Implement manhattan and chebyshev distance for integer vectors

codegen/README.md

@@ -77,6 +77,7 @@ Each template starts with setting up a number of common variables based on the
 inputs from the `codegen` program. Commonly used variables are:
 
 * `self_t` - the name of the type being generated
+* `unsigned_scalar_t` - the unsigned version of `scalar_t` (e.g. `u8`, `u16`, `u32`)
 * `inner_t` - the inner storage type used by this type (e.g. `__m128` or
   `core::storage::XYZ<f32>`)
 * `deref_t` - the type used by the `Deref` and `DerefMut` implementation - not

codegen/templates/vec.rs.tera

@@ -44,6 +44,7 @@
 {% elif scalar_t == "i8" %}
     {% set is_signed = true %}
     {% set is_float = false %}
+    {% set unsigned_scalar_t = "u8" %}
     {% set self_t = "I8Vec" ~ dim %}
     {% set opposite_signedness_t = "U8Vec" ~ dim %}
     {% set vec2_t = "I8Vec2" %}
@@ -53,6 +54,7 @@
 {% elif scalar_t == "u8" %}
     {% set is_signed = false %}
     {% set is_float = false %}
+    {% set unsigned_scalar_t = "u8" %}
     {% set self_t = "U8Vec" ~ dim %}
     {% set opposite_signedness_t = "I8Vec" ~ dim %}
     {% set vec2_t = "U8Vec2" %}
@@ -62,6 +64,7 @@
 {% elif scalar_t == "i16" %}
     {% set is_signed = true %}
     {% set is_float = false %}
+    {% set unsigned_scalar_t = "u16" %}
     {% set self_t = "I16Vec" ~ dim %}
     {% set opposite_signedness_t = "U16Vec" ~ dim %}
     {% set vec2_t = "I16Vec2" %}
@@ -72,6 +75,7 @@
 {% elif scalar_t == "u16" %}
     {% set is_signed = false %}
     {% set is_float = false %}
+    {% set unsigned_scalar_t = "u16" %}
     {% set self_t = "U16Vec" ~ dim %}
     {% set opposite_signedness_t = "I16Vec" ~ dim %}
     {% set vec2_t = "U16Vec2" %}
@@ -82,6 +86,7 @@
 {% elif scalar_t == "i32" %}
     {% set is_signed = true %}
     {% set is_float = false %}
+    {% set unsigned_scalar_t = "u32" %}
     {% set self_t = "IVec" ~ dim %}
     {% set opposite_signedness_t = "UVec" ~ dim %}
     {% set vec2_t = "IVec2" %}
@@ -92,6 +97,7 @@
 {% elif scalar_t == "u32" %}
     {% set is_signed = false %}
     {% set is_float = false %}
+    {% set unsigned_scalar_t = "u32" %}
     {% set self_t = "UVec" ~ dim %}
     {% set opposite_signedness_t = "IVec" ~ dim %}
     {% set vec2_t = "UVec2" %}
@@ -102,6 +108,7 @@
 {% elif scalar_t == "i64" %}
     {% set is_signed = true %}
     {% set is_float = false %}
+    {% set unsigned_scalar_t = "u64" %}
     {% set self_t = "I64Vec" ~ dim %}
     {% set opposite_signedness_t = "U64Vec" ~ dim %}
     {% set vec2_t = "I64Vec2" %}
@@ -112,6 +119,7 @@
 {% elif scalar_t == "u64" %}
     {% set is_signed = false %}
     {% set is_float = false %}
+    {% set unsigned_scalar_t = "u64" %}
     {% set self_t = "U64Vec" ~ dim %}
     {% set opposite_signedness_t = "I64Vec" ~ dim %}
     {% set vec2_t = "U64Vec2" %}
@@ -2166,6 +2174,61 @@ impl {{ self_t }} {
 {% endif %}
 {% endif %}
 
+{% if not is_float %}
+
+    /// Computes the [manhattan distance] between two points.
+    ///
+    /// # Overflow
+    /// This method may overflow if the result is greater than [`{{ unsigned_scalar_t }}::MAX`].
+    ///
+    /// See also [`checked_manhattan_distance`][{{ self_t }}::checked_manhattan_distance].
+    ///
+    /// [manhattan distance]: https://en.wikipedia.org/wiki/Taxicab_geometry
+    #[inline]
+    #[must_use]
+    pub fn manhattan_distance(self, other: Self) -> {{ unsigned_scalar_t }} {
+        {% for c in components %}
+            {% if not loop.first %} + {% endif %}
+            self.{{c}}.abs_diff(other.{{c}})
+        {% endfor %}
+    }
+
+    /// Computes the [manhattan distance] between two points.
+    ///
+    /// This will returns [`None`] if the result is greater than [`{{ unsigned_scalar_t }}::MAX`].
+    ///
+    /// [manhattan distance]: https://en.wikipedia.org/wiki/Taxicab_geometry
+    #[inline]
+    #[must_use]
+    pub fn checked_manhattan_distance(self, other: Self) -> Option<{{ unsigned_scalar_t }}> {
+        {% for c in components %}
+            {%- if loop.first -%}
+                let d = self.{{c}}.abs_diff(other.{{c}});
+            {%- elif loop.last -%}
+                d.checked_add(self.{{c}}.abs_diff(other.{{c}}))
+            {%- else -%}
+                let d = d.checked_add(self.{{c}}.abs_diff(other.{{c}}))?;
+            {%- endif -%}
+        {% endfor %}
+    }
+
+    /// Computes the [chebyshev distance] between two points.
+    ///
+    /// [chebyshev distance]: https://en.wikipedia.org/wiki/Chebyshev_distance
+    #[inline]
+    #[must_use]
+    pub fn chebyshev_distance(self, other: Self) -> {{ unsigned_scalar_t }} {
+        // Note: the compiler will eventually optimize out the loop
+        [
+            {% for c in components %}
+                self.{{c}}.abs_diff(other.{{c}}),
+            {% endfor %}
+        ].into_iter().max().unwrap()
+    }
+
+{% endif %}
+
+
 {% if is_signed and dim == 2 %}
     /// Returns a vector that is equal to `self` rotated by 90 degrees.
     #[inline]

src/i16/i16vec2.rs

@@ -377,6 +377,45 @@ impl I16Vec2 {
         Self::new(self.x.rem_euclid(rhs.x), self.y.rem_euclid(rhs.y))
     }
 
+    /// Computes the [manhattan distance] between two points.
+    ///
+    /// # Overflow
+    /// This method may overflow if the result is greater than [`u16::MAX`].
+    ///
+    /// See also [`checked_manhattan_distance`][I16Vec2::checked_manhattan_distance].
+    ///
+    /// [manhattan distance]: https://en.wikipedia.org/wiki/Taxicab_geometry
+    #[inline]
+    #[must_use]
+    pub fn manhattan_distance(self, other: Self) -> u16 {
+        self.x.abs_diff(other.x) + self.y.abs_diff(other.y)
+    }
+
+    /// Computes the [manhattan distance] between two points.
+    ///
+    /// This will returns [`None`] if the result is greater than [`u16::MAX`].
+    ///
+    /// [manhattan distance]: https://en.wikipedia.org/wiki/Taxicab_geometry
+    #[inline]
+    #[must_use]
+    pub fn checked_manhattan_distance(self, other: Self) -> Option<u16> {
+        let d = self.x.abs_diff(other.x);
+        d.checked_add(self.y.abs_diff(other.y))
+    }
+
+    /// Computes the [chebyshev distance] between two points.
+    ///
+    /// [chebyshev distance]: https://en.wikipedia.org/wiki/Chebyshev_distance
+    #[inline]
+    #[must_use]
+    pub fn chebyshev_distance(self, other: Self) -> u16 {
+        // Note: the compiler will eventually optimize out the loop
+        [self.x.abs_diff(other.x), self.y.abs_diff(other.y)]
+            .into_iter()
+            .max()
+            .unwrap()
+    }
+
     /// Returns a vector that is equal to `self` rotated by 90 degrees.
     #[inline]
     #[must_use]

src/i16/i16vec3.rs

@@ -441,6 +441,50 @@ impl I16Vec3 {
         )
     }
 
+    /// Computes the [manhattan distance] between two points.
+    ///
+    /// # Overflow
+    /// This method may overflow if the result is greater than [`u16::MAX`].
+    ///
+    /// See also [`checked_manhattan_distance`][I16Vec3::checked_manhattan_distance].
+    ///
+    /// [manhattan distance]: https://en.wikipedia.org/wiki/Taxicab_geometry
+    #[inline]
+    #[must_use]
+    pub fn manhattan_distance(self, other: Self) -> u16 {
+        self.x.abs_diff(other.x) + self.y.abs_diff(other.y) + self.z.abs_diff(other.z)
+    }
+
+    /// Computes the [manhattan distance] between two points.
+    ///
+    /// This will returns [`None`] if the result is greater than [`u16::MAX`].
+    ///
+    /// [manhattan distance]: https://en.wikipedia.org/wiki/Taxicab_geometry
+    #[inline]
+    #[must_use]
+    pub fn checked_manhattan_distance(self, other: Self) -> Option<u16> {
+        let d = self.x.abs_diff(other.x);
+        let d = d.checked_add(self.y.abs_diff(other.y))?;
+        d.checked_add(self.z.abs_diff(other.z))
+    }
+
+    /// Computes the [chebyshev distance] between two points.
+    ///
+    /// [chebyshev distance]: https://en.wikipedia.org/wiki/Chebyshev_distance
+    #[inline]
+    #[must_use]
+    pub fn chebyshev_distance(self, other: Self) -> u16 {
+        // Note: the compiler will eventually optimize out the loop
+        [
+            self.x.abs_diff(other.x),
+            self.y.abs_diff(other.y),
+            self.z.abs_diff(other.z),
+        ]
+        .into_iter()
+        .max()
+        .unwrap()
+    }
+
     /// Casts all elements of `self` to `f32`.
     #[inline]
     #[must_use]

src/i16/i16vec4.rs

@@ -473,6 +473,55 @@ impl I16Vec4 {
         )
     }
 
+    /// Computes the [manhattan distance] between two points.
+    ///
+    /// # Overflow
+    /// This method may overflow if the result is greater than [`u16::MAX`].
+    ///
+    /// See also [`checked_manhattan_distance`][I16Vec4::checked_manhattan_distance].
+    ///
+    /// [manhattan distance]: https://en.wikipedia.org/wiki/Taxicab_geometry
+    #[inline]
+    #[must_use]
+    pub fn manhattan_distance(self, other: Self) -> u16 {
+        self.x.abs_diff(other.x)
+            + self.y.abs_diff(other.y)
+            + self.z.abs_diff(other.z)
+            + self.w.abs_diff(other.w)
+    }
+
+    /// Computes the [manhattan distance] between two points.
+    ///
+    /// This will returns [`None`] if the result is greater than [`u16::MAX`].
+    ///
+    /// [manhattan distance]: https://en.wikipedia.org/wiki/Taxicab_geometry
+    #[inline]
+    #[must_use]
+    pub fn checked_manhattan_distance(self, other: Self) -> Option<u16> {
+        let d = self.x.abs_diff(other.x);
+        let d = d.checked_add(self.y.abs_diff(other.y))?;
+        let d = d.checked_add(self.z.abs_diff(other.z))?;
+        d.checked_add(self.w.abs_diff(other.w))
+    }
+
+    /// Computes the [chebyshev distance] between two points.
+    ///
+    /// [chebyshev distance]: https://en.wikipedia.org/wiki/Chebyshev_distance
+    #[inline]
+    #[must_use]
+    pub fn chebyshev_distance(self, other: Self) -> u16 {
+        // Note: the compiler will eventually optimize out the loop
+        [
+            self.x.abs_diff(other.x),
+            self.y.abs_diff(other.y),
+            self.z.abs_diff(other.z),
+            self.w.abs_diff(other.w),
+        ]
+        .into_iter()
+        .max()
+        .unwrap()
+    }
+
     /// Casts all elements of `self` to `f32`.
     #[inline]
     #[must_use]

src/i32/ivec2.rs

@@ -377,6 +377,45 @@ impl IVec2 {
         Self::new(self.x.rem_euclid(rhs.x), self.y.rem_euclid(rhs.y))
     }
 
+    /// Computes the [manhattan distance] between two points.
+    ///
+    /// # Overflow
+    /// This method may overflow if the result is greater than [`u32::MAX`].
+    ///
+    /// See also [`checked_manhattan_distance`][IVec2::checked_manhattan_distance].
+    ///
+    /// [manhattan distance]: https://en.wikipedia.org/wiki/Taxicab_geometry
+    #[inline]
+    #[must_use]
+    pub fn manhattan_distance(self, other: Self) -> u32 {
+        self.x.abs_diff(other.x) + self.y.abs_diff(other.y)
+    }
+
+    /// Computes the [manhattan distance] between two points.
+    ///
+    /// This will returns [`None`] if the result is greater than [`u32::MAX`].
+    ///
+    /// [manhattan distance]: https://en.wikipedia.org/wiki/Taxicab_geometry
+    #[inline]
+    #[must_use]
+    pub fn checked_manhattan_distance(self, other: Self) -> Option<u32> {
+        let d = self.x.abs_diff(other.x);
+        d.checked_add(self.y.abs_diff(other.y))
+    }
+
+    /// Computes the [chebyshev distance] between two points.
+    ///
+    /// [chebyshev distance]: https://en.wikipedia.org/wiki/Chebyshev_distance
+    #[inline]
+    #[must_use]
+    pub fn chebyshev_distance(self, other: Self) -> u32 {
+        // Note: the compiler will eventually optimize out the loop
+        [self.x.abs_diff(other.x), self.y.abs_diff(other.y)]
+            .into_iter()
+            .max()
+            .unwrap()
+    }
+
     /// Returns a vector that is equal to `self` rotated by 90 degrees.
     #[inline]
     #[must_use]

src/i32/ivec3.rs

@@ -441,6 +441,50 @@ impl IVec3 {
         )
     }
 
+    /// Computes the [manhattan distance] between two points.
+    ///
+    /// # Overflow
+    /// This method may overflow if the result is greater than [`u32::MAX`].
+    ///
+    /// See also [`checked_manhattan_distance`][IVec3::checked_manhattan_distance].
+    ///
+    /// [manhattan distance]: https://en.wikipedia.org/wiki/Taxicab_geometry
+    #[inline]
+    #[must_use]
+    pub fn manhattan_distance(self, other: Self) -> u32 {
+        self.x.abs_diff(other.x) + self.y.abs_diff(other.y) + self.z.abs_diff(other.z)
+    }
+
+    /// Computes the [manhattan distance] between two points.
+    ///
+    /// This will returns [`None`] if the result is greater than [`u32::MAX`].
+    ///
+    /// [manhattan distance]: https://en.wikipedia.org/wiki/Taxicab_geometry
+    #[inline]
+    #[must_use]
+    pub fn checked_manhattan_distance(self, other: Self) -> Option<u32> {
+        let d = self.x.abs_diff(other.x);
+        let d = d.checked_add(self.y.abs_diff(other.y))?;
+        d.checked_add(self.z.abs_diff(other.z))
+    }
+
+    /// Computes the [chebyshev distance] between two points.
+    ///
+    /// [chebyshev distance]: https://en.wikipedia.org/wiki/Chebyshev_distance
+    #[inline]
+    #[must_use]
+    pub fn chebyshev_distance(self, other: Self) -> u32 {
+        // Note: the compiler will eventually optimize out the loop
+        [
+            self.x.abs_diff(other.x),
+            self.y.abs_diff(other.y),
+            self.z.abs_diff(other.z),
+        ]
+        .into_iter()
+        .max()
+        .unwrap()
+    }
+
     /// Casts all elements of `self` to `f32`.
     #[inline]
     #[must_use]