Fix TensorAlloc copy that was copying the ptr

Realized I can just do alloc.create instead of a all new struct

.gitignore

@@ -1,2 +1,4 @@
 zig-out
 .zig-cache
+mkdocs.yaml
+zig-pkg

LICENSE

@@ -0,0 +1,674 @@
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+
+  IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
+WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
+THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY
+GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE
+USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
+DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
+PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
+EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGES.
+
+  17. Interpretation of Sections 15 and 16.
+
+  If the disclaimer of warranty and limitation of liability provided
+above cannot be given local legal effect according to their terms,
+reviewing courts shall apply local law that most closely approximates
+an absolute waiver of all civil liability in connection with the
+Program, unless a warranty or assumption of liability accompanies a
+copy of the Program in return for a fee.
+
+                     END OF TERMS AND CONDITIONS
+
+            How to Apply These Terms to Your New Programs
+
+  If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
+
+  To do so, attach the following notices to the program.  It is safest
+to attach them to the start of each source file to most effectively
+state the exclusion of warranty; and each file should have at least
+the "copyright" line and a pointer to where the full notice is found.
+
+    <one line to give the program's name and a brief idea of what it does.>
+    Copyright (C) <year>  <name of author>
+
+    This program is free software: you can redistribute it and/or modify
+    it under the terms of the GNU General Public License as published by
+    the Free Software Foundation, either version 3 of the License, or
+    (at your option) any later version.
+
+    This program is distributed in the hope that it will be useful,
+    but WITHOUT ANY WARRANTY; without even the implied warranty of
+    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+    GNU General Public License for more details.
+
+    You should have received a copy of the GNU General Public License
+    along with this program.  If not, see <https://www.gnu.org/licenses/>.
+
+Also add information on how to contact you by electronic and paper mail.
+
+  If the program does terminal interaction, make it output a short
+notice like this when it starts in an interactive mode:
+
+    <program>  Copyright (C) <year>  <name of author>
+    This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+    This is free software, and you are welcome to redistribute it
+    under certain conditions; type `show c' for details.
+
+The hypothetical commands `show w' and `show c' should show the appropriate
+parts of the General Public License.  Of course, your program's commands
+might be different; for a GUI interface, you would use an "about box".
+
+  You should also get your employer (if you work as a programmer) or school,
+if any, to sign a "copyright disclaimer" for the program, if necessary.
+For more information on this, and how to apply and follow the GNU GPL, see
+<https://www.gnu.org/licenses/>.
+
+  The GNU General Public License does not permit incorporating your program
+into proprietary programs.  If your program is a subroutine library, you
+may consider it more useful to permit linking proprietary applications with
+the library.  If this is what you want to do, use the GNU Lesser General
+Public License instead of this License.  But first, please read
+<https://www.gnu.org/licenses/why-not-lgpl.html>.

README.md

@@ -1,306 +1,253 @@
-# zig_units
+# dimal — Dimensional Analysis for Zig
 
-**Compile-time dimensional analysis for Zig.**
+A dimensional analysis library for Zig with a unified `Tensor` API for scalars, vectors, matrices, and higher-dimensional data. All dimension and unit tracking happens at compile time—zero runtime overhead—and all operations use SIMD intrinsics.
 
-`zig_units` lets you attach physical units to numeric values so that
+If you try to add meters to seconds, it won't compile. That's the point.
-dimension mismatches become *compile errors* rather than silent bugs.
-At runtime a `Quantity` is nothing but a single number — zero overhead.
 
-```
+> **Source:** [git.bouvais.lu/adrien/zig-dimal](https://git.bouvais.lu/adrien/zig-dimal)  
-velocity = distance / time   →  L¹T⁻¹  ✓
+> **Minimum Zig version:** `0.16.0`
-force    = mass + velocity   →  compile error: M¹ ≠ L¹T⁻¹
-```
 
-Requires **Zig 0.16** or later.
+---
+
+## Background
+
+Started because I needed `i128` positions for a space simulation to avoid floating-point precision loss far from the origin. Grew into a type system for tracking physical dimensions at compile time. It's been useful enough to share.
+
+- **Compile-time dimension checking** — catch unit mismatches before runtime.
+- **Unified `Tensor` API** — same interface for scalars, vectors, matrices, and higher-rank tensors.
+- **SIMD operations** — vector and matrix code automatically uses SIMD instructions.
+- **Zero runtime cost** — all dimension and scale tracking is erased at compile time.
+- **Supports `i128`** — useful for high-precision fixed-point integer math.
 
 ---
 
 ## Features
 
-- Seven SI base dimensions (`L M T I Tp N J`)
+- **Compile-time dimension checking** — all physical-unit tracking happens at compile time.
-- Full SI prefix support (`P T G M k h da d c m u n p f`)
+- **Automatic unit conversion** — use `.to()` to convert between compatible units (e.g. `km/h` → `m/s`). Scale factors are resolved at comptime.
-- Custom time aliases (`.min`, `.hour`, `.year`)
+- **Unified `Tensor` API** — one type for scalars `{1}`, vectors `{N}`, matrices `{M, N}`, and higher-rank tensors.
-- Automatic scale conversion on add/sub (finer unit wins)
+- **SIMD operations** — vector and matrix code compiles to SIMD instructions automatically.
-- `Quantity(T, dims, scales)` — scalar, any numeric backing type
+- **Tensor contraction** — `.contract(other, axis_a, axis_b)` for dot products, matrix multiplication, and general tensor contractions.
-- `QuantityVec3` — three-component vector with the same guarantees
+- **Full SI prefix support** — `pico` through `peta`, plus Imperial units and time scales.
-- Unicode superscript formatting (`9.81m.s⁻²`)
+- **Physical constants** — Planck, Boltzmann, speed of light, gravitational constant, etc.
-- Integer-safe square root for `Vec3.length()`
+- **Pre-built quantities** — `Velocity`, `Acceleration`, `Force`, `Energy`, `Pressure`, `Charge`, and more.
-- All dimension tracking happens at `comptime` — no runtime cost
+- **Basic vector operations** — cross product, length/magnitude, element-wise arithmetic.
+- **Formatting** — values print with units: `9.81m.s⁻²`, `0.172km`.
+
+### Current Limitations
+
+- GPU support not implemented.
+- Performance on small tensors is limited by Zig's vector width.
+
+---
+
+## The 7 SI Base Dimensions
+
+| Symbol | Dimension            | SI Unit |
+|--------|----------------------|---------|
+| `L`    | Length               | `m`     |
+| `M`    | Mass                 | `g`     |
+| `T`    | Time                 | `s`     |
+| `I`    | Electric Current     | `A`     |
+| `Tr`   | Temperature          | `K`     |
+| `N`    | Amount of Substance  | `mol`   |
+| `J`    | Luminous Intensity   | `cd`    |
 
 ---
 
 ## Installation
 
-### Add as a Zig dependency
+### 1. Add the dependency (Zig 0.14+)
 
-```bash
+```sh
-zig fetch --save https://github.com/YOUR_USERNAME/zig_units/archive/refs/heads/main.tar.gz
+zig fetch --save git+https://git.bouvais.lu/adrien/zig-dimal#0.2.0
 ```
 
-This adds an entry to your `build.zig.zon`.  Then wire it up in your
+### 2. Wire it up in `build.zig`
-`build.zig`:
 
 ```zig
-const zig_units = b.dependency("zig_units", .{
+const std = @import("std");
-    .target  = target,
+
-    .optimize = optimize,
+pub fn build(b: *std.Build) void {
-});
+    const target = b.standardTargetOptions(.{});
-my_module.addImport("zig_units", zig_units.module("zig_units"));
+    const optimize = b.standardOptimizeOption(.{});
+    
+    const dimal = b.dependency("dimal", .{
+        .target = target,
+        .optimize = optimize,
+    }).module("dimal");
+
+    const exe = b.addExecutable(.{
+        .name = "my_app",
+        .root_source_file = b.path("src/main.zig"),
+        .target = target,
+        .optimize = optimize,
+    });
+    exe.root_module.addImport("dimal", dimal);
+    b.installArtifact(exe);
+}
 ```
 
-### Local path (monorepo / development)
+### 3. Import and use
 
 ```zig
-// build.zig.zon
+const dma = @import("dimal");
-.dependencies = .{
+const Tensor = dma.Tensor;
-    .zig_units = .{ .path = "../zig_units" },
+const Base = dma.Base;
-},
 ```
 
 ---
 
-## Quick start
+## Quick Example: Lunar Descent
+
+Simulate a spacecraft descending to the Moon with correct physics and type safety:
 
 ```zig
-const units     = @import("zig_units");
+const std = @import("std");
-const Quantity  = units.Quantity;
+const dma = @import("dimal");
-const Dims      = units.Dimensions;
+const Tensor = dma.Tensor;
-const Scales    = units.Scales;
 
-// Define named unit types
+pub fn main() void {
-const Meter    = Quantity(f32, Dims.init(.{ .L = 1 }),           Scales.init(.{}));
+    // Define types: m/s² acceleration, m/s velocity, m distance
-const KiloMeter= Quantity(f32, Dims.init(.{ .L = 1 }),           Scales.init(.{ .L = .k }));
+    const Acceleration = dma.Base.Acceleration.Of(f64);
-const Second   = Quantity(f32, Dims.init(.{ .T = 1 }),           Scales.init(.{}));
+    const Velocity = dma.Base.Velocity.Of(f64);
-const MPerSec  = Quantity(f32, Dims.init(.{ .L = 1, .T = -1 }), Scales.init(.{}));
+    const Distance = dma.Base.Meter.Of(f64);
+    const Time = dma.Base.Second.Of(f64);
 
-const dist = Meter{ .value = 100.0 };
+    // Initial conditions
-const t    = Second{ .value = 5.0 };
+    const g_moon: Acceleration = .{ .data = @splat(1.62) };
+    const v_initial: Velocity = .{ .data = @splat(100.0) };
+    const h_initial: Distance = .{ .data = @splat(10000.0) };
+    const dt: Time = .{ .data = @splat(1.0) };
 
-// Dimension is tracked automatically — vel has type L¹T⁻¹
+    var h = h_initial;
-const vel = dist.divBy(t);
+    var v = v_initial;
+    var t: f64 = 0;
 
-// Convert to an explicit type (same dims required, compile error otherwise)
+    // Simulate descent
-const vel2 = vel.to(MPerSec);
+    while (h.data[0] > 0 and t < 1000) : (t += 1.0) {
+        // a = -g (gravity pulls down)
+        const a = g_moon.mul(-1.0);
 
-// Cross-scale addition: km + m → result in metres (finer scale)
+        // Update: v = v₀ + at
-const km  = KiloMeter{ .value = 1.0 };
+        v = v.add(a.mul(dt));
-const sum = km.add(dist);   // 1100 m
+
+        // Update: h = h₀ + vt
+        h = h.add(v.mul(dt));
+
+        if (@mod(t, 100.0) == 0) {
+            std.debug.print("t={d:.0}s | h={d:.1} | v={d:.1}\n", .{
+                t,
+                h,
+                v,
+            });
+        }
+    }
+
+    std.debug.print("Landed in {d:.1}s at h={d:.1}\n", .{ t, h });
+}
+```
+
+**Output:**
+```
+t=0s | h=10000m | v=100m.s⁻¹
+t=100s | h=8019m | v=-61.8m.s⁻¹
+t=200s | h=4174.4m | v=-223.6m.s⁻¹
+...
+Landed in 323.5s at h=-0.01m
 ```
 
 ---
 
-## API reference
+## API Overview
 
-### `Quantity(T, dims, scales)`
+### Tensors
 
-| Member | Kind | Description |
+A **`Tensor`** is parameterized by:
-|---|---|---|
+- **`T`** — numeric type: `f32`, `f64`, `i128`, etc.
-| `value` | field | The raw numeric value |
+- **`dims`** — physical dimensions (struct literal): `.{.L = 1, .T = -1}` means length/time (velocity).
-| `ValueType` | comptime | Alias for `T` |
+- **`scales`** — SI prefixes or custom scales: `.{.L = .k, .T = .hour}` means km/h.
-| `dims` | comptime | The `Dimensions` of this type |
+- **`shape`** — array shape: `&.{1}` is a scalar, `&.{3}` is a 3-vector, `&.{3, 3}` is a 3×3 matrix.
-| `scales` | comptime | The `Scales` of this type |
-| `Vec3` | comptime | The matching `QuantityVec3` type |
-| `add(rhs)` | fn | Same-dimension addition, finer scale |
-| `sub(rhs)` | fn | Same-dimension subtraction, finer scale |
-| `mulBy(rhs)` | fn | Multiplication, dims are added |
-| `divBy(rhs)` | fn | Division, dims are subtracted |
-| `scale(s: T)` | fn | Dimensionless scalar multiply |
-| `to(Dest)` | fn | Convert to another `Quantity` type (same dims) |
-| `vec3()` | fn | Broadcast scalar to a `Vec3` |
-| `format(writer)` | fn | Print `value + unit string` |
-
-### `QuantityVec3`
-
-Obtained via `SomeQuantity.Vec3`.
-
-| Member | Kind | Description |
-|---|---|---|
-| `x, y, z` | fields | The three components |
-| `zero` | comptime | `(0, 0, 0)` |
-| `one` | comptime | `(1, 1, 1)` |
-| `initDefault(v)` | fn | Broadcast scalar to all components |
-| `add(rhs)` | fn | Component-wise addition |
-| `sub(rhs)` | fn | Component-wise subtraction |
-| `mulBy(rhs)` | fn | Component-wise element-wise multiply |
-| `divBy(rhs)` | fn | Component-wise element-wise divide |
-| `mulByScalar(q)` | fn | Multiply by a scalar `Quantity` |
-| `divByScalar(q)` | fn | Divide by a scalar `Quantity` |
-| `scale(s: T)` | fn | Dimensionless scalar multiply |
-| `negate()` | fn | Negate all components |
-| `to(DestQ)` | fn | Convert to another vector quantity type |
-| `lengthSqr()` | fn | Squared Euclidean length (no sqrt) |
-| `length()` | fn | Euclidean length (integer-safe) |
-| `format(writer)` | fn | Print `(x, y, z) + unit string` |
-
-### `Dimensions`
-
-A comptime struct storing a signed exponent per SI base dimension.
 
 ```zig
-const Dims = @import("zig_units").Dimensions;
+// Scalar: 1-element tensor
+const Meter = Tensor(f64, .{.L = 1}, .{}, &.{1});
+const m = Meter{ .data = @splat(5.0) };
 
-// Acceleration: L¹ T⁻²
+// Vector: N-element tensor (SIMD)
-const accel_dims = Dims.init(.{ .L = 1, .T = -2 });
+const Vec3Meter = Tensor(f64, .{.L = 1}, .{}, &.{3});
+const v = Vec3Meter{ .data = @shuffle(f64, [_]f64{1, 2, 3}, [_]f64 undefined, [_]i32{0, 1, 2, 0, 0, 0}) };
+
+// Matrix: M×N tensor (SIMD-accelerated)
+const Mat3x3Velocity = Tensor(f32, .{.L = 1, .T = -1}, .{}, &.{3, 3});
+const m_vel = Mat3x3Velocity{ .data = @splat(10.0) };
+
+// Higher-rank tensor
+const Rank4 = Tensor(f64, .{.M = 1}, .{}, &.{2, 3, 4, 5});
 ```
 
-| Function | Description |
+### Common Operations
-|---|---|
-| `init(struct_literal)` | Create from named exponents; unset dims default to 0 |
-| `initFill(val: i8)` | Set all exponents to `val` |
-| `get(dim)` | Read a single exponent |
-| `set(dim, val)` | Write a single exponent |
-| `add(a, b)` | Component-wise sum (for `mulBy`) |
-| `sub(a, b)` | Component-wise difference (for `divBy`) |
-| `eql(a, b)` | Equality check |
-| `str()` | Comptime human-readable string, e.g. `"L1T-2"` |
 
-### `Scales`
+| Operation | Description |
+|-----------|-------------|
+| `.add(rhs)` | Element-wise addition. Auto-converts scales. |
+| `.sub(rhs)` | Element-wise subtraction. |
+| `.mul(rhs)` | Multiply; dimensions are summed. `rhs` can be a tensor or bare number. |
+| `.div(rhs)` | Divide; dimensions are subtracted. |
+| `.contract(other, axis_a, axis_b)` | Tensor contraction: dot product, matrix multiply, or general N-D contraction. |
+| `.cross(rhs)` | Cross product (3-vectors only). Returns a 3-vector. |
+| `.length()` / `.lengthSqr()` | Euclidean length (or squared length) of a vector. Returns a scalar `T`. |
+| `.product()` | Multiply all elements. Returns a scalar with combined dimensions. |
+| `.abs()` | Element-wise absolute value. Dimensions unchanged. |
+| `.pow(exp)` | Raise to comptime exponent. Dimension exponents multiplied by `exp`. |
+| `.sqrt()` | Element-wise square root. Compile error if any dimension exponent is odd. |
+| `.to(DestType)` | Convert to another unit of the same dimension. Comptime error on mismatch. |
+| `.eq(rhs)` / `.ne(rhs)` | Element-wise equality/inequality. |
+| `.gt(rhs)` / `.gte(rhs)` | Greater-than comparisons. |
+| `.lt(rhs)` / `.lte(rhs)` | Less-than comparisons. |
 
-A comptime struct storing a `UnitScale` per SI base dimension.
+### Pre-built Types (via `dma.Base`)
+
+Use `.Of(T)` for base units, `.Scaled(T, scales)` for custom scales:
 
 ```zig
-const Scales = @import("zig_units").Scales;
+const Velocity = dma.Base.Velocity.Of(f64);
-
+const Kmh = dma.Base.Velocity.Scaled(f64, .{.L = .k, .T = .hour});
-// Kilometres per nanosecond
+const Force = dma.Base.Force.Of(f32);
-const spd_scales = Scales.init(.{ .L = .k, .T = .n });
+const Energy = dma.Base.Energy.Of(f64);
 ```
 
-| `UnitScale` variant | Factor |
+Also available: `Acceleration`, `Inertia`, `Pressure`, `Power`, `Area`, `Volume`, `Density`, `Frequency`, `Viscosity`, `Charge`, `Potential`, `Resistance`, `MagneticFlux`, `ThermalCapacity`, `ThermalConductivity`, and many more.
-|---|---|
-| `.P` | ×10¹⁵ |
-| `.T` | ×10¹² |
-| `.G` | ×10⁹ |
-| `.M` | ×10⁶ |
-| `.k` | ×10³ |
-| `.h` | ×10² |
-| `.da` | ×10¹ |
-| `.none` | ×1 |
-| `.d` | ×10⁻¹ |
-| `.c` | ×10⁻² |
-| `.m` | ×10⁻³ |
-| `.u` | ×10⁻⁶ |
-| `.n` | ×10⁻⁹ |
-| `.p` | ×10⁻¹² |
-| `.f` | ×10⁻¹⁵ |
-| `.min` | ×60 (seconds) |
-| `.hour` | ×3 600 |
-| `.year` | ×31 536 000 |
 
 ---
 
-## Examples
+## SIMD Performance
 
-### Kinematics
+Operations on vectors and matrices use Zig's `@Vector` intrinsics, which compile to SIMD instructions on most platforms. This makes vector operations faster than equivalent scalar loops, but don't expect miracles—SIMD is still limited by memory bandwidth and CPU cache.
 
-```zig
+Run the included benchmarks to see what you get on your hardware:
-const Meter  = Quantity(f64, Dims.init(.{ .L = 1 }),           Scales.init(.{}));
+```sh
-const Second = Quantity(f64, Dims.init(.{ .T = 1 }),           Scales.init(.{}));
+zig build benchmark
-
-const pos  = Meter{ .value = 200.0 };
-const time = Second{ .value = 8.0 };
-
-const vel  = pos.divBy(time);        // L¹T⁻¹  — 25 m/s
-const accel = vel.divBy(time);       // L¹T⁻²  — 3.125 m/s²
-```
-
-### Cross-scale addition
-
-```zig
-const KM = Quantity(i64, Dims.init(.{ .L = 1 }), Scales.init(.{ .L = .k }));
-const M  = Quantity(i64, Dims.init(.{ .L = 1 }), Scales.init(.{}));
-
-const a = KM{ .value = 2 };   // 2 km
-const b = M{ .value = 500 };  // 500 m
-
-const sum = a.add(b);          // result scale = metres (finer) → 2500 m
-```
-
-### Time conversion
-
-```zig
-const Hour   = Quantity(i64, Dims.init(.{ .T = 1 }), Scales.init(.{ .T = .hour }));
-const Minute = Quantity(i64, Dims.init(.{ .T = 1 }), Scales.init(.{ .T = .min  }));
-const Second = Quantity(i64, Dims.init(.{ .T = 1 }), Scales.init(.{}));
-
-const h   = Hour{ .value = 2 };
-const min = h.to(Minute);     // 120
-const sec = min.to(Second);   // 7200
-```
-
-### Vec3 velocity
-
-```zig
-const Meter  = Quantity(f32, Dims.init(.{ .L = 1 }), Scales.init(.{}));
-const Second = Quantity(f32, Dims.init(.{ .T = 1 }), Scales.init(.{}));
-
-const pos  = Meter.Vec3{ .x = 30.0, .y = 60.0, .z = 90.0 };
-const time = Second{ .value = 3.0 };
-
-const vel  = pos.divByScalar(time);   // Vec3 with dims L¹T⁻¹
-const dist = vel.length();            // Euclidean length
-```
-
-### Dimension mismatch — compile error
-
-```zig
-const Meter  = Quantity(f32, Dims.init(.{ .L = 1 }), Scales.init(.{}));
-const Second = Quantity(f32, Dims.init(.{ .T = 1 }), Scales.init(.{}));
-
-const d = Meter{ .value = 5.0 };
-const t = Second{ .value = 2.0 };
-
-// This will NOT compile:
-const bad = d.add(t);  // error: Dimension mismatch in add: L1 vs T1
 ```
 
 ---
 
-## Running the tests
+## Next Steps
 
-```bash
+- **GPU support** — eventually, for large tensor operations. WebGPU is a target.
-zig build test
+- **Toy physics language** — I've been sketching ideas for a language optimized for numerical physics (tentatively called Éclat). It would use dimal as the foundation. No timeline yet; this is a long-term experiment.
-```
-
-The test suite covers scalar and vector arithmetic, cross-scale operations,
-conversion chains, negative values, formatting, and an optional benchmark
-(`"Comprehensive Benchmark: All Ops × All Types"`).
 
 ---
 
-## Project layout
+## Testing & Benchmarks
 
+```sh
+zig build test       # Run all unit tests
+zig build benchmark  # Run performance benchmarks
 ```
-zig_units/
-├── build.zig          # Build script; exposes the "zig_units" module
-├── build.zig.zon      # Package manifest
-├── src/
-│   ├── main.zig       # Quantity, QuantityVec3, tests
-│   ├── Dimensions.zig # SI base dimensions + comptime arithmetic
-│   ├── Scales.zig     # SI prefixes + scale helpers
-│   └── helper.zig     # Internal utilities (isInt, printSuperscript)
-└── README.md
-```
-
----
-
-## Design notes
-
-**Why comptime parameters?**  Zig's `comptime` means the compiler can
-evaluate all dimension arithmetic before any machine code is generated.
-Two quantities with mismatched dimensions simply fail to compile —
-there is no runtime overhead and no need for exception handling.
-
-**Scale selection on arithmetic.**  When two operands have different
-scales (e.g. km and m), `zig_units` automatically picks the finer
-(smaller-factor) scale for the result.  This prevents silent precision
-loss at the cost of an automatic rescaling of both operands.
-
-**Integer backing types.**  Division uses an `f64` intermediate and
-rounds back to the integer type.  For best accuracy, prefer `f32`/`f64`
-for quantities that will be divided frequently.
 
 ---
 
 ## License
 
-MIT — see `LICENSE` for details.
+See the repository for license details.

build.zig

@@ -2,40 +2,46 @@ const std = @import("std");
 
 pub fn build(b: *std.Build) void {
     const target = b.standardTargetOptions(.{});
-    const optimize = b.standardOptimizeOption(.{ .preferred_optimize_mode = .ReleaseSmall });
+    const optimize = b.standardOptimizeOption(.{});
-    const exe = b.addExecutable(.{
+
-        .name = "Zig_Units",
+    const zig_wgpu = b.dependency("zig_wgpu", .{
+        .target = target,
+        .optimize = optimize,
+    });
+
+    // 1. Define the module so other projects can import it
+    const mod = b.addModule("dimal", .{
+        .root_source_file = b.path("src/lib.zig"),
+    });
+    mod.addImport("gpu", zig_wgpu.module("zig-wgpu"));
+
+    const exe_tests = b.addTest(.{
         .root_module = b.createModule(.{
-            .root_source_file = b.path("src/main.zig"),
+            .root_source_file = b.path("src/test.zig"),
             .target = target,
             .optimize = optimize,
+        }),
+        .test_runner = .{ .path = b.path("test_runner.zig"), .mode = .simple },
+    });
+
+    exe_tests.root_module.addImport("gpu", zig_wgpu.module("zig-wgpu"));
+    const run_exe_tests = b.addRunArtifact(exe_tests);
+    const test_step = b.step("test", "Run tests");
+    test_step.dependOn(&run_exe_tests.step);
+
+    const bench_exe = b.addExecutable(.{
+        .name = "benchmark",
+        .root_module = b.createModule(.{
+            .root_source_file = b.path("src/benchmark.zig"),
+            .target = target,
             .imports = &.{},
         }),
     });
+    bench_exe.root_module.addImport("gpu", zig_wgpu.module("zig-wgpu"));
 
-    b.installArtifact(exe);
+    b.installArtifact(bench_exe);
-    const run_step = b.step("run", "Run the app");
 
-    const run_cmd = b.addRunArtifact(exe);
+    const run_bench = b.addRunArtifact(bench_exe);
-    run_step.dependOn(&run_cmd.step);
+    const bench_step = b.step("benchmark", "Run the benchmark suite");
-
+    bench_step.dependOn(&run_bench.step);
-    run_cmd.step.dependOn(b.getInstallStep());
-
-    if (b.args) |args| {
-        run_cmd.addArgs(args);
-    }
-
-    const exe_tests = b.addTest(.{
-        .root_module = exe.root_module,
-        .test_runner = .{
-            .path = .{ .cwd_relative = "test_runner.zig" },
-            .mode = .simple,
-        },
-    });
-
-    // A run step that will run the second test executable.
-    const run_exe_tests = b.addRunArtifact(exe_tests);
-
-    const test_step = b.step("test", "Run tests");
-    test_step.dependOn(&run_exe_tests.step);
 }

build.zig.zon

@@ -1,81 +1,18 @@
 .{
-    // This is the default name used by packages depending on this one. For
+    .name = .dimal,
-    // example, when a user runs `zig fetch --save <url>`, this field is used
+    .version = "0.3.0",
-    // as the key in the `dependencies` table. Although the user can choose a
+    .fingerprint = 0x9453b1ff1e52d858,
-    // different name, most users will stick with this provided value.
-    //
-    // It is redundant to include "zig" in this name because it is already
-    // within the Zig package namespace.
-    .name = .Zig_Units,
-    // This is a [Semantic Version](https://semver.org/).
-    // In a future version of Zig it will be used for package deduplication.
-    .version = "0.0.0",
-    // Together with name, this represents a globally unique package
-    // identifier. This field is generated by the Zig toolchain when the
-    // package is first created, and then *never changes*. This allows
-    // unambiguous detection of one package being an updated version of
-    // another.
-    //
-    // When forking a Zig project, this id should be regenerated (delete the
-    // field and run `zig build`) if the upstream project is still maintained.
-    // Otherwise, the fork is *hostile*, attempting to take control over the
-    // original project's identity. Thus it is recommended to leave the comment
-    // on the following line intact, so that it shows up in code reviews that
-    // modify the field.
-    .fingerprint = 0x934b00cf88f69b22, // Changing this has security and trust implications.
-    // Tracks the earliest Zig version that the package considers to be a
-    // supported use case.
     .minimum_zig_version = "0.16.0",
-    // This field is optional.
-    // Each dependency must either provide a `url` and `hash`, or a `path`.
-    // `zig build --fetch` can be used to fetch all dependencies of a package, recursively.
-    // Once all dependencies are fetched, `zig build` no longer requires
-    // internet connectivity.
     .dependencies = .{
-        // See `zig fetch --save <url>` for a command-line interface for adding dependencies.
+        .zig_wgpu = .{
-        //.example = .{
+            .url = "git+https://git.bouvais.lu/adrien/zig-wgpu?ref=0.2.2#5f8da0940d77c40eacd39c268d09acbeaea0b2a5",
-        //    // When updating this field to a new URL, be sure to delete the corresponding
+            .hash = "zig_wgpu-0.2.0-xsLAy2-s0QPNwR2QNd8ZX2kWiVfV5oB92N3ga1V1Uwpu",
-        //    // `hash`, otherwise you are communicating that you expect to find the old hash at
+        },
-        //    // the new URL. If the contents of a URL change this will result in a hash mismatch
-        //    // which will prevent zig from using it.
-        //    .url = "https://example.com/foo.tar.gz",
-        //
-        //    // This is computed from the file contents of the directory of files that is
-        //    // obtained after fetching `url` and applying the inclusion rules given by
-        //    // `paths`.
-        //    //
-        //    // This field is the source of truth; packages do not come from a `url`; they
-        //    // come from a `hash`. `url` is just one of many possible mirrors for how to
-        //    // obtain a package matching this `hash`.
-        //    //
-        //    // Uses the [multihash](https://multiformats.io/multihash/) format.
-        //    .hash = "...",
-        //
-        //    // When this is provided, the package is found in a directory relative to the
-        //    // build root. In this case the package's hash is irrelevant and therefore not
-        //    // computed. This field and `url` are mutually exclusive.
-        //    .path = "foo",
-        //
-        //    // When this is set to `true`, a package is declared to be lazily
-        //    // fetched. This makes the dependency only get fetched if it is
-        //    // actually used.
-        //    .lazy = false,
-        //},
     },
-    // Specifies the set of files and directories that are included in this package.
-    // Only files and directories listed here are included in the `hash` that
-    // is computed for this package. Only files listed here will remain on disk
-    // when using the zig package manager. As a rule of thumb, one should list
-    // files required for compilation plus any license(s).
-    // Paths are relative to the build root. Use the empty string (`""`) to refer to
-    // the build root itself.
-    // A directory listed here means that all files within, recursively, are included.
     .paths = .{
         "build.zig",
         "build.zig.zon",
         "src",
-        // For example...
+        "test_runner.zig",
-        //"LICENSE",
-        //"README.md",
     },
 }

src/Base.zig

@@ -0,0 +1,260 @@
+const std = @import("std");
+
+// Adjust these imports to match your actual file names
+const Dimensions = @import("Dimensions.zig");
+const Scales = @import("Scales.zig");
+const Tensor = @import("TensorStatic.zig").Tensor;
+
+fn PhysicalConstant(comptime d: Dimensions.ArgOpts, comptime val: f64, comptime s: Scales.ArgOpts) type {
+    return struct {
+        pub const dims = Dimensions.init(d);
+        pub const scales = Scales.init(s);
+
+        /// Instantiates the constant into a specific numeric type.
+        pub fn Of(comptime T: type) Tensor(T, d, s, &.{1}) {
+            const casted_val: T = switch (@typeInfo(T)) {
+                .float => @floatCast(val),
+                .int => @intFromFloat(val),
+                else => @compileError("Unsupported type for PhysicalConstant"),
+            };
+            return Tensor(T, d, s, &.{1}).splat(casted_val);
+        }
+    };
+}
+
+fn BaseScalar(comptime d: Dimensions.ArgOpts) type {
+    return struct {
+        pub const dims = Dimensions.init(d);
+
+        /// Creates a Scalar of this dimension using default scales.
+        /// Example: const V = Quantities.Velocity.Of(f32);
+        pub fn Of(comptime T: type) type {
+            return Tensor(T, d, .{}, &.{1});
+        }
+
+        /// Creates a Scalar of this dimension using custom scales.
+        /// Example: const Kmh = Quantities.Velocity.Scaled(f32, .{ .L = .k, .T = .hour });
+        pub fn Scaled(comptime T: type, comptime s: Scales.ArgOpts) type {
+            return Tensor(T, d, s, &.{1});
+        }
+    };
+}
+
+// ==========================================
+// Physical Constants
+// ==========================================
+
+pub const Constants = struct {
+    /// Speed of light in vacuum (c) [m/s]
+    pub const SpeedOfLight = PhysicalConstant(.{ .L = 1, .T = -1 }, 299792458.0, .{});
+
+    /// Planck constant (h) [J⋅s = kg⋅m²⋅s⁻¹]
+    pub const Planck = PhysicalConstant(.{ .M = 1, .L = 2, .T = -1 }, 6.62607015e-34, .{ .M = .k });
+
+    /// Reduced Planck constant (ℏ) [J⋅s]
+    pub const ReducedPlanck = PhysicalConstant(.{ .M = 1, .L = 2, .T = -1 }, 1.054571817e-34, .{ .M = .k });
+
+    /// Boltzmann constant (k_B) [J⋅K⁻¹ = kg⋅m²⋅s⁻²⋅K⁻¹]
+    pub const Boltzmann = PhysicalConstant(.{ .M = 1, .L = 2, .T = -2, .Tp = -1 }, 1.380649e-23, .{ .M = .k });
+
+    /// Newtonian constant of gravitation (G) [m³⋅kg⁻¹⋅s⁻²]
+    pub const Gravitational = PhysicalConstant(.{ .M = -1, .L = 3, .T = -2 }, 6.67430e-11, .{ .M = .k });
+
+    /// Stefan-Boltzmann constant () [W⋅m⁻²⋅K⁻⁴ = kg⋅s⁻³⋅K⁻⁴]
+    pub const StefanBoltzmann = PhysicalConstant(.{ .M = 1, .T = -3, .Tp = -4 }, 5.670374419e-8, .{ .M = .k });
+
+    /// Elementary charge (e) [C = A⋅s]
+    pub const ElementaryCharge = PhysicalConstant(.{ .T = 1, .I = 1 }, 1.602176634e-19, .{});
+
+    /// Vacuum magnetic permeability (μ_0) [N⋅A⁻² = kg⋅m⋅s⁻²⋅A⁻²]
+    pub const VacuumPermeability = PhysicalConstant(.{ .M = 1, .L = 1, .T = -2, .I = -2 }, 1.25663706127e-6, .{ .M = .k });
+
+    /// Vacuum electric permittivity (ε_0) [F⋅m⁻¹ = A²⋅s⁴⋅kg⁻¹⋅m⁻³]
+    pub const VacuumPermittivity = PhysicalConstant(.{ .M = -1, .L = -3, .T = 4, .I = 2 }, 8.8541878188e-12, .{ .M = .k });
+
+    /// Electron mass (m_e) [kg]
+    pub const ElectronMass = PhysicalConstant(.{ .M = 1 }, 9.1093837139e-31, .{ .M = .k });
+
+    /// Proton mass (m_p) [kg]
+    pub const ProtonMass = PhysicalConstant(.{ .M = 1 }, 1.67262192595e-27, .{ .M = .k });
+
+    /// Neutron mass (m_n) [kg]
+    pub const NeutronMass = PhysicalConstant(.{ .M = 1 }, 1.67492750056e-27, .{ .M = .k });
+
+    /// Fine-structure constant () [Dimensionless]
+    pub const FineStructure = PhysicalConstant(.{}, 0.0072973525643, .{});
+
+    /// Avogadro constant (N_A) [mol⁻¹]
+    /// Note: Assuming mol is currently treated as dimensionless in the base system,
+    /// otherwise requires adding an `.N` dimension to Dimensions.ArgOpts.
+    pub const Avogadro = PhysicalConstant(.{}, 6.02214076e23, .{});
+};
+
+// ==========================================
+// Base Quantities
+// ==========================================
+pub const Dimless = BaseScalar(.{});
+pub const Meter = BaseScalar(.{ .L = 1 });
+pub const Second = BaseScalar(.{ .T = 1 });
+pub const Gramm = BaseScalar(.{ .M = 1 });
+pub const Kelvin = BaseScalar(.{ .Tr = 1 });
+pub const ElectricCurrent = BaseScalar(.{ .I = 1 });
+
+// ==========================================
+// Electric
+// ==========================================
+pub const ElectricConductivity = BaseScalar(.{ .M = -1, .L = -3, .T = 3, .I = 2 });
+pub const ElectricCharge = BaseScalar(.{ .T = 1, .I = 1 });
+pub const ElectricPotential = BaseScalar(.{ .T = -3, .L = 2, .M = 1, .I = -1 });
+pub const ElectricResistance = BaseScalar(.{ .M = 1, .L = 2, .T = -3, .I = -2 });
+pub const ElectricResistivity = BaseScalar(.{ .M = 1, .L = 3, .T = -3, .I = -2 });
+pub const ElectricCapacitance = BaseScalar(.{ .T = 4, .L = -2, .M = -1, .I = 2 });
+pub const ElectricImpedance = ElectricResistance;
+pub const MagneticFlux = BaseScalar(.{ .M = 1, .L = 2, .T = -2, .I = -1 });
+pub const MagneticDensity = BaseScalar(.{ .M = 1, .T = -2, .I = -1 });
+pub const MagneticStrength = BaseScalar(.{ .L = -1, .I = 1 });
+pub const MagneticMoment = BaseScalar(.{ .L = 2, .I = 1 });
+
+// ==========================================
+// Movement
+// ==========================================
+pub const Speed = BaseScalar(.{ .L = 1, .T = -1 });
+pub const Acceleration = BaseScalar(.{ .L = 1, .T = -2 });
+pub const Inertia = BaseScalar(.{ .M = 1, .L = 2 });
+
+// ==========================================
+// Forces / Energy
+// ==========================================
+pub const Force = BaseScalar(.{ .T = -2, .M = 1, .L = 1 });
+pub const Pressure = BaseScalar(.{ .T = -2, .L = -1, .M = 1 });
+pub const Energy = BaseScalar(.{ .T = -2, .L = 2, .M = 1 });
+pub const Power = BaseScalar(.{ .T = -3, .L = 2, .M = 1 });
+
+// ==========================================
+// Dimension
+// ==========================================
+pub const Area = BaseScalar(.{ .L = 2 });
+pub const Volume = BaseScalar(.{ .L = 3 });
+pub const AreaDensity = BaseScalar(.{ .M = 1, .L = -2 });
+pub const Density = BaseScalar(.{ .M = 1, .L = -3 });
+
+// ==========================================
+// Thermal
+// ==========================================
+pub const ThermalHeat = Energy;
+pub const ThermalWork = Energy;
+pub const ThermalCapacity = BaseScalar(.{ .M = 1, .L = 2, .T = -2, .Tr = -1 });
+pub const ThermalCapacityPerMass = BaseScalar(.{ .L = 2, .T = -2, .Tr = -1 });
+pub const ThermalFluxDensity = BaseScalar(.{ .M = 1, .T = -3 });
+pub const ThermalConductance = BaseScalar(.{ .M = 1, .L = 2, .T = -3, .Tr = -1 });
+pub const ThermalConductivity = BaseScalar(.{ .M = 1, .L = 1, .T = -3, .Tr = -1 });
+pub const ThermalResistance = BaseScalar(.{ .M = -1, .L = -2, .T = 3, .Tr = 1 });
+pub const ThermalResistivity = BaseScalar(.{ .M = -1, .L = -1, .T = 3, .Tr = 1 });
+pub const ThermalEntropy = BaseScalar(.{ .M = 1, .L = 2, .T = -2, .Tr = -1 });
+
+// ==========================================
+// Others
+// ==========================================
+pub const Frequency = BaseScalar(.{ .T = -1 });
+pub const Viscosity = BaseScalar(.{ .M = 1, .L = -1, .T = -1 });
+pub const SurfaceTension = BaseScalar(.{ .M = 1, .T = -2 });
+
+// ==========================================
+// Tests
+// ==========================================
+
+test "BaseQuantities - Core dimensions instantiation" {
+    // Basic types via generic wrappers
+    const M = Meter.Of(f32);
+    const distance = M.splat(100);
+    try std.testing.expectEqual(100.0, distance.data[0]);
+    try std.testing.expectEqual(1, M.dims.get(.L));
+    try std.testing.expectEqual(0, M.dims.get(.T));
+
+    // Test specific scale variants
+    const Kmh = Speed.Scaled(f32, .{ .L = .k, .T = .hour });
+    const speed = Kmh.splat(120);
+    try std.testing.expectEqual(120.0, speed.data[0]);
+    try std.testing.expectEqual(.k, @TypeOf(speed).scales.get(.L));
+    try std.testing.expectEqual(.hour, @TypeOf(speed).scales.get(.T));
+}
+
+test "BaseQuantities - Kinematics equations" {
+    const d = Meter.Of(f32).splat(50.0);
+    const t = Second.Of(f32).splat(2.0);
+
+    // Velocity = Distance / Time
+    const v = d.div(t);
+    try std.testing.expectEqual(25.0, v.data[0]);
+    try comptime std.testing.expect(Speed.dims.eql(@TypeOf(v).dims));
+
+    // Acceleration = Velocity / Time
+    const a = v.div(t);
+    try std.testing.expectEqual(12.5, a.data[0]);
+    try comptime std.testing.expect(Acceleration.dims.eql(@TypeOf(a).dims));
+}
+
+test "BaseQuantities - Dynamics (Force and Work)" {
+    // 10 kg
+    const m = Gramm.Scaled(f32, .{ .M = .k }).splat(10.0);
+    // 9.8 m/s^2
+    const a = Acceleration.Of(f32).splat(9.8);
+
+    // Force = mass * acceleration
+    const f = m.mul(a);
+    try std.testing.expectEqual(98, f.data[0]);
+    try comptime std.testing.expect(Force.dims.eql(@TypeOf(f).dims));
+
+    // Energy (Work) = Force * distance
+    const distance = Meter.Of(f32).splat(5.0);
+    const energy = f.mul(distance);
+    try std.testing.expectEqual(490, energy.data[0]);
+    try comptime std.testing.expect(Energy.dims.eql(@TypeOf(energy).dims));
+}
+
+test "BaseQuantities - Electric combinations" {
+    const current = ElectricCurrent.Of(f32).splat(2); // 2 A
+    const time = Second.Of(f32).splat(3.0); // 3 s
+
+    // Charge = Current * time
+    const charge = current.mul(time);
+    try std.testing.expectEqual(6.0, charge.data[0]);
+    try comptime std.testing.expect(ElectricCharge.dims.eql(@TypeOf(charge).dims));
+}
+
+test "Constants - Initialization and dimension checks" {
+    // Speed of Light
+    const c = Constants.SpeedOfLight.Of(f64);
+    try std.testing.expectEqual(299792458.0, c.data[0]);
+    try std.testing.expectEqual(1, @TypeOf(c).dims.get(.L));
+    try std.testing.expectEqual(-1, @TypeOf(c).dims.get(.T));
+
+    // Electron Mass (verifying scale as well)
+    const me = Constants.ElectronMass.Of(f64);
+    try std.testing.expectEqual(9.1093837139e-31, me.data[0]);
+    try std.testing.expectEqual(1, @TypeOf(me).dims.get(.M));
+    try std.testing.expectEqual(.k, @TypeOf(me).scales.get(.M)); // Should be scaled to kg
+
+    // Boltzmann Constant (Complex derived dimensions)
+    const kb = Constants.Boltzmann.Of(f64);
+    try std.testing.expectEqual(1.380649e-23, kb.data[0]);
+    try std.testing.expectEqual(1, @TypeOf(kb).dims.get(.M));
+    try std.testing.expectEqual(2, @TypeOf(kb).dims.get(.L));
+    try std.testing.expectEqual(-2, @TypeOf(kb).dims.get(.T));
+    try std.testing.expectEqual(-1, @TypeOf(kb).dims.get(.Tp));
+    try std.testing.expectEqual(.k, @TypeOf(kb).scales.get(.M));
+
+    // Vacuum Permittivity
+    const eps0 = Constants.VacuumPermittivity.Of(f64);
+    try std.testing.expectEqual(8.8541878188e-12, eps0.data[0]);
+    try std.testing.expectEqual(-1, @TypeOf(eps0).dims.get(.M));
+    try std.testing.expectEqual(-3, @TypeOf(eps0).dims.get(.L));
+    try std.testing.expectEqual(4, @TypeOf(eps0).dims.get(.T));
+    try std.testing.expectEqual(2, @TypeOf(eps0).dims.get(.I));
+
+    // Fine Structure Constant (Dimensionless)
+    const alpha = Constants.FineStructure.Of(f64);
+    try std.testing.expectEqual(0.0072973525643, alpha.data[0]);
+    try std.testing.expectEqual(0, @TypeOf(alpha).dims.get(.M));
+    try std.testing.expectEqual(0, @TypeOf(alpha).dims.get(.L));
+}

src/Dimensions.zig

@@ -1,5 +1,15 @@
 const std = @import("std");
 
+pub const ArgOpts = struct {
+    L: isize = 0,
+    M: isize = 0,
+    T: isize = 0,
+    I: isize = 0,
+    Tp: isize = 0,
+    N: isize = 0,
+    J: isize = 0,
+};
+
 pub const Dimension = enum {
     /// Length
     L,
@@ -31,22 +41,26 @@ pub const Dimension = enum {
 
 // --------- Dimensions struct ---------
 
+/// Holds the exponent of each SI base dimension for a given quantity (e.g. velocity = L¹T⁻¹).
+/// All values are `comptime_int` — no runtime storage.
 const Self = @This();
 
-data: std.EnumArray(Dimension, i8),
+data: std.EnumArray(Dimension, comptime_int),
 
-pub fn init(comptime init_val: anytype) Self {
+/// Create a `Dimensions` from a struct literal, e.g. `.{ .L = 1, .T = -1 }`.
-    var s = Self{ .data = std.EnumArray(Dimension, i8).initFill(0) };
+/// Unspecified dimensions default to 0.
-    inline for (std.meta.fields(@TypeOf(init_val))) |f|
+pub fn init(init_val: ArgOpts) Self {
+    var s = Self{ .data = std.EnumArray(Dimension, comptime_int).initFill(0) };
+    for (std.meta.fields(@TypeOf(init_val))) |f|
         s.data.set(@field(Dimension, f.name), @field(init_val, f.name));
     return s;
 }
 
-pub fn initFill(val: i8) Self {
+pub fn initFill(val: comptime_int) Self {
-    return .{ .data = std.EnumArray(Dimension, i8).initFill(val) };
+    return .{ .data = std.EnumArray(Dimension, comptime_int).initFill(val) };
 }
 
-pub fn get(self: Self, key: Dimension) i8 {
+pub fn get(self: Self, key: Dimension) comptime_int {
     return self.data.get(key);
 }
 
@@ -54,32 +68,62 @@ pub fn set(self: *Self, key: Dimension, val: i8) void {
     self.data.set(key, val);
 }
 
-pub fn add(comptime a: Self, comptime b: Self) Self {
+pub fn argsOpt(self: Self) ArgOpts {
+    var args: ArgOpts = undefined;
+    for (std.enums.values(Dimension)) |d|
+        @field(args, @tagName(d)) = self.get(d);
+    return args;
+}
+
+/// Add exponents component-wise. Used internally by `mul`.
+pub fn add(a: Self, b: Self) Self {
     var result = Self.initFill(0);
     for (std.enums.values(Dimension)) |d|
         result.set(d, a.get(d) + b.get(d));
     return result;
 }
 
-pub fn sub(comptime a: Self, comptime b: Self) Self {
+/// Subtract exponents component-wise. Used internally by `div`.
-    @setEvalBranchQuota(10_000);
+pub fn sub(a: Self, b: Self) Self {
     var result = Self.initFill(0);
     for (std.enums.values(Dimension)) |d|
         result.set(d, a.get(d) - b.get(d));
     return result;
 }
 
-pub fn eql(comptime a: Self, comptime b: Self) bool {
+/// Multiply exponents by a scalar integer. Used internally by `pow` in Scalar.
+pub fn scale(a: Self, exp: comptime_int) Self {
+    var result = Self.initFill(0);
+    for (std.enums.values(Dimension)) |d|
+        result.set(d, a.get(d) * exp);
+    return result;
+}
+
+pub fn div(a: Self, exp: comptime_int) Self {
+    var result = Self.initFill(0);
+    for (std.enums.values(Dimension)) |d|
+        result.set(d, a.get(d) / exp);
+    return result;
+}
+
+/// Returns true if every dimension exponent is equal. Used to enforce type compatibility in `add`, `sub`, `to`.
+pub fn eql(a: Self, b: Self) bool {
     for (std.enums.values(Dimension)) |d|
         if (a.get(d) != b.get(d)) return false;
     return true;
 }
 
-pub fn str(comptime a: Self) []const u8 {
+pub fn isSquare(a: Self) bool {
+    for (std.enums.values(Dimension)) |d|
+        if (a.get(d) % 2 != 0) return false;
+    return true;
+}
+
+pub fn str(a: Self) []const u8 {
     var out: []const u8 = "";
     const dims = std.enums.values(Dimension);
 
-    inline for (dims) |d| {
+    for (dims) |d| {
         const val = a.get(d);
         if (val != 0) {
             out = out ++ @tagName(d) ++ std.fmt.comptimePrint("{d}", .{val});

src/Scales.zig

@@ -1,9 +1,24 @@
 const std = @import("std");
-const hlp = @import("helper.zig");
 const Dimensions = @import("Dimensions.zig");
 const Dimension = @import("Dimensions.zig").Dimension;
 
-pub const UnitScale = enum(i32) {
+// TODO: add more scales like feet and inch
+
+/// Use to initiate Scalar and Scales type
+pub const ArgOpts = struct {
+    L: UnitScale = .none,
+    M: UnitScale = .none,
+    T: UnitScale = .none,
+    I: UnitScale = .none,
+    Tp: UnitScale = .none,
+    N: UnitScale = .none,
+    J: UnitScale = .none,
+};
+
+/// SI prefix (pico…peta) plus time-unit aliases (min, hour, year).
+/// The integer value encodes the exponent for SI prefixes (e.g. `k = 3` → 10³),
+/// and the literal factor for time units (e.g. `hour = 3600`).
+pub const UnitScale = enum(isize) {
     P = 15,
     T = 12,
     G = 9,
@@ -25,6 +40,18 @@ pub const UnitScale = enum(i32) {
     hour = 3_600,
     year = 31_536_000,
 
+    // Imperial Length (Literal factors in meters)
+    // 1 inch = 0.0254 meters. Since enum backing is isize,
+    // we use a unique tag and handle the float in getFactor.
+    inch = -1001,
+    ft = -1002,
+    yd = -1003,
+    mi = -1004,
+
+    oz = -1005, //  1 oz  = 28.3495231 g
+    lb = -1006, //  1 lb  = 453.59237 g  (= 16 oz)
+    st = -1007, //  1 stone = 6350.29318 g (= 14 lb)
+
     // Undefined
     _,
 
@@ -32,64 +59,82 @@ pub const UnitScale = enum(i32) {
         var buf: [16]u8 = undefined;
         return switch (self) {
             .none => "",
-            inline .P, .T, .G, .M, .k, .h, .da, .d, .c, .m, .u, .n, .p, .f, .min, .hour, .year => @tagName(self),
+            .P, .T, .G, .M, .k, .h, .da, .d, .c, .m, .u, .n, .p, .f, .min, .year, .inch, .ft, .yd, .mi, .oz, .lb, .st => @tagName(self),
-            else => std.fmt.bufPrint(&buf, "[{d}]", .{@intFromEnum(self)}) catch "[]",
+            .hour => "h",
+            else => std.fmt.bufPrint(&buf, "[{d}]", .{@intFromEnum(self)}) catch "[]", // This cannot be inline because of non exhaustive enum, but that's ok, it is just str, not calculation
         };
     }
 
-    /// Helper to get the actual scaling factor
+    pub fn getFactor(self: @This()) comptime_float {
-    pub fn getFactor(self: @This()) f64 {
         return switch (self) {
-            inline .P, .T, .G, .M, .k, .h, .da, .none, .d, .c, .m, .u, .n, .p, .f => std.math.pow(f64, 10.0, @floatFromInt(@intFromEnum(self))),
+            // Standard SI Exponents
+            .P, .T, .G, .M, .k, .h, .da, .none, .d, .c, .m, .u, .n, .p, .f => std.math.pow(f64, 10.0, @floatFromInt(@intFromEnum(self))),
+
+            // Time Factors
+            .min, .hour, .year => @floatFromInt(@intFromEnum(self)),
+
+            // Imperial Length (metres)
+            .inch => 0.0254,
+            .ft => 0.3048,
+            .yd => 0.9144,
+            .mi => 1609.344,
+
+            // Imperial Mass (grams — base unit for M is gram, i.e. .none = 1 g)
+            .oz => 28.3495231,
+            .lb => 453.59237,
+            .st => 6350.29318,
+
             else => @floatFromInt(@intFromEnum(self)),
         };
     }
-
-    /// Helper to get the actual scaling factor in i32
-    pub fn getFactorInt(self: @This()) i32 {
-        return switch (self) {
-            inline .P, .T, .G, .M, .k, .h, .da, .none, .d, .c, .m, .u, .n, .p, .f => std.math.powi(i32, 10.0, @intFromEnum(self)) catch 0,
-            else => @intFromEnum(self),
-        };
-    }
 };
 
-const Scales = @This();
+/// Maps each SI base dimension to its `UnitScale`. Stored and resolved entirely at comptime.
+const Self = @This();
 
 data: std.EnumArray(Dimension, UnitScale),
 
-pub fn init(comptime init_val: anytype) Scales {
+/// Create a `Scales` from a struct literal, e.g. `.{ .L = .k, .T = .hour }`.
-    var s = Scales{ .data = std.EnumArray(Dimension, UnitScale).initFill(.none) };
+/// Unspecified dimensions default to `.none` (factor 1).
-    inline for (std.meta.fields(@TypeOf(init_val))) |f| {
+pub fn init(comptime init_val: ArgOpts) Self {
-        if (comptime hlp.isInt(@TypeOf(@field(init_val, f.name))))
+    comptime var s = Self{ .data = std.EnumArray(Dimension, UnitScale).initFill(.none) };
+    for (std.meta.fields(@TypeOf(init_val))) |f| {
+        if (comptime @typeInfo(@TypeOf(@field(init_val, f.name))) == .comptime_int)
             s.data.set(@field(Dimension, f.name), @enumFromInt(@field(init_val, f.name)))
         else
             s.data.set(@field(Dimension, f.name), @field(init_val, f.name));
     }
-    return s;
+    return comptime s;
 }
 
-pub fn initFill(val: UnitScale) Scales {
+pub fn initFill(val: UnitScale) Self {
     return .{ .data = std.EnumArray(Dimension, UnitScale).initFill(val) };
 }
 
-pub fn get(self: Scales, key: Dimension) UnitScale {
+pub fn get(self: Self, key: Dimension) UnitScale {
     return self.data.get(key);
 }
 
-pub fn set(self: *Scales, key: Dimension, val: UnitScale) void {
+pub fn set(self: *Self, key: Dimension, val: UnitScale) void {
     self.data.set(key, val);
 }
 
-pub fn min(comptime s1: Scales, comptime s2: Scales) Scales {
+pub fn eql(self: Self, other: Self) bool {
-    var out = Scales.initFill(.none);
+    for (self.data.values, other.data.values) |l, r|
-    for (std.enums.values(Dimension)) |dim|
+        if (l != r) return false;
-        out.set(dim, if (s1.get(dim).getFactorInt() > s2.get(dim).getFactorInt()) s2.get(dim) else s1.get(dim));
+    return true;
-
-    return out;
 }
 
-pub fn getFactor(comptime s: Scales, comptime d: Dimensions) f64 {
+pub fn argsOpt(self: Self) ArgOpts {
+    var args: ArgOpts = undefined;
+    for (std.enums.values(Dimension)) |d|
+        @field(args, @tagName(d)) = self.get(d);
+    return args;
+}
+
+/// Compute the combined scale factor for a given dimension signature.
+/// Each dimension's prefix is raised to its exponent and multiplied together.
+pub fn getFactor(s: Self, d: Dimensions) comptime_float {
     var factor: f64 = 1.0;
     for (std.enums.values(Dimension)) |dim| {
         const power = d.get(dim);
@@ -97,7 +142,7 @@ pub fn getFactor(comptime s: Scales, comptime d: Dimensions) f64 {
 
         const base = s.get(dim).getFactor();
 
-        var i: i32 = 0;
+        var i: comptime_int = 0;
         const abs_power = if (power < 0) -power else power;
         while (i < abs_power) : (i += 1) {
             if (power > 0)

src/UnitParser.zig

@@ -0,0 +1,145 @@
+const std = @import("std");
+const Dimensions = @import("Dimensions.zig");
+const Scales = @import("Scales.zig");
+
+/// A container returning the separated arguments needed to construct a Tensor.
+pub const ParsedUnit = struct {
+    dims: Dimensions.ArgOpts = .{},
+    scales: Scales.ArgOpts = .{},
+};
+
+pub const UnitParseError = error{
+    UnknownBaseUnit,
+    UnknownPrefix,
+    InvalidExponent,
+    EmptyStr,
+};
+
+/// Parses strings like "km/s^2", "m", "kg*m/s^2", "1/min".
+/// Evaluates entirely at comptime.
+pub fn parseUnit(str: []const u8) !ParsedUnit {
+    if (str.len == 0) return UnitParseError.EmptyStr;
+
+    var parsed: ParsedUnit = .{ .dims = .{}, .scales = .{} };
+
+    // We need to track if we are after a '/' to flip exponents to negative
+    var is_denominator = false;
+
+    // Manual iteration to handle '/' properly
+    var cursor: usize = 0;
+    while (cursor < str.len) {
+        // Find the next segment
+        const segment_start = cursor;
+        while (cursor < str.len and str[cursor] != '/' and str[cursor] != '.' and str[cursor] != '*') : (cursor += 1) {}
+        const segment = str[segment_start..cursor];
+
+        if (segment.len > 0) {
+            try parseSegment(segment, &parsed, is_denominator);
+        }
+
+        if (cursor < str.len) {
+            if (str[cursor] == '/') {
+                is_denominator = true;
+            }
+            cursor += 1; // skip the separator
+        }
+    }
+
+    return parsed;
+}
+
+fn parseSegment(segment: []const u8, parsed: *ParsedUnit, is_denominator: bool) !void {
+    var scale: Scales.UnitScale = .none;
+    var found_scale = false;
+    var active_dim: ?Dimensions.Dimension = null;
+
+    // 1. Try to find a Scale + Dimension pair (e.g., "mm", "km")
+    inline for (std.enums.values(Scales.UnitScale)) |sca| {
+        const s_str = sca.str();
+        if (s_str.len > 0 and std.mem.startsWith(u8, segment, s_str)) {
+            // Check if it's a "Unit-as-Scale" (hour, min) or a prefix (k, m, c)
+            switch (sca) {
+                .hour, .min, .year => {
+                    // These are dimensions themselves (Time)
+                    if (segment.len == s_str.len or (segment.len > s_str.len and (segment[s_str.len] == '^' or (segment[s_str.len] >= '0' and segment[s_str.len] <= '9')))) {
+                        scale = sca;
+                        active_dim = .T;
+                        found_scale = true;
+                    }
+                },
+                else => {
+                    // Standard prefixes: Must be followed by a valid dimension unit
+                    inline for (std.enums.values(Dimensions.Dimension)) |dim| {
+                        if (std.mem.startsWith(u8, segment[s_str.len..], dim.unit())) {
+                            scale = sca;
+                            active_dim = dim;
+                            found_scale = true;
+                            break;
+                        }
+                    }
+                },
+            }
+        }
+        if (found_scale) break;
+    }
+
+    // 2. If no scale prefix was found, try identifying as a pure Dimension (e.g., "m", "s")
+    if (!found_scale) {
+        inline for (std.enums.values(Dimensions.Dimension)) |dim| {
+            if (std.mem.startsWith(u8, segment, dim.unit())) {
+                active_dim = dim;
+                break;
+            }
+        }
+    }
+
+    const dimen = active_dim orelse return UnitParseError.UnknownBaseUnit;
+
+    // 3. Determine where the exponent starts
+    // If it was a Time Scale (like 'h'), the exponent starts after 'h'
+    // If it was a Prefix + Dim (like 'km'), it starts after 'km'
+    const unit_part_len = if (found_scale)
+        (if (scale == .hour or scale == .min or scale == .year) scale.str().len else scale.str().len + dimen.unit().len)
+    else
+        dimen.unit().len;
+
+    const expo_str = segment[unit_part_len..];
+
+    // 4. Parse Exponent
+    var expo: i32 = 1;
+    if (expo_str.len > 0) {
+        const cleaned_expo = if (expo_str[0] == '^') expo_str[1..] else expo_str;
+        expo = std.fmt.parseInt(i32, cleaned_expo, 10) catch return UnitParseError.InvalidExponent;
+    }
+
+    if (is_denominator) expo *= -1;
+
+    // 5. Assign to struct
+    inline for (std.meta.fields(Dimensions.ArgOpts)) |f| {
+        if (std.mem.eql(u8, f.name, @tagName(dimen))) {
+            @field(parsed.dims, f.name) += expo;
+            @field(parsed.scales, f.name) = scale;
+        }
+    }
+}
+
+inline fn testParser(
+    comptime str: []const u8,
+    comptime expected_dims: Dimensions.ArgOpts,
+    comptime expected_scales: Scales.ArgOpts,
+) !void {
+    const unit = comptime try parseUnit(str);
+    if (comptime !Dimensions.init(expected_dims).eql(Dimensions.init(unit.dims))) return error.WrongDims;
+    if (comptime !Scales.init(expected_scales).eql(Scales.init(unit.scales))) return error.WrongScales;
+}
+
+test "parseUnit" {
+    @setEvalBranchQuota(10000);
+    try testParser("m", .{ .L = 1 }, .{});
+    try testParser("s", .{ .T = 1 }, .{});
+    try testParser("mm", .{ .L = 1 }, .{ .L = .m });
+    try testParser("m/s", .{ .L = 1, .T = -1 }, .{});
+    try testParser("m1/s2/kg", .{ .L = 1, .T = -2, .M = -1 }, .{ .M = .k });
+    try testParser("km/h", .{ .L = 1, .T = -1 }, .{ .L = .k, .T = .hour });
+    try testParser("m.s^-1", .{ .L = 1, .T = -1 }, .{});
+}

src/benchmark.zig

@@ -0,0 +1,352 @@
+const std = @import("std");
+const Io = std.Io;
+const Tensor = @import("Tensor.zig").Tensor;
+
+var io: Io = undefined;
+pub fn main(init: std.process.Init) !void {
+    var stdout_buf: [4096]u8 = undefined;
+    var stdout_writer: std.Io.File.Writer = .init(.stdout(), init.io, &stdout_buf);
+    try stdout_writer.interface.print("Starting Benchmarks...", .{});
+
+    io = init.io;
+
+    try bench_Scalar(&stdout_writer.interface);
+    try stdout_writer.flush();
+    try bench_Vector(&stdout_writer.interface);
+    try stdout_writer.flush();
+    try bench_HighDimTensor(&stdout_writer.interface);
+    try stdout_writer.flush();
+}
+
+fn getTime() Io.Timestamp {
+    return Io.Clock.awake.now(io);
+}
+
+fn fold(comptime TT: type, s: *f64, v: TT) void {
+    s.* += if (comptime @typeInfo(TT) == .float)
+        @as(f64, @floatCast(v))
+    else
+        @as(f64, @floatFromInt(v));
+}
+
+fn bench_Scalar(writer: *std.Io.Writer) !void {
+    const ITERS: usize = 100_000;
+    const SAMPLES: usize = 10;
+
+    const getVal = struct {
+        fn f(comptime TT: type, i: usize, comptime mask: u7) TT {
+            const v: u8 = @as(u8, @truncate(i & @as(usize, mask))) + 1;
+            return if (comptime @typeInfo(TT) == .float) @floatFromInt(v) else @intCast(v);
+        }
+    }.f;
+
+    const Stats = struct {
+        median: f64,
+        delta: f64,
+        ops_per_sec: f64,
+    };
+
+    const computeStats = struct {
+        fn f(samples: []f64, iters: usize) Stats {
+            std.mem.sort(f64, samples, {}, std.sort.asc(f64));
+            const mid = samples.len / 2;
+            const median_ns = if (samples.len % 2 == 0) (samples[mid - 1] + samples[mid]) / 2.0 else samples[mid];
+
+            const low = samples[0];
+            const high = samples[samples.len - 1];
+            const delta_ns = (high - low) / 2.0;
+
+            const ns_per_op = median_ns / @as(f64, @floatFromInt(iters));
+            return .{
+                .median = ns_per_op,
+                .delta = (delta_ns / @as(f64, @floatFromInt(iters))),
+                .ops_per_sec = 1_000_000_000.0 / ns_per_op,
+            };
+        }
+    }.f;
+
+    try writer.print(
+        \\
+        \\ Scalar<T> benchmark — {d} iterations, {d} samples/cell
+        \\
+        \\┌───────────────────┬──────┬─────────────────────┬─────────────────────┐
+        \\│ Operation         │ Type │ ns / op (± delta)   │ Throughput (ops/s)  │
+        \\├───────────────────┼──────┼─────────────────────┼─────────────────────┤
+        \\
+    , .{ ITERS, SAMPLES });
+
+    const Types = .{ i16, i32, i64, i128, i256, f32, f64 };
+    const TNames = .{ "i16", "i32", "i64", "i128", "i256", "f32", "f64" };
+    const Ops = .{ "add", "sub", "mul", "div", "to", "abs", "pow", "eq", "gt", "mul(n)" };
+
+    var results_matrix: [Ops.len][Types.len]f64 = undefined;
+
+    comptime var tidx: usize = 0;
+    inline for (Types, TNames) |T, tname| {
+        const M = Tensor(T, .{ .L = 1 }, .{}, &.{1});
+        const KM = Tensor(T, .{ .L = 1 }, .{ .L = .k }, &.{1});
+        const S = Tensor(T, .{ .T = 1 }, .{}, &.{1});
+
+        inline for (Ops, 0..) |op_name, oidx| {
+            var samples: [SAMPLES]f64 = undefined;
+
+            for (0..SAMPLES) |s_idx| {
+                const t_start = getTime();
+
+                for (0..ITERS) |i| {
+                    std.mem.doNotOptimizeAway(
+                        {
+                            _ = if (comptime std.mem.eql(u8, op_name, "add"))
+                                (M.splat(getVal(T, i, 63))).add(M.splat(getVal(T, i +% 7, 63)))
+                            else if (comptime std.mem.eql(u8, op_name, "sub"))
+                                (M.splat(getVal(T, i +% 10, 63))).sub(M.splat(getVal(T, i, 63)))
+                            else if (comptime std.mem.eql(u8, op_name, "mul"))
+                                (M.splat(getVal(T, i, 63))).mul(M.splat(getVal(T, i +% 1, 63)))
+                            else if (comptime std.mem.eql(u8, op_name, "div"))
+                                (M.splat(getVal(T, i +% 10, 63))).div(S.splat(getVal(T, i, 63)))
+                            else if (comptime std.mem.eql(u8, op_name, "to"))
+                                (KM.splat(getVal(T, i, 15))).to(M)
+                            else if (comptime std.mem.eql(u8, op_name, "abs"))
+                                (M.splat(getVal(T, i, 63))).abs()
+                            else if (comptime std.mem.eql(u8, op_name, "eq"))
+                                (M.splat(getVal(T, i, 63))).eq(M.splat(getVal(T, i +% 3, 63)))
+                            else if (comptime std.mem.eql(u8, op_name, "gt"))
+                                (M.splat(getVal(T, i, 63))).gt(M.splat(getVal(T, i +% 3, 63)))
+                            else
+                                (M.splat(getVal(T, i, 63))).mul(M.splat(3));
+                        },
+                    );
+                }
+
+                const t_end = getTime();
+                samples[s_idx] = @as(f64, @floatFromInt(t_start.durationTo(t_end).toNanoseconds()));
+            }
+
+            const stats = computeStats(&samples, ITERS);
+            results_matrix[oidx][tidx] = stats.median;
+
+            try writer.print("│ {s:<17} │ {s:<4} │ {d:>8.2} ns ±{d:<6.2} │ {d:>19.0} │\n", .{ op_name, tname, stats.median, stats.delta, stats.ops_per_sec });
+        }
+
+        if (comptime tidx < Types.len - 1) {
+            try writer.print("├───────────────────┼──────┼─────────────────────┼─────────────────────┤\n", .{});
+        }
+        tidx += 1;
+    }
+
+    // Median Summary Table
+    try writer.print("└───────────────────┴──────┴─────────────────────┴─────────────────────┘\n\n", .{});
+    try writer.print("Median Summary (ns/op):\n", .{});
+
+    try writer.print("┌──────────────┬───────┬───────┬───────┬───────┬───────┬───────┬───────┐\n", .{});
+    try writer.print("│  Operation   │  i16  │  i32  │  i64  │  i128 │  i256 │  f32  │  f64  │\n", .{});
+    try writer.print("├──────────────┼───────┼───────┼───────┼───────┼───────┼───────┼───────┤\n", .{});
+
+    inline for (Ops, 0..) |op_name, oidx| {
+        try writer.print("│  {s:<11} │", .{op_name});
+        var i: usize = 0;
+        while (i < Types.len) : (i += 1)
+            try writer.print("{d:>6.1} │", .{results_matrix[oidx][i]});
+
+        try writer.print("\n", .{});
+    }
+
+    try writer.print("└──────────────┴───────┴───────┴───────┴───────┴───────┴───────┴───────┘\n", .{});
+}
+
+fn bench_Vector(writer: *std.Io.Writer) !void {
+    const ITERS: usize = 10_000;
+    const SAMPLES: usize = 10;
+
+    const getVal = struct {
+        fn f(comptime TT: type, i: usize, comptime mask: u7) TT {
+            const v: u8 = @as(u8, @truncate(i & @as(usize, mask))) + 1;
+            return if (comptime @typeInfo(TT) == .float) @floatFromInt(v) else @intCast(v);
+        }
+    }.f;
+
+    const computeStats = struct {
+        fn f(samples: []f64, iters: usize) f64 {
+            std.mem.sort(f64, samples, {}, std.sort.asc(f64));
+            const mid = samples.len / 2;
+            const median_ns = if (samples.len % 2 == 0)
+                (samples[mid - 1] + samples[mid]) / 2.0
+            else
+                samples[mid];
+            return median_ns / @as(f64, @floatFromInt(iters));
+        }
+    }.f;
+
+    try writer.print(
+        \\
+        \\ Vector<N, T> benchmark — {d} iterations, {d} samples/cell
+        \\ (Results in ns/op; "---" = not applicable for this length)
+        \\
+        \\┌──────────────────┬──────┬─────────┬─────────┬─────────┬─────────┬─────────┐
+        \\│ Operation        │ Type │   Len=1 │   Len=3 │   Len=4 │  Len=16 │ Len=100 │
+        \\├──────────────────┼──────┼─────────┼─────────┼─────────┼─────────┼─────────┤
+        \\
+    , .{ ITERS, SAMPLES });
+
+    const Types = .{ i32, i64, i128, f32, f64 };
+    const TNames = .{ "i32", "i64", "i128", "f32", "f64" };
+    const Lengths = .{ 1, 3, 4, 16, 100 };
+    // "cross" is only valid for len=3; other cells will show "  ---  "
+    const Ops = .{ "add", "div", "mulScalar", "dot", "product", "pow", "length" };
+
+    inline for (Ops, 0..) |op_name, o_idx| {
+        inline for (Types, TNames) |T, tname| {
+            try writer.print("│ {s:<16} │ {s:<4} │", .{ op_name, tname });
+
+            inline for (Lengths) |len| {
+                const Q_time = Tensor(T, .{ .T = 1 }, .{}, &.{1});
+                const V = Tensor(T, .{ .L = 1 }, .{}, &.{len});
+
+                // cross product is only defined for len == 3
+                const is_cross = comptime std.mem.eql(u8, op_name, "cross");
+                if (comptime is_cross and len != 3) {
+                    try writer.print("     --- │", .{});
+                    continue;
+                }
+
+                var samples: [SAMPLES]f64 = undefined;
+
+                std.mem.doNotOptimizeAway({
+                    for (0..SAMPLES) |s_idx| {
+                        const t_start = getTime();
+                        for (0..ITERS) |i| {
+                            const v1 = V.splat(getVal(T, i, 63));
+
+                            if (comptime std.mem.eql(u8, op_name, "add")) {
+                                const v2 = V.splat(getVal(T, i +% 7, 63));
+                                _ = v1.add(v2);
+                            } else if (comptime std.mem.eql(u8, op_name, "div")) {
+                                _ = v1.div(V.splat(getVal(T, i +% 2, 63)));
+                            } else if (comptime std.mem.eql(u8, op_name, "mulScalar")) {
+                                const s_val = Q_time.splat(getVal(T, i +% 2, 63));
+                                _ = v1.mul(s_val);
+                            } else if (comptime std.mem.eql(u8, op_name, "dot")) {
+                                const v2 = V.splat(getVal(T, i +% 5, 63));
+                                _ = v1.contract(v2, 0, 0);
+                            } else if (comptime std.mem.eql(u8, op_name, "product")) {
+                                _ = v1.product();
+                            } else if (comptime std.mem.eql(u8, op_name, "pow")) {
+                                _ = v1.pow(2);
+                            } else if (comptime std.mem.eql(u8, op_name, "length")) {
+                                _ = v1.length();
+                            }
+                        }
+                        const t_end = getTime();
+
+                        samples[s_idx] = @as(f64, @floatFromInt(t_start.durationTo(t_end).toNanoseconds()));
+                    }
+
+                    const median_ns_per_op = computeStats(&samples, ITERS);
+                    try writer.print(" {d:>7.1} │", .{median_ns_per_op});
+                });
+            }
+            try writer.print("\n", .{});
+        }
+
+        if (o_idx < Ops.len - 1) {
+            try writer.print("├──────────────────┼──────┼─────────┼─────────┼─────────┼─────────┼─────────┤\n", .{});
+        }
+    }
+    try writer.print("└──────────────────┴──────┴─────────┴─────────┴─────────┴─────────┴─────────┘\n", .{});
+}
+
+fn bench_HighDimTensor(writer: *std.Io.Writer) !void {
+    const ITERS: usize = 5_000;
+    const SAMPLES: usize = 5;
+
+    const getVal = struct {
+        fn f(comptime TT: type, i: usize, comptime mask: u7) TT {
+            const v: u8 = @as(u8, @truncate(i & @as(usize, mask))) + 1;
+            return if (comptime @typeInfo(TT) == .float) @floatFromInt(v) else @intCast(v);
+        }
+    }.f;
+
+    const computeStats = struct {
+        fn f(samples: []f64, iters: usize) f64 {
+            std.mem.sort(f64, samples, {}, std.sort.asc(f64));
+            const mid = samples.len / 2;
+            const median_ns = if (samples.len % 2 == 0)
+                (samples[mid - 1] + samples[mid]) / 2.0
+            else
+                samples[mid];
+            return median_ns / @as(f64, @floatFromInt(iters));
+        }
+    }.f;
+
+    try writer.print(
+        \\
+        \\ High Dimension Tensor benchmark — {d} iterations, {d} samples/cell
+        \\ (Results in ns/op)
+        \\
+        \\┌─────────────────┬──────┬──────────────┬──────────────┬──────────────┬──────────────┐
+        \\│ Operation       │ Type │        2x2x2 │        3x3x3 │        4x4x4 │  10x10x10x10 │
+        \\├─────────────────┼──────┼──────────────┼──────────────┼──────────────┼──────────────┤
+        \\
+    , .{ ITERS, SAMPLES });
+
+    const Types = .{ i32, i64, f32, f64 };
+    const TNames = .{ "i32", "i64", "f32", "f64" };
+
+    // Testing multiple structural bounds
+    const Shapes = .{
+        &.{ 2, 2, 2 },
+        &.{ 3, 3, 3 },
+        &.{ 4, 4, 4 },
+        &.{ 10, 10, 10, 10 },
+    };
+
+    const Ops = .{ "add", "sub", "mulElem", "mulScalar", "abs" };
+
+    inline for (Ops, 0..) |op_name, o_idx| {
+        inline for (Types, TNames) |T, tname| {
+            try writer.print("│ {s:<15} │ {s:<4} │", .{ op_name, tname });
+
+            inline for (Shapes) |shape| {
+                const V = Tensor(T, .{ .L = 1 }, .{}, shape);
+                const Q = Tensor(T, .{ .T = 1 }, .{}, &.{1}); // For scalar broadcasting operations
+
+                var samples: [SAMPLES]f64 = undefined;
+
+                for (0..SAMPLES) |s_idx| {
+                    const t_start = getTime();
+
+                    for (0..ITERS) |i| {
+                        std.mem.doNotOptimizeAway({
+                            const t1 = V.splat(getVal(T, i, 63));
+
+                            _ = if (comptime std.mem.eql(u8, op_name, "add"))
+                                t1.add(V.splat(getVal(T, i +% 7, 63)))
+                            else if (comptime std.mem.eql(u8, op_name, "sub"))
+                                t1.sub(V.splat(getVal(T, i +% 3, 63)))
+                            else if (comptime std.mem.eql(u8, op_name, "mulElem"))
+                                t1.mul(V.splat(getVal(T, i +% 5, 63)))
+                            else if (comptime std.mem.eql(u8, op_name, "mulScalar"))
+                                t1.mul(Q.splat(getVal(T, i +% 2, 63)))
+                            else if (comptime std.mem.eql(u8, op_name, "abs"))
+                                t1.abs()
+                            else
+                                unreachable;
+                        });
+                    }
+
+                    const t_end = getTime();
+                    samples[s_idx] = @as(f64, @floatFromInt(t_start.durationTo(t_end).toNanoseconds()));
+                }
+
+                const median_ns_per_op = computeStats(&samples, ITERS);
+                try writer.print(" {d:>12.1} │", .{median_ns_per_op});
+            }
+            try writer.print("\n", .{});
+        }
+
+        if (o_idx < Ops.len - 1) {
+            try writer.print("├─────────────────┼──────┼──────────────┼──────────────┼──────────────┼──────────────┤\n", .{});
+        }
+    }
+    try writer.print("└─────────────────┴──────┴──────────────┴──────────────┴──────────────┴──────────────┘\n", .{});
+}

src/helper.zig

@@ -1,32 +0,0 @@
-const std = @import("std");
-
-pub fn isInt(comptime T: type) bool {
-    return @typeInfo(T) == .int or @typeInfo(T) == .comptime_int;
-}
-
-pub fn printSuperscript(writer: *std.Io.Writer, n: i32) !void {
-    if (n == 0) return;
-    var val = n;
-    if (val < 0) {
-        try writer.writeAll("\u{207B}");
-        val = -val;
-    }
-    var buf: [12]u8 = undefined;
-    const str = std.fmt.bufPrint(&buf, "{d}", .{val}) catch return;
-    for (str) |c| {
-        const s = switch (c) {
-            '0' => "\u{2070}",
-            '1' => "\u{00B9}",
-            '2' => "\u{00B2}",
-            '3' => "\u{00B3}",
-            '4' => "\u{2074}",
-            '5' => "\u{2075}",
-            '6' => "\u{2076}",
-            '7' => "\u{2077}",
-            '8' => "\u{2078}",
-            '9' => "\u{2079}",
-            else => unreachable,
-        };
-        try writer.writeAll(s);
-    }
-}

src/lib.zig

@@ -0,0 +1,9 @@
+const std = @import("std");
+
+pub const TensorStatic = @import("TensorStatic.zig").Tensor;
+pub const TensorAlloc = @import("TensorAlloc.zig").Tensor;
+pub const TensorGpu = @import("TensorGpu.zig").Tensor;
+pub const Dimensions = @import("Dimensions.zig");
+pub const Scales = @import("Scales.zig");
+pub const Base = @import("Base.zig");
+pub const UnitParser = @import("UnitParser.zig");

src/main.zig

@@ -1,826 +0,0 @@
-const std = @import("std");
-const hlp = @import("helper.zig");
-
-const Scales = @import("Scales.zig");
-const UnitScale = Scales.UnitScale;
-const Dimensions = @import("Dimensions.zig");
-const Dimension = Dimensions.Dimension;
-
-pub fn Quantity(T: type, d: Dimensions, s: Scales) type {
-    return struct {
-        value: T,
-
-        const Self = @This();
-        pub const Vec3: type = QuantityVec3(Self);
-        pub const ValueType: type = T;
-
-        pub const dims: Dimensions = d;
-        pub const scales = s;
-
-        /// Internal helper to convert any supported T to f64 for math
-        fn toF64(val: anytype) f64 {
-            const TIn = @TypeOf(val);
-            return switch (@typeInfo(TIn)) {
-                .int => @floatFromInt(val),
-                .float => @floatCast(val),
-                else => @compileError("Unsupported type for Quantity"),
-            };
-        }
-
-        /// Internal helper to convert f64 back to the target T
-        fn fromF64(val: f64) T {
-            return switch (@typeInfo(T)) {
-                .int => @intFromFloat(@round(val)),
-                .float => @floatCast(val),
-                else => unreachable,
-            };
-        }
-
-        /// Helper for integer power of 10 at comptime
-        fn pow10(comptime exp: i32) T {
-            var res: T = 1;
-            var i: i32 = 0;
-            const abs_exp = if (exp < 0) -exp else exp;
-            while (i < abs_exp) : (i += 1) res *= 10;
-            return res;
-        }
-
-        pub fn add(self: Self, rhs: anytype) Quantity(
-            T,
-            dims,
-            scales.min(@TypeOf(rhs).scales),
-        ) {
-            if (comptime !dims.eql(@TypeOf(rhs).dims))
-                @compileError("Dimension mismatch in add");
-
-            const TargetType = Quantity(T, dims, scales.min(@TypeOf(rhs).scales));
-            const lhs_converted = self.to(TargetType);
-            const rhs_converted = rhs.to(TargetType);
-
-            return .{ .value = lhs_converted.value + rhs_converted.value };
-        }
-
-        pub fn sub(self: Self, rhs: anytype) Quantity(
-            T,
-            dims,
-            scales.min(@TypeOf(rhs).scales),
-        ) {
-            if (comptime !dims.eql(@TypeOf(rhs).dims))
-                @compileError("Dimension mismatch in sub");
-
-            const TargetType = Quantity(T, dims, scales.min(@TypeOf(rhs).scales));
-            const lhs_converted = self.to(TargetType);
-            const rhs_converted = rhs.to(TargetType);
-
-            return .{ .value = lhs_converted.value - rhs_converted.value };
-        }
-
-        pub fn mulBy(self: Self, rhs: anytype) Quantity(
-            T,
-            dims.add(@TypeOf(rhs).dims),
-            scales.min(@TypeOf(rhs).scales),
-        ) {
-            const self_ = self.to(Quantity(T, dims, scales.min(@TypeOf(rhs).scales)));
-            const rhs_ = rhs.to(Quantity(T, @TypeOf(rhs).dims, scales.min(@TypeOf(rhs).scales)));
-            return .{ .value = self_.value * rhs_.value };
-        }
-
-        pub fn divBy(self: Self, rhs: anytype) Quantity(
-            T,
-            dims.sub(@TypeOf(rhs).dims),
-            scales.min(@TypeOf(rhs).scales),
-        ) {
-            const self_ = self.to(Quantity(T, dims, scales.min(@TypeOf(rhs).scales)));
-            const rhs_ = rhs.to(Quantity(T, @TypeOf(rhs).dims, scales.min(@TypeOf(rhs).scales)));
-            return .{ .value = fromF64((toF64(self_.value) / toF64(rhs_.value))) };
-        }
-
-        pub fn scale(self: Self, sc: T) Self {
-            return .{ .value = self.value * sc };
-        }
-
-        pub fn to(self: Self, comptime Dest: type) Dest {
-            if (comptime !dims.eql(Dest.dims))
-                @compileError("Dimension mismatch: " ++ dims.str() ++ " vs " ++ Dest.dims.str());
-            if (comptime @TypeOf(self) == Dest)
-                return self;
-
-            const source_factor = scales.getFactor(dims);
-            const dest_factor = Dest.scales.getFactor(Dest.dims);
-            const ratio = source_factor / dest_factor;
-            const result_f = toF64(self.value) * ratio;
-
-            const DestT = Dest.ValueType;
-            return .{ .value = switch (@typeInfo(DestT)) {
-                .int => @intFromFloat(@round(result_f)),
-                .float => @floatCast(result_f),
-                else => unreachable,
-            } };
-        }
-
-        pub fn vec3(self: Self) Vec3 {
-            return .{ .x = self.value, .y = self.value, .z = self.value };
-        }
-
-        pub fn format(
-            self: Self,
-            writer: *std.Io.Writer,
-        ) !void {
-            try writer.print("{d}", .{self.value});
-            var iter = std.EnumSet(Dimension).initFull().iterator();
-            var first = true;
-            while (iter.next()) |bu| {
-                const v = dims.get(bu);
-                if (v == 0) continue;
-                if (!first)
-                    try writer.writeAll(".");
-
-                first = false;
-
-                const uscale = scales.get(bu);
-                if (bu == .T and (uscale == .min or uscale == .hour or uscale == .year))
-                    try writer.print("{s}", .{uscale.str()})
-                else
-                    try writer.print("{s}{s}", .{ uscale.str(), bu.unit() });
-
-                if (v != 1)
-                    try hlp.printSuperscript(writer, v);
-            }
-        }
-    };
-}
-
-pub fn QuantityVec3(Q: type) type {
-    const T = Q.ValueType;
-    const d: Dimensions = Q.dims;
-    const s: Scales = Q.scales;
-
-    return struct {
-        x: T,
-        y: T,
-        z: T,
-
-        const Self = @This();
-        pub const QuantityType = Q;
-        pub const ValueType = T;
-        pub const dims: Dimensions = d;
-        pub const scales = s;
-
-        pub const zero = Self{ .x = 0, .y = 0, .z = 0 };
-        pub const one = Self{ .x = 1, .y = 1, .z = 1 };
-
-        pub fn initDefault(v: T) Self {
-            return .{ .x = v, .y = v, .z = v };
-        }
-
-        pub fn add(self: Self, rhs: anytype) QuantityVec3(Quantity(T, d, s.min(@TypeOf(rhs).scales))) {
-            const Tr = @TypeOf(rhs);
-            // We leverage the logic in the scalar Quantity.add
-            const qx = (Q{ .value = self.x }).add(Tr.QuantityType{ .value = rhs.x });
-            const qy = (Q{ .value = self.y }).add(Tr.QuantityType{ .value = rhs.y });
-            const qz = (Q{ .value = self.z }).add(Tr.QuantityType{ .value = rhs.z });
-
-            return .{
-                .x = qx.value,
-                .y = qy.value,
-                .z = qz.value,
-            };
-        }
-
-        pub fn sub(self: Self, rhs: anytype) QuantityVec3(Quantity(T, d, s.min(@TypeOf(rhs).scales))) {
-            const Tr = @TypeOf(rhs);
-            const qx = (Q{ .value = self.x }).sub(Tr.QuantityType{ .value = rhs.x });
-            const qy = (Q{ .value = self.y }).sub(Tr.QuantityType{ .value = rhs.y });
-            const qz = (Q{ .value = self.z }).sub(Tr.QuantityType{ .value = rhs.z });
-
-            return .{
-                .x = qx.value,
-                .y = qy.value,
-                .z = qz.value,
-            };
-        }
-
-        pub fn divBy(
-            self: Self,
-            rhs: anytype,
-        ) QuantityVec3(Quantity(T, d.sub(@TypeOf(rhs).dims), s.min(@TypeOf(rhs).scales))) {
-            const Tr = @TypeOf(rhs);
-            return .{
-                .x = (Q{ .value = self.x }).divBy(Tr.QuantityType{ .value = rhs.x }).value,
-                .y = (Q{ .value = self.y }).divBy(Tr.QuantityType{ .value = rhs.y }).value,
-                .z = (Q{ .value = self.z }).divBy(Tr.QuantityType{ .value = rhs.z }).value,
-            };
-        }
-
-        pub fn mulBy(
-            self: Self,
-            rhs: anytype,
-        ) QuantityVec3(Quantity(T, d.sub(@TypeOf(rhs).dims), s.min(@TypeOf(rhs).scales))) {
-            const Tr = @TypeOf(rhs);
-            return .{
-                .x = (Q{ .value = self.x }).mulBy(Tr.QuantityType{ .value = rhs.x }).value,
-                .y = (Q{ .value = self.y }).mulBy(Tr.QuantityType{ .value = rhs.y }).value,
-                .z = (Q{ .value = self.z }).mulBy(Tr.QuantityType{ .value = rhs.z }).value,
-            };
-        }
-
-        pub fn divByScalar(
-            self: Self,
-            scalar: anytype,
-        ) QuantityVec3(Quantity(T, d.sub(@TypeOf(scalar).dims), s.min(@TypeOf(scalar).scales))) {
-            const q_x = Q{ .value = self.x };
-            const q_y = Q{ .value = self.y };
-            const q_z = Q{ .value = self.z };
-
-            return .{
-                .x = q_x.divBy(scalar).value,
-                .y = q_y.divBy(scalar).value,
-                .z = q_z.divBy(scalar).value,
-            };
-        }
-
-        pub fn mulByScalar(
-            self: Self,
-            scalar: anytype,
-        ) QuantityVec3(Quantity(T, d.add(@TypeOf(scalar).dims), s.min(@TypeOf(scalar).scales))) {
-            const q_x = Q{ .value = self.x };
-            const q_y = Q{ .value = self.y };
-            const q_z = Q{ .value = self.z };
-
-            return .{
-                .x = q_x.mulBy(scalar).value,
-                .y = q_y.mulBy(scalar).value,
-                .z = q_z.mulBy(scalar).value,
-            };
-        }
-
-        pub fn negate(self: Self) Self {
-            return .{ .x = -self.x, .y = -self.y, .z = -self.z };
-        }
-
-        pub fn scale(self: Self, rhs: T) Self {
-            return .{
-                .x = (Q{ .value = self.x }).scale(rhs).value,
-                .y = (Q{ .value = self.y }).scale(rhs).value,
-                .z = (Q{ .value = self.z }).scale(rhs).value,
-            };
-        }
-
-        pub fn to(self: Self, comptime DestQ: type) QuantityVec3(DestQ) {
-            return .{
-                .x = (Q{ .value = self.x }).to(DestQ).value,
-                .y = (Q{ .value = self.y }).to(DestQ).value,
-                .z = (Q{ .value = self.z }).to(DestQ).value,
-            };
-        }
-
-        pub fn format(self: Self, writer: *std.Io.Writer) !void {
-            try writer.print("({d:.2}, {d:.2}, {d:.2})", .{ self.x, self.y, self.z });
-            var iter = std.EnumSet(Dimension).initFull().iterator();
-            var first = true;
-            while (iter.next()) |bu| {
-                const v = dims.get(bu);
-                if (v == 0) continue;
-                if (!first) try writer.writeAll(".");
-                first = false;
-                try writer.print("{s}{s}", .{ scales.get(bu).str(), bu.unit() });
-                if (v != 1) try hlp.printSuperscript(writer, v);
-            }
-        }
-
-        pub fn lengthSqr(self: Self) T {
-            return self.x * self.x + self.y * self.y + self.z * self.z;
-        }
-
-        pub fn length(self: Self) T {
-            if (comptime hlp.isInt(T))
-                return self.isqrt()
-            else
-                return @sqrt(self.x * self.x + self.y * self.y + self.z * self.z);
-        }
-
-        fn isqrt(self: Self) T {
-            const squared_sum = (self.x * self.x) + (self.y * self.y) + (self.z * self.z);
-            if (squared_sum <= 0) return 0;
-
-            var x = squared_sum;
-            var y = @divTrunc(x + 1, 2);
-            while (y < x) {
-                x = y;
-                y = @divTrunc(x + @divTrunc(squared_sum, x), 2);
-            }
-            return x;
-        }
-    };
-}
-
-pub fn main(_: std.process.Init) void {}
-
-test "Generate quantity" {
-    const Meter = Quantity(i128, Dimensions.init(.{ .L = 1 }), Scales.init(.{ .L = -3 }));
-    const Second = Quantity(f32, Dimensions.init(.{ .T = 1 }), Scales.init(.{ .T = .n }));
-
-    const distance = Meter{ .value = 10 };
-    const time = Second{ .value = 2 };
-
-    try std.testing.expectEqual(10, distance.value);
-    try std.testing.expectEqual(2, time.value);
-}
-
-test "Add" {
-    const Meter = Quantity(i128, Dimensions.init(.{ .L = 1 }), Scales.init(.{}));
-
-    const distance = Meter{ .value = 10 };
-    const distance2 = Meter{ .value = 20 };
-
-    const added = distance.add(distance2);
-    try std.testing.expectEqual(30, added.value);
-    try std.testing.expectEqual(1, @TypeOf(added).dims.get(.L));
-    std.debug.print("KiloMeter {f} + {f} = {f} OK\n", .{ distance, distance2, added });
-
-    const KiloMeter = Quantity(i128, Dimensions.init(.{ .L = 1 }), Scales.init(.{ .L = .k }));
-    const distance3 = KiloMeter{ .value = 2 };
-    const added2 = distance.add(distance3);
-    try std.testing.expectEqual(2010, added2.value);
-    try std.testing.expectEqual(1, @TypeOf(added2).dims.get(.L));
-    std.debug.print("KiloMeter {f} + {f} = {f} OK\n", .{ distance, distance3, added2 });
-
-    const added3 = distance3.add(distance).to(KiloMeter);
-    try std.testing.expectEqual(2, added3.value);
-    try std.testing.expectEqual(1, @TypeOf(added3).dims.get(.L));
-    std.debug.print("KiloMeter {f} + {f} = {f} OK\n", .{ distance3, distance, added3 });
-
-    const KiloMeter_f = Quantity(f64, Dimensions.init(.{ .L = 1 }), Scales.init(.{ .L = .k }));
-    const distance4 = KiloMeter_f{ .value = 2 };
-    const added4 = distance4.add(distance).to(KiloMeter_f);
-    try std.testing.expectApproxEqAbs(2.01, added4.value, 0.000001);
-    try std.testing.expectEqual(1, @TypeOf(added4).dims.get(.L));
-    std.debug.print("KiloMeter_f {f} + {f} = {f} OK\n", .{ distance4, distance, added4 });
-}
-
-test "Sub" {
-    const Meter = Quantity(i128, Dimensions.init(.{ .L = 1 }), Scales.init(.{}));
-    const KiloMeter = Quantity(i128, Dimensions.init(.{ .L = 1 }), Scales.init(.{ .L = .k }));
-    const KiloMeter_f = Quantity(f64, Dimensions.init(.{ .L = 1 }), Scales.init(.{ .L = .k }));
-
-    const a = Meter{ .value = 500 };
-    const b = Meter{ .value = 200 };
-    const diff = a.sub(b);
-    try std.testing.expectEqual(300, diff.value);
-    std.debug.print("Sub: {f} - {f} = {f} OK\n", .{ a, b, diff });
-
-    const km = KiloMeter{ .value = 1 };
-    const diff2 = a.sub(km);
-    std.debug.print("Sub cross-scale: {f} - {f} = {f}\n", .{ a, km, diff2 });
-
-    const km_f = KiloMeter_f{ .value = 2.5 };
-    const m_f = Meter{ .value = 500 };
-    const diff3 = km_f.sub(m_f);
-    try std.testing.expectApproxEqAbs(2000, diff3.value, 1e-4);
-    std.debug.print("Sub float cross-scale: {f} - {f} = {f} OK\n", .{ km_f, m_f, diff3 });
-}
-
-test "MulBy" {
-    const Meter = Quantity(i128, Dimensions.init(.{ .L = 1 }), Scales.init(.{}));
-    const Second = Quantity(f32, Dimensions.init(.{ .T = 1 }), Scales.init(.{}));
-
-    const d = Meter{ .value = 3.0 };
-    const t = Second{ .value = 4.0 };
-
-    const area_time = d.mulBy(t);
-    try std.testing.expectEqual(12, area_time.value);
-    try std.testing.expectEqual(1, @TypeOf(area_time).dims.get(.L));
-    try std.testing.expectEqual(1, @TypeOf(area_time).dims.get(.T));
-    std.debug.print("MulBy: {f} * {f} = {f} OK\n", .{ d, t, area_time });
-
-    const d2 = Meter{ .value = 5.0 };
-    const area = d.mulBy(d2);
-    try std.testing.expectEqual(15, area.value);
-    try std.testing.expectEqual(2, @TypeOf(area).dims.get(.L));
-    try std.testing.expectEqual(0, @TypeOf(area).dims.get(.T));
-    std.debug.print("MulBy: {f} * {f} = {f} OK\n", .{ d, d2, area });
-}
-
-test "MulBy with scale" {
-    const KiloMeter = Quantity(f32, Dimensions.init(.{ .L = 1 }), Scales.init(.{ .L = .k }));
-    const KiloGram = Quantity(f32, Dimensions.init(.{ .M = 1 }), Scales.init(.{ .M = .k }));
-
-    const dist = KiloMeter{ .value = 2.0 };
-    const mass = KiloGram{ .value = 3.0 };
-    const prod = dist.mulBy(mass);
-    try std.testing.expectEqual(1, @TypeOf(prod).dims.get(.L));
-    try std.testing.expectEqual(1, @TypeOf(prod).dims.get(.M));
-    std.debug.print("MulBy scaled: {f} * {f} = {f} OK\n", .{ dist, mass, prod });
-}
-
-test "MulBy with type change" {
-    const Meter = Quantity(i128, Dimensions.init(.{ .L = 1 }), Scales.init(.{ .L = .k }));
-    const Second = Quantity(f32, Dimensions.init(.{ .T = 1 }), Scales.init(.{}));
-    const KmSec = Quantity(f32, Dimensions.init(.{ .L = 1, .T = 1 }), Scales.init(.{ .L = .k }));
-
-    const d = Meter{ .value = 3.0 };
-    const t = Second{ .value = 4.0 };
-
-    const area_time = d.mulBy(t).to(KmSec);
-    try std.testing.expectEqual(12, area_time.value);
-    try std.testing.expectEqual(1, @TypeOf(area_time).dims.get(.L));
-    try std.testing.expectEqual(1, @TypeOf(area_time).dims.get(.T));
-    std.debug.print("MulBy: {f} * {f} = {f} OK\n", .{ d, t, area_time });
-}
-
-test "MulBy small" {
-    const Meter = Quantity(i128, Dimensions.init(.{ .L = 1 }), Scales.init(.{ .L = .n }));
-    const Second = Quantity(f32, Dimensions.init(.{ .T = 1 }), Scales.init(.{}));
-
-    const d = Meter{ .value = 3.0 };
-    const t = Second{ .value = 4.0 };
-
-    const area_time = d.mulBy(t);
-    try std.testing.expectEqual(12, area_time.value);
-    try std.testing.expectEqual(1, @TypeOf(area_time).dims.get(.L));
-    try std.testing.expectEqual(1, @TypeOf(area_time).dims.get(.T));
-    std.debug.print("MulBy: {f} * {f} = {f} OK\n", .{ d, t, area_time });
-}
-
-test "Scale" {
-    const Meter = Quantity(i128, Dimensions.init(.{ .L = 1 }), Scales.init(.{}));
-    const Second = Quantity(f32, Dimensions.init(.{ .T = 1 }), Scales.init(.{}));
-
-    const d = Meter{ .value = 7 };
-    const scaled = d.scale(3);
-    try std.testing.expectEqual(21, scaled.value);
-    try std.testing.expectEqual(1, @TypeOf(scaled).dims.get(.L));
-    std.debug.print("Scale int: {f} * 3 = {f} OK\n", .{ d, scaled });
-
-    const t = Second{ .value = 1.5 };
-    const scaled_f = t.scale(4.0);
-    try std.testing.expectApproxEqAbs(@as(f32, 6.0), scaled_f.value, 1e-4);
-    std.debug.print("Scale float: {f} * 4 = {f} OK\n", .{ t, scaled_f });
-}
-
-test "Chained: velocity and acceleration" {
-    const Meter = Quantity(i128, Dimensions.init(.{ .L = 1 }), Scales.init(.{}));
-    const Second = Quantity(f32, Dimensions.init(.{ .T = 1 }), Scales.init(.{}));
-
-    const dist = Meter{ .value = 100.0 };
-    const t1 = Second{ .value = 5.0 };
-    const velocity = dist.divBy(t1);
-    try std.testing.expectEqual(20, velocity.value);
-    try std.testing.expectEqual(1, @TypeOf(velocity).dims.get(.L));
-    try std.testing.expectEqual(-1, @TypeOf(velocity).dims.get(.T));
-
-    const t2 = Second{ .value = 4.0 };
-    const accel = velocity.divBy(t2);
-    try std.testing.expectEqual(5, accel.value);
-    try std.testing.expectEqual(1, @TypeOf(accel).dims.get(.L));
-    try std.testing.expectEqual(-2, @TypeOf(accel).dims.get(.T));
-
-    std.debug.print("Velocity: {f}, Acceleration: {f} OK\n", .{ velocity, accel });
-}
-
-test "DivBy integer exact" {
-    const Meter = Quantity(i128, Dimensions.init(.{ .L = 1 }), Scales.init(.{}));
-    const Second = Quantity(f32, Dimensions.init(.{ .T = 1 }), Scales.init(.{}));
-
-    const dist = Meter{ .value = 120 };
-    const time = Second{ .value = 4 };
-    const vel = dist.divBy(time);
-
-    try std.testing.expectEqual(30, vel.value);
-    try std.testing.expectEqual(1, @TypeOf(vel).dims.get(.L));
-    try std.testing.expectEqual(-1, @TypeOf(vel).dims.get(.T));
-    std.debug.print("DivBy int: {f} / {f} = {f} OK\n", .{ dist, time, vel });
-}
-
-test "Conversion chain: km -> m -> cm" {
-    const KiloMeter = Quantity(i128, Dimensions.init(.{ .L = 1 }), Scales.init(.{ .L = .k }));
-    const Meter = Quantity(i128, Dimensions.init(.{ .L = 1 }), Scales.init(.{}));
-    const CentiMeter = Quantity(i128, Dimensions.init(.{ .L = 1 }), Scales.init(.{ .L = .c }));
-
-    const km = KiloMeter{ .value = 15 };
-    const m = km.to(Meter);
-    const cm = m.to(CentiMeter);
-
-    try std.testing.expectEqual(15_000, m.value);
-    try std.testing.expectEqual(1_500_000, cm.value);
-    std.debug.print("Chain: {f} -> {f} -> {f} OK\n", .{ km, m, cm });
-}
-
-test "Conversion: hours -> minutes -> seconds" {
-    const Hour = Quantity(i128, Dimensions.init(.{ .T = 1 }), Scales.init(.{ .T = .hour }));
-    const Minute = Quantity(i128, Dimensions.init(.{ .T = 1 }), Scales.init(.{ .T = .min }));
-    const Second = Quantity(i128, Dimensions.init(.{ .T = 1 }), Scales.init(.{}));
-
-    const h = Hour{ .value = 1.0 };
-    const min = h.to(Minute);
-    const sec = min.to(Second);
-
-    try std.testing.expectEqual(60, min.value);
-    try std.testing.expectEqual(3600, sec.value);
-    std.debug.print("Time chain: {f} -> {f} -> {f} OK\n", .{ h, min, sec });
-}
-
-test "Negative values" {
-    const Meter = Quantity(i128, Dimensions.init(.{ .L = 1 }), Scales.init(.{}));
-
-    const a = Meter{ .value = 5 };
-    const b = Meter{ .value = 20 };
-    const diff = a.sub(b);
-    try std.testing.expectEqual(-15, diff.value);
-    std.debug.print("Negative sub: {f} - {f} = {f} OK\n", .{ a, b, diff });
-}
-
-test "Format Quantity" {
-    const MeterPerSecondSq = Quantity(
-        f32,
-        Dimensions.init(.{ .L = 1, .T = -2 }),
-        Scales.init(.{ .T = .n }),
-    );
-    const KgMeterPerSecond = Quantity(
-        f32,
-        Dimensions.init(.{ .M = 1, .L = 1, .T = -1 }),
-        Scales.init(.{ .M = .k }),
-    );
-
-    const accel = MeterPerSecondSq{ .value = 9.81 };
-    const momentum = KgMeterPerSecond{ .value = 42.0 };
-
-    std.debug.print("Acceleration: {f}\n", .{accel});
-    std.debug.print("Momentum: {f}\n", .{momentum});
-}
-
-test "Format Vector3" {
-    const MeterPerSecondSq = Quantity(
-        f32,
-        Dimensions.init(.{ .L = 1, .T = -2 }),
-        Scales.init(.{ .T = .n }),
-    );
-    const KgMeterPerSecond = Quantity(
-        f32,
-        Dimensions.init(.{ .M = 1, .L = 1, .T = -1 }),
-        Scales.init(.{ .M = .k }),
-    );
-
-    const accel = MeterPerSecondSq.Vec3.initDefault(9.81);
-    const momentum = KgMeterPerSecond.Vec3{ .x = 43, .y = 0, .z = 11 };
-
-    std.debug.print("Acceleration: {f}\n", .{accel});
-    std.debug.print("Momentum: {f}\n", .{momentum});
-}
-
-test "Vec3 Init and Basic Arithmetic" {
-    const Meter = Quantity(i32, Dimensions.init(.{ .L = 1 }), Scales.init(.{}));
-    const Vec3M = Meter.Vec3;
-
-    // Test zero, one, initDefault
-    const v_zero = Vec3M.zero;
-    try std.testing.expectEqual(0, v_zero.x);
-
-    const v_one = Vec3M.one;
-    try std.testing.expectEqual(1, v_one.x);
-
-    const v_def = Vec3M.initDefault(5);
-    try std.testing.expectEqual(5, v_def.x);
-    try std.testing.expectEqual(5, v_def.y);
-    try std.testing.expectEqual(5, v_def.z);
-
-    // Test add and sub
-    const v1 = Vec3M{ .x = 10, .y = 20, .z = 30 };
-    const v2 = Vec3M{ .x = 2, .y = 4, .z = 6 };
-
-    const added = v1.add(v2);
-    try std.testing.expectEqual(12, added.x);
-    try std.testing.expectEqual(24, added.y);
-    try std.testing.expectEqual(36, added.z);
-
-    const subbed = v1.sub(v2);
-    try std.testing.expectEqual(8, subbed.x);
-    try std.testing.expectEqual(16, subbed.y);
-    try std.testing.expectEqual(24, subbed.z);
-
-    // Test negate
-    const neg = v1.negate();
-    try std.testing.expectEqual(-10, neg.x);
-    try std.testing.expectEqual(-20, neg.y);
-    try std.testing.expectEqual(-30, neg.z);
-}
-
-test "Vec3 Kinematics (Scalar Mul/Div)" {
-    const Meter = Quantity(i32, Dimensions.init(.{ .L = 1 }), Scales.init(.{}));
-    const Second = Quantity(i32, Dimensions.init(.{ .T = 1 }), Scales.init(.{}));
-    const Vec3M = Meter.Vec3;
-
-    const pos = Vec3M{ .x = 100, .y = 200, .z = 300 };
-    const time = Second{ .value = 10 };
-
-    // Vector divided by scalar Quantity (Velocity = Position / Time)
-    const vel = pos.divByScalar(time);
-    try std.testing.expectEqual(10, vel.x);
-    try std.testing.expectEqual(20, vel.y);
-    try std.testing.expectEqual(30, vel.z);
-    try std.testing.expectEqual(1, @TypeOf(vel).dims.get(.L));
-    try std.testing.expectEqual(-1, @TypeOf(vel).dims.get(.T));
-
-    // Vector multiplied by scalar Quantity (Position = Velocity * Time)
-    const new_pos = vel.mulByScalar(time);
-    try std.testing.expectEqual(100, new_pos.x);
-    try std.testing.expectEqual(200, new_pos.y);
-    try std.testing.expectEqual(300, new_pos.z);
-    try std.testing.expectEqual(1, @TypeOf(new_pos).dims.get(.L));
-    try std.testing.expectEqual(0, @TypeOf(new_pos).dims.get(.T));
-}
-
-test "Vec3 Element-wise Math and Scaling" {
-    const Meter = Quantity(i32, Dimensions.init(.{ .L = 1 }), Scales.init(.{}));
-    const Vec3M = Meter.Vec3;
-
-    const v1 = Vec3M{ .x = 10, .y = 20, .z = 30 };
-    const v2 = Vec3M{ .x = 2, .y = 5, .z = 10 };
-
-    // Element-wise division
-    const div = v1.divBy(v2);
-    try std.testing.expectEqual(5, div.x);
-    try std.testing.expectEqual(4, div.y);
-    try std.testing.expectEqual(3, div.z);
-    try std.testing.expectEqual(0, @TypeOf(div).dims.get(.L)); // M / M = Dimensionless
-
-    // Scale by primitive
-    const scaled = v1.scale(2);
-    try std.testing.expectEqual(20, scaled.x);
-    try std.testing.expectEqual(40, scaled.y);
-    try std.testing.expectEqual(60, scaled.z);
-}
-
-test "Vec3 Conversions" {
-    const KiloMeter = Quantity(i32, Dimensions.init(.{ .L = 1 }), Scales.init(.{ .L = .k }));
-    const Meter = Quantity(i32, Dimensions.init(.{ .L = 1 }), Scales.init(.{}));
-
-    const v_km = KiloMeter.Vec3{ .x = 1, .y = 2, .z = 3 };
-    const v_m = v_km.to(Meter);
-
-    try std.testing.expectEqual(1000, v_m.x);
-    try std.testing.expectEqual(2000, v_m.y);
-    try std.testing.expectEqual(3000, v_m.z);
-
-    // Type checking the result
-    try std.testing.expectEqual(1, @TypeOf(v_m).dims.get(.L));
-    try std.testing.expectEqual(UnitScale.none, @TypeOf(v_m).scales.get(.L));
-}
-
-test "Vec3 Length" {
-    const MeterInt = Quantity(i32, Dimensions.init(.{ .L = 1 }), Scales.init(.{}));
-    const MeterFloat = Quantity(f32, Dimensions.init(.{ .L = 1 }), Scales.init(.{}));
-
-    // Integer length (using your custom isqrt)
-    // 3-4-5 triangle on XY plane
-    const v_int = MeterInt.Vec3{ .x = 3, .y = 4, .z = 0 };
-    try std.testing.expectEqual(25, v_int.lengthSqr());
-    try std.testing.expectEqual(5, v_int.length());
-
-    // Float length
-    const v_float = MeterFloat.Vec3{ .x = 3.0, .y = 4.0, .z = 0.0 };
-    try std.testing.expectApproxEqAbs(@as(f32, 25.0), v_float.lengthSqr(), 1e-4);
-    try std.testing.expectApproxEqAbs(@as(f32, 5.0), v_float.length(), 1e-4);
-}
-
-test "Comprehensive Benchmark: All Ops × All Types" {
-    const Io = std.Io;
-    const ITERS: usize = 100_000;
-    const SAMPLES: usize = 10; // Number of samples for stats
-
-    var gsink: f64 = 0;
-    const io = std.testing.io;
-
-    // Standard Zig 0.16 timestamp retrieval
-    const getTime = struct {
-        fn f(i: Io) Io.Timestamp {
-            return Io.Clock.awake.now(i);
-        }
-    }.f;
-
-    const fold = struct {
-        fn f(comptime TT: type, s: *f64, v: TT) void {
-            s.* += if (comptime @typeInfo(TT) == .float)
-                @as(f64, @floatCast(v))
-            else
-                @as(f64, @floatFromInt(v));
-        }
-    }.f;
-
-    const getVal = struct {
-        fn f(comptime TT: type, i: usize, comptime mask: u7) TT {
-            const v: u8 = @as(u8, @truncate(i & @as(usize, mask))) + 1;
-            return if (comptime @typeInfo(TT) == .float) @floatFromInt(v) else @intCast(v);
-        }
-    }.f;
-
-    const Stats = struct {
-        median: f64,
-        delta: f64,
-        ops_per_sec: f64,
-    };
-
-    const computeStats = struct {
-        fn f(samples: []f64, iters: usize) Stats {
-            std.mem.sort(f64, samples, {}, std.sort.asc(f64));
-            const mid = samples.len / 2;
-            const median_ns = if (samples.len % 2 == 0) (samples[mid - 1] + samples[mid]) / 2.0 else samples[mid];
-
-            const low = samples[0];
-            const high = samples[samples.len - 1];
-            const delta_ns = (high - low) / 2.0;
-
-            const ns_per_op = median_ns / @as(f64, @floatFromInt(iters));
-            return .{
-                .median = ns_per_op,
-                .delta = (delta_ns / @as(f64, @floatFromInt(iters))),
-                .ops_per_sec = 1_000_000_000.0 / ns_per_op,
-            };
-        }
-    }.f;
-
-    std.debug.print(
-        \\
-        \\ Quantity<T> benchmark — {d} iterations, {d} samples/cell
-        \\
-        \\┌───────────────────┬──────┬─────────────────────┬─────────────────────┐
-        \\│ Operation         │ Type │ ns / op (± delta)   │ Throughput (ops/s)  │
-        \\├───────────────────┼──────┼─────────────────────┼─────────────────────┤
-        \\
-    , .{ ITERS, SAMPLES });
-
-    const Types = .{ i16, i32, i64, i128, i256, f32, f64, f128 };
-    const TNames = .{ "i16", "i32", "i64", "i128", "i256", "f32", "f64", "f128" };
-    const Ops = .{ "add", "sub", "mulBy", "divBy", "scale", "to" };
-
-    var results_matrix: [Ops.len][Types.len]f64 = undefined;
-
-    comptime var tidx: usize = 0;
-    inline for (Types, TNames) |T, tname| {
-        const M = Quantity(T, Dimensions.init(.{ .L = 1 }), Scales.init(.{}));
-        const KM = Quantity(T, Dimensions.init(.{ .L = 1 }), Scales.init(.{ .L = .k }));
-        const S = Quantity(T, Dimensions.init(.{ .T = 1 }), Scales.init(.{}));
-
-        inline for (Ops, 0..) |op_name, oidx| {
-            var samples: [SAMPLES]f64 = undefined;
-
-            for (0..SAMPLES) |s_idx| {
-                var sink: T = 0;
-                const t_start = getTime(io);
-
-                for (0..ITERS) |i| {
-                    const r = if (comptime std.mem.eql(u8, op_name, "add"))
-                        (M{ .value = getVal(T, i, 63) }).add(M{ .value = getVal(T, i +% 7, 63) })
-                    else if (comptime std.mem.eql(u8, op_name, "sub"))
-                        (M{ .value = getVal(T, i +% 10, 63) }).sub(M{ .value = getVal(T, i, 63) })
-                    else if (comptime std.mem.eql(u8, op_name, "mulBy"))
-                        (M{ .value = getVal(T, i, 63) }).mulBy(M{ .value = getVal(T, i +% 1, 63) })
-                    else if (comptime std.mem.eql(u8, op_name, "divBy"))
-                        (M{ .value = getVal(T, i +% 10, 63) }).divBy(S{ .value = getVal(T, i, 63) })
-                    else if (comptime std.mem.eql(u8, op_name, "scale"))
-                        (M{ .value = getVal(T, i, 63) }).scale(getVal(T, i +% 2, 63))
-                    else
-                        (KM{ .value = getVal(T, i, 15) }).to(M);
-
-                    if (comptime @typeInfo(T) == .float) sink += r.value else sink ^= r.value;
-                }
-
-                const t_end = getTime(io);
-                samples[s_idx] = @as(f64, @floatFromInt(t_start.durationTo(t_end).toNanoseconds()));
-                fold(T, &gsink, sink);
-            }
-
-            const stats = computeStats(&samples, ITERS);
-            results_matrix[oidx][tidx] = stats.median;
-
-            std.debug.print("│ {s:<17} │ {s:<4} │ {d:>8.2} ns ±{d:<6.2} │ {d:>19.0} │\n", .{ op_name, tname, stats.median, stats.delta, stats.ops_per_sec });
-        }
-
-        if (comptime tidx < Types.len - 1) {
-            std.debug.print("├───────────────────┼──────┼─────────────────────┼─────────────────────┤\n", .{});
-        }
-        tidx += 1;
-    }
-
-    // Median Summary Table
-    std.debug.print("└───────────────────┴──────┴─────────────────────┴─────────────────────┘\n\n", .{});
-    std.debug.print("Median Summary (ns/op):\n", .{});
-
-    std.debug.print("┌──────────────┬───────┬───────┬───────┬───────┬───────┬───────┬───────┬───────┐\n", .{});
-    std.debug.print("│  Operation   │  i16  │  i32  │  i64  │  i128 │  i256 │  f32  │  f64  │  f128 │\n", .{});
-    std.debug.print("├──────────────┼───────┼───────┼───────┼───────┼───────┼───────┼───────┼───────┤\n", .{});
-
-    inline for (Ops, 0..) |op_name, oidx| {
-        std.debug.print("│  {s:<11} │", .{op_name});
-        var i: usize = 0;
-        while (i < Types.len) : (i += 1) {
-            std.debug.print("{d:>6.1} │", .{results_matrix[oidx][i]});
-        }
-        std.debug.print("\n", .{});
-    }
-
-    std.debug.print("└──────────────┴───────┴───────┴───────┴───────┴───────┴───────┴───────┴───────┘\n", .{});
-
-    std.debug.print("\nAnti-optimisation sink: {d:.4}\n", .{gsink});
-    try std.testing.expect(gsink != 0);
-}

src/shared.zig

@@ -0,0 +1,155 @@
+const std = @import("std");
+const Scales = @import("Scales.zig");
+const UnitScale = Scales.UnitScale;
+const Dimensions = @import("Dimensions.zig");
+const Dimension = Dimensions.Dimension;
+
+pub const TensorKind = enum { static, alloc, gpu };
+
+pub fn isTensor(comptime T: type) bool {
+    return comptime @typeInfo(T) == .@"struct" and @hasDecl(T, "ISTENSOR");
+}
+
+pub fn shapeTotal(shape: []const comptime_int) usize {
+    var t: comptime_int = 1;
+    for (shape) |s| t *= s;
+    return t;
+}
+
+/// Check if two shapes are strictly identical.
+pub fn shapeEql(a: []const comptime_int, b: []const comptime_int) bool {
+    if (a.len != b.len) return false;
+    for (a, 0..) |v, i|
+        if (v != b[i]) return false;
+    return true;
+}
+
+/// Row-major (C-order) strides: strides[i] = product(shape[i+1..]).
+///   e.g. shape {3, 4} → strides {4, 1}
+///        shape {2, 3, 4} → strides {12, 4, 1}
+pub fn shapeStrides(shape: []const comptime_int) [shape.len]comptime_int {
+    var st: [shape.len]comptime_int = undefined;
+    if (shape.len == 0) return st;
+    st[shape.len - 1] = 1;
+    if (shape.len > 1) {
+        var i: comptime_int = shape.len - 1;
+        while (i > 0) : (i -= 1) st[i - 1] = st[i] * shape[i];
+    }
+    return st;
+}
+
+/// Return a copy of `shape` with the element at `axis` removed.
+pub fn shapeRemoveAxis(shape: []const comptime_int, axis: comptime_int) [shape.len - 1]comptime_int {
+    var out: [shape.len - 1]comptime_int = undefined;
+    var j: comptime_int = 0;
+    for (shape, 0..) |v, i| {
+        if (i != axis) {
+            out[j] = v;
+            j += 1;
+        }
+    }
+    return out;
+}
+
+/// Concatenate two compile-time slices.
+pub fn shapeCat(a: []const comptime_int, b: []const comptime_int) [a.len + b.len]comptime_int {
+    var out: [a.len + b.len]comptime_int = undefined;
+    for (a, 0..) |v, i| out[i] = v;
+    for (b, 0..) |v, i| out[a.len + i] = v;
+    return out;
+}
+
+/// Decode a flat row-major index into N-D coordinates.
+/// Called only in comptime contexts (all arguments are comptime).
+pub fn decodeFlatCoords(flat: comptime_int, n: comptime_int, strd: [n]comptime_int) [n]usize {
+    var coords: [n]comptime_int = undefined;
+    var tmp = flat;
+    for (0..n) |i| {
+        coords[i] = if (strd[i] == 0) 0 else tmp / strd[i];
+        tmp = if (strd[i] == 0) 0 else tmp % strd[i];
+    }
+    return coords;
+}
+
+/// Encode N-D coordinates into a flat row-major index.
+/// Called only in comptime contexts.
+pub fn encodeFlatCoords(coords: []const usize, n: usize, strd: [n]usize) usize {
+    var flat: usize = 0;
+    for (0..n) |i| flat += coords[i] * strd[i];
+    return flat;
+}
+
+/// Rebuild a full coordinate array by inserting `val` at `axis` into `free`.
+/// `free` holds the remaining (non-contracted) coordinates in order.
+pub fn insertAxis(
+    comptime n: usize,
+    comptime axis: usize,
+    comptime val: usize,
+    comptime free: []const usize,
+) [n]usize {
+    var out: [n]usize = undefined;
+    var fi: usize = 0;
+    for (0..n) |i| {
+        if (i == axis) {
+            out[i] = val;
+        } else {
+            out[i] = free[fi];
+            fi += 1;
+        }
+    }
+    return out;
+}
+
+pub inline fn isInt(comptime T: type) bool {
+    return @typeInfo(T) == .int or @typeInfo(T) == .comptime_int;
+}
+
+pub fn finerScales(comptime T1: type, comptime T2: type) Scales {
+    const d1: Dimensions = T1.dims;
+    const d2: Dimensions = T2.dims;
+    const s1: Scales = T1.scales;
+    const s2: Scales = T2.scales;
+    comptime var out = Scales.initFill(.none);
+    for (std.enums.values(Dimension)) |dim| {
+        const scale1 = comptime s1.get(dim);
+        const scale2 = comptime s2.get(dim);
+        out.set(dim, if (comptime d1.get(dim) == 0 and d2.get(dim) == 0)
+            .none
+        else if (comptime d1.get(dim) == 0)
+            scale2
+        else if (comptime d2.get(dim) == 0)
+            scale1
+        else if (comptime scale1.getFactor() > scale2.getFactor())
+            scale2
+        else
+            scale1);
+    }
+    return out;
+}
+
+pub fn printSuperscript(writer: *std.Io.Writer, n: i32) !void {
+    if (n == 0) return;
+    var val = n;
+    if (val < 0) {
+        try writer.writeAll("\u{207B}");
+        val = -val;
+    }
+    var buf: [12]u8 = undefined;
+    const str = std.fmt.bufPrint(&buf, "{d}", .{val}) catch return;
+    for (str) |c| {
+        const s = switch (c) {
+            '0' => "\u{2070}",
+            '1' => "\u{00B9}",
+            '2' => "\u{00B2}",
+            '3' => "\u{00B3}",
+            '4' => "\u{2074}",
+            '5' => "\u{2075}",
+            '6' => "\u{2076}",
+            '7' => "\u{2077}",
+            '8' => "\u{2078}",
+            '9' => "\u{2079}",
+            else => unreachable,
+        };
+        try writer.writeAll(s);
+    }
+}

src/test.zig

@@ -0,0 +1,9 @@
+test {
+    _ = @import("TensorStatic.zig");
+    _ = @import("TensorAlloc.zig");
+    _ = @import("TensorGpu.zig");
+    _ = @import("Dimensions.zig");
+    _ = @import("Scales.zig");
+    _ = @import("Base.zig");
+    _ = @import("UnitParser.zig");
+}