From 5eb628a59f13ae11e63a85327ba11c627ca066c6 Mon Sep 17 00:00:00 2001
From: Kristoffer Carlsson <kcarlsson89@gmail.com>
Date: Wed, 19 Sep 2018 22:24:06 -0400
Subject: [PATCH] also do linalg

---
 src/linalg.jl | 87 ++++++++++++++++++---------------------------------
 1 file changed, 31 insertions(+), 56 deletions(-)

diff --git a/src/linalg.jl b/src/linalg.jl
index 45273d0ed..1e4267a96 100644
--- a/src/linalg.jl
+++ b/src/linalg.jl
@@ -224,35 +224,25 @@ end
 
 @inline dot(a::StaticVector, b::StaticVector) = _vecdot(same_size(a, b), a, b)
 @generated function _vecdot(::Size{S}, a::StaticArray, b::StaticArray) where {S}
-    if prod(S) == 0
-        return :(zero(promote_op(*, eltype(a), eltype(b))))
-    end
-
-    expr = :(conj(a[1]) * b[1])
-    for j = 2:prod(S)
-        expr = :($expr + conj(a[$j]) * b[$j])
-    end
-
     return quote
         @_inline_meta
-        @inbounds return $expr
+        s = zero(promote_op(*, eltype(a), eltype(b)))
+        @inbounds @simd for j = 1:$(prod(S))
+            s += conj(a[j]) * b[j]
+        end
+        return s
     end
 end
 
 @inline bilinear_vecdot(a::StaticArray, b::StaticArray) = _bilinear_vecdot(same_size(a, b), a, b)
 @generated function _bilinear_vecdot(::Size{S}, a::StaticArray, b::StaticArray) where {S}
-    if prod(S) == 0
-        return :(zero(promote_op(*, eltype(a), eltype(b))))
-    end
-
-    expr = :(a[1] * b[1])
-    for j = 2:prod(S)
-        expr = :($expr + a[$j] * b[$j])
-    end
-
     return quote
         @_inline_meta
-        @inbounds return $expr
+        s = zero(promote_op(*, eltype(a), eltype(b)))
+        @inbounds @simd for j = 1:$(prod(S))
+            s += a[j] * b[j]
+        end
+        return s
     end
 end
 
@@ -260,18 +250,13 @@ end
 
 @inline norm(a::StaticArray) = _norm(Size(a), a)
 @generated function _norm(::Size{S}, a::StaticArray) where {S}
-    if prod(S) == 0
-        return zero(real(eltype(a)))
-    end
-
-    expr = :(abs2(a[1]))
-    for j = 2:prod(S)
-        expr = :($expr + abs2(a[$j]))
-    end
-
     return quote
-        $(Expr(:meta, :inline))
-        @inbounds return sqrt($expr)
+        @_inline_meta
+        s = zero(real(eltype(a)))
+        @inbounds @simd for j = 1:$(prod(S))
+            s += abs2(a[j])
+        end
+        return sqrt(s)
     end
 end
 
@@ -279,32 +264,25 @@ _norm_p0(x) = x == 0 ? zero(x) : one(x)
 
 @inline norm(a::StaticArray, p::Real) = _norm(Size(a), a, p)
 @generated function _norm(::Size{S}, a::StaticArray, p::Real) where {S}
-    if prod(S) == 0
-        return zero(real(eltype(a)))
-    end
-
-    expr = :(abs(a[1])^p)
-    for j = 2:prod(S)
-        expr = :($expr + abs(a[$j])^p)
-    end
-
-    expr_p1 = :(abs(a[1]))
-    for j = 2:prod(S)
-        expr_p1 = :($expr_p1 + abs(a[$j]))
-    end
-
     return quote
-        $(Expr(:meta, :inline))
+        @_inline_meta
+        s = zero(real(eltype(a)))
         if p == Inf
             return mapreduce(abs, max, a; init=$(zero(real(eltype(a)))))
         elseif p == 1
-            @inbounds return $expr_p1
+            @inbounds @simd for j = 1:$(prod(S))
+                s += abs(a[j])
+            end
+            return s
         elseif p == 2
             return norm(a)
         elseif p == 0
             return mapreduce(_norm_p0, +, a; init=$(zero(real(eltype(a)))))
         else
-            @inbounds return ($expr)^(inv(p))
+            @inbounds @simd for j = 1:$(prod(S))
+                s += abs(a[j])^p
+            end
+            return s^(inv(p))
         end
     end
 end
@@ -321,16 +299,13 @@ end
         throw(DimensionMismatch("matrix is not square"))
     end
 
-    if S[1] == 0
-        return zero(eltype(a))
-    end
-
-    exprs = [:(a[$(LinearIndices(S)[i, i])]) for i = 1:S[1]]
-    total = reduce((ex1, ex2) -> :($ex1 + $ex2), exprs)
-
     return quote
         @_inline_meta
-        @inbounds return $total
+        s = zero(eltype(a))
+        @inbounds @simd for i in 1:$(S[1])
+            s += a[i,i]
+        end
+        return s
     end
 end