种类

Sort elements of symbolic arrays

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Syntax

Y = sort(X)

Y = sort(X,dim)

Y = sort(___,direction)

[Y,我]=琼t(___)

描述

example

Y=排序（X)种类s the elements ofXin ascending lexicographical order.

如果X是一个向量，然后排序（x）分类矢量元素X。
如果X是矩阵，然后排序（x）treats the columns ofX作为向量和每个列分别独立分类。
如果X是一个多维数组，然后排序（x）operates along the first array dimension whose size does not equal 1, treating the elements as vectors.

example

Y=排序（X,dim)种类s the elements ofX沿尺寸dim。例如，如果Xis a two-dimensional matrix, then种类(X,1)分类每一列的元素X，和排序（x，2）分类每一行的元素。

example

Y=排序（___,方向)返回分类元素X按照指定的顺序方向使用任何先前的语法。'ascend'indicates ascending order (the default), and'descend'indicates descending order.

example

[Y,I] = sort(___)还返回以前任何语法的索引向量集合。I大小与Xand describes the arrangement of the elements ofXintoY沿着排序的维度。例如，如果Xis anm-经过-nmatrix and you sort the elements of each column (dim = 1), then each column ofI是分类列的索引向量X，这样

forj = 1:n Y(:,j) = X(I(:,j),j);end

例子

collapse all

Sort Symbolic Vector in Ascending Order

打开实时脚本

Create a symbolic row vector and sort its elements in ascending order.

symsabcde排序（[[7 E 1 C 5 D A B]）

ans =
                       $(\begin{array}{c} 1 & 5 & 7 & a & b & c & d & e \end{array})$

Sort Symbolic Matrix Along Its Columns and Rows

打开实时脚本

When sorting the elements of a matrix,种类can work along the columns or rows of that matrix.

创建一个符号矩阵。

X= magic(3)*sym('a')

X=
                      
                        $(\begin{array}{c} 8 a & a & 6 a \\ 3 a & 5 a & 7 a \\ 4 a & 9 a & 2 a \end{array})$

Sort the matrixX。By default, the种类command sorts the elements of each column.

Y = sort(X)

Y =
                      
                        $(\begin{array}{c} 3 a & a & 2 a \\ 4 a & 5 a & 6 a \\ 8 a & 9 a & 7 a \end{array})$

要对每一行的元素进行排序，请设置dim选项2。

Y = sort(X,2)

Y =
                      
                        $(\begin{array}{c} a & 6 a & 8 a \\ 3 a & 5 a & 7 a \\ 2 a & 4 a & 9 a \end{array})$

按降序排序符号矩阵

打开实时脚本

创建一个符号矩阵。

X= magic(3)*sym('a')

X=
                      
                        $(\begin{array}{c} 8 a & a & 6 a \\ 3 a & 5 a & 7 a \\ 4 a & 9 a & 2 a \end{array})$

Sort the elements of each row in descending order.

Y = sort(X,2,'descend')

Y =
                      
                        $(\begin{array}{c} 8 a & 6 a & a \\ 7 a & 5 a & 3 a \\ 9 a & 4 a & 2 a \end{array})$

查找原始矩阵中排序的矩阵元素的索引

打开实时脚本

找到矩阵的每个元素的索引Y在原始矩阵中X, call种类with two output arguments.

Create a symbolic matrixX。

X= magic(3)*sym('a')

X=
                      
                        $(\begin{array}{c} 8 a & a & 6 a \\ 3 a & 5 a & 7 a \\ 4 a & 9 a & 2 a \end{array})$

Sort each column ofXand return the indices of the sorted elements inI。Each column ofIcontains the presorted positions of entries inY。

[Y,我]=琼t(X)

Y =
                      
                        $(\begin{array}{c} 3 a & a & 2 a \\ 4 a & 5 a & 6 a \\ 8 a & 9 a & 7 a \end{array})$

I =3×32 1 3 3 2 1 1 3 2

Sort Symbolic Vector of Real and Complex Numbers

打开实时脚本

排序符号向量Xthat contains real and complex numbers. WhenX包含符号真实和复杂数，排序（x）returns the sorted real numbers, followed by the sorted complex numbers based on their real parts.

X=排序（sym([2 -1/2 3+4i 5i 4+3i]))

X=
                      
                        $(\begin{array}{c} - \frac{1}{2} & 2 & 5 i & 3 + 4 i & 4 + 3 i \end{array})$

Sort 3-D Symbolic Array

打开实时脚本

Create a 2-by-2-by-2 symbolic array that contains symbolic numbers, variables, and functions.

symsxyf(x);x（：，：，1）= [y 1;1/3 x];x（：，：：，2）= [x -2;1/4 F（x）];X

X(:,:,1) =
                      
                        $(\begin{array}{c} y & 1 \\ \frac{1}{3} & x \end{array})$

x（：，：：，2）=
                      
                        $(\begin{array}{c} x & - 2 \\ \frac{1}{4} & f (x) \end{array})$

Sort its elements in ascending order along the third dimension.

y =排序（x，3）

Y(:,:,1) =
                      
                        $(\begin{array}{c} x & - 2 \\ \frac{1}{4} & x \end{array})$

Y(:,:,2) =
                      
                        $(\begin{array}{c} y & 1 \\ \frac{1}{3} & f (x) \end{array})$

利用X（：）, the column representation ofX, to sort all of the elements ofX。

Y = sort(X(:))

Y =
                      
                        $(\begin{array}{c} - 2 \\ \frac{1}{4} \\ \frac{1}{3} \\ 1 \\ x \\ x \\ y \\ f (x) \end{array})$

Input Arguments

collapse all

`X`—输入数组
symbolic vector|符号矩阵|symbolic multidimensional array

输入阵列，指定为符号向量，矩阵或多维数组。种类使用以下规则：

如果X仅包含合理的符号实数，然后排序（x）种类s the elements numerically.
如果Xcontains only symbolic complex numbers with rational real and imaginary parts, then排序（x）首先按照它们的真实部位对元素进行分类，然后通过他们的虚构部分打破联系。
如果X仅包含符号变量，然后排序（x）种类s the elements alphabetically.
如果X包含符号数字（带有理性零件）和变量的混合物，然后排序（x）returns the following sequence: sorted real numbers, sorted complex numbers, and sorted variables.
如果X包含符号数字，表达式和函数，比较和分类元素可能在计算上很复杂。所以，种类使用内部排序规则来优化其性能。

`dim`—Dimension to operate along
正整数标量

沿着操作的维度，指定为正整数标量。如果未指定值，则默认值是第一个数组维度，其大小不等于1。

Consider a two-dimensional input arrayX:

种类(X,1)分类列中的元素X。
排序（x，2）分类成行的元素X。

种类returnsXifdim大于ndims(X)。

`方向`—Sorting direction
`'ascend'`(default) |`'descend'`

分类方向，指定为'ascend'或者'descend'。

Output Arguments

collapse all

`Y`- 排序的数组
symbolic vector | symbolic matrix | symbolic multidimensional array

排序的数组，作为符号向量，矩阵或多维数组返回。Y是相同的大小和类型X。

`I`— Sort index
symbolic vector | symbolic matrix | symbolic multidimensional array

Sort index, returned as a symbolic vector, matrix, or multidimensional array.I大小与X。The index vectors are oriented along the same dimension that种类操作。例如，如果Xis a 2-by-3 matrix, then[y，i] =排序（x，2）种类s the elements in each row ofX。输出I是包含每一行的预分数位置的1 x-3行索引向量的集合Y。

提示

打电话种类对于不是符号对象的数字数组^®种类function.
The种类function sorts symbolic complex numbers differently from MATLAB floating-point complex numbers. For symbolic inputX包含复数数字，排序（x）种类s the complex numbers first by their real parts, then by their imaginary parts to break ties. For floating-point inputX, by default,排序（x）种类s complex numbers by their magnitude, followed by their phase angles in the interval (−π, π] to break ties.

在R2006a之前引入

种类

Syntax

描述

例子

Sort Symbolic Vector in Ascending Order

Sort Symbolic Matrix Along Its Columns and Rows

按降序排序符号矩阵

查找原始矩阵中排序的矩阵元素的索引

Sort Symbolic Vector of Real and Complex Numbers

Sort 3-D Symbolic Array

Input Arguments

`X`—输入数组
symbolic vector|符号矩阵|symbolic multidimensional array

`dim`—Dimension to operate along
正整数标量

`方向`—Sorting direction
`'ascend'`(default) |`'descend'`

Output Arguments

`Y`- 排序的数组
symbolic vector | symbolic matrix | symbolic multidimensional array

`I`— Sort index
symbolic vector | symbolic matrix | symbolic multidimensional array

提示

符号数学工具箱文档

金宝app

Mathematical Modeling with Symbolic Math Toolbox

种类

Syntax

描述

例子

Sort Symbolic Vector in Ascending Order

Sort Symbolic Matrix Along Its Columns and Rows

按降序排序符号矩阵

查找原始矩阵中排序的矩阵元素的索引

Sort Symbolic Vector of Real and Complex Numbers

Sort 3-D Symbolic Array

Input Arguments

X—输入数组symbolic vector|符号矩阵|symbolic multidimensional array

dim—Dimension to operate along正整数标量

方向—Sorting direction'ascend'(default) |'descend'

Output Arguments

Y- 排序的数组symbolic vector | symbolic matrix | symbolic multidimensional array

I— Sort indexsymbolic vector | symbolic matrix | symbolic multidimensional array

提示

符号数学工具箱文档

金宝app

Mathematical Modeling with Symbolic Math Toolbox

`X`—输入数组
symbolic vector|符号矩阵|symbolic multidimensional array

`dim`—Dimension to operate along
正整数标量

`方向`—Sorting direction
`'ascend'`(default) |`'descend'`

`Y`- 排序的数组
symbolic vector | symbolic matrix | symbolic multidimensional array

`I`— Sort index
symbolic vector | symbolic matrix | symbolic multidimensional array