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Common math tests and document for trigonometric functions and powers.

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#KT-4900
This commit is contained in:
Ilya Gorbunov
2017-07-20 21:21:56 +03:00
parent a375bafa21
commit 5e9e6d5951
3 changed files with 700 additions and 100 deletions
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js/js.libraries/src/core/kotlin.math.kt
+245 -30
View File
@@ -17,6 +17,7 @@
package kotlin.math
import kotlin.internal.InlineOnly
import kotlin.js.Math as nativeMath
// constants, can't use them from nativeMath as they are not constants there
@@ -28,36 +29,243 @@ public const val E: Double = 2.718281828459045
// Double
inline fun sin(a: Double): Double = nativeMath.sin(a)
inline fun cos(a: Double): Double = nativeMath.cos(a)
inline fun tan(a: Double): Double = nativeMath.tan(a)
/** Computes the sine of the angle [a] given in radians.
*
* Special cases:
*
* - `sin(NaN|+Inf|-Inf)` is `NaN`
*/
@InlineOnly
public inline fun sin(a: Double): Double = nativeMath.sin(a)
inline fun asin(a: Double): Double = nativeMath.asin(a)
inline fun acos(a: Double): Double = nativeMath.acos(a)
inline fun atan(a: Double): Double = nativeMath.atan(a)
inline fun atan2(y: Double, x: Double): Double = nativeMath.atan2(y, x)
/** Computes the cosine of the angle [a] given in radians.
*
* Special cases:
*
* - `cos(NaN|+Inf|-Inf)` is `NaN`
*/
@InlineOnly
public inline fun cos(a: Double): Double = nativeMath.cos(a)
// TODO: Polyfill
/*
inline fun sinh(a: Double): Double = nativeMath.sinh(a)
inline fun cosh(a: Double): Double = nativeMath.cosh(a)
inline fun tanh(a: Double): Double = nativeMath.tanh(a)
/** Computes the tangent of the angle [a] given in radians.
*
* Special cases:
*
* - `tan(NaN|+Inf|-Inf)` is `NaN`
*/
@InlineOnly
public inline fun tan(a: Double): Double = nativeMath.tan(a)
inline fun hypot(x: Double, y: Double): Double = nativeMath.hypot(x, y)
*/
/**
* Computes the arc sine of the value [a];
* the returned value is an angle in the range from `-PI/2` to `PI/2` radians.
*
* Special cases:
* - `asin(v)` is `NaN`, when `abs(v) > 1` or v is `NaN`
*/
@InlineOnly
public inline fun asin(a: Double): Double = nativeMath.asin(a)
inline fun pow(a: Double, b: Double): Double = nativeMath.pow(a, b)
inline fun pow(a: Double, b: Int): Double = nativeMath.pow(a, b.toDouble())
/**
* Computes the arc cosine of the value [a];
* the returned value is an angle in the range from `0.0` to `PI` radians.
*
* Special cases:
* - `acos(v)` is `NaN`, when `abs(v) > 1` or v is `NaN`
*/
@InlineOnly
public inline fun acos(a: Double): Double = nativeMath.acos(a)
inline fun sqrt(a: Double): Double = nativeMath.sqrt(a)
/**
* Computes the arc tangent of the value [a];
* the returned value is an angle in the range from `-PI/2` to `PI/2` radians.
*
* Special cases:
* - `atan(NaN)` is `NaN`
*/
@InlineOnly
public inline fun atan(a: Double): Double = nativeMath.atan(a)
inline fun exp(a: Double): Double = nativeMath.exp(a)
// inline fun expm1(a: Double): Double = nativeMath.expm1(a) // polyfill
/**
* Returns the angle `theta` of the polar coordinates `(r, theta)` that correspond
* to the rectangular coordinates `(x, y)` by computing the arc tangent of the value [y] / [x];
* the returned value is an angle in the range from `-PI` to `PI` radians.
*
* Special cases:
* - `atan2(0.0, 0.0)` is `0.0`
* - `atan2(0.0, x)` is `0.0` for `x > 0` and `PI` for `x < 0`
* - `atan2(-0.0, x)` is `-0.0` for 'x > 0` and `-PI` for `x < 0`
* - `atan2(y, +Inf)` is `0.0` for `0 < y < +Inf` and `-0.0` for '-Inf < y < 0`
* - `atan2(y, -Inf)` is `PI` for `0 < y < +Inf` and `-PI` for `-Inf < y < 0`
* - `atan2(y, 0.0)` is `PI/2` for `y > 0` and `-PI/2` for `y < 0`
* - `atan2(+Inf, x)` is `PI/2` for finite `x`y
* - `atan2(-Inf, x)` is `-PI/2` for finite `x`
* - `atan2(NaN, x)` and `atan2(y, NaN)` is `NaN`
*/
@InlineOnly
public inline fun atan2(y: Double, x: Double): Double = nativeMath.atan2(y, x)
/**
* Computes the hyperbolic sine of the value [a].
*
* Special cases:
*
* - `sinh(NaN)` is `NaN`
* - `sinh(+Inf)` is `+Inf`
* - `sinh(-Inf)` is `-Inf`
*/
@InlineOnly
public inline fun sinh(a: Double): Double = nativeMath.sinh(a)
/**
* Computes the hyperbolic cosine of the value [a].
*
* Special cases:
*
* - `cosh(NaN)` is `NaN`
* - `cosh(+Inf|-Inf)` is `+Inf`
*/
@InlineOnly
public inline fun cosh(a: Double): Double = nativeMath.cosh(a)
/**
* Computes the hyperbolic tangent of the value [a].
*
* Special cases:
*
* - `tanh(NaN)` is `NaN`
* - `tanh(+Inf)` is `1.0`
* - `tanh(-Inf)` is `-1.0`
*/
@InlineOnly
public inline fun tanh(a: Double): Double = nativeMath.tanh(a)
/**
* Computes `sqrt(x^2 + y^2)` without intermediate overflow or underflow.
*
* Special cases:
* - returns `+Inf` if any of arguments is infinite
* - returns `NaN` if any of arguments is `NaN` and the other is not infinite
*/
@InlineOnly
public inline fun hypot(x: Double, y: Double): Double = nativeMath.hypot(x, y)
/**
* Raises the first argument [a] to the power of the second argument [b].
*
* Special cases:
* - `pow(x, 0.0)` is `1.0`
* - `pow(x, 1.0) == x`
* - `pow(x, NaN)` is `NaN`
* - `pow(NaN, x)` is `NaN` for `x != 0.0`
* - `pow(x, Inf)` is `NaN` for `abs(x) == 1.0`
* - `pow(x, y)` is `NaN` for `x < 0` and `y` is finite and not an integer
*/
@InlineOnly
public inline fun pow(a: Double, b: Double): Double = nativeMath.pow(a, b)
/**
* Raises the first argument [a] to the integer power of the second argument [b].
*
* See the other overload of [pow] for details.
*/
@InlineOnly
public inline fun pow(a: Double, b: Int): Double = nativeMath.pow(a, b.toDouble())
/**
* Computes the positive square root of the value [a].
*
* Special cases:
* - `sqrt(x)` is `NaN` when `x < 0` or `x` is `NaN`
*/
@InlineOnly
public inline fun sqrt(a: Double): Double = nativeMath.sqrt(a)
/**
* Computes Euler's number `e` raised to the power of the value [a].
*
* Special cases:
* - `exp(NaN)` is `NaN`
* - `exp(+Inf)` is `+Inf`
* - `exp(-Inf)` is `0.0`
*/
@InlineOnly
public inline fun exp(a: Double): Double = nativeMath.exp(a)
/**
* Computes `exp(a) - 1`.
*
* This function can be implemented to produce more precise result for [a] near zero.
*
* Special cases:
* - `expm1(NaN)` is `NaN`
* - `expm1(+Inf)` is `+Inf`
* - `expm1(-Inf)` is `-1.0`
*
* @see [exp] function.
*/
@InlineOnly
public inline fun expm1(a: Double): Double = nativeMath.expm1(a)
/**
* Computes the logarithm in the given [base] of the [a] value.
*
* Special cases:
* - `log(a, b)` is `NaN` if either `a` or `b` are `NaN`
* - `log(a, b)` is `NaN` when `a < 0` or `b <= 0` or `b == 1.0`
* - `log(+Inf, +Inf)` is `NaN`
* - `log(+Inf, b)` is `+Inf` for `b > 1` and `-Inf` for `b < 1`
* - `log(0.0, b)` is `-Inf` for `b > 1` and `+Inf` for `b > 1`
*/
public fun log(a: Double, base: Double): Double {
if (base <= 0.0 || base == 1.0) return Double.NaN
return nativeMath.log(a) / nativeMath.log(base)
}
/**
* Computes the natural logarithm (base `E`) of the [a] value.
*
* Special cases:
* - `log(NaN)` is `NaN`
* - `log(x)` is `NaN` when `x < 0.0`
* - `log(+Inf)` is `+Inf`
* - `log(0.0)` is `-Inf`
*/
@InlineOnly
public inline fun log(a: Double): Double = nativeMath.log(a)
/**
* Computes the decimal logarithm (base 10) of the [a] value.
*
* @see [log] function for special cases.
*/
@InlineOnly
public inline fun log10(a: Double): Double = nativeMath.log10(a)
/**
* Computes the binary logarithm (base 2) of the [a] value.
*
* @see [log] function for special cases.
*/
@InlineOnly
public inline fun log2(a: Double): Double = nativeMath.log2(a)
/**
* Computes `log(a + 1)`.
*
* This function can be implemented to produce more precise result for [a] near zero.
*
* Special cases:
* - `log1p(NaN)` is `NaN`
* - `log1p(x)` is `NaN` where `x < -1.0`
* - `log1p(-1.0)` is `-Inf`
* - `log1p(+Inf)` is `+Inf`
*
* @see [log] function.
*/
@InlineOnly
public inline fun log1p(a: Double): Double = nativeMath.log1p(a)
inline fun log(a: Double): Double = nativeMath.log(a)
fun log(a: Double, base: Double): Double = nativeMath.log(a) / nativeMath.log(base)
//inline fun log10(a: Double): Double = nativeMath.log10(a) // polyfill
//inline fun log1p(a: Double): Double = nativeMath.log1p(a) // polyfill
inline fun ceil(a: Double): Double = nativeMath.ceil(a).unsafeCast<Double>() // TODO: Remove unsafe cast after removing public js.math
inline fun floor(a: Double): Double = nativeMath.floor(a).unsafeCast<Double>()
@@ -67,9 +275,20 @@ inline fun truncate(a: Double): Double = nativeMath.trunc(a) // polyfill
inline fun abs(a: Double): Double = nativeMath.abs(a)
// also as extension val [sign]
inline fun sgn(a: Double): Double = nativeMath.sign(a)
inline fun min(a: Double, b: Double): Double = nativeMath.min(a, b)
inline fun max(a: Double, b: Double): Double = nativeMath.max(a, b)
/**
* Returns the smaller of two values.
*
* If either value is `NaN`, then the result is `NaN`.
*/
@InlineOnly
public inline fun min(a: Double, b: Double): Double = nativeMath.min(a, b)
/**
* Returns the greater of two values.
*
* If either value is `NaN`, then the result is `NaN`.
*/
@InlineOnly
public inline fun max(a: Double, b: Double): Double = nativeMath.max(a, b)
// extensions
@@ -82,7 +301,6 @@ inline val Double.sign: Double get() = nativeMath.sign(this)
// TODO: Reimplement here
fun Double.withSign(sign: Double): Double = this.absoluteValue * sign.sign
inline fun Double.withSign(sign: Int): Double = this.withSign(sign.toDouble())
//inline fun Double.adjustExponent(scaleFactor: Int): Double = nativeMath.scalb(this, scaleFactor)
fun Double.roundToLong(): Long = if (isNaN()) throw IllegalArgumentException("Cannot round NaN value.") else nativeMath.round(this).unsafeCast<Double>().toLong()
@@ -101,13 +319,10 @@ inline fun min(a: Float, b: Float): Float = nativeMath.min(a, b)
inline val Float.absoluteValue: Float get() = nativeMath.abs(this.toDouble()).toFloat()
inline val Float.sign: Float get() = nativeMath.sign(this.toDouble()).toFloat()
//inline val Float.exponent: Int get() = nativeMath.getExponent(this)
// TODO: Reimplement
inline fun Float.withSign(sign: Float): Float = this.toDouble().withSign(sign.toDouble()).toFloat()
inline fun Float.withSign(sign: Int): Float = this.toDouble().withSign(sign.toDouble()).toFloat()
//inline fun Float.adjustExponent(scaleFactor: Int): Float = nativeMath.scalb(this, scaleFactor)
//fun Float.withExponent(exponent: Int): Float = nativeMath.scalb(this, exponent - this.exponent)
fun Float.roundToInt(): Int = if (isNaN()) throw IllegalArgumentException("Cannot round NaN value.") else nativeMath.round(this)
libraries/stdlib/src/kotlin/util/MathJVM.kt
+299 -70
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@@ -19,129 +19,358 @@
package kotlin.math
import kotlin.internal.InlineOnly
import java.lang.Math as nativeMath
// constants
/** Ratio of the circumference of a circle to its diameter, approximately 3.14159. */
const val PI: Double = nativeMath.PI
public const val PI: Double = nativeMath.PI
/** Base of the natural logarithms, approximately 2.71828. */
const val E: Double = nativeMath.E
public const val E: Double = nativeMath.E
/** Natural logarithm of 2.0, used to compute [log2] function */
private val LN2: Double = log(2.0)
// Double
inline fun sin(a: Double): Double = nativeMath.sin(a)
inline fun cos(a: Double): Double = nativeMath.cos(a)
inline fun tan(a: Double): Double = nativeMath.tan(a)
/** Computes the sine of the angle [a] given in radians.
*
* Special cases:
*
* - `sin(NaN|+Inf|-Inf)` is `NaN`
*/
@InlineOnly
public inline fun sin(a: Double): Double = nativeMath.sin(a)
inline fun asin(a: Double): Double = nativeMath.asin(a)
inline fun acos(a: Double): Double = nativeMath.acos(a)
inline fun atan(a: Double): Double = nativeMath.atan(a)
inline fun atan2(y: Double, x: Double): Double = nativeMath.atan2(y, x)
/** Computes the cosine of the angle [a] given in radians.
*
* Special cases:
*
* - `cos(NaN|+Inf|-Inf)` is `NaN`
*/
@InlineOnly
public inline fun cos(a: Double): Double = nativeMath.cos(a)
inline fun sinh(a: Double): Double = nativeMath.sinh(a)
inline fun cosh(a: Double): Double = nativeMath.cosh(a)
inline fun tanh(a: Double): Double = nativeMath.tanh(a)
/** Computes the tangent of the angle [a] given in radians.
*
* Special cases:
*
* - `tan(NaN|+Inf|-Inf)` is `NaN`
*/
@InlineOnly
public inline fun tan(a: Double): Double = nativeMath.tan(a)
inline fun hypot(x: Double, y: Double): Double = nativeMath.hypot(x, y)
/**
* Computes the arc sine of the value [a];
* the returned value is an angle in the range from `-PI/2` to `PI/2` radians.
*
* Special cases:
* - `asin(v)` is `NaN`, when `abs(v) > 1` or v is `NaN`
*/
@InlineOnly
public inline fun asin(a: Double): Double = nativeMath.asin(a)
inline fun pow(a: Double, b: Double): Double = nativeMath.pow(a, b)
inline fun pow(a: Double, b: Int): Double = nativeMath.pow(a, b.toDouble())
/**
* Computes the arc cosine of the value [a];
* the returned value is an angle in the range from `0.0` to `PI` radians.
*
* Special cases:
* - `acos(v)` is `NaN`, when `abs(v) > 1` or v is `NaN`
*/
@InlineOnly
public inline fun acos(a: Double): Double = nativeMath.acos(a)
inline fun sqrt(a: Double): Double = nativeMath.sqrt(a)
/**
* Computes the arc tangent of the value [a];
* the returned value is an angle in the range from `-PI/2` to `PI/2` radians.
*
* Special cases:
* - `atan(NaN)` is `NaN`
*/
@InlineOnly
public inline fun atan(a: Double): Double = nativeMath.atan(a)
inline fun exp(a: Double): Double = nativeMath.exp(a)
inline fun expm1(a: Double): Double = nativeMath.expm1(a)
/**
* Returns the angle `theta` of the polar coordinates `(r, theta)` that correspond
* to the rectangular coordinates `(x, y)` by computing the arc tangent of the value [y] / [x];
* the returned value is an angle in the range from `-PI` to `PI` radians.
*
* Special cases:
* - `atan2(0.0, 0.0)` is `0.0`
* - `atan2(0.0, x)` is `0.0` for `x > 0` and `PI` for `x < 0`
* - `atan2(-0.0, x)` is `-0.0` for 'x > 0` and `-PI` for `x < 0`
* - `atan2(y, +Inf)` is `0.0` for `0 < y < +Inf` and `-0.0` for '-Inf < y < 0`
* - `atan2(y, -Inf)` is `PI` for `0 < y < +Inf` and `-PI` for `-Inf < y < 0`
* - `atan2(y, 0.0)` is `PI/2` for `y > 0` and `-PI/2` for `y < 0`
* - `atan2(+Inf, x)` is `PI/2` for finite `x`y
* - `atan2(-Inf, x)` is `-PI/2` for finite `x`
* - `atan2(NaN, x)` and `atan2(y, NaN)` is `NaN`
*/
@InlineOnly
public inline fun atan2(y: Double, x: Double): Double = nativeMath.atan2(y, x)
inline fun log(a: Double): Double = nativeMath.log(a)
fun log(a: Double, base: Double): Double = nativeMath.log(a) / nativeMath.log(base)
inline fun log10(a: Double): Double = nativeMath.log10(a)
inline fun log1p(a: Double): Double = nativeMath.log1p(a)
/**
* Computes the hyperbolic sine of the value [a].
*
* Special cases:
*
* - `sinh(NaN)` is `NaN`
* - `sinh(+Inf)` is `+Inf`
* - `sinh(-Inf)` is `-Inf`
*/
@InlineOnly
public inline fun sinh(a: Double): Double = nativeMath.sinh(a)
inline fun ceil(a: Double): Double = nativeMath.ceil(a)
inline fun floor(a: Double): Double = nativeMath.floor(a)
inline fun truncate(a: Double): Double = nativeMath.rint(a)
/**
* Computes the hyperbolic cosine of the value [a].
*
* Special cases:
*
* - `cosh(NaN)` is `NaN`
* - `cosh(+Inf|-Inf)` is `+Inf`
*/
@InlineOnly
public inline fun cosh(a: Double): Double = nativeMath.cosh(a)
/**
* Computes the hyperbolic tangent of the value [a].
*
* Special cases:
*
* - `tanh(NaN)` is `NaN`
* - `tanh(+Inf)` is `1.0`
* - `tanh(-Inf)` is `-1.0`
*/
@InlineOnly
public inline fun tanh(a: Double): Double = nativeMath.tanh(a)
/**
* Computes `sqrt(x^2 + y^2)` without intermediate overflow or underflow.
*
* Special cases:
* - returns `+Inf` if any of arguments is infinite
* - returns `NaN` if any of arguments is `NaN` and the other is not infinite
*/
@InlineOnly
public inline fun hypot(x: Double, y: Double): Double = nativeMath.hypot(x, y)
/**
* Raises the first argument [a] to the power of the second argument [b].
*
* Special cases:
* - `pow(x, 0.0)` is `1.0`
* - `pow(x, 1.0) == x`
* - `pow(x, NaN)` is `NaN`
* - `pow(NaN, x)` is `NaN` for `x != 0.0`
* - `pow(x, Inf)` is `NaN` for `abs(x) == 1.0`
* - `pow(x, y)` is `NaN` for `x < 0` and `y` is finite and not an integer
*/
@InlineOnly
public inline fun pow(a: Double, b: Double): Double = nativeMath.pow(a, b)
/**
* Raises the first argument [a] to the integer power of the second argument [b].
*
* See the other overload of [pow] for details.
*/
@InlineOnly
public inline fun pow(a: Double, b: Int): Double = nativeMath.pow(a, b.toDouble())
/**
* Computes the positive square root of the value [a].
*
* Special cases:
* - `sqrt(x)` is `NaN` when `x < 0` or `x` is `NaN`
*/
@InlineOnly
public inline fun sqrt(a: Double): Double = nativeMath.sqrt(a)
/**
* Computes Euler's number `e` raised to the power of the value [a].
*
* Special cases:
* - `exp(NaN)` is `NaN`
* - `exp(+Inf)` is `+Inf`
* - `exp(-Inf)` is `0.0`
*/
@InlineOnly
public inline fun exp(a: Double): Double = nativeMath.exp(a)
/**
* Computes `exp(a) - 1`.
*
* This function can be implemented to produce more precise result for [a] near zero.
*
* Special cases:
* - `expm1(NaN)` is `NaN`
* - `expm1(+Inf)` is `+Inf`
* - `expm1(-Inf)` is `-1.0`
*
* @see [exp] function.
*/
@InlineOnly
public inline fun expm1(a: Double): Double = nativeMath.expm1(a)
/**
* Computes the logarithm in the given [base] of the [a] value.
*
* Special cases:
* - `log(a, b)` is `NaN` if either `a` or `b` are `NaN`
* - `log(a, b)` is `NaN` when `a < 0` or `b <= 0` or `b == 1.0`
* - `log(+Inf, +Inf)` is `NaN`
* - `log(+Inf, b)` is `+Inf` for `b > 1` and `-Inf` for `b < 1`
* - `log(0.0, b)` is `-Inf` for `b > 1` and `+Inf` for `b > 1`
*/
public fun log(a: Double, base: Double): Double {
if (base <= 0.0 || base == 1.0) return Double.NaN
return nativeMath.log(a) / nativeMath.log(base)
}
/**
* Computes the natural logarithm (base `E`) of the [a] value.
*
* Special cases:
* - `log(NaN)` is `NaN`
* - `log(x)` is `NaN` when `x < 0.0`
* - `log(+Inf)` is `+Inf`
* - `log(0.0)` is `-Inf`
*/
@InlineOnly
public inline fun log(a: Double): Double = nativeMath.log(a)
/**
* Computes the decimal logarithm (base 10) of the [a] value.
*
* @see [log] function for special cases.
*/
@InlineOnly
public inline fun log10(a: Double): Double = nativeMath.log10(a)
/**
* Computes the binary logarithm (base 2) of the [a] value.
*
* @see [log] function for special cases.
*/
public fun log2(a: Double): Double = nativeMath.log(a) / LN2
/**
* Computes `log(a + 1)`.
*
* This function can be implemented to produce more precise result for [a] near zero.
*
* Special cases:
* - `log1p(NaN)` is `NaN`
* - `log1p(x)` is `NaN` where `x < -1.0`
* - `log1p(-1.0)` is `-Inf`
* - `log1p(+Inf)` is `+Inf`
*
* @see [log] function.
*/
@InlineOnly
public inline fun log1p(a: Double): Double = nativeMath.log1p(a)
public inline fun ceil(a: Double): Double = nativeMath.ceil(a)
public inline fun floor(a: Double): Double = nativeMath.floor(a)
public inline fun truncate(a: Double): Double = nativeMath.rint(a)
// also as extension val [absoluteValue]
inline fun abs(a: Double): Double = nativeMath.abs(a)
public inline fun abs(a: Double): Double = nativeMath.abs(a)
// also as extension val [sign]
inline fun sgn(a: Double): Double = nativeMath.signum(a)
public inline fun sgn(a: Double): Double = nativeMath.signum(a)
inline fun min(a: Double, b: Double): Double = nativeMath.min(a, b)
inline fun max(a: Double, b: Double): Double = nativeMath.max(a, b)
/**
* Returns the smaller of two values.
*
* If either value is `NaN`, then the result is `NaN`.
*/
@InlineOnly
public inline fun min(a: Double, b: Double): Double = nativeMath.min(a, b)
/**
* Returns the greater of two values.
*
* If either value is `NaN`, then the result is `NaN`.
*/
@InlineOnly
public inline fun max(a: Double, b: Double): Double = nativeMath.max(a, b)
// extensions
/**
* Raises this value to the power [other].
*
* See the [pow] top-level function for details.
*/
@InlineOnly
@JvmName("power")
inline fun Double.pow(other: Double): Double = nativeMath.pow(this, other)
public inline fun Double.pow(other: Double): Double = nativeMath.pow(this, other)
/**
* Raises this value to the integer power [other].
*
* See the [pow] top-level function for details.
*/
@InlineOnly
@JvmName("power")
inline fun Double.pow(other: Int): Double = nativeMath.pow(this, other.toDouble())
public inline fun Double.pow(other: Int): Double = nativeMath.pow(this, other.toDouble())
inline fun Double.IEEErem(other: Double): Double = nativeMath.IEEEremainder(this, other)
inline val Double.absoluteValue: Double get() = nativeMath.abs(this)
inline val Double.sign: Double get() = nativeMath.signum(this)
inline val Double.exponent: Int get() = nativeMath.getExponent(this)
public inline fun Double.IEEErem(other: Double): Double = nativeMath.IEEEremainder(this, other)
public inline val Double.absoluteValue: Double get() = nativeMath.abs(this)
public inline val Double.sign: Double get() = nativeMath.signum(this)
inline fun Double.withSign(sign: Double): Double = nativeMath.copySign(this, sign)
inline fun Double.withSign(sign: Int): Double = nativeMath.copySign(this, sign.toDouble())
inline fun Double.adjustExponent(scaleFactor: Int): Double = nativeMath.scalb(this, scaleFactor)
fun Double.withExponent(exponent: Int): Double = nativeMath.scalb(this, exponent - this.exponent)
public inline fun Double.withSign(sign: Double): Double = nativeMath.copySign(this, sign)
public inline fun Double.withSign(sign: Int): Double = nativeMath.copySign(this, sign.toDouble())
inline val Double.ulp: Double get() = nativeMath.ulp(this)
inline fun Double.nextUp(): Double = nativeMath.nextUp(this)
inline fun Double.nextDown(): Double = nativeMath.nextAfter(this, Double.NEGATIVE_INFINITY)
inline fun Double.nextTowards(to: Double): Double = nativeMath.nextAfter(this, to)
public inline val Double.ulp: Double get() = nativeMath.ulp(this)
public inline fun Double.nextUp(): Double = nativeMath.nextUp(this)
public inline fun Double.nextDown(): Double = nativeMath.nextAfter(this, Double.NEGATIVE_INFINITY)
public inline fun Double.nextTowards(to: Double): Double = nativeMath.nextAfter(this, to)
fun Double.roundToLong(): Long = if (isNaN()) throw IllegalArgumentException("Cannot round NaN value.") else nativeMath.round(this)
public fun Double.roundToLong(): Long = if (isNaN()) throw IllegalArgumentException("Cannot round NaN value.") else nativeMath.round(this)
// Float
// also as extension val [absoluteValue]
inline fun abs(a: Float): Float = nativeMath.abs(a)
public inline fun abs(a: Float): Float = nativeMath.abs(a)
// also as extension val [sign]
inline fun sgn(a: Float): Float = nativeMath.signum(a)
public inline fun sgn(a: Float): Float = nativeMath.signum(a)
inline fun max(a: Float, b: Float): Float = nativeMath.max(a, b)
inline fun min(a: Float, b: Float): Float = nativeMath.min(a, b)
public inline fun max(a: Float, b: Float): Float = nativeMath.max(a, b)
public inline fun min(a: Float, b: Float): Float = nativeMath.min(a, b)
inline val Float.absoluteValue: Float get() = nativeMath.abs(this)
inline val Float.sign: Float get() = nativeMath.signum(this)
inline val Float.exponent: Int get() = nativeMath.getExponent(this)
public inline val Float.absoluteValue: Float get() = nativeMath.abs(this)
public inline val Float.sign: Float get() = nativeMath.signum(this)
inline fun Float.withSign(sign: Float): Float = nativeMath.copySign(this, sign)
inline fun Float.withSign(sign: Int): Float = nativeMath.copySign(this, sign.toFloat())
inline fun Float.adjustExponent(scaleFactor: Int): Float = nativeMath.scalb(this, scaleFactor)
fun Float.withExponent(exponent: Int): Float = nativeMath.scalb(this, exponent - this.exponent)
public inline fun Float.withSign(sign: Float): Float = nativeMath.copySign(this, sign)
public inline fun Float.withSign(sign: Int): Float = nativeMath.copySign(this, sign.toFloat())
inline val Float.ulp: Float get() = nativeMath.ulp(this)
inline fun Float.nextUp(): Float = nativeMath.nextUp(this)
inline fun Float.nextDown(): Float = nativeMath.nextAfter(this, Double.NEGATIVE_INFINITY)
inline fun Float.nextTowards(to: Double): Float = nativeMath.nextAfter(this, to)
public inline val Float.ulp: Float get() = nativeMath.ulp(this)
public inline fun Float.nextUp(): Float = nativeMath.nextUp(this)
public inline fun Float.nextDown(): Float = nativeMath.nextAfter(this, Double.NEGATIVE_INFINITY)
public inline fun Float.nextTowards(to: Double): Float = nativeMath.nextAfter(this, to)
fun Float.roundToInt(): Int = if (isNaN()) throw IllegalArgumentException("Cannot round NaN value.") else nativeMath.round(this)
fun Float.roundToLong(): Long = toDouble().roundToLong()
public fun Float.roundToInt(): Int = if (isNaN()) throw IllegalArgumentException("Cannot round NaN value.") else nativeMath.round(this)
public fun Float.roundToLong(): Long = toDouble().roundToLong()
// Int
// also as extension val [absoluteValue]
inline fun abs(a: Int): Int = nativeMath.abs(a)
public inline fun abs(a: Int): Int = nativeMath.abs(a)
inline fun min(a: Int, b: Int): Int = nativeMath.min(a, b)
inline fun max(a: Int, b: Int): Int = nativeMath.max(a, b)
public inline fun min(a: Int, b: Int): Int = nativeMath.min(a, b)
public inline fun max(a: Int, b: Int): Int = nativeMath.max(a, b)
inline val Int.absoluteValue: Int get() = nativeMath.abs(this)
public inline val Int.absoluteValue: Int get() = nativeMath.abs(this)
// Long
// also as extension val [absoluteValue]
inline fun abs(a: Long): Long = nativeMath.abs(a)
public inline fun abs(a: Long): Long = nativeMath.abs(a)
inline fun min(a: Long, b: Long): Long = nativeMath.min(a, b)
inline fun max(a: Long, b: Long): Long = nativeMath.max(a, b)
public inline fun min(a: Long, b: Long): Long = nativeMath.min(a, b)
public inline fun max(a: Long, b: Long): Long = nativeMath.max(a, b)
inline val Long.absoluteValue: Long get() = nativeMath.abs(this)
public inline val Long.absoluteValue: Long get() = nativeMath.abs(this)
libraries/stdlib/test/numbers/MathTest.kt
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/*
* Copyright 2010-2017 JetBrains s.r.o.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package test.numbers
import org.junit.Test
import kotlin.math.*
import kotlin.test.*
fun assertAlmostEquals(expected: Double, actual: Double, tolerance: Double? = null) {
val tolerance_ = tolerance?.let { abs(it) } ?: 0.000000000001
if (abs(expected - actual) > tolerance_) {
assertEquals(expected, actual)
}
}
class DoubleMathTest {
@Test fun trigonometric() {
assertEquals(0.0, sin(0.0))
assertAlmostEquals(0.0, sin(PI))
assertEquals(0.0, asin(0.0))
assertAlmostEquals(PI / 2, asin(1.0))
assertEquals(1.0, cos(0.0))
assertAlmostEquals(-1.0, cos(PI))
assertEquals(0.0, acos(1.0))
assertAlmostEquals(PI / 2, acos(0.0))
assertEquals(0.0, tan(0.0))
assertAlmostEquals(1.0, tan(PI / 4))
assertAlmostEquals(0.0, atan(0.0))
assertAlmostEquals(PI / 4, atan(1.0))
assertAlmostEquals(PI / 4, atan2(10.0, 10.0))
assertAlmostEquals(-PI / 4, atan2(Double.NEGATIVE_INFINITY, Double.POSITIVE_INFINITY))
assertAlmostEquals(0.0, atan2(0.0, 0.0))
assertAlmostEquals(0.0, atan2(0.0, 10.0))
assertAlmostEquals(PI / 2, atan2(2.0, 0.0))
for (angle in listOf(Double.NaN, Double.POSITIVE_INFINITY, Double.NEGATIVE_INFINITY)) {
assertTrue(sin(angle).isNaN(), "sin($angle)")
assertTrue(cos(angle).isNaN(), "cos($angle)")
assertTrue(tan(angle).isNaN(), "tan($angle)")
}
for (value in listOf(Double.NaN, 1.2, -1.1)) {
assertTrue(asin(value).isNaN())
assertTrue(acos(value).isNaN())
}
assertTrue(atan(Double.NaN).isNaN())
assertTrue(atan2(Double.NaN, 0.0).isNaN())
assertTrue(atan2(0.0, Double.NaN).isNaN())
}
@Test fun hyperbolic() {
assertEquals(Double.POSITIVE_INFINITY, sinh(Double.POSITIVE_INFINITY))
assertEquals(Double.NEGATIVE_INFINITY, sinh(Double.NEGATIVE_INFINITY))
assertTrue(sinh(Double.NaN).isNaN())
assertEquals(Double.POSITIVE_INFINITY, cosh(Double.POSITIVE_INFINITY))
assertEquals(Double.POSITIVE_INFINITY, cosh(Double.NEGATIVE_INFINITY))
assertTrue(cosh(Double.NaN).isNaN())
assertAlmostEquals(1.0, tanh(Double.POSITIVE_INFINITY))
assertAlmostEquals(-1.0, tanh(Double.NEGATIVE_INFINITY))
assertTrue(tanh(Double.NaN).isNaN())
}
@Test fun powers() {
assertEquals(5.0, hypot(3.0, 4.0))
assertEquals(Double.POSITIVE_INFINITY, hypot(Double.NEGATIVE_INFINITY, Double.NaN))
assertEquals(Double.POSITIVE_INFINITY, hypot(Double.NaN, Double.POSITIVE_INFINITY))
assertTrue(hypot(Double.NaN, 0.0).isNaN())
assertEquals(1.0, pow(Double.NaN, 0.0))
assertEquals(1.0, Double.POSITIVE_INFINITY.pow(0))
assertEquals(49.0, pow(7.0, 2))
assertEquals(0.25, pow(2.0, -2))
assertTrue(pow(0.0, Double.NaN).isNaN())
assertTrue(pow(Double.NaN, -1).isNaN())
assertTrue(pow(-7.0, 1/3.0).isNaN())
assertTrue(pow(1.0, Double.POSITIVE_INFINITY).isNaN())
assertTrue(pow(-1.0, Double.NEGATIVE_INFINITY).isNaN())
assertEquals(5.0, sqrt(9.0 + 16.0))
assertTrue(sqrt(-1.0).isNaN())
assertTrue(sqrt(Double.NaN).isNaN())
assertTrue(exp(Double.NaN).isNaN())
assertAlmostEquals(E, exp(1.0))
assertEquals(1.0, exp(0.0))
assertEquals(0.0, exp(Double.NEGATIVE_INFINITY))
assertEquals(Double.POSITIVE_INFINITY, exp(Double.POSITIVE_INFINITY))
assertEquals(0.0, expm1(0.0))
assertEquals(-1.0, expm1(Double.NEGATIVE_INFINITY))
assertEquals(Double.POSITIVE_INFINITY, expm1(Double.POSITIVE_INFINITY))
}
@Test fun logarithms() {
assertTrue(log(1.0, Double.NaN).isNaN())
assertTrue(log(Double.NaN, 1.0).isNaN())
assertTrue(log(-1.0, 2.0).isNaN())
assertTrue(log(2.0, -1.0).isNaN())
assertTrue(log(2.0, 0.0).isNaN())
assertTrue(log(2.0, 1.0).isNaN())
assertTrue(log(Double.POSITIVE_INFINITY, Double.POSITIVE_INFINITY).isNaN())
assertEquals(-2.0, log(0.25, 2.0))
assertEquals(-0.5, log(2.0, 0.25))
assertEquals(Double.NEGATIVE_INFINITY, log(Double.POSITIVE_INFINITY, 0.25))
assertEquals(Double.POSITIVE_INFINITY, log(Double.POSITIVE_INFINITY, 2.0))
assertEquals(Double.NEGATIVE_INFINITY, log(0.0, 2.0))
assertEquals(Double.POSITIVE_INFINITY, log(0.0, 0.25))
assertTrue(log(Double.NaN).isNaN())
assertTrue(log(-1.0).isNaN())
assertEquals(1.0, log(E))
assertEquals(Double.NEGATIVE_INFINITY, log(0.0))
assertEquals(Double.POSITIVE_INFINITY, log(Double.POSITIVE_INFINITY))
assertEquals(1.0, log10(10.0))
assertAlmostEquals(-1.0, log10(0.1))
assertAlmostEquals(3.0, log2(8.0))
assertEquals(-1.0, log2(0.5))
assertTrue(log1p(Double.NaN).isNaN())
assertTrue(log1p(-1.1).isNaN())
assertEquals(0.0, log1p(0.0))
assertEquals(Double.NEGATIVE_INFINITY, log1p(-1.0))
}
@Test fun rounding() {
TODO()
}
}