朱莉娅的运算符
Julia 中的运算符是用于对变量和值执行运算的数学符号。这些符号用于执行算术和逻辑计算。运算符对其执行操作的变量称为操作数。换句话说,我们可以说运算符对操作数进行操作。
例如,考虑以下语句:
c = a + b;
这里,“+”是称为加法运算符的运算符符,“a”和“b”是操作数。加法运算符告诉编译器将两个操作数“a”和“b”相加。
运算符类型
Julia 中的运算符有六种类型:
- 算术运算符
- 位运算符
- 逻辑运算符
- 赋值运算符
- 矢量化“点”运算符
- 关系运算符
算术运算符
算术运算运算符用于对操作数执行算术/数学运算。这些运算符包括加法、减法、乘法、除法等过程。示例: (+、-、、/、%、+x、-x)。
算术运算运算符有两种类型:
- 一元运算符:操作或使用单个操作数的运算符是一元运算运算符。例如: (+x, -x) 即一元加号和一元减号。
- 二元运算符:操作或使用两个操作数的运算符是二元运算符。例如:(+、-、*、/)
Operator | Description | Syntax |
---|---|---|
+(unary plus) | Unary plus: Identity operation | +x |
-(unary minus) | Unary minus: Performs negation on operand | -x |
+ | Binary plus: adds two operands | x + y |
– | Binary minus: subtracts two operands | x – y |
* | Multiplication(times): multiplies two operands | x * y |
/ | Division (float): divides the first operand by the second and returns float value | x / y |
÷ | Division (Integer): divides the first operand by the second and returns integer value | x ÷ y |
\ | Division (Inverse): divides the second operand by the first(y/x) | x \ y |
^ | Power: Raises x to the yth power | x ^ y |
% | Modulus: returns the remainder when first operand is divided by the second | x % y |
! | Negation: Changes bool value i.e. from true to false and vice versa | x % y |
# Examples of Arithmetic Operator
a = 9
b = 4
println("a = ", a)
println("b = ", b)
# Addition of numbers
add = a + b
println("Binary Addition: ", add)
# Subtraction of numbers
sub = a - b
println("Binary Subtraction: ", sub)
# Multiplication of number
mul = a * b
println("Binary Multiplication: ", mul)
# Division(float) of number
div1 = a / b
println("Binary Division: ", div1)
# Division(Integer) of number
div2 = a ÷ b
println("Integer Division: ", div2)
# Division(floor) of number
div3 = a \ b
println("Inverse Division: ", div3)
# Power of number
pow = a ^ b
println("Power Operation: ", pow)
# Modulo of both number
mod = a % b
println("Modular Division: ", mod)
输出:
a = 9
b = 4
Binary Addition: 13
Binary Subtraction: 5
Binary Multiplication: 36
Binary Division: 2.25
Integer Division: 2
Inverse Division: 0.4444444444444444
Power Operation: 6561
Modular Division: 1
位运算符
位运算符用于执行数字的各个位的操作。它们可以与任何整数类型一起使用。示例:(~, &, |, >>,
Operator | Description | Syntax |
---|---|---|
~ | Bitwise NOT | ~x |
& | Bitwise AND | x & y |
| | Bitwise OR | x | y |
⊻ | Bitwise XOR | x ⊻ y |
>>> | Logical right shift | x >>> y |
>> | Bitwise right shift | x >> y |
<< | Bitwise/Logical left shift | x << y |
# Examples of Bitwise operators
a = 48
b = 67
# Bitwise NOT operation
println(~a)
# Bitwise AND operation
println(a & b)
# Bitwise OR operation
println(a | b)
# Bitwise XOR operation
println(a ? b)
# Logical right shift operation
println(a >>> 2)
# Bitwise right shift operation
println(a >> 2)
# Bitwise left shift operation
println(a << 2)
输出:
-49
0
115
115
12
12
192
逻辑运算符
逻辑运算符用于组合两个或多个条件/约束或补充考虑的原始条件的评估。逻辑运算符的运算结果是一个布尔值,真或假。例如,当两个条件都满足时,Julia 中表示为“&&”运算符的逻辑 AND 返回 true。否则,它返回 false。因此,当 a 和 b 都为真(即非零)时,a && b 返回真。
Operator | Description | Syntax |
---|---|---|
&& | Logical AND: True if both the operands are true | x && y |
|| | Logical OR: True if either of the operands is true | x || y |
! | Logical NOT: True if operand is false | !x |
# Examples of Logical Operator
a = true
b = false
# Print if a and b both are False
println(a && b)
# Print if a or b is True
println(a || b)
# Print if not a is False
println(! a)
输出:
false
true
false
赋值运算符
赋值运算符用于为变量赋值。赋值运算符的左侧操作数是一个变量,而赋值运算符符的右侧操作数是一个值。右侧的值必须与左侧变量的数据类型相同,否则编译器将引发错误。
Operator | Description | Syntax | |||
---|---|---|---|---|---|
= | Assign value of right side of expression to left side operand | x = y + z | |||
+= | Add AND: Add right side operand with left side operand and then assign to left operand | a += b a = a + b | |||
-= | Subtract AND: Subtract right operand from left operand and then assign to left operand | a -= b a = a – b | |||
*= | Multiply AND: Multiply right operand with left operand and then assign to left operand | a *= b a = a * b | |||
/= | Divide AND: Divide left operand with right operand and then assign to left operand | a /= b a = a / b | |||
\= | Inverse Divide AND: Divide right operand with left operand and then assign to left operand | a \= b a = a \ b | |||
÷= | Integer Divide AND: Divide left operand with right operand and then assign to left operand | a ÷= b a = a ÷ b | |||
%= | Modulus AND: Takes modulus using left and right operands and assign result to left operand | a %= b a = a % b | |||
^= | Exponent AND: Calculate exponent(raise power) value using operands and assign value to left operand | a ^= b a = a ^ b | |||
&= | Performs Bitwise AND on operands and assign value to left operand | a &= b a = a & b | |||
|= | Performs Bitwise OR on operands and assign value to left operand | a |= b a = a | b | |||
⊻= | Performs Bitwise xOR on operands and assign value to left operand | a ⊻= b a = a ⊻ b | |||
>>>= | Performs Logical right shift on operands and assign value to left operand | a>>>=b a=a>>>b | >>= | Performs Bitwise right shift on operands and assign value to left operand | a >>= b a = a >> b |
<<= | Performs Bitwise left shift on operands and assign value to left operand | a <<= b a = a << b |
# Examples of Assignment Operator
a = 9
b = 4
println("a = ", a)
println("b = ", b)
# Addition of numbers
a += b
println("Binary Addition: ", a)
# Subtraction of numbers
a -= b
println("Binary Subtraction: ", a)
# Multiplication of number
a *= b
println("Binary Multiplication: ", a)
# Division(float) of number
a /= b
println("Binary Division: ", a)
# Division(Integer) of number
a ÷= b
println("Integer Division: ", a)
# Division(floor) of number
a \= b
println("Inverse Division: ", a)
# Power of number
a ^= b
println("Power Operation: ", a)
# Modulo of both number
a %= b
println("Modular Division: ", a)
输出
a = 9
b = 4
Binary Addition: 13
Binary Subtraction: 9
Binary Multiplication: 36
Binary Division: 9.0
Integer Division: 2.0
Inverse Division: 2.0
Power Operation: 16.0
Modular Division: 0.0
矢量化“点”运算符
“点”运算符(.) 用于执行二元运算,用于对整个数组逐个元素、逐个元素地使用它。例如,如果将幂 (^)运算符应用于 [4, 5, 6, 7] ^ 2 之类的数组,将导致错误,因为无法对数组执行“平方”。因此,“点”运算符开始使用。当与像.^这样的二进制操作一起使用时,它将对数组的每个元素执行操作。例如- [4, 5, 6, 7] ^ 2 将导致 [4^2, 5^2, 6^2, 7^2]。
同样,此点运算符可以与其他二元运算符一起使用,例如 .=、.+、.- 等。
例子:
# Julia program to illustrate
# use of 'dot' operator
# Creating array
A = [4, 5, 6, 7]
# Performing exponent binary operation
A = A ^ 2
# Performing exponent using 'dot' operation
A = A .^ 2
println(A)
当在没有“点”运算符的情况下执行指数时,上面的代码将产生错误。这是因为不能对元素数组执行指数。
关系运算符
这些运算符用于检查相等、大于、小于等关系。它们在比较后返回布尔结果,并广泛用于循环语句以及条件 if-else 语句。
Operator | Description | Syntax |
---|---|---|
> | Greater than: True if left operand is greater than the right | x > y |
< | Less than: True if left operand is less than the right | x < y |
== | Equal to: True if both operands are equal | x == y |
!=, ≠ | Not equal to – True if operands are not equal | x != y or x ≠ y |
>=, ≥ | Greater than or equal to: True if left operand is greater than or equal to the right | x >= y or x ≥ y |
<=, ≤ | Less than or equal to: True if left operand is less than or equal to the right | x <= y or x ≤ y |
例子:
# Examples of Relational Operators
a = 13
b = 33
# a > b is False
println(a > b)
# a < b is True
println(a < b)
# a == b is False
println(a == b)
# a != b is True
println(a != b)
# a >= b is False
println(a >= b)
# a <= b is True
println(a <= b)
输出:
false
true
false
true
false
true