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//
// GLSL Mathematics for Rust.
//
// Copyright (c) 2015 The glm-rs authors.
//
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included in
// all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
// THE SOFTWARE.

use basenum::{ BaseNum, BaseFloat };
use traits::{ GenNum, GenFloat };
use num::Float;

/// Returns the cubic root.
#[inline(always)]
pub fn cbrt<F: BaseFloat, T: GenFloat<F>>(x: T) -> T {
    x.map(Float::cbrt)
}

/// `x * x`.
#[inline(always)]
pub fn pow2<N: BaseNum, T: GenNum<N>>(x: T) -> T {
    x * x
}

/// `x * x * x`.
#[inline(always)]
pub fn pow3<N: BaseNum, T: GenNum<N>>(x: T) -> T {
    x * x * x
}

/// Raise a number to an integer power.
#[inline(always)]
pub fn powi<F: BaseFloat, T: GenFloat<F>>(x: T, y: i32) -> T {
    x.map(|f| -> F {
        Float::powi(f, y)
    })
}