Binary files /tmp/tmph1pp9bol/WU5vOxqDlQ/r-cran-splines2-0.5.0/build/vignette.rds and /tmp/tmph1pp9bol/q05yjJzEfT/r-cran-splines2-0.5.1/build/vignette.rds differ
diff -Nru r-cran-splines2-0.5.0/debian/changelog r-cran-splines2-0.5.1/debian/changelog
--- r-cran-splines2-0.5.0/debian/changelog	2023-06-27 19:06:34.000000000 +0000
+++ r-cran-splines2-0.5.1/debian/changelog	2023-08-28 12:35:17.000000000 +0000
@@ -1,3 +1,9 @@
+r-cran-splines2 (0.5.1-1) unstable; urgency=medium
+
+  * New upstream version
+
+ -- Andreas Tille <tille@debian.org>  Mon, 28 Aug 2023 14:35:17 +0200
+
 r-cran-splines2 (0.5.0-1) unstable; urgency=medium
 
   * New upstream version
diff -Nru r-cran-splines2-0.5.0/debian/tests/control r-cran-splines2-0.5.1/debian/tests/control
--- r-cran-splines2-0.5.0/debian/tests/control	2023-06-27 19:06:34.000000000 +0000
+++ r-cran-splines2-0.5.1/debian/tests/control	2023-08-28 12:35:17.000000000 +0000
@@ -1,5 +1,6 @@
 Tests: run-unit-test
-Depends: @, r-cran-testthat,
+Depends: @,
+         r-cran-knitr,
+        r-cran-rmarkdown,
+        r-cran-tinytest
 Restrictions: allow-stderr
-
-
diff -Nru r-cran-splines2-0.5.0/DESCRIPTION r-cran-splines2-0.5.1/DESCRIPTION
--- r-cran-splines2-0.5.0/DESCRIPTION	2023-06-11 20:10:02.000000000 +0000
+++ r-cran-splines2-0.5.1/DESCRIPTION	2023-08-19 20:00:07.000000000 +0000
@@ -1,6 +1,6 @@
 Package: splines2
 Title: Regression Spline Functions and Classes
-Version: 0.5.0
+Version: 0.5.1
 Authors@R: c(
     person(given = "Wenjie", family = "Wang",
            email = "wang@wwenjie.org",
@@ -9,11 +9,11 @@
     person(given = "Jun", family = "Yan", role = "aut",
            comment = c(ORCID = "0000-0003-4401-7296"))
     )
-Description: Constructs basis matrix of B-splines, M-splines,
-    I-splines, convex splines (C-splines), periodic M-splines,
+Description: Constructs basis functions of B-splines, M-splines,
+    I-splines, convex splines (C-splines), periodic splines,
     natural cubic splines, generalized Bernstein polynomials,
-    and their integrals (except C-splines) and derivatives
-    of given order by close-form recursive formulas.
+    their derivatives, and integrals (except C-splines)
+    by closed-form recursive formulas.
     It also contains a C++ head-only library integrated with Rcpp.
     See Wang and Yan (2021) <doi:10.6339/21-JDS1020> for details.
 Imports: stats, graphics, Rcpp
@@ -28,9 +28,9 @@
 Encoding: UTF-8
 RoxygenNote: 7.2.3
 NeedsCompilation: yes
-Packaged: 2023-06-11 17:56:08 UTC; wenjie
+Packaged: 2023-08-19 18:24:19 UTC; wenjie
 Author: Wenjie Wang [aut, cre] (<https://orcid.org/0000-0003-0363-3180>),
   Jun Yan [aut] (<https://orcid.org/0000-0003-4401-7296>)
 Maintainer: Wenjie Wang <wang@wwenjie.org>
 Repository: CRAN
-Date/Publication: 2023-06-11 20:10:02 UTC
+Date/Publication: 2023-08-19 20:00:07 UTC
diff -Nru r-cran-splines2-0.5.0/inst/CITATION r-cran-splines2-0.5.1/inst/CITATION
--- r-cran-splines2-0.5.0/inst/CITATION	2023-06-11 17:55:33.000000000 +0000
+++ r-cran-splines2-0.5.1/inst/CITATION	2023-08-19 18:23:45.000000000 +0000
@@ -8,7 +8,7 @@
         ),
     year = "2023",
     url = "https://CRAN.R-project.org/package=splines2",
-    note = "R package version 0.5.0"
+    note = "R package version 0.5.1"
 )
 
 bibentry(
diff -Nru r-cran-splines2-0.5.0/inst/doc/splines2-intro.html r-cran-splines2-0.5.1/inst/doc/splines2-intro.html
--- r-cran-splines2-0.5.0/inst/doc/splines2-intro.html	2023-06-11 17:56:06.000000000 +0000
+++ r-cran-splines2-0.5.1/inst/doc/splines2-intro.html	2023-08-19 18:24:18.000000000 +0000
@@ -12,7 +12,7 @@
 
 <meta name="author" content="Wenjie Wang" />
 
-<meta name="date" content="2023-06-11" />
+<meta name="date" content="2023-08-19" />
 
 <title>A Short Introduction to splines2</title>
 
@@ -362,7 +362,7 @@
 
 <h1 class="title toc-ignore">A Short Introduction to splines2</h1>
 <h4 class="author">Wenjie Wang</h4>
-<h4 class="date">2023-06-11</h4>
+<h4 class="date">2023-08-19</h4>
 
 
 <div id="TOC">
@@ -444,7 +444,7 @@
 about function usage.</p>
 <div class="sourceCode" id="cb1"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb1-1"><a href="#cb1-1" tabindex="-1"></a><span class="fu">library</span>(splines2)</span>
 <span id="cb1-2"><a href="#cb1-2" tabindex="-1"></a><span class="fu">packageVersion</span>(<span class="st">&quot;splines2&quot;</span>)</span></code></pre></div>
-<pre><code>## [1] &#39;0.5.0&#39;</code></pre>
+<pre><code>## [1] &#39;0.5.1&#39;</code></pre>
 <p><br /></p>
 </div>
 <div id="bSpline" class="section level1" number="2">
diff -Nru r-cran-splines2-0.5.0/inst/doc/splines2-wi-rcpp.html r-cran-splines2-0.5.1/inst/doc/splines2-wi-rcpp.html
--- r-cran-splines2-0.5.0/inst/doc/splines2-wi-rcpp.html	2023-06-11 17:56:07.000000000 +0000
+++ r-cran-splines2-0.5.1/inst/doc/splines2-wi-rcpp.html	2023-08-19 18:24:18.000000000 +0000
@@ -12,7 +12,7 @@
 
 <meta name="author" content="Wenjie Wang" />
 
-<meta name="date" content="2023-06-11" />
+<meta name="date" content="2023-08-19" />
 
 <title>Using splines2 with Rcpp</title>
 
@@ -362,7 +362,7 @@
 
 <h1 class="title toc-ignore">Using splines2 with Rcpp</h1>
 <h4 class="author">Wenjie Wang</h4>
-<h4 class="date">2023-06-11</h4>
+<h4 class="date">2023-08-19</h4>
 
 
 <div id="TOC">
diff -Nru r-cran-splines2-0.5.0/inst/examples/ex-bSpline.R r-cran-splines2-0.5.1/inst/examples/ex-bSpline.R
--- r-cran-splines2-0.5.0/inst/examples/ex-bSpline.R	2023-04-13 20:44:37.000000000 +0000
+++ r-cran-splines2-0.5.1/inst/examples/ex-bSpline.R	2023-06-30 17:35:42.000000000 +0000
@@ -1,23 +1,20 @@
 library(splines2)
 
+set.seed(1)
 x <- runif(100)
 knots <- c(0.3, 0.5, 0.6) # internal knots
 
 ## cubic B-splines
 bsMat <- bSpline(x, knots = knots, degree = 3, intercept = TRUE)
-## the integrals
-ibsMat <- ibs(x, knots = knots, degree = 3, intercept = TRUE)
-## the first derivatives
-d1Mat <- deriv(bsMat)
-## the second derivaitves
-d2Mat <- deriv(bsMat, 2)
-
-op <- par(mfrow = c(2, 2))
-plot(bsMat, main = "Cubic B-splines")
-plot(ibsMat, main = "The integrals")
-plot(d1Mat, main = "The first derivatives")
-plot(d2Mat, main = "The second derivatives")
-par(op) # reset to previous plotting settings
+ibsMat <- update(bsMat, integral = TRUE) # the integrals
+d1Mat <- deriv(bsMat)                    # the 1st derivaitves
+d2Mat <- deriv(bsMat, 2)                 # the 2nd derivaitves
+
+op <- par(mfrow = c(2, 2), mar = c(2.5, 2.5, 0.2, 0.1), mgp = c(1.5, 0.5, 0))
+plot(bsMat, ylab = "Cubic B-splines")
+plot(ibsMat, ylab = "The integrals")
+plot(d1Mat, ylab = "The 1st derivatives")
+plot(d2Mat, ylab = "The 2nd derivatives")
 
 ## evaluate at new values
 predict(bsMat, c(0.125, 0.801))
@@ -26,12 +23,12 @@
 px <- seq(0, 3, 0.01)
 pbsMat <- bSpline(px, knots = knots, Boundary.knots = c(0, 1),
                   intercept = TRUE, periodic = TRUE)
-ipMat <- ibs(px, knots = knots, Boundary.knots = c(0, 1),
-             intercept = TRUE, periodic = TRUE)
+ipMat <- update(pbsMat, integral = TRUE)
 dpMat <- deriv(pbsMat)
+dp2Mat <- deriv(pbsMat, 2)
 
-op <- par(mfrow = c(1, 3))
-plot(pbsMat, main = "Periodic B-splines", mark_knots = "b")
-plot(ipMat, main = "The integrals", mark_knots = "b")
-plot(dpMat, main = "The first derivatives", mark_knots = "b")
+plot(pbsMat, ylab = "Periodic B-splines", mark_knots = "b")
+plot(ipMat, ylab = "The integrals", mark_knots = "b")
+plot(dpMat, ylab = "The 1st derivatives", mark_knots = "b")
+plot(dp2Mat, ylab = "The 2nd derivatives", mark_knots = "b")
 par(op) # reset to previous plotting settings
diff -Nru r-cran-splines2-0.5.0/man/bSpline.Rd r-cran-splines2-0.5.1/man/bSpline.Rd
--- r-cran-splines2-0.5.0/man/bSpline.Rd	2023-06-10 17:48:06.000000000 +0000
+++ r-cran-splines2-0.5.1/man/bSpline.Rd	2023-06-30 17:36:57.000000000 +0000
@@ -144,24 +144,21 @@
 \examples{
 library(splines2)
 
+set.seed(1)
 x <- runif(100)
 knots <- c(0.3, 0.5, 0.6) # internal knots
 
 ## cubic B-splines
 bsMat <- bSpline(x, knots = knots, degree = 3, intercept = TRUE)
-## the integrals
-ibsMat <- ibs(x, knots = knots, degree = 3, intercept = TRUE)
-## the first derivatives
-d1Mat <- deriv(bsMat)
-## the second derivaitves
-d2Mat <- deriv(bsMat, 2)
-
-op <- par(mfrow = c(2, 2))
-plot(bsMat, main = "Cubic B-splines")
-plot(ibsMat, main = "The integrals")
-plot(d1Mat, main = "The first derivatives")
-plot(d2Mat, main = "The second derivatives")
-par(op) # reset to previous plotting settings
+ibsMat <- update(bsMat, integral = TRUE) # the integrals
+d1Mat <- deriv(bsMat)                    # the 1st derivaitves
+d2Mat <- deriv(bsMat, 2)                 # the 2nd derivaitves
+
+op <- par(mfrow = c(2, 2), mar = c(2.5, 2.5, 0.2, 0.1), mgp = c(1.5, 0.5, 0))
+plot(bsMat, ylab = "Cubic B-splines")
+plot(ibsMat, ylab = "The integrals")
+plot(d1Mat, ylab = "The 1st derivatives")
+plot(d2Mat, ylab = "The 2nd derivatives")
 
 ## evaluate at new values
 predict(bsMat, c(0.125, 0.801))
@@ -170,14 +167,14 @@
 px <- seq(0, 3, 0.01)
 pbsMat <- bSpline(px, knots = knots, Boundary.knots = c(0, 1),
                   intercept = TRUE, periodic = TRUE)
-ipMat <- ibs(px, knots = knots, Boundary.knots = c(0, 1),
-             intercept = TRUE, periodic = TRUE)
+ipMat <- update(pbsMat, integral = TRUE)
 dpMat <- deriv(pbsMat)
+dp2Mat <- deriv(pbsMat, 2)
 
-op <- par(mfrow = c(1, 3))
-plot(pbsMat, main = "Periodic B-splines", mark_knots = "b")
-plot(ipMat, main = "The integrals", mark_knots = "b")
-plot(dpMat, main = "The first derivatives", mark_knots = "b")
+plot(pbsMat, ylab = "Periodic B-splines", mark_knots = "b")
+plot(ipMat, ylab = "The integrals", mark_knots = "b")
+plot(dpMat, ylab = "The 1st derivatives", mark_knots = "b")
+plot(dp2Mat, ylab = "The 2nd derivatives", mark_knots = "b")
 par(op) # reset to previous plotting settings
 }
 \references{
diff -Nru r-cran-splines2-0.5.0/man/naturalSpline.Rd r-cran-splines2-0.5.1/man/naturalSpline.Rd
--- r-cran-splines2-0.5.0/man/naturalSpline.Rd	2023-06-07 02:58:19.000000000 +0000
+++ r-cran-splines2-0.5.1/man/naturalSpline.Rd	2023-06-30 00:24:15.000000000 +0000
@@ -73,8 +73,8 @@
 \item{trim}{The fraction (0 to 0.5) of observations to be trimmed from each
 end of \code{x} before placing the default internal and boundary knots.
 This argument will be ignored if \code{Boundary.knots} is specified.
-The default value is \code{0} for backward compatability, which sets the
-boudary knots as the range of |code{x}.  If a positive fraction is
+The default value is \code{0} for backward compatibility, which sets the
+boundary knots as the range of \code{x}.  If a positive fraction is
 specified, the default boundary knots will be equivalent to
 \code{quantile(x, probs = c(trim, 1 - trim), na.rm = TRUE)}, which can
 be a more sensible choice in practice due to the existence of outliers.
diff -Nru r-cran-splines2-0.5.0/man/splines2.Rd r-cran-splines2-0.5.1/man/splines2.Rd
--- r-cran-splines2-0.5.0/man/splines2.Rd	2023-06-10 17:49:05.000000000 +0000
+++ r-cran-splines2-0.5.1/man/splines2.Rd	2023-08-19 18:16:21.000000000 +0000
@@ -3,6 +3,7 @@
 \docType{package}
 \name{splines2}
 \alias{splines2}
+\alias{splines2-package}
 \title{splines2: Regression Spline Functions and Classes}
 \description{
 This package provides functions to construct basis matrices of
diff -Nru r-cran-splines2-0.5.0/MD5 r-cran-splines2-0.5.1/MD5
--- r-cran-splines2-0.5.0/MD5	2023-06-11 20:10:02.000000000 +0000
+++ r-cran-splines2-0.5.1/MD5	2023-08-19 20:00:07.000000000 +0000
@@ -1,6 +1,6 @@
-d3e7a1ebe798dad33157393e48a381d0 *DESCRIPTION
+c6f9a8117bb354712274aa94ffdb8187 *DESCRIPTION
 bcc21228edc85b98332c9410bfc08dcd *NAMESPACE
-26689ffae1f000702377a2b74330693c *NEWS.md
+94f77e934ab033630282e5be9d95784a *NEWS.md
 68a43fe4d30924665636b6ab92e6def2 *R/RcppExports.R
 c9cec53d451b8a788f8282f47c4bfa84 *R/bSpline.R
 c6617bd108b25245af78cee6c1c91efe *R/bernsteinPoly.R
@@ -12,23 +12,23 @@
 9746496224e5888f10d97b1e0df59369 *R/mSpline.R
 1940aa88f996a61012babc2b65239d64 *R/makepredictcall.R
 be95769419905fb65ff29eca16b4e670 *R/misc.R
-319adc60c6fe3f4afc81c8279a73779e *R/naturalSpline.R
+734395eb2b4e95919063cd4347f70026 *R/naturalSpline.R
 e6280492872023dc93044e1acd91b1be *R/plot.R
 9ab08b9a2c35196cb8e9a8956290a003 *R/predict.R
 b5693787113a3a4d2caef374342184b7 *R/print.R
-e667e1883f3bce0ac640d7424be66445 *R/splines2-package.R
+ef25e72f39b819f14a28519472e73db0 *R/splines2-package.R
 a1e6e15524a934cabe2068b1f336e1a1 *R/update.R
 8447f8a53c1e84f0ad02c0c3cb4022f0 *R/zzz.R
-3235d2d740dffd8f1539614dbf8eeba9 *README.md
-eae5666416a468b54217395c5cf53cef *build/vignette.rds
-ed08eb72ad6d706e0f2a804a2e15891c *inst/CITATION
+abbd702c6b51d618d8c2ef5458cc7757 *README.md
+679e96e316af0594363e608e543a3829 *build/vignette.rds
+4340ebbcff1dfb213c256bc15c5e1414 *inst/CITATION
 83e11a62d0abf8387bfcf8310693b0b8 *inst/bib/splines2.bib
 2724f033d095ee9fab0c8be0e9a2cdf8 *inst/doc/splines2-intro.R
 e5f7f59e54f4fa196263bcfbc91cf0df *inst/doc/splines2-intro.Rmd
-ffa7990292c4bb681008fa580a9455fd *inst/doc/splines2-intro.html
+65d6c816f04af74ab80491cfcd708bdf *inst/doc/splines2-intro.html
 101b59ecbfce0dd8762a3bbe473b1407 *inst/doc/splines2-wi-rcpp.Rmd
-12d07c2cac7e1a7c052ca7eeb8a54f44 *inst/doc/splines2-wi-rcpp.html
-1ce8d4a5279045f35214b9ed9b1cc53d *inst/examples/ex-bSpline.R
+02756cf15a6ae41b386a8b9c154fc086 *inst/doc/splines2-wi-rcpp.html
+1b4278b7f20aee4e8f67233232f9ddfb *inst/examples/ex-bSpline.R
 843d187e13f2ced3fa891796cf826275 *inst/examples/ex-bernsteinPoly.R
 31109e342cd3f84236b3647225f95e6d *inst/examples/ex-cSpline.R
 e4a8667814d05d10e8f5508676df2edc *inst/examples/ex-deriv.R
@@ -84,17 +84,17 @@
 8a2624c82a7da0b188ab91609220c43e *inst/tinytest/test-update.R
 0a7dba2b9760ab7526f8287a65c54994 *inst/tinytest/utils.R
 012f00f4a21841b8f30237bc559ad3e4 *inst/v0.2.8.R
-1bf722ada569dc5c4205f1b16ab41e7a *man/bSpline.Rd
+4f50fd54a6bdb47905a7dfdf649de176 *man/bSpline.Rd
 e03d3d4eb5d7c24f817a7b6e1a602ce4 *man/bernsteinPoly.Rd
 751f65cd70fab30554fe7df5c86a3be1 *man/cSpline.Rd
 0bf26bfd1f582fdb5f61182f4877e6e2 *man/deriv.Rd
 b2dda95d0ba3b1c150b6bd1021e2849b *man/iSpline.Rd
 6c6e3aa490375138ebcc7ee6ba213542 *man/knots.Rd
 fdcccf53a2e4a63fed5d7a16ecaddf96 *man/mSpline.Rd
-612fa85a37a3eeec1b101fcf21895ff6 *man/naturalSpline.Rd
+1fba1b815cc4aeb81e6a86c533494c89 *man/naturalSpline.Rd
 25241a9156eafa71092ae7ef5221cec9 *man/plot.splines2.Rd
 2377c21e429cecad6d587a59e6157b5c *man/predict.Rd
-809c07b819c1896f6aa2f7aff8093eee *man/splines2.Rd
+69a0ba5ea738c575d7b48a7fcaa6fe82 *man/splines2.Rd
 9f5a06e51e4a909cd6d405de87e83ede *man/update.Rd
 8e2f5a16098b61b7b003f066f73fd0c6 *src/Makevars
 2f634a6bd06b673a6333fe2846188f54 *src/Makevars.win
diff -Nru r-cran-splines2-0.5.0/NEWS.md r-cran-splines2-0.5.1/NEWS.md
--- r-cran-splines2-0.5.0/NEWS.md	2023-06-09 21:35:10.000000000 +0000
+++ r-cran-splines2-0.5.1/NEWS.md	2023-08-19 18:21:50.000000000 +0000
@@ -1,10 +1,17 @@
+# splines2 0.5.1
+
+## Minor changes
+
+* Fix broken `@docType package` documentation.
+
+
 # splines2 0.5.0
 
 ## New features
 
 * Added a new function named `nsk()` for natural cubic spline basis functions
-  following the function `survival::nsk()` (of **survival** package version
-  3.2-8).
+  following the function `survival::nsk()` (introduced in **survival** package
+  version 3.2-8).
 * Added `plot()` methods to quickly visualize the spline basis functions.
 * Added `$` method to extract an attribute of the returned `splines2` object.
 * Added a new argument named `periodic` to `bSpline()` for periodic B-splines
@@ -37,7 +44,7 @@
 
 * Adjusted the class order of the returned objects.
 * Adjusted the default placement of the internal knots from the specified `df`
-  to be equidistant if the internal knots resulted from quantiles are
+  to be equidistant if the internal knots resulting from quantiles are
   problematic.  A warning will be thrown out in that case.
 
 
diff -Nru r-cran-splines2-0.5.0/R/naturalSpline.R r-cran-splines2-0.5.1/R/naturalSpline.R
--- r-cran-splines2-0.5.0/R/naturalSpline.R	2023-06-11 17:55:33.000000000 +0000
+++ r-cran-splines2-0.5.1/R/naturalSpline.R	2023-08-19 18:23:45.000000000 +0000
@@ -76,8 +76,8 @@
 ##' @param trim The fraction (0 to 0.5) of observations to be trimmed from each
 ##'     end of \code{x} before placing the default internal and boundary knots.
 ##'     This argument will be ignored if \code{Boundary.knots} is specified.
-##'     The default value is \code{0} for backward compatability, which sets the
-##'     boudary knots as the range of |code{x}.  If a positive fraction is
+##'     The default value is \code{0} for backward compatibility, which sets the
+##'     boundary knots as the range of \code{x}.  If a positive fraction is
 ##'     specified, the default boundary knots will be equivalent to
 ##'     \code{quantile(x, probs = c(trim, 1 - trim), na.rm = TRUE)}, which can
 ##'     be a more sensible choice in practice due to the existence of outliers.
diff -Nru r-cran-splines2-0.5.0/R/splines2-package.R r-cran-splines2-0.5.1/R/splines2-package.R
--- r-cran-splines2-0.5.0/R/splines2-package.R	2023-06-11 17:55:33.000000000 +0000
+++ r-cran-splines2-0.5.1/R/splines2-package.R	2023-08-19 18:23:45.000000000 +0000
@@ -53,4 +53,5 @@
 ##'
 ##' @docType package
 ##' @name splines2
+##' @aliases splines2-package
 NULL
diff -Nru r-cran-splines2-0.5.0/README.md r-cran-splines2-0.5.1/README.md
--- r-cran-splines2-0.5.0/README.md	2023-06-10 17:43:17.000000000 +0000
+++ r-cran-splines2-0.5.1/README.md	2023-06-30 18:19:56.000000000 +0000
@@ -10,6 +10,9 @@
 [![codecov](https://codecov.io/gh/wenjie2wang/splines2/branch/main/graph/badge.svg)](https://app.codecov.io/gh/wenjie2wang/splines2)
 [![JDS](https://img.shields.io/badge/JDS-10.6339%2F21--JDS1020-brightgreen)](https://doi.org/10.6339/21-JDS1020)
 
+**Package website**: [release](https://wwenjie.org/splines2) \|
+[development](https://wwenjie.org/splines2/dev)
+
 The R package **splines2** is intended to be a user-friendly
 *supplementary* package to the base package **splines**.
 
@@ -117,9 +120,9 @@
 
     Unit: relative
                       expr    min     lq   mean median     uq    max neval
-               splines::bs 3.7436 3.4926 3.1921 3.4031 2.6869 11.752   100
-     splines::splineDesign 2.2036 1.9882 1.8818 2.2010 1.8087  1.526   100
-         splines2::bSpline 1.0000 1.0000 1.0000 1.0000 1.0000  1.000   100
+               splines::bs 3.7782 3.4316 3.1477 3.3053 2.7155 9.1782   100
+     splines::splineDesign 2.2235 1.9719 1.9135 2.1350 1.8306 2.3227   100
+         splines2::bSpline 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000   100
 
 Similarly, for derivatives of B-splines, `splines2::dbs()` provides
 equivalent results with `splines::splineDesign()`, and is about 2x
@@ -140,8 +143,8 @@
 
     Unit: relative
                       expr    min     lq   mean median     uq    max neval
-     splines::splineDesign 2.6164 2.4731 2.2448 2.3549 2.2794 2.4721   100
-             splines2::dbs 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000   100
+     splines::splineDesign 2.6144 2.4443 2.1666   2.36 1.9582 1.7738   100
+             splines2::dbs 1.0000 1.0000 1.0000   1.00 1.0000 1.0000   100
 
 The **splines** package does not contain an implementation for integrals
 of B-splines. Thus, we performed a comparison with package **ibs**
@@ -165,8 +168,8 @@
 
     Unit: relative
               expr    min     lq   mean median     uq    max neval
-          ibs::ibs 5.5027 3.3342 2.8307 2.2884 2.3791 2.9254   100
-     splines2::ibs 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000   100
+          ibs::ibs 20.382 18.161 19.486 18.738 18.824 25.698   100
+     splines2::ibs  1.000  1.000  1.000  1.000  1.000  1.000   100
 
 The function `ibs::ibs()` returns the integrated B-splines instead of
 the integrals of spline basis functions. Thus, we applied the same
@@ -192,9 +195,9 @@
 ```
 
     Unit: relative
-              expr    min    lq   mean median     uq    max neval
-       splines::ns 4.7013 4.507 4.4629 4.2396 4.3745 6.3726   100
-     splines2::nsp 1.0000 1.000 1.0000 1.0000 1.0000 1.0000   100
+              expr    min     lq   mean median     uq    max neval
+       splines::ns 4.7595 4.4793 4.4742 4.3056 4.2125 6.0708   100
+     splines2::nsp 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000   100
 
 The functions `bSpline()` and `mSpline()` produce periodic spline basis
 functions based on B-splines and M-splines, respectively, when
@@ -221,10 +224,10 @@
 ```
 
     Unit: relative
-                  expr    min     lq   mean median     uq     max neval
-              pbs::pbs 4.0814 4.0106 3.4113 3.9190 3.7361 1.30690   100
-     splines2::bSpline 1.0000 1.0000 1.0000 1.0000 1.0000 1.00000   100
-     splines2::mSpline 1.1459 1.1596 0.9680 1.1554 1.1475 0.12873   100
+                  expr    min     lq    mean median     uq     max neval
+              pbs::pbs 3.9822 3.9709 3.35972 3.9262 3.6969 1.26560   100
+     splines2::bSpline 1.0000 1.0000 1.00000 1.0000 1.0000 1.00000   100
+     splines2::mSpline 1.1411 1.1505 0.95812 1.1814 1.1423 0.12699   100
 
 <details>
 <summary>
@@ -235,13 +238,12 @@
 sessionInfo()
 ```
 
-    R version 4.3.0 (2023-04-21)
+    R version 4.3.1 (2023-06-16)
     Platform: x86_64-pc-linux-gnu (64-bit)
     Running under: Arch Linux
 
     Matrix products: default
-    BLAS:   /usr/lib/libopenblas.so.0.3 
-    LAPACK: /usr/lib/liblapack.so.3.11.0
+    BLAS/LAPACK: /usr/lib/libopenblas.so.0.3;  LAPACK version 3.11.0
 
     locale:
      [1] LC_CTYPE=en_US.UTF-8       LC_NUMERIC=C               LC_TIME=en_US.UTF-8       
@@ -256,12 +258,12 @@
     [1] splines   stats     graphics  grDevices utils     datasets  methods   base     
 
     other attached packages:
-    [1] splines2_0.5.0        microbenchmark_1.4.10
+    [1] splines2_0.5.1.9000   microbenchmark_1.4.10
 
     loaded via a namespace (and not attached):
      [1] digest_0.6.31    codetools_0.2-19 ibs_1.4          fastmap_1.1.1    xfun_0.39       
      [6] pbs_1.1          knitr_1.43       htmltools_0.5.5  rmarkdown_2.21   cli_3.6.0       
-    [11] compiler_4.3.0   tools_4.3.0      evaluate_0.21    Rcpp_1.0.10      yaml_2.3.7      
+    [11] compiler_4.3.1   tools_4.3.1      evaluate_0.21    Rcpp_1.0.10      yaml_2.3.7      
     [16] rlang_1.1.1     
 
 </details>