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math and docs

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This commit is contained in:
Sergey Chernov 2025-06-04 09:02:08 +04:00
parent 75d90d7228
commit aba122c3e6
2 changed files with 100 additions and 13 deletions
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47
docs/math.md
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@ -10,7 +10,7 @@ Same as in C++.
| 1 | `%` `*` `/` |
| 2 | `+` `-` |
| 3 | bit shifts (NI) |
| 4 | `<=>` (NI) |
| 4 | `<=>` (1) |
| 5 | `<=` `>=` `<` `>` |
| 6 | `==` `!=` |
| 7 | bitwise and `&` (NI) |
@ -18,7 +18,11 @@ Same as in C++.
| 10 | `&&` |
| 11<br/>lowest | `\|\|` |
- (NI) stands for not yet implemented.
(NI)
: not yet implemented.
(1)
: Shuttle operator: `a <=> b` returns 0 if a == b, negative Int if a < b and positive Int otherwise. It is necessary to override shuttle operator to make a class comparable.
## Operators
@ -43,22 +47,39 @@ or transformed `Real` otherwise.
| floor(x) | Computes the largest integer value not greater than x |
| ceil(x) | Computes the least integer value value not less than x |
| round(x) | Rounds x |
| | |
| abs(x) | absolute value, Int for integer x, Real otherwise |
| | |
## Scientific functions
## Mathematical functions
| name | meaning |
|---------------------|---------|
| `sin(x:Real): Real` | sine |
| | |
| | |
| | |
| name | meaning |
|-----------|------------------------------------------------------|
| sin(x) | sine |
| cos(x) | cosine |
| tan(x) | tangent |
| asin(x) | $sin^-1(x)$ |
| acos(x) | $cos^-1(x)$ |
| atan(x) | $tg^-1(x)$ |
| sinh(x) | hyperbolic sine |
| cosh(x) | hyperbolic cosine |
| tanh(x) | hyperbolic tangent |
| asinh(x) | $sinh^-1(x)$ |
| acosh(x) | $cosh^-1(x)$ |
| atanh(x) | $tgh^-1(x)$ |
| ln(x) | $ln(x)$, $ log_e(x) $ |
| exp(x) | $e^x$ |
| log10(x) | $log_{10}(x)$ |
| pow(x, y) | ${x^y}$ |
| sqrt(x) | $ \sqrt {x}$ |
| abs(x) | absolute value of x. Int if x is Int, Real otherwise |
For example:
sin(π/2)
>>> 1.0
For example:
assert( sin(π/2) == 1.0)
assert( cos(π/2) < 0.000001)
assert( abs(ln(exp(1))) - 1 < 0.00001)
>>> void
## Scientific constant

66
library/src/commonMain/kotlin/net/sergeych/lyng/Script.kt
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@ -43,9 +43,75 @@ class Script(
(if (x is ObjInt) x
else ObjReal(round(x.toDouble())))
}
addFn("sin") {
ObjReal(sin(args.firstAndOnly().toDouble()))
}
addFn("cos") {
ObjReal(cos(args.firstAndOnly().toDouble()))
}
addFn("tan") {
ObjReal(tan(args.firstAndOnly().toDouble()))
}
addFn("asin") {
ObjReal(asin(args.firstAndOnly().toDouble()))
}
addFn("acos") {
ObjReal(acos(args.firstAndOnly().toDouble()))
}
addFn("atan") {
ObjReal(atan(args.firstAndOnly().toDouble()))
}
addFn("sinh") {
ObjReal(sinh(args.firstAndOnly().toDouble()))
}
addFn("cosh") {
ObjReal(cosh(args.firstAndOnly().toDouble()))
}
addFn("tanh") {
ObjReal(tanh(args.firstAndOnly().toDouble()))
}
addFn("asinh") {
ObjReal(asinh(args.firstAndOnly().toDouble()))
}
addFn("acosh") {
ObjReal(acosh(args.firstAndOnly().toDouble()))
}
addFn("atanh") {
ObjReal(atanh(args.firstAndOnly().toDouble()))
}
addFn("exp") {
ObjReal(exp(args.firstAndOnly().toDouble()))
}
addFn("ln") {
ObjReal(ln(args.firstAndOnly().toDouble()))
}
addFn("log10") {
ObjReal(log10(args.firstAndOnly().toDouble()))
}
addFn("log2") {
ObjReal(log2(args.firstAndOnly().toDouble()))
}
addFn("pow") {
requireExactCount(2)
ObjReal(
(args[0].toDouble()).pow(args[1].toDouble())
)
}
addFn("sqrt") {
ObjReal(
sqrt(args.firstAndOnly().toDouble())
)
}
addFn( "abs" ) {
val x = args.firstAndOnly()
if( x is ObjInt ) ObjInt( x.value.absoluteValue ) else ObjReal( x.toDouble().absoluteValue )
}
addVoidFn("assert") {
val cond = requiredArg<ObjBool>(0)