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| import SciLean.Core.Notation.CDeriv | ||
| import SciLean.Core.Notation.Gradient | ||
| import SciLean.Core.Notation.FwdCDeriv | ||
| import SciLean.Core.Notation.RevCDeriv | ||
| import SciLean.Core.FloatAsReal | ||
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| open SciLean | ||
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| variable {K} [RealScalar K] | ||
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| set_default_scalar K | ||
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| #check ∂ (fun x : K => x*x) | ||
| #check ∂ (fun x => x*x) 1 | ||
| #check ∂ (x:=(1:K)), x*x | ||
| #check ∂ (x:=1), x*x | ||
| #check ∂ (x:=0.1), x*x | ||
| #check ∂ (x:=((1:K),(2:K))), (x + x) | ||
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| #check ∂! (fun x : K => x^2) | ||
| #check ∂! (fun x : K×K => x + x) | ||
| #check ∂! (fun x => x*x) 1 | ||
| #check ∂! (x:=((1:K),(2:K))), (x + x) | ||
| #check ∂! (x:=1), x*x | ||
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| variable {X} [Vec K X] (f : X → X) | ||
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| #check ∂ (x:=0), f x | ||
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| set_default_scalar Float | ||
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| #eval ∂! (fun x => x^2) 1 | ||
| #eval ∂! (fun x => x*x) 1 | ||
| #eval ∂! (x:=1), x*x | ||
| #eval ∂! (fun x => x + x) (1.0,2.0) (1.0,0.0) | ||
| #eval ∂! (x:=(1.0,2.0);(1.0,0.0)), (x + x) | ||
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| -------------------------------------------------------------------------------- | ||
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| set_default_scalar K | ||
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| #check ∇ x : (K×K), x.1 | ||
| #check ∇! x : (K×K), x.1 | ||
| #check ∇! x : (K×K), x.2 | ||
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| variable (y : K × K) | ||
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| #check ∇ (x:=y), (x + x) | ||
| #check ∇ (fun x => x + x) y | ||
| #check ∇ (fun x => x + x) ((1.0,2.0) : K×K) | ||
| #check (∇! x : (K×K), ⟪x,(1,0)⟫) | ||
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| set_default_scalar Float | ||
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| #eval ∇! (fun x => x^2) 1 | ||
| #eval ∇! (fun x => x*x) 1 | ||
| #eval ∇! (x:=1), x*x | ||
| #eval ∇! (fun x : Float×Float => (x + x).2) (1.0,2.0) | ||
| #eval ∇! (x:=((1.0 : Float),(2.0:Float))), (x + x).1 | ||
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| -------------------------------------------------------------------------------- | ||
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| set_default_scalar K | ||
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| #check ∂>! x : K×K, (x.1 + x.2*x.1) | ||
| #check ∂>! x:=(1:K);2, (x + x*x) | ||
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| -------------------------------------------------------------------------------- | ||
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| set_default_scalar K | ||
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| #check <∂! x : K×K, (x.1 + x.2*x.1) | ||
| #check <∂! x:=(1:K), (x + x*x) | ||
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