3 Consider the data in Table 1 below presented as a matrix f

3. Consider the data in Table 1 below, presented as a matrix, for actual run times in seconds of a particular executable program. Repeated 2 experiments were made, and the uncertainty in each datum is 0.01 of the value of the datum. The PEs have a clock rate of 2.0 GHz. The format is (compute time)/(systems time excluding communication)/(communications time).

3.1. Display a set of contour plots or other appropriate plots for the measured running times. N.B.: You may have to interpolate values within the table to produce these plots.

3.2. Given the nominal clock rate for the processor, report the data in clock ticks rather than seconds, and display a set of contour plots or other appropriate plots for the measured times in clock ticks.

3.3. Does the data display isoeciency for any portion or portions of the reported measurements? Justify and explain your conclusions.

Table 1

Amountof Data               10                      20                       40                            80

Numberof PEs 2              11/12/10           19/25/20           40/48/41           100/50/42

4                                      19/26/18          41/52/23               78/75/50           150/150/90

8                                      41/49/36           50/100/120              200/150/240     500/300/520

16                                     80/100/70         158/201/143               323/399/281     700/500/300

3                                      2 90/120/70      200/238/145               405/501/190     1000/1005/350

64                                     113/155/185     231/200/205               460/400/410     919/801/818

128                                   110/150/180    223/305/359               441/599/720     883/1200/1453

Table 2

Amountof Data               160                              320                                             640

Numberof PEs 2            300/53/41                   800/55/44                        1700/65/50

4                                398/520/200                   1200/1500/600               3000/1500/700

8                                 1110/700/600                 3000/1500/1200               8000/1800/2100

16                               2000/1000/700              4000/2000/800               7995/4003/1599

32                                 2000/2000/800              6000/5010/1550              14000/2000/2010

64                                1915/1700/950              5510/2100/1100              12000/2300/1400

128                             1761/1400/1800           3518/1510/1930               7590/3035/2100

Solution

C has a few capabilities as a part of the language and a few others as part of a wellknown library, that\'s a repository of code that is to be had alongside every trendy-conformant C compiler. when the C compiler compiles your program it normally also hyperlinks it with the usual C library. as an example, on encountering a #consist of <stdio.h> directive, it replaces the directive with the contents of the stdio.h header file.

when you operate capabilities from the library, C calls for you to declare what you will be the usage of. the primary line inside the application is a preprocessing directive which need to appear to be this:

#encompass <stdio.h>
The above line reasons the C declarations which are in the stdio.h header to be blanketed to be used in your application. typically that is carried out by means of just inserting into your program the contents of a header file referred to as stdio.h, positioned in a gadget-dependent place. The location of such files can be described for your compiler\'s documentation. A listing of trendy C header documents is listed below inside the Headers table.