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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,82 @@ | ||
| """ | ||
| t_unit = unit_time(t, time_range) | ||
| The `unit_time` function normalizes a given array of time values t | ||
| to a unit interval [0, 1] based on a specified start time `t_start` and end time `t_end`. | ||
| This function is used for non-periodic motions, where each element of t is transformed | ||
| to fit within the range [0, 1] based on the provided start and end times. | ||
|  | ||
| # Arguments | ||
| - `t`: (`::AbstractArray{T<:Real}`, `[s]`) array of time values to be normalized | ||
| - `time_range`: (`::TimeRange{T<:Real}`, `[s]`) time interval (defined by `t_start` and `t_end`) over which we want to normalise | ||
| # Returns | ||
| - `t_unit`: (`::AbstractArray{T<:Real}`, `[s]`) array of normalized time values | ||
| # Examples | ||
| ```julia-repl | ||
| julia> t_unit = KomaMRIBase.unit_time([0.0, 1.0, 2.0, 3.0, 4.0, 5.0], TimeRange(1.0, 4.0)) | ||
| 6-element Vector{Float64}: | ||
| 0.0 | ||
| 0.0 | ||
| 0.333 | ||
| 0.666 | ||
| 1.0 | ||
| 1.0 | ||
| ``` | ||
| """ | ||
| function unit_time(t::AbstractArray{T}, ts::TimeRange{T}) where {T<:Real} | ||
| if ts.t_start == ts.t_end | ||
| return (t .>= ts.t_start) .* oneunit(T) | ||
| else | ||
| tmp = max.((t .- ts.t_start) ./ (ts.t_end - ts.t_start), zero(T)) | ||
| t = min.(tmp, oneunit(T)) | ||
| # _ = sum(t) # Dummy (oneAPI bug) | ||
| KA.synchronize(KA.get_backend(t)) | ||
| return t | ||
| end | ||
| end | ||
| """ | ||
| t_unit = unit_time(t, periodic) | ||
| The `unit_time` function normalizes a given array | ||
| of time values t to a unit interval [0, 1] for periodic motions, | ||
| based on a specified period and an asymmetry factor. | ||
| This function is useful for creating triangular waveforms | ||
| or normalizing time values in periodic processes. | ||
|  | ||
| # Arguments | ||
| - `t`: (`::AbstractArray{T<:Real}`, `[s]`) array of time values to be normalized | ||
| - `periodic`: (`::Periodic{T<:Real}`, `[s]`) information about the `period` and the temporal `asymmetry` | ||
| # Returns | ||
| - `t_unit`: (`::AbstractArray{T<:Real}`, `[s]`) array of normalized time values | ||
| # Examples | ||
| ```julia-repl | ||
| julia> t_unit = KomaMRIBase.unit_time([0.0, 1.0, 2.0, 3.0, 4.0, 5.0], Periodic(4.0, 0.5)) | ||
| 6-element Vector{Float64}: | ||
| 0.0 | ||
| 0.5 | ||
| 1.0 | ||
| 0.5 | ||
| 0.0 | ||
| 0.5 | ||
| ``` | ||
| """ | ||
| function unit_time(t::AbstractArray{T}, ts::Periodic{T}) where {T<:Real} | ||
| t_rise = ts.period * ts.asymmetry | ||
| t_fall = ts.period * (oneunit(T) - ts.asymmetry) | ||
| t_relative = mod.(t, ts.period) | ||
| if t_rise == 0 | ||
| t_unit = ifelse.(t_relative .< t_rise, zero(T), oneunit(T) .- t_relative ./ t_fall) | ||
| elseif t_fall == 0 | ||
| t_unit = ifelse.(t_relative .< t_rise, t_relative ./ t_rise, oneunit(T)) | ||
| else | ||
| t_unit = ifelse.( t_relative .< t_rise, t_relative ./ t_rise, oneunit(T) .- (t_relative .- t_rise) ./ t_fall) | ||
| end | ||
| return t_unit | ||
| end |