# 5x^2-4x-12=0

# x1=5.0

# x2=-4.0
# x3 = -12.0

Rezult1Prompt: .asciiz "\nx1 = "

Rezult2Prompt: .asciiz "\nx2 = "

 

fourFloat:       .float -4.0       

fiveFloat:        .float 5.0

twelveFloat: .float -12.0        

 

two: .word 2

four: .word 4

 

# code segment

.globl main

main:

 lwc1 $f0, fiveFloat    # $f0 = 5.0

 lwc1 $f1, fourFloat   # $f1 = -4.0 

 lwc1 $f2, twelveFloat           # $f2 = -12.0

 

# calculate discriminant B^2-4AC

           mul.s $f8, $f1, $f1     # f8 = B^2

           mul.s $f9, $f0, $f2     # f9 = A*C

           l.s $f5, four

           cvt.s.w $f5, $f5                      # f5 = 4.0

           mul.s $f9, $f9, $f5     # f9 = 4*A*C 

           

# test: B^2 < 4*A*C

           c.lt.s $f8, $f9  # B^2 < 4*A*C?

           bc1f YesSolution        # if not, compute solutions

           j notSolution              # else, not solutions

           

# compute solutions

YesSolution:

           neg.s $f9, $f9                         # -4*A*C

           add.s $f9, $f8, $f9     # B^2 - 4*A*C

           sqrt.s $f9, $f9            # f9 = sqrt(B^2 - 4*A*C)

           mov.s $f7, $f1

           neg.s $f7, $f7                         # f7 = -B

           l.s $f5, two

           cvt.s.w $f5, $f5

           mul.s $f8, $f5, $f0     # f8 = 2*A

           add.s $f10, $f7, $f9

           div.s $f10, $f10, $f8   # f10 = x1

           neg.s $f9, $f9

           add.s $f11, $f7, $f9

           div.s $f11, $f11, $f8   # f11 = x2

 

           li $v0, 4 # printing string 

           la $a0,Rezult1Prompt # "\nx1 = "

           syscall 

           

           li $v0, 2 # system call code for printing a float

           mov.s $f12,$f10

           syscall 

           

           

           li $v0, 4 # printing a string

           la $a0,Rezult2Prompt

           syscall            

           

           li $v0, 2 # system call code for printing a float

           mov.s $f12,$f11

           syscall            

           

notSolution:   

 

           li $v0, 10         # finished .. stop .. return

syscall            # make the syscall