diff --git a/src/algorithms.jl b/src/algorithms.jl
index d4b2bb0a..ea260aa2 100644
--- a/src/algorithms.jl
+++ b/src/algorithms.jl
@@ -143,3 +143,39 @@ macro functiondef(f)
                    Core.@__doc__ $f, $f!
                end)
 end
+
+"""
+    @check_scalar(x, y, [op], [eltype])
+
+Check if `eltype(x) == op(eltype(y))` and throw an error if not.
+By default `op = identity` and `eltype = eltype'.
+"""
+macro check_scalar(x, y, op=:identity, eltype=:eltype)
+    error_message = "Unexpected scalar type: "
+    error_message *= string(eltype) * "(" * string(x) * ")"
+    if op == :identity
+        error_message *= " != " * string(eltype) * "(" * string(y) * ")"
+    else
+        error_message *= " != " * string(op) * "(" * string(eltype) * "(" * string(y) * "))"
+    end
+    return esc(quote
+                   $eltype($x) == $op($eltype($y)) || throw(ArgumentError($error_message))
+               end)
+end
+
+"""
+    @check_size(x, sz, [size])
+
+Check if `size(x) == sz` and throw an error if not.
+By default, `size = size`.
+"""
+macro check_size(x, sz, size=:size)
+    msgstart = string(size) * "(" * string(x) * ") = "
+    err = gensym()
+    return esc(quote
+                   szx = $size($x)
+                   $err = $msgstart * string(szx) * " instead of expected value " *
+                          string($sz)
+                   szx == $sz || throw(DimensionMismatch($err))
+               end)
+end
\ No newline at end of file
diff --git a/src/implementations/decompositions.jl b/src/implementations/decompositions.jl
index e6880f6b..d886588a 100644
--- a/src/implementations/decompositions.jl
+++ b/src/implementations/decompositions.jl
@@ -10,19 +10,19 @@
 # QR, LQ, QL, RQ Decomposition
 # ----------------------------
 """
-    LAPACK_HoudeholderQR(; blocksize, positive = false, pivoted = false)
+    LAPACK_HouseholderQR(; blocksize, positive = false, pivoted = false)
 
 Algorithm type to denote the standard LAPACK algorithm for computing the QR decomposition of
 a matrix using Householder reflectors. The specific LAPACK function can be controlled using
 the keyword arugments, i.e.  `?geqrt` will be chosen if `blocksize > 1`. With
 `blocksize == 1`, `?geqrf` will be chosen if `pivoted == false` and `?geqp3` will be chosen
-if `pivoted == true`. The keyword `positive =true` can be used to ensure that the diagonal
+if `pivoted == true`. The keyword `positive=true` can be used to ensure that the diagonal
 elements of `R` are non-negative.
 """
 @algdef LAPACK_HouseholderQR
 
 """
-    LAPACK_HoudeholderLQ(; blocksize, positive = false)
+    LAPACK_HouseholderLQ(; blocksize, positive = false)
 
 Algorithm type to denote the standard LAPACK algorithm for computing the LQ decomposition of
 a matrix using Householder reflectors. The specific LAPACK function can be controlled using
diff --git a/src/implementations/eig.jl b/src/implementations/eig.jl
index b3d2f6a0..049438a7 100644
--- a/src/implementations/eig.jl
+++ b/src/implementations/eig.jl
@@ -10,21 +10,21 @@ copy_input(::typeof(eig_trunc), A) = copy_input(eig_full, A)
 
 function check_input(::typeof(eig_full!), A::AbstractMatrix, DV)
     m, n = size(A)
-    m == n || throw(ArgumentError("Eigenvalue decomposition requires square input matrix"))
+    m == n || throw(DimensionMismatch("square input matrix expected"))
     D, V = DV
-    Tc = complex(eltype(A))
-    (V isa AbstractMatrix && eltype(V) == Tc && size(V) == (m, m)) ||
-        throw(ArgumentError("`eig_full!` requires square matrix V with same size as A and complex `eltype`"))
-    (D isa Diagonal && eltype(D) == Tc && size(D) == (m, m)) ||
-        throw(ArgumentError("`eig_full!` requires Diagonal matrix D with same size as A and complex `eltype`"))
+    @assert D isa Diagonal && V isa AbstractMatrix
+    @check_size(D, (m, m))
+    @check_scalar(D, A, complex)
+    @check_size(V, (m, m))
+    @check_scalar(V, A, complex)
     return nothing
 end
 function check_input(::typeof(eig_vals!), A::AbstractMatrix, D)
     m, n = size(A)
-    m == n || throw(ArgumentError("Eigenvalue decomposition requires square input matrix"))
-    Tc = complex(eltype(A))
-    size(D) == (n,) && eltype(D) == Tc ||
-        throw(ArgumentError("Eigenvalue vector `D` must have length equal to size(A, 1) and complex `eltype`"))
+    m == n || throw(DimensionMismatch("square input matrix expected"))
+    @assert D isa AbstractVector
+    @check_size(D, (n,))
+    @check_scalar(D, A, complex)
     return nothing
 end
 
diff --git a/src/implementations/eigh.jl b/src/implementations/eigh.jl
index 228e6558..53837ae5 100644
--- a/src/implementations/eigh.jl
+++ b/src/implementations/eigh.jl
@@ -10,19 +10,20 @@ copy_input(::typeof(eigh_trunc), A) = copy_input(eigh_full, A)
 
 function check_input(::typeof(eigh_full!), A::AbstractMatrix, DV)
     m, n = size(A)
-    m == n || throw(ArgumentError("Eigenvalue decompsition requires square input matrix"))
+    m == n || throw(DimensionMismatch("square input matrix expected"))
     D, V = DV
-    (V isa AbstractMatrix && eltype(V) == eltype(A) && size(V) == (m, m)) ||
-        throw(ArgumentError("`eigh_full!` requires square V matrix with same size and `eltype` as A"))
-    (D isa Diagonal && eltype(D) == real(eltype(A)) && size(D) == (m, m)) ||
-        throw(ArgumentError("`eigh_full!` requires Diagonal matrix D with same size as A with a real `eltype`"))
+    @assert D isa Diagonal && V isa AbstractMatrix
+    @check_size(D, (m, m))
+    @check_scalar(D, A, real)
+    @check_size(V, (m, m))
+    @check_scalar(V, A)
     return nothing
 end
 function check_input(::typeof(eigh_vals!), A::AbstractMatrix, D)
     m, n = size(A)
-    m == n || throw(ArgumentError("Eigenvalue decompsition requires square input matrix"))
-    (size(D) == (n,) && eltype(D) == real(eltype(A))) ||
-        throw(ArgumentError("Eigenvalue vector `D` must have length equal to size(A, 1) with a real `eltype`"))
+    @assert D isa AbstractVector
+    @check_size(D, (n,))
+    @check_scalar(D, A, real)
     return nothing
 end
 
diff --git a/src/implementations/lq.jl b/src/implementations/lq.jl
index ea869c87..165c63b5 100644
--- a/src/implementations/lq.jl
+++ b/src/implementations/lq.jl
@@ -13,30 +13,30 @@ end
 function check_input(::typeof(lq_full!), A::AbstractMatrix, LQ)
     m, n = size(A)
     L, Q = LQ
-    (Q isa AbstractMatrix && eltype(Q) == eltype(A) && size(Q) == (n, n)) ||
-        throw(DimensionMismatch("Full unitary matrix Q must be square with equal number of columns as A"))
-    (L isa AbstractMatrix && eltype(L) == eltype(A) && (isempty(L) || size(L) == (m, n))) ||
-        throw(DimensionMismatch("Lower triangular matrix L must have size equal to A"))
+    @assert L isa AbstractMatrix && Q isa AbstractMatrix
+    isempty(L) || @check_size(L, (m, n))
+    @check_scalar(L, A)
+    @check_size(Q, (n, n))
+    @check_scalar(Q, A)
     return nothing
 end
 function check_input(::typeof(lq_compact!), A::AbstractMatrix, LQ)
     m, n = size(A)
-    if m <= n
-        L, Q = LQ
-        (Q isa AbstractMatrix && eltype(Q) == eltype(A) && size(Q) == (m, n)) ||
-            throw(DimensionMismatch("Isometric Q must have size equal to A"))
-        (L isa AbstractMatrix && eltype(L) == eltype(A) &&
-         (isempty(L) || size(L) == (m, m))) ||
-            throw(DimensionMismatch("Lower triangular matrix L must be square with equal number of columns as A"))
-    else
-        check_input(lq_full!, A, LQ)
-    end
+    minmn = min(m, n)
+    L, Q = LQ
+    @assert L isa AbstractMatrix && Q isa AbstractMatrix
+    isempty(L) || @check_size(L, (m, minmn))
+    @check_scalar(L, A)
+    @check_size(Q, (minmn, n))
+    @check_scalar(Q, A)
+    return nothing
 end
 function check_input(::typeof(lq_null!), A::AbstractMatrix, Nᴴ)
     m, n = size(A)
     minmn = min(m, n)
-    (Nᴴ isa AbstractMatrix && eltype(Nᴴ) == eltype(A) && size(Nᴴ) == (n - minmn, n)) ||
-        throw(DimensionMismatch("Matrix Nᴴ must have a the same eltype as A and a size such that [A; Nᴴ] is square"))
+    @assert Nᴴ isa AbstractMatrix
+    @check_size(Nᴴ, (n - minmn, n))
+    @check_scalar(Nᴴ, A)
     return nothing
 end
 
diff --git a/src/implementations/orthnull.jl b/src/implementations/orthnull.jl
index 37100610..e134121b 100644
--- a/src/implementations/orthnull.jl
+++ b/src/implementations/orthnull.jl
@@ -9,37 +9,43 @@ function check_input(::typeof(left_orth!), A::AbstractMatrix, VC)
     m, n = size(A)
     minmn = min(m, n)
     V, C = VC
-    (V isa AbstractMatrix && eltype(V) == eltype(A) && size(V) == (m, minmn)) ||
-        throw(DimensionMismatch("Isometric V must have the same eltype as A, the same number of rows and min(m, n) columns"))
-    (C isa AbstractMatrix && eltype(C) == eltype(A) &&
-     (isempty(C) || size(C) == (minmn, n))) ||
-        throw(DimensionMismatch("Corestriction C must have the same eltype as A, the same number of columns and min(m, n) rows"))
+    @assert V isa AbstractMatrix && C isa AbstractMatrix
+    @check_size(V, (m, minmn))
+    @check_scalar(V, A)
+    if !isempty(C)
+        @check_size(C, (minmn, n))
+        @check_scalar(C, A)
+    end
     return nothing
 end
 function check_input(::typeof(right_orth!), A::AbstractMatrix, CVᴴ)
     m, n = size(A)
     minmn = min(m, n)
     C, Vᴴ = CVᴴ
-    (Vᴴ isa AbstractMatrix && eltype(Vᴴ) == eltype(A) && size(Vᴴ) == (minmn, n)) ||
-        throw(DimensionMismatch("Adjoint isometric matrix Vᴴ must have the same eltype as A, the same number of columns and min(m, n) rows"))
-    (C isa AbstractMatrix && eltype(C) == eltype(A) &&
-     (isempty(C) || size(C) == (m, minmn))) ||
-        throw(DimensionMismatch("Corestriction C must have the same eltype as A, the same number of rows and min(m, n) columns"))
+    @assert C isa AbstractMatrix && Vᴴ isa AbstractMatrix
+    if !isempty(C)
+        @check_size(C, (m, minmn))
+        @check_scalar(C, A)
+    end
+    @check_size(Vᴴ, (minmn, n))
+    @check_scalar(Vᴴ, A)
     return nothing
 end
 
 function check_input(::typeof(left_null!), A::AbstractMatrix, N)
     m, n = size(A)
     minmn = min(m, n)
-    (N isa AbstractMatrix && eltype(N) == eltype(A) && size(N) == (m, m - minmn)) ||
-        throw(DimensionMismatch("Isometric matrix   must have the same eltype as A, the same number of rows and m - min(m, n) columns"))
+    @assert N isa AbstractMatrix
+    @check_size(N, (m, m - minmn))
+    @check_scalar(N, A)
     return nothing
 end
 function check_input(::typeof(right_null!), A::AbstractMatrix, Nᴴ)
     m, n = size(A)
     minmn = min(m, n)
-    (Nᴴ isa AbstractMatrix && eltype(Nᴴ) == eltype(A) && size(Nᴴ) == (n - minmn, n)) ||
-        throw(DimensionMismatch("Adjoint isometric matrix Nᴴ must have the same eltype as A, the same number of columns and n - min(m, n) rows"))
+    @assert Nᴴ isa AbstractMatrix
+    @check_size(Nᴴ, (n - minmn, n))
+    @check_scalar(Nᴴ, A)
     return nothing
 end
 
diff --git a/src/implementations/polar.jl b/src/implementations/polar.jl
index b4311f08..2604aab5 100644
--- a/src/implementations/polar.jl
+++ b/src/implementations/polar.jl
@@ -7,22 +7,24 @@ function check_input(::typeof(left_polar!), A::AbstractMatrix, WP)
     m, n = size(A)
     W, P = WP
     m >= n ||
-        throw(ArgumentError("`left_polar!` requires a matrix A with at least as many rows as columns"))
-    (W isa AbstractMatrix && eltype(W) == eltype(A) && size(W) == (m, n)) ||
-        throw(ArgumentError("`left_polar!` requires a matrix W with the same size and eltype as A"))
-    (P isa AbstractMatrix && eltype(P) == eltype(A) && size(P) == (n, n)) ||
-        throw(ArgumentError("`left_polar!` requires a square matrix P with the same eltype and number of columns as A"))
+        throw(ArgumentError("input matrix needs at least as many rows as columns"))
+    @assert W isa AbstractMatrix && P isa AbstractMatrix
+    @check_size(W, (m, n))
+    @check_scalar(W, A)
+    @check_size(P, (n, n))
+    @check_scalar(P, A)
     return nothing
 end
 function check_input(::typeof(right_polar!), A::AbstractMatrix, PWᴴ)
     m, n = size(A)
     P, Wᴴ = PWᴴ
     n >= m ||
-        throw(ArgumentError("`right_polar!` requires a matrix A with at least as many columns as rows"))
-    (P isa AbstractMatrix && eltype(P) == eltype(A) && size(P) == (m, m)) ||
-        throw(ArgumentError("`right_polar!` requires a square matrix P with the same eltype and number of rows as A"))
-    (Wᴴ isa AbstractMatrix && eltype(Wᴴ) == eltype(A) && size(Wᴴ) == (m, n)) ||
-        throw(ArgumentError("`right_polar!` requires a matrix Wᴴ with the same size and eltype as A"))
+        throw(ArgumentError("input matrix needs at least as many columns as rows"))
+    @assert P isa AbstractMatrix && Wᴴ isa AbstractMatrix
+    @check_size(P, (m, m))
+    @check_scalar(P, A)
+    @check_size(Wᴴ, (m, n))
+    @check_scalar(Wᴴ, A)
     return nothing
 end
 
diff --git a/src/implementations/qr.jl b/src/implementations/qr.jl
index f8198755..7e2e13ea 100644
--- a/src/implementations/qr.jl
+++ b/src/implementations/qr.jl
@@ -13,30 +13,30 @@ end
 function check_input(::typeof(qr_full!), A::AbstractMatrix, QR)
     m, n = size(A)
     Q, R = QR
-    (Q isa AbstractMatrix && eltype(Q) == eltype(A) && size(Q) == (m, m)) ||
-        throw(DimensionMismatch("Full unitary matrix Q must be square with equal number of rows as A"))
-    (R isa AbstractMatrix && eltype(R) == eltype(A) && (isempty(R) || size(R) == (m, n))) ||
-        throw(DimensionMismatch("Upper triangular matrix R must have size equal to A"))
+    @assert Q isa AbstractMatrix && R isa AbstractMatrix
+    @check_size(Q, (m, m))
+    @check_scalar(Q, A)
+    isempty(R) || @check_size(R, (m, n))
+    @check_scalar(R, A)
     return nothing
 end
 function check_input(::typeof(qr_compact!), A::AbstractMatrix, QR)
     m, n = size(A)
-    if n <= m
-        Q, R = QR
-        (Q isa AbstractMatrix && eltype(Q) == eltype(A) && size(Q) == (m, n)) ||
-            throw(DimensionMismatch("Isometric Q must have size equal to A"))
-        (R isa AbstractMatrix && eltype(R) == eltype(A) &&
-         (isempty(R) || size(R) == (n, n))) ||
-            throw(DimensionMismatch("Upper triangular matrix R must be square with equal number of columns as A"))
-    else
-        check_input(qr_full!, A, QR)
-    end
+    minmn = min(m, n)
+    Q, R = QR
+    @assert Q isa AbstractMatrix && R isa AbstractMatrix
+    @check_size(Q, (m, minmn))
+    @check_scalar(Q, A)
+    isempty(R) || @check_size(R, (minmn, n))
+    @check_scalar(R, A)
+    return nothing
 end
 function check_input(::typeof(qr_null!), A::AbstractMatrix, N)
     m, n = size(A)
     minmn = min(m, n)
-    (N isa AbstractMatrix && eltype(N) == eltype(A) && size(N) == (m, m - minmn)) ||
-        throw(DimensionMismatch("Matrix N must have a the same eltype as A and a size such that [A N] is square"))
+    @assert N isa AbstractMatrix
+    @check_size(N, (m, m - minmn))
+    @check_scalar(N, A)
     return nothing
 end
 
diff --git a/src/implementations/schur.jl b/src/implementations/schur.jl
index 828c16eb..55a1bdfa 100644
--- a/src/implementations/schur.jl
+++ b/src/implementations/schur.jl
@@ -6,21 +6,23 @@ copy_input(::typeof(schur_vals), A::AbstractMatrix) = copy_input(eig_vals, A)
 # check input
 function check_input(::typeof(schur_full!), A::AbstractMatrix, TZv)
     m, n = size(A)
-    m == n || throw(ArgumentError("Schur decompsition requires square input matrix"))
+    m == n || throw(DimensionMismatch("square input matrix expected"))
     T, Z, vals = TZv
-    (Z isa AbstractMatrix && eltype(Z) == eltype(A) && size(Z) == (m, m)) ||
-        throw(ArgumentError("`schur_full!` requires square Z matrix with same size and `eltype` as A"))
-    (T isa AbstractMatrix && eltype(T) == eltype(A) && size(T) == (m, m)) ||
-        throw(ArgumentError("`schur_full!` requires square T matrix with same size and `eltype` as A"))
-    size(vals) == (n,) && eltype(vals) == complex(eltype(A)) ||
-        throw(ArgumentError("Eigenvalue vector `vals` must have length equal to size(A, 1) and complex `eltype`"))
+    @assert T isa AbstractMatrix && Z isa AbstractMatrix && vals isa AbstractVector
+    @check_size(T, (m, m))
+    @check_scalar(T, A)
+    @check_size(Z, (m, m))
+    @check_scalar(Z, A)
+    @check_size(vals, (n,))
+    @check_scalar(vals, A, complex)
     return nothing
 end
 function check_input(::typeof(schur_vals!), A::AbstractMatrix, vals)
     m, n = size(A)
-    m == n || throw(ArgumentError("Schur decompsition requires square input matrix"))
-    size(vals) == (n,) && eltype(vals) == complex(eltype(A)) ||
-        throw(ArgumentError("Eigenvalue vector `vals` must have length equal to size(A, 1) and complex `eltype`"))
+    m == n || throw(DimensionMismatch("square input matrix expected"))
+    @assert vals isa AbstractVector
+    @check_size(vals, (n,))
+    @check_scalar(vals, A, complex)
     return nothing
 end
 
diff --git a/src/implementations/svd.jl b/src/implementations/svd.jl
index 9224e49b..17c621aa 100644
--- a/src/implementations/svd.jl
+++ b/src/implementations/svd.jl
@@ -11,31 +11,34 @@ copy_input(::typeof(svd_trunc), A) = copy_input(svd_compact, A)
 function check_input(::typeof(svd_full!), A::AbstractMatrix, USVᴴ)
     m, n = size(A)
     U, S, Vᴴ = USVᴴ
-    (U isa AbstractMatrix && eltype(U) == eltype(A) && size(U) == (m, m)) ||
-        throw(ArgumentError("`svd_full!` requires square U matrix with equal number of rows and same `eltype` as A"))
-    (Vᴴ isa AbstractMatrix && eltype(Vᴴ) == eltype(A) && size(Vᴴ) == (n, n)) ||
-        throw(ArgumentError("`svd_full!` requires square Vᴴ matrix with equal number of columns and same `eltype` as A"))
-    (S isa AbstractMatrix && eltype(S) == real(eltype(A)) && size(S) == (m, n)) ||
-        throw(ArgumentError("`svd_full!` requires a matrix S of the same size as A with a real `eltype`"))
+    @assert U isa AbstractMatrix && S isa AbstractMatrix && Vᴴ isa AbstractMatrix
+    @check_size(U, (m, m))
+    @check_scalar(U, A)
+    @check_size(S, (m, n))
+    @check_scalar(S, A, real)
+    @check_size(Vᴴ, (n, n))
+    @check_scalar(Vᴴ, A)
     return nothing
 end
 function check_input(::typeof(svd_compact!), A::AbstractMatrix, USVᴴ)
     m, n = size(A)
     minmn = min(m, n)
     U, S, Vᴴ = USVᴴ
-    (U isa AbstractMatrix && eltype(U) == eltype(A) && size(U) == (m, minmn)) ||
-        throw(ArgumentError("`svd_full!` requires square U matrix with equal number of rows and same `eltype` as A"))
-    (Vᴴ isa AbstractMatrix && eltype(Vᴴ) == eltype(A) && size(Vᴴ) == (minmn, n)) ||
-        throw(ArgumentError("`svd_full!` requires square Vᴴ matrix with equal number of columns and same `eltype` as A"))
-    (S isa Diagonal && eltype(S) == real(eltype(A)) && size(S) == (minmn, minmn)) ||
-        throw(ArgumentError("`svd_compact!` requires Diagonal matrix S with number of rows equal to min(size(A)...) with a real `eltype`"))
+    @assert U isa AbstractMatrix && S isa Diagonal && Vᴴ isa AbstractMatrix
+    @check_size(U, (m, minmn))
+    @check_scalar(U, A)
+    @check_size(S, (minmn, minmn))
+    @check_scalar(S, A, real)
+    @check_size(Vᴴ, (minmn, n))
+    @check_scalar(Vᴴ, A)
     return nothing
 end
 function check_input(::typeof(svd_vals!), A::AbstractMatrix, S)
     m, n = size(A)
     minmn = min(m, n)
-    (S isa AbstractVector && eltype(S) == real(eltype(A)) && size(S) == (minmn,)) ||
-        throw(ArgumentError("`svd_vals!` requires vector S of length min(size(A)...) with a real `eltype`"))
+    @assert S isa AbstractVector
+    @check_size(S, (minmn,))
+    @check_scalar(S, A, real)
     return nothing
 end
 
diff --git a/test/chainrules.jl b/test/chainrules.jl
index a31bdc7b..47de1c04 100644
--- a/test/chainrules.jl
+++ b/test/chainrules.jl
@@ -325,7 +325,7 @@ end
     end
 end
 
-@timedtestset "Orth en null with eltype $T" for T in (Float64, ComplexF64, Float32)
+@timedtestset "Orth and null with eltype $T" for T in (Float64, ComplexF64, Float32)
     rng = StableRNG(12345)
     m = 19
     @testset "size ($m, $n)" for n in (17, m, 23)