From bb1bb061fac5a49062135e89841e00575baaccd9 Mon Sep 17 00:00:00 2001
From: mkulesh <mikhail.kulesh@gmail.com>
Date: Sat, 16 Jan 2021 15:53:55 +0100
Subject: [PATCH] #108 Allow to define a matrix: added more tests and examples

---
 app/src/main/assets/examples/lin_algebra.mmt  | 255 +++++++++--
 app/src/main/assets/ta/ts_array_1d_oper.mmt   | 352 +++++++++++++++
 app/src/main/assets/ta/ts_array_2d_oper.mmt   | 410 ++++++++++++++++++
 .../micromath/math/EquationArrayResult.java   |  19 +-
 app/src/main/res/values/scripts.xml           |   2 +
 5 files changed, 991 insertions(+), 47 deletions(-)
 create mode 100644 app/src/main/assets/ta/ts_array_1d_oper.mmt
 create mode 100644 app/src/main/assets/ta/ts_array_2d_oper.mmt

diff --git a/app/src/main/assets/examples/lin_algebra.mmt b/app/src/main/assets/examples/lin_algebra.mmt
index a13c1e53..79ed884b 100644
--- a/app/src/main/assets/examples/lin_algebra.mmt
+++ b/app/src/main/assets/examples/lin_algebra.mmt
@@ -2,7 +2,7 @@
 <micromath xmlns:mmt="http://micromath.mkulesh.com">
   <formulaList documentVersion="2" author="Mikhail Kulesh" title="Linear algebra" description="Example demonstrates how to implement vector and matrix operations using arrays" textWidth="60" significantDigits="6" scale="0.49759" redefineAllowed="true">
     <text_fragment>
-      <term key="text" text="Example demonstrates how to implement vector and matrix&#10;operations using arrays" />
+      <term key="text" text="Example demonstrates how to implement vector and matrix&#10;operations using arrays in 3D" />
     </text_fragment>
     <equation>
       <term key="leftTerm" text="k" />
@@ -20,59 +20,32 @@
         <term key="maxValue" text="2" />
       </term>
     </equation>
-    <equation>
-      <term key="leftTerm" text="z1" />
-      <term key="rightTerm" code="plus">
-        <term key="leftTerm" text="1" />
-        <term key="rightTerm" text="5i" />
-      </term>
-    </equation>
-    <equation inRightOfPrevious="true">
-      <term key="leftTerm" text="z2" />
-      <term key="rightTerm" code="plus">
-        <term key="leftTerm" text="2" />
-        <term key="rightTerm" text="10i" />
-      </term>
-    </equation>
-    <equation inRightOfPrevious="true">
-      <term key="leftTerm" text="z3" />
-      <term key="rightTerm" code="plus">
-        <term key="leftTerm" text="3" />
-        <term key="rightTerm" text="15i" />
-      </term>
-    </equation>
     <text_fragment textStyle="subsubsection" numbering="true">
       <term key="text" text="Vector operations. Defive two vectors:" />
     </text_fragment>
     <equation>
       <term key="leftTerm" text="V1" />
       <term key="rightTerm" code="matrix" rows="3" cols="1">
-        <term key="element[0][0]" text="z1" />
-        <term key="element[1][0]" text="z2" />
-        <term key="element[2][0]" text="z3" />
+        <term key="element[0][0]" text="1" />
+        <term key="element[1][0]" text="2" />
+        <term key="element[2][0]" text="3" />
       </term>
     </equation>
     <equation inRightOfPrevious="true">
       <term key="leftTerm" text="V2" />
       <term key="rightTerm" code="matrix" rows="3" cols="1">
-        <term key="element[0][0]" code="conjugate_layout">
-          <term key="argTerm" text="z1" />
-        </term>
-        <term key="element[1][0]" code="conjugate_layout">
-          <term key="argTerm" text="z2" />
-        </term>
-        <term key="element[2][0]" code="conjugate_layout">
-          <term key="argTerm" text="z3" />
-        </term>
+        <term key="element[0][0]" text="-1" />
+        <term key="element[1][0]" text="-2" />
+        <term key="element[2][0]" text="-3" />
       </term>
     </equation>
     <result disableCalculation="false" hideResultField="false" arrayLength="7">
       <term key="leftTerm" text="V1" />
-      <term key="rightTerm" text="[[1.0+5.0i], [2.0+10.0i], [3.0+15.0i]]" />
+      <term key="rightTerm" text="" />
     </result>
     <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
       <term key="leftTerm" text="V2" />
-      <term key="rightTerm" text="[[1.0-5.0i], [2.0-10.0i], [3.0-15.0i]]" />
+      <term key="rightTerm" text="" />
     </result>
     <text_fragment numbering="true">
       <term key="text" text=" Summation and subtraction of two vectors" />
@@ -86,7 +59,7 @@
           <term key="argTerm" text="k" />
         </term>
       </term>
-      <term key="rightTerm" text="[[2.0], [4.0], [6.0]]" />
+      <term key="rightTerm" text="" />
     </result>
     <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
       <term key="leftTerm" code="minus">
@@ -97,19 +70,27 @@
           <term key="argTerm" text="k" />
         </term>
       </term>
-      <term key="rightTerm" text="[[0.0+10.0i], [0.0+20.0i], [0.0+30.0i]]" />
+      <term key="rightTerm" text="" />
     </result>
     <text_fragment numbering="true">
       <term key="text" text="Multiplication with a constant" />
     </text_fragment>
-    <result disableCalculation="false" hideResultField="false" arrayLength="7">
-      <term key="leftTerm" code="mult">
+    <equation>
+      <term key="leftTerm" code="content:com.mkulesh.micromath.index.R">
+        <term key="argTerm" text="k" />
+      </term>
+      <term key="rightTerm" code="mult">
         <term key="leftTerm" text="10" />
         <term key="rightTerm" code="content:com.mkulesh.micromath.index.V1">
           <term key="argTerm" text="k" />
         </term>
       </term>
-      <term key="rightTerm" text="[[10.0+50.0i], [20.0+100.0i], [30.0+150.0i]]" />
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" code="content:com.mkulesh.micromath.index.R">
+        <term key="argTerm" text="k" />
+      </term>
+      <term key="rightTerm" text="" />
     </result>
     <text_fragment numbering="true">
       <term key="text" text=" Scalar product of two vectors" />
@@ -128,7 +109,7 @@
           </term>
         </term>
       </term>
-      <term key="rightTerm" text="364.0" />
+      <term key="rightTerm" text="" />
     </result>
     <text_fragment numbering="true">
       <term key="text" text="L1 norm of the vector" />
@@ -136,15 +117,199 @@
     <result disableCalculation="false" hideResultField="false" arrayLength="7">
       <term key="leftTerm" code="summation">
         <term key="maxValue" text="2" />
-        <term key="index" text="k" />
+        <term key="index" text="n" />
         <term key="minValue" text="0" />
         <term key="argTerm" code="abs_layout">
           <term key="argTerm" code="content:com.mkulesh.micromath.index.V1">
-            <term key="argTerm" text="k" />
+            <term key="argTerm" text="n" />
+          </term>
+        </term>
+      </term>
+      <term key="rightTerm" text="" />
+    </result>
+    <text_fragment numbering="true">
+      <term key="text" text="Vector assignment and modification" />
+    </text_fragment>
+    <equation>
+      <term key="leftTerm" code="content:com.mkulesh.micromath.index.V1">
+        <term key="argTerm" text="k" />
+      </term>
+      <term key="rightTerm" code="content:com.mkulesh.micromath.index.V2">
+        <term key="argTerm" text="k" />
+      </term>
+    </equation>
+    <equation inRightOfPrevious="true">
+      <term key="leftTerm" code="content:com.mkulesh.micromath.index.V1">
+        <term key="argTerm" text="1" />
+      </term>
+      <term key="rightTerm" text="100" />
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="V1" />
+      <term key="rightTerm" text="" />
+    </result>
+    <text_fragment textStyle="subsubsection" numbering="true">
+      <term key="text" text="Matrix operations. Define two matrices:" />
+    </text_fragment>
+    <equation>
+      <term key="leftTerm" text="M1" />
+      <term key="rightTerm" code="matrix" rows="3" cols="3">
+        <term key="element[0][0]" text="1" />
+        <term key="element[0][1]" text="2" />
+        <term key="element[0][2]" text="3" />
+        <term key="element[1][0]" text="4" />
+        <term key="element[1][1]" text="5" />
+        <term key="element[1][2]" text="6" />
+        <term key="element[2][0]" text="7" />
+        <term key="element[2][1]" text="8" />
+        <term key="element[2][2]" text="9" />
+      </term>
+    </equation>
+    <equation inRightOfPrevious="true">
+      <term key="leftTerm" text="M2" />
+      <term key="rightTerm" code="matrix" rows="3" cols="3">
+        <term key="element[0][0]" text="-1" />
+        <term key="element[0][1]" text="-2" />
+        <term key="element[0][2]" text="-3" />
+        <term key="element[1][0]" text="-4" />
+        <term key="element[1][1]" text="-5" />
+        <term key="element[1][2]" text="-6" />
+        <term key="element[2][0]" text="-7" />
+        <term key="element[2][1]" text="-8" />
+        <term key="element[2][2]" text="-9" />
+      </term>
+    </equation>
+    <result disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="M1" />
+      <term key="rightTerm" text="" />
+    </result>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="M2" />
+      <term key="rightTerm" text="" />
+    </result>
+    <text_fragment numbering="true">
+      <term key="text" text=" Summation and subtraction of two matrices" />
+    </text_fragment>
+    <result disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" code="plus">
+        <term key="leftTerm" code="content:com.mkulesh.micromath.index.M1:2">
+          <term key="argTerm1" text="k" />
+          <term key="argTerm2" text="m" />
+        </term>
+        <term key="rightTerm" code="content:com.mkulesh.micromath.index.M2:2">
+          <term key="argTerm1" text="k" />
+          <term key="argTerm2" text="m" />
+        </term>
+      </term>
+      <term key="rightTerm" text="" />
+    </result>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" code="minus">
+        <term key="leftTerm" code="content:com.mkulesh.micromath.index.M1:2">
+          <term key="argTerm1" text="k" />
+          <term key="argTerm2" text="m" />
+        </term>
+        <term key="rightTerm" code="content:com.mkulesh.micromath.index.M2:2">
+          <term key="argTerm1" text="k" />
+          <term key="argTerm2" text="m" />
+        </term>
+      </term>
+      <term key="rightTerm" text="" />
+    </result>
+    <text_fragment numbering="true">
+      <term key="text" text="Multiplication with a constant" />
+    </text_fragment>
+    <equation>
+      <term key="leftTerm" code="content:com.mkulesh.micromath.index.R:2">
+        <term key="argTerm1" text="k" />
+        <term key="argTerm2" text="m" />
+      </term>
+      <term key="rightTerm" code="mult">
+        <term key="leftTerm" text="10" />
+        <term key="rightTerm" code="content:com.mkulesh.micromath.index.M1:2">
+          <term key="argTerm1" text="k" />
+          <term key="argTerm2" text="m" />
+        </term>
+      </term>
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" code="content:com.mkulesh.micromath.index.R:2">
+        <term key="argTerm1" text="k" />
+        <term key="argTerm2" text="m" />
+      </term>
+      <term key="rightTerm" text="" />
+    </result>
+    <text_fragment numbering="true">
+      <term key="text" text=" Scalar product of two matrices" />
+    </text_fragment>
+    <result disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" code="summation">
+        <term key="maxValue" text="2" />
+        <term key="index" text="n" />
+        <term key="minValue" text="0" />
+        <term key="argTerm" code="summation">
+          <term key="maxValue" text="2" />
+          <term key="index" text="p" />
+          <term key="minValue" text="0" />
+          <term key="argTerm" code="mult">
+            <term key="leftTerm" code="content:com.mkulesh.micromath.index.M1:2">
+              <term key="argTerm1" text="n" />
+              <term key="argTerm2" text="p" />
+            </term>
+            <term key="rightTerm" code="content:com.mkulesh.micromath.index.M2:2">
+              <term key="argTerm1" text="n" />
+              <term key="argTerm2" text="p" />
+            </term>
+          </term>
+        </term>
+      </term>
+      <term key="rightTerm" text="" />
+    </result>
+    <text_fragment numbering="true">
+      <term key="text" text="L1 norm of the vector" />
+    </text_fragment>
+    <result disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" code="summation">
+        <term key="maxValue" text="2" />
+        <term key="index" text="n" />
+        <term key="minValue" text="0" />
+        <term key="argTerm" code="summation">
+          <term key="maxValue" text="2" />
+          <term key="index" text="p" />
+          <term key="minValue" text="0" />
+          <term key="argTerm" code="abs_layout">
+            <term key="argTerm" code="content:com.mkulesh.micromath.index.M1:2">
+              <term key="argTerm1" text="n" />
+              <term key="argTerm2" text="p" />
+            </term>
           </term>
         </term>
       </term>
-      <term key="rightTerm" text="30.5941" />
+      <term key="rightTerm" text="" />
+    </result>
+    <text_fragment numbering="true">
+      <term key="text" text="Matrix assignment and modification" />
+    </text_fragment>
+    <equation>
+      <term key="leftTerm" code="content:com.mkulesh.micromath.index.M1:2">
+        <term key="argTerm1" text="k" />
+        <term key="argTerm2" text="m" />
+      </term>
+      <term key="rightTerm" code="content:com.mkulesh.micromath.index.M2:2">
+        <term key="argTerm1" text="k" />
+        <term key="argTerm2" text="m" />
+      </term>
+    </equation>
+    <equation inRightOfPrevious="true">
+      <term key="leftTerm" code="content:com.mkulesh.micromath.index.M1:2">
+        <term key="argTerm1" text="1" />
+        <term key="argTerm2" text="1" />
+      </term>
+      <term key="rightTerm" text="100" />
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="M1" />
+      <term key="rightTerm" text="" />
     </result>
   </formulaList>
 </micromath>
\ No newline at end of file
diff --git a/app/src/main/assets/ta/ts_array_1d_oper.mmt b/app/src/main/assets/ta/ts_array_1d_oper.mmt
new file mode 100644
index 00000000..3bba51e2
--- /dev/null
+++ b/app/src/main/assets/ta/ts_array_1d_oper.mmt
@@ -0,0 +1,352 @@
+<?xml version='1.0' encoding='UTF-8' standalone='yes' ?>
+<micromath xmlns:mmt="http://micromath.mkulesh.com">
+  <formulaList documentVersion="2" author="Mikhail Kulesh" title="1D arrays: linear algebra" description="Example demonstrates how to implement vector and matrix operations using arrays" textWidth="60" significantDigits="6" scale="0.49759" redefineAllowed="true">
+    <text_fragment>
+      <term key="text" text="TC demonstrates how to implement vector&#10;operations using arrays in 3D" />
+    </text_fragment>
+    <equation>
+      <term key="leftTerm" text="k" />
+      <term key="rightTerm" code="equidistant_interval">
+        <term key="minValue" text="0" />
+        <term key="nextValue" text="1" />
+        <term key="maxValue" text="2" />
+      </term>
+    </equation>
+    <equation inRightOfPrevious="true">
+      <term key="leftTerm" text="m" />
+      <term key="rightTerm" code="equidistant_interval">
+        <term key="minValue" text="0" />
+        <term key="nextValue" text="1" />
+        <term key="maxValue" text="2" />
+      </term>
+    </equation>
+    <equation>
+      <term key="leftTerm" text="begin" />
+      <term key="rightTerm" text="0" />
+    </equation>
+    <equation>
+      <term key="leftTerm" text="V1" />
+      <term key="rightTerm" code="matrix" rows="3" cols="1">
+        <term key="element[0][0]" text="1" />
+        <term key="element[1][0]" text="2" />
+        <term key="element[2][0]" text="3" />
+      </term>
+    </equation>
+    <equation inRightOfPrevious="true">
+      <term key="leftTerm" text="V2" />
+      <term key="rightTerm" code="matrix" rows="3" cols="1">
+        <term key="element[0][0]" text="-1" />
+        <term key="element[1][0]" text="-2" />
+        <term key="element[2][0]" text="-3" />
+      </term>
+    </equation>
+    <result disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="V1" />
+      <term key="rightTerm" text="" />
+    </result>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="V2" />
+      <term key="rightTerm" text="" />
+    </result>
+    <text_fragment numbering="true">
+      <term key="text" text="TC: Summation of two vectors" />
+    </text_fragment>
+    <equation>
+      <term key="leftTerm" text="begin" />
+      <term key="rightTerm" code="plus">
+        <term key="leftTerm" text="1" />
+        <term key="rightTerm" text="begin" />
+      </term>
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="begin" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="result" />
+      <term key="rightTerm" code="plus">
+        <term key="leftTerm" code="content:com.mkulesh.micromath.index.V1">
+          <term key="argTerm" text="k" />
+        </term>
+        <term key="rightTerm" code="content:com.mkulesh.micromath.index.V2">
+          <term key="argTerm" text="k" />
+        </term>
+      </term>
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="result" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="desired" />
+      <term key="rightTerm" code="matrix" rows="3" cols="1">
+        <term key="element[0][0]" text="0" />
+        <term key="element[1][0]" text="0" />
+        <term key="element[2][0]" text="0" />
+      </term>
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="desired" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="end" />
+      <term key="rightTerm" text="begin" />
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="end" />
+      <term key="rightTerm" text="" />
+    </result>
+    <text_fragment numbering="true">
+      <term key="text" text="TC: Subtraction of two vectors" />
+    </text_fragment>
+    <equation>
+      <term key="leftTerm" text="begin" />
+      <term key="rightTerm" code="plus">
+        <term key="leftTerm" text="1" />
+        <term key="rightTerm" text="begin" />
+      </term>
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="begin" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="result" />
+      <term key="rightTerm" code="minus">
+        <term key="leftTerm" code="content:com.mkulesh.micromath.index.V1">
+          <term key="argTerm" text="k" />
+        </term>
+        <term key="rightTerm" code="content:com.mkulesh.micromath.index.V2">
+          <term key="argTerm" text="k" />
+        </term>
+      </term>
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="result" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="desired" />
+      <term key="rightTerm" code="matrix" rows="3" cols="1">
+        <term key="element[0][0]" text="2" />
+        <term key="element[1][0]" text="4" />
+        <term key="element[2][0]" text="6" />
+      </term>
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="desired" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="end" />
+      <term key="rightTerm" text="begin" />
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="end" />
+      <term key="rightTerm" text="" />
+    </result>
+    <text_fragment numbering="true">
+      <term key="text" text="TC: Multiplication with a constant" />
+    </text_fragment>
+    <equation>
+      <term key="leftTerm" text="begin" />
+      <term key="rightTerm" code="plus">
+        <term key="leftTerm" text="1" />
+        <term key="rightTerm" text="begin" />
+      </term>
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="begin" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="result" />
+      <term key="rightTerm" code="mult">
+        <term key="leftTerm" text="10" />
+        <term key="rightTerm" code="content:com.mkulesh.micromath.index.V1">
+          <term key="argTerm" text="k" />
+        </term>
+      </term>
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="result" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="desired" />
+      <term key="rightTerm" code="matrix" rows="3" cols="1">
+        <term key="element[0][0]" text="10" />
+        <term key="element[1][0]" text="20" />
+        <term key="element[2][0]" text="30" />
+      </term>
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="desired" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="end" />
+      <term key="rightTerm" text="begin" />
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="end" />
+      <term key="rightTerm" text="" />
+    </result>
+    <text_fragment numbering="true">
+      <term key="text" text="TC: Scalar product of two vectors" />
+    </text_fragment>
+    <equation>
+      <term key="leftTerm" text="begin" />
+      <term key="rightTerm" code="plus">
+        <term key="leftTerm" text="1" />
+        <term key="rightTerm" text="begin" />
+      </term>
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="begin" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="result" />
+      <term key="rightTerm" code="summation">
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+        <term key="index" text="n" />
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+          <term key="rightTerm" code="content:com.mkulesh.micromath.index.V2">
+            <term key="argTerm" text="n" />
+          </term>
+        </term>
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+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="result" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="desired" />
+      <term key="rightTerm" text="-14" />
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="desired" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="end" />
+      <term key="rightTerm" text="begin" />
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="end" />
+      <term key="rightTerm" text="" />
+    </result>
+    <text_fragment numbering="true">
+      <term key="text" text="TC: L1 norm of the vector" />
+    </text_fragment>
+    <equation>
+      <term key="leftTerm" text="begin" />
+      <term key="rightTerm" code="plus">
+        <term key="leftTerm" text="1" />
+        <term key="rightTerm" text="begin" />
+      </term>
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="begin" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="result" />
+      <term key="rightTerm" code="summation">
+        <term key="maxValue" text="2" />
+        <term key="index" text="n" />
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+            <term key="argTerm" text="n" />
+          </term>
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+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="result" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="desired" />
+      <term key="rightTerm" text="6" />
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="desired" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="end" />
+      <term key="rightTerm" text="begin" />
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="end" />
+      <term key="rightTerm" text="" />
+    </result>
+    <text_fragment numbering="true">
+      <term key="text" text="TC: Vector assignment and modification" />
+    </text_fragment>
+    <equation>
+      <term key="leftTerm" text="begin" />
+      <term key="rightTerm" code="plus">
+        <term key="leftTerm" text="1" />
+        <term key="rightTerm" text="begin" />
+      </term>
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="begin" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" code="content:com.mkulesh.micromath.index.V1">
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+      </term>
+      <term key="rightTerm" code="content:com.mkulesh.micromath.index.V2">
+        <term key="argTerm" text="k" />
+      </term>
+    </equation>
+    <equation inRightOfPrevious="true">
+      <term key="leftTerm" code="content:com.mkulesh.micromath.index.V1">
+        <term key="argTerm" text="1" />
+      </term>
+      <term key="rightTerm" text="100" />
+    </equation>
+    <equation>
+      <term key="leftTerm" text="result" />
+      <term key="rightTerm" code="content:com.mkulesh.micromath.index.V1">
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+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="result" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="desired" />
+      <term key="rightTerm" code="matrix" rows="3" cols="1">
+        <term key="element[0][0]" text="-1" />
+        <term key="element[1][0]" text="100" />
+        <term key="element[2][0]" text="-3" />
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+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="desired" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="end" />
+      <term key="rightTerm" text="begin" />
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="end" />
+      <term key="rightTerm" text="" />
+    </result>
+  </formulaList>
+</micromath>
\ No newline at end of file
diff --git a/app/src/main/assets/ta/ts_array_2d_oper.mmt b/app/src/main/assets/ta/ts_array_2d_oper.mmt
new file mode 100644
index 00000000..e00ae7d9
--- /dev/null
+++ b/app/src/main/assets/ta/ts_array_2d_oper.mmt
@@ -0,0 +1,410 @@
+<?xml version='1.0' encoding='UTF-8' standalone='yes' ?>
+<micromath xmlns:mmt="http://micromath.mkulesh.com">
+  <formulaList documentVersion="2" author="Mikhail Kulesh" title="2D arrays: linear algebra" description="Example demonstrates how to implement vector and matrix operations using arrays" textWidth="60" significantDigits="6" scale="0.49759" redefineAllowed="true">
+    <text_fragment>
+      <term key="text" text="TC demonstrates how to implement matrix&#10;operations using arrays in 3D" />
+    </text_fragment>
+    <equation>
+      <term key="leftTerm" text="k" />
+      <term key="rightTerm" code="equidistant_interval">
+        <term key="minValue" text="0" />
+        <term key="nextValue" text="1" />
+        <term key="maxValue" text="2" />
+      </term>
+    </equation>
+    <equation inRightOfPrevious="true">
+      <term key="leftTerm" text="m" />
+      <term key="rightTerm" code="equidistant_interval">
+        <term key="minValue" text="0" />
+        <term key="nextValue" text="1" />
+        <term key="maxValue" text="2" />
+      </term>
+    </equation>
+    <equation>
+      <term key="leftTerm" text="begin" />
+      <term key="rightTerm" text="0" />
+    </equation>
+    <equation>
+      <term key="leftTerm" text="M1" />
+      <term key="rightTerm" code="matrix" rows="3" cols="3">
+        <term key="element[0][0]" text="1" />
+        <term key="element[0][1]" text="2" />
+        <term key="element[0][2]" text="3" />
+        <term key="element[1][0]" text="4" />
+        <term key="element[1][1]" text="5" />
+        <term key="element[1][2]" text="6" />
+        <term key="element[2][0]" text="7" />
+        <term key="element[2][1]" text="8" />
+        <term key="element[2][2]" text="9" />
+      </term>
+    </equation>
+    <equation inRightOfPrevious="true">
+      <term key="leftTerm" text="M2" />
+      <term key="rightTerm" code="matrix" rows="3" cols="3">
+        <term key="element[0][0]" text="-1" />
+        <term key="element[0][1]" text="-2" />
+        <term key="element[0][2]" text="-3" />
+        <term key="element[1][0]" text="-4" />
+        <term key="element[1][1]" text="-5" />
+        <term key="element[1][2]" text="-6" />
+        <term key="element[2][0]" text="-7" />
+        <term key="element[2][1]" text="-8" />
+        <term key="element[2][2]" text="-9" />
+      </term>
+    </equation>
+    <result disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="M1" />
+      <term key="rightTerm" text="" />
+    </result>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="M2" />
+      <term key="rightTerm" text="" />
+    </result>
+    <text_fragment numbering="true">
+      <term key="text" text="TC: Summation of two matrices" />
+    </text_fragment>
+    <equation>
+      <term key="leftTerm" text="begin" />
+      <term key="rightTerm" code="plus">
+        <term key="leftTerm" text="1" />
+        <term key="rightTerm" text="begin" />
+      </term>
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="begin" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="result" />
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+          <term key="argTerm2" text="m" />
+        </term>
+        <term key="rightTerm" code="content:com.mkulesh.micromath.index.M2:2">
+          <term key="argTerm1" text="k" />
+          <term key="argTerm2" text="m" />
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+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="result" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="desired" />
+      <term key="rightTerm" code="matrix" rows="3" cols="3">
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+        <term key="element[0][1]" text="0" />
+        <term key="element[0][2]" text="0" />
+        <term key="element[1][0]" text="0" />
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+        <term key="element[2][1]" text="0" />
+        <term key="element[2][2]" text="0" />
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+      <term key="leftTerm" text="desired" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
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+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="end" />
+      <term key="rightTerm" text="" />
+    </result>
+    <text_fragment numbering="true">
+      <term key="text" text="TC: Subtraction of two matrices" />
+    </text_fragment>
+    <equation>
+      <term key="leftTerm" text="begin" />
+      <term key="rightTerm" code="plus">
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+        <term key="rightTerm" text="begin" />
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+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
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+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="desired" />
+      <term key="rightTerm" code="matrix" rows="3" cols="3">
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+        <term key="element[0][1]" text="4" />
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+        <term key="element[1][0]" text="8" />
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+        <term key="element[2][1]" text="16" />
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+      <term key="leftTerm" text="desired" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="end" />
+      <term key="rightTerm" text="begin" />
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="end" />
+      <term key="rightTerm" text="" />
+    </result>
+    <text_fragment numbering="true">
+      <term key="text" text="TC: Multiplication with a constant" />
+    </text_fragment>
+    <equation>
+      <term key="leftTerm" text="begin" />
+      <term key="rightTerm" code="plus">
+        <term key="leftTerm" text="1" />
+        <term key="rightTerm" text="begin" />
+      </term>
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="begin" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="result" />
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+        <term key="leftTerm" text="10" />
+        <term key="rightTerm" code="content:com.mkulesh.micromath.index.M1:2">
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+          <term key="argTerm2" text="m" />
+        </term>
+      </term>
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="result" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="desired" />
+      <term key="rightTerm" code="matrix" rows="3" cols="3">
+        <term key="element[0][0]" text="10" />
+        <term key="element[0][1]" text="20" />
+        <term key="element[0][2]" text="30" />
+        <term key="element[1][0]" text="40" />
+        <term key="element[1][1]" text="50" />
+        <term key="element[1][2]" text="60" />
+        <term key="element[2][0]" text="70" />
+        <term key="element[2][1]" text="80" />
+        <term key="element[2][2]" text="90" />
+      </term>
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="desired" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="end" />
+      <term key="rightTerm" text="begin" />
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="end" />
+      <term key="rightTerm" text="" />
+    </result>
+    <text_fragment numbering="true">
+      <term key="text" text="TC: Scalar product of two matrices" />
+    </text_fragment>
+    <equation>
+      <term key="leftTerm" text="begin" />
+      <term key="rightTerm" code="plus">
+        <term key="leftTerm" text="1" />
+        <term key="rightTerm" text="begin" />
+      </term>
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="begin" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
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+          <term key="minValue" text="0" />
+          <term key="argTerm" code="mult">
+            <term key="leftTerm" code="content:com.mkulesh.micromath.index.M1:2">
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+              <term key="argTerm2" text="p" />
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+          </term>
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+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
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+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="desired" />
+      <term key="rightTerm" text="-285" />
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="desired" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="end" />
+      <term key="rightTerm" text="begin" />
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="end" />
+      <term key="rightTerm" text="" />
+    </result>
+    <text_fragment numbering="true">
+      <term key="text" text="TC: L1 norm of the vector" />
+    </text_fragment>
+    <equation>
+      <term key="leftTerm" text="begin" />
+      <term key="rightTerm" code="plus">
+        <term key="leftTerm" text="1" />
+        <term key="rightTerm" text="begin" />
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+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="begin" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="result" />
+      <term key="rightTerm" code="summation">
+        <term key="maxValue" text="2" />
+        <term key="index" text="n" />
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+        <term key="argTerm" code="summation">
+          <term key="maxValue" text="2" />
+          <term key="index" text="p" />
+          <term key="minValue" text="0" />
+          <term key="argTerm" code="abs_layout">
+            <term key="argTerm" code="content:com.mkulesh.micromath.index.M1:2">
+              <term key="argTerm1" text="n" />
+              <term key="argTerm2" text="p" />
+            </term>
+          </term>
+        </term>
+      </term>
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+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
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+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="desired" />
+      <term key="rightTerm" text="45" />
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="desired" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="end" />
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+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="end" />
+      <term key="rightTerm" text="" />
+    </result>
+    <text_fragment numbering="true">
+      <term key="text" text="TC: Matrix assignment and modification" />
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+    <equation>
+      <term key="leftTerm" text="begin" />
+      <term key="rightTerm" code="plus">
+        <term key="leftTerm" text="1" />
+        <term key="rightTerm" text="begin" />
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+      <term key="leftTerm" text="begin" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" code="content:com.mkulesh.micromath.index.M1:2">
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+        <term key="argTerm2" text="m" />
+      </term>
+      <term key="rightTerm" code="content:com.mkulesh.micromath.index.M2:2">
+        <term key="argTerm1" text="k" />
+        <term key="argTerm2" text="m" />
+      </term>
+    </equation>
+    <equation inRightOfPrevious="true">
+      <term key="leftTerm" code="content:com.mkulesh.micromath.index.M1:2">
+        <term key="argTerm1" text="1" />
+        <term key="argTerm2" text="1" />
+      </term>
+      <term key="rightTerm" text="100" />
+    </equation>
+    <equation>
+      <term key="leftTerm" text="result" />
+      <term key="rightTerm" code="content:com.mkulesh.micromath.index.M1:2">
+        <term key="argTerm1" text="k" />
+        <term key="argTerm2" text="m" />
+      </term>
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="result" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="desired" />
+      <term key="rightTerm" code="matrix" rows="3" cols="3">
+        <term key="element[0][0]" text="-1" />
+        <term key="element[0][1]" text="-2" />
+        <term key="element[0][2]" text="-3" />
+        <term key="element[1][0]" text="-4" />
+        <term key="element[1][1]" text="100" />
+        <term key="element[1][2]" text="-6" />
+        <term key="element[2][0]" text="-7" />
+        <term key="element[2][1]" text="-8" />
+        <term key="element[2][2]" text="-9" />
+      </term>
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="desired" />
+      <term key="rightTerm" text="" />
+    </result>
+    <equation>
+      <term key="leftTerm" text="end" />
+      <term key="rightTerm" text="begin" />
+    </equation>
+    <result inRightOfPrevious="true" disableCalculation="false" hideResultField="false" arrayLength="7">
+      <term key="leftTerm" text="end" />
+      <term key="rightTerm" text="" />
+    </result>
+  </formulaList>
+</micromath>
\ No newline at end of file
diff --git a/app/src/main/java/com/mkulesh/micromath/math/EquationArrayResult.java b/app/src/main/java/com/mkulesh/micromath/math/EquationArrayResult.java
index d0287fdc..bc6ba474 100644
--- a/app/src/main/java/com/mkulesh/micromath/math/EquationArrayResult.java
+++ b/app/src/main/java/com/mkulesh/micromath/math/EquationArrayResult.java
@@ -79,10 +79,25 @@ public CalculatedValue[] getRawValues()
         return values;
     }
 
-    public void calculate(CalculaterTask thread, ArrayList<String> arguments, boolean useArgsAsDimension, final EquationArrayResult mergedArray) throws CancelException
+    public void calculate(CalculaterTask thread, ArrayList<String> args, boolean useArgsAsDimension, final EquationArrayResult mergedArray) throws CancelException
     {
         values = null;
 
+        final ArrayList<String> arguments = new ArrayList<>(args);
+
+        // allow to access a vector stored in matrix by one index
+        if (mergedArray != null && mergedArray.isVectorAsMatrix() && arguments.size() == 1)
+        {
+            if (mergedArray.dimensions[0] == 1)
+            {
+                arguments.add(0, "0");
+            }
+            else
+            {
+                arguments.add( "0");
+            }
+        }
+
         final int dimNumber = arguments.size();
         if (dimNumber < 1 || dimNumber > MAX_DIMENSION)
         {
@@ -314,7 +329,7 @@ public CalculatedValue getValue(final CalculatedValue[] args)
         CalculatedValue[] argValues = args.length == dimNumber ? args : null;
 
         // allow to access a vector stored in matrix by one index
-        if (isVectorAsMatrix() && args.length == 1)
+        if (dimensions != null && isVectorAsMatrix() && args.length == 1)
         {
             argValues = dimensions[0] == 1 ?
                     new CalculatedValue[]{ CalculatedValue.ZERO, args[0] } :
diff --git a/app/src/main/res/values/scripts.xml b/app/src/main/res/values/scripts.xml
index 68e5829a..518a4892 100644
--- a/app/src/main/res/values/scripts.xml
+++ b/app/src/main/res/values/scripts.xml
@@ -19,8 +19,10 @@
 
     <string-array name="autotest_scripts" translatable="false">
         <item>asset:/ta/ts_array_1d_index.mmt</item>
+        <item>asset:/ta/ts_array_1d_oper.mmt</item>
         <item>asset:/ta/ts_array_1d.mmt</item>
         <item>asset:/ta/ts_array_2d_index.mmt</item>
+        <item>asset:/ta/ts_array_2d_oper.mmt</item>
         <item>asset:/ta/ts_array_2d.mmt</item>
         <item>asset:/ta/ts_calculations.mmt</item>
         <item>asset:/ta/ts_fourier_transform.mmt</item>