95 lines
3.6 KiB
Markdown
95 lines
3.6 KiB
Markdown
# Operators
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## Precedence
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Same as in C++.
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| Priority | Operations |
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|:----------------:|--------------------------------------|
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| **Highest**<br>0 | power, not, calls, indexing, dot,... |
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| 1 | `%` `*` `/` |
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| 2 | `+` `-` |
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| 3 | bit shifts (NI) |
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| 4 | `<=>` (1) |
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| 5 | `<=` `>=` `<` `>` |
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| 6 | `==` `!=` |
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| 7 | bitwise and `&` (NI) |
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| 9 | bitwise or `\|` (NI) |
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| 10 | `&&` |
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| 11<br/>lowest | `\|\|` |
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(NI)
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: not yet implemented.
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(1)
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: Shuttle operator: `a <=> b` returns 0 if a == b, negative Int if a < b and positive Int otherwise. It is necessary to
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override shuttle operator to make a class comparable.
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## Operators
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`+ - * / % `: if both operand is `Int`, calculates as int. Otherwise, as real:
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// integer division:
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3 / 2
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>>> 1
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but:
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3 / 2.0
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>>> 1.5
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## Round and range
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The following functions return its argument if it is `Int`,
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or transformed `Real` otherwise.
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| name | description |
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|----------------|--------------------------------------------------------|
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| floor(x) | Computes the largest integer value not greater than x |
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| ceil(x) | Computes the least integer value value not less than x |
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| round(x) | Rounds x |
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| x.roundToInt() | shortcut to `round(x).toInt()` |
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## Lyng math functions
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| name | meaning |
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|-----------|------------------------------------------------------|
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| sin(x) | sine |
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| cos(x) | cosine |
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| tan(x) | tangent |
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| asin(x) | $sin^{-1}(x)$ |
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| acos(x) | $cos^{-1}(x)$ |
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| atan(x) | $tg^{-1}(x)$ |
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| sinh(x) | hyperbolic sine |
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| cosh(x) | hyperbolic cosine |
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| tanh(x) | hyperbolic tangent |
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| asinh(x) | $sinh^{-1}(x)$ |
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| acosh(x) | $cosh^{-1}(x)$ |
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| atanh(x) | $tgh^{-1}(x)$ |
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| ln(x) | $ln(x)$, $ log_e(x) $ |
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| exp(x) | $e^x$ |
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| log10(x) | $log_{10}(x)$ |
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| pow(x, y) | ${x^y}$ |
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| sqrt(x) | $ \sqrt {x}$ |
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| abs(x) | absolute value of x. Int if x is Int, Real otherwise |
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For example:
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assert( sin(π/2) == 1.0)
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assert( cos(π/2) < 0.000001)
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assert( abs(ln(exp(1))) - 1 < 0.00001)
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// abs() keeps the argument type:
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assert( abs(-1) is Int)
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assert( abs(-2.21) == 2.21 )
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>>> void
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## Scientific constant
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| name | meaning |
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|----------------------|--------------|
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| `Math.PI: Real` or π | 3.1415926... |
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