Python v svoji definiciji ponuja določene metode za izvajanje hitrejše decimalne aritmetike s plavajočo vejico z uporabo modula 'decimal'.
Pomembne operacije z decimalkami
1. sqrt() :- Ta funkcija izračuna kvadratni koren decimalnega števila.
2. exp() :- Ta funkcija vrne e^x (eksponent) decimalnega števila.
# Python code to demonstrate the working of # sqrt() and exp() # importing 'decimal' module to use decimal functions import decimal # using exp() to compute the exponent of decimal number a = decimal.Decimal(4.5).exp() # using sqrt() to compute the square root of decimal number b = decimal.Decimal(4.5).sqrt() # printing the exponent print ('The exponent of decimal number is : 'end='') print (a) # printing the square root print ('The square root of decimal number is : 'end='') print (b)
Izhod:
The exponent of decimal number is : 90.01713130052181355011545675
The square root of decimal number is : 2.121320343559642573202533086
3. ln() :- Ta funkcija se uporablja za izračun naravni logaritem decimalnega števila.
4. log10() :- Ta funkcija se uporablja za izračun dnevnik (osnova 10) decimalnega števila.
# Python code to demonstrate the working of # ln() and log10() # importing 'decimal' module to use decimal functions import decimal # using ln() to compute the natural log of decimal number a = decimal.Decimal(4.5).ln() # using sqrt() to compute the log10 of decimal number b = decimal.Decimal(4.5).log10() # printing the natural logarithm print ('The natural logarithm of decimal number is : 'end='') print (a) # printing the log10 print ('The log(base 10) of decimal number is : 'end='') print (b)
Izhod:
The natural logarithm of decimal number is : 1.504077396776274073373258352
The log(base 10) of decimal number is : 0.6532125137753436793763169118
5. as_tuple() :- Vrne decimalno število kot torka, ki vsebuje 3 znaki argumentov (0 za + 1 za -) števke in vrednost eksponenta .
6. fma(ab) :- To 'fma' pomeni stopljeno množimo in seštevamo . Računa (št*a)+b iz številk v argumentu. Brez zaokroževanja (št*a) poteka v tej funkciji.
Primer:
decimal.Decimal(5).fma(23) --> (5*2)+3 = 13
# Python code to demonstrate the working of # as_tuple() and fma() # importing 'decimal' module to use decimal functions import decimal # using as_tuple() to return decimal number as tuple a = decimal.Decimal(-4.5).as_tuple() # using fma() to compute fused multiply and addition b = decimal.Decimal(5).fma(23) # printing the tuple print ('The tuple form of decimal number is : 'end='') print (a) # printing the fused multiple and addition print ('The fused multiply and addition of decimal number is : 'end='') print (b)
Izhod:
The tuple form of decimal number is : DecimalTuple(sign=1 digits=(4 5) exponent=-1)
The fused multiply and addition of decimal number is : 13
7. primerjaj() :- Ta funkcija se uporablja za primerjavo decimalnih števil. Vrne 1, če je 1. decimalni argument večji od 2. -1, če je 1. decimalni argument manjši od 2. in 0, če sta oba enaka.
8. compare_total_mag() :- Primerja skupno velikost decimalnih števil. Vrne 1, če je 1. decimalni argument večji od 2. (ne upošteva predznaka) -1, če je 1. decimalni argument manjši od 2. (ne upošteva predznaka) in 0, če sta oba enaka (prezre predznak).
Python
# Python code to demonstrate the working of # compare() and compare_total_mag() # importing 'decimal' module to use decimal functions import decimal # Initializing decimal number a = decimal.Decimal(9.53) # Initializing decimal number b = decimal.Decimal(-9.56) # comparing decimal numbers using compare() print ('The result of comparison using compare() is : 'end='') print (a.compare(b)) # comparing decimal numbers using compare_total_mag() print ('The result of comparison using compare_total_mag() is : 'end='') print (a.compare_total_mag(b))
Izhod:
The result of comparison using compare() is : 1
The result of comparison using compare_total_mag() is : -1
9. copy_abs() :- Ta funkcija natisne absolutno vrednost decimalnega argumenta.
10. copy_negate() :- Ta funkcija natisne zanikanje decimalnega argumenta.
11. copy_sign() :- Ta funkcija natisne prvi argument s kopiranjem znaka iz 2. argumenta .
# Python code to demonstrate the working of # copy_abs()copy_sign() and copy_negate() # importing 'decimal' module to use decimal functions import decimal # Initializing decimal number a = decimal.Decimal(9.53) # Initializing decimal number b = decimal.Decimal(-9.56) # printing absolute value using copy_abs() print ('The absolute value using copy_abs() is : 'end='') print (b.copy_abs()) # printing negated value using copy_negate() print ('The negated value using copy_negate() is : 'end='') print (b.copy_negate()) # printing sign effected value using copy_sign() print ('The sign effected value using copy_sign() is : 'end='') print (a.copy_sign(b))
Izhod:
The absolute value using copy_abs() is : 9.5600000000000004973799150320701301097869873046875
The negated value using copy_negate() is : 9.5600000000000004973799150320701301097869873046875
The sign effected value using copy_sign() is : -9.5299999999999993605115378159098327159881591796875
12. max() :- Ta funkcija izračuna maksimum dveh decimalnih števil.
13. min() :- Ta funkcija izračuna najmanj dveh decimalnih števil.
# Python code to demonstrate the working of # min() and max() # importing 'decimal' module to use decimal functions import decimal # Initializing decimal number a = decimal.Decimal(9.53) # Initializing decimal number b = decimal.Decimal(7.43) # printing minimum of both values print ('The minimum of two numbers is : 'end='') print (a.min(b)) # printing maximum of both values print ('The maximum of two numbers is : 'end='') print (a.max(b))
Izhod:
The minimum of two numbers is : 7.429999999999999715782905696
The maximum of two numbers is : 9.529999999999999360511537816
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