//! Fixed-point decimal arithmetic.
//!
//! `FixedPoint<T, DECIMALS>` provides deterministic decimal arithmetic
//! over integer backing types. All operations return `Option` on overflow.
//!
//! ```ignore
//! type Amount = FixedPoint<u128, 18>;
//! let a = Amount::from_integer(100);
//! let b = Amount::from_decimal(3, 14).unwrap(); // 3.14
//! let c = a.checked_mul(b).unwrap();            // 314.00
//! ```

mod ops;
mod fmt;
mod convert;

/// Fixed-point decimal number backed by integer type `T` with
/// `DECIMALS` fractional digits.
///
/// The raw value is `value * 10^DECIMALS`. For example,
/// `FixedPoint<u64, 6>` with raw value `1_000_000` represents `1.0`.
#[derive(Clone, Copy, PartialEq, Eq, Hash)]
pub struct FixedPoint<T, const DECIMALS: u32> {
    raw: T,
}

impl<T, const DECIMALS: u32> FixedPoint<T, DECIMALS> {
    /// Construct from the raw underlying integer.
    ///
    /// The caller is responsible for interpreting the scale correctly.
    pub const fn from_raw(raw: T) -> Self {
        Self { raw }
    }

    /// Access the raw underlying integer value.
    pub const fn raw(&self) -> &T {
        &self.raw
    }

    /// Consume self and return the raw value.
    pub fn into_raw(self) -> T {
        self.raw
    }
}

// --- u64 specialization ---

impl<const DECIMALS: u32> FixedPoint<u64, DECIMALS> {
    /// The zero value.
    pub const ZERO: Self = Self { raw: 0 };

    /// The value `1.0` (i.e., `10^DECIMALS`), or `None` at compile time
    /// if it overflows `u64`.
    pub const ONE: Self = Self { raw: Self::scale_u64() };

    /// The maximum representable value.
    pub const MAX: Self = Self { raw: u64::MAX };

    /// Compute `10^DECIMALS` as a `u64`.
    ///
    /// Panics at compile time if the scale overflows `u64`.
    const fn scale_u64() -> u64 {
        let mut result = 1u64;
        let mut i = 0;
        while i < DECIMALS {
            // This will panic at compile time if scale overflows u64.
            result = result * 10;
            i += 1;
        }
        result
    }

    /// The scale factor `10^DECIMALS`.
    pub const fn scale() -> u64 {
        Self::scale_u64()
    }
}

// --- u128 specialization ---

impl<const DECIMALS: u32> FixedPoint<u128, DECIMALS> {
    /// The zero value.
    pub const ZERO: Self = Self { raw: 0 };

    /// The value `1.0` (i.e., `10^DECIMALS`).
    pub const ONE: Self = Self { raw: Self::scale_u128() };

    /// The maximum representable value.
    pub const MAX: Self = Self { raw: u128::MAX };

    /// Compute `10^DECIMALS` as a `u128`.
    const fn scale_u128() -> u128 {
        let mut result = 1u128;
        let mut i = 0;
        while i < DECIMALS {
            result = result * 10;
            i += 1;
        }
        result
    }

    /// The scale factor `10^DECIMALS`.
    pub const fn scale() -> u128 {
        Self::scale_u128()
    }
}

impl<T: PartialOrd, const DECIMALS: u32> PartialOrd for FixedPoint<T, DECIMALS> {
    fn partial_cmp(&self, other: &Self) -> Option<core::cmp::Ordering> {
        self.raw.partial_cmp(&other.raw)
    }
}

impl<T: Ord, const DECIMALS: u32> Ord for FixedPoint<T, DECIMALS> {
    fn cmp(&self, other: &Self) -> core::cmp::Ordering {
        self.raw.cmp(&other.raw)
    }
}

#[cfg(test)]
mod tests {
    use super::*;

    type Fp6 = FixedPoint<u64, 6>;
    type Fp18 = FixedPoint<u128, 18>;

    #[test]
    fn scale_values() {
        assert_eq!(Fp6::scale(), 1_000_000);
        assert_eq!(Fp18::scale(), 1_000_000_000_000_000_000);
    }

    #[test]
    fn zero_and_one() {
        assert_eq!(Fp6::ZERO.raw(), &0);
        assert_eq!(Fp6::ONE.raw(), &1_000_000);
    }

    #[test]
    fn ordering() {
        let a = Fp6::from_raw(100);
        let b = Fp6::from_raw(200);
        assert!(a < b);
    }
}

Homonyms

cyberia/src/components/mod.rs
cyberia/src/pages/mod.rs
cyb/optica/src/output/mod.rs
neural/trident/src/compile/mod.rs
cyb/optica/src/parser/mod.rs
soft3/nox/rs/data/mod.rs
neural/trident/src/api/mod.rs
soft3/mir/src/graph/mod.rs
cyb/optica/src/render/mod.rs
cyb/optica/src/scanner/mod.rs
soft3/cybergraph/tests/common/mod.rs
neural/trident/src/verify/mod.rs
soft3/tru/rs/model/mod.rs
neural/trident/src/diagnostic/mod.rs
soft3/mudra/src/proof/mod.rs
cyb/optica/src/graph/mod.rs
soft3/glia/import/loader/mod.rs
soft3/glia/run/backend/mod.rs
neural/trident/src/import/mod.rs
soft3/tru/rs/pass/mod.rs
soft3/mir/src/bevy/mod.rs
neural/trident/src/package/mod.rs
neural/trident/src/lsp/mod.rs
neural/trident/src/field/mod.rs
cyb/prysm/atoms/rs/mod.rs
soft3/tru/rs/graph/mod.rs
neural/trident/src/deploy/mod.rs
soft3/mir/src/epoch/mod.rs
neural/trident/src/runtime/mod.rs
soft3/glia/run/arch/mod.rs
neural/trident/src/typecheck/mod.rs
neural/trident/src/gpu/mod.rs
soft3/nox/rs/jets/mod.rs
soft3/glia/run/tokenizer/mod.rs
soft3/mir/src/frame/mod.rs
neural/trident/src/ir/mod.rs
neural/trident/src/config/mod.rs
soft3/nox/rs/patterns/mod.rs
neural/trident/src/cost/mod.rs
soft3/glia/run/ir/mod.rs
neural/trident/src/cli/mod.rs
soft3/tru/rs/focusing/mod.rs
neural/trident/src/neural/mod.rs
cyb/optica/src/query/mod.rs
cyb/prysm/system/rs/mod.rs
neural/trident/src/ast/mod.rs
soft3/glia/run/bench/mod.rs
cyb/prysm/molecules/rs/mod.rs
cyb/optica/src/server/mod.rs
soft3/glia/run/core/mod.rs
neural/trident/src/syntax/mod.rs
cyb/honeycrisp/acpu/src/vector/mod.rs
soft3/glia/run/backend/cpu/mod.rs
soft3/zheng/rs/src/spartan/mod.rs
soft3/bbg/rs/src/storage/mod.rs
neural/trident/src/config/resolve/mod.rs
cyb/honeycrisp/aruminium/src/ffi/mod.rs
cyb/cyb/cyb-shell/src/worlds/mod.rs
cyb/wysm/crates/wasi/tests/mod.rs
soft3/zheng/rs/src/ccs/mod.rs
neural/trident/src/package/store/mod.rs
cyb/cyb/cyb-shell/src/shell/mod.rs
cyb/wysm/crates/wasmi/tests/mod.rs
neural/trident/src/verify/synthesize/mod.rs
cyb/honeycrisp/acpu/src/field/mod.rs
neural/rs/macros/src/addressed/mod.rs
soft3/glia/run/cli/cmd/mod.rs
neural/trident/src/cost/stack_verifier/mod.rs
neural/eidos/rs/src/stdlib/mod.rs
neural/trident/src/verify/sym/mod.rs
neural/trident/src/syntax/format/mod.rs
neural/trident/src/syntax/grammar/mod.rs
neural/trident/src/lsp/util/mod.rs
neural/rs/rsc/src/lints/mod.rs
neural/trident/src/typecheck/tests/mod.rs
neural/eidos/rs/src/surface/mod.rs
soft3/mir/src/frame/tiers/mod.rs
cyb/honeycrisp/acpu/src/pulse/mod.rs
neural/trident/src/ir/lir/mod.rs
neural/trident/src/package/registry/mod.rs
neural/trident/src/neural/model/mod.rs
neural/trident/src/package/hash/mod.rs
cyb/honeycrisp/acpu/src/sync/mod.rs
soft3/glia/run/arch/decoder/mod.rs
neural/trident/src/verify/report/mod.rs
neural/trident/src/ir/tir/mod.rs
cyb/honeycrisp/rane/src/mil/mod.rs
cyb/honeycrisp/acpu/src/crypto/mod.rs
soft3/zheng/rs/src/folding/mod.rs
neural/trident/src/ir/tree/mod.rs
cyb/honeycrisp/acpu/src/matrix/mod.rs
soft3/glia/run/backend/honeycrisp/mod.rs
neural/eidos/rs/src/elab/mod.rs
neural/rs/macros/src/registers/mod.rs
neural/trident/src/verify/solve/mod.rs
neural/trident/src/syntax/parser/mod.rs
neural/trident/src/neural/data/mod.rs
neural/trident/src/verify/smt/mod.rs
soft3/radio/iroh-blobs/examples/common/mod.rs
soft3/strata/nebu/rs/extension/mod.rs
neural/rs/darwin-sys/src/ffi/mod.rs
cyb/honeycrisp/acpu/src/sparse/mod.rs
soft3/glia/run/backend/wgpu/mod.rs
neural/rs/core/src/bounded/mod.rs
neural/eidos/rs/src/tactic_ext/mod.rs
neural/trident/src/cost/model/mod.rs
cyb/wysm/crates/wast/tests/mod.rs
soft3/radio/iroh-blobs/src/store/mod.rs
neural/trident/src/package/manifest/mod.rs
cyb/cyb/cyb-shell/src/agent/mod.rs
neural/trident/src/neural/training/mod.rs
neural/trident/src/verify/equiv/mod.rs
neural/trident/src/syntax/lexer/mod.rs
cyb/honeycrisp/acpu/src/numeric/mod.rs
soft3/radio/cyber-bao/src/io/mod.rs
neural/trident/src/ir/kir/mod.rs
cyb/honeycrisp/aruminium/src/render/mod.rs
neural/trident/src/neural/inference/mod.rs
cyb/honeycrisp/acpu/src/probe/mod.rs
neural/trident/src/api/tests/mod.rs
cyb/honeycrisp/acpu/src/gemm/mod.rs
soft3/nox/rs/jets/backends/mod.rs
neural/trident/src/lsp/semantic/mod.rs
neural/rs/macros/src/cell/mod.rs
neural/trident/src/config/scaffold/mod.rs
soft3/zheng/rs/src/sumcheck/mod.rs
cyb/evy/forks/bevy_ecs/src/entity/mod.rs
neural/trident/src/ir/tir/builder/mod.rs
cyb/evy/forks/bevy_ecs/src/system/mod.rs
cyb/evy/forks/bevy_sprite_render/src/render/mod.rs
soft3/strata/jali/wgsl/src/shaders/mod.rs
cyb/evy/forks/bevy_core_pipeline/src/tonemapping/mod.rs
cyb/evy/forks/bevy_anti_alias/src/dlss/mod.rs
cyb/evy/forks/bevy_core_pipeline/src/skybox/mod.rs
cyb/evy/forks/bevy_sprite_render/src/text2d/mod.rs
cyb/evy/forks/bevy_render/src/batching/mod.rs
cyb/evy/forks/bevy_core_pipeline/src/experimental/mod.rs
cyb/evy/forks/bevy_core_pipeline/src/oit/mod.rs
cyb/evy/forks/bevy_sprite_render/src/tilemap_chunk/mod.rs
cyb/evy/forks/bevy_pbr/src/atmosphere/mod.rs
cyb/evy/forks/bevy_post_process/src/motion_blur/mod.rs
cyb/wysm/crates/wasmi/src/store/mod.rs
cyb/evy/forks/bevy_render/src/render_graph/mod.rs
cyb/wysm/crates/wasmi/benches/bench/mod.rs
cyb/evy/forks/bevy_anti_alias/src/contrast_adaptive_sharpening/mod.rs
neural/trident/src/ir/tir/stack/mod.rs
cyb/evy/forks/bevy_render/src/texture/mod.rs
cyb/wysm/crates/c_api/src/types/mod.rs
soft3/strata/genies/wgsl/src/shaders/mod.rs
cyb/wysm/crates/core/src/memory/mod.rs
bootloader/go-cyber/mcp/rust/src/proto/mod.rs
cyb/evy/forks/bevy_ecs/src/bundle/mod.rs
cyb/evy/forks/bevy_mesh/src/primitives/mod.rs
cyb/evy/forks/bevy_ecs/src/schedule/mod.rs
cyb/wysm/crates/wasmi/src/module/mod.rs
cyb/evy/forks/bevy_sprite/src/texture_slice/mod.rs
cyb/evy/forks/bevy_ecs/src/observer/mod.rs
neural/trident/src/ir/tir/neural/mod.rs
cyb/evy/forks/bevy_render/src/view/mod.rs
neural/trident/src/ir/lir/lower/mod.rs
cyb/evy/forks/bevy_anti_alias/src/smaa/mod.rs
bootloader/go-cyber/mcp/rust/src/clients/mod.rs
cyb/evy/forks/bevy_core_pipeline/src/fullscreen_vertex_shader/mod.rs
cyb/wysm/crates/wasmi/tests/integration/mod.rs
cyb/wysm/crates/ir/src/decode/mod.rs
cyb/wysm/crates/wasmi/src/memory/mod.rs
cyb/evy/crates/evy_prysm_core/src/layout/mod.rs
cyb/evy/forks/bevy_anti_alias/src/fxaa/mod.rs
cyb/evy/forks/bevy_pbr/src/prepass/mod.rs
cyb/evy/forks/bevy_render/src/render_resource/mod.rs
cyb/evy/forks/bevy_ecs/src/query/mod.rs
cyb/evy/forks/bevy_core_pipeline/src/core_2d/mod.rs
cyb/wysm/crates/cli/src/commands/mod.rs
cyb/evy/forks/bevy_render/src/renderer/mod.rs
cyb/wysm/crates/collections/src/arena/mod.rs
cyb/evy/forks/bevy_post_process/src/effect_stack/mod.rs
cyb/evy/forks/bevy_ecs/src/change_detection/mod.rs
cyb/evy/forks/bevy_pbr/src/ssao/mod.rs
cyb/evy/forks/naga/src/keywords/mod.rs
cyb/evy/forks/naga/src/compact/mod.rs
neural/trident/src/ir/tir/lower/mod.rs
cyb/evy/forks/bevy_pbr/src/render/mod.rs
cyb/evy/forks/bevy_ecs/src/world/mod.rs
cyb/evy/forks/bevy_anti_alias/src/taa/mod.rs
cyb/evy/forks/bevy_ecs/src/reflect/mod.rs
soft3/strata/kuro/wgsl/src/shaders/mod.rs
cyb/evy/forks/bevy_ecs/src/error/mod.rs
neural/trident/src/ir/kir/lower/mod.rs
cyb/evy/forks/naga/src/proc/mod.rs
cyb/evy/forks/bevy_ecs/src/event/mod.rs
cyb/evy/forks/bevy_ecs/src/component/mod.rs
cyb/evy/forks/bevy_sprite_render/src/mesh2d/mod.rs
cyb/evy/forks/bevy_ecs/src/relationship/mod.rs
cyb/wysm/crates/wasmi/src/instance/mod.rs
cyb/evy/forks/bevy_pbr/src/ssr/mod.rs
bootloader/go-cyber/mcp/rust/src/tools/mod.rs
soft3/glia/run/backend/honeycrisp/kernels/mod.rs
cyb/evy/forks/naga/src/back/mod.rs
soft3/glia/run/backend/cpu/quant/mod.rs
cyb/wysm/crates/core/src/table/mod.rs
cyb/evy/forks/bevy_post_process/src/dof/mod.rs
cyb/evy/forks/bevy_pbr/src/light_probe/mod.rs
cyb/evy/forks/bevy_core_pipeline/src/prepass/mod.rs
cyb/evy/forks/bevy_core_pipeline/src/upscaling/mod.rs
cyb/wysm/crates/wasmi/src/table/mod.rs
cyb/evy/forks/bevy_post_process/src/bloom/mod.rs
cyb/evy/forks/bevy_pbr/src/lightmap/mod.rs
neural/trident/src/ir/tir/optimize/mod.rs
cyb/evy/forks/bevy_gizmos/src/primitives/mod.rs
cyb/evy/forks/bevy_post_process/src/auto_exposure/mod.rs
neural/trident/src/neural/data/tir_graph/mod.rs
cyb/evy/forks/bevy_render/src/experimental/mod.rs
cyb/wysm/crates/wasmi/src/engine/mod.rs
cyb/evy/forks/bevy_core_pipeline/src/deferred/mod.rs
cyb/evy/forks/naga/src/arena/mod.rs
cyb/evy/forks/bevy_render/src/diagnostic/mod.rs
cyb/evy/forks/bevy_render/src/render_phase/mod.rs
cyb/evy/forks/bevy_transform/src/components/mod.rs
soft3/strata/trop/wgsl/src/shaders/mod.rs
soft3/glia/run/backend/wgpu/kernels/mod.rs
cyb/evy/forks/bevy_sprite_render/src/texture_slice/mod.rs
cyb/evy/forks/bevy_core_pipeline/src/core_3d/mod.rs
cyb/evy/forks/bevy_render/src/mesh/mod.rs
neural/trident/src/ir/tree/lower/mod.rs
cyb/evy/forks/bevy_pbr/src/volumetric_fog/mod.rs
cyb/evy/forks/bevy_pbr/src/decal/mod.rs
cyb/wysm/crates/fuzz/src/oracle/mod.rs
cyb/evy/forks/bevy_ecs/src/message/mod.rs
cyb/evy/forks/naga/src/valid/mod.rs
cyb/evy/forks/bevy_core_pipeline/src/blit/mod.rs
cyb/evy/forks/naga/src/front/mod.rs
cyb/wysm/crates/wasi/src/sync/mod.rs
cyb/evy/forks/bevy_pbr/src/meshlet/mod.rs
cyb/evy/forks/bevy_pbr/src/deferred/mod.rs
neural/trident/src/syntax/parser/tests/mod.rs
cyb/evy/forks/bevy_ecs/src/storage/mod.rs
cyb/evy/forks/bevy_tasks/src/iter/mod.rs
soft3/glia/run/arch/decoder/families/mod.rs
cyb/wysm/crates/wasmi/src/func/mod.rs
cyb/evy/forks/naga/src/common/mod.rs
cyb/evy/forks/naga/src/front/wgsl/mod.rs
cyb/evy/forks/naga/src/back/spv/mod.rs
cyb/evy/forks/naga/src/back/dot/mod.rs
cyb/evy/forks/bevy_render/src/view/window/mod.rs
cyb/wysm/crates/wasi/src/sync/snapshots/mod.rs
cyb/evy/forks/bevy_render/src/experimental/occlusion_culling/mod.rs
cyb/evy/forks/bevy_ecs/src/schedule/graph/mod.rs
cyb/wysm/crates/wasmi/src/engine/translator/mod.rs
cyb/wysm/crates/wasmi/src/module/parser/mod.rs
cyb/wysm/crates/wasmi/src/engine/limits/mod.rs
cyb/wysm/crates/wasmi/src/engine/executor/mod.rs
cyb/evy/forks/bevy_ecs/src/system/commands/mod.rs
cyb/evy/forks/naga/src/back/wgsl/mod.rs
cyb/evy/forks/bevy_core_pipeline/src/oit/resolve/mod.rs
cyb/wysm/crates/wasmi/src/module/instantiate/mod.rs
cyb/evy/forks/bevy_core_pipeline/src/experimental/mip_generation/mod.rs
cyb/evy/forks/bevy_ecs/src/storage/table/mod.rs
bootloader/go-cyber/cw/packages/cyber-std/src/tokenfactory/mod.rs
cyb/evy/forks/bevy_render/src/view/visibility/mod.rs
cyb/evy/forks/bevy_ecs/src/schedule/executor/mod.rs
cyb/evy/forks/naga/src/front/spv/mod.rs
cyb/evy/forks/naga/src/back/msl/mod.rs
cyb/evy/forks/naga/src/front/glsl/mod.rs
cyb/evy/forks/bevy_ecs/src/world/entity_access/mod.rs
cyb/evy/forks/bevy_mesh/src/primitives/dim3/mod.rs
cyb/evy/forks/naga/src/back/glsl/mod.rs
cyb/evy/forks/naga/src/back/hlsl/mod.rs
struct Baz { m: mat3x2, } struct Baz { float2 m_0; float2 m_1; float2 m_2; }; float3x2 GetMatmOnBaz(Baz obj) { return float3x2(obj.m_0, obj.m_1, obj.m_2); }
cyb/wysm/crates/wasmi/src/engine/executor/handler/mod.rs
cyb/wysm/crates/wasmi/src/engine/translator/func/mod.rs
cyb/evy/forks/naga/src/front/wgsl/parse/mod.rs
cyb/evy/forks/naga/src/back/wgsl/polyfill/mod.rs
cyb/evy/forks/naga/src/front/wgsl/lower/mod.rs
cyb/wysm/crates/wasmi/src/engine/translator/func/simd/mod.rs
cyb/wysm/crates/wasmi/src/engine/translator/func/stack/mod.rs
cyb/wysm/crates/wasmi/src/engine/executor/handler/dispatch/mod.rs

Graph