new latex package calculator (11jun12)

git-svn-id: svn://tug.org/texlive/trunk@27112 c570f23f-e606-0410-a88d-b1316a301751

59 files changed, 547 insertions, 0 deletions

diff --git a/Master/texmf-dist/doc/latex/calculator/README b/Master/texmf-dist/doc/latex/calculator/README
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+
+The calculator and calculus packages: Use \LaTeX as a scientific calculator.
+
+Robert Fuster, 2012
+
+
+1. Licence
+----------
+This material is subject to the LaTeX Project Public License. 
+
+See http://www.ctan.org/tex-archive/help/Catalogue/licenses.lppl.html 
+for the details of that license.
+
+
+2. About the packages
+---------------------
+
+The calculator and calculus packages define several instructions which allow us 
+to realize algebraic operations and to evaluate elementary functions and derivatives
+in our documents.
+
+My main goal is to define the arithmetic and functional claculations I need in my 
+package "xpicture" (http://www.upv.es/~rfuster/xpicture), but the numeric abilities
+of "calculator" and "calculus" may be useful in other contexts.
+
+2.1 The calculator package
+--------------------------
+
+The operations implemented by the calculator package include
+- arithmetical calculations with  real and integer numbers 
+- two and three dimensional vectors and matrices arithmetics 
+- computation of powers, square roots, trigonometrical, exponential, logarithmic and 
+  hyperbolic functions. 
+
+In addition, some important numbers, such as pi, sqrt(2) or e, are predefined.
+
+Some simple examples:
+
+a) Simplify a fraction: if you type
+
+   \FRACTIONSIMPLIFY{252}{2220}{\num}{\den}
+
+    Then, $\num/\den$ equals to 21/186 
+
+b) Compute elementary functions:
+
+   \LOG{2}{\sol}  ---> \sol equals 0.69315
+
+   \LOG[10]{2}{\sol} ---> \sol equals 0.30103
+
+   \SIN{\numberHALFPI}{\sol} ---> \sol equals 1
+ 
+c) More complex calculations:
+   You can compute the value of sqrt(7.25)cos(pi/7) by typing
+
+   \SQRT{7.25}{\tempa}
+   \DIVIDE{\numberPI}{7}{\tempb}
+   \COS{\tempb}{\tempc}
+   \MULTIPLY{\tempa}{\tempa}{\sol}
+
+   Then, the value 2.42589 is stored in \sol.
+
+d) Vectors and matrices:
+
+   \SCALARPRODUCT(1,2)(2,1){\sol}  ---> \sol equals 4
+
+   \MATRIXPRODUCT(1,1;-1,2)(0,-1;1,1)(\sola,\solb;\solc,\sold)
+        ---> \sola, \solb, \solc, \sold equals 1, 0, 2, 3.
+
+
+2.2. The calculus package
+-------------------------
+
+This package adds to the calculator package several utilities to use and define 
+real functions and their derivatives, including elementary functions, 
+operations with functions, vector-valuated functions polar coordinates.
+When you call a "function", this function ant its derivative are evaluated simultaneously.
+
+Examples:
+
+a) Predefined functions:
+
+   \SINfunction{\numberPI}{\sol}{\Dsol} ---> 
+                     \sol equals to 0 (=sin(pi)), and \Dsol equals -1 (=cos(pi)), 
+                     because cos(t) is the derivative of sin(t).
+
+b) Defining new functions: You can define the function f(t)=exp(2t)cos(t)-t 
+with the following code:
+
+   \SCALEVARIABLEfunction{2}{\EXPfunction}{\functionA}  % A=e^(2t)
+   \MULTIPLY{\functionA}{\COSfunction}{\functionB}      % b=e^(2t)cos(t)
+   \SUBTRACTfunction{\functionB}{\IDENTITYfunction}{\functionF} % My function
+
+Then, \functionF{num}{\sol}{\Dsol} stores f(num) and f'(num) in \sol and \Dsol. 
+
+
+3. Installation and documentation
+---------------------------------
+
+By compiling the source file "calculator.dtx" in the following sequence 
+
+>> pdflatex calculator.dtx
+>> makeindex -s gind.ist -o calculator.ind calculator.idx
+>> makeindex -s gglo.ist -o calculator.gls calculator.glo
+>> pdflatex calculator.dtx
+
+several files will be generated:
+
+ "calculator.sty" and "calculus.sty" (the packages). 
+     Move these two files where LaTeX  search for (typically, in a local texmf tree, 
+     at tex/latex/calculator) and refresh the file database.
+
+ "calculator.pdf" (the user manual)
+
+In addition, many small files, named "calculatorNN.tex" are generated.
+These files contain the source code of all examples included in the manual.
+You can store or discard this files.
+
+---------------------------------------------------
+Robert Fuster
+rfuster@mat.upv.es
+
+Universitat Polit\`ecnica de Val\`encia, 2012/05/19
+---------------------------------------------------
+
+
+
+
+
+   
+
+
+
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator.pdf b/Master/texmf-dist/doc/latex/calculator/calculator.pdf
new file mode 100644
index 00000000000..51d5fdc7f21
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator.pdf
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator1.tex b/Master/texmf-dist/doc/latex/calculator/calculator1.tex
new file mode 100644
index 00000000000..384de7ddb83
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator1.tex
@@ -0,0 +1,16 @@
+%  \tempA=2,5^2
+  \SQUARE{2.5}{\tempA}
+%  \tempB=sqrt(12)
+  \SQUAREROOT{12}{\tempB}
+% \tempC=exp(3,4)
+  \EXP{3.4}{\tempC}
+%  \divisio=\tempA/tempB
+  \DIVIDE{\tempA}{\tempB}{\divisio}
+% \sol=\divisio+\tempC
+  \ADD{\divisio}{\tempC}{\sol}
+\begin{align*}
+\frac{2.5^2}{\sqrt{12}}+\mathrm{e}^{3.4}
+      &= \frac{\tempA}{\tempB}+\tempC \\
+      &= \divisio+\tempC \\
+      &=\sol
+\end{align*}
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator10.tex b/Master/texmf-dist/doc/latex/calculator/calculator10.tex
new file mode 100644
index 00000000000..9f94dd02ada
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator10.tex
@@ -0,0 +1,2 @@
+\LENGTHDIVIDE{1in}{1cm}{\sol}
+One inch equals $\sol$ centimeters.
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator11.tex b/Master/texmf-dist/doc/latex/calculator/calculator11.tex
new file mode 100644
index 00000000000..6864af9ad58
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator11.tex
@@ -0,0 +1,2 @@
+\SQUARE{-1.256}{\sol}
+$(-1.256)^2=\sol$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator12.tex b/Master/texmf-dist/doc/latex/calculator/calculator12.tex
new file mode 100644
index 00000000000..2092630e261
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator12.tex
@@ -0,0 +1,2 @@
+\CUBE{-1.256}{\sol}
+$(-1.256)^3=\sol$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator13.tex b/Master/texmf-dist/doc/latex/calculator/calculator13.tex
new file mode 100644
index 00000000000..b66337da47e
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator13.tex
@@ -0,0 +1,12 @@
+\POWER{-1.256}{-5}{\sola}
+\POWER{-1.256}{5}{\solb}
+\POWER{-1.256}{0}{\solc}
+\[
+\begin{aligned}
+(-1.256)^{-5}&=\sola
+\\
+(-1.256)^{5}&=\solb
+\\
+(-1.256)^{0}&=\solc
+\end{aligned}
+\]
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator14.tex b/Master/texmf-dist/doc/latex/calculator/calculator14.tex
new file mode 100644
index 00000000000..cc98a935aec
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator14.tex
@@ -0,0 +1,2 @@
+\ABSVALUE{-1.256}{\sol}
+$\left\vert-1.256\right\vert=\sol$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator15.tex b/Master/texmf-dist/doc/latex/calculator/calculator15.tex
new file mode 100644
index 00000000000..45ebda7c91f
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator15.tex
@@ -0,0 +1,4 @@
+\INTEGERPART{1.256}{\sola}
+\INTEGERPART{-1.256}{\solb}
+The integer part of  $1.256$ is $\sola$,
+but the integer part of $-1.256$ is $\solb$.
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator16.tex b/Master/texmf-dist/doc/latex/calculator/calculator16.tex
new file mode 100644
index 00000000000..56fad96daba
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator16.tex
@@ -0,0 +1,2 @@
+\FLOOR{1.256}{\sol}
+The integer part of $1.256$ is $\sol$.
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator17.tex b/Master/texmf-dist/doc/latex/calculator/calculator17.tex
new file mode 100644
index 00000000000..01050f4b105
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator17.tex
@@ -0,0 +1,5 @@
+\FRACTIONALPART{1.256}{\sol}
+\sol
+
+\FRACTIONALPART{-1.256}{\sol}
+\sol
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator18.tex b/Master/texmf-dist/doc/latex/calculator/calculator18.tex
new file mode 100644
index 00000000000..5b003431148
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator18.tex
@@ -0,0 +1,8 @@
+\TRUNCATE[0]{1.25688}{\sol}
+\sol
+
+\TRUNCATE[2]{1.25688}{\sol}
+\sol
+
+\TRUNCATE[4]{1.25688}{\sol}
+\sol
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator19.tex b/Master/texmf-dist/doc/latex/calculator/calculator19.tex
new file mode 100644
index 00000000000..d6d05c21da2
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator19.tex
@@ -0,0 +1,8 @@
+\ROUND[0]{1.25688}{\sol}
+\sol
+
+\ROUND[2]{1.25688}{\sol}
+\sol
+
+\ROUND[4]{1.25688}{\sol}
+\sol
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator2.tex b/Master/texmf-dist/doc/latex/calculator/calculator2.tex
new file mode 100644
index 00000000000..6136ee24cdf
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator2.tex
@@ -0,0 +1,14 @@
+\SQUARE{5}\sol
+The \texttt{\textbackslash sol}
+command contains the square of $5$:
+\[5^2=\sol\]
+\begin{center}
+\SQUAREROOT{5}\sol
+Now, the \texttt{\textbackslash sol}
+command is the square root of $5$:
+\[\sqrt{5}=\sol\]
+\end{center}
+On having gone out of the \texttt{center}
+environment,
+the command recovers its previous value:
+\sol
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator20.tex b/Master/texmf-dist/doc/latex/calculator/calculator20.tex
new file mode 100644
index 00000000000..c3edaec1594
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator20.tex
@@ -0,0 +1,14 @@
+\INTEGERDIVISION{435}{27}{\sola}{\solb}
+$435=27\times\sola+\solb$
+
+\INTEGERDIVISION{27}{435}{\sola}{\solb}
+$27=435\times\sola+\solb$
+
+\INTEGERDIVISION{-435}{27}{\sola}{\solb}
+$-435=27\times(\sola)+\solb$
+
+\INTEGERDIVISION{435}{-27}{\sola}{\solb}
+$435=-27\times(\sola)+\solb$
+
+\INTEGERDIVISION{-435}{-27}{\sola}{\solb}
+$-435=-27\times\sola+\solb$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator21.tex b/Master/texmf-dist/doc/latex/calculator/calculator21.tex
new file mode 100644
index 00000000000..015b06455a3
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator21.tex
@@ -0,0 +1,8 @@
+\INTEGERQUOTIENT{435}{27}{\sol}
+\sol
+
+\INTEGERQUOTIENT{27}{435}{\sol}
+\sol
+
+\INTEGERQUOTIENT{-43.5}{2.7}{\sol}
+\sol
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator22.tex b/Master/texmf-dist/doc/latex/calculator/calculator22.tex
new file mode 100644
index 00000000000..cbbc842b31c
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator22.tex
@@ -0,0 +1,8 @@
+\MODULO{435}{27}{\sol}
+\[
+435 \equiv \sol \pmod{27}
+\]
+\MODULO{-435}{27}{\sol}
+\[
+-435 \equiv \sol \pmod{27}
+\]
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator23.tex b/Master/texmf-dist/doc/latex/calculator/calculator23.tex
new file mode 100644
index 00000000000..b2175182b9d
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator23.tex
@@ -0,0 +1,2 @@
+\GCD{435}{27}{\sol}
+$\gcd(435,27)=\sol$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator24.tex b/Master/texmf-dist/doc/latex/calculator/calculator24.tex
new file mode 100644
index 00000000000..685027f4f98
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator24.tex
@@ -0,0 +1,3 @@
+\newcommand{\lcm}{\operatorname{lcm}}
+\LCM{435}{27}{\sol}
+$\lcm(435,27)=\sol$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator25.tex b/Master/texmf-dist/doc/latex/calculator/calculator25.tex
new file mode 100644
index 00000000000..ed5a5bb26f1
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator25.tex
@@ -0,0 +1,2 @@
+\FRACTIONSIMPLIFY{435}{27}{\sola}{\solb}
+$435/27=\sola/\solb$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator26.tex b/Master/texmf-dist/doc/latex/calculator/calculator26.tex
new file mode 100644
index 00000000000..6df41c19e8a
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator26.tex
@@ -0,0 +1,2 @@
+\SQUAREROOT{1.44}{\sol}
+$\sqrt{1.44}=\sol$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator27.tex b/Master/texmf-dist/doc/latex/calculator/calculator27.tex
new file mode 100644
index 00000000000..41fd8b4ed82
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator27.tex
@@ -0,0 +1,2 @@
+\EXP{0.5}{\sol}
+$\exp(0.5)=\sol$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator28.tex b/Master/texmf-dist/doc/latex/calculator/calculator28.tex
new file mode 100644
index 00000000000..0a8af280fa0
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator28.tex
@@ -0,0 +1,6 @@
+\EXP[10]{1.3}{\sol}
+$10^{1.3}=\sol$
+
+\EXP[2]{0.33333}{\sol}
+$2^{1/3}=\sol$
+
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator29.tex b/Master/texmf-dist/doc/latex/calculator/calculator29.tex
new file mode 100644
index 00000000000..82bf398f848
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator29.tex
@@ -0,0 +1,2 @@
+\LOG{0.5}{\sol}
+$\log 0.5=\sol$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator3.tex b/Master/texmf-dist/doc/latex/calculator/calculator3.tex
new file mode 100644
index 00000000000..11f7296ffe2
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator3.tex
@@ -0,0 +1,2 @@
+\COPY{-1.256}{\sol}
+\sol
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator30.tex b/Master/texmf-dist/doc/latex/calculator/calculator30.tex
new file mode 100644
index 00000000000..ed2bf1e00c5
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator30.tex
@@ -0,0 +1,2 @@
+\LOG[10]{0.5}{\sol}
+$\log_{10} 0.5=\sol$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator31.tex b/Master/texmf-dist/doc/latex/calculator/calculator31.tex
new file mode 100644
index 00000000000..e41832e74ce
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator31.tex
@@ -0,0 +1,11 @@
+\SIN{\numberTHIRDPI}{\sol}
+$\sin \pi/3=\sol$
+
+\COS{\numberTHIRDPI}{\sol}
+$\cos \pi/3=\sol$
+
+\TAN{\numberTHIRDPI}{\sol}
+$\tan \pi/3=\sol$
+
+\COT{\numberTHIRDPI}{\sol}
+$\cot \pi/3=\sol$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator32.tex b/Master/texmf-dist/doc/latex/calculator/calculator32.tex
new file mode 100644
index 00000000000..cc5a388a759
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator32.tex
@@ -0,0 +1,11 @@
+\DEGREESSIN{60}{\sol}
+$\sin 60^{\textrm o}=\sol$
+
+\DEGREESCOS{60}{\sol}
+$\cos 60^{\textrm o}=\sol$
+
+\DEGREESTAN{60}{\sol}
+$\tan 60^{\textrm o}=\sol$
+
+\DEGREESCOT{60}{\sol}
+$\cot 60^{\textrm o}=\sol$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator33.tex b/Master/texmf-dist/doc/latex/calculator/calculator33.tex
new file mode 100644
index 00000000000..9956ce25951
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator33.tex
@@ -0,0 +1,11 @@
+\DEGREESCOS[400]{50}{\sol}
+\sol
+
+\DEGREESCOS{45}{\sol}
+\sol
+
+\COS{\numberQUARTERPI}{\sol}
+\sol
+
+\DEGREESCOS[8]{1}{\sol}
+\sol
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator34.tex b/Master/texmf-dist/doc/latex/calculator/calculator34.tex
new file mode 100644
index 00000000000..dc73dd1a40d
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator34.tex
@@ -0,0 +1,2 @@
+\DEGtoRAD{60}{\sol}
+\sol
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator35.tex b/Master/texmf-dist/doc/latex/calculator/calculator35.tex
new file mode 100644
index 00000000000..3125997f51a
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator35.tex
@@ -0,0 +1,7 @@
+\MULTIPLY{\numberTWOPI}{10}{\TWENTYPI}
+\ADD{\numberPI}{\TWENTYPI}{\TWENTYONEPI}
+\REDUCERADIANSANGLE{\TWENTYONEPI}{\sol}
+\sol
+
+\REDUCEDEGREESANGLE{3690}{\sol}
+\sol
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator36.tex b/Master/texmf-dist/doc/latex/calculator/calculator36.tex
new file mode 100644
index 00000000000..cdd27aa2427
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator36.tex
@@ -0,0 +1,11 @@
+\SINH{1.256}{\sol}
+\sol
+
+\COSH{1.256}{\sol}
+\sol
+
+\TANH{1.256}{\sol}
+\sol
+
+\COTH{1.256}{\sol}
+\sol
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator37.tex b/Master/texmf-dist/doc/latex/calculator/calculator37.tex
new file mode 100644
index 00000000000..848ea112443
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator37.tex
@@ -0,0 +1,5 @@
+\VECTORCOPY(1,-1)(\sola,\solb)
+$(\sola,\solb)$
+
+\VECTORCOPY(1,-1,2)(\sola,\solb,\solc)
+$(\sola,\solb,\solc)$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator38.tex b/Master/texmf-dist/doc/latex/calculator/calculator38.tex
new file mode 100644
index 00000000000..e7d761a1306
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator38.tex
@@ -0,0 +1,5 @@
+\VECTORADD(1,-1,2)(3,5,-1)(\sola,\solb,\solc)
+$(1,-1,2)+(3,5,-1)=(\sola,\solb,\solc)$
+
+\VECTORSUB(1,-1,2)(3,5,-1)(\sola,\solb,\solc)
+$(1,-1,2)-(3,5,-1)=(\sola,\solb,\solc)$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator39.tex b/Master/texmf-dist/doc/latex/calculator/calculator39.tex
new file mode 100644
index 00000000000..9af0c8329a1
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator39.tex
@@ -0,0 +1,6 @@
+\SCALARVECTORPRODUCT{2}(3,5)(\sola,\solb)
+$2(3,5)=(\sola,\solb)$
+
+\SCALARVECTORPRODUCT{2}(3,5,-1)(%
+                       \sola,\solb,\solc)
+$2(3,5,-1)=(\sola,\solb,\solc)$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator4.tex b/Master/texmf-dist/doc/latex/calculator/calculator4.tex
new file mode 100644
index 00000000000..123ab06a45a
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator4.tex
@@ -0,0 +1,2 @@
+\MAX{1.256}{3.214}{\sol}
+\[\max(1.256,3.214)=\sol\]
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator40.tex b/Master/texmf-dist/doc/latex/calculator/calculator40.tex
new file mode 100644
index 00000000000..4ab16f69418
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator40.tex
@@ -0,0 +1,11 @@
+\SCALARPRODUCT(1,-1)(3,5){\sol}
+$(1,-1)\cdot(3,5)=\sol$
+
+\SCALARPRODUCT(1,-1,2)(3,5,-1){\sol}
+$(1,-1,2)\cdot(3,5,-1)=\sol$
+
+\VECTORNORM(3,4)\sol
+$\left\|(3,4)\right\|=\sol$
+
+\VECTORNORM(1,2,-2)\sol
+$\left\|(1,2,-2)\right\|=\sol$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator41.tex b/Master/texmf-dist/doc/latex/calculator/calculator41.tex
new file mode 100644
index 00000000000..045880987a1
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator41.tex
@@ -0,0 +1,5 @@
+\UNITVECTOR(3,4)(\sola,\solb)
+$(\sola,\solb)$
+
+\UNITVECTOR(1,2,-2)(\sola,\solb,\solc)
+$(\sola,\solb,\solc)$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator42.tex b/Master/texmf-dist/doc/latex/calculator/calculator42.tex
new file mode 100644
index 00000000000..c4df209d4ad
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator42.tex
@@ -0,0 +1,5 @@
+\VECTORABSVALUE(3,-4)(\sola,\solb)
+$(\sola,\solb)$
+
+\VECTORABSVALUE(3,-4,-1)(\sola,\solb,\solc)
+$(\sola,\solb,\solc)$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator43.tex b/Master/texmf-dist/doc/latex/calculator/calculator43.tex
new file mode 100644
index 00000000000..a0dd9f85cc5
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator43.tex
@@ -0,0 +1,11 @@
+\MATRIXCOPY(1, -1, 2;
+            3,  0, 5;
+           -1,  1, 4)%
+          (\sola,\solb,\solc;
+           \sold,\sole,\solf;
+           \solg,\solh,\soli)
+$\begin{bmatrix}
+       \sola & \solb & \solc \\
+       \sold & \sole & \solf \\
+       \solg & \solh & \soli
+     \end{bmatrix}$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator44.tex b/Master/texmf-dist/doc/latex/calculator/calculator44.tex
new file mode 100644
index 00000000000..5ee6b5cfa5d
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator44.tex
@@ -0,0 +1,7 @@
+\TRANSPOSEMATRIX(1,-1;3,0)%
+          (\sola,\solb;\solc,\sold)
+$\begin{bmatrix}
+       1 & -1 \\ 3 & 0
+     \end{bmatrix}^T=\begin{bmatrix}
+       \sola & \solb \\ \solc & \sold
+     \end{bmatrix}$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator45.tex b/Master/texmf-dist/doc/latex/calculator/calculator45.tex
new file mode 100644
index 00000000000..c1ed8fc0ac3
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator45.tex
@@ -0,0 +1,21 @@
+\MATRIXADD(1,-1;3,0)(3,5;-3,2)%
+          (\sola,\solb;\solc,\sold)
+$\begin{bmatrix}
+       1 & -1 \\ 3 & 0
+     \end{bmatrix}+
+\begin{bmatrix}
+       3 & 5 \\ -3 & 2
+     \end{bmatrix}=\begin{bmatrix}
+       \sola & \solb \\ \solc & \sold
+     \end{bmatrix}$
+
+\MATRIXSUB(1,-1;3,0)(3,5;-3,2)%
+          (\sola,\solb;\solc,\sold)
+$\begin{bmatrix}
+       1 & -1 \\ 3 & 0
+     \end{bmatrix}-
+\begin{bmatrix}
+       3 & 5 \\ -3 & 2
+     \end{bmatrix}=\begin{bmatrix}
+       \sola & \solb \\ \solc & \sold
+     \end{bmatrix}$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator46.tex b/Master/texmf-dist/doc/latex/calculator/calculator46.tex
new file mode 100644
index 00000000000..c5cf74d4753
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator46.tex
@@ -0,0 +1,14 @@
+\SCALARMATRIXPRODUCT{3}(1,-1,2;
+                        3, 0,5;
+                       -1, 1,4)%
+                      (\sola,\solb,\solc;
+                       \sold,\sole,\solf;
+                       \solg,\solh,\soli)
+$3\begin{bmatrix}
+     1 & -1 & 2 \\ 3 & 0 & 5 \\ -1 & 1 & 4
+ \end{bmatrix}
+  =\begin{bmatrix}
+       \sola & \solb & \solc \\
+       \sold & \sole & \solf \\
+       \solg & \solh & \soli
+   \end{bmatrix}$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator47.tex b/Master/texmf-dist/doc/latex/calculator/calculator47.tex
new file mode 100644
index 00000000000..6abe4e7a0b6
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator47.tex
@@ -0,0 +1,11 @@
+\MATRIXVECTORPRODUCT(1,-1;
+                     0, 2)(3,5)(\sola,\solb)
+$\begin{bmatrix}
+     1 & -1 \\ 0 & 2
+ \end{bmatrix}
+ \begin{bmatrix}
+      3 \\ 5
+ \end{bmatrix}
+  =\begin{bmatrix}
+         \sola \\ \solb
+   \end{bmatrix}$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator48.tex b/Master/texmf-dist/doc/latex/calculator/calculator48.tex
new file mode 100644
index 00000000000..c8e2cbeaba1
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator48.tex
@@ -0,0 +1,18 @@
+\MATRIXPRODUCT(1,-1,2;3,0,5;-1,1,4)%
+              (3,5,-1;-3,2,-5;1,-2,3)%
+                (\sola,\solb,\solc;
+                 \sold,\sole,\solf;
+                 \solg,\solh,\soli)
+\begin{multline*}
+\begin{bmatrix}
+       1 & -1 & 2 \\ 3 & 0 & 5 \\ -1 & 1 & 4
+     \end{bmatrix}
+\begin{bmatrix}
+       3 & 5 & -1 \\ -3 & 2 & -5 \\ 1 & -2 & 3
+     \end{bmatrix}\\
+=\begin{bmatrix}
+       \sola & \solb & \solc \\
+       \sold & \sole & \solf \\
+       \solg & \solh & \soli
+\end{bmatrix}
+\end{multline*}
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator49.tex b/Master/texmf-dist/doc/latex/calculator/calculator49.tex
new file mode 100644
index 00000000000..16c0b0a8c8b
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator49.tex
@@ -0,0 +1,5 @@
+\DETERMINANT(1,-1,2;3,0,5;-1,1,4){\sol}
+\SpecialUsageIndex{\DETERMINANT}%
+$\begin{vmatrix}
+       1 & -1 & 2 \\ 3 & 0 & 5 \\ -1 & 1 & 4
+     \end{vmatrix}=\sol$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator5.tex b/Master/texmf-dist/doc/latex/calculator/calculator5.tex
new file mode 100644
index 00000000000..0f410c70277
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator5.tex
@@ -0,0 +1,2 @@
+\MIN{1.256}{3.214}{\sol}
+\sol
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator50.tex b/Master/texmf-dist/doc/latex/calculator/calculator50.tex
new file mode 100644
index 00000000000..7ad03915b39
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator50.tex
@@ -0,0 +1,8 @@
+\INVERSEMATRIX(1,-1;3,5)(%
+            \sola,\solb;\solc,\sold)
+$\begin{bmatrix}
+       1 & -1 \\ 3 & 5
+ \end{bmatrix}^{-1}=
+ \begin{bmatrix}
+       \sola & \solb \\ \solc & \sold
+ \end{bmatrix}$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator51.tex b/Master/texmf-dist/doc/latex/calculator/calculator51.tex
new file mode 100644
index 00000000000..bd69eaf743b
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator51.tex
@@ -0,0 +1,9 @@
+\MATRIXABSVALUE(1,-1,2;3,0,5;-1,1,4)%
+          (\sola,\solb,\solc;
+           \sold,\sole,\solf;
+           \solg,\solh,\soli)
+$\begin{bmatrix}
+       \sola & \solb & \solc \\
+       \sold & \sole & \solf \\
+       \solg & \solh & \soli
+ \end{bmatrix}$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator52.tex b/Master/texmf-dist/doc/latex/calculator/calculator52.tex
new file mode 100644
index 00000000000..1ad53821cf8
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator52.tex
@@ -0,0 +1,15 @@
+\SOLVELINEARSYSTEM(1,-1,2;3,0,5;-1,1,4)%
+                  (-4,4,-2)%
+                  (\sola,\solb,\solc)
+Solving the linear system
+\[
+\begin{bmatrix}
+      1 & -1 & 2 \\ 3 & 0 & 5 \\ -1 & 1 & 4
+     \end{bmatrix}\mathsf{X}=\begin{bmatrix}
+      -4\\4\\-2
+     \end{bmatrix}
+\]
+we obtain
+$\mathsf{X}=\begin{bmatrix}
+       \sola \\ \solb\\ \solc
+     \end{bmatrix}$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator53.tex b/Master/texmf-dist/doc/latex/calculator/calculator53.tex
new file mode 100644
index 00000000000..2696c2df99c
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator53.tex
@@ -0,0 +1,5 @@
+\SQUAREfunction{3}{\sol}{\Dsol}
+If $f(t)=t^2$, then
+\[
+  f(3)=\sol \mbox{ and } f'(3)=\Dsol
+\]
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator54.tex b/Master/texmf-dist/doc/latex/calculator/calculator54.tex
new file mode 100644
index 00000000000..4a99aefa2ad
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator54.tex
@@ -0,0 +1,15 @@
+$\begin{array}{cll}
+x & \log x & \log' x \\
+\LOGfunction{1}{\logx}{\Dlogx}
+1 &\logx & \Dlogx\\
+\LOGfunction{2}{\logx}{\Dlogx}
+2 &\logx & \Dlogx\\
+\LOGfunction{3}{\logx}{\Dlogx}
+3 &\logx & \Dlogx\\
+\LOGfunction{4}{\logx}{\Dlogx}
+4 &\logx & \Dlogx\\
+\LOGfunction{5}{\logx}{\Dlogx}
+5 &\logx & \Dlogx\\
+\LOGfunction{6}{\logx}{\Dlogx}
+6 &\logx & \Dlogx
+\end{array}$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator55.tex b/Master/texmf-dist/doc/latex/calculator/calculator55.tex
new file mode 100644
index 00000000000..4a0ab779c75
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator55.tex
@@ -0,0 +1,30 @@
+% exp(-t)
+   \SCALEVARIABLEfunction
+       {-1}{\EXPfunction}
+       {\NEGEXPfunction}
+
+% exp(-t)cos(t)
+   \PRODUCTfunction
+       {\NEGEXPfunction}
+       {\COSfunction}
+       {\NEGEXPCOSfunction}
+
+% 3t^2-2exp(-t)cos(t)
+   \LINEARCOMBINATIONfunction
+       {3}{\SQUAREfunction}
+      {-2}{\NEGEXPCOSfunction}
+      {\myfunction}
+
+\myfunction{5}{\sol}{\Dsol}
+
+If
+\[
+    f(t)=3t^2-2\mathrm{e}^{-t}\cos t
+\]
+then
+\[
+\begin{gathered}
+    f(5)=\sol\\
+    f'(5)=\Dsol
+\end{gathered}
+\]
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator56.tex b/Master/texmf-dist/doc/latex/calculator/calculator56.tex
new file mode 100644
index 00000000000..f5c10e29574
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator56.tex
@@ -0,0 +1,4 @@
+% \mypoly=1-x^2+x^3
+    \newcpoly{\mypoly}{1}{0}{-1}{1}
+    \mypoly{2}{\sol}{\Dsol}
+$p'(2)=\Dsol$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator57.tex b/Master/texmf-dist/doc/latex/calculator/calculator57.tex
new file mode 100644
index 00000000000..9caca3c8c7b
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator57.tex
@@ -0,0 +1,9 @@
+For the $f(t)=(t^2,t^3)$ function we have
+\VECTORfunction
+    {\SQUAREfunction}{\CUBEfunction}{\F}
+
+\F{4}{\solx}{\Dsolx}{\soly}{\Dsoly}
+
+\[
+f(4)=(\solx,\soly), f'(4)=(\Dsolx,\Dsoly)
+\]
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator6.tex b/Master/texmf-dist/doc/latex/calculator/calculator6.tex
new file mode 100644
index 00000000000..663c9a1bff9
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator6.tex
@@ -0,0 +1,2 @@
+\ADD{1.256}{3.214}{\sol}
+$1.256+3.214=\sol$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator7.tex b/Master/texmf-dist/doc/latex/calculator/calculator7.tex
new file mode 100644
index 00000000000..6f0d9c2fea7
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator7.tex
@@ -0,0 +1,2 @@
+\SUBTRACT{1.256}{3.214}{\sol}
+$1.256-3.214=\sol$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator8.tex b/Master/texmf-dist/doc/latex/calculator/calculator8.tex
new file mode 100644
index 00000000000..de60a332745
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator8.tex
@@ -0,0 +1,2 @@
+\MULTIPLY{1.256}{3.214}{\sol}
+$1.256\times3.214=\sol$
diff --git a/Master/texmf-dist/doc/latex/calculator/calculator9.tex b/Master/texmf-dist/doc/latex/calculator/calculator9.tex
new file mode 100644
index 00000000000..f3c94758d93
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/calculator/calculator9.tex
@@ -0,0 +1,2 @@
+\DIVIDE{1.256}{3.214}{\sol}
+$1.256/3.214=\sol$