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add abstract Floating trait. todo: impl Floating for Float #1204

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add abstract Floating trait. todo: impl Floating for Float #1204

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f1e3429
add abstract Floating trait.
bobzhang Nov 8, 2024
f02efba
tweak
bobzhang Nov 8, 2024
4299eda
refactor: update comments in Floating trait for clarity
bobzhang Nov 8, 2024
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53 changes: 53 additions & 0 deletions math/float.mbt
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Original file line number Diff line number Diff line change
@@ -0,0 +1,53 @@
// Copyright 2024 International Digital Economy Academy
//
// 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.

trait Floating {
asin(Self) -> Self
// ideas: `as`
// or use @math.Floating::asin(x)
// how about
// pub fn asin(x : Self) -> Self
acos(Self) -> Self
}

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note we may introduce a sugar like this:

pub trait Floating::(asin, acos)

pub fn asin[T : Floating](x : T) -> T {
x.asin()
}

pub fn acos[T : Floating](x : T) -> T {
x.acos()
}

pub impl Floating for Double with asin(x) {
if Double::is_inf(x) || Double::is_nan(x) || x == 0.0 {
x
} else {
let x_ = x.abs()
if x_ > 1.0 {
@double.not_a_number
} else {
let temp = (1.0 - x_ * x_).sqrt()
(if x > 0.7 { PI / 2.0 - satan(temp / x_) } else { satan(x_ / temp) }) *
x.signum()
}
}
}

pub impl Floating for Double with acos(x) {
if Double::is_inf(x) || Double::is_nan(x) {
x
} else {
PI / 2.0 - asin(x)
}
}
7 changes: 4 additions & 3 deletions math/math.mbti
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Original file line number Diff line number Diff line change
Expand Up @@ -3,9 +3,9 @@ package moonbitlang/core/math
// Values
const PI : Double = 0x3.243F6A8885A308CA8A54

fn acos(Double) -> Double
fn acos[T : Floating](T) -> T

fn asin(Double) -> Double
fn asin[T : Floating](T) -> T

fn atan(Double) -> Double

Expand Down Expand Up @@ -44,6 +44,7 @@ fn trunc(Double) -> Double
// Type aliases

// Traits

trait Floating
// Extension Methods
impl Floating for Double

23 changes: 0 additions & 23 deletions math/trigonometric.mbt
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Original file line number Diff line number Diff line change
Expand Up @@ -233,29 +233,6 @@ pub fn atan(x : Double) -> Double {
}
}

pub fn asin(x : Double) -> Double {
if Double::is_inf(x) || Double::is_nan(x) || x == 0.0 {
x
} else {
let x_ = x.abs()
if x_ > 1.0 {
@double.not_a_number
} else {
let temp = (1.0 - x_ * x_).sqrt()
(if x > 0.7 { PI / 2.0 - satan(temp / x_) } else { satan(x_ / temp) }) *
x.signum()
}
}
}

pub fn acos(x : Double) -> Double {
if Double::is_inf(x) || Double::is_nan(x) {
x
} else {
PI / 2.0 - asin(x)
}
}

fn copysign(x : Double, y : Double) -> Double {
if y < 0 {
-x.abs()
Expand Down
28 changes: 28 additions & 0 deletions trace.json
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