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75d90d7228 |
47
docs/math.md
47
docs/math.md
@ -10,7 +10,7 @@ Same as in C++.
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| 1 | `%` `*` `/` |
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| 2 | `+` `-` |
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| 3 | bit shifts (NI) |
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| 4 | `<=>` (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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@ -18,7 +18,11 @@ Same as in C++.
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| 10 | `&&` |
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| 11<br/>lowest | `\|\|` |
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- (NI) stands for not yet implemented.
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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 override shuttle operator to make a class comparable.
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## Operators
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@ -43,22 +47,39 @@ or transformed `Real` otherwise.
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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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| | |
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| abs(x) | absolute value, Int for integer x, Real otherwise |
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| | |
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## Scientific functions
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## Mathematical functions
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| name | meaning |
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|---------------------|---------|
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| `sin(x:Real): Real` | sine |
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| | |
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| | |
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| | |
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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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sin(π/2)
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>>> 1.0
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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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>>> void
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## Scientific constant
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@ -16,6 +16,9 @@ fun naiveCountHappyNumbers() {
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count
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}
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//
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// After all optimizations it takes ~120ms.
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//
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val found = naiveCountHappyNumbers()
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println("Found happy numbers: "+found)
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assert( found == 55252 )
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assert( found == 55252 )
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@ -749,9 +749,9 @@ class Compiler(
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var result: Obj = ObjVoid
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val iVar = ObjInt(0)
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loopVar.value = iVar
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for( i in start ..< end) {
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iVar.value = i.toLong()
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if (catchBreak)
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if( catchBreak) {
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for (i in start..<end) {
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iVar.value = i.toLong()
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try {
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result = body.execute(forContext)
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} catch (lbe: LoopBreakContinueException) {
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@ -760,7 +760,10 @@ class Compiler(
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}
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return lbe.result
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}
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else {
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}
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} else {
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for (i in start.toLong()..<end.toLong()) {
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iVar.value = i
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result = body.execute(forContext)
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}
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}
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@ -1181,6 +1184,8 @@ class Compiler(
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Operator.simple(Token.Type.IS, lastPrty) { c, a, b -> ObjBool(a.isInstanceOf(b)) },
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Operator.simple(Token.Type.NOTIS, lastPrty) { c, a, b -> ObjBool(!a.isInstanceOf(b)) },
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// shuttle <=> 6
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Operator.simple(Token.Type.SHUTTLE, ++lastPrty) { c, a, b ->
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ObjInt(a.compareTo(c, b).toLong()) },
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// bit shifts 7
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Operator.simple(Token.Type.PLUS, ++lastPrty) { ctx, a, b -> a.plus(ctx, b) },
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Operator.simple(Token.Type.MINUS, lastPrty) { ctx, a, b -> a.minus(ctx, b) },
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@ -153,7 +153,13 @@ private class Parser(fromPos: Pos) {
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'<' -> {
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if (currentChar == '=') {
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pos.advance()
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Token("<=", from, Token.Type.LTE)
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if( currentChar == '>' ) {
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pos.advance()
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Token("<=>", from, Token.Type.SHUTTLE)
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}
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else {
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Token("<=", from, Token.Type.LTE)
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}
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} else
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Token("<", from, Token.Type.LT)
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}
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@ -43,9 +43,75 @@ class Script(
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(if (x is ObjInt) x
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else ObjReal(round(x.toDouble())))
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}
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addFn("sin") {
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ObjReal(sin(args.firstAndOnly().toDouble()))
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}
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addFn("cos") {
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ObjReal(cos(args.firstAndOnly().toDouble()))
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}
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addFn("tan") {
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ObjReal(tan(args.firstAndOnly().toDouble()))
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}
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addFn("asin") {
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ObjReal(asin(args.firstAndOnly().toDouble()))
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}
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addFn("acos") {
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ObjReal(acos(args.firstAndOnly().toDouble()))
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}
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addFn("atan") {
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ObjReal(atan(args.firstAndOnly().toDouble()))
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}
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addFn("sinh") {
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ObjReal(sinh(args.firstAndOnly().toDouble()))
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}
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addFn("cosh") {
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ObjReal(cosh(args.firstAndOnly().toDouble()))
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}
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addFn("tanh") {
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ObjReal(tanh(args.firstAndOnly().toDouble()))
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}
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addFn("asinh") {
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ObjReal(asinh(args.firstAndOnly().toDouble()))
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}
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addFn("acosh") {
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ObjReal(acosh(args.firstAndOnly().toDouble()))
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}
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addFn("atanh") {
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ObjReal(atanh(args.firstAndOnly().toDouble()))
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}
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addFn("exp") {
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ObjReal(exp(args.firstAndOnly().toDouble()))
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}
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addFn("ln") {
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ObjReal(ln(args.firstAndOnly().toDouble()))
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}
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addFn("log10") {
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ObjReal(log10(args.firstAndOnly().toDouble()))
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}
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addFn("log2") {
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ObjReal(log2(args.firstAndOnly().toDouble()))
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}
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addFn("pow") {
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requireExactCount(2)
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ObjReal(
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(args[0].toDouble()).pow(args[1].toDouble())
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)
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}
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addFn("sqrt") {
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ObjReal(
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sqrt(args.firstAndOnly().toDouble())
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)
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}
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addFn( "abs" ) {
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val x = args.firstAndOnly()
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if( x is ObjInt ) ObjInt( x.value.absoluteValue ) else ObjReal( x.toDouble().absoluteValue )
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}
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addVoidFn("assert") {
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val cond = requiredArg<ObjBool>(0)
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@ -13,6 +13,7 @@ data class Token(val value: String, val pos: Pos, val type: Type) {
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PLUS2, MINUS2,
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IN, NOTIN, IS, NOTIS,
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EQ, NEQ, LT, LTE, GT, GTE, REF_EQ, REF_NEQ,
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SHUTTLE,
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AND, BITAND, OR, BITOR, NOT, BITNOT, DOT, ARROW, QUESTION, COLONCOLON,
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SINLGE_LINE_COMMENT, MULTILINE_COMMENT,
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LABEL, ATLABEL, // label@ at@label
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@ -1192,6 +1192,52 @@ class ScriptTest {
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fna(5,6)
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"""
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)
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}
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@Test
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fun testSpoilLamdaArgsBug() = runTest {
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eval(
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"""
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val fnb = { a,b -> a + b }
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val fna = { a, b ->
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val a0 = a
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val b0 = b
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fnb(a + 1, b + 1)
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assert( a0 == a )
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assert( b0 == b )
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}
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fna(5,6)
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"""
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)
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}
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@Test
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fun commentBlocksShouldNotAlterBehavior() = runTest {
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eval(
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"""
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fun test() {
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10
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/*
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*/
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//val x = 11
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}
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assert( test() == 10 )
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""".trimIndent()
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)
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}
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@Test
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fun testShuttle() = runTest {
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eval(
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"""
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assert( 5 <=> 3 > 0 )
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assert( 0 < 5 <=> 3 )
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assert( 5 <=> 5 == 0 )
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assert( 5 <=> 7 < 0 )
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""".trimIndent()
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)
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}
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}
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@ -14,13 +14,12 @@ suspend fun executeSampleTests(fileName: String) {
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}
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runBlocking {
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val c = Context()
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for( i in 1..1) {
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val start = Clock.System.now()
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c.eval(sample)
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val time = Clock.System.now() - start
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println("$time: $fileName")
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// delay(100)
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}
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// }
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}
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}
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