706L, 31901L, 32096L, 32291L, 32486L, 32681L, 32876L, 33071L, 33266L, 33461L, 33656L, 33851L, 34046L, 34241L, 34436L, 34631L, 34826L, 35021L, 35216L, 35411L), Dim = c(195L, 200L), Dimnames = list(c("pbmc_4k_GACCAATTCCTAGAAC-1", "pbmc_4k_AAATGCCGTTTCGCTC-1", "pbmc_4k_ATAACGCAGTGTCCAT-1", "pbmc_4k_ATAAGAGTCCGATATG-1", "pbmc_4k_CATGACATCGGATGTT-1", "pbmc_4k_GGCGACTGTTCTCATT-1", "pbmc_4k_ATGAGGGAGAGTCGGT-1", "pbmc_4k_AGCTCTCCAGCTTCGG-1", "pbmc_4k_GGAATAAGTTTGACTG-1", "pbmc_4k_TCGCGTTGTGTGACCC-1", "pbmc_4k_GACTGCGAGGCATGTG-1", "pbmc_4k_CGTTGGGCATCCGGGT-1", "pbmc_4k_TACGGATAGAAACGAG-1", "pbmc_4k_AACGTTGAGGTCATCT-1", "pbmc_4k_CAGAATCTCTCTGAGA-1", "pbmc_4k_CGGACTGAGATGTGTA-1", "pbmc_4k_ATTACTCAGTGATCGG-1", "pbmc_4k_CTAACTTTCAACACGT-1", "pbmc_4k_TGAAAGACATCTCCCA-1", "pbmc_4k_CAAGAAATCCAGAAGG-1", "pbmc_4k_CAGAGAGAGCTAAACA-1", "pbmc_4k_CAAGATCGTAAATGTG-1", "pbmc_4k_CTACACCTCTTGCAAG-1", "pbmc_4k_CCACTACCACGGACAA-1", "pbmc_4k_CATTCGCGTACTCAAC-1", "pbmc_4k_CACACAAGTACATGTC-1", "pbmc_4k_ATAACGCTCCTGTAGA-1", "pbmc_4k_GTAGGCCGTACGCTGC-1", "pbmc_4k_GCTCTGTGTTAAGAAC-1", "pbmc_4k_GTTCGGGGTTCACCTC-1", "pbmc_4k_GGTGAAGAGTCTTGCA-1", "pbmc_4k_ACGTCAAGTAAGAGAG-1", "pbmc_4k_AAACGGGAGGCTAGCA-1", "pbmc_4k_TGGCGCAGTGGCAAAC-1", "pbmc_4k_TGTCCCAGTTCCACTC-1", "pbmc_4k_TAGACCATCAGATAAG-1", "pbmc_4k_TGCTACCGTACACCGC-1", "pbmc_4k_CTCGAAACAGTGAGTG-1", "pbmc_4k_TGAGCCGCAAGCCCAC-1", "pbmc_4k_AGCGTCGGTGTCAATC-1", "pbmc_4k_GAAATGATCGTCCAGG-1", "pbmc_4k_TGACAACTCCCTCTTT-1", "pbmc_4k_TCGCGTTTCATGGTCA-1", "pbmc_4k_CGACCTTTCATGTGGT-1", "pbmc_4k_AGGGAGTCACGGTGTC-1", "pbmc_4k_AGCGGTCAGCTCCCAG-1", "pbmc_4k_TTGCGTCCATCCTTGC-1", "pbmc_4k_GTAACTGCAGTATAAG-1", "pbmc_4k_TGAGGGAAGTACCGGA-1", "pbmc_4k_AAAGTAGAGCGACGTA-1", "pbmc_4k_CGTTAGAGTAATAGCA-1", "pbmc_4k_CACACAACAGTCTTCC-1", "pbmc_4k_AAGGTTCGTTCACGGC-1", "pbmc_4k_CGGCTAGTCTACCTGC-1", "pbmc_4k_GTCATTTAGAGACGAA-1", "pbmc_4k_GGGATGAAGCAGACTG-1", "pbmc_4k_CATATGGAGCTCCTTC-1", "pbmc_4k_TAGACCACACATAACC-1", "pbmc_4k_GGCTCGAAGGCTCATT-1", "pbmc_4k_AGCGGTCAGATCACGG-1", "pbmc_4k_TACGGTAGTCGAATCT-1", "pbmc_4k_ACTGTCCAGCCACGTC-1", "pbmc_4k_TTGGCAACATTAGGCT-1", "pbmc_4k_CTTAACTTCTCGAGTA-1", "pbmc_4k_ATAGACCAGTGGAGAA-1", "pbmc_4k_CGCGGTATCGCACTCT-1", "pbmc_4k_GCGAGAAAGAATGTGT-1", "pbmc_4k_AGCGTCGCACGGTGTC-1", "pbmc_4k_AACACGTGTACCGTAT-1", "pbmc_4k_ACGGCCAGTTAAAGAC-1", "pbmc_4k_CGACTTCCAAACGCGA-1", "pbmc_4k_TACGGATGTAGGGTAC-1", "pbmc_4k_TGCTGCTGTTTGTGTG-1", "pbmc_4k_CGATGTAGTAGAGCTG-1", "pbmc_4k_CTCTAATGTTGGACCC-1", "pbmc_4k_AGTCTTTCAGCTCGAC-1", "pbmc_4k_CGGACTGTCAGTTCGA-1", "pbmc_4k_TGTTCCGCAGCATGAG-1", "pbmc_4k_CAAGGCCTCTCGCTTG-1", "pbmc_4k_AGCCTAATCATTCACT-1", "pbmc_4k_CATGGCGGTCATGCAT-1", "pbmc_4k_CATTCGCCATATACCG-1", "pbmc_4k_TGAGGGAAGAGTACCG-1", "pbmc_4k_ATTACTCCACAAGTAA-1", "pbmc_4k_AAGGCAGCAAATCCGT-1", "pbmc_4k_TCTGGAAAGAGTACAT-1", "pbmc_4k_TCTATTGCAAGCGAGT-1", "pbmc_4k_TTAGGACAGCGTAATA-1", "pbmc_4k_CAGAGAGCAGTAGAGC-1", "pbmc_4k_GCGCCAAGTCATGCAT-1", "pbmc_4k_CGTTGGGAGGTGCTAG-1", "pbmc_4k_CAACCAAGTAAGAGGA-1", "pbmc_4k_GAACGGATCCCGGATG-1", "pbmc_4k_GACAGAGAGTACGTAA-1", "pbmc_4k_CCTTCGATCAGGCGAA-1", "pbmc_4k_GTATTCTAGGATGGAA-1", "pbmc_4k_TGAGCATAGCGTCAAG-1", "pbmc_4k_GCAGTTAGTGGCCCTA-1", "pbmc_4k_TGCCCATGTTATTCTC-1", "pbmc_4k_CCGTACTTCGATAGAA-1", "pbmc_4k_CTAACTTTCTAACCGA-1", "pbmc_4k_ATCTACTTCTGAGTGT-1", "pbmc_4k_TCCACACAGTCCGTAT-1", "pbmc_4k_AACGTTGAGCGATATA-1", "pbmc_4k_CTAAGACAGGAACTGC-1", "pbmc_4k_GTTCGGGCAGTAGAGC-1", "pbmc_4k_AGCATACCAAGCCATT-1", "pbmc_4k_ACGCCAGGTGAACCTT-1", "pbmc_4k_ACGAGCCTCGGAGCAA-1", "pbmc_4k_GTCACGGTCAGTCAGT-1", "pbmc_4k_CTGATCCGTTCGCGAC-1", "pbmc_4k_GTGTGCGGTCCTAGCG-1", "pbmc_4k_CGGCTAGCAGGAACGT-1", "pbmc_4k_AGGCCACAGTGTCCCG-1", "pbmc_4k_AGCAGCCAGATGTCGG-1", "pbmc_4k_TTCTCCTAGCACCGCT-1", "pbmc_4k_CACACCTAGTGAACGC-1", "pbmc_4k_CGTTGGGAGAGCTATA-1", "pbmc_4k_TTAGGCAAGCCGCCTA-1", "pbmc_4k_CCTCTGACATTACCTT-1", "pbmc_4k_TATTACCAGTGAACAT-1", "pbmc_4k_ACTGATGCACCTGGTG-1", "pbmc_4k_CTCACACCAGTTCATG-1", "pbmc_4k_CGCGGTAAGGGAACGG-1", "pbmc_4k_GACCTGGAGCCCAACC-1", "pbmc_4k_GTTCATTCATCTCCCA-1", "pbmc_4k_AAACGGGGTTTGCATG-1", "pbmc_4k_GCGCAACCAGGTGGAT-1", "pbmc_4k_ACTGTCCCATGTCGAT-1", "pbmc_4k_AGGTCATCAGCTTCGG-1", "pbmc_4k_GATCAGTCACAAGTAA-1", "pbmc_4k_TGTGGTATCACGGTTA-1", "pbmc_4k_CCTACACAGGTGACCA-1", "pbmc_4k_ACGTCAAGTTCAGCGC-1", "pbmc_4k_CTCATTAAGCCAACAG-1", "pbmc_4k_ACGATACAGCCCAGCT-1", "pbmc_4k_CCTACCATCTGTTGAG-1", "pbmc_4k_CCGTTCATCGTAGATC-1", "pbmc_4k_TCGTACCAGCTAAACA-1", "pbmc_4k_TTCGAAGCAGGGCATA-1", "pbmc_4k_GTCAAGTCATCCAACA-1", "pbmc_4k_CAAGTTGTCACGCATA-1", "pbmc_4k_TTCGGTCAGCGTTCCG-1", "pbmc_4k_GTCTTCGGTTCCACTC-1", "pbmc_4k_GCTGGGTCAGTATGCT-1", "pbmc_4k_CCGGGATCAGAGCCAA-1", "pbmc_4k_GAGCAGATCGCCATAA-1", "pbmc_4k_TTAACTCCACTTACGA-1", "pbmc_4k_TGGGAAGCACAGAGGT-1", "pbmc_4k_GACGGCTGTTGGTAAA-1", "pbmc_4k_CGCTATCCAGGTGCCT-1", "pbmc_4k_AGTGGGAGTGCCTGTG-1", "pbmc_4k_GCTGCGACATAACCTG-1", "pbmc_4k_GGATTACAGGCTATCT-1", "pbmc_4k_GGCAATTGTCGCTTCT-1", "pbmc_4k_CGTTCTGAGGCTCAGA-1", "pbmc_4k_TTAACTCAGCTAACAA-1", "pbmc_4k_CATCAAGTCACGACTA-1", "pbmc_4k_CAAGGCCGTCGCTTTC-1", "pbmc_4k_GGACAAGTCTCAAGTG-1", "pbmc_4k_GTGCTTCGTTGTCTTT-1", "pbmc_4k_CACTCCATCTGAAAGA-1", "pbmc_4k_TTAGTTCCATGTAAGA-1", "pbmc_4k_AGCTCCTGTATAAACG-1", "pbmc_4k_CCACCTAAGTGGAGAA-1", "pbmc_4k_TAAACCGGTAGCAAAT-1", "pbmc_4k_AGCTCTCGTTGATTGC-1", "pbmc_4k_TCTCATAAGATAGGAG-1", "pbmc_4k_TCACAAGTCCGTCAAA-1", "pbmc_4k_GTGCTTCAGGCTAGAC-1", "pbmc_4k_GGAAAGCTCGAATGCT-1", "pbmc_4k_AAGCCGCCAATCTGCA-1", "pbmc_4k_GTTAAGCAGTGAAGAG-1", "pbmc_4k_AAGGCAGGTAGTGAAT-1", "pbmc_4k_CGCGTTTGTAGATTAG-1", "pbmc_4k_GATCGTAGTCTAGGTT-1", "pbmc_4k_CGGACTGAGCTGCAAG-1", "pbmc_4k_CCACTACTCATGTAGC-1", "pbmc_4k_AAGGTTCGTGCCTGCA-1", "pbmc_4k_CACACTCCAGACAAGC-1", "pbmc_4k_ATCTGCCAGACAAAGG-1", "pbmc_4k_CGAATGTCATCACCCT-1", "pbmc_4k_ATCTACTGTTTAGCTG-1", "pbmc_4k_TCAGCAACAATGGAGC-1", "pbmc_4k_ACGATGTAGTCCAGGA-1", "pbmc_4k_AGAGTGGTCGGTCCGA-1", "pbmc_4k_GGTGCGTAGTACGATA-1", "pbmc_4k_CTCCTAGTCGTACCGG-1", "pbmc_4k_CGATGTATCGTACCGG-1", "pbmc_4k_GCTTGAAGTCGGATCC-1", "pbmc_4k_CGGACACTCGGTCCGA-1", "pbmc_4k_TGGGAAGAGTGGTCCC-1", "pbmc_4k_CTCCTAGAGCAGACTG-1", "pbmc_4k_ATCGAGTGTACAGCAG-1", "pbmc_4k_TGACTAGAGTACGCGA-1"), c("ENSG00000090382", "ENSG00000143546", "ENSG00000163220", "ENSG00000204287", "ENSG00000019582", "ENSG00000101439", "ENSG00000011600", "ENSG00000196154", "ENSG00000271503", "ENSG00000196126", "ENSG00000211592", "ENSG00000223865", "ENSG00000163131", "ENSG00000231389", "ENSG00000115523", "ENSG00000100097", "ENSG00000087086", "ENSG00000197956", "ENSG00000227507", "ENSG00000008517", "ENSG00000179344", "ENSG00000158869", "ENSG00000204482", "ENSG00000130066", "ENSG00000122862", "ENSG00000233276", "ENSG00000170345", "ENSG00000204472", "ENSG00000245532", "ENSG00000026025", "ENSG00000167996", "ENSG00000171223", "ENSG00000103187", "ENSG00000196735", "ENSG00000197746", "ENSG00000177606", "ENSG00000120129", "ENSG00000111640", "ENSG00000067082", "ENSG00000197747", "ENSG00000051523", "ENSG00000104894", "ENSG00000142669", "ENSG00000184009", "ENSG00000128016", "ENSG00000143933", "ENSG00000092841", "ENSG00000130429", "ENSG00000104904", "ENSG00000206503", "ENSG00000265972", "ENSG00000204592", "ENSG00000111229", "ENSG00000168028", "ENSG00000170315", "ENSG00000169442", "ENSG00000133639", "ENSG00000101608", "ENSG00000163041", "ENSG00000133872", "ENSG00000089157", "ENSG00000075624", "ENSG00000181163", "ENSG00000136156", "ENSG00000198888", "ENSG00000150991", "ENSG00000140264", "ENSG00000132475", "ENSG00000163466", "ENSG00000196262", "ENSG00000167658", "ENSG00000165502", "ENSG00000129824", "ENSG00000108518", "ENSG00000104408", "ENSG00000204525", "ENSG00000100650", "ENSG00000135390", "ENSG00000114942", "ENSG00000111348", "ENSG00000188243", "ENSG00000108654", "ENSG00000196683", "ENSG00000169100", "ENSG00000167283", "ENSG00000198840", "ENSG00000125534", "ENSG00000102879", "ENSG00000198786", "ENSG00000124172", "ENSG00000172757", "ENSG00000279483", "ENSG00000198727", "ENSG00000065978", "ENSG00000122406", "ENSG00000265681", "ENSG00000105373", "ENSG00000198804", "ENSG00000100316", "ENSG00000169567", "ENSG00000174444", "ENSG00000232112", "ENSG00000124614", "ENSG00000140319", "ENSG00000171863", "ENSG00000123349", "ENSG00000198899", "ENSG00000135486", "ENSG00000083845", "ENSG00000070756", "ENSG00000162511", "ENSG00000241343", "ENSG00000145741", "ENSG00000156467", "ENSG00000204628", "ENSG00000131143", "ENSG00000234745", "ENSG00000198886", "ENSG00000148303", "ENSG00000127184", "ENSG00000198938", "ENSG00000114391", "ENSG00000198763", "ENSG00000198712", "ENSG00000156482", "ENSG00000173812", "ENSG00000071082", "ENSG00000213741", "ENSG00000116251", "ENSG00000131469", "ENSG00000008988", "ENSG00000104529", "ENSG00000138326", "ENSG00000171858", "ENSG00000198242", "ENSG00000149273", "ENSG00000034510", "ENSG00000142534", "ENSG00000125691", "ENSG00000182774", "ENSG00000108298", "ENSG00000205542", "ENSG00000251562", "ENSG00000198755", "ENSG00000142937", "ENSG00000166710", "ENSG00000110700", "ENSG00000063177", "ENSG00000089009", "ENSG00000112306", "ENSG00000197958", "ENSG00000196531", "ENSG00000137154", "ENSG00000188846", "ENSG00000182899", "ENSG00000197756", "ENSG00000149806", "ENSG00000118181", "ENSG00000172809", "ENSG00000187514", "ENSG00000177954", "ENSG00000221983", "ENSG00000177600", "ENSG00000105193", "ENSG00000231500", "ENSG00000166441", "ENSG00000162244", "ENSG00000161016", "ENSG00000136942", "ENSG00000186468", "ENSG00000163682", "ENSG00000174748", "ENSG00000133112", "ENSG00000105372", "ENSG00000105640", "ENSG00000130255", "ENSG00000143947", "ENSG00000137818", "ENSG00000134419", "ENSG00000142676", "ENSG00000144713", "ENSG00000198034", "ENSG00000109475", "ENSG00000140988", "ENSG00000164587", "ENSG00000145592", "ENSG00000198918", "ENSG00000142541", "ENSG00000156508", "ENSG00000170889", "ENSG00000233927", "ENSG00000108107", "ENSG00000147604", "ENSG00000122026", "ENSG00000167526", "ENSG00000115268", "ENSG00000145425", "ENSG00000147403", "ENSG00000161970", "ENSG00000229117")), x = c(0.570641781435566, 1.0217099387065, 0.602354505430844, 2.65161724585915, 2.37780967573186, 2.58599747413442, 2.79813367563664, 2.23632993833369, 0.517157930234938, 0.51917259398003, 2.16331819296338, 0.372257898931988, 2.62419613470342, 2.72337323837608, 2.78115430806085, 2.2900989595018, 2.67334568106778, 0.431004661269356, 0.623480001202764, 0.410998090269615, 0.687762813320079, 0.389737469511908, 2.82649353187654, 2.00332798479114, 2.58481939092642, 0.490737065598553, 2.4384184450905, 0.683210380655478, 2.28228436189075, 2.3858495326243, 2.57726113124702, 0.787686805214455, 2.29747196172548, 0.648299929225488, 0.882097188866138, 0.777145394126372, 0.422561093156653, 0.517312313569147, 2.42180456843673, 0.580540942880949, 0.592880434714348, 2.48400202561079, 0.822889677649315, 0.549247397737243, 2.40797026471356, 0.679281518453882, 0.717195707489926, 2.12031148230146, 2.15058468972174, 2.62012072613539, 0.670757561647268, 2.28704185456497, 0.397304229803102, 1.0015410996749, 0.461854587812555, 0.541129006862152, 2.35546207763314, 0.714687525698811, 2.53203913248194, 0.454565557804, 0.791405012223588, 2.72293085186524, 2.83903985676342, 2.43704420570256, 2.38220064430405, 0.849934631699072, 1.08040040181795, 0.590818764061798, 0.579160325226651, 2.42734889014685, 0.53276934311703, 2.1580251432509, 1.99597689483235, 0.6512067073365, 0.708043091362259, 2.31500700052196, 2.68865739540362, 0.841673653023345, 2.15168564054802, 0.784393740413317, 0.599583943689814, 2.76265883286907, 0.554209295204461, 2.60693101016894, 0.383697489639263, 2.28203584645864, 2.73311224992207, 2.49642625144731, 2.16659791152267, 0.471922354645716, 0.399087034850522, 0.660494832883134, 2.85740158373697, 0.513178076896108, 2.18403383995148, 0.312828357873416, 0.514853885725267, 2.13486000304439, 1.62585002819223, 2.22788419757609, 0.356182990537315, 2.02562239320762, 0.410048364930396, 1.0332422361503, 0.264810991055315, 0.333063373750833, 0.630019197632047, 1.88409930717563, 0.243543814044668, 2.65559114506169, 0.431900117693504, 0.243608947582378, 0.734879542021216, 0.500536917916001, 0.670351111707218, 0.891501327031574, 0.460884682229354, 0.493375612287212, 1.89192939417802, 1.94044257219114, 2.51368690452498, 0.316838301883777, 0.680305652712236, 1.47330095201174, 0.580738754684918, 2.13643407398422, 0.246744034358702, 0.516772400451218, 2.13205733482778, 0.631494211093862, 0.870752360811318, 0.759522520655527, 0.66658873496601, 3.74974891664673, 3.05811148430301, 3.10256040507615, 0.363601853644228, 0.39684772176576, 2.8549721743322, 2.53397136233309, 0.572306917911026, 0.415766284158959, 1.64918982064956, 0.790900789080681, 1.44423273186903, 3.06632887768979, 2.8061680522247, 1.56383242541823, 3.24939882263294, 0.476966386620609, 0.454826343284855, 0.761104863588225, 2.7033922535065, 2.13330722511492, 1.89758092413928, 0.543068569769048, 1.8814530096389, 0.763492177026985, 1.09595285770325, 2.48327884070555, 2.21147794806363, 2.97474280362712, 0.739100714205032, 2.88997045966094, 0.781354804735227, 1.39048130062515, 0.642449005065864, 0.842076239403364, 0.815213728645145, 2.21120734864896, 0.603386065819457, 0.961388923610889, 0.725749661512119, 0.550509858686861, 1.02907883985349, 0.607818360683078, 3.29483212785808, 0.695951230161674, 0.376246282997389, 2.13984976563962, 1.07959185186676, 1.97879425955174, 0.43967218897394, 0.76654014582239, 0.943147249605749, 0.793502321661626, 1.88518434492364, 2.24329886226675, 0.510032770606956, 2.48678582137927, 2.16621073546229, 2.32633720907666, 2.85148565786414, 0.553515406154622, 0.854833522477579, 0.706890404395599, 1.19561276725152, 0.957085454911139, 1.06692500902577, 0.304507203241486, 0.589583109705529, 0.227361103233845, 0.623507694140607, 0.455565064747157, 0.503430235163546, 3.099918008561, 2.73460500255291, 1.45105684544775, 0.569419031522336, 0.663522724453185, 2.86183128075649, 2.79028984983857, 0.486830501070082, 0.740540381285604, 2.5806632579024, 2.70168158290739, 2.54979563239508, 0.441645109821276, 0.488414293015838, 0.532883350015353, 2.05267673298653, 0.811533099255414, 0.399004409023022, 0.669925218475805, 0.437328695496304, 0.345469447537411, 2.65652863429843, 0.372442702147998, 2.60300910118657, 0.68032159346422, 0.376887990386532, 2.31040017034155, 0.494231475354732, 0.368580779209543, 1.31990528074914, 0.269514980711754, 3.12914497344524, 0.282001675764501, 0.4595116094901, 0.393462169846675, 0.413159792632247, 0.334319035098703, 0.607139383656769, 0.3031283272518, 0.510032770606956, 0.708465970704179, 1.60919668102691, 1.755240482117, 2.2001186420149, 0.577045098183535, 1.45644729333387, 0.642667911239853, 2.23774461580624, 0.273056467977992, 2.50447709057966, 1.3918480603864, 0.410892691692122, 3.44058021460812, 3.1343147864609, 2.70943053459545, 0.363646135790587, 0.818658352021348, 3.05707349958202, 2.79790708426565, 0.572376617717139, 0.667263139424883, 1.7703160348999, 1.59836296071239, 2.97175467852366, 2.73530007291258, 1.7656028161385, 3.11493083351788, 0.749044474617832, 0.690051052955133, 0.458815385093176, 0.761197556616674, 3.04725308594136, 2.21723003569129, 1.85550246419345, 2.53434405596264, 0.48810728407531, 2.62122150645228, 0.505322321792509, 2.32313279669935, 3.08613407648474, 0.347313701253343, 2.94963507790695, 0.717521087973596, 0.467679358933907, 2.26907411685108, 0.918451492532088, 0.64252724729864, 0.815313011454856, 2.30848687498114, 0.603459550676066, 0.644503463807104, 0.459459959726304, 0.550576903884487, 0.844175030752504, 1.02920416875196, 0.607892385337622, 3.58356040928452, 0.793773099656129, 0.435833784078234, 0.611410580570928, 1.02421071241229, 0.505366082075829, 1.83971218443081, 2.14046211019594, 0.943262113114081, 0.793598960294218, 2.11013530249176, 2.32411334245589, 0.892027993636101, 0.503101047659389, 0.627591613501185, 0.510094886202819, 0.875905980858005, 0.843175569174703, 2.41236728434869, 2.58330155975951, 2.61832892156102, 3.12257343330983, 0.559049601431338, 0.702560667995245, 0.627591613501185, 0.982021219207497, 1.18604253206882, 0.640999216464869, 0.667461135182252, 0.589654913535166, 1.32622314844684, 0.323214303885962, 0.406838448737459, 0.503491546653385, 2.93448805695166, 2.78928264494496, 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2.34603536395572, 1.79840308983192, 3.44186270670145, 1.72894133174213, 3.35699135553361, 2.54410120617789, 2.2961290972138, 2.89413031144625, 1.69652014899239, 3.23562005456487, 5.03097155153052, 2.30865879888147, 2.00034188066153, 3.26217721392983, 2.19321346411669, 2.85829847347361, 3.4085860995118, 2.05760099393634, 1.95003608162973, 2.92572151972749, 1.96672805995037, 2.29171646919051, 3.41406118532434, 2.14122675458968, 4.15304604209013, 1.92201281117206, 2.33554332741842, 2.73677120598698, 2.44298469069459, 2.15978048642891, 2.66716328184889, 2.48839317586531, 2.60669170327357, 2.40560750288517, 4.1646005072137, 1.98151030116026, 2.42401693835046, 2.8701158660885, 3.20033464150867, 3.08797670094483, 1.9624240791195, 3.66540755582754, 2.31573586009452, 3.99177518284332, 2.82290107251145, 2.64154128238413, 6.02515703357013, 5.5856832991507, 2.2629801986106, 3.91883371053638, 2.30953001621348, 4.06776588173646, 2.155556720911, 4.53647985699428, 3.48073487786265, 4.12578241308171, 3.38879948737907, 4.67021956502185, 3.62240882766863, 2.40732474300449, 3.75889807546949, 3.26741997964378, 3.10046631545627, 4.40106539458994, 3.08090059733841, 6.02500885292106, 5.11826540481816, 4.44475565620107, 2.85652864949132, 6.12177942387784, 4.09177427326713, 4.96212993656731, 6.00017729569913, 5.74956715375571, 4.56649429614985, 5.87691101771415, 7.12390275533132, 4.62888089920266, 5.10233011057978, 5.53120389324569, 4.1206505181717, 6.15436750985235, 4.97084561199233, 6.68793736991719, 6.78824944547683, 7.11868470521255, 4.98951215111199, 4.51378004361004, 5.88224896930911, 6.95495842098071, 9.64963823764255, 12.3021314031785, 5.96410968269754, 6.84218023433955, 9.56706520503789, 6.85011853839961, 6.17267671792314, 6.24917932459197, 8.17353122676483, 6.93076330101647, 4.91968571087099, 8.21230165229519, 6.0843438498298, 7.19759245341305, 6.76923241660444, 6.27985591933321, 7.26789567167362, 6.22908047505912, 6.72086194674615, 10.350388166123, 6.10147072283234, 8.94163868560717, 7.08897716486183, 9.4986266901154, 8.36433891546742, 7.11380652384864, 7.76167960774354, 7.38985218741718, 8.59341386858834, 8.09202829561085, 7.96368686502038, 8.36449033973668, 9.0917216241116, 9.31393408246692, 8.06938663956783, 9.53163662899103, 10.3581485571594, 9.82604514255355, 9.67762765546145, 10.6252520472463, 8.7556723797474, 11.5783769095549, 10.6571923600119, 10.6408932218769, 8.94557181076316, 11.1284156019119, 11.6574925405803, 12.3963932406884, 8.96707124696321, 10.6309750619958, 10.5187104376963, 10.3408796155771, 12.5032003540116, 12.6555139525948, 10.2956652368996, 11.4024677842164, 15.1096231421841, 13.0466845129875, 15.5330955889883), scale = NULL)`: function 'as_cholmod_sparse' not provided by package 'Matrix' Backtrace: ▆ 1. └─singleCellTK::scaterPCA(sce) at test-clustering.R:7:1 2. ├─withr::with_seed(...) 3. │ └─withr::with_preserve_seed(...) 4. ├─scater::calculatePCA(...) 5. └─scater::calculatePCA(...) 6. └─scater (local) .local(x, ...) 7. ├─BiocSingular::runPCA(...) 8. └─BiocSingular::runPCA(...) 9. └─BiocSingular (local) .local(x, ...) 10. ├─BiocSingular::runSVD(...) 11. └─BiocSingular::runSVD(...) 12. ├─BiocSingular::runSVD(...) 13. └─BiocSingular::runSVD(...) 14. ├─base::do.call(...) 15. └─BiocSingular (local) `<fn>`(...) 16. ├─base::do.call(...) 17. └─irlba (local) `<fn>`(...) ── Error ('test-computeHeatmap.R:8:3'): Testing computeHeatmap.R ─────────────── Error in `methods::slot(Seurat::GetAssay(seuratObject, seuratAssaySlot), seuratDataSlot)`: no slot of name "data" for this object of class "Assay5" Backtrace: ▆ 1. └─singleCellTK::runSeuratNormalizeData(sce) at test-computeHeatmap.R:8:3 2. └─singleCellTK:::.updateAssaySCE(...) 3. └─methods::slot(...) ── Error ('test-dimensionReduction.R:8:1'): (code run outside of `test_that()`) ── Error in `(function (cl, name, valueClass) { ClassDef <- getClass(cl) slotClass <- ClassDef@slots[[name]] if (is.null(slotClass)) stop(gettextf("%s is not a slot in class %s", sQuote(name), dQuote(cl)), domain = NA) if (.identC(slotClass, valueClass)) return(TRUE) ok <- possibleExtends(valueClass, slotClass, ClassDef2 = getClassDef(slotClass, where = .classEnv(ClassDef))) if (isFALSE(ok)) stop(gettextf("assignment of an object of class %s is not valid for @%s in an object of class %s; is(value, \"%s\") is not TRUE", dQuote(valueClass), sQuote(name), dQuote(cl), slotClass), domain = NA) TRUE })(structure("Assay5", package = "SeuratObject"), "counts", structure("dgCMatrix", package = "Matrix"))`: 'counts' is not a slot in class "Assay5" Backtrace: ▆ 1. └─singleCellTK::runFeatureSelection(sce, useAssay = "counts") at test-dimensionReduction.R:8:1 2. ├─base::do.call("runSeuratFindHVG", args = params) 3. └─singleCellTK::runSeuratFindHVG(...) 4. └─singleCellTK:::.addSeuratToMetaDataSCE(inSCE, seuratObject) 5. └─methods (local) `<fn>`(`<chr>`, "counts", `<chr>`) ── Error ('test-featureSelection.R:5:1'): (code run outside of `test_that()`) ── Error in `methods::slot(Seurat::GetAssay(seuratObject, seuratAssaySlot), seuratDataSlot)`: no slot of name "data" for this object of class "Assay5" Backtrace: ▆ 1. └─singleCellTK::runSeuratNormalizeData(sce) at test-featureSelection.R:5:1 2. └─singleCellTK:::.updateAssaySCE(...) 3. └─methods::slot(...) ── Error ('test-qc.R:50:1'): (code run outside of `test_that()`) ─────────────── <bplist_error/bperror/error/condition> Error: BiocParallel errors 1 remote errors, element index: 1 0 unevaluated and other errors first remote error: Error in value[[3L]](cond): An error occured while processing sample '1': Error in (function (A, nv = 5, nu = nv, maxit = 1000, work = nv + 7, reorth = TRUE, : function 'as_cholmod_sparse' not provided by package 'Matrix' Backtrace: ▆ 1. └─singleCellTK::runScDblFinder(sceres) at test-qc.R:50:1 2. ├─withr::with_seed(...) 3. │ └─withr::with_preserve_seed(...) 4. └─scDblFinder::scDblFinder(...) 5. ├─BiocParallel::bplapply(...) 6. └─BiocParallel::bplapply(...) 7. └─BiocParallel:::.bpinit(...) ── Error ('test-scater.R:17:3'): Testing scaterLogNormCounts & scaterPCA ─────── Error in `(function (A, nv = 5, nu = nv, maxit = 1000, work = nv + 7, reorth = TRUE, tol = 1e-05, v = NULL, right_only = FALSE, verbose = FALSE, scale = NULL, center = NULL, shift = NULL, mult = NULL, fastpath = TRUE, svtol = tol, smallest = FALSE, ...) { ropts <- options(warn = 1) mflag <- new.env() mflag$flag <- FALSE on.exit(options(ropts)) interchange <- FALSE eps <- .Machine$double.eps mcall <- as.list(match.call()) random <- eval(mcall[["rng"]]) if (is.null(random)) random <- rnorm maxritz <- eval(mcall[["maxritz"]]) if (is.null(maxritz)) maxritz <- 3 eps2 <- eval(mcall[["invariant_subspace_tolerance"]]) if (is.null(eps2)) eps2 <- eps^(4/5) du <- eval(mcall[["du"]]) dv <- eval(mcall[["dv"]]) ds <- eval(mcall[["ds"]]) deflate <- is.null(du) + is.null(ds) + is.null(dv) if (is.logical(scale) && !scale) scale <- NULL if (is.logical(shift) && !shift) shift <- NULL if (is.logical(center) && !center) center <- NULL if (smallest) fastpath <- FALSE if (any(dim(A) > 2^32 - 1)) fastpath <- FALSE if (deflate == 3) { deflate <- FALSE } else if (deflate == 0) { deflate <- TRUE warning("The deflation options have been deprecated. Please modify your code to not use them.") if (length(ds) > 1) stop("deflation limited to one dimension") if (!is.null(dim(du))) du <- du[, 1] if (!is.null(dim(dv))) dv <- dv[, 1] } else stop("all three du ds dv parameters must be specified for deflation") if (!is.null(center)) { if (is.logical(center) && center) center <- colMeans(A) if (deflate) stop("the center parameter can't be specified together with deflation parameters") if (length(center) != ncol(A)) stop("center must be a vector of length ncol(A)") if (fastpath && !right_only) du <- NULL else du <- 1 ds <- 1 dv <- center deflate <- TRUE } if ("integer" == typeof(A)) A <- A + 0 iscomplex <- is.complex(A) m <- nrow(A) n <- ncol(A) if (is.null(nu)) nu <- nv if (!is.null(mult) && deflate) stop("the mult parameter can't be specified together with deflation parameters") missingmult <- FALSE if (is.null(mult)) { missingmult <- TRUE mult <- `%*%` } k <- max(nu, nv) if (k <= 0) stop("max(nu, nv) must be positive") if (k > min(m - 1, n - 1)) stop("max(nu, nv) must be strictly less than min(nrow(A), ncol(A))") if (k >= 0.5 * min(m, n)) { warning("You're computing too large a percentage of total singular values, use a standard svd instead.") } if (work <= 1) stop("work must be greater than 1") if (tol < 0) stop("tol must be non-negative") if (maxit <= 0) stop("maxit must be positive") if (work <= k && !right_only) work <- k + 1 if (work >= min(n, m)) { work <- min(n, m) if (work <= k) { k <- work - 1 warning("Requested subspace dimension too large! Reduced to ", k) } } k_org <- k w_dim <- work if (right_only) { w_dim <- 1 fastpath <- FALSE } if (n > m && smallest) { interchange <- TRUE temp <- m m <- n n <- temp } if (verbose) { message("Working dimension size ", work) } if (min(m, n) < 6) { A <- as.matrix(A) if (verbose) message("Tiny problem detected, using standard `svd` function.") if (!is.null(scale)) { A <- sweep(A, 2, scale, "/") dv <- dv/scale } if (!is.null(shift)) A <- A + diag(shift, nrow(A), ncol(A)) if (deflate) { if (is.null(du)) du <- rep(1, nrow(A)) A <- A - (ds * du) %*% t(dv) } s <- svd(A) if (smallest) { return(list(d = tail(s$d, k), u = s$u[, tail(seq(ncol(s$u)), k), drop = FALSE], v = s$v[, tail(seq(ncol(s$v), k)), drop = FALSE], iter = 0, mprod = 0)) } return(list(d = s$d[1:k], u = s$u[, 1:nu, drop = FALSE], v = s$v[, 1:nv, drop = FALSE], iter = 0, mprod = 0)) } if (deflate) fastpath <- fastpath && is.null(du) fastpath <- fastpath && (("Matrix" %in% attributes(class(A)) && ("dgCMatrix" %in% class(A))) || "matrix" %in% class(A)) if (fastpath && missingmult && !iscomplex && !right_only) { RESTART <- 0L RV <- RW <- RS <- NULL if (is.null(v)) { v <- random(n) if (verbose) message("Initializing starting vector v with samples from standard normal distribution.\nUse `set.seed` first for reproducibility.") } else if (is.list(v)) { if (is.null(v$v) || is.null(v$d) || is.null(v$u)) stop("restart requires left and right singular vectors") if (max(nu, nv) <= min(ncol(v$u), ncol(v$v))) return(v) RESTART <- as.integer(length(v$d)) RND <- random(n) RND <- orthog(RND, v$v) RV <- cbind(v$v, RND/norm2(RND)) RW <- v$u RS <- v$d v <- NULL } SP <- ifelse(is.matrix(A), 0L, 1L) if (verbose) message("irlba: using fast C implementation") SCALE <- NULL SHIFT <- NULL CENTER <- NULL if (!is.null(scale)) { if (length(scale) != ncol(A)) stop("scale length must match number of matrix columns") SCALE <- as.double(scale) } if (!is.null(shift)) { if (length(shift) != 1) stop("shift length must be 1") SHIFT <- as.double(shift) } if (deflate) { if (length(center) != ncol(A)) stop("the centering vector length must match the number of matrix columns") CENTER <- as.double(center) } ans <- .Call(C_IRLB, A, as.integer(k), as.double(v), as.integer(work), as.integer(maxit), as.double(tol), as.double(eps2), as.integer(SP), as.integer(RESTART), RV, RW, RS, SCALE, SHIFT, CENTER, as.double(svtol)) if (ans[[6]] == 0 || ans[[6]] == -2) { names(ans) <- c("d", "u", "v", "iter", "mprod", "err") ans$u <- matrix(head(ans$u, m * nu), nrow = m, ncol = nu) ans$v <- matrix(head(ans$v, n * nv), nrow = n, ncol = nv) if (tol * ans$d[1] < eps) warning("convergence criterion below machine epsilon") if (ans[[6]] == -2) warning("did not converge--results might be invalid!; try increasing work or maxit") return(ans[-6]) } errors <- c("invalid dimensions", "didn't converge", "out of memory", "starting vector near the null space", "linear dependency encountered") erridx <- abs(ans[[6]]) if (erridx > 1) warning("fast code path error ", errors[erridx], "; re-trying with fastpath=FALSE.", immediate. = TRUE) } W <- matrix(0, m, w_dim) F <- matrix(0, n, 1) restart <- FALSE if (is.list(v)) { if (is.null(v$v) || is.null(v$d) || is.null(v$u)) stop("restart requires left and right singular vectors") if (max(nu, nv) <= min(ncol(v$u), ncol(v$v))) return(v) right_only <- FALSE W[, 1:ncol(v$u)] <- v$u d <- v$d V <- matrix(0, n, work) V[, 1:ncol(v$v)] <- v$v restart <- TRUE } else if (is.null(v)) { V <- matrix(0, n, work) V[, 1] <- random(n) } else { V <- matrix(0, n, work) V[1:length(v)] <- v } B <- NULL Bsz <- NULL eps23 <- eps^(2/3) iter <- 1 mprod <- 0 R_F <- NULL sqrteps <- sqrt(eps) Smax <- 1 Smin <- NULL lastsv <- c() if (restart) { B <- cbind(diag(d), 0) k <- length(d) F <- random(n) F <- orthog(F, V[, 1:k]) V[, k + 1] <- F/norm2(F) } if (deflate && is.null(du)) du <- 1 while (iter <= maxit) { j <- 1 if (iter == 1 && !restart) { V[, 1] <- V[, 1]/norm2(V[, 1]) } else j <- k + 1 j_w <- ifelse(w_dim > 1, j, 1) VJ <- V[, j] if (!is.null(scale)) { VJ <- VJ/scale } if (interchange) avj <- mult(VJ, A) else avj <- mult(A, VJ) W[, j_w] <- as.vector(avj) mprod <- mprod + 1 if (!is.null(shift)) { W[, j_w] <- W[, j_w] + shift * VJ } if (deflate) { W[, j_w] <- W[, j_w] - ds * drop(cross(dv, VJ)) * du } if (iter != 1 && w_dim > 1 && reorth) { W[, j] <- orthog(W[, j, drop = FALSE], W[, 1:(j - 1), drop = FALSE]) } S <- norm2(W[, j_w, drop = FALSE]) if (is.na(S) || S < eps2 && j == 1) stop("starting vector near the null space") if (is.na(S) || S < eps2) { if (verbose) message_once("invariant subspace found", flag = mflag) W[, j_w] <- random(nrow(W)) if (w_dim > 1) W[, j] <- orthog(W[, j], W[, 1:(j - 1)]) W[, j_w] <- W[, j_w]/norm2(W[, j_w]) S <- 0 } else W[, j_w] <- W[, j_w]/S while (j <= work) { j_w <- ifelse(w_dim > 1, j, 1) if (iscomplex) { if (interchange) F <- Conj(t(drop(mult(A, Conj(drop(W[, j_w])))))) else F <- Conj(t(drop(mult(Conj(drop(W[, j_w])), A)))) } else { if (interchange) F <- t(drop(mult(A, drop(W[, j_w])))) else F <- t(drop(mult(drop(W[, j_w]), A))) } if (!is.null(shift)) F <- F + shift * W[, j_w] if (!is.null(scale)) F <- F/scale if (deflate) { sub <- sum(W[, j_w]) * dv if (!is.null(scale)) sub <- sub/scale F <- F - sub } mprod <- mprod + 1 F <- drop(F - S * V[, j]) F <- orthog(F, V[, 1:j, drop = FALSE]) if (j + 1 <= work) { R <- norm2(F) if (R < eps2) { if (verbose) message_once("invariant subspace found", flag = mflag) F <- matrix(random(dim(V)[1]), dim(V)[1], 1) F <- orthog(F, V[, 1:j, drop = FALSE]) V[, j + 1] <- F/norm2(F) R <- 0 } else V[, j + 1] <- F/R if (is.null(B)) B <- cbind(S, R) else B <- rbind(cbind(B, 0), c(rep(0, ncol(B) - 1), S, R)) jp1_w <- ifelse(w_dim > 1, j + 1, 1) w_old <- W[, j_w] VJP1 <- V[, j + 1] if (!is.null(scale)) { VJP1 <- VJP1/scale } if (interchange) W[, jp1_w] <- drop(mult(drop(VJP1), A)) else W[, jp1_w] <- drop(mult(A, drop(VJP1))) mprod <- mprod + 1 if (!is.null(shift)) { W[, jp1_w] <- W[, jp1_w] + shift * VJP1 } if (deflate) { W[, jp1_w] <- W[, jp1_w] - ds * drop(cross(dv, VJP1)) * du } W[, jp1_w] <- W[, jp1_w] - R * w_old if (reorth && w_dim > 1) W[, j + 1] <- orthog(W[, j + 1], W[, 1:j]) S <- norm2(W[, jp1_w]) if (S < eps2) { if (verbose) message_once("invariant subspace found", flag = mflag) W[, jp1_w] <- random(nrow(W)) if (w_dim > 1) W[, j + 1] <- orthog(W[, j + 1], W[, 1:j]) W[, jp1_w] <- W[, jp1_w]/norm2(W[, jp1_w]) S <- 0 } else W[, jp1_w] <- W[, jp1_w]/S } else { B <- rbind(B, c(rep(0, j - 1), S)) } j <- j + 1 } Bsz <- nrow(B) R_F <- norm2(F) F <- F/R_F Bsvd <- svd(B) if (iter == 1) { Smax <- Bsvd$d[1] Smin <- Bsvd$d[Bsz] } else { Smax <- max(Smax, Bsvd$d[1]) Smin <- min(Smin, Bsvd$d[Bsz]) } Smax <- max(eps23, Smax) if (!reorth && Smin/Smax < sqrteps) { warning("The matrix is ill-conditioned. Basis will be reorthogonalized.") reorth <- TRUE } if (smallest) { jj <- seq(ncol(Bsvd$u), 1, by = -1) Bsvd$u <- Bsvd$u[, jj] Bsvd$d <- Bsvd$d[jj] Bsvd$v <- Bsvd$v[, jj] } R <- R_F * Bsvd$u[Bsz, , drop = FALSE] ct <- convtests(Bsz, tol, k_org, Bsvd, abs(R), k, Smax, lastsv, svtol, maxritz, work, S) if (verbose) { message("iter= ", iter, ", mprod= ", mprod, ", sv[", k_org, "]=", sprintf("%.2e", Bsvd$d[k_org]), ", %change=", sprintf("%.2e", (Bsvd$d[k_org] - lastsv[k_org])/Bsvd$d[k_org]), ", k=", ct$k) } lastsv <- Bsvd$d k <- ct$k if (ct$converged) break if (iter >= maxit) break if (smallest && (Smin/Smax > sqrteps)) { Bsvd2.d <- Bsvd$d Bsvd2.d <- diag(Bsvd2.d, nrow = length(Bsvd2.d)) Bsvd2 <- svd(cbind(Bsvd2.d, t(R))) jj <- seq(ncol(Bsvd2$u), 1, by = -1) Bsvd2$u <- Bsvd2$u[, jj] Bsvd2$d <- Bsvd2$d[jj] Bsvd2$v <- Bsvd2$v[, jj] Bsvd$d <- Bsvd2$d Bsvd$u <- Bsvd$u %*% Bsvd2$u Bsvd$v <- cbind(rbind(Bsvd$v, rep(0, Bsz)), c(rep(0, Bsz), 1)) %*% Bsvd2$v V_B_last <- Bsvd$v[Bsz + 1, 1:k] s <- R_F * solve(B, cbind(c(rep(0, Bsz - 1), 1))) Bsvd$v <- Bsvd$v[1:Bsz, , drop = FALSE] + s %*% Bsvd$v[Bsz + 1, ] qrv <- qr(cbind(rbind(Bsvd$v[, 1:k], 0), rbind(-s, 1))) Bsvd$v <- qr.Q(qrv) R <- qr.R(qrv) V[, 1:(k + 1)] <- cbind(V, F) %*% Bsvd$v UT <- t(R[1:(k + 1), 1:k] + R[, k + 1] %*% rbind(V_B_last)) B <- diag(Bsvd$d[1:k], nrow = k) %*% (UT * upper.tri(UT, diag = TRUE))[1:k, 1:(k + 1)] } else { V[, 1:(k + dim(F)[2])] <- cbind(V[, 1:(dim(Bsvd$v)[1]), drop = FALSE] %*% Bsvd$v[, 1:k], F) B <- cbind(diag(Bsvd$d[1:k], nrow = k), R[1:k]) } if (w_dim > 1) { W[, 1:k] <- W[, 1:(dim(Bsvd$u)[1]), drop = FALSE] %*% Bsvd$u[, 1:k] } iter <- iter + 1 } if (!ct$converged) warning("did not converge--results might be invalid!; try increasing maxit or work") d <- Bsvd$d[1:k_org] if (!right_only) { u <- W[, 1:(dim(Bsvd$u)[1]), drop = FALSE] %*% Bsvd$u[, 1:k_org, drop = FALSE] } v <- V[, 1:(dim(Bsvd$v)[1]), drop = FALSE] %*% Bsvd$v[, 1:k_org, drop = FALSE] if (smallest) { reverse <- seq(length(d), 1) d <- d[reverse] if (!right_only) u <- u[, reverse] v <- v[, reverse] } if (tol * d[1] < eps) warning("convergence criterion below machine epsilon") if (right_only) return(list(d = d, v = v[, 1:nv, drop = FALSE], iter = iter, mprod = mprod)) return(list(d = d, u = u[, 1:nu, drop = FALSE], v = v[, 1:nv, drop = FALSE], iter = iter, mprod = mprod)) })(work = 57, nu = 50, nv = 50, A = new("dgCMatrix", i = c(0L, 1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 31L, 32L, 33L, 34L, 35L, 36L, 37L, 38L, 39L, 40L, 41L, 42L, 43L, 44L, 45L, 46L, 47L, 48L, 49L, 50L, 51L, 52L, 53L, 54L, 55L, 56L, 57L, 58L, 59L, 60L, 61L, 62L, 63L, 64L, 65L, 66L, 67L, 68L, 69L, 70L, 71L, 72L, 73L, 74L, 75L, 76L, 77L, 78L, 79L, 80L, 81L, 82L, 83L, 84L, 85L, 86L, 87L, 88L, 89L, 90L, 91L, 92L, 93L, 94L, 95L, 96L, 97L, 98L, 99L, 100L, 101L, 102L, 103L, 104L, 105L, 106L, 107L, 108L, 109L, 110L, 111L, 112L, 113L, 114L, 115L, 116L, 117L, 118L, 119L, 120L, 121L, 122L, 123L, 124L, 125L, 126L, 127L, 128L, 129L, 130L, 131L, 132L, 133L, 134L, 135L, 136L, 137L, 138L, 139L, 140L, 141L, 142L, 143L, 144L, 145L, 146L, 147L, 148L, 149L, 150L, 151L, 152L, 153L, 154L, 155L, 156L, 157L, 158L, 159L, 160L, 161L, 162L, 163L, 164L, 165L, 166L, 167L, 168L, 169L, 170L, 171L, 172L, 173L, 174L, 175L, 176L, 177L, 178L, 179L, 180L, 181L, 182L, 183L, 184L, 185L, 186L, 187L, 188L, 189L, 190L, 191L, 192L, 193L, 194L, 196L, 197L, 201L, 204L, 206L, 207L, 209L, 213L, 215L, 219L, 220L, 227L, 228L, 230L, 231L, 234L, 235L, 237L, 242L, 243L, 244L, 245L, 246L, 247L, 248L, 249L, 250L, 251L, 252L, 253L, 254L, 255L, 256L, 257L, 258L, 259L, 260L, 261L, 262L, 263L, 264L, 265L, 266L, 267L, 268L, 269L, 270L, 271L, 273L, 274L, 275L, 276L, 277L, 278L, 279L, 280L, 281L, 282L, 283L, 284L, 285L, 286L, 287L, 288L, 290L, 291L, 292L, 293L, 294L, 295L, 297L, 299L, 301L, 302L, 303L, 304L, 305L, 308L, 309L, 310L, 311L, 312L, 313L, 314L, 315L, 316L, 317L, 318L, 319L, 320L, 321L, 322L, 324L, 325L, 326L, 327L, 330L, 331L, 332L, 333L, 334L, 335L, 336L, 337L, 338L, 339L, 340L, 341L, 342L, 343L, 344L, 345L, 346L, 347L, 348L, 349L, 350L, 352L, 353L, 354L, 355L, 356L, 357L, 359L, 360L, 361L, 362L, 363L, 364L, 365L, 366L, 367L, 368L, 369L, 370L, 371L, 372L, 373L, 374L, 375L, 376L, 377L, 378L, 379L, 380L, 381L, 382L, 386L, 387L, 0L, 1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 31L, 32L, 33L, 34L, 35L, 36L, 37L, 38L, 39L, 40L, 41L, 42L, 43L, 44L, 45L, 46L, 47L, 48L, 49L, 50L, 51L, 52L, 53L, 54L, 55L, 56L, 57L, 58L, 59L, 60L, 61L, 62L, 63L, 64L, 65L, 66L, 67L, 68L, 69L, 70L, 71L, 72L, 73L, 74L, 75L, 76L, 77L, 78L, 79L, 80L, 81L, 82L, 83L, 84L, 85L, 86L, 87L, 88L, 89L, 90L, 91L, 92L, 93L, 94L, 95L, 96L, 97L, 98L, 99L, 100L, 101L, 102L, 103L, 104L, 105L, 106L, 107L, 108L, 109L, 110L, 111L, 112L, 113L, 114L, 115L, 116L, 117L, 118L, 119L, 120L, 121L, 122L, 123L, 124L, 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375L, 377L, 378L, 379L, 380L, 381L, 382L, 383L, 384L, 385L, 386L, 387L, 0L, 1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 31L, 32L, 33L, 34L, 35L, 36L, 37L, 38L, 39L, 40L, 41L, 42L, 43L, 44L, 45L, 46L, 47L, 48L, 49L, 50L, 51L, 52L, 53L, 54L, 55L, 56L, 57L, 58L, 59L, 60L, 61L, 62L, 63L, 64L, 65L, 66L, 67L, 68L, 69L, 70L, 71L, 72L, 73L, 74L, 75L, 76L, 77L, 78L, 79L, 80L, 81L, 82L, 83L, 84L, 85L, 86L, 87L, 88L, 89L, 90L, 91L, 92L, 93L, 94L, 95L, 96L, 97L, 98L, 99L, 100L, 101L, 102L, 103L, 104L, 105L, 106L, 107L, 108L, 109L, 110L, 111L, 112L, 113L, 114L, 115L, 116L, 117L, 118L, 119L, 120L, 121L, 122L, 123L, 124L, 125L, 126L, 127L, 128L, 129L, 130L, 131L, 132L, 133L, 134L, 135L, 136L, 137L, 138L, 139L, 140L, 141L, 142L, 143L, 144L, 145L, 146L, 147L, 148L, 149L, 150L, 151L, 152L, 153L, 154L, 155L, 156L, 157L, 158L, 159L, 160L, 161L, 162L, 163L, 164L, 165L, 166L, 167L, 168L, 169L, 170L, 171L, 172L, 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59L, 60L, 61L, 62L, 63L, 64L, 65L, 66L, 67L, 68L, 69L, 70L, 71L, 72L, 73L, 74L, 75L, 76L, 77L, 78L, 79L, 80L, 81L, 82L, 83L, 84L, 85L, 86L, 87L, 88L, 89L, 90L, 91L, 92L, 93L, 94L, 95L, 96L, 97L, 98L, 99L, 100L, 101L, 102L, 103L, 104L, 105L, 106L, 107L, 108L, 109L, 110L, 111L, 112L, 113L, 114L, 115L, 116L, 117L, 118L, 119L, 120L, 121L, 122L, 123L, 124L, 125L, 126L, 127L, 128L, 129L, 130L, 131L, 132L, 133L, 134L, 135L, 136L, 137L, 138L, 139L, 140L, 141L, 142L, 143L, 144L, 145L, 146L, 147L, 148L, 149L, 150L, 151L, 152L, 153L, 154L, 155L, 156L, 157L, 158L, 159L, 160L, 161L, 162L, 163L, 164L, 165L, 166L, 167L, 168L, 169L, 170L, 171L, 172L, 173L, 174L, 175L, 176L, 177L, 178L, 179L, 180L, 181L, 182L, 183L, 184L, 185L, 186L, 187L, 188L, 189L, 190L, 191L, 192L, 193L, 194L, 201L, 202L, 207L, 212L, 230L, 235L, 239L, 240L, 241L, 242L, 243L, 244L, 245L, 247L, 248L, 249L, 250L, 251L, 252L, 254L, 255L, 256L, 258L, 259L, 261L, 263L, 264L, 265L, 266L, 267L, 268L, 273L, 274L, 275L, 276L, 277L, 278L, 279L, 280L, 282L, 284L, 285L, 286L, 288L, 289L, 291L, 292L, 294L, 295L, 296L, 298L, 299L, 300L, 301L, 302L, 303L, 304L, 305L, 306L, 307L, 308L, 309L, 310L, 313L, 314L, 315L, 316L, 317L, 318L, 319L, 320L, 321L, 323L, 324L, 326L, 327L, 328L, 330L, 332L, 333L, 334L, 335L, 336L, 337L, 338L, 339L, 340L, 341L, 342L, 343L, 344L, 345L, 346L, 347L, 348L, 349L, 350L, 351L, 352L, 353L, 354L, 355L, 357L, 360L, 361L, 362L, 363L, 364L, 365L, 366L, 367L, 368L, 369L, 370L, 371L, 372L, 374L, 375L, 376L, 377L, 378L, 379L, 381L, 384L, 385L, 386L, 387L, 0L, 1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 31L, 32L, 33L, 34L, 35L, 36L, 37L, 38L, 39L, 40L, 41L, 42L, 43L, 44L, 45L, 46L, 47L, 48L, 49L, 50L, 51L, 52L, 53L, 54L, 55L, 56L, 57L, 58L, 59L, 60L, 61L, 62L, 63L, 64L, 65L, 66L, 67L, 68L, 69L, 70L, 71L, 72L, 73L, 74L, 75L, 76L, 77L, 78L, 79L, 80L, 81L, 82L, 83L, 84L, 85L, 86L, 87L, 88L, 89L, 90L, 91L, 92L, 93L, 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