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Note: algorithms should be designed using PSEDUCODE
Q.1 Design an
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- The progarmming language is risc-v, sorry that i will dislike if not written in risc-v and copied from another answer Please also show the screenshot of the 3 test cases Write a function square in RISC-V that takes in an integer n ad returns its square. If n is not positive, then the function returns 0. Save your program as task1.s. Test cases: (1) n = 3, output: 9 (2) n = 12, output: 144 (3) n = -1, output: 0Consider the following algorithm and answer the questions. ALGORITHM X(A[0..n − 1])// Input: A contains n real numbers for i ← 0 to n − 2 do for j ← i + 1 to n − 1 do if A[j] > A[i] swap A[i] and A[j] 1. What does this algorithm compute? 2. What is the input size? 3. What is the basic operation? 4. How many times is the basic operation executed? (Set up a sum, and simplify the sum, to find the function expressing the number of repetitions of the basic operation.) 5. What is the efficiency class of this algorithm?Write a program using Scilab that includes the following lines x = linspace(0,1,N); y = sin(%pi*x/2); xi = linspace(0,1,100); The program should use the interp1 function to perform spline interpolation of the (x,y) data at the 100 xi points. These interpolated values should be compared to the exact values of the function sin(π x /2) and your program should use this to find the smallest number of samples N that gives an interpolation with an error of no more than ±0.00001
- Answer the given question with a proper explanation and step-by-step solution. Write an MIPS program that computes terms of the Fibonacci series, defined as: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55 ... (This is sometimes started with a 0th term: 0, 1, 1, 2, etc.)The first two terms in the series are fixed, and each subsequent term in the series is the sum of the preceding two terms. So, for example, the term 13 is the sum of the terms 5 and 8.Write the program as a counting loop that terminates when the 100th term of the series has been computed. Use a register for the current term and a register for the previous term. Each execution of the loop computes a new current term and then copies the old current term to the previous term register. Count the number of passes to stop after the 100th term. Do not worry about overflow: this will FAR exceed the capacity of a register to hold the value. Stop the program with a syscall with 10 in $v0.Write a MIPS program that, given an integer array, shifts the array to the left by a specified number.For example, if an array [5, 10, 15, 20, 25] and a number 3 are given, the array should be shifted to[20, 25, 0, 0, 0].The task should be presented in Latex, showing the codes used and the results of executing said codes. Realize a function called power where the inputs are a complex number z, a complex number c and a value α ∈ R and the output is the value of zc for the branch where |z| > 0 and α< arg(z)
- You are given a bitonic sequence, the task is to find the bitonic point in it. A Bitonic Sequence is a sequence of numbers which is first strictly increasing then after a point strictly decreasing. A Bitonic point doesn’t exist if array is only decreasing or only increasing. (Input : arr[] = {-3, -2, 4, 6, 10, 8, 7, 1} Output: 10)How can the following function be simplified so that it has a time complexity of O(n) or faster?For your information, the specifications of the functions are as follows: Using numbers ranging from 0 to 15 (inclusive), create all possible lists which sum up to K and have a length of N. Duplicated numbers are allowed as long as it fulfills the conditions above (this means [0,0,1], [0,1,0] and [1,0,0] are all correct outputs if K=1 and N=3). When instantiated with the list function, the list size of the function should be the number of all lists. For example, given K=23 and N=2, the expected list size is 8. The function must be able to accept N=10 and be finished before 9 seconds. Do not use itertools or external libraries.Write the Fibonacci Function program with: Recursive and Iterative method respectively using the following condition: Fib (1) is 1 Fib (2) is 1 Fib (N) is Fib (N-2) + Fib (N-1), for N > 2 Show the Hand Simulations of activation records for both the programs and display the output
- Give an algorithm that exchanges 2 memory units without extra memoryFor the DO WHILE AND GOTO loop below, generate an assembly language version of each DO WHILE loop int sumDoWhileLoop(int start, int end) { int sum = 0; int i = start; do { sum += i; i++; } while (i <= end); return sum;} GOTO loop int sumGotoLoop(int start, int end) { int sum = 0; int i = start; loop: sum += i; i++; if (i <= end) goto loop; return sum;} IS THE ASSEMBLY LANGUAGE VERSION OF EACH LOOP THE SAME OR DIFFERENT. COMPARE BASED ON No of registers used, jumps and total no of operationsWrite a function sumSquare in RISC-V that, when given an integer n, returns the odd-number summation. If n is not positive, then the function returns 0. .data n: .word 7 .text main: la t0, n lw a0, 0(t0) jal ra, sumSquare addi a1, a0, 0 addi a0, x0, 1 ecall # Print Result addi a0, x0, 10 ecall # Exit sumSquare: #YOUR CODE HERE square: mul a0, a0, a0 jr ra