Documentation

Init.Data.FloatArray.Basic

structure FloatArray :
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    @[extern lean_mk_empty_float_array]
    Equations
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      @[extern lean_float_array_push]
      Equations
      • x✝.push x = match x✝, x with | { data := ds }, b => { data := ds.push b }
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        @[extern lean_float_array_size]
        Equations
        • x.size = match x with | { data := ds } => ds.size
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          @[extern lean_float_array_uget]
          def FloatArray.uget (a : FloatArray) (i : USize) :
          i.toNat < a.sizeFloat
          Equations
          • x✝¹.uget x✝ x = match x✝¹, x✝, x with | { data := ds }, i, h => ds[i]
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            @[extern lean_float_array_fget]
            def FloatArray.get (ds : FloatArray) :
            Fin ds.sizeFloat
            Equations
            • x✝.get x = match x✝, x with | { data := ds }, i => ds.get i
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              @[extern lean_float_array_get]
              Equations
              • x✝.get! x = match x✝, x with | { data := ds }, i => ds.get! i
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                • ds.get? i = if h : i < ds.size then some (ds.get i, h) else none
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                  @[extern lean_float_array_uset]
                  def FloatArray.uset (a : FloatArray) (i : USize) :
                  Floati.toNat < a.sizeFloatArray
                  Equations
                  • x✝².uset x✝¹ x✝ x = match x✝², x✝¹, x✝, x with | { data := ds }, i, v, h => { data := ds.uset i v h }
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                    @[extern lean_float_array_fset]
                    def FloatArray.set (ds : FloatArray) :
                    Fin ds.sizeFloatFloatArray
                    Equations
                    • x✝¹.set x✝ x = match x✝¹, x✝, x with | { data := ds }, i, d => { data := ds.set i d }
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                      @[extern lean_float_array_set]
                      Equations
                      • x✝¹.set! x✝ x = match x✝¹, x✝, x with | { data := ds }, i, d => { data := ds.set! i d }
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                        Equations
                        • s.isEmpty = (s.size == 0)
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                            @[inline]
                            unsafe def FloatArray.forInUnsafe {β : Type v} {m : Type v → Type w} [Monad m] (as : FloatArray) (b : β) (f : Floatβm (ForInStep β)) :
                            m β

                            We claim this unsafe implementation is correct because an array cannot have more than usizeSz elements in our runtime. This is similar to the Array version.

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                              @[specialize #[]]
                              unsafe def FloatArray.forInUnsafe.loop {β : Type v} {m : Type v → Type w} [Monad m] (as : FloatArray) (f : Floatβm (ForInStep β)) (sz : USize) (i : USize) (b : β) :
                              m β
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                              • One or more equations did not get rendered due to their size.
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                                @[implemented_by FloatArray.forInUnsafe]
                                def FloatArray.forIn {β : Type v} {m : Type v → Type w} [Monad m] (as : FloatArray) (b : β) (f : Floatβm (ForInStep β)) :
                                m β

                                Reference implementation for forIn

                                Equations
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                                  def FloatArray.forIn.loop {β : Type v} {m : Type v → Type w} [Monad m] (as : FloatArray) (f : Floatβm (ForInStep β)) (i : Nat) (h : i as.size) (b : β) :
                                  m β
                                  Equations
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                                    Equations
                                    • FloatArray.instForInFloat = { forIn := fun {β : Type u_1} [Monad m] => FloatArray.forIn }
                                    @[inline]
                                    unsafe def FloatArray.foldlMUnsafe {β : Type v} {m : Type v → Type w} [Monad m] (f : βFloatm β) (init : β) (as : FloatArray) (start : optParam Nat 0) (stop : optParam Nat as.size) :
                                    m β

                                    See comment at forInUnsafe

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                                    • One or more equations did not get rendered due to their size.
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                                      @[specialize #[]]
                                      unsafe def FloatArray.foldlMUnsafe.fold {β : Type v} {m : Type v → Type w} [Monad m] (f : βFloatm β) (as : FloatArray) (i : USize) (stop : USize) (b : β) :
                                      m β
                                      Equations
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                                        @[implemented_by FloatArray.foldlMUnsafe]
                                        def FloatArray.foldlM {β : Type v} {m : Type v → Type w} [Monad m] (f : βFloatm β) (init : β) (as : FloatArray) (start : optParam Nat 0) (stop : optParam Nat as.size) :
                                        m β

                                        Reference implementation for foldlM

                                        Equations
                                        • One or more equations did not get rendered due to their size.
                                        Instances For
                                          def FloatArray.foldlM.loop {β : Type v} {m : Type v → Type w} [Monad m] (f : βFloatm β) (as : FloatArray) (stop : Nat) (h : stop as.size) (i : Nat) (j : Nat) (b : β) :
                                          m β
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                                          • One or more equations did not get rendered due to their size.
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                                            @[inline]
                                            def FloatArray.foldl {β : Type v} (f : βFloatβ) (init : β) (as : FloatArray) (start : optParam Nat 0) (stop : optParam Nat as.size) :
                                            β
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