Remove dependency on linA

Project.toml

@@ -7,7 +7,6 @@ version = "0.0.0"
 Ipopt = "b6b21f68-93f8-5de0-b562-5493be1d77c9"
 JuMP = "4076af6c-e467-56ae-b986-b466b2749572"
 Juniper = "2ddba703-00a4-53a7-87a5-e8b9971dde84"
-LinA = "f599c993-2677-4f60-8998-71feb0f665db"
 LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 MakieCore = "20f20a25-4f0e-4fdf-b5d1-57303727442b"
 Polynomials = "f27b6e38-b328-58d1-80ce-0feddd5e7a45"

src/components/abstract_types.jl

@@ -40,8 +40,6 @@ abstract type ReadoutComponent <: EventComponent end
     split_times(component, t1, t2, precision)
 
 Indicates at what timepoints a given [`BaseComponent`](@ref) should be split during linearisation to achieve the given precision.
-
-For non-linear components this will use [`LinA.jl`](https://github.com/LICO-labs/LinA.jl) under the hood.
 """
 function split_times end
 

src/components/pulses/sinc_pulses.jl

 module SincPulses
 import JuMP: @constraint
 import QuadGK: quadgk
-import LinA
 import ....BuildSequences: global_model
 import ....Variables: duration, amplitude, effective_time, flip_angle, phase, inverse_bandwidth, VariableType, set_simple_constraints!, frequency, make_generic, get_free_variable
 import ...AbstractTypes: RFPulseComponent, split_times
@@ -103,11 +102,10 @@ function make_generic(block::SincPulse)
 end
 
 function split_times(block::SincPulse, t1, t2, precision)
-    real_amplitude_precision = precision * amplitude(block)
-    pwl = LinA.Linearize(t -> amplitude(block, t), t1, t2, LinA.Absolute(real_amplitude_precision))
-    times = [part.xMin for part in pwl]
-    push!(times, t2)
-    return times
+    max_second_derivative = π^2/3 * (amplitude(block) / lobe_duration(block))^2
+    step_size = sqrt(2 * precision / max_second_derivative)
+    npoints = Int(div(t2 - t1, step_size, RoundUp))
+    return range(t1, t2, length=npoints)
 end
 
 end
\ No newline at end of file

src/containers/linearise.jl

 module Linearise
-import LinA
 import StaticArrays: SVector
 import ...Components: GradientWaveform, split_times
 import ...Variables: amplitude, phase, gradient_strength3, duration