Presentation is loading. Please wait.

Presentation is loading. Please wait.

CHAPTER 9 MUTIDIMENSIONAL ARRAYS. Introduction to multidimensional Arrays and Multiply subscripted variables.

Published byRoland Davidson Modified over 9 years ago

Similar presentations

Presentation on theme: "CHAPTER 9 MUTIDIMENSIONAL ARRAYS. Introduction to multidimensional Arrays and Multiply subscripted variables."— Presentation transcript:

1 CHAPTER 9 MUTIDIMENSIONAL ARRAYS

2 Introduction to multidimensional Arrays and Multiply subscripted variables

3 Compile-Time Arrays & Run-Time Arrays Compile-Time Arrays: The size is fixed before execution begins. Run-Time (or Allocatable 可分配的 ) Arrays: The memory is allocated ( 分配 ) during execution, making it possible to allocate an array of appropriate size.

4 Compile-Time Arrays REAL, DIMENSION(4, 3)::Temperature REAL, DIMENSION(1:4, 1:3):: Temperature Temperature (2, 3 ) 64.5 Temperature (I, J) REAL, DIMENSION(4, 3, 7):: TemperatureArray REAL, DIMENSION(1:4, 1:3, 1:7)::TemperatureArray TemperatureArray (1, 3, 2) → 64.3 TemperatureArray (Time, Location, Day) →

5 Compile-Time Arrays REAL, DIMENSION(1:2, -1:3)::Gamma Gamma(1, -1), Gamma(1,0), Gamma(1,1), Gamma(1, 2), Gamma(1,3), Gamma(2, -1), Gamma(2,0), Gamma(2,1), Gamma(2, 2), Gamma(2,3) REAL, DIMENSION (0:2, 0:3, 1:2) :: Beta INTEGER, DIMENSION(5:12) :: Kappa

6 Declaration of Compile-Time Array type, DIMENSION(l 1 :u 1, l 2 :u 2, ‧ ‧ ‧ l k :u k ) :: & list-of-array-names l i :u i The specified lower limit l i through the upper limit u i. The number k of dimensions, called the rank ( 秩 ) of array, is at most seven.

7 Declaration of Allocatable Array type, DIMENSION(:, :, ‧ ‧ ‧ :), & ALLOCATABLE :: list type, DIMENSION(:, :, ‧ ‧ ‧ :) :: list ALLOCATABLE :: list The rank k of the array (the number of dimensions) is at most seven.

8 Allocatable Array ( 可分配的 ) / Run-Time Arrays REAL, DIMENSION(:, :, :), ALLOCATABLE :: & Beta REAL, DIMENSION(:, :), ALLOCATABLE :: & Gamma

9 ALLOCATE Statement ALLOCATE (list) ALLOCATE (list, STAT = status-variable) where list is a list of array specifications of the form array-name (l 1 :u 1, l 2 :u 2, ‧ ‧ ‧ l k :u k ) ALLOCATE (Beta(0:2, 0:3, 1:2), Gamma & (1:N, -1:3), STAT = AllocateSatus) DEALLOCATE(***)

10 Input/Output of Multidimensional Arrays Element-wise Processing row ( 列 ) × column ( 行 ) Two natural orders for processing the elements of a two-dimensional array: row-wise and column-wise. In most cases, a programmer can select one of these orderings by controlling the way the subscripts ( 下標 ) vary. If this is not done, the Fortran convention is that two-dimensional arrays will be processed column-wise.

11 (a) Row-wise Processing (b) Column-wise Processing

12 Processing a Three-Dimensional Array (2 × 4 × 3)

13 Input/Output of Array Elements Using a DO loop Using the array name Using an implied DO loop Using an array section INTEGER, DIMENSION (3, 4) :: Table

14 Input/Output Using DO Loops INTEGER, DIMENSION (3, 4) :: Table DO Row = 1, 3 DO Col =1, 4 READ *, Table (Row, Col) END DO

15 Input/Output Using DO Loops INTEGER, DIMENSION (3, 4) :: Table DO Col =1, 4 DO Row = 1, 3 READ *, Table (Row, Col) END DO DO Row = 1, 3 DO Col =1, 4 PRINT *, Table (Row, Col) END DO

16 Input/Output Using the Array Name INTEGER, DIMENSION (3, 4) :: Table READ *, Table 77, 99, 48, 56, 10, 89 32, 100, 77, 25, 46, 33 PRINT ‘ (1X, 4I5/) ’ Table

17 Input/Output Using Implied DO Loops INTEGER, DIMENSION (3, 4) :: Table READ *, ((Table (Row, Col), Col =1, 4 ), & Row = 1, 3) READ *, (Table (Row,1), Table (Row,2), & Table (Row,3), Table (Row,4), & Row = 1, 3)

18 Input/Output Using Implied DO Loops READ *, ((Table (Row, Col), Row = 1, 3) ), & Col =1, 4) READ *, (((B(I, J, K), I = 1, 2), J =1, 4), & K = 1, 3)

19 Input/Output Using Implied DO Loops DO Row = 1, 3 PRINT ‘ (1X, 4I5) ’, (Table (Row, Col), Col =1, 4) END DO

20 Examples Figure 9.3, p.628 Temperature Table Rate is a 3 × 4 array

21 Examples: p. 630 READ *, N, (Number (I), I =1, N), M, & ((Rate (I,J), J = 1, N), I = 1, M) 4 16, 37, 76, 23 3 16.1, 7.3, 18.4, 6.5 0.0, 1.0, 1.0, 3.5 18.2, 16.9, 0.0, 0.0

22 Examples: p. 630 PRINT 5, ( “ Row ”, I, (Rate (I,J), J= 1, 4), I = 1, 3) 5 FORMAT (1X, A, I2, “ -- ”, 4F6.1/) Row 1-- 16.1 7.3 18.4 6.5 _________________________ Row 2-- 0.0 1.0 1.0 3.5 _________________________ Row 3-- 18.2 16.9 0.0 0.0 _________________________

23 Examples: p. 630 PRINT 6, (J, (Rate (I,J), I = 1, 3), & Number (J), J= 1, 4), “ Total ”, Total 6 FORMAT (4(1X, I4, 5X, 3F6.1, I10/), A, T35, I3) 1 16.1 0.0 18.2 16 2 7.3 1.0 16.9 37 3 18.4 1.0 0.0 76 4 6.5 3.5 0.0 23 Total 152

24 9.3 Processing Multidimensional Arrays Array Constants INTEGER, DIMENSION (2, 3) :: A A = RESHAPE ((/ 11, 22, 33, 44, 55, 66 /), (/ 2, 3 /)) or A = RESHAPE ((/ (11*N, N =1, 6) /), (/ 2, 3 /) Reshape (v.) 重塑 Shape (n. v.) 形狀

25 Array Constants A = RESHAPE ((/11, 22, 33, 44, 55, 66 /), & (/ 2, 3 /), ORDER = (/2, 1/)) The order (/2, 1/) specifies that the second subscript ( 下標 ) is to be varied before the first, which causes the array to be filled row-wise.

26 Array Constants A = RESHAPE ((/11, 22, 33, 44 /), (/ 2, 3 /), & PAD = (/0, 0/), ORDER = (/2, 1)) pad (v.) 填充

27 Array Constants The intrinsic function SHAPE can be used to determine the shape of an array, which consists of number of dimensions for array and the extent (the number of subscripts 下標 之大小程度 ) in each dimension. For example, SHAPE (A) will return (2, 3). Shape 形狀 (n.); 塑造 (v.)

28 Array Expressions (p. 636) & Array sections and Subarrays INTEGER, DIMENSION (2, 3) :: A A(1:2:1, 2:3:1) or A(:, 2:3)

29 Array sections and Subarrays A(2, 1:3:1) or A(2, :) A((/ 2, 1 /), 2:3)

30 Array Assignment INTEGER, DIMENSION (2, 3) :: A INTEGER, DIMENSION (3, 2) :: B A = 0 B = RESHAPE (A, (/3, 2/))

31 Array Assignment A(:, 2:3) = RESHAPE ((/ (I**2, I = 1, 4) /), & (/2, 3/))

32 Array Assignment: Example REAL, DIMENSION (2, 3) :: Alpha, Beta WHERE (Alpha /= 0.0) Beta = 1.0 / Alpha ELSEWHERE Beta = 0.0 END WHERE

33 Intrinsic Array-Processing Subprograms

34

35

36 Matrix Processing (Sec. 9.6) & Intrinsic Array-Processing Subprograms MATMUL (A, B) --- The product AB TRANSPOSE (A)

37 Application: Pollution Tables In a certain city, the air pollution is measured at a two-hour intervals, beginning at midnight. These measurements are recorded for a one- week period and stored in a file, the first line of which contains the pollution level for day 1, the second line for day 2, and so on. A program must be written to produce a weekly report that displays the pollution levels in a table of the form:

38 Monitoring Air Pollution

Download ppt "CHAPTER 9 MUTIDIMENSIONAL ARRAYS. Introduction to multidimensional Arrays and Multiply subscripted variables."

Similar presentations

Introduction to arrays

Introduction to arrays
12.010 Computational Methods of Scientific Programming Lecturers Thomas A Herring, Room 54-820A, Chris Hill, Room 54-1511,

Computational Methods of Scientific Programming Lecturers Thomas A Herring, Room A, Chris Hill, Room ,
CHAPTER 8 ARRAYS  An array is a group of storage locations (elements) that have the same name.  The element of an array is distinguished by using the.

CHAPTER 8 ARRAYS  An array is a group of storage locations (elements) that have the same name.  The element of an array is distinguished by using the.
Arrays Array Terminology Declarations Visualisation of Arrays Array Conformance Array Element Ordering Array Syntax Whole Array Expressions Array Sections.

Arrays Array Terminology Declarations Visualisation of Arrays Array Conformance Array Element Ordering Array Syntax Whole Array Expressions Array Sections.
Arrays-Part 1. Objectives Declare and initialize a one-dimensional array Store data in a one-dimensional array Display the contents of a one-dimensional.

Arrays-Part 1. Objectives Declare and initialize a one-dimensional array Store data in a one-dimensional array Display the contents of a one-dimensional.
11-1 Chapter 11 2D Arrays Asserting Java Rick Mercer.

11-1 Chapter 11 2D Arrays Asserting Java Rick Mercer.
Chapter 7 Introduction to Arrays Part I Dr. Ali Can Takinacı İstanbul Technical University Faculty of Naval Architecture and Ocean Engineering İstanbul.

Chapter 7 Introduction to Arrays Part I Dr. Ali Can Takinacı İstanbul Technical University Faculty of Naval Architecture and Ocean Engineering İstanbul.
18 April, 2000 CS1001 Lecture 23 Quiz 5 Multi-Dimensional Array.

18 April, 2000 CS1001 Lecture 23 Quiz 5 Multi-Dimensional Array.
©2004 Brooks/Cole Chapter 8 Arrays. Figures ©2004 Brooks/Cole CS 119: Intro to JavaFall 2005 Sometimes we have lists of data values that all need to be.

©2004 Brooks/Cole Chapter 8 Arrays. Figures ©2004 Brooks/Cole CS 119: Intro to JavaFall 2005 Sometimes we have lists of data values that all need to be.
29 April, 2000 CS1001 Lecture 26 Static vs Dynamic Data Structures Array vs Link List Pointers Link List Operations Example.

29 April, 2000 CS1001 Lecture 26 Static vs Dynamic Data Structures Array vs Link List Pointers Link List Operations Example.
Engineering H192 - Computer Programming The Ohio State University Gateway Engineering Education Coalition Lect 11P. 1Winter Quarter Arrays Lecture 11.

Engineering H192 - Computer Programming The Ohio State University Gateway Engineering Education Coalition Lect 11P. 1Winter Quarter Arrays Lecture 11.
ISBN 0-321-19362-8 Chapter 6 Data Types. Copyright © 2004 Pearson Addison-Wesley. All rights reserved.6-2 Figure 6.1 IEEE floating-point formats: (a)

ISBN Chapter 6 Data Types. Copyright © 2004 Pearson Addison-Wesley. All rights reserved.6-2 Figure 6.1 IEEE floating-point formats: (a)
Two Dimensional Arrays. One dimension Rank 1 Array INTEGER, DIMENSION (3) :: a Row 1 Row 2 Row 3.

Two Dimensional Arrays. One dimension Rank 1 Array INTEGER, DIMENSION (3) :: a Row 1 Row 2 Row 3.
Chapter 8 ARRAYS. 2 Array subscript expressions  Each subscript in an array element designator is an expression of integer type. It need not be a constant.

Chapter 8 ARRAYS. 2 Array subscript expressions  Each subscript in an array element designator is an expression of integer type. It need not be a constant.
Introduction of Arrays. Arrays Array form an important part of almost all programming language. It provides a powerful feature and can be used as such.

Introduction of Arrays. Arrays Array form an important part of almost all programming language. It provides a powerful feature and can be used as such.
Chapter 8 Arrays and Strings

Chapter 8 Arrays and Strings
Arrays (Part II). Two- and Multidimensional Arrays Two-dimensional array: collection of a fixed number of components (of the same type) arranged in two.

Arrays (Part II). Two- and Multidimensional Arrays Two-dimensional array: collection of a fixed number of components (of the same type) arranged in two.
LAB-12 2-D Array I Putu Danu Raharja Information & Computer Science Department CCSE - King Fahd University of Petroleum & Minerals.

LAB-12 2-D Array I Putu Danu Raharja Information & Computer Science Department CCSE - King Fahd University of Petroleum & Minerals.
Chapter 12 Pointers and linked structures. 2 Introduction  The data structures that expand or contract as required during the program execution is called.

Chapter 12 Pointers and linked structures. 2 Introduction  The data structures that expand or contract as required during the program execution is called.
1 Contents. 2 Run-Time Storage Organization 3 Static Allocation In many early languages, notably assembly and FORTRAN, all storage allocation is static.

1 Contents. 2 Run-Time Storage Organization 3 Static Allocation In many early languages, notably assembly and FORTRAN, all storage allocation is static.

Similar presentations

Ads by Google