#Application 8
.text 0x00400000		#Code section

start:				#Display the message "\n a="
	li $v0,4			#Load the function number
	la $a0,read_a		#Load the message starting address
	syscall			#Function call

					#Read the first number
	li $v0,5			#Load the function number
	syscall			#Function call
	move $t1,$v0		#Load the number in $t1

					#Display the message "\n b="
	li $v0,4			#Load the function number
	la $a0,read_b		#Load the message starting address
	syscall			#Function call

					#Read the second number
	li $v0,5			#Load the function number
	syscall			#Function call
	move $t2,$v0		#Load the number in $t2

					#Display the message "\n[x1,x2]"
	li $v0,4			#Load the function number
	la $a0,range		#Load the message starting address
	syscall			#Function call
	
					#Display the message "\nx1="
	li $v0,4			#Load the function number
	la $a0,read_x1		#Load the message starting address
	syscall			#Function call

					#Read the first limit (Χ1)
	li $v0,5			#Load the function number
	syscall			#Function call
	move $t3,$v0		#Load the number in $t3

					#Display the message "\nx2="
	li $v0,4			#Load the function number
	la $a0,read_x2		#Load the message starting address
	syscall			#Function call


					#Read the second limit (Χ2)
	li $v0,5			#Load the function number
	syscall			#Function call
	move $t4,$v0		#Load the number in $t4
	
			#The first limit is the initial value of the counter
	move $t5,$t3		#$t5=counter
again:
	mul $t6,$t5,$t5   #Square calculation ($t6=$t5*$t5), Χ^2
	mul $t7,$t2,$t5 #Product calculation ($t7=$t2*$t5), bΧ
	mul $t6,$t6,$t1 #Calculation $t6=$t6*$t1, AX^2
	add $t6,$t6,$t7 #Calculation $t6=$t6+$t7, AX^2+BX
	beqz $t6,zero	  #If the result is zero, goto zero
cont:
	add $t5,$t5,1		#Counter update
	ble $t5,$t4,again	#Go to again if the second limit is 						#not overcome 

					#Display the message 
					#"\nProgram termination"
	li $v0,4			#Load the function number
	la $a0,term		#Load the message starting address
	syscall			#Function call
	
					#Program termination
	li $v0,10			#Load the function number
	syscall			#Function call

zero:				#Display message for the value that 					#causes a zero result 
					#Display the message 
					#"\nValue for f(x)=0, x="
	li $v0,4			#Load the function number
	la $a0,x_zero		#Load the message starting address
	syscall			#Function call

					#Display the value that causes 
					#the zero result
	li $v0,1			#Load the function number
	move $a0,$t5		#Load the value to be displayed
	syscall			#Function call
	j cont			#Return to iteration loop for 							#calculating the new value

.data					#Data section
read_a:	.asciiz "\n a="
read_b:	.asciiz "\n b="
range:	.asciiz "\n[x1,x2]"
read_x1:	.asciiz "\nx1="
read_x2:	.asciiz "\nx2="
x_zero:	.asciiz "\nValue for f(x)=0, x="
term:	.asciiz "\nProgram termination"