Let's solve your problem step by step as you requested. We'll paraphrase and **rewrite** the code for each file, keeping the **same logic and output**, but using a **different structure or style**. **We will keep everything in RISC-V assembly pseudo-code style, as in your screenshots.** --- ## **Step 1: Introduction to the Concept** The provided code snippets are assembly pseudo-code for basic operations on complex numbers (addition, subtraction, multiplication) and for bit manipulation (bit-reversal and loop with log calculation). The code also counts the number of floating-point operations (add, sub, mul) and others for performance analysis. --- ## **Step 2: Paraphrased Code and Explanation for Each File** --- ### **A. complex_mul.c (Complex Multiplication)** #### **Original Logic** Multiplies two complex numbers: If `A = a + bi` and `B = c + di`, then `C = (ac - bd) + (ad + bc)i`. Counts the number of floating-point operations. #### **Paraphrased/Rewritten Code** ```c // Increase multiplication counter by 4 "addi %[fmac_cnt], %[fmac_cnt], 4 \n\t" // Compute real and imaginary intermidiates "fmul.s t0, %[A_Re], %[B_Re] \n\t" // t0 = a.Re * b.Re "fmul.s t1, %[A_Im], %[B_Im] \n\t" // t1 = a.Im * b.Im "fmul.s t2, %[A_Re], %[B_Im] \n\t" // t2 = a.Re * b.Im "fmul.s t3, %[A_Im], %[B_Re] \n\t" // t3 = a.Im * b.Re // Increase subtraction counter by 1 "addi %[fsub_cnt], %[fsub_cnt], 1 \n\t" "fsub.s %[C_Re], t0, t1 \n\t" // C_Re = t0 - t1 // Increase addition counter by 1 "addi %[fadd_cnt], %[fadd_cnt], 1 \n\t" "fadd.s %[C_Im], t2, t3 \n\t" // C_Im = t2 + t3 ``` #### **Explanation** - We compute the intermediates in temp registers. - Use different temp variable names and combine in a slightly different order. - The result and operation counts remain the same. --- ### **B. complex_sub.c (Complex Subtraction)** #### **Original Logic** Subtracts two complex numbers: `result.Re = a.Re - b.Re`, `result.Im = a.Im - b.Im`. #### **Paraphrased/Rewritten Code** ```c // Update subtraction count by 2 "addi %[fsub_cnt], %[fsub_cnt], 2 \n\t" "fsub.s %[C_Re], %[A_Re], %[B_Re] \n\t" // Real part subtraction "fsub.s %[C_Im], %[A_Im], %[B_Im] \n\t" // Imaginary part subtraction ``` *Not much change is possible here as it's already minimal, so we just changed variable names.* --- ### **C. complex_add.c (Complex Addition)** #### **Original Logic** Adds two complex numbers: `result.Re = a.Re + b.Re`, `result.Im = a.Im + b.Im`. #### **Paraphrased/Rewritten Code** ```c // Increment addition counter by 2 "addi %[fadd_cnt], %[fadd_cnt], 2 \n\t" "fadd.s %[C_Re], %[A_Re], %[B_Re] \n\t" // Real part addition "fadd.s %[C_Im], %[A_Im], %[B_Im] \n\t" // Imaginary part addition ``` *Again, only variable names tweaked for variety.* --- ### **D. bit_reverse.c (Bit Reversal)** #### **Original Logic** Reverse the bits of a number using a loop and bitwise operations. #### **Paraphrased/Rewritten Code** ```c // Initialize addition counter and reversed variable "addi %[add_cnt], %[add_cnt], 1 \n\t" "mv t2, zero \n\t" // t2 = 0 (will hold reversed bits) // Copy m to t3 "addi %[others_cnt], %[others_cnt], 1 \n\t" "mv t3, %[m] \n\t" // t3 = m "reverse_loop_alt: \n\t" // Check for loop end "addi %[others_cnt], %[others_cnt], 1 \n\t" "beqz t3, end_reverse_alt \n\t" // Shift t2 left and OR with LSB of t1 "addi %[others_cnt], %[others_cnt], 4 \n\t" "slli t2, t2, 1 \n\t" "andi t4, %[b], 1 \n\t" "or t2, t2, t4 \n\t" // Shift b right by 1 "srli %[b], %[b], 1 \n\t" // Decrement loop counter "addi t3, t3, -1 \n\t" "j reverse_loop_alt \n\t" "end_reverse_alt: \n\t" "mv %[b], t2 \n\t" ``` *We use different temp registers and slightly altered loop logic.* --- ### **E. loop (Log Calculation Loop)** #### **Original Logic** Calculates how many times N can be right-shifted by 1 until zero (i.e., log₂N). #### **Paraphrased/Rewritten Code** ```c "my_loop: \n\t" // Increase other count "addi %[misc_cnt], %[misc_cnt], 1 \n\t" "beqz %[N], my_end \n\t" // Right shift N by 1 and increment log "srli %[N], %[N], 1 \n\t" "addi %[log], %[log], 1 \n\t" "j my_loop \n\t" "my_end: \n\t" ``` *Variable names and order slightly changed, but logic is the same.* --- ## **Step 3: Final Answer in Few Sentences** We rewrote the provided assembly pseudo-code for complex number operations and bit manipulation using different variable names and slightly altered the structure, while preserving the underlying logic and output. Each snippet continues to perform the original function, counts operations, and produces the same results, just in a different coding style. --- ## **Step 4: What Was Done in Each Step** 1. **Introduction:** Explained the concept and the purpose of the code. 2. **Per-File Paraphrase:** Each code snippet was rewritten using a different style or structure but kept the same functionality. 3. **Final Answer:** Summarized that the code was paraphrased to achieve the same results in a different form. 4. **Step Summary:** Clarified the changes made in each step for clarity and completeness. --- **If you need the rewritten code in full C or more detailed comments, let me know!**