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| <title>Library VectorMath / Class mat2x2</title> |
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| <a href="../index.html">Dart Documentation</a> |
| › <a href="../VectorMath.html">VectorMath</a> › <a href="../VectorMath/mat2x2.html">mat2x2</a></div> |
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| <h2><div class="icon-library"></div><a href="../dart_core.html">dart:core</a></h2><h2><div class="icon-library"></div><a href="../dart_coreimpl.html">dart:coreimpl</a></h2><h2><div class="icon-library"></div><a href="../VectorMath.html">VectorMath</a></h2><ul class="icon"> |
| <li><a href="../VectorMath/vec2.html"><div class="icon-class"></div>vec2</a></li> |
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| <li><div class="icon-class"></div><strong>mat2x2</strong></li> |
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| <div class="content"> |
| <h2>Class |
| <strong>mat2x2</strong></h2> |
| |
| <div class="doc"> |
| <p>mat2x2 is a column major matrix where each column is represented by <a class="crossref" href="../VectorMath/vec2.html">vec2</a>. This matrix has 2 columns and 2 rows.</p> |
| </div> |
| <h3>Constructors</h3> |
| <div class="method"><h4 id="mat2x2"> |
| <span class="show-code">Code</span> |
| new <strong>mat2x2</strong>([arg0, arg1, arg2, arg3]) <a class="anchor-link" href="#mat2x2" |
| title="Permalink to mat2x2.mat2x2">#</a></h4> |
| <div class="doc"> |
| <p>Constructs a new mat2x2. Supports GLSL like syntax so many possible inputs. Defaults to identity matrix.</p> |
| <pre class="source"> |
| mat2x2([Dynamic arg0, Dynamic arg1, Dynamic arg2, Dynamic arg3]) { |
| //Initialize the matrix as the identity matrix |
| col0 = new vec2(); |
| col1 = new vec2(); |
| col0[0] = 1.0; |
| col1[1] = 1.0; |
| if (arg0 is num && arg1 is num && arg2 is num && arg3 is num) { |
| col0[0] = arg0; |
| col0[1] = arg1; |
| col1[0] = arg2; |
| col1[1] = arg3; |
| return; |
| } |
| if (arg0 is num && arg1 == null && arg2 == null && arg3 == null) { |
| col0[0] = arg0; |
| col1[1] = arg0; |
| return; |
| } |
| if (arg0 is vec2 && arg1 is vec2) { |
| col0 = arg0; |
| col1 = arg1; |
| return; |
| } |
| if (arg0 is mat2x2) { |
| col0 = arg0.col0; |
| col1 = arg0.col1; |
| return; |
| } |
| if (arg0 is vec2 && arg1 == null && arg2 == null && arg3 == null) { |
| col0[0] = arg0[0]; |
| col1[1] = arg0[1]; |
| } |
| } |
| </pre> |
| </div> |
| </div> |
| <div class="method"><h4 id="mat2x2"> |
| <span class="show-code">Code</span> |
| new <strong>mat2x2</strong>.outer(<a href="../VectorMath/vec2.html">vec2</a> u, <a href="../VectorMath/vec2.html">vec2</a> v) <a class="anchor-link" href="#mat2x2" |
| title="Permalink to mat2x2.mat2x2">#</a></h4> |
| <div class="doc"> |
| <p>Constructs a new mat2x2 from computing the outer product of |
| <span class="param">u</span> and |
| <span class="param">v</span>.</p> |
| <pre class="source"> |
| mat2x2.outer(vec2 u, vec2 v) { |
| col0[0] = u[0] * v[0]; |
| col0[1] = u[0] * v[1]; |
| col1[0] = u[1] * v[0]; |
| col1[1] = u[1] * v[1]; |
| } |
| </pre> |
| </div> |
| </div> |
| <div class="method"><h4 id="mat2x2"> |
| <span class="show-code">Code</span> |
| new <strong>mat2x2</strong>.zero() <a class="anchor-link" href="#mat2x2" |
| title="Permalink to mat2x2.mat2x2">#</a></h4> |
| <div class="doc"> |
| <p>Constructs a new mat2x2 filled with zeros.</p> |
| <pre class="source"> |
| mat2x2.zero() { |
| col0[0] = 0.0; |
| col0[1] = 0.0; |
| col1[0] = 0.0; |
| col1[1] = 0.0; |
| } |
| </pre> |
| </div> |
| </div> |
| <h3>Methods</h3> |
| <div class="method"><h4 id="toString"> |
| <span class="show-code">Code</span> |
| <a href="../dart_core/String.html">String</a> <strong>toString</strong>() <a class="anchor-link" href="#toString" |
| title="Permalink to mat2x2.toString">#</a></h4> |
| <div class="doc"> |
| <p>Returns a printable string</p> |
| <pre class="source"> |
| String toString() { |
| String s = ''; |
| s += '[0] ${getRow(0)}\n'; |
| s += '[1] ${getRow(1)}\n'; |
| return s; |
| } |
| </pre> |
| </div> |
| </div> |
| <div class="method"><h4 id="get:rows"> |
| <span class="show-code">Code</span> |
| <a href="../dart_core/num.html">num</a> <strong>get rows</strong>() <a class="anchor-link" href="#get:rows" |
| title="Permalink to mat2x2.get rows">#</a></h4> |
| <div class="doc"> |
| <p>Returns the number of rows in the matrix.</p> |
| <pre class="source"> |
| num get rows() => 2; |
| </pre> |
| </div> |
| </div> |
| <div class="method"><h4 id="get:cols"> |
| <span class="show-code">Code</span> |
| <a href="../dart_core/num.html">num</a> <strong>get cols</strong>() <a class="anchor-link" href="#get:cols" |
| title="Permalink to mat2x2.get cols">#</a></h4> |
| <div class="doc"> |
| <p>Returns the number of columns in the matrix.</p> |
| <pre class="source"> |
| num get cols() => 2; |
| </pre> |
| </div> |
| </div> |
| <div class="method"><h4 id="get:length"> |
| <span class="show-code">Code</span> |
| <a href="../dart_core/num.html">num</a> <strong>get length</strong>() <a class="anchor-link" href="#get:length" |
| title="Permalink to mat2x2.get length">#</a></h4> |
| <div class="doc"> |
| <p>Returns the number of columns in the matrix.</p> |
| <pre class="source"> |
| num get length() => 2; |
| </pre> |
| </div> |
| </div> |
| <div class="method"><h4 id=":index"> |
| <span class="show-code">Code</span> |
| <a href="../VectorMath/vec2.html">vec2</a> <strong>operator []</strong>(<a href="../dart_core/int.html">int</a> column) <a class="anchor-link" href="#:index" |
| title="Permalink to mat2x2.operator []">#</a></h4> |
| <div class="doc"> |
| <p>Gets the |
| <span class="param">column</span> of the matrix</p> |
| <pre class="source"> |
| vec2 operator[](int column) { |
| assert(column >= 0 && column < 2); |
| switch (column) { |
| case 0: return col0; break; |
| case 1: return col1; break; |
| } |
| throw new IllegalArgumentException(column); |
| } |
| </pre> |
| </div> |
| </div> |
| <div class="method"><h4 id=":setindex"> |
| <span class="show-code">Code</span> |
| <a href="../VectorMath/vec2.html">vec2</a> <strong>operator []=</strong>(<a href="../dart_core/int.html">int</a> column, <a href="../VectorMath/vec2.html">vec2</a> arg) <a class="anchor-link" href="#:setindex" |
| title="Permalink to mat2x2.operator []=">#</a></h4> |
| <div class="doc"> |
| <p>Assigns the |
| <span class="param">column</span> of the matrix |
| <span class="param">arg</span></p> |
| <pre class="source"> |
| vec2 operator[]=(int column, vec2 arg) { |
| assert(column >= 0 && column < 2); |
| switch (column) { |
| case 0: col0 = arg; return col0; break; |
| case 1: col1 = arg; return col1; break; |
| } |
| throw new IllegalArgumentException(column); |
| } |
| </pre> |
| </div> |
| </div> |
| <div class="method"><h4 id="get:row0"> |
| <span class="show-code">Code</span> |
| <a href="../VectorMath/vec2.html">vec2</a> <strong>get row0</strong>() <a class="anchor-link" href="#get:row0" |
| title="Permalink to mat2x2.get row0">#</a></h4> |
| <div class="doc"> |
| <p>Returns row 0</p> |
| <pre class="source"> |
| vec2 get row0() => getRow(0); |
| </pre> |
| </div> |
| </div> |
| <div class="method"><h4 id="set:row0"> |
| <span class="show-code">Code</span> |
| <strong>set row0</strong>(<a href="../VectorMath/vec2.html">vec2</a> arg) <a class="anchor-link" href="#set:row0" |
| title="Permalink to mat2x2.set row0">#</a></h4> |
| <div class="doc"> |
| <p>Sets row 0 to |
| <span class="param">arg</span></p> |
| <pre class="source"> |
| set row0(vec2 arg) => setRow(0, arg); |
| </pre> |
| </div> |
| </div> |
| <div class="method"><h4 id="get:row1"> |
| <span class="show-code">Code</span> |
| <a href="../VectorMath/vec2.html">vec2</a> <strong>get row1</strong>() <a class="anchor-link" href="#get:row1" |
| title="Permalink to mat2x2.get row1">#</a></h4> |
| <div class="doc"> |
| <p>Returns row 1</p> |
| <pre class="source"> |
| vec2 get row1() => getRow(1); |
| </pre> |
| </div> |
| </div> |
| <div class="method"><h4 id="set:row1"> |
| <span class="show-code">Code</span> |
| <strong>set row1</strong>(<a href="../VectorMath/vec2.html">vec2</a> arg) <a class="anchor-link" href="#set:row1" |
| title="Permalink to mat2x2.set row1">#</a></h4> |
| <div class="doc"> |
| <p>Sets row 1 to |
| <span class="param">arg</span></p> |
| <pre class="source"> |
| set row1(vec2 arg) => setRow(1, arg); |
| </pre> |
| </div> |
| </div> |
| <div class="method"><h4 id="setRow"> |
| <span class="show-code">Code</span> |
| <a href="../dart_core/void.html">void</a> <strong>setRow</strong>(<a href="../dart_core/int.html">int</a> row, <a href="../VectorMath/vec2.html">vec2</a> arg) <a class="anchor-link" href="#setRow" |
| title="Permalink to mat2x2.setRow">#</a></h4> |
| <div class="doc"> |
| <p>Assigns the <code>column</code> of the matrix |
| <span class="param">arg</span></p> |
| <pre class="source"> |
| void setRow(int row, vec2 arg) { |
| assert(row >= 0 && row < 2); |
| this[0][row] = arg[0]; |
| this[1][row] = arg[1]; |
| } |
| </pre> |
| </div> |
| </div> |
| <div class="method"><h4 id="getRow"> |
| <span class="show-code">Code</span> |
| <a href="../VectorMath/vec2.html">vec2</a> <strong>getRow</strong>(<a href="../dart_core/int.html">int</a> row) <a class="anchor-link" href="#getRow" |
| title="Permalink to mat2x2.getRow">#</a></h4> |
| <div class="doc"> |
| <p>Gets the |
| <span class="param">row</span> of the matrix</p> |
| <pre class="source"> |
| vec2 getRow(int row) { |
| assert(row >= 0 && row < 2); |
| vec2 r = new vec2(); |
| r[0] = this[0][row]; |
| r[1] = this[1][row]; |
| return r; |
| } |
| </pre> |
| </div> |
| </div> |
| <div class="method"><h4 id="setColumn"> |
| <span class="show-code">Code</span> |
| <a href="../dart_core/void.html">void</a> <strong>setColumn</strong>(<a href="../dart_core/int.html">int</a> column, <a href="../VectorMath/vec2.html">vec2</a> arg) <a class="anchor-link" href="#setColumn" |
| title="Permalink to mat2x2.setColumn">#</a></h4> |
| <div class="doc"> |
| <p>Assigns the |
| <span class="param">column</span> of the matrix |
| <span class="param">arg</span></p> |
| <pre class="source"> |
| void setColumn(int column, vec2 arg) { |
| assert(column >= 0 && column < 2); |
| this[column] = arg; |
| } |
| </pre> |
| </div> |
| </div> |
| <div class="method"><h4 id="getColumn"> |
| <span class="show-code">Code</span> |
| <a href="../VectorMath/vec2.html">vec2</a> <strong>getColumn</strong>(<a href="../dart_core/int.html">int</a> column) <a class="anchor-link" href="#getColumn" |
| title="Permalink to mat2x2.getColumn">#</a></h4> |
| <div class="doc"> |
| <p>Gets the |
| <span class="param">column</span> of the matrix</p> |
| <pre class="source"> |
| vec2 getColumn(int column) { |
| assert(column >= 0 && column < 2); |
| return new vec2(this[column]); |
| } |
| </pre> |
| </div> |
| </div> |
| <div class="method"><h4 id=":mul"> |
| <span class="show-code">Code</span> |
| <strong>operator *</strong>(arg) <a class="anchor-link" href="#:mul" |
| title="Permalink to mat2x2.operator *">#</a></h4> |
| <div class="doc"> |
| <p>Returns a new vector or matrix by multiplying <code>this</code> with |
| <span class="param">arg</span>.</p> |
| <pre class="source"> |
| Dynamic operator*(Dynamic arg) { |
| if (arg is num) { |
| mat2x2 r = new mat2x2(); |
| r[0][0] = this[0][0] * arg; |
| r[0][1] = this[0][1] * arg; |
| r[1][0] = this[1][0] * arg; |
| r[1][1] = this[1][1] * arg; |
| return r; |
| } |
| if (arg is vec2) { |
| vec2 r = new vec2(); |
| r[0] = dot(row0, arg); |
| r[1] = dot(row1, arg); |
| return r; |
| } |
| if (2 == arg.cols) { |
| Dynamic r = null; |
| if (arg.rows == 2) { |
| r = new mat2x2(); |
| } |
| if (arg.rows == 3) { |
| r = new mat2x3(); |
| } |
| if (arg.rows == 4) { |
| r = new mat2x4(); |
| } |
| for (int j = 0; j < arg.rows; j++) { |
| r[0][j] = dot(this.getRow(0), arg.getColumn(j)); |
| } |
| for (int j = 0; j < arg.rows; j++) { |
| r[1][j] = dot(this.getRow(1), arg.getColumn(j)); |
| } |
| return r; |
| } |
| throw new IllegalArgumentException(arg); |
| } |
| </pre> |
| </div> |
| </div> |
| <div class="method"><h4 id=":add"> |
| <span class="show-code">Code</span> |
| <a href="../VectorMath/mat2x2.html">mat2x2</a> <strong>operator +</strong>(<a href="../VectorMath/mat2x2.html">mat2x2</a> arg) <a class="anchor-link" href="#:add" |
| title="Permalink to mat2x2.operator +">#</a></h4> |
| <div class="doc"> |
| <p>Returns new matrix after component wise <code>this</code> + |
| <span class="param">arg</span></p> |
| <pre class="source"> |
| mat2x2 operator+(mat2x2 arg) { |
| mat2x2 r = new mat2x2(); |
| r[0][0] = this[0][0] + arg[0][0]; |
| r[0][1] = this[0][1] + arg[0][1]; |
| r[1][0] = this[1][0] + arg[1][0]; |
| r[1][1] = this[1][1] + arg[1][1]; |
| return r; |
| } |
| </pre> |
| </div> |
| </div> |
| <div class="method"><h4 id=":sub"> |
| <span class="show-code">Code</span> |
| <a href="../VectorMath/mat2x2.html">mat2x2</a> <strong>operator -</strong>(<a href="../VectorMath/mat2x2.html">mat2x2</a> arg) <a class="anchor-link" href="#:sub" |
| title="Permalink to mat2x2.operator -">#</a></h4> |
| <div class="doc"> |
| <p>Returns new matrix after component wise <code>this</code> - |
| <span class="param">arg</span></p> |
| <pre class="source"> |
| mat2x2 operator-(mat2x2 arg) { |
| mat2x2 r = new mat2x2(); |
| r[0][0] = this[0][0] - arg[0][0]; |
| r[0][1] = this[0][1] - arg[0][1]; |
| r[1][0] = this[1][0] - arg[1][0]; |
| r[1][1] = this[1][1] - arg[1][1]; |
| return r; |
| } |
| </pre> |
| </div> |
| </div> |
| <div class="method"><h4 id=":negate"> |
| <span class="show-code">Code</span> |
| <a href="../VectorMath/mat2x2.html">mat2x2</a> <strong>operator negate</strong>() <a class="anchor-link" href="#:negate" |
| title="Permalink to mat2x2.operator negate">#</a></h4> |
| <div class="doc"> |
| <p>Returns new matrix -this</p> |
| <pre class="source"> |
| mat2x2 operator negate() { |
| mat2x2 r = new mat2x2(); |
| r[0] = -this[0]; |
| r[1] = -this[1]; |
| return r; |
| } |
| </pre> |
| </div> |
| </div> |
| <div class="method"><h4 id="transposed"> |
| <span class="show-code">Code</span> |
| <a href="../VectorMath/mat2x2.html">mat2x2</a> <strong>transposed</strong>() <a class="anchor-link" href="#transposed" |
| title="Permalink to mat2x2.transposed">#</a></h4> |
| <div class="doc"> |
| <p>Returns the tranpose of this.</p> |
| <pre class="source"> |
| mat2x2 transposed() { |
| mat2x2 r = new mat2x2(); |
| r[0][0] = this[0][0]; |
| r[1][0] = this[0][1]; |
| r[0][1] = this[1][0]; |
| r[1][1] = this[1][1]; |
| return r; |
| } |
| </pre> |
| </div> |
| </div> |
| <div class="method"><h4 id="absolute"> |
| <span class="show-code">Code</span> |
| <a href="../VectorMath/mat2x2.html">mat2x2</a> <strong>absolute</strong>() <a class="anchor-link" href="#absolute" |
| title="Permalink to mat2x2.absolute">#</a></h4> |
| <div class="doc"> |
| <p>Returns the component wise absolute value of this.</p> |
| <pre class="source"> |
| mat2x2 absolute() { |
| mat2x2 r = new mat2x2(); |
| r[0][0] = this[0][0].abs(); |
| r[0][1] = this[0][1].abs(); |
| r[1][0] = this[1][0].abs(); |
| r[1][1] = this[1][1].abs(); |
| return r; |
| } |
| </pre> |
| </div> |
| </div> |
| <div class="method"><h4 id="determinant"> |
| <span class="show-code">Code</span> |
| <a href="../dart_core/num.html">num</a> <strong>determinant</strong>() <a class="anchor-link" href="#determinant" |
| title="Permalink to mat2x2.determinant">#</a></h4> |
| <div class="doc"> |
| <p>Returns the determinant of this matrix.</p> |
| <pre class="source"> |
| num determinant() { |
| return (this[0][0] * this[1][1]) - (this[0][1]*this[1][0]); |
| } |
| </pre> |
| </div> |
| </div> |
| <div class="method"><h4 id="trace"> |
| <span class="show-code">Code</span> |
| <a href="../dart_core/num.html">num</a> <strong>trace</strong>() <a class="anchor-link" href="#trace" |
| title="Permalink to mat2x2.trace">#</a></h4> |
| <div class="doc"> |
| <p>Returns the trace of the matrix. The trace of a matrix is the sum of the diagonal entries</p> |
| <pre class="source"> |
| num trace() { |
| num t = 0.0; |
| t += this[0][0]; |
| t += this[1][1]; |
| return t; |
| } |
| </pre> |
| </div> |
| </div> |
| <div class="method"><h4 id="infinityNorm"> |
| <span class="show-code">Code</span> |
| <a href="../dart_core/num.html">num</a> <strong>infinityNorm</strong>() <a class="anchor-link" href="#infinityNorm" |
| title="Permalink to mat2x2.infinityNorm">#</a></h4> |
| <div class="doc"> |
| <p>Returns infinity norm of the matrix. Used for numerical analysis.</p> |
| <pre class="source"> |
| num infinityNorm() { |
| num norm = 0.0; |
| { |
| num row_norm = 0.0; |
| row_norm += this[0][0].abs(); |
| row_norm += this[0][1].abs(); |
| norm = row_norm > norm ? row_norm : norm; |
| } |
| { |
| num row_norm = 0.0; |
| row_norm += this[1][0].abs(); |
| row_norm += this[1][1].abs(); |
| norm = row_norm > norm ? row_norm : norm; |
| } |
| return norm; |
| } |
| </pre> |
| </div> |
| </div> |
| <div class="method"><h4 id="relativeError"> |
| <span class="show-code">Code</span> |
| <a href="../dart_core/num.html">num</a> <strong>relativeError</strong>(<a href="../VectorMath/mat2x2.html">mat2x2</a> correct) <a class="anchor-link" href="#relativeError" |
| title="Permalink to mat2x2.relativeError">#</a></h4> |
| <div class="doc"> |
| <p>Returns relative error between <code>this</code> and |
| <span class="param">correct</span></p> |
| <pre class="source"> |
| num relativeError(mat2x2 correct) { |
| num this_norm = infinityNorm(); |
| num correct_norm = correct.infinityNorm(); |
| num diff_norm = (this_norm - correct_norm).abs(); |
| return diff_norm/correct_norm; |
| } |
| </pre> |
| </div> |
| </div> |
| <div class="method"><h4 id="absoluteError"> |
| <span class="show-code">Code</span> |
| <a href="../dart_core/num.html">num</a> <strong>absoluteError</strong>(<a href="../VectorMath/mat2x2.html">mat2x2</a> correct) <a class="anchor-link" href="#absoluteError" |
| title="Permalink to mat2x2.absoluteError">#</a></h4> |
| <div class="doc"> |
| <p>Returns absolute error between <code>this</code> and |
| <span class="param">correct</span></p> |
| <pre class="source"> |
| num absoluteError(mat2x2 correct) { |
| num this_norm = infinityNorm(); |
| num correct_norm = correct.infinityNorm(); |
| num diff_norm = (this_norm - correct_norm).abs(); |
| return diff_norm; |
| } |
| </pre> |
| </div> |
| </div> |
| <h3>Fields</h3> |
| <div class="field"><h4 id="col0"> |
| <span class="show-code">Code</span> |
| <a href="../VectorMath/vec2.html">vec2</a> <strong>col0</strong> <a class="anchor-link" |
| href="#col0" |
| title="Permalink to mat2x2.col0">#</a> |
| </h4> |
| <div class="doc"> |
| |
| <pre class="source"> |
| vec2 col0; |
| </pre> |
| </div> |
| </div> |
| <div class="field"><h4 id="col1"> |
| <span class="show-code">Code</span> |
| <a href="../VectorMath/vec2.html">vec2</a> <strong>col1</strong> <a class="anchor-link" |
| href="#col1" |
| title="Permalink to mat2x2.col1">#</a> |
| </h4> |
| <div class="doc"> |
| |
| <pre class="source"> |
| vec2 col1; |
| </pre> |
| </div> |
| </div> |
| </div> |
| <div class="clear"></div> |
| </div> |
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