Now compiling for 2024.

This allowed us to take the transmute out and remove some unsafe code.

Cargo.toml

@@ -1,20 +1,14 @@
 [package]
 name = "sigils"
 version = "0.1.0"
-authors = ["Jason Travis Smith <Myrddin@CyberMagesLLC.com>"]
+edition = "2024"
 description = "A mathematics library."
-license = ""
+keywords = ["sigils", "math"]
-repository = "https://gitlab.com/CyberMages/Core/sigils.git"
+repository = "https://workshop.cybermages.tech/CyberMages/sigils"
-documentation = ""
+authors = ["Jason Travis Smith <Myrddin@CyberMages.tech>"]
-keywords = ["sigils"]
+readme = "README.md"
-edition = "2018"
+license = "Apache-2.0"
 
-
+[dependencies]
-[dependencies.weave]
+binding = { version = "0.1.0", registry = "cybermages" }
-git = "ssh://git@gitlab.com/CyberMages/Core/weave"
+pact = { version = "0.1.0", registry = "cybermages" }
-
-[dependencies.binding]
-git = "ssh://git@gitlab.com/CyberMages/Core/binding"
-
-[dependencies.pact]
-git = "ssh://git@gitlab.com/CyberMages/Core/pact"

LICENSE.md

@@ -0,0 +1,174 @@
+# Apache License
+Version 2.0, January 2004
+<http://www.apache.org/licenses/>
+
+## TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION
+
+### 1. Definitions.
+
+**"License"** shall mean the terms and conditions for use, reproduction,
+and distribution as defined by Sections 1 through 9 of this document.
+
+**"Licensor"** shall mean the copyright owner or entity authorized by
+the copyright owner that is granting the License.
+
+**"Legal Entity"** shall mean the union of the acting entity and all
+other entities that control, are controlled by, or are under common
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+"control" means (i) the power, direct or indirect, to cause the
+direction or management of such entity, whether by contract or
+otherwise, or (ii) ownership of fifty percent (50%) or more of the
+outstanding shares, or (iii) beneficial ownership of such entity.
+
+**"You" (or "Your")** shall mean an individual or Legal Entity exercising
+permissions granted by this License.
+
+**"Source" form** shall mean the preferred form for making modifications,
+including but not limited to software source code, documentation source,
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+
+**"Object" form** shall mean any form resulting from mechanical
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+limited to compiled object code, generated documentation, and
+conversions to other media types.
+
+**"Work"** shall mean the work of authorship, whether in Source or
+Object form, made available under the License, as indicated by a
+copyright notice that is included in or attached to the work
+(an example is provided in the Appendix below).
+
+**"Derivative Works"** shall mean any work, whether in Source or Object
+form, that is based on (or derived from) the Work and for which the
+editorial revisions, annotations, elaborations, or other modifications
+represent, as a whole, an original work of authorship. For the purposes
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+**"Contribution"** shall mean any work of authorship, including the
+original version of the Work and any modifications or additions to that
+Work or Derivative Works thereof, that is intentionally submitted to
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+**"Contributor"** shall mean Licensor and any individual or Legal Entity
+on behalf of whom a Contribution has been received by Licensor and
+subsequently incorporated within the Work.
+
+### 2. Grant of Copyright License.
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+Subject to the terms and conditions of this License, each Contributor
+hereby grants to You a perpetual, worldwide, non-exclusive, no-charge,
+royalty-free, irrevocable copyright license to reproduce, prepare
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+### 3. Grant of Patent License.
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+royalty-free, irrevocable (except as stated in this section) patent
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+### 4. Redistribution.
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+Object form, provided that You meet the following conditions:
+
+1. You must give any other recipients of the Work or Derivative Works a
+   copy of this License; and
+
+2. You must cause any modified files to carry prominent notices stating
+   that You changed the files; and
+
+3. You must retain, in the Source form of any Derivative Works that You
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+4. If the Work includes a "NOTICE" text file as part of its distribution,
+   then any Derivative Works that You distribute must include a readable
+   copy of the attribution notices contained within such NOTICE file,
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+   NOTICE file are for informational purposes only and do not modify the
+   License. You may add Your own attribution notices within Derivative
+   Works that You distribute, alongside or as an addendum to the NOTICE
+   text from the Work, provided that such additional attribution notices
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+
+You may add Your own copyright statement to Your modifications and may
+provide additional or different license terms and conditions for use,
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+distribution of the Work otherwise complies with the conditions stated
+in this License.
+
+### 5. Submission of Contributions.
+
+Unless You explicitly state otherwise, any Contribution intentionally
+submitted for inclusion in the Work by You to the Licensor shall be
+under the terms and conditions of this License, without any additional
+terms or conditions. Notwithstanding the above, nothing herein shall
+supersede or modify the terms of any separate license agreement you
+may have executed with Licensor regarding such Contributions.
+
+### 6. Trademarks.
+
+This License does not grant permission to use the trade names,
+trademarks, service marks, or product names of the Licensor, except as
+required for describing the origin of the Work and reproducing the
+content of the NOTICE file.
+
+### 7. Disclaimer of Warranty.
+
+Unless required by applicable law or agreed to in writing, Licensor
+provides the Work (and each Contributor provides its Contributions) on
+an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either
+express or implied, including, without limitation, any warranties or
+conditions of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR
+A PARTICULAR PURPOSE. You are solely responsible for determining the
+appropriateness of using or redistributing the Work and assume any
+risks associated with Your exercise of permissions under this License.
+
+### 8. Limitation of Liability.
+
+In no event and under no legal theory, whether in tort (including
+negligence), contract, or otherwise, unless required by applicable law
+(such as deliberate and grossly negligent acts) or agreed to in writing,
+shall any Contributor be liable to You for damages, including any direct,
+indirect, special, incidental, or consequential damages of any character
+arising as a result of this License or out of the use or inability to use
+the Work (including but not limited to damages for loss of goodwill, work
+stoppage, computer failure or malfunction, or any and all other commercial
+damages or losses), even if such Contributor has been advised of the
+possibility of such damages.
+
+### 9. Accepting Warranty or Additional Liability.
+
+While redistributing the Work or Derivative Works thereof, You may choose
+to offer, and charge a fee for, acceptance of support, warranty, indemnity,
+or other liability obligations and/or rights consistent with this License.
+However, in accepting such obligations, You may act only on Your own behalf
+and on Your sole responsibility, not on behalf of any other Contributor,
+and only if You agree to indemnify, defend, and hold each Contributor
+harmless for any liability incurred by, or claims asserted against, such
+Contributor by reason of your accepting any such warranty or additional
+liability.

README.md

@@ -1,8 +1,94 @@
 # Sigils #
-A mathematics library.
+**sigils** is a trait-driven Rust math library offering vector, quaternion, and 
+numeric abstractions for simulation, graphics, and systems-level development.
+
+It focuses on performance, generic correctness, and ergonomic APIs without 
+sacrificing type safety or precision.
+
+---
+
+## Features
+
+- Generic `Vector` and `Quaternion` trait abstractions
+- Implementation of common 2D and 3D types (`Vec2`, `Vec3`, `Quat`)
+- Traits for scalar math operations on floats and integers
+- Designed for zero-cost abstractions and compiler optimization
+- Suited for simulation, embedded graphics, and procedural tools
+
+---
+
+## Motivation
+
+Simulation, game, and physics systems often need mathematical primitives with
+predictable behavior, performance, and strong type guarantees.
+
+**sigils** exists to provide just that, core math abstractions without the
+complexity or bloat of large game engines or math suites.
+
+---
+
+## Getting Started
+
+First, add the CyberMages registry to your Cargo config:
+
+```toml
+[registries.cybermages]
+index = "sparse+https://workshop.cybermages.tech/api/packages/CyberMages/cargo/"
+```
+
+Then add `sigils` to your dependencies:
+
+```toml
+[dependencies]
+sigils = { version = "0.1", registry = "cybermages" }
+```
+
+---
+
+## Example Usage
+
+```rust
+TODO: Rotate a Vector with a Quaternion.
+```
+
+---
+
+## Documentation
+
+Documentation can be generated locally with:
+
+```bash
+cargo doc --open
+```
+
+---
+
+## Design Highlights
+
+- Uses traits to decouple math concepts from specific types
+- Scalar math via trait constraints allows use of `f32`, `f64`, or custom types
+- Encourages composability across simulation and rendering domains
+- Small and dependency-free core, easy to embed or extend
+
+## Notes
 
 The code in this library uses macros pretty heavily. As such,
 please check the trait's documentation for a function since the
 macro definition will not really be documented. This was not
 done to make documentation difficult, but to make coding the
 library easier and to make it easier to maintain.
+
+---
+
+## Copyright & License
+
+Copyright 2015 CyberMages LLC
+
+Licensed under the Apache License, Version 2.0 (the "License");
+you may not use this library 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

examples/quaternion.rs

@@ -1,3 +1,6 @@
+// SPDX-License-Identifier: Apache-2.0
+// Sealed with Magistamp.
+
 use sigils::quaternion::{Quaternion};
 
 

examples/trig.rs

@@ -1,3 +1,6 @@
+// SPDX-License-Identifier: Apache-2.0
+// Sealed with Magistamp.
+
 use sigils::{Constants, Degree, Radian, Trig};
 
 

examples/vector.rs

@@ -1,3 +1,6 @@
+// SPDX-License-Identifier: Apache-2.0
+// Sealed with Magistamp.
+
 use sigils::vector::{EuclideanVector, Vector2, Vector3, Vector4};
 
 

src/bounded.rs

@@ -0,0 +1,99 @@
+// SPDX-License-Identifier: Apache-2.0
+// Sealed with Magistamp.
+
+/// Primitive types that have upper and lower bounds.
+pub trait Bounded
+{
+   /// The minimum value for this type.
+   const MIN: Self;
+
+   /// The maximum value for this type.
+   const MAX: Self;
+}
+
+
+
+/// A macro for making implementation of
+/// the Bounded trait easier.
+macro_rules! bounded_trait_impl
+{
+   ($T: ty, $minVal: expr, $maxVal: expr) =>
+   {
+      impl Bounded for $T
+      {
+         const MIN: $T = $minVal;
+
+         const MAX: $T = $maxVal;
+      }
+   }
+}
+
+
+// Implement the Bounded for all the primitive types.
+bounded_trait_impl!(u8, 0u8, !0u8);
+bounded_trait_impl!(u16, 0u16, !0u16);
+bounded_trait_impl!(u32, 0u32, !0u32);
+bounded_trait_impl!(u64, 0u64, !0u64);
+bounded_trait_impl!(usize, 0usize, !0usize);
+
+bounded_trait_impl!(i8, (!0i8 ^ (!0u8 >> 1u8) as i8),
+                        !(!0i8 ^ (!0u8 >> 1u8) as i8));
+bounded_trait_impl!(i16, (!0i16 ^ (!0u16 >> 1u16) as i16),
+                         !(!0i16 ^ (!0u16 >> 1u16) as i16));
+bounded_trait_impl!(i32, (!0i32 ^ (!0u32 >> 1u32) as i32),
+                         !(!0i32 ^ (!0u32 >> 1u32) as i32));
+bounded_trait_impl!(i64, (!0i64 ^ (!0u64 >> 1u64) as i64),
+                         !(!0i64 ^ (!0u64 >> 1u64) as i64));
+bounded_trait_impl!(isize, (!0isize ^ (!0usize >> 1usize) as isize),
+                           !(!0isize ^ (!0usize >> 1usize) as isize));
+
+bounded_trait_impl!(f32, -3.40282347e+38f32, 3.40282347e+38f32);
+bounded_trait_impl!(f64, -1.7976931348623157e+308f64,
+                         1.7976931348623157e+308f64);
+
+
+
+#[cfg(test)]
+mod tests
+{
+   macro_rules! bounds_test
+   {
+      ($T: ident, $func_name: ident, $minVal: expr, $maxVal: expr) =>
+      {
+         #[test]
+         fn $func_name()
+         {
+            assert_eq!($T::MIN, $minVal);
+            assert_eq!($T::MAX, $maxVal);
+         }
+      }
+   }
+
+   bounds_test!(u8, min_max_u8, 0u8, !0u8);
+   bounds_test!(u16, min_max_u16, 0u16, !0u16);
+   bounds_test!(u32, min_max_u32, 0u32, !0u32);
+   bounds_test!(u64, min_max_u64, 0u64, !0u64);
+   bounds_test!(usize, min_max_usize, 0usize, !0usize);
+
+   bounds_test!(i8, min_max_i8,
+    -1i8 << (((::std::mem::size_of::<i8>() as i8)*8i8)-1i8),
+    !(-1i8 << (((::std::mem::size_of::<i8>() as i8)*8i8)-1i8)));
+   bounds_test!(i16, min_max_i16,
+    -1i16 << (((::std::mem::size_of::<i16>() as i16)*8i16)-1i16),
+    !(-1i16 << (((::std::mem::size_of::<i16>() as i16)*8i16)-1i16)));
+   bounds_test!(i32, min_max_i32,
+    -1i32 << (((::std::mem::size_of::<i32>() as i32)*8i32)-1i32),
+    !(-1i32 << (((::std::mem::size_of::<i32>() as i32)*8i32)-1i32)));
+   bounds_test!(i64, min_max_i64,
+    -1i64 << (((::std::mem::size_of::<i64>() as i64)*8i64)-1i64),
+    !(-1i64 << (((::std::mem::size_of::<i64>() as i64)*8i64)-1i64)));
+   bounds_test!(isize, min_max_isize,
+    -1isize << (((::std::mem::size_of::<isize>() as isize)*8isize)-1isize),
+    !(-1isize << (((::std::mem::size_of::<isize>() as isize)*8isize)-1isize)));
+
+   bounds_test!(f32, min_max_f32,
+                -3.40282347e+38f32, 3.40282347e+38f32);
+   bounds_test!(f64, min_max_f64,
+                -1.7976931348623157e+308f64,
+                1.7976931348623157e+308f64);
+}

src/constants.rs

@@ -1,3 +1,6 @@
+// SPDX-License-Identifier: Apache-2.0
+// Sealed with Magistamp.
+
 use std::{f32, f64};
 
 
@@ -57,6 +60,7 @@ pub trait Constants
    const INVERSE_SQRT_3: Self;
 
    /// The mathematical constant [E][1]. Also known as [Euler's number][1].
+   ///
    /// [1]: https://en.wikipedia.org/wiki/E_(mathematical_constant)
    ///
    ///```
@@ -130,6 +134,7 @@ pub trait Constants
    const TWO_PI: Self;
 
    /// [PI][1]. The ratio of a circles circumference to its diameter.
+   ///
    /// [1]: https://en.wikipedia.org/wiki/Pi
    ///
    ///```

src/integer.rs

@@ -1,3 +1,6 @@
+// SPDX-License-Identifier: Apache-2.0
+// Sealed with Magistamp.
+
 use crate::number::Number;
 use crate::one::One;
 use crate::zero::Zero;

src/lib.rs

@@ -1,3 +1,6 @@
+// SPDX-License-Identifier: Apache-2.0
+// Sealed with Magistamp.
+
 //! A mathematical library.
 //! License: Proprietary
 //!
@@ -10,6 +13,8 @@ extern crate core as std;
 #[macro_use]
 mod macros;
 
+mod bounded;
+
 mod zero;
 mod one;
 mod number;
@@ -26,9 +31,10 @@ pub mod quaternion;
 
 
 
+pub use self::bounded::Bounded;
 pub use self::zero::Zero;
 pub use self::one::One;
-pub use self::number::Number;
+pub use self::number::{Number, FromNumber};
 pub use self::whole::Whole;
 pub use self::integer::Integer;
 pub use self::real::Real;

src/line.rs

@@ -0,0 +1,3 @@
+// SPDX-License-Identifier: Apache-2.0
+// Sealed with Magistamp.
+

src/macros.rs

@@ -1,3 +1,6 @@
+// SPDX-License-Identifier: Apache-2.0
+// Sealed with Magistamp.
+
 /// A macro that will define a binary operation for
 /// a structure and its components.
 macro_rules! binary_operator_impl

src/matrix.rs

@@ -1,8 +1,9 @@
-//! This module defines the 2x2, 3x3, and 4x4 Matrix structures.
+// SPDX-License-Identifier: Apache-2.0
-use std::ops::{Add, Sub, Mul, Div, Rem, Neg};
+// Sealed with Magistamp.
+
+//! This module defines the 2x2, 3x3, and 4x4 Matrix structures.
+//use std::ops::{Add, Sub, Mul, Div, Rem, Neg};
 
-use crate::zero::Zero;
-use crate::one::One;
 use crate::number::Number;
 use crate::vector::{Vector, Vector2, Vector3, Vector4};
 

src/number.rs

@@ -1,3 +1,6 @@
+// SPDX-License-Identifier: Apache-2.0
+// Sealed with Magistamp.
+
 use std::cmp::{PartialEq, PartialOrd};
 use std::fmt::{Debug, Display};
 use std::mem::size_of;
@@ -5,8 +8,7 @@ use std::ops::{Add, Sub, Mul, Div, Rem};
 use std::ops::{AddAssign, SubAssign, MulAssign, DivAssign, RemAssign};
 use std::str::FromStr;
 
-use weave::Bounded;
+use crate::bounded::Bounded;
-
 use crate::zero::Zero;
 use crate::one::One;
 
@@ -900,8 +902,6 @@ float_number_trait_impl!(Number for f64, -1.7976931348623157e+308f64,
                                           1.7976931348623157e+308f64,
                                           fmin, fmax);
 
-#[cfg(target_pointer_width = "8")]
-int_number_trait_impl!(Number for usize, 0usize, 255usize);
 #[cfg(target_pointer_width = "16")]
 int_number_trait_impl!(Number for usize, 0usize, 65535usize);
 #[cfg(target_pointer_width = "32")]
@@ -909,8 +909,6 @@ int_number_trait_impl!(Number for usize, 0usize, 4294967295usize);
 #[cfg(target_pointer_width = "64")]
 int_number_trait_impl!(Number for usize, 0usize, 18446744073709551615usize);
 
-#[cfg(target_pointer_width = "8")]
-int_number_trait_impl!(Number for isize, -128isize, 127isize);
 #[cfg(target_pointer_width = "16")]
 int_number_trait_impl!(Number for isize, -32768isize, 32767isize);
 #[cfg(target_pointer_width = "32")]

src/one.rs

@@ -1,3 +1,6 @@
+// SPDX-License-Identifier: Apache-2.0
+// Sealed with Magistamp.
+
 use std::ops::Mul;
 
 /// Defines a multiplicative identity element for `Self`.
@@ -7,7 +10,7 @@ pub trait One: Sized + Mul<Self, Output=Self>
    ///
    /// # Laws
    ///
-   /// ```{.text}
+   /// ```text
    /// a * 1 = a       ∀ a ∈ Self
    /// 1 * a = a       ∀ a ∈ Self
    /// ```

src/plane.rs

@@ -0,0 +1,3 @@
+// SPDX-License-Identifier: Apache-2.0
+// Sealed with Magistamp.
+

src/point.rs

@@ -0,0 +1,3 @@
+// SPDX-License-Identifier: Apache-2.0
+// Sealed with Magistamp.
+

src/quaternion.rs

@@ -1,3 +1,6 @@
+// SPDX-License-Identifier: Apache-2.0
+// Sealed with Magistamp.
+
 //! This module defines the [Quaternion][1] and
 //! [DualQuaternion][2] structures.
 //!
@@ -8,10 +11,8 @@ use std::ops::{Add, Sub, Mul, Div, Neg};
 
 use crate::zero::Zero;
 use crate::one::One;
-use crate::real::Real;
-use crate::trig::Radian;
 use crate::trig::Trig;
-use crate::vector::{Vector, EuclideanVector, Vector3};
+use crate::vector::{EuclideanVector, Vector3};
 
 
 

src/ray.rs

@@ -0,0 +1,3 @@
+// SPDX-License-Identifier: Apache-2.0
+// Sealed with Magistamp.
+

src/real.rs

@@ -1,3 +1,6 @@
+// SPDX-License-Identifier: Apache-2.0
+// Sealed with Magistamp.
+
 use std::num::FpCategory;
 use std::ops::Neg;
 
@@ -159,22 +162,18 @@ pub trait Real : Number + Constants + Neg<Output=Self>
    /// use std::{f32, f64};
    /// use sigils::Real;
    ///
-   /// let nan32: f32 = f32::NAN;
    /// let f_val32 = 7.0f32;
    /// let g_val32 = -7.0f32;
    ///
-   /// let nan64: f64 = f64::NAN;
    /// let f_val64 = 7.0f64;
    /// let g_val64 = -7.0f64;
    ///
    /// // Requires both tests to determine if is `NaN`
    /// assert!(!f_val32.is_sign_negative());
    /// assert!(g_val32.is_sign_negative());
-   /// assert!(!nan32.is_sign_positive() && !nan32.is_sign_negative());
    ///
    /// assert!(!f_val64.is_sign_negative());
    /// assert!(g_val64.is_sign_negative());
-   /// assert!(!nan64.is_sign_positive() && !nan64.is_sign_negative());
    /// ```
    fn is_sign_negative(self) -> bool;
 
@@ -185,22 +184,18 @@ pub trait Real : Number + Constants + Neg<Output=Self>
    /// use std::{f32, f64};
    /// use sigils::Real;
    ///
-   /// let nan32: f32 = f32::NAN;
    /// let f_val32 = 7.0f32;
    /// let g_val32 = -7.0f32;
    ///
-   /// let nan64: f64 = f64::NAN;
    /// let f_val64 = 7.0f64;
    /// let g_val64 = -7.0f64;
    ///
    /// // Requires both tests to determine if is `NaN`
    /// assert!(f_val32.is_sign_positive());
    /// assert!(!g_val32.is_sign_positive());
-   /// assert!(!nan32.is_sign_positive() && !nan32.is_sign_negative());
    ///
    /// assert!(f_val64.is_sign_positive());
    /// assert!(!g_val64.is_sign_positive());
-   /// assert!(!nan64.is_sign_positive() && !nan64.is_sign_negative());
    /// ```
    fn is_sign_positive(self) -> bool;
 
@@ -228,8 +223,6 @@ pub trait Real : Number + Constants + Neg<Output=Self>
    /// ```
    fn get_signum(self) -> Self;
 
-   /* TODO: Reimplement this when the error for 'use core::num::Float;'
-            goes away.
    /// Returns the floating point category of the number.
    /// If only one property is going to be tested, it is
    /// generally faster to use the specific predicate instead.
@@ -252,9 +245,7 @@ pub trait Real : Number + Constants + Neg<Output=Self>
    /// assert_eq!(inf64.get_category(), FpCategory::Infinite);
    /// ```
    fn get_category(self) -> FpCategory;
-   */
 
-   // TODO: Fix/check this example.
    /// Returns the mantissa, base 2 exponent, and sign as
    /// integers, respectively. The original number can be
    /// recovered by `sign * mantissa * 2 ^ exponent`.
@@ -265,7 +256,7 @@ pub trait Real : Number + Constants + Neg<Output=Self>
    /// let num = 2.0f32;
    ///
    /// // (8388608, -22, 1)
-   /// let (mantissa, exponent, sign) = Real::integer_decode(num);
+   /// let (mantissa, exponent, sign) = Real::get_integer_decode(num);
    /// let sign_f = sign as f32;
    /// let mantissa_f = mantissa as f32;
    /// let exponent_f = num.powf(exponent as f32);
@@ -646,18 +637,18 @@ impl Real for f32
    const NEG_INFINITY: Self = -1.0f32 / 0.0f32;
 
    ///
-   const NAN: Self = 0.0f32 / 0.0f32;
+   const NAN: Self = f32::NAN;
 
 
 
    fn is_nan(self) -> bool
    {
-      self == Self::NAN
+      self.is_nan()
    }
 
    fn is_finite(self) -> bool
    {
-      !self.is_infinite() && self != Self::NAN
+      !self.is_infinite() && !self.is_nan()
    }
 
    fn is_infinite(self) -> bool
@@ -701,13 +692,10 @@ impl Real for f32
       }
    }
 
-   /* TODO: Reimplement this when the error for 'use core::num::Float;'
-            goes away.
    fn get_category(self) -> FpCategory
    {
       self.classify()
    }
-   */
 
    fn get_integer_decode(self) -> (u64, i16, i8)
    {
@@ -716,7 +704,7 @@ impl Real for f32
       let mantissa: u32;
       let mut exponent: i16;
 
-      bits = unsafe { ::std::mem::transmute(self) };
+      bits = self.to_bits();
       if bits >> 31 == 0
       {
          sign = 1;
@@ -908,18 +896,18 @@ impl Real for f64
    const NEG_INFINITY: Self = -1.0f64 / 0.0f64;
 
    ///
-   const NAN: Self = 0.0f64 / 0.0f64;
+   const NAN: Self = f64::NAN;
 
 
 
    fn is_nan(self) -> bool
    {
-      self == Self::NAN
+      self.is_nan()
    }
 
    fn is_finite(self) -> bool
    {
-      !self.is_infinite() && self != Self::NAN
+      !self.is_infinite() && !self.is_nan()
    }
 
    fn is_infinite(self) -> bool
@@ -963,13 +951,10 @@ impl Real for f64
       }
    }
 
-   /* TODO: Reimplement this when the error for 'use core::num::Float;'
-            goes away.
    fn get_category(self) -> FpCategory
    {
       self.classify()
    }
-   */
 
    fn get_integer_decode(self) -> (u64, i16, i8)
    {
@@ -978,7 +963,7 @@ impl Real for f64
       let mantissa: u64;
       let mut exponent: i16;
 
-      bits = unsafe { ::std::mem::transmute(self) };
+      bits = self.to_bits();
       if bits >> 63 == 0
       {
          sign = 1;

src/trig.rs

@@ -1,3 +1,6 @@
+// SPDX-License-Identifier: Apache-2.0
+// Sealed with Magistamp.
+
 //! This section of the library handles the branch of mathematics
 //! that studies relationships involving lengths and angles of triangles.
 

src/trig/degree.rs

@@ -1,3 +1,6 @@
+// SPDX-License-Identifier: Apache-2.0
+// Sealed with Magistamp.
+
 use std::ops::{Add, Sub, Mul, Div, Rem, Neg};
 use std::ops::{AddAssign, SubAssign, MulAssign, DivAssign, RemAssign};
 

src/trig/radian.rs

@@ -1,3 +1,6 @@
+// SPDX-License-Identifier: Apache-2.0
+// Sealed with Magistamp.
+
 use std::ops::{Add, Sub, Mul, Div, Rem, Neg};
 use std::ops::{AddAssign, SubAssign, MulAssign, DivAssign, RemAssign};
 

src/trig/trig.rs

@@ -1,3 +1,6 @@
+// SPDX-License-Identifier: Apache-2.0
+// Sealed with Magistamp.
+
 use binding::{CDouble, CFloat};
 
 use crate::real::Real;

src/vector.rs

@@ -1,3 +1,6 @@
+// SPDX-License-Identifier: Apache-2.0
+// Sealed with Magistamp.
+
 //! This module defines 2, 3, and 4 component [Vector][1] structures.
 //!
 //! [1]: https://en.wikipedia.org/wiki/Vector_(mathematics_and_physics)
@@ -5,12 +8,9 @@ use std::fmt::{Error, Formatter, Debug, Display};
 use std::ops::{Add, Sub, Mul, Div, Rem, Neg};
 use std::ops::{AddAssign, SubAssign, MulAssign, DivAssign, RemAssign};
 
-use weave::attempt;
-
 use crate::zero::Zero;
 use crate::one::One;
 use crate::number::Number;
-use crate::real::Real;
 use crate::trig::Radian;
 use crate::trig::Trig;
 
@@ -550,12 +550,12 @@ macro_rules! define_vector
             // pretty up the printing.
             count = self.get_size();
 
-            attempt!(write!(formatter, "<"));
+            write!(formatter, "<")?;
             $(
-               attempt!(write!(formatter, "{:?}", self.$field));
+               write!(formatter, "{:?}", self.$field)?;
                if count > 0
                {
-                  attempt!(write!(formatter, ", "));
+                  write!(formatter, ", ")?;
                }
                count -= 1;
             )*
@@ -575,12 +575,12 @@ macro_rules! define_vector
             // pretty up the printing.
             count = self.get_size();
 
-            attempt!(write!(formatter, "<"));
+            write!(formatter, "<")?;
             $(
-               attempt!(write!(formatter, "{}", self.$field));
+               write!(formatter, "{}", self.$field)?;
                if count > 1
                {
-                  attempt!(write!(formatter, ", "));
+                  write!(formatter, ", ")?;
                }
                count -= 1;
             )*

src/whole.rs

@@ -1,3 +1,6 @@
+// SPDX-License-Identifier: Apache-2.0
+// Sealed with Magistamp.
+
 use super::number::Number;
 
 

src/zero.rs

@@ -1,3 +1,6 @@
+// SPDX-License-Identifier: Apache-2.0
+// Sealed with Magistamp.
+
 use std::ops::Add;
 
 /// Defines an additive identity element for `Self`.
@@ -7,7 +10,7 @@ pub trait Zero: Sized + Add<Self, Output=Self>
    ///
    /// # Laws
    ///
-   /// ```{.text}
+   /// ```text
    /// a + 0 = a       ∀ a ∈ Self
    /// 0 + a = a       ∀ a ∈ Self
    /// ```

tests/constants.rs

@@ -1,3 +1,6 @@
+// SPDX-License-Identifier: Apache-2.0
+// Sealed with Magistamp.
+
 use std::{f32, f64};
 use sigils::Constants;
 

tests/lib.rs

@@ -1,2 +1,5 @@
+// SPDX-License-Identifier: Apache-2.0
+// Sealed with Magistamp.
+
 mod constants;
 mod vector;

tests/vector.rs

@@ -1,3 +1,6 @@
+// SPDX-License-Identifier: Apache-2.0
+// Sealed with Magistamp.
+
 use std::ops::{Add, Sub, Mul, Div, Rem};
 use std::ops::{AddAssign, SubAssign, MulAssign, DivAssign, RemAssign};
 use sigils::vector::*;