test_vclMatrix_algebra.R
In gpuR: GPU Functions for R Objects

library(gpuR)
context("vclMatrix algebra")

if(detectGPUs() >= 1){
    current_context <- set_device_context("gpu")    
}else{
    current_context <- currentContext()
}

# set seed
set.seed(123)

ORDER <- 4
ORDER_PAD <- 129

# Base R objects
Aint <- matrix(sample(seq(10), ORDER^2, replace=TRUE), nrow=ORDER, ncol=ORDER)
Bint <- matrix(sample(seq(10), ORDER^2, replace=TRUE), nrow=ORDER, ncol=ORDER)
AintPad <- matrix(sample(seq(10), ORDER*ORDER_PAD, replace=TRUE), nrow=ORDER, ncol=ORDER_PAD)
BintPad <- matrix(sample(seq(10), ORDER*ORDER_PAD, replace=TRUE), nrow=ORDER_PAD, ncol = ORDER)
A <- matrix(rnorm(ORDER^2), nrow=ORDER, ncol=ORDER)
B <- matrix(rnorm(ORDER^2), nrow=ORDER, ncol=ORDER)
E <- matrix(rnorm(15), nrow=5)
v <- rnorm(ORDER^2)
v2 <- rnorm(ORDER)

# Single Precision tests



test_that("vclMatrix Single Precision Matrix multiplication", {
    
    has_gpu_skip()
    
    C <- A %*% B
    
    fgpuA <- vclMatrix(A, type="float")
    fgpuB <- vclMatrix(B, type="float")
    fgpuE <- vclMatrix(E, type = "float")
    
    fgpuC <- fgpuA %*% fgpuB
    
    expect_is(fgpuC, "fvclMatrix")
    expect_equal(fgpuC[,], C, tolerance=1e-07, 
                 info="float matrix elements not equivalent")  
    expect_error(fgpuA %*% fgpuE,
                 info = "error not thrown for non-conformant matrices")
    
    fgpuC <- A %*% fgpuB
    
    expect_is(fgpuC, "fvclMatrix")
    expect_equal(fgpuC[,], C, tolerance=1e-07, 
                 info="float matrix elements not equivalent")  
    
    fgpuC <- fgpuA %*% B
    
    expect_is(fgpuC, "fvclMatrix")
    expect_equal(fgpuC[,], C, tolerance=1e-07, 
                 info="float matrix elements not equivalent")  
})

test_that("vclMatrix Single Precision Matrix-Vector multiplication", {
    
    has_gpu_skip()
    
    C <- A %*% v2
    C2 <- v2 %*% B
    
    fgpuA <- vclMatrix(A, type="float")
    fgpuB <- vclMatrix(B, type="float")
    fgpuV <- vclVector(v2, type = "float")
    
    fgpuC <- fgpuA %*% fgpuV
    fgpuC2 <- fgpuV %*% fgpuB
    
    expect_equal(fgpuC[,], c(C), tolerance=1e-07, 
                 info="float matrix elements not equivalent")  
    expect_equal(fgpuC2[,], c(C2), tolerance=1e-07, 
                 info="float matrix elements not equivalent")  
})

test_that("vclMatrix Single Precision Matrix Subtraction", {
    
    has_gpu_skip()
    
    C <- A - B
    
    fgpuA <- vclMatrix(A, type="float")
    fgpuB <- vclMatrix(B, type="float")
    fgpuE <- vclMatrix(E, type="float")
    
    fgpuC <- fgpuA - fgpuB
    
    expect_is(fgpuC, "fvclMatrix")
    expect_equal(fgpuC[,], C, tolerance=1e-07, 
                 info="float matrix elements not equivalent")  
    expect_error(fgpuA - fgpuE)
    
    fgpuC <- fgpuA - B
    
    expect_is(fgpuC, "fvclMatrix")
    expect_equal(fgpuC[,], C, tolerance=1e-07, 
                 info="float matrix elements not equivalent")  
    
    fgpuC <- A - fgpuB
    
    expect_is(fgpuC, "fvclMatrix")
    expect_equal(fgpuC[,], C, tolerance=1e-07, 
                 info="float matrix elements not equivalent")  
})
# 
# test_that("vclMatrix Single Precision Matrix/Vector Subtraction", {
#     
#     has_gpu_skip()
#     
#     C <- A - c(B)
#     C2 <- c(A) - B
#     
#     fgpuA <- vclMatrix(A, type="float")
#     fgpuB <- vclVector(c(B), type="float")
#     
#     fgpuC <- fgpuA - fgpuB
#     
#     expect_is(fgpuC, "fvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=1e-07, 
#                  info="float matrix elements not equivalent")  
#     
#     fgpuA <- vclVector(c(A), type="float")
#     fgpuB <- vclMatrix(B, type="float")
#     
#     fgpuC <- fgpuA - fgpuB
#     
#     expect_is(fgpuC, "fvclMatrix")
#     expect_equal(fgpuC[,], C2, tolerance=1e-07, 
#                  info="float matrix elements not equivalent")  
#     
# })

test_that("vclMatrix Single Precision Scalar Matrix Subtraction", {
    
    has_gpu_skip()
    
    C <- A - 1
    C2 <- 1 - A
    
    fgpuA <- vclMatrix(A, type="float")
    
    fgpuC <- fgpuA - 1    
    fgpuC2 <- 1 - fgpuA
    
    expect_is(fgpuC, "fvclMatrix")
    expect_equal(fgpuC[,], C, tolerance=1e-07, 
                 info="float matrix elements not equivalent") 
    expect_is(fgpuC2, "fvclMatrix")
    expect_equal(fgpuC2[,], C2, tolerance=1e-07, 
                 info="float matrix elements not equivalent") 
})

test_that("vclMatrix Single Precision Unary Scalar Matrix Subtraction", {
    
    has_gpu_skip()
    
    C <- -A
    
    fgpuA <- vclMatrix(A, type="float")
    
    fgpuC <- -fgpuA
    
    expect_is(fgpuC, "fvclMatrix")
    expect_equal(fgpuC[,], C, tolerance=1e-07, 
                 info="float matrix elements not equivalent") 
})

test_that("vclMatrix Single Precision Matrix Addition", {
    
    has_gpu_skip()
    
    C <- A + B
    
    fgpuA <- vclMatrix(A, type="float")
    fgpuB <- vclMatrix(B, type="float")
    fgpuE <- vclMatrix(E, type="float")
    
    fgpuC <- fgpuA + fgpuB
    
    expect_is(fgpuC, "fvclMatrix")
    expect_equal(fgpuC[,], C, tolerance=1e-07, 
                 info="float matrix elements not equivalent")  
    expect_error(fgpuA + fgpuE)
    
    fgpuC <- A + fgpuB
    
    expect_is(fgpuC, "fvclMatrix")
    expect_equal(fgpuC[,], C, tolerance=1e-07, 
                 info="float matrix elements not equivalent")  
    
    fgpuC <- fgpuA + B
    
    expect_is(fgpuC, "fvclMatrix")
    expect_equal(fgpuC[,], C, tolerance=1e-07, 
                 info="float matrix elements not equivalent")  
})

test_that("vclMatrix Single Precision Matrix/Vector Addition", {
    
    has_gpu_skip()
    
    C <- A + c(B)
    
    fgpuA <- vclMatrix(A, type="float")
    fgpuB <- vclVector(c(B), type="float")
    
    fgpuC <- fgpuA + fgpuB
    
    expect_is(fgpuC, "fvclMatrix")
    expect_equal(fgpuC[,], C, tolerance=1e-07, 
                 info="float matrix elements not equivalent")  
    
    fgpuA <- vclVector(c(A), type="float")
    fgpuB <- vclMatrix(B, type="float")
    
    fgpuC <- fgpuA + fgpuB
    
    expect_is(fgpuC, "fvclMatrix")
    expect_equal(fgpuC[,], C, tolerance=1e-07, 
                 info="float matrix elements not equivalent")  
    
})

# test_that("vclMatrix Single Precision Scalar Matrix Addition", {
#     
#     has_gpu_skip()
#     
#     C <- A + 1
#     C2 <- 1 + A
#     
#     fgpuA <- vclMatrix(A, type="float")
#     
#     fgpuC <- fgpuA + 1
#     fgpuC2 <- 1 + fgpuA
#     
#     expect_is(fgpuC, "fvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=1e-07, 
#                  info="float matrix elements not equivalent") 
#     expect_is(fgpuC2, "fvclMatrix")
#     expect_equal(fgpuC2[,], C2, tolerance=1e-07, 
#                  info="float matrix elements not equivalent") 
# })
# 
# test_that("vclMatrix Single Precision Matrix Element-Wise Multiplication", {
#     
#     has_gpu_skip()
#     
#     C <- A * B
#     
#     fgpuA <- vclMatrix(A, type="float")
#     fgpuB <- vclMatrix(B, type="float")
#     fgpuE <- vclMatrix(E, type="float")
#     
#     fgpuC <- fgpuA * fgpuB
#     
#     expect_is(fgpuC, "fvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=1e-07, 
#                  info="float matrix elements not equivalent")  
#     expect_error(fgpuA * fgpuE)
#     
#     fgpuC <- A * fgpuB
#     
#     expect_is(fgpuC, "fvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=1e-07, 
#                  info="float matrix elements not equivalent")  
#     
#     fgpuC <- fgpuA * B
#     
#     expect_is(fgpuC, "fvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=1e-07, 
#                  info="float matrix elements not equivalent")  
# })
# 
# test_that("vclMatrix Single Precision Scalar Matrix Multiplication", {
#     
#     has_gpu_skip()
#     
#     C <- A * 2
#     C2 <- 2 * A
#     
#     dgpuA <- vclMatrix(A, type="float")
#     
#     dgpuC <- dgpuA * 2
#     dgpuC2 <- 2 * dgpuA
#     
#     expect_is(dgpuC, "fvclMatrix")
#     expect_equal(dgpuC[,], C, tolerance=1e-07, 
#                  info="float matrix elements not equivalent") 
#     expect_is(dgpuC2, "fvclMatrix")
#     expect_equal(dgpuC2[,], C2, tolerance=1e-07, 
#                  info="float matrix elements not equivalent") 
# })
# 
# test_that("vclMatrix Single Precision Matrix Element-Wise Division", {
#     
#     has_gpu_skip()
#     
#     C <- A / B
#     
#     fgpuA <- vclMatrix(A, type="float")
#     fgpuB <- vclMatrix(B, type="float")
#     fgpuE <- vclMatrix(E, type="float")
#     
#     fgpuC <- fgpuA / fgpuB
#     
#     expect_is(fgpuC, "fvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=1e-07, 
#                  info="float matrix elements not equivalent")  
#     expect_error(fgpuA / fgpuE)
#     
#     fgpuC <- A / fgpuB
#     
#     expect_is(fgpuC, "fvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=1e-07, 
#                  info="float matrix elements not equivalent")  
#     
#     fgpuC <- fgpuA / B
#     
#     expect_is(fgpuC, "fvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=1e-07, 
#                  info="float matrix elements not equivalent")  
# })
# 
# test_that("vclMatrix Single Precision Scalar Matrix Division", {
#     
#     has_gpu_skip()
#     
#     C <- A/2
#     C2 <- 2/A
#     
#     dgpuA <- vclMatrix(A, type="float")
#     
#     dgpuC <- dgpuA/2
#     dgpuC2 <- 2/dgpuA
#     
#     expect_is(dgpuC, "fvclMatrix")
#     expect_equal(dgpuC[,], C, tolerance=1e-07, 
#                  info="float matrix elements not equivalent") 
#     expect_is(dgpuC2, "fvclMatrix")
#     expect_equal(dgpuC2[,], C2, tolerance=1e-07, 
#                  info="float matrix elements not equivalent") 
# })
# 
# test_that("vclMatrix Single Precision Matrix Element-Wise Power", {
#     
#     has_gpu_skip()
#     pocl_check()
#     
#     C <- A ^ B
#     
#     fgpuA <- vclMatrix(A, type="float")
#     fgpuB <- vclMatrix(B, type="float")
#     fgpuE <- vclMatrix(E, type="float")
#     
#     fgpuC <- fgpuA ^ fgpuB
#     
#     expect_is(fgpuC, "fvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=1e-07, 
#                  info="float matrix elements not equivalent")  
#     expect_error(fgpuA ^ fgpuE)
#     
#     fgpuC <- A ^ fgpuB
#     
#     expect_is(fgpuC, "fvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=1e-07, 
#                  info="float matrix elements not equivalent")  
#     
#     fgpuC <- fgpuA ^ B
#     
#     expect_is(fgpuC, "fvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=1e-07, 
#                  info="float matrix elements not equivalent")  
# })
# 
# test_that("vclMatrix Single Precision Scalar Matrix Power", {
#     
#     has_gpu_skip()
#     
#     C <- A^2
#     C2 <- 2^A
#     
#     dgpuA <- vclMatrix(A, type="float")
#     
#     dgpuC <- dgpuA^2
#     dgpuC2 <- 2^dgpuA
#     
#     expect_is(dgpuC, "fvclMatrix")
#     expect_equal(dgpuC[,], C, tolerance=1e-07, 
#                  info="float matrix elements not equivalent") 
#     expect_equal(dgpuC2[,], C2, tolerance=1e-07, 
#                  info="float matrix elements not equivalent") 
# })
# 
# test_that("vclMatrix Single Precision crossprod", {
#     
#     has_gpu_skip()
#     
#     X <- matrix(rnorm(10), nrow=2)
#     Y <- matrix(rnorm(10), nrow=2)
#     Z <- matrix(rnorm(10), nrow=5)
#     
#     C <- crossprod(X,Y)
#     Cs <- crossprod(X)
#     
#     fgpuX <- vclMatrix(X, type="float")
#     fgpuY <- vclMatrix(Y, type="float")
#     fgpuZ <- vclMatrix(Z, type="float")
#     
#     fgpuC <- crossprod(fgpuX, fgpuY)
#     fgpuCs <- crossprod(fgpuX)
#     
#     expect_is(fgpuC, "fvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=1e-07, 
#                  info="float matrix elements not equivalent")  
#     expect_equal(fgpuCs[,], Cs, tolerance=1e-07, 
#                  info="float matrix elements not equivalent") 
#     expect_error(crossprod(fgpuX, fgpuZ))
#     
#     fgpuC <- crossprod(fgpuX, Y)
#     
#     expect_is(fgpuC, "fvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=1e-07, 
#                  info="float matrix elements not equivalent")  
#     
#     fgpuC <- crossprod(X, fgpuY)
#     
#     expect_is(fgpuC, "fvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=1e-07, 
#                  info="float matrix elements not equivalent")  
# })
# 
# test_that("vclMatrix Single Precision tcrossprod", {
#     
#     has_gpu_skip()
#     
#     X <- matrix(rnorm(10), nrow=2)
#     Y <- matrix(rnorm(10), nrow=2)
#     Z <- matrix(rnorm(12), nrow=2)
#     
#     C <- tcrossprod(X,Y)
#     Cs <- tcrossprod(X)
#     
#     fgpuX <- vclMatrix(X, type="float")
#     fgpuY <- vclMatrix(Y, type="float")
#     fgpuZ <- vclMatrix(Z, type="float")
#     
#     fgpuC <- tcrossprod(fgpuX, fgpuY)
#     fgpuCs <- tcrossprod(fgpuX)
#     
#     expect_is(fgpuC, "fvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=1e-07, 
#                  info="float matrix elements not equivalent")  
#     expect_equal(fgpuCs[,], Cs, tolerance=1e-07, 
#                  info="float matrix elements not equivalent") 
#     expect_error(tcrossprod(fgpuX, fgpuZ))
#     
#     fgpuC <- tcrossprod(fgpuX, Y)
#     
#     expect_is(fgpuC, "fvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=1e-07, 
#                  info="float matrix elements not equivalent")  
#     
#     fgpuC <- tcrossprod(X, fgpuY)
#     
#     expect_is(fgpuC, "fvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=1e-07, 
#                  info="float matrix elements not equivalent")  
# })
# 
# test_that("vclMatrix Single Precision transpose", {
#     
#     has_gpu_skip()
#     
#     At <- t(A)
#     
#     fgpuA <- vclMatrix(A, type="float")
#     fgpuAt <- t(fgpuA)
#     
#     expect_is(fgpuAt, "fvclMatrix")
#     expect_equal(fgpuAt[,], At, tolerance=1e-07, 
#                  info="transposed float matrix elements not equivalent") 
# })
# 
# test_that("vclMatrix Single Precision determinant", {
#     
#     has_gpu_skip()
#     
#     d <- det(A)
#     
#     fgpuA <- vclMatrix(A, type="float")
#     fgpud <- det(fgpuA)
#     
#     expect_is(fgpud, "numeric")
#     expect_equal(fgpud, d, tolerance=1e-07, 
#                  info="float determinants not equivalent") 
# })

# Integer tests

test_that("vclMatrix Integer Matrix multiplication", {

    has_gpu_skip()

    Cint <- Aint %*% Bint
    CintPad <- AintPad %*% BintPad

    igpuA <- vclMatrix(Aint, type="integer")
    igpuB <- vclMatrix(Bint, type="integer")
    igpuApad <- vclMatrix(AintPad, type="integer")
    igpuBpad <- vclMatrix(BintPad, type="integer")

    igpuC <- igpuA %*% igpuB

    expect_equivalent(igpuC[,], Cint,
                      info="integer matrix elements not equivalent")

    igpuC <- Aint %*% igpuB

    expect_equivalent(igpuC[,], Cint,
                      info="integer matrix elements not equivalent")

    igpuC <- igpuA %*% Bint

    expect_equivalent(igpuC[,], Cint,
                      info="integer matrix elements not equivalent")
    
    igpuCpad <- igpuApad %*% igpuBpad
    
    expect_equivalent(igpuCpad[], CintPad,
                      info = "padded rectangular matrix elements not equivalent")
})

# test_that("vclMatrix Integer Matrix Subtraction", {
#     
#     has_gpu_skip()
#     
#     Cint <- Aint - Bint
#     
#     igpuA <- vclMatrix(Aint, type="integer")
#     igpuB <- vclMatrix(Bint, type="integer")
#     
#     igpuC <- igpuA - igpuB
#     
#     expect_is(igpuC, "ivclMatrix")
#     expect_equal(igpuC[,], Cint,
#                  info="integer matrix elements not equivalent")
#     
#     
#     igpuC <- igpuA - Bint
#     
#     expect_is(igpuC, "ivclMatrix")
#     expect_equal(igpuC[,], Cint,
#                  info="integer matrix elements not equivalent")
#     
#     
#     igpuC <- Aint - igpuB
#     
#     expect_is(igpuC, "ivclMatrix")
#     expect_equal(igpuC[,], Cint,
#                  info="integer matrix elements not equivalent")
# })
# 
# test_that("vclMatrix Integer Precision Scalar Matrix Subtraction", {
#     
#     has_gpu_skip()
#     
#     C <- Aint - 1L
#     C2 <- 1L - Aint
#     
#     fgpuA <- vclMatrix(Aint, type="integer")
#     
#     fgpuC <- fgpuA - 1L
#     fgpuC2 <- 1L - fgpuA
#     
#     expect_is(fgpuC, "ivclMatrix")
#     expect_equal(fgpuC[,], C, 
#                  info="integer matrix elements not equivalent") 
#     expect_is(fgpuC2, "ivclMatrix")
#     expect_equal(fgpuC2[,], C2,
#                  info="intger matrix elements not equivalent") 
# })
# 
# test_that("vclMatrix Integer Precision Unary Scalar Matrix Subtraction", {
#     
#     has_gpu_skip()
#     
#     C <- -Aint
#     
#     fgpuA <- vclMatrix(Aint, type="integer")
#     
#     fgpuC <- -fgpuA
#     
#     expect_is(fgpuC, "ivclMatrix")
#     expect_equal(fgpuC[,], C,
#                  info="integer matrix elements not equivalent") 
# })
# 
# test_that("vclMatrix Integer Matrix Addition", {
#     
#     has_gpu_skip()
#     
#     Cint <- Aint + Bint
#     
#     igpuA <- vclMatrix(Aint, type="integer")
#     igpuB <- vclMatrix(Bint, type="integer")
#     
#     igpuC <- igpuA + igpuB
#     
#     expect_is(igpuC, "ivclMatrix")
#     expect_equal(igpuC[,], Cint,
#                  info="integer matrix elements not equivalent")
#     
#     igpuC <- Aint + igpuB
#     
#     expect_is(igpuC, "ivclMatrix")
#     expect_equal(igpuC[,], Cint,
#                  info="integer matrix elements not equivalent")
#     
#     igpuC <- igpuA + Bint
#     
#     expect_is(igpuC, "ivclMatrix")
#     expect_equal(igpuC[,], Cint,
#                  info="integer matrix elements not equivalent")
# })
# 
# test_that("vclMatrix Integer Precision Scalar Matrix Addition", {
#     
#     has_gpu_skip()
#     
#     C <- Aint + 1L
#     C2 <- 1L + Aint
#     
#     fgpuA <- vclMatrix(Aint, type="integer")
#     
#     fgpuC <- fgpuA + 1L
#     fgpuC2 <- 1L + fgpuA
#     
#     expect_is(fgpuC, "ivclMatrix")
#     expect_equal(fgpuC[,], C,
#                  info="integer matrix elements not equivalent") 
#     expect_is(fgpuC2, "ivclMatrix")
#     expect_equal(fgpuC2[,], C2,
#                  info="integer matrix elements not equivalent") 
# })
# 
# test_that("vclMatrix Integer Precision Matrix Element-Wise Multiplication", {
#     
#     has_gpu_skip()
#     
#     C <- Aint * Bint
#     
#     fgpuA <- vclMatrix(Aint, type="integer")
#     fgpuB <- vclMatrix(Bint, type="integer")
#     
#     fgpuC <- fgpuA * fgpuB
#     
#     expect_is(fgpuC, "ivclMatrix")
#     expect_equal(fgpuC[,], C, 
#                  info="integer matrix elements not equivalent") 
#     
#     fgpuC <- Aint * fgpuB
#     
#     expect_is(fgpuC, "ivclMatrix")
#     expect_equal(fgpuC[,], C, 
#                  info="integer matrix elements not equivalent") 
#     
#     fgpuC <- fgpuA * Bint
#     
#     expect_is(fgpuC, "ivclMatrix")
#     expect_equal(fgpuC[,], C, 
#                  info="integer matrix elements not equivalent") 
# })
# 
# test_that("vclMatrix Integer Precision Scalar Matrix Multiplication", {
#     
#     has_gpu_skip()
#     
#     C <- Aint * 2L
#     C2 <- 2L * Aint
#     
#     dgpuA <- vclMatrix(Aint, type="integer")
#     
#     dgpuC <- dgpuA * 2L
#     dgpuC2 <- 2L * dgpuA
#     
#     expect_is(dgpuC, "ivclMatrix")
#     expect_equal(dgpuC[,], C,
#                  info="integer matrix elements not equivalent") 
#     expect_is(dgpuC2, "ivclMatrix")
#     expect_equal(dgpuC2[,], C2,
#                  info="integer matrix elements not equivalent") 
# })
# 
# test_that("vclMatrix Integer Precision Matrix Element-Wise Division", {
#     
#     has_gpu_skip()
#     
#     C <- Aint / Bint
#     C <- apply(C, 2, as.integer)
#     
#     fgpuA <- vclMatrix(Aint, type="integer")
#     fgpuB <- vclMatrix(Bint, type="integer")
#     
#     fgpuC <- fgpuA / fgpuB
#     
#     expect_is(fgpuC, "ivclMatrix")
#     expect_equal(fgpuC[,], C,
#                  info="integer matrix elements not equivalent") 
#     
#     fgpuC <- Aint / fgpuB
#     
#     expect_is(fgpuC, "ivclMatrix")
#     expect_equal(fgpuC[,], C,
#                  info="integer matrix elements not equivalent") 
#     
#     fgpuC <- fgpuA / Bint
#     
#     expect_is(fgpuC, "ivclMatrix")
#     expect_equal(fgpuC[,], C,
#                  info="integer matrix elements not equivalent") 
# })
# 
# test_that("vclMatrix Integer Precision Scalar Matrix Division", {
#     
#     has_gpu_skip()
#     
#     C <- Aint/2L
#     C2 <- 2L/Aint
#     
#     C <- apply(C, 2, as.integer)
#     C2 <- apply(C2, 2, as.integer)
#     
#     dgpuA <- vclMatrix(Aint, type="integer")
#     
#     dgpuC <- dgpuA/2L
#     dgpuC2 <- 2L/dgpuA
#     
#     expect_is(dgpuC, "ivclMatrix")
#     expect_equal(dgpuC[,], C,
#                  info="integer matrix elements not equivalent") 
#     expect_is(dgpuC2, "ivclMatrix")
#     expect_equal(dgpuC2[,], C2,
#                  info="integer matrix elements not equivalent") 
# })
# 
# test_that("vclMatrix Integer Precision Matrix Element-Wise Power", {
#     
#     has_gpu_skip()
#     pocl_check()
#     
#     Apow <- matrix(seq.int(9), ncol=3, nrow=3)
#     Bpow <- matrix(2, ncol = 3, nrow = 3)
#     C <- Apow ^ Bpow
#     
#     fgpuA <- vclMatrix(Apow, type="integer")
#     fgpuB <- vclMatrix(Bpow, type="integer")
#     
#     fgpuC <- fgpuA ^ fgpuB
#     
#     expect_is(fgpuC, "ivclMatrix")
#     expect_equal(fgpuC[,], C,
#                  info="integer matrix elements not equivalent")
#     
#     fgpuC <- Apow ^ fgpuB
#     
#     expect_is(fgpuC, "ivclMatrix")
#     expect_equal(fgpuC[,], C,
#                  info="integer matrix elements not equivalent")
#     
#     fgpuC <- fgpuA ^ Bpow
#     
#     expect_is(fgpuC, "ivclMatrix")
#     expect_equal(fgpuC[,], C,
#                  info="integer matrix elements not equivalent")
# })
# 
# test_that("vclMatrix Integer Precision Scalar Matrix Power", {
#     
#     has_gpu_skip()
#     
#     C <- Aint^2L
#     C2 <- 2L^Aint
#     
#     C <- apply(C, 2, as.integer)
#     C2 <- apply(C2, 2, as.integer)
#     
#     dgpuA <- vclMatrix(Aint, type="integer")
#     
#     dgpuC <- dgpuA^2L
#     dgpuC2 <- 2L^dgpuA
#     
#     expect_is(dgpuC, "ivclMatrix")
#     expect_equal(dgpuC[,], C,
#                  info="integer matrix elements not equivalent")
#     expect_equal(dgpuC2[,], C2,
#                  info="integer matrix elements not equivalent")
# })
# 
# # Double Precision tests
# 
# test_that("vclMatrix Double Precision Matrix multiplication", {
#     
#     has_gpu_skip()
#     has_double_skip()
#     
#     C <- A %*% B
#     
#     dgpuA <- vclMatrix(A, type="double")
#     dgpuB <- vclMatrix(B, type="double")
#     
#     dgpuC <- dgpuA %*% dgpuB
#     
#     expect_is(dgpuC, "dvclMatrix")
#     expect_equal(dgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent")  
#     
#     dgpuC <- dgpuA %*% B
#     
#     expect_is(dgpuC, "dvclMatrix")
#     expect_equal(dgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent")  
#     
#     dgpuC <- A %*% dgpuB
#     
#     expect_is(dgpuC, "dvclMatrix")
#     expect_equal(dgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent")  
# })
# 
# test_that("vclMatrix Double Precision Matrix-Vector multiplication", {
#     
#     has_gpu_skip()
#     has_double_skip()
#     
#     C <- A %*% v2
#     C2 <- v2 %*% B
#     
#     fgpuA <- vclMatrix(A, type="double")
#     fgpuB <- vclMatrix(B, type="double")
#     fgpuV <- vclVector(v2, type = "double")
#     
#     fgpuC <- fgpuA %*% fgpuV
#     fgpuC2 <- fgpuV %*% fgpuB
#     
#     expect_equal(fgpuC[,], c(C), tolerance=.Machine$double.eps^0.5, 
#                  info="double matrix elements not equivalent")  
#     expect_equal(fgpuC2[,], c(C2), tolerance=.Machine$double.eps^0.5, 
#                  info="double matrix elements not equivalent")  
# })
# 
# test_that("vclMatrix Double Precision Matrix Subtraction", {
#     
#     has_gpu_skip()
#     has_double_skip()
#     
#     
#     C <- A - B
#     
#     dgpuA <- vclMatrix(A, type="double")
#     dgpuB <- vclMatrix(B, type="double")
#     dgpuE <- vclMatrix(E, type="double")
#     
#     dgpuC <- dgpuA - dgpuB
#     
#     expect_is(dgpuC, "dvclMatrix")
#     expect_equal(dgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent")  
#     expect_error(dgpuA - dgpuE)
#     
#     dgpuC <- A - dgpuB
#     
#     expect_is(dgpuC, "dvclMatrix")
#     expect_equal(dgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent")  
#     
#     dgpuC <- dgpuA - B
#     
#     expect_is(dgpuC, "dvclMatrix")
#     expect_equal(dgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent")  
# })
# 
# test_that("vclMatrix Double Precision Matrix/Vector Subtraction", {
#     
#     has_gpu_skip()
#     has_double_skip()
#     
#     C <- A - c(B)
#     C2 <- c(A) - B
#     
#     fgpuA <- vclMatrix(A, type="double")
#     fgpuB <- vclVector(c(B), type="double")
#     
#     fgpuC <- fgpuA - fgpuB
#     
#     expect_is(fgpuC, "dvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=.Machine$double.eps^0.5, 
#                  info="double matrix elements not equivalent")  
#     
#     fgpuA <- vclVector(c(A), type="double")
#     fgpuB <- vclMatrix(B, type="double")
#     
#     fgpuC <- fgpuA - fgpuB
#     
#     expect_is(fgpuC, "dvclMatrix")
#     expect_equal(fgpuC[,], C2, tolerance=.Machine$double.eps^0.5, 
#                  info="double matrix elements not equivalent")  
#     
# })
# 
# test_that("vclMatrix Double Precision Matrix Addition", {
#     
#     has_gpu_skip()
#     has_double_skip()
#     
#     C <- A + B
#     
#     dgpuA <- vclMatrix(A, type="double")
#     dgpuB <- vclMatrix(B, type="double")
#     dgpuE <- vclMatrix(E, type="double")
#     
#     dgpuC <- dgpuA + dgpuB
#     
#     expect_is(dgpuC, "dvclMatrix")
#     expect_equal(dgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent")  
#     expect_error(dgpuA + dgpuE)
#     
#     dgpuC <- A + dgpuB
#     
#     expect_is(dgpuC, "dvclMatrix")
#     expect_equal(dgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent")  
#     
#     dgpuC <- dgpuA + B
#     
#     expect_is(dgpuC, "dvclMatrix")
#     expect_equal(dgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent")  
# })
# 
# test_that("vclMatrix Double Precision Matrix/Vector Addition", {
#     
#     has_gpu_skip()
#     has_double_skip()
#     
#     C <- A + c(B)
#     
#     fgpuA <- vclMatrix(A, type="double")
#     fgpuB <- vclVector(c(B), type="double")
#     
#     fgpuC <- fgpuA + fgpuB
#     
#     expect_is(fgpuC, "dvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=.Machine$double.eps^0.5, 
#                  info="double matrix elements not equivalent")  
#     
#     fgpuA <- vclVector(c(A), type="double")
#     fgpuB <- vclMatrix(B, type="double")
#     
#     fgpuC <- fgpuA + fgpuB
#     
#     expect_is(fgpuC, "dvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=.Machine$double.eps^0.5, 
#                  info="double matrix elements not equivalent")  
#     
# })
# 
# test_that("vclMatrix Double Precision Scalar Matrix Addition", {
#     
#     has_gpu_skip()
#     has_double_skip()
#     
#     C <- A + 1
#     C2 <- 1 + A
#     
#     dgpuA <- vclMatrix(A, type="double")
#     
#     dgpuC <- dgpuA + 1
#     dgpuC2 <- 1 + dgpuA
#     
#     expect_is(dgpuC, "dvclMatrix")
#     expect_equal(dgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent") 
#     expect_is(dgpuC2, "dvclMatrix")
#     expect_equal(dgpuC2[,], C2, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent") 
# })
# 
# test_that("vclMatrix Double Precision Scalar Matrix Subtraction", {
#     
#     has_gpu_skip()
#     has_double_skip()
#     
#     C <- A - 1
#     C2 <- 1 - A
#     
#     dgpuA <- vclMatrix(A, type="double")
#     
#     dgpuC <- dgpuA - 1
#     dgpuC2 <- 1 - dgpuA
#     
#     expect_is(dgpuC, "dvclMatrix")
#     expect_equal(dgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent") 
#     expect_is(dgpuC2, "dvclMatrix")
#     expect_equal(dgpuC2[,], C2, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent") 
# })
# 
# test_that("vclMatrix Double Precision Unary Matrix Subtraction", {
#     
#     has_gpu_skip()
#     has_double_skip()
#     
#     C <- -A
#     
#     fgpuA <- vclMatrix(A, type="double")
#     
#     fgpuC <- -fgpuA
#     
#     expect_is(fgpuC, "dvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent") 
# })
# 
# test_that("vclMatrix Double Precision Matrix Element-Wise Multiplication", {
#     
#     has_gpu_skip()
#     has_double_skip()
#     
#     C <- A * B
#     
#     dgpuA <- vclMatrix(A, type="double")
#     dgpuB <- vclMatrix(B, type="double")
#     dgpuE <- vclMatrix(E, type="double")
#     
#     dgpuC <- dgpuA * dgpuB
#     
#     expect_is(dgpuC, "dvclMatrix")
#     expect_equal(dgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent")  
#     expect_error(dgpuA * dgpuE)
#     
#     dgpuC <- A * dgpuB
#     
#     expect_is(dgpuC, "dvclMatrix")
#     expect_equal(dgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent") 
#     
#     dgpuC <- dgpuA * B
#     
#     expect_is(dgpuC, "dvclMatrix")
#     expect_equal(dgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent") 
# })
# 
# test_that("vclMatrix Double Precision Scalar Matrix Multiplication", {
#     
#     has_gpu_skip()
#     has_double_skip()
#     
#     C <- A * 2
#     C2 <- 2 * A
#     
#     dgpuA <- vclMatrix(A, type="double")
#     
#     dgpuC <- dgpuA * 2
#     dgpuC2 <- 2 * dgpuA
#     
#     expect_is(dgpuC, "dvclMatrix")
#     expect_equal(dgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent") 
#     expect_is(dgpuC2, "dvclMatrix")
#     expect_equal(dgpuC2[,], C2, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent") 
# })
# 
# test_that("vclMatrix Double Precision Matrix Element-Wise Division", {
#     
#     has_gpu_skip()
#     has_double_skip()
#     
#     C <- A / B
#     
#     dgpuA <- vclMatrix(A, type="double")
#     dgpuB <- vclMatrix(B, type="double")
#     dgpuE <- vclMatrix(E, type="double")
#     
#     dgpuC <- dgpuA / dgpuB
#     
#     expect_is(dgpuC, "dvclMatrix")
#     expect_equal(dgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent")  
#     expect_error(dgpuA * dgpuE)
#     
#     dgpuC <- A / dgpuB
#     
#     expect_is(dgpuC, "dvclMatrix")
#     expect_equal(dgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent")  
#     
#     dgpuC <- dgpuA / B
#     
#     expect_is(dgpuC, "dvclMatrix")
#     expect_equal(dgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent")  
# })
# 
# test_that("vclMatrix Double Precision Scalar Matrix Division", {
#     
#     has_gpu_skip()
#     has_double_skip()
#     
#     C <- A/2
#     C2 <- 2/A
#     
#     dgpuA <- vclMatrix(A, type="double")
#     
#     dgpuC <- dgpuA/2
#     dgpuC2 <- 2/dgpuA
#     
#     expect_is(dgpuC, "dvclMatrix")
#     expect_equal(dgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent") 
#     expect_is(dgpuC2, "dvclMatrix")
#     expect_equal(dgpuC2[,], C2, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent") 
# })
# 
# test_that("vclMatrix Double Precision Matrix Element-Wise Power", {
#     
#     has_gpu_skip()
#     has_double_skip()
#     pocl_check()
#     
#     C <- A ^ B
#     
#     fgpuA <- vclMatrix(A, type="double")
#     fgpuB <- vclMatrix(B, type="double")
#     fgpuE <- vclMatrix(E, type="double")
#     
#     fgpuC <- fgpuA ^ fgpuB
#     
#     expect_is(fgpuC, "dvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent")  
#     expect_error(fgpuA ^ fgpuE)
#     
#     fgpuC <- A ^ fgpuB
#     
#     expect_is(fgpuC, "dvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent")  
#     
#     fgpuC <- fgpuA ^ B
#     
#     expect_is(fgpuC, "dvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent")  
# })
# 
# test_that("vclMatrix Double Precision Scalar Matrix Power", {
#     
#     has_gpu_skip()
#     has_double_skip()
#     
#     C <- A^2
#     
#     dgpuA <- vclMatrix(A, type="double")
#     
#     dgpuC <- dgpuA^2
#     
#     expect_is(dgpuC, "dvclMatrix")
#     expect_equal(dgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent") 
# })
# 
# test_that("vclMatrix Double Precision crossprod", {
#     
#     has_gpu_skip()
#     has_double_skip()
#     
#     X <- matrix(rnorm(10), nrow=2)
#     Y <- matrix(rnorm(10), nrow=2)
#     Z <- matrix(rnorm(10), nrow=5)
#     
#     C <- crossprod(X,Y)
#     Cs <- crossprod(X)
#     
#     fgpuX <- vclMatrix(X, type="double")
#     fgpuY <- vclMatrix(Y, type="double")
#     fgpuZ <- vclMatrix(Z, type="double")
#     
#     fgpuC <- crossprod(fgpuX, fgpuY)
#     fgpuCs <- crossprod(fgpuX)
#     
#     expect_is(fgpuC, "dvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent")  
#     expect_equal(fgpuCs[,], Cs, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent") 
#     expect_error(crossprod(fgpuX, fgpuZ))
#     
#     fgpuC <- crossprod(fgpuX, Y)
#     
#     expect_is(fgpuC, "dvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent")  
#     
#     fgpuC <- crossprod(X, fgpuY)
#     
#     expect_is(fgpuC, "dvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent")  
# })
# 
# test_that("vclMatrix Double Precision tcrossprod", {
#     
#     has_gpu_skip()
#     has_double_skip()
#     
#     X <- matrix(rnorm(10), nrow=2)
#     Y <- matrix(rnorm(10), nrow=2)
#     Z <- matrix(rnorm(12), nrow=2)
#     
#     C <- tcrossprod(X,Y)
#     Cs <- tcrossprod(X)
#     
#     fgpuX <- vclMatrix(X, type="double")
#     fgpuY <- vclMatrix(Y, type="double")
#     fgpuZ <- vclMatrix(Z, type="double")
#     
#     fgpuC <- tcrossprod(fgpuX, fgpuY)
#     fgpuCs <- tcrossprod(fgpuX)
#     
#     expect_is(fgpuC, "dvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent")  
#     expect_equal(fgpuCs[,], Cs, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent") 
#     expect_error(tcrossprod(fgpuX, fgpuZ))
#     
#     fgpuC <- tcrossprod(fgpuX, Y)
#     
#     expect_is(fgpuC, "dvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent")  
#     
#     fgpuC <- tcrossprod(X, fgpuY)
#     
#     expect_is(fgpuC, "dvclMatrix")
#     expect_equal(fgpuC[,], C, tolerance=.Machine$double.eps ^ 0.5, 
#                  info="double matrix elements not equivalent")  
# })
# 
# test_that("vclMatrix Double Precision transpose", {
# 
#     has_gpu_skip()
#     has_double_skip()
# 
#     At <- t(A)
# 
#     fgpuA <- vclMatrix(A, type="double")
#     fgpuAt <- t(fgpuA)
# 
#     expect_is(fgpuAt, "dvclMatrix")
#     expect_equal(fgpuAt[,], At, tolerance=.Machine$double.eps^0.5,
#                  info="transposed double matrix elements not equivalent")
# })
# 
# 
# # test_that("vclMatrix Integer Matrix multiplication", {
# #
# #     has_gpu_skip()
# #
# #     Cint <- Aint %*% Bint
# #
# #     igpuA <- vclMatrix(Aint, type="integer")
# #     igpuB <- vclMatrix(Bint, type="integer")
# #
# #     igpuC <- igpuA %*% igpuB
# #
# #     expect_equivalent(igpuC[,], Cint,
# #                       info="float matrix elements not equivalent")
# # })
# #
# # test_that("vclMatrix Integer Matrix Subtraction", {
# #
# #     has_gpu_skip()
# #
# #     Cint <- Aint - Bint
# #
# #     igpuA <- vclMatrix(Aint, type="integer")
# #     igpuB <- vclMatrix(Bint, type="integer")
# #
# #     igpuC <- igpuA - igpuB
# #
# #     expect_is(igpuC, "ivclMatrix")
# #     expect_equal(igpuC[,], Cint,
# #                  info="integer matrix elements not equivalent")
# # })
# #
# # test_that("vclMatrix Integer Matrix Addition", {
# #
# #     has_gpu_skip()
# #
# #     Cint <- Aint + Bint
# #
# #     igpuA <- vclMatrix(Aint, type="integer")
# #     igpuB <- vclMatrix(Bint, type="integer")
# #
# #     igpuC <- igpuA + igpuB
# #
# #     expect_is(igpuC, "ivclMatrix")
# #     expect_equal(igpuC[,], Cint,
# #                  info="integer matrix elements not equivalent")
# # })
# 
# 
# 
# test_that("CPU vclMatrix Diagonal access", {
# 
#     has_gpu_skip()
# 
#     fgpuA <- vclMatrix(A, type="float")
# 
#     D <- diag(A)
#     gpuD <- diag(fgpuA)
# 
#     expect_is(gpuD, "fvclVector")
#     expect_equal(gpuD[,], D, tolerance=1e-07,
#                  info="float matrix diagonal elements not equivalent")
# 
#     vec <- rnorm(ORDER)
#     diag(fgpuA) <- vclVector(vec, type = "float")
#     diag(A) <- vec
# 
#     expect_equal(fgpuA[,], A, tolerance=1e-07,
#                  info="set float matrix diagonal elements not equivalent")
# 
#     has_double_skip()
# 
#     fgpuA <- vclMatrix(A, type="double")
# 
#     D <- diag(A)
#     gpuD <- diag(fgpuA)
# 
#     expect_is(gpuD, "dvclVector")
#     expect_equal(gpuD[,], D, tolerance=.Machine$double.eps^0.5,
#                  info="double matrix diagonal elements not equivalent")
# 
#     vec <- rnorm(ORDER)
#     diag(fgpuA) <- vclVector(vec, type = "double")
#     diag(A) <- vec
# 
#     expect_equal(fgpuA[,], A, tolerance=.Machine$double.eps^0.5,
#                  info="set double matrix diagonal elements not equivalent")
# })
# 
# test_that("vclMatrix Double Precision determinant", {
#     
#     has_gpu_skip()
#     has_double_skip()
#     
#     d <- det(A)
#     
#     fgpuA <- vclMatrix(A, type="double")
#     fgpud <- det(fgpuA)
#     
#     expect_is(fgpud, "numeric")
#     expect_equal(fgpud, d, tolerance=.Machine$double.eps^0.5, 
#                  info="double determinants not equivalent") 
# })

setContext(current_context)