课程名称︰计算机程式 课程性质︰化工系必修 课程教师︰谌(ㄔㄣˊ)玉真 开课学院：工学院 开课系所︰化工系 考试日期（年月日）︰2013/11/10 考试时限（分钟）：120mins 是否需发放奖励金：是 （如未明确表示，则不予发放） 试题 : ＊每题後面加上助教考前解说 1.(25%)Read in the following 10 strings.Write a subroutine lease that properly converts the srings to lowercase regardless of collating sequence and write a subroutine sortc to sort the strings according to the aphabetic order. Klasd aSdsfLe lAsdEsa Lsda Jawe Bdsle OWsdlv vaSlEw fFsdfd qALldfg 解说: data档(data01.txt)如上 这不是乱打的 助教在考前会先给 也可以自己打 做两个subroutine一个把全部转成小写 一个依字母排序 可以写在module或是原本的program中 写module的要付上module档 2.(25%)Two structures S1 and S2 of type sphere are passed to the function Distance, which calculates and returns the distance of the line segment joining two centers. The structures S1 and S2 are then passed to the sub -routine FingOverlap, which determines whether or not the two sphere ove -rlap. The declarations of type point and type sphere are as follows: Type point Type sphere real::x,...... Type(point)::center End type point real::radius End type sphere 解说:用上述的宣告方式做出一个function和subroutine 分别计算两圆心距离和判断是否相交 3.(25%)Consider the problem of finding the volume above the cone Z^2=X^2 +Y^2 and inside the cylinder X^2 + Y^2 = 1 with 0<=z<=2 解说:算出两方程式中包含的体积 使用Monte Carlo method 使用10000个点就好了 4.(35%)The IMSL library contains many subroutines and functions for numeri -cal calculations. Write a program to proceed with the subsequent steps. (a)(5%)Gernerate 21 (x,y) values from the equation for x = 0.0, 0.25,... ,5.0 and save the data in exam4.txt. y(x)= x^3 -16x^2 +65x -50 (b)(5%)Perform a third order fit to the data set(exam4.txt) by IMSL. Show the percentage error of each coefficient, i.e. percentage error=╭fitted coefficent-ture coefficient╮ ｜—————————————————｜*100% ╰ true coefficient ╯ (c)(10%)Find the roots of the function using IMSL (all 3 roots) and your own subroutine by using Bisection method (3 real roots). Please refer to the follwong graph for the initial guesses(xl and xu). (d)(15%)Integrate the function from x=6 to x=8 using IMSL and your own subroutines including trapezoidal method and Monte Carlo method.Please refer to the following graph for using the Monte Carlo method. The y vs. x plot is as follows: http://ppt.cc/Zc4m 解说:exam4.txt自己建 --

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