From 410c364ce5f848f7aa5b82959d13d1e668ff4ba5 Mon Sep 17 00:00:00 2001 From: Adam Welc <adam.welc@oracle.com> Date: Sun, 22 Jun 2014 11:25:59 -0700 Subject: [PATCH] Extended the "Rderived" library to include linpack fortran functions required to run b25.matcal-5 benchmark (enabled the benchmark in the suite). --- com.oracle.truffle.r.native/Makefile | 34 +- .../lib/darwin/libR.dylib | Bin 2995524 -> 0 bytes .../lib/darwin/libRDerived.dylib | Bin 25064 -> 50840 bytes .../lib/linux/libRDerived.so | Bin 18299 -> 48479 bytes com.oracle.truffle.r.native/src/dchdc.f | 234 +++++++++ com.oracle.truffle.r.native/src/dpbfa.f | 100 ++++ com.oracle.truffle.r.native/src/dpbsl.f | 83 +++ com.oracle.truffle.r.native/src/dpoco.f | 195 +++++++ com.oracle.truffle.r.native/src/dpodi.f | 122 +++++ com.oracle.truffle.r.native/src/dpofa.f | 78 +++ com.oracle.truffle.r.native/src/dposl.f | 72 +++ com.oracle.truffle.r.native/src/dqrdc.f | 208 ++++++++ com.oracle.truffle.r.native/src/dqrdc2.f | 194 +++++++ com.oracle.truffle.r.native/src/dqrls.f | 116 ++++ com.oracle.truffle.r.native/src/dqrsl.f | 275 ++++++++++ com.oracle.truffle.r.native/src/dqrutl.f | 66 +++ com.oracle.truffle.r.native/src/dsvdc.f | 495 ++++++++++++++++++ com.oracle.truffle.r.native/src/dtrco.f | 161 ++++++ com.oracle.truffle.r.native/src/dtrsl.f | 141 +++++ .../r/runtime/ffi/jnr/JNR_RFFIFactory.java | 4 +- mx.fastr/mx_fastr.py | 2 +- 21 files changed, 2572 insertions(+), 8 deletions(-) delete mode 100755 com.oracle.truffle.r.native/lib/darwin/libR.dylib create mode 100644 com.oracle.truffle.r.native/src/dchdc.f create mode 100644 com.oracle.truffle.r.native/src/dpbfa.f create mode 100644 com.oracle.truffle.r.native/src/dpbsl.f create mode 100644 com.oracle.truffle.r.native/src/dpoco.f create mode 100644 com.oracle.truffle.r.native/src/dpodi.f create mode 100644 com.oracle.truffle.r.native/src/dpofa.f create mode 100644 com.oracle.truffle.r.native/src/dposl.f create mode 100644 com.oracle.truffle.r.native/src/dqrdc.f create mode 100644 com.oracle.truffle.r.native/src/dqrdc2.f create mode 100644 com.oracle.truffle.r.native/src/dqrls.f create mode 100644 com.oracle.truffle.r.native/src/dqrsl.f create mode 100644 com.oracle.truffle.r.native/src/dqrutl.f create mode 100644 com.oracle.truffle.r.native/src/dsvdc.f create mode 100644 com.oracle.truffle.r.native/src/dtrco.f create mode 100644 com.oracle.truffle.r.native/src/dtrsl.f diff --git a/com.oracle.truffle.r.native/Makefile b/com.oracle.truffle.r.native/Makefile index fcc82719fd..5ef07e48d2 100644 --- a/com.oracle.truffle.r.native/Makefile +++ b/com.oracle.truffle.r.native/Makefile @@ -21,16 +21,38 @@ # questions. # -all: ifneq ($(shell uname), Darwin) - gcc -fPIC -shared -o ./lib/linux/libRDerived.so ./src/fft.c +OS_DIR=linux else - gcc -fPIC -dynamiclib -o ./lib/darwin/libRDerived.dylib ./src/fft.c +OS_DIR=darwin endif -clean: +SRC = src +OBJ = lib/$(OS_DIR) + +C_SOURCES := $(wildcard $(SRC)/*.c) +F_SOURCES := $(wildcard $(SRC)/*.f) + +C_OBJECTS := $(subst $(SRC),$(OBJ),$(C_SOURCES:.c=.o)) +F_OBJECTS := $(subst $(SRC),$(OBJ),$(F_SOURCES:.f=.o)) + +all: $(C_OBJECTS) $(F_OBJECTS) ifneq ($(shell uname), Darwin) - rm -f ./lib/linux/libRDerived.* + gcc -fPIC -shared -o ./lib/linux/libRDerived.so $(C_OBJECTS) $(F_OBJECTS) else - rm -f ./lib/darwin/libRDerived.* + gcc -dynamiclib -undefined dynamic_lookup -o ./lib/darwin/libRDerived.dylib $(C_OBJECTS) $(F_OBJECTS) endif + +$(OBJ)/%.o: $(SRC)/%.c + gcc -fPIC -O2 -c $< -o $@ + +$(OBJ)/%.o: $(SRC)/%.f + gfortran -fPIC -O2 -c $< -o $@ + + +clean: + rm -f ./lib/$(OS_DIR)/libRDerived.* + rm -f ./lib/$(OS_DIR)/*.o + +cleanobj: + rm -f ./lib/$(OS_DIR)/*.o diff --git a/com.oracle.truffle.r.native/lib/darwin/libR.dylib b/com.oracle.truffle.r.native/lib/darwin/libR.dylib deleted file mode 100755 index 6dea2826530ec11fb3ebd03d113c7fa306b85550..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 2995524 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z=K(Wc`+~(W&vOW4#D0E75hLjQijV)%&z-0Pi$mOiOg4eVG0(4Phl-<{(+3tuHUYw( z1a&9+`4w});#kVP<iwmDq$4R9l8Z`;OG?wy^pY9k<DEnNgW`QWgF`?kRm8iX@VuOn zq*C(Z({u8Z5_96g-LCk=(h7#;{M>?^)RNQ`Ju_nyO9qfcd}d08o|&<!Ap@l6mQtFV zTM4tr)z1ZNja!hTuWLMv2eJmnM%V)G<AH5SODoY!1|5QtTfvZ@lM<iDke8O2%#aH@ z9)lsfgdsPvA`L_oFvPq2_&YiJ#QVFs1-pjChd4U<xW+TY$EOtM$7dwwrR1bC#6$cD zwa+Ee&(YV@nF0OC4lL(#fKKhm1i2y}d=v-jNgfUk$OmsApUMF`$^(2d2lT`a(D5E= Lh@(9qhl2nBf(}o- diff --git a/com.oracle.truffle.r.native/src/dchdc.f b/com.oracle.truffle.r.native/src/dchdc.f new file mode 100644 index 0000000000..81b6786bde --- /dev/null +++ b/com.oracle.truffle.r.native/src/dchdc.f @@ -0,0 +1,234 @@ + subroutine dchdc(a,lda,p,work,jpvt,job,info) + integer lda,p,jpvt(p),job,info + double precision a(lda,p),work(*) +c +c dchdc computes the cholesky decomposition of a positive definite +c matrix. a pivoting option allows the user to estimate the +c condition of a positive definite matrix or determine the rank +c of a positive semidefinite matrix. +c +c on entry +c +c a double precision(lda,p). +c a contains the matrix whose decomposition is to +c be computed. onlt the upper half of a need be stored. +c the lower part of the array a is not referenced. +c +c lda integer. +c lda is the leading dimension of the array a. +c +c p integer. +c p is the order of the matrix. +c +c work double precision. +c work is a work array. +c +c jpvt integer(p). +c jpvt contains integers that control the selection +c of the pivot elements, if pivoting has been requested. +c each diagonal element a(k,k) +c is placed in one of three classes according to the +c value of jpvt(k). +c +c if jpvt(k) .gt. 0, then x(k) is an initial +c element. +c +c if jpvt(k) .eq. 0, then x(k) is a free element. +c +c if jpvt(k) .lt. 0, then x(k) is a final element. +c +c before the decomposition is computed, initial elements +c are moved by symmetric row and column interchanges to +c the beginning of the array a and final +c elements to the end. both initial and final elements +c are frozen in place during the computation and only +c free elements are moved. at the k-th stage of the +c reduction, if a(k,k) is occupied by a free element +c it is interchanged with the largest free element +c a(l,l) with l .ge. k. jpvt is not referenced if +c job .eq. 0. +c +c job integer. +c job is an integer that initiates column pivoting. +c if job .eq. 0, no pivoting is done. +c if job .ne. 0, pivoting is done. +c +c on return +c +c a a contains in its upper half the cholesky factor +c of the matrix a as it has been permuted by pivoting. +c +c jpvt jpvt(j) contains the index of the diagonal element +c of a that was moved into the j-th position, +c provided pivoting was requested. +c +c info contains the index of the last positive diagonal +c element of the cholesky factor. +c +c for positive definite matrices info = p is the normal return. +c for pivoting with positive semidefinite matrices info will +c in general be less than p. however, info may be greater than +c the rank of a, since rounding error can cause an otherwise zero +c element to be positive. indefinite systems will always cause +c info to be less than p. +c +c linpack. this version dated 08/14/78 . +c j.j. dongarra and g.w. stewart, argonne national laboratory and +c university of maryland. +c +c +c blas daxpy,dswap +c fortran dsqrt +c +c internal variables +c + integer pu,pl,plp1,j,jp,jt,k,kb,km1,kp1,l,maxl + double precision temp + double precision maxdia + logical swapk,negk +c + pl = 1 + pu = 0 + info = p + if (job .eq. 0) go to 160 +c +c pivoting has been requested. rearrange the +c the elements according to jpvt. +c + do 70 k = 1, p + swapk = jpvt(k) .gt. 0 + negk = jpvt(k) .lt. 0 + jpvt(k) = k + if (negk) jpvt(k) = -jpvt(k) + if (.not.swapk) go to 60 + if (k .eq. pl) go to 50 + call dswap(pl-1,a(1,k),1,a(1,pl),1) + temp = a(k,k) + a(k,k) = a(pl,pl) + a(pl,pl) = temp + plp1 = pl + 1 + if (p .lt. plp1) go to 40 + do 30 j = plp1, p + if (j .ge. k) go to 10 + temp = a(pl,j) + a(pl,j) = a(j,k) + a(j,k) = temp + go to 20 + 10 continue + if (j .eq. k) go to 20 + temp = a(k,j) + a(k,j) = a(pl,j) + a(pl,j) = temp + 20 continue + 30 continue + 40 continue + jpvt(k) = jpvt(pl) + jpvt(pl) = k + 50 continue + pl = pl + 1 + 60 continue + 70 continue + pu = p + if (p .lt. pl) go to 150 + do 140 kb = pl, p + k = p - kb + pl + if (jpvt(k) .ge. 0) go to 130 + jpvt(k) = -jpvt(k) + if (pu .eq. k) go to 120 + call dswap(k-1,a(1,k),1,a(1,pu),1) + temp = a(k,k) + a(k,k) = a(pu,pu) + a(pu,pu) = temp + kp1 = k + 1 + if (p .lt. kp1) go to 110 + do 100 j = kp1, p + if (j .ge. pu) go to 80 + temp = a(k,j) + a(k,j) = a(j,pu) + a(j,pu) = temp + go to 90 + 80 continue + if (j .eq. pu) go to 90 + temp = a(k,j) + a(k,j) = a(pu,j) + a(pu,j) = temp + 90 continue + 100 continue + 110 continue + jt = jpvt(k) + jpvt(k) = jpvt(pu) + jpvt(pu) = jt + 120 continue + pu = pu - 1 + 130 continue + 140 continue + 150 continue + 160 continue + do 270 k = 1, p +c +c reduction loop. +c + maxdia = a(k,k) + kp1 = k + 1 + maxl = k +c +c determine the pivot element. +c + if (k .lt. pl .or. k .ge. pu) go to 190 + do 180 l = kp1, pu + if (a(l,l) .le. maxdia) go to 170 + maxdia = a(l,l) + maxl = l + 170 continue + 180 continue + 190 continue +c +c quit if the pivot element is not positive. +c + if (maxdia .gt. 0.0d0) go to 200 + info = k - 1 +c ......exit + go to 280 + 200 continue + if (k .eq. maxl) go to 210 +c +c start the pivoting and update jpvt. +c + km1 = k - 1 + call dswap(km1,a(1,k),1,a(1,maxl),1) + a(maxl,maxl) = a(k,k) + a(k,k) = maxdia + jp = jpvt(maxl) + jpvt(maxl) = jpvt(k) + jpvt(k) = jp + 210 continue +c +c reduction step. pivoting is contained across the rows. +c + work(k) = dsqrt(a(k,k)) + a(k,k) = work(k) + if (p .lt. kp1) go to 260 + do 250 j = kp1, p + if (k .eq. maxl) go to 240 + if (j .ge. maxl) go to 220 + temp = a(k,j) + a(k,j) = a(j,maxl) + a(j,maxl) = temp + go to 230 + 220 continue + if (j .eq. maxl) go to 230 + temp = a(k,j) + a(k,j) = a(maxl,j) + a(maxl,j) = temp + 230 continue + 240 continue + a(k,j) = a(k,j)/work(k) + work(j) = a(k,j) + temp = -a(k,j) + call daxpy(j-k,temp,work(kp1),1,a(kp1,j),1) + 250 continue + 260 continue + 270 continue + 280 continue + return + end diff --git a/com.oracle.truffle.r.native/src/dpbfa.f b/com.oracle.truffle.r.native/src/dpbfa.f new file mode 100644 index 0000000000..3c22a86094 --- /dev/null +++ b/com.oracle.truffle.r.native/src/dpbfa.f @@ -0,0 +1,100 @@ + subroutine dpbfa(abd,lda,n,m,info) + + integer lda,n,m,info + double precision abd(lda,n) +c +c dpbfa factors a double precision symmetric positive definite +c matrix stored in band form. +c +c dpbfa is usually called by dpbco, but it can be called +c directly with a saving in time if rcond is not needed. +c +c on entry +c +c abd double precision(lda, n) +c the matrix to be factored. the columns of the upper +c triangle are stored in the columns of abd and the +c diagonals of the upper triangle are stored in the +c rows of abd . see the comments below for details. +c +c lda integer +c the leading dimension of the array abd . +c lda must be .ge. m + 1 . +c +c n integer +c the order of the matrix a . +c +c m integer +c the number of diagonals above the main diagonal. +c 0 .le. m .lt. n . +c +c on return +c +c abd an upper triangular matrix r , stored in band +c form, so that a = trans(r)*r . +c +c info integer +c = 0 for normal return. +c = k if the leading minor of order k is not +c positive definite. +c +c band storage +c +c if a is a symmetric positive definite band matrix, +c the following program segment will set up the input. +c +c m = (band width above diagonal) +c do 20 j = 1, n +c i1 = max0(1, j-m) +c do 10 i = i1, j +c k = i-j+m+1 +c abd(k,j) = a(i,j) +c 10 continue +c 20 continue +c +c linpack. this version dated 08/14/78 . +c cleve moler, university of new mexico, argonne national lab. +c +c subroutines and functions +c +c blas ddot +c fortran max0,sqrt +c +c internal variables +c + double precision ddot,t + double precision s + integer ik,j,jk,k,mu +c begin block with ...exits to 40 +c +c + do 30 j = 1, n + info = j + s = 0.0d0 + ik = m + 1 + jk = max0(j-m,1) + mu = max0(m+2-j,1) + if (m .lt. mu) go to 20 + do 10 k = mu, m + + t = abd(k,j) - ddot(k-mu,abd(ik,jk),1,abd(mu,j),1) + t = t/abd(m+1,jk) + abd(k,j) = t + s = s + t*t + ik = ik - 1 + jk = jk + 1 + 10 continue + 20 continue + + s = abd(m+1,j) - s +c ......exit + if (s .le. 0.0d0) go to 40 + + abd(m+1,j) = sqrt(s) + + 30 continue + info = 0 + 40 continue + return + end + diff --git a/com.oracle.truffle.r.native/src/dpbsl.f b/com.oracle.truffle.r.native/src/dpbsl.f new file mode 100644 index 0000000000..d910deef88 --- /dev/null +++ b/com.oracle.truffle.r.native/src/dpbsl.f @@ -0,0 +1,83 @@ + subroutine dpbsl(abd,lda,n,m,b) + + integer lda,n,m + double precision abd(lda,n),b(n) +c +c dpbsl solves the double precision symmetric positive definite +c band system a*x = b +c using the factors computed by dpbco or dpbfa. +c +c on entry +c +c abd double precision(lda, n) +c the output from dpbco or dpbfa. +c +c lda integer +c the leading dimension of the array abd . +c +c n integer +c the order of the matrix a . +c +c m integer +c the number of diagonals above the main diagonal. +c +c b double precision(n) +c the right hand side vector. +c +c on return +c +c b the solution vector x . +c +c error condition +c +c a division by zero will occur if the input factor contains +c a zero on the diagonal. technically this indicates +c singularity but it is usually caused by improper subroutine +c arguments. it will not occur if the subroutines are called +c correctly and info .eq. 0 . +c +c to compute inverse(a) * c where c is a matrix +c with p columns +c call dpbco(abd,lda,n,rcond,z,info) +c if (rcond is too small .or. info .ne. 0) go to ... +c do 10 j = 1, p +c call dpbsl(abd,lda,n,c(1,j)) +c 10 continue +c +c linpack. this version dated 08/14/78 . +c cleve moler, university of new mexico, argonne national lab. +c +c subroutines and functions +c +c blas daxpy,ddot +c fortran min0 +c +c internal variables +c + double precision ddot,t + integer k,kb,la,lb,lm +c +c solve trans(r)*y = b +c + do 10 k = 1, n + lm = min0(k-1,m) + la = m + 1 - lm + lb = k - lm + t = ddot(lm,abd(la,k),1,b(lb),1) + b(k) = (b(k) - t)/abd(m+1,k) + 10 continue +c +c solve r*x = y +c + do 20 kb = 1, n + k = n + 1 - kb + lm = min0(k-1,m) + la = m + 1 - lm + lb = k - lm + b(k) = b(k)/abd(m+1,k) + t = -b(k) + call daxpy(lm,t,abd(la,k),1,b(lb),1) + 20 continue + return + end + diff --git a/com.oracle.truffle.r.native/src/dpoco.f b/com.oracle.truffle.r.native/src/dpoco.f new file mode 100644 index 0000000000..83a7f1bd9b --- /dev/null +++ b/com.oracle.truffle.r.native/src/dpoco.f @@ -0,0 +1,195 @@ +c +c dpoco factors a double precision symmetric positive definite +c matrix and estimates the condition of the matrix. +c +c if rcond is not needed, dpofa is slightly faster. +c to solve a*x = b , follow dpoco by dposl. +c to compute inverse(a)*c , follow dpoco by dposl. +c to compute determinant(a) , follow dpoco by dpodi. +c to compute inverse(a) , follow dpoco by dpodi. +c +c on entry +c +c a double precision(lda, n) +c the symmetric matrix to be factored. only the +c diagonal and upper triangle are used. +c +c lda integer +c the leading dimension of the array a . +c +c n integer +c the order of the matrix a . +c +c on return +c +c a an upper triangular matrix r so that a = trans(r)*r +c where trans(r) is the transpose. +c the strict lower triangle is unaltered. +c if info .ne. 0 , the factorization is not complete. +c +c rcond double precision +c an estimate of the reciprocal condition of a . +c for the system a*x = b , relative perturbations +c in a and b of size epsilon may cause +c relative perturbations in x of size epsilon/rcond . +c if rcond is so small that the logical expression +c 1.0 + rcond .eq. 1.0 +c is true, then a may be singular to working +c precision. in particular, rcond is zero if +c exact singularity is detected or the estimate +c underflows. if info .ne. 0 , rcond is unchanged. +c +c z double precision(n) +c a work vector whose contents are usually unimportant. +c if a is close to a singular matrix, then z is +c an approximate null vector in the sense that +c norm(a*z) = rcond*norm(a)*norm(z) . +c if info .ne. 0 , z is unchanged. +c +c info integer +c = 0 for normal return. +c = k signals an error condition. the leading minor +c of order k is not positive definite. +c +c linpack. this version dated 08/14/78 . +c cleve moler, university of new mexico, argonne national lab. +c +c subroutines and functions +c +c linpack dpofa +c blas daxpy,ddot,dscal,dasum +c fortran dabs,dmax1,dreal,dsign +c + subroutine dpoco(a,lda,n,rcond,z,info) + integer lda,n,info + double precision a(lda,*),z(*) + double precision rcond +c +c internal variables +c + double precision ddot,ek,t,wk,wkm + double precision anorm,s,dasum,sm,ynorm + integer i,j,jm1,k,kb,kp1 +c +c +c find norm of a using only upper half +c + do 30 j = 1, n + z(j) = dasum(j,a(1,j),1) + jm1 = j - 1 + if (jm1 .lt. 1) go to 20 + do 10 i = 1, jm1 + z(i) = z(i) + dabs(a(i,j)) + 10 continue + 20 continue + 30 continue + anorm = 0.0d0 + do 40 j = 1, n + anorm = dmax1(anorm,z(j)) + 40 continue +c +c factor +c + call dpofa(a,lda,n,info) + if (info .ne. 0) go to 180 +c +c rcond = 1/(norm(a)*(estimate of norm(inverse(a)))) . +c estimate = norm(z)/norm(y) where a*z = y and a*y = e . +c the components of e are chosen to cause maximum local +c growth in the elements of w where trans(r)*w = e . +c the vectors are frequently rescaled to avoid overflow. +c +c solve trans(r)*w = e +c + ek = 1.0d0 + do 50 j = 1, n + z(j) = 0.0d0 + 50 continue + do 110 k = 1, n + if (z(k) .ne. 0.0d0) ek = dsign(ek,-z(k)) + if (dabs(ek-z(k)) .le. a(k,k)) go to 60 + s = a(k,k)/dabs(ek-z(k)) + call dscal(n,s,z,1) + ek = s*ek + 60 continue + wk = ek - z(k) + wkm = -ek - z(k) + s = dabs(wk) + sm = dabs(wkm) + wk = wk/a(k,k) + wkm = wkm/a(k,k) + kp1 = k + 1 + if (kp1 .gt. n) go to 100 + do 70 j = kp1, n + sm = sm + dabs(z(j)+wkm*a(k,j)) + z(j) = z(j) + wk*a(k,j) + s = s + dabs(z(j)) + 70 continue + if (s .ge. sm) go to 90 + t = wkm - wk + wk = wkm + do 80 j = kp1, n + z(j) = z(j) + t*a(k,j) + 80 continue + 90 continue + 100 continue + z(k) = wk + 110 continue + s = 1.0d0/dasum(n,z,1) + call dscal(n,s,z,1) +c +c solve r*y = w +c + do 130 kb = 1, n + k = n + 1 - kb + if (dabs(z(k)) .le. a(k,k)) go to 120 + s = a(k,k)/dabs(z(k)) + call dscal(n,s,z,1) + 120 continue + z(k) = z(k)/a(k,k) + t = -z(k) + call daxpy(k-1,t,a(1,k),1,z(1),1) + 130 continue + s = 1.0d0/dasum(n,z,1) + call dscal(n,s,z,1) +c + ynorm = 1.0d0 +c +c solve trans(r)*v = y +c + do 150 k = 1, n + z(k) = z(k) - ddot(k-1,a(1,k),1,z(1),1) + if (dabs(z(k)) .le. a(k,k)) go to 140 + s = a(k,k)/dabs(z(k)) + call dscal(n,s,z,1) + ynorm = s*ynorm + 140 continue + z(k) = z(k)/a(k,k) + 150 continue + s = 1.0d0/dasum(n,z,1) + call dscal(n,s,z,1) + ynorm = s*ynorm +c +c solve r*z = v +c + do 170 kb = 1, n + k = n + 1 - kb + if (dabs(z(k)) .le. a(k,k)) go to 160 + s = a(k,k)/dabs(z(k)) + call dscal(n,s,z,1) + ynorm = s*ynorm + 160 continue + z(k) = z(k)/a(k,k) + t = -z(k) + call daxpy(k-1,t,a(1,k),1,z(1),1) + 170 continue +c make znorm = 1.0 + s = 1.0d0/dasum(n,z,1) + call dscal(n,s,z,1) + ynorm = s*ynorm +c + if (anorm .ne. 0.0d0) rcond = ynorm/anorm + if (anorm .eq. 0.0d0) rcond = 0.0d0 + 180 continue + return + end diff --git a/com.oracle.truffle.r.native/src/dpodi.f b/com.oracle.truffle.r.native/src/dpodi.f new file mode 100644 index 0000000000..4d52c5998f --- /dev/null +++ b/com.oracle.truffle.r.native/src/dpodi.f @@ -0,0 +1,122 @@ +c +c dpodi computes the determinant and inverse of a certain +c double precision symmetric positive definite matrix (see below) +c using the factors computed by dpoco, dpofa or dqrdc. +c +c on entry +c +c a double precision(lda, n) +c the output a from dpoco or dpofa +c or the output x from dqrdc. +c +c lda integer +c the leading dimension of the array a . +c +c n integer +c the order of the matrix a . +c +c job integer +c = 11 both determinant and inverse. +c = 01 inverse only. +c = 10 determinant only. +c +c on return +c +c a if dpoco or dpofa was used to factor a then +c dpodi produces the upper half of inverse(a) . +c if dqrdc was used to decompose x then +c dpodi produces the upper half of inverse(trans(x)*x) +c where trans(x) is the transpose. +c elements of a below the diagonal are unchanged. +c if the units digit of job is zero, a is unchanged. +c +c det double precision(2) +c determinant of a or of trans(x)*x if requested. +c otherwise not referenced. +c determinant = det(1) * 10.0**det(2) +c with 1.0 .le. det(1) .lt. 10.0 +c or det(1) .eq. 0.0 . +c +c error condition +c +c a division by zero will occur if the input factor contains +c a zero on the diagonal and the inverse is requested. +c it will not occur if the subroutines are called correctly +c and if dpoco or dpofa has set info .eq. 0 . +c +c linpack. this version dated 08/14/78 . +c cleve moler, university of new mexico, argonne national lab. +c +c subroutines and functions +c +c blas daxpy,dscal +c fortran mod +c + subroutine dpodi(a,lda,n,det,job) + integer lda,n,job + double precision a(lda,*) + double precision det(2) +c +c internal variables +c + double precision t + double precision s + integer i,j,jm1,k,kp1 +c +c compute determinant +c + if (job/10 .eq. 0) go to 70 + det(1) = 1.0d0 + det(2) = 0.0d0 + s = 10.0d0 + do 50 i = 1, n + det(1) = a(i,i)**2*det(1) +c ...exit + if (det(1) .eq. 0.0d0) go to 60 + 10 if (det(1) .ge. 1.0d0) go to 20 + det(1) = s*det(1) + det(2) = det(2) - 1.0d0 + go to 10 + 20 continue + 30 if (det(1) .lt. s) go to 40 + det(1) = det(1)/s + det(2) = det(2) + 1.0d0 + go to 30 + 40 continue + 50 continue + 60 continue + 70 continue +c +c compute inverse(r) +c + if (mod(job,10) .eq. 0) go to 140 + do 100 k = 1, n + a(k,k) = 1.0d0/a(k,k) + t = -a(k,k) + call dscal(k-1,t,a(1,k),1) + kp1 = k + 1 + if (n .lt. kp1) go to 90 + do 80 j = kp1, n + t = a(k,j) + a(k,j) = 0.0d0 + call daxpy(k,t,a(1,k),1,a(1,j),1) + 80 continue + 90 continue + 100 continue +c +c form inverse(r) * trans(inverse(r)) +c + do 130 j = 1, n + jm1 = j - 1 + if (jm1 .lt. 1) go to 120 + do 110 k = 1, jm1 + t = a(k,j) + call daxpy(k,t,a(1,j),1,a(1,k),1) + 110 continue + 120 continue + t = a(j,j) + call dscal(j,t,a(1,j),1) + 130 continue + 140 continue + return + end diff --git a/com.oracle.truffle.r.native/src/dpofa.f b/com.oracle.truffle.r.native/src/dpofa.f new file mode 100644 index 0000000000..94d71d20ed --- /dev/null +++ b/com.oracle.truffle.r.native/src/dpofa.f @@ -0,0 +1,78 @@ +C Modified 2002-05-20 for R to add a tolerance of positive definiteness. +C +c +c dpofa factors a double precision symmetric positive definite +c matrix. +c +c dpofa is usually called by dpoco, but it can be called +c directly with a saving in time if rcond is not needed. +c (time for dpoco) = (1 + 18/n)*(time for dpofa) . +c +c on entry +c +c a double precision(lda, n) +c the symmetric matrix to be factored. only the +c diagonal and upper triangle are used. +c +c lda integer +c the leading dimension of the array a . +c +c n integer +c the order of the matrix a . +c +c on return +c +c a an upper triangular matrix r so that a = trans(r)*r +c where trans(r) is the transpose. +c the strict lower triangle is unaltered. +c if info .ne. 0 , the factorization is not complete. +c +c info integer +c = 0 for normal return. +c = k signals an error condition. the leading minor +c of order k is not positive definite. +c +c linpack. this version dated 08/14/78 . +c cleve moler, university of new mexico, argonne national lab. +c +c subroutines and functions +c +c blas ddot +c fortran dsqrt +c + subroutine dpofa(a,lda,n,info) + integer lda,n,info + double precision a(lda,*) +c +c internal variables +c + double precision ddot,t,eps + double precision s + integer j,jm1,k + data eps/1.d-14/ + +c begin block with ...exits to 40 +c +c + do 30 j = 1, n + info = j + s = 0.0d0 + jm1 = j - 1 + if (jm1 .lt. 1) go to 20 + do 10 k = 1, jm1 + t = a(k,j) - ddot(k-1,a(1,k),1,a(1,j),1) + t = t/a(k,k) + a(k,j) = t + s = s + t*t + 10 continue + 20 continue + s = a(j,j) - s +c ......exit +c if (s .le. 0.0d0) go to 40 + if (s .le. eps * abs(a(j,j))) go to 40 + a(j,j) = dsqrt(s) + 30 continue + info = 0 + 40 continue + return + end diff --git a/com.oracle.truffle.r.native/src/dposl.f b/com.oracle.truffle.r.native/src/dposl.f new file mode 100644 index 0000000000..41c0e69502 --- /dev/null +++ b/com.oracle.truffle.r.native/src/dposl.f @@ -0,0 +1,72 @@ +c +c dposl solves the double precision symmetric positive definite +c system a * x = b +c using the factors computed by dpoco or dpofa. +c +c on entry +c +c a double precision(lda, n) +c the output from dpoco or dpofa. +c +c lda integer +c the leading dimension of the array a . +c +c n integer +c the order of the matrix a . +c +c b double precision(n) +c the right hand side vector. +c +c on return +c +c b the solution vector x . +c +c error condition +c +c a division by zero will occur if the input factor contains +c a zero on the diagonal. technically this indicates +c singularity but it is usually caused by improper subroutine +c arguments. it will not occur if the subroutines are called +c correctly and info .eq. 0 . +c +c to compute inverse(a) * c where c is a matrix +c with p columns +c call dpoco(a,lda,n,rcond,z,info) +c if (rcond is too small .or. info .ne. 0) go to ... +c do 10 j = 1, p +c call dposl(a,lda,n,c(1,j)) +c 10 continue +c +c linpack. this version dated 08/14/78 . +c cleve moler, university of new mexico, argonne national lab. +c +c subroutines and functions +c +c blas daxpy,ddot +c + subroutine dposl(a,lda,n,b) + integer lda,n + double precision a(lda,*),b(*) +c +c internal variables +c + double precision ddot,t + integer k,kb +c +c solve trans(r)*y = b +c + do 10 k = 1, n + t = ddot(k-1,a(1,k),1,b(1),1) + b(k) = (b(k) - t)/a(k,k) + 10 continue +c +c solve r*x = y +c + do 20 kb = 1, n + k = n + 1 - kb + b(k) = b(k)/a(k,k) + t = -b(k) + call daxpy(k-1,t,a(1,k),1,b(1),1) + 20 continue + return + end diff --git a/com.oracle.truffle.r.native/src/dqrdc.f b/com.oracle.truffle.r.native/src/dqrdc.f new file mode 100644 index 0000000000..54c9320cbe --- /dev/null +++ b/com.oracle.truffle.r.native/src/dqrdc.f @@ -0,0 +1,208 @@ +c +c dqrdc uses householder transformations to compute the qr +c factorization of an n by p matrix x. column pivoting +c based on the 2-norms of the reduced columns may be +c performed at the users option. +c +c on entry +c +c x double precision(ldx,p), where ldx .ge. n. +c x contains the matrix whose decomposition is to be +c computed. +c +c ldx integer. +c ldx is the leading dimension of the array x. +c +c n integer. +c n is the number of rows of the matrix x. +c +c p integer. +c p is the number of columns of the matrix x. +c +c jpvt integer(p). +c jpvt contains integers that control the selection +c of the pivot columns. the k-th column x(k) of x +c is placed in one of three classes according to the +c value of jpvt(k). +c +c if jpvt(k) .gt. 0, then x(k) is an initial +c column. +c +c if jpvt(k) .eq. 0, then x(k) is a free column. +c +c if jpvt(k) .lt. 0, then x(k) is a final column. +c +c before the decomposition is computed, initial columns +c are moved to the beginning of the array x and final +c columns to the end. both initial and final columns +c are frozen in place during the computation and only +c free columns are moved. at the k-th stage of the +c reduction, if x(k) is occupied by a free column +c it is interchanged with the free column of largest +c reduced norm. jpvt is not referenced if +c job .eq. 0. +c +c work double precision(p). +c work is a work array. work is not referenced if +c job .eq. 0. +c +c job integer. +c job is an integer that initiates column pivoting. +c if job .eq. 0, no pivoting is done. +c if job .ne. 0, pivoting is done. +c +c on return +c +c x x contains in its upper triangle the upper +c triangular matrix r of the qr factorization. +c below its diagonal x contains information from +c which the orthogonal part of the decomposition +c can be recovered. note that if pivoting has +c been requested, the decomposition is not that +c of the original matrix x but that of x +c with its columns permuted as described by jpvt. +c +c qraux double precision(p). +c qraux contains further information required to recover +c the orthogonal part of the decomposition. +c +c jpvt jpvt(k) contains the index of the column of the +c original matrix that has been interchanged into +c the k-th column, if pivoting was requested. +c +c linpack. this version dated 08/14/78 . +c g.w. stewart, university of maryland, argonne national lab. +c +c dqrdc uses the following functions and subprograms. +c +c blas daxpy,ddot,dscal,dswap,dnrm2 +c fortran dabs,dmax1,min0,dsqrt +c + subroutine dqrdc(x,ldx,n,p,qraux,jpvt,work,job) + integer ldx,n,p,job + integer jpvt(*) + double precision x(ldx,*),qraux(*),work(*) +c +c internal variables +c + integer j,jp,jj, l,lp1,lup,maxj,pl,pu + double precision maxnrm,dnrm2,tt + double precision ddot,nrmxl,t + logical negj,swapj +c +c + pl = 1 + pu = 0 + if (job .eq. 0) go to 60 +c +c pivoting has been requested. rearrange the columns +c according to jpvt. +c + do 20 j = 1, p + swapj = jpvt(j) .gt. 0 + negj = jpvt(j) .lt. 0 + jpvt(j) = j + if (negj) jpvt(j) = -j + if (.not.swapj) go to 10 + if (j .ne. pl) call dswap(n,x(1,pl),1,x(1,j),1) + jpvt(j) = jpvt(pl) + jpvt(pl) = j + pl = pl + 1 + 10 continue + 20 continue + pu = p + do 50 jj = 1, p + j = p - jj + 1 + if (jpvt(j) .ge. 0) go to 40 + jpvt(j) = -jpvt(j) + if (j .eq. pu) go to 30 + call dswap(n,x(1,pu),1,x(1,j),1) + jp = jpvt(pu) + jpvt(pu) = jpvt(j) + jpvt(j) = jp + 30 continue + pu = pu - 1 + 40 continue + 50 continue + 60 continue +c +c compute the norms of the free columns. +c + if (pu .lt. pl) go to 80 + do 70 j = pl, pu + qraux(j) = dnrm2(n,x(1,j),1) + work(j) = qraux(j) + 70 continue + 80 continue +c +c perform the householder reduction of x. +c + lup = min0(n,p) + do 200 l = 1, lup + if (l .lt. pl .or. l .ge. pu) go to 120 +c +c locate the column of largest norm and bring it +c into the pivot position. +c + maxnrm = 0.0d0 + maxj = l + do 100 j = l, pu + if (qraux(j) .le. maxnrm) go to 90 + maxnrm = qraux(j) + maxj = j + 90 continue + 100 continue + if (maxj .eq. l) go to 110 + call dswap(n,x(1,l),1,x(1,maxj),1) + qraux(maxj) = qraux(l) + work(maxj) = work(l) + jp = jpvt(maxj) + jpvt(maxj) = jpvt(l) + jpvt(l) = jp + 110 continue + 120 continue + qraux(l) = 0.0d0 + if (l .eq. n) go to 190 +c +c compute the householder transformation for column l. +c + nrmxl = dnrm2(n-l+1,x(l,l),1) + if (nrmxl .eq. 0.0d0) go to 180 + if (x(l,l) .ne. 0.0d0) nrmxl = dsign(nrmxl,x(l,l)) + call dscal(n-l+1,1.0d0/nrmxl,x(l,l),1) + x(l,l) = 1.0d0 + x(l,l) +c +c apply the transformation to the remaining columns, +c updating the norms. +c + lp1 = l + 1 + if (p .lt. lp1) go to 170 + do 160 j = lp1, p + t = -ddot(n-l+1,x(l,l),1,x(l,j),1)/x(l,l) + call daxpy(n-l+1,t,x(l,l),1,x(l,j),1) + if (j .lt. pl .or. j .gt. pu) go to 150 + if (qraux(j) .eq. 0.0d0) go to 150 + tt = 1.0d0 - (dabs(x(l,j))/qraux(j))**2 + tt = dmax1(tt,0.0d0) + t = tt + tt = 1.0d0 + 0.05d0*tt*(qraux(j)/work(j))**2 + if (tt .eq. 1.0d0) go to 130 + qraux(j) = qraux(j)*dsqrt(t) + go to 140 + 130 continue + qraux(j) = dnrm2(n-l,x(l+1,j),1) + work(j) = qraux(j) + 140 continue + 150 continue + 160 continue + 170 continue +c +c save the transformation. +c + qraux(l) = x(l,l) + x(l,l) = -nrmxl + 180 continue + 190 continue + 200 continue + return + end diff --git a/com.oracle.truffle.r.native/src/dqrdc2.f b/com.oracle.truffle.r.native/src/dqrdc2.f new file mode 100644 index 0000000000..6e9e23ff2d --- /dev/null +++ b/com.oracle.truffle.r.native/src/dqrdc2.f @@ -0,0 +1,194 @@ +c +c dqrdc2 uses householder transformations to compute the qr +c factorization of an n by p matrix x. a limited column +c pivoting strategy based on the 2-norms of the reduced columns +c moves columns with near-zero norm to the right-hand edge of +c the x matrix. this strategy means that sequential one +c degree-of-freedom effects can be computed in a natural way. +c +c i am very nervous about modifying linpack code in this way. +c if you are a computational linear algebra guru and you really +c understand how to solve this problem please feel free to +c suggest improvements to this code. +c +c Another change was to compute the rank. +c +c on entry +c +c x double precision(ldx,p), where ldx .ge. n. +c x contains the matrix whose decomposition is to be +c computed. +c +c ldx integer. +c ldx is the leading dimension of the array x. +c +c n integer. +c n is the number of rows of the matrix x. +c +c p integer. +c p is the number of columns of the matrix x. +c +c tol double precision +c tol is the nonnegative tolerance used to +c determine the subset of the columns of x +c included in the solution. +c +c jpvt integer(p). +c integers which are swapped in the same way as the +c the columns of x during pivoting. on entry these +c should be set equal to the column indices of the +c columns of the x matrix (typically 1 to p). +c +c work double precision(p,2). +c work is a work array. +c +c on return +c +c x x contains in its upper triangle the upper +c triangular matrix r of the qr factorization. +c below its diagonal x contains information from +c which the orthogonal part of the decomposition +c can be recovered. note that if pivoting has +c been requested, the decomposition is not that +c of the original matrix x but that of x +c with its columns permuted as described by jpvt. +c +c k integer. +c k contains the number of columns of x judged +c to be linearly independent. +c +c qraux double precision(p). +c qraux contains further information required to recover +c the orthogonal part of the decomposition. +c +c jpvt jpvt(k) contains the index of the column of the +c original matrix that has been interchanged into +c the k-th column. +c +c original (dqrdc.f) linpack version dated 08/14/78 . +c g.w. stewart, university of maryland, argonne national lab. +c +c this version dated 22 august 1995 +c ross ihaka +c +c bug fixes 29 September 1999 BDR (p > n case, inaccurate ranks) +c +c +c dqrdc2 uses the following functions and subprograms. +c +c blas daxpy,ddot,dscal,dnrm2 +c fortran dabs,dmax1,min0,dsqrt +c + subroutine dqrdc2(x,ldx,n,p,tol,k,qraux,jpvt,work) + integer ldx,n,p + integer jpvt(*) + double precision x(ldx,*),qraux(*),work(p,2),tol +c +c internal variables +c + integer i,j,l,lp1,lup,k + double precision dnrm2,tt,ttt + double precision ddot,nrmxl,t +c +c +c compute the norms of the columns of x. +c + do 70 j = 1, p + qraux(j) = dnrm2(n,x(1,j),1) + work(j,1) = qraux(j) + work(j,2) = qraux(j) + if(work(j,2) .eq. 0.0d0) work(j,2) = 1.0d0 + 70 continue +c +c perform the householder reduction of x. +c + lup = min0(n,p) + k = p + 1 + do 200 l = 1, lup +c +c previous version only cycled l to lup +c +c cycle the columns from l to p left-to-right until one +c with non-negligible norm is located. a column is considered +c to have become negligible if its norm has fallen below +c tol times its original norm. the check for l .le. k +c avoids infinite cycling. +c + 80 continue + if (l .ge. k .or. qraux(l) .ge. work(l,2)*tol) go to 120 + lp1 = l+1 + do 100 i=1,n + t = x(i,l) + do 90 j=lp1,p + x(i,j-1) = x(i,j) + 90 continue + x(i,p) = t + 100 continue + i = jpvt(l) + t = qraux(l) + tt = work(l,1) + ttt = work(l,2) + do 110 j=lp1,p + jpvt(j-1) = jpvt(j) + qraux(j-1) = qraux(j) + work(j-1,1) = work(j,1) + work(j-1,2) = work(j,2) + 110 continue + jpvt(p) = i + qraux(p) = t + work(p,1) = tt + work(p,2) = ttt + k = k - 1 + go to 80 + 120 continue + if (l .eq. n) go to 190 +c +c compute the householder transformation for column l. +c + nrmxl = dnrm2(n-l+1,x(l,l),1) + if (nrmxl .eq. 0.0d0) go to 180 + if (x(l,l) .ne. 0.0d0) nrmxl = dsign(nrmxl,x(l,l)) + call dscal(n-l+1,1.0d0/nrmxl,x(l,l),1) + x(l,l) = 1.0d0 + x(l,l) +c +c apply the transformation to the remaining columns, +c updating the norms. +c + lp1 = l + 1 + if (p .lt. lp1) go to 170 + do 160 j = lp1, p + t = -ddot(n-l+1,x(l,l),1,x(l,j),1)/x(l,l) + call daxpy(n-l+1,t,x(l,l),1,x(l,j),1) + if (qraux(j) .eq. 0.0d0) go to 150 + tt = 1.0d0 - (dabs(x(l,j))/qraux(j))**2 + tt = dmax1(tt,0.0d0) + t = tt +c +c modified 9/99 by BDR. Re-compute norms if there is large reduction +c The tolerance here is on the squared norm +c In this version we need accurate norms, so re-compute often. +c work(j,1) is only updated in one case: looks like a bug -- no longer used +c +c tt = 1.0d0 + 0.05d0*tt*(qraux(j)/work(j,1))**2 +c if (tt .eq. 1.0d0) go to 130 + if (dabs(t) .lt. 1d-6) go to 130 + qraux(j) = qraux(j)*dsqrt(t) + go to 140 + 130 continue + qraux(j) = dnrm2(n-l,x(l+1,j),1) + work(j,1) = qraux(j) + 140 continue + 150 continue + 160 continue + 170 continue +c +c save the transformation. +c + qraux(l) = x(l,l) + x(l,l) = -nrmxl + 180 continue + 190 continue + 200 continue + k = min0(k - 1, n) + return + end diff --git a/com.oracle.truffle.r.native/src/dqrls.f b/com.oracle.truffle.r.native/src/dqrls.f new file mode 100644 index 0000000000..31e029f5a0 --- /dev/null +++ b/com.oracle.truffle.r.native/src/dqrls.f @@ -0,0 +1,116 @@ +c +c dqrfit is a subroutine to compute least squares solutions +c to the system +c +c (1) x * b = y +c +c which may be either under-determined or over-determined. +c the user must supply a tolerance to limit the columns of +c x used in computing the solution. in effect, a set of +c columns with a condition number approximately bounded by +c 1/tol is used, the other components of b being set to zero. +c +c on entry +c +c x double precision(n,p). +c x contains n-by-p coefficient matrix of +c the system (1), x is destroyed by dqrfit. +c +c n the number of rows of the matrix x. +c +c p the number of columns of the matrix x. +c +c y double precision(n,ny) +c y contains the right hand side(s) of the system (1). +c +c ny the number of right hand sides of the system (1). +c +c tol double precision +c tol is the nonnegative tolerance used to +c determine the subset of columns of x included +c in the solution. columns are pivoted out of +c decomposition if +c +c jpvt integer(p) +c the values in jpvt are permuted in the same +c way as the columns of x. this can be useful +c in unscrambling coefficients etc. +c +c work double precision(2*p) +c work is an array used by dqrdc2 and dqrsl. +c +c on return +c +c x contains the output array from dqrdc2. +c namely the qr decomposition of x stored in +c compact form. +c +c b double precision(p,ny) +c b contains the solution vectors with rows permuted +c in the same way as the columns of x. components +c corresponding to columns not used are set to zero. +c +c rsd double precision(n,ny) +c rsd contains the residual vectors y-x*b. +c +c qty double precision(n,ny) t +c qty contains the vectors q y. note that +c the initial p elements of this vector are +c permuted in the same way as the columns of x. +c +c k integer +c k contains the number of columns used in the +c solution. +c +c jpvt has its contents permuted as described above. +c +c qraux double precision(p) +c qraux contains auxiliary information on the +c qr decomposition of x. +c +c +c on return the arrays x, jpvt and qraux contain the +c usual output from dqrdc, so that the qr decomposition +c of x with pivoting is fully available to the user. +c in particular, columns jpvt(1), jpvt(2),...,jpvt(k) +c were used in the solution, and the condition number +c associated with those columns is estimated by +c abs(x(1,1)/x(k,k)). +c +c dqrfit uses the linpack routines dqrdc and dqrsl. +c + subroutine dqrls(x,n,p,y,ny,tol,b,rsd,qty,k,jpvt,qraux,work) + integer n,p,ny,k,jpvt(p) + double precision x(n,p),y(n,ny),tol,b(p,ny),rsd(n,ny), + . qty(n,ny),qraux(p),work(p) +c +c internal variables. +c + integer info,j,jj,kk +c +c reduce x. +c + call dqrdc2(x,n,n,p,tol,k,qraux,jpvt,work) +c +c solve the truncated least squares problem for each rhs. +c + if(k .gt. 0) then + do 20 jj=1,ny + 20 call dqrsl(x,n,n,k,qraux,y(1,jj),rsd(1,jj),qty(1,jj), + 1 b(1,jj),rsd(1,jj),rsd(1,jj),1110,info) + else + do 30 i=1,n + do 30 jj=1,ny + 30 rsd(i,jj) = y(i,jj) + endif +c +c set the unused components of b to zero. +c + kk = k + 1 + do 50 j=kk,p + do 40 jj=1,ny + b(j,jj) = 0.d0 + 40 continue + 50 continue + return + end diff --git a/com.oracle.truffle.r.native/src/dqrsl.f b/com.oracle.truffle.r.native/src/dqrsl.f new file mode 100644 index 0000000000..aab138a5fe --- /dev/null +++ b/com.oracle.truffle.r.native/src/dqrsl.f @@ -0,0 +1,275 @@ +c +c dqrsl applies the output of dqrdc to compute coordinate +c transformations, projections, and least squares solutions. +c for k .le. min(n,p), let xk be the matrix +c +c xk = (x(jpvt(1)),x(jpvt(2)), ... ,x(jpvt(k))) +c +c formed from columnns jpvt(1), ... ,jpvt(k) of the original +c n x p matrix x that was input to dqrdc (if no pivoting was +c done, xk consists of the first k columns of x in their +c original order). dqrdc produces a factored orthogonal matrix q +c and an upper triangular matrix r such that +c +c xk = q * (r) +c (0) +c +c this information is contained in coded form in the arrays +c x and qraux. +c +c on entry +c +c x double precision(ldx,p). +c x contains the output of dqrdc. +c +c ldx integer. +c ldx is the leading dimension of the array x. +c +c n integer. +c n is the number of rows of the matrix xk. it must +c have the same value as n in dqrdc. +c +c k integer. +c k is the number of columns of the matrix xk. k +c must nnot be greater than min(n,p), where p is the +c same as in the calling sequence to dqrdc. +c +c qraux double precision(p). +c qraux contains the auxiliary output from dqrdc. +c +c y double precision(n) +c y contains an n-vector that is to be manipulated +c by dqrsl. +c +c job integer. +c job specifies what is to be computed. job has +c the decimal expansion abcde, with the following +c meaning. +c +c if a.ne.0, compute qy. +c if b,c,d, or e .ne. 0, compute qty. +c if c.ne.0, compute b. +c if d.ne.0, compute rsd. +c if e.ne.0, compute xb. +c +c note that a request to compute b, rsd, or xb +c automatically triggers the computation of qty, for +c which an array must be provided in the calling +c sequence. +c +c on return +c +c qy double precision(n). +c qy conntains q*y, if its computation has been +c requested. +c +c qty double precision(n). +c qty contains trans(q)*y, if its computation has +c been requested. here trans(q) is the +c transpose of the matrix q. +c +c b double precision(k) +c b contains the solution of the least squares problem +c +c minimize norm2(y - xk*b), +c +c if its computation has been requested. (note that +c if pivoting was requested in dqrdc, the j-th +c component of b will be associated with column jpvt(j) +c of the original matrix x that was input into dqrdc.) +c +c rsd double precision(n). +c rsd contains the least squares residual y - xk*b, +c if its computation has been requested. rsd is +c also the orthogonal projection of y onto the +c orthogonal complement of the column space of xk. +c +c xb double precision(n). +c xb contains the least squares approximation xk*b, +c if its computation has been requested. xb is also +c the orthogonal projection of y onto the column space +c of x. +c +c info integer. +c info is zero unless the computation of b has +c been requested and r is exactly singular. in +c this case, info is the index of the first zero +c diagonal element of r and b is left unaltered. +c +c the parameters qy, qty, b, rsd, and xb are not referenced +c if their computation is not requested and in this case +c can be replaced by dummy variables in the calling program. +c to save storage, the user may in some cases use the same +c array for different parameters in the calling sequence. a +c frequently occuring example is when one wishes to compute +c any of b, rsd, or xb and does not need y or qty. in this +c case one may identify y, qty, and one of b, rsd, or xb, while +c providing separate arrays for anything else that is to be +c computed. thus the calling sequence +c +c call dqrsl(x,ldx,n,k,qraux,y,dum,y,b,y,dum,110,info) +c +c will result in the computation of b and rsd, with rsd +c overwriting y. more generally, each item in the following +c list contains groups of permissible identifications for +c a single callinng sequence. +c +c 1. (y,qty,b) (rsd) (xb) (qy) +c +c 2. (y,qty,rsd) (b) (xb) (qy) +c +c 3. (y,qty,xb) (b) (rsd) (qy) +c +c 4. (y,qy) (qty,b) (rsd) (xb) +c +c 5. (y,qy) (qty,rsd) (b) (xb) +c +c 6. (y,qy) (qty,xb) (b) (rsd) +c +c in any group the value returned in the array allocated to +c the group corresponds to the last member of the group. +c +c linpack. this version dated 08/14/78 . +c g.w. stewart, university of maryland, argonne national lab. +c +c dqrsl uses the following functions and subprograms. +c +c BLAS daxpy,dcopy,ddot +c Fortran dabs,min0,mod +c + subroutine dqrsl(x,ldx,n,k,qraux,y,qy,qty,b,rsd,xb,job,info) + integer ldx,n,k,job,info + double precision x(ldx,*),qraux(*),y(*),qy(*),qty(*),b(*),rsd(*), + * xb(*) +c +c internal variables +c + integer i,j,jj,ju,kp1 + double precision ddot,t,temp + logical cb,cqy,cqty,cr,cxb +c +c +c set info flag. +c + info = 0 +c +c determine what is to be computed. +c + cqy = job/10000 .ne. 0 + cqty = mod(job,10000) .ne. 0 + cb = mod(job,1000)/100 .ne. 0 + cr = mod(job,100)/10 .ne. 0 + cxb = mod(job,10) .ne. 0 + ju = min0(k,n-1) +c +c special action when n=1. +c + if (ju .ne. 0) go to 40 + if (cqy) qy(1) = y(1) + if (cqty) qty(1) = y(1) + if (cxb) xb(1) = y(1) + if (.not.cb) go to 30 + if (x(1,1) .ne. 0.0d0) go to 10 + info = 1 + go to 20 + 10 continue + b(1) = y(1)/x(1,1) + 20 continue + 30 continue + if (cr) rsd(1) = 0.0d0 + go to 250 + 40 continue +c +c set up to compute qy or qty. +c + if (cqy) call dcopy(n,y,1,qy,1) + if (cqty) call dcopy(n,y,1,qty,1) + if (.not.cqy) go to 70 +c +c compute qy. +c + do 60 jj = 1, ju + j = ju - jj + 1 + if (qraux(j) .eq. 0.0d0) go to 50 + temp = x(j,j) + x(j,j) = qraux(j) + t = -ddot(n-j+1,x(j,j),1,qy(j),1)/x(j,j) + call daxpy(n-j+1,t,x(j,j),1,qy(j),1) + x(j,j) = temp + 50 continue + 60 continue + 70 continue + if (.not.cqty) go to 100 +c +c compute trans(q)*y. +c + do 90 j = 1, ju + if (qraux(j) .eq. 0.0d0) go to 80 + temp = x(j,j) + x(j,j) = qraux(j) + t = -ddot(n-j+1,x(j,j),1,qty(j),1)/x(j,j) + call daxpy(n-j+1,t,x(j,j),1,qty(j),1) + x(j,j) = temp + 80 continue + 90 continue + 100 continue +c +c set up to compute b, rsd, or xb. +c + if (cb) call dcopy(k,qty,1,b,1) + kp1 = k + 1 + if (cxb) call dcopy(k,qty,1,xb,1) + if (cr .and. k .lt. n) call dcopy(n-k,qty(kp1),1,rsd(kp1),1) + if (.not.cxb .or. kp1 .gt. n) go to 120 + do 110 i = kp1, n + xb(i) = 0.0d0 + 110 continue + 120 continue + if (.not.cr) go to 140 + do 130 i = 1, k + rsd(i) = 0.0d0 + 130 continue + 140 continue + if (.not.cb) go to 190 +c +c compute b. +c + do 170 jj = 1, k + j = k - jj + 1 + if (x(j,j) .ne. 0.0d0) go to 150 + info = j +c ......exit + go to 180 + 150 continue + b(j) = b(j)/x(j,j) + if (j .eq. 1) go to 160 + t = -b(j) + call daxpy(j-1,t,x(1,j),1,b,1) + 160 continue + 170 continue + 180 continue + 190 continue + if (.not.cr .and. .not.cxb) go to 240 +c +c compute rsd or xb as required. +c + do 230 jj = 1, ju + j = ju - jj + 1 + if (qraux(j) .eq. 0.0d0) go to 220 + temp = x(j,j) + x(j,j) = qraux(j) + if (.not.cr) go to 200 + t = -ddot(n-j+1,x(j,j),1,rsd(j),1)/x(j,j) + call daxpy(n-j+1,t,x(j,j),1,rsd(j),1) + 200 continue + if (.not.cxb) go to 210 + t = -ddot(n-j+1,x(j,j),1,xb(j),1)/x(j,j) + call daxpy(n-j+1,t,x(j,j),1,xb(j),1) + 210 continue + x(j,j) = temp + 220 continue + 230 continue + 240 continue + 250 continue + return + end diff --git a/com.oracle.truffle.r.native/src/dqrutl.f b/com.oracle.truffle.r.native/src/dqrutl.f new file mode 100644 index 0000000000..2d208ca0d8 --- /dev/null +++ b/com.oracle.truffle.r.native/src/dqrutl.f @@ -0,0 +1,66 @@ +c dqr Utilities: Interface to the different "switches" of dqrsl(). +c + subroutine dqrqty(x, n, k, qraux, y, ny, qty) + + integer n, k, ny + double precision x(n,k), qraux(k), y(n,ny), qty(n,ny) + integer info, j + double precision dummy(1) + do 10 j = 1,ny + call dqrsl(x, n, n, k, qraux, y(1,j), dummy, qty(1,j), + & dummy, dummy, dummy, 1000, info) + 10 continue + return + end +c + subroutine dqrqy(x, n, k, qraux, y, ny, qy) + + integer n, k, ny + double precision x(n,k), qraux(k), y(n,ny), qy(n,ny) + integer info, j + double precision dummy(1) + do 10 j = 1,ny + call dqrsl(x, n, n, k, qraux, y(1,j), qy(1,j), + & dummy, dummy, dummy, dummy, 10000, info) + 10 continue + return + end +c + subroutine dqrcf(x, n, k, qraux, y, ny, b, info) + + integer n, k, ny, info + double precision x(n,k), qraux(k), y(n,ny), b(k,ny) + integer j + double precision dummy(1) + do 10 j = 1,ny + call dqrsl(x, n, n, k, qraux, y(1,j), dummy, + & y(1,j), b(1,j), dummy, dummy, 100, info) + 10 continue + return + end +c + subroutine dqrrsd(x, n, k, qraux, y, ny, rsd) + + integer n, k, ny + double precision x(n,k), qraux(k), y(n,ny), rsd(n,ny) + integer info, j + double precision dummy(1) + do 10 j = 1,ny + call dqrsl(x, n, n, k, qraux, y(1,j), dummy, + & y(1,j), dummy, rsd(1,j), dummy, 10, info) + 10 continue + return + end +c + subroutine dqrxb(x, n, k, qraux, y, ny, xb) + + integer n, k, ny + double precision x(n,k), qraux(k), y(n,ny), xb(n,ny) + integer info, j + double precision dummy(1) + do 10 j = 1,ny + call dqrsl(x, n, n, k, qraux, y(1,j), dummy, + & y(1,j), dummy, dummy, xb(1,j), 1, info) + 10 continue + return + end diff --git a/com.oracle.truffle.r.native/src/dsvdc.f b/com.oracle.truffle.r.native/src/dsvdc.f new file mode 100644 index 0000000000..bdfd97d77a --- /dev/null +++ b/com.oracle.truffle.r.native/src/dsvdc.f @@ -0,0 +1,495 @@ +c -- called from R's svd(x, ..., LINPACK = TRUE) , i.e, *NOT* by default -- +c +c dsvdc is a subroutine to reduce a double precision nxp matrix x +c by orthogonal transformations u and v to diagonal form. the +c diagonal elements s(i) are the singular values of x. the +c columns of u are the corresponding left singular vectors, +c and the columns of v the right singular vectors. +c +c on entry +c +c x double precision(ldx,p), where ldx.ge.n. +c x contains the matrix whose singular value +c decomposition is to be computed. x is +c destroyed by dsvdc. +c +c ldx integer. +c ldx is the leading dimension of the array x. +c +c n integer. +c n is the number of rows of the matrix x. +c +c p integer. +c p is the number of columns of the matrix x. +c +c ldu integer. +c ldu is the leading dimension of the array u. +c (see below). +c +c ldv integer. +c ldv is the leading dimension of the array v. +c (see below). +c +c work double precision(n). +c work is a scratch array. +c +c job integer. +c job controls the computation of the singular +c vectors. it has the decimal expansion ab +c with the following meaning +c +c a.eq.0 do not compute the left singular +c vectors. +c a.eq.1 return the n left singular vectors +c in u. +c a.ge.2 return the first min(n,p) singular +c vectors in u. +c b.eq.0 do not compute the right singular +c vectors. +c b.eq.1 return the right singular vectors +c in v. +c +c on return +c +c s double precision(mm), where mm=min(n+1,p). +c the first min(n,p) entries of s contain the +c singular values of x arranged in descending +c order of magnitude. +c +c e double precision(p), +c e ordinarily contains zeros. however see the +c discussion of info for exceptions. +c +c u double precision(ldu,k), where ldu.ge.n. if +c joba.eq.1 then k.eq.n, if joba.ge.2 +c then k.eq.min(n,p). +c u contains the matrix of left singular vectors. +c u is not referenced if joba.eq.0. if n.le.p +c or if joba.eq.2, then u may be identified with x +c in the subroutine call. +c +c v double precision(ldv,p), where ldv.ge.p. +c v contains the matrix of right singular vectors. +c v is not referenced if job.eq.0. if p.le.n, +c then v may be identified with x in the +c subroutine call. +c +c info integer. +c the singular values (and their corresponding +c singular vectors) s(info+1),s(info+2),...,s(m) +c are correct (here m=min(n,p)). thus if +c info.eq.0, all the singular values and their +c vectors are correct. in any event, the matrix +c b = trans(u)*x*v is the bidiagonal matrix +c with the elements of s on its diagonal and the +c elements of e on its super-diagonal (trans(u) +c is the transpose of u). thus the singular +c values of x and b are the same. +c +c linpack. this version dated 08/14/78 . +c correction made to shift 2/84. +c g.w. stewart, university of maryland, argonne national lab. +c +c Modified 2000-12-28 to use a relative convergence test, +c as this was infinite-looping on ix86. +c +c dsvdc uses the following functions and subprograms. +c +c external drot +c blas daxpy,ddot,dscal,dswap,dnrm2,drotg +c fortran dabs,dmax1,max0,min0,mod,dsqrt +c + subroutine dsvdc(x,ldx,n,p,s,e,u,ldu,v,ldv,work,job,info) + integer ldx,n,p,ldu,ldv,job,info + double precision x(ldx,*),s(*),e(*),u(ldu,*),v(ldv,*),work(*) +c +c internal variables +c + integer i,iter,j,jobu,k,kase,kk,l,ll,lls,lm1,lp1,ls,lu,m,maxit, + * mm,mm1,mp1,nct,nctp1,ncu,nrt,nrtp1 + double precision ddot,t + double precision b,c,cs,el,emm1,f,g,dnrm2,scale,shift,sl,sm,sn, + * smm1,t1,test,ztest,acc + logical wantu,wantv +c +c unnecessary initializations of l and ls to keep g77 -Wall happy +c + l = 0 + ls = 0 +c +c +c set the maximum number of iterations. +c + maxit = 30 +c +c determine what is to be computed. +c + wantu = .false. + wantv = .false. + jobu = mod(job,100)/10 + ncu = n + if (jobu .gt. 1) ncu = min0(n,p) + if (jobu .ne. 0) wantu = .true. + if (mod(job,10) .ne. 0) wantv = .true. +c +c reduce x to bidiagonal form, storing the diagonal elements +c in s and the super-diagonal elements in e. +c + info = 0 + nct = min0(n-1,p) + nrt = max0(0,min0(p-2,n)) + lu = max0(nct,nrt) + if (lu .lt. 1) go to 170 + do 160 l = 1, lu + lp1 = l + 1 + if (l .gt. nct) go to 20 +c +c compute the transformation for the l-th column and +c place the l-th diagonal in s(l). +c + s(l) = dnrm2(n-l+1,x(l,l),1) + if (s(l) .eq. 0.0d0) go to 10 + if (x(l,l) .ne. 0.0d0) s(l) = dsign(s(l),x(l,l)) + call dscal(n-l+1,1.0d0/s(l),x(l,l),1) + x(l,l) = 1.0d0 + x(l,l) + 10 continue + s(l) = -s(l) + 20 continue + if (p .lt. lp1) go to 50 + do 40 j = lp1, p + if (l .gt. nct) go to 30 + if (s(l) .eq. 0.0d0) go to 30 +c +c apply the transformation. +c + t = -ddot(n-l+1,x(l,l),1,x(l,j),1)/x(l,l) + call daxpy(n-l+1,t,x(l,l),1,x(l,j),1) + 30 continue +c +c place the l-th row of x into e for the +c subsequent calculation of the row transformation. +c + e(j) = x(l,j) + 40 continue + 50 continue + if (.not.wantu .or. l .gt. nct) go to 70 +c +c place the transformation in u for subsequent back +c multiplication. +c + do 60 i = l, n + u(i,l) = x(i,l) + 60 continue + 70 continue + if (l .gt. nrt) go to 150 +c +c compute the l-th row transformation and place the +c l-th super-diagonal in e(l). +c + e(l) = dnrm2(p-l,e(lp1),1) + if (e(l) .eq. 0.0d0) go to 80 + if (e(lp1) .ne. 0.0d0) e(l) = dsign(e(l),e(lp1)) + call dscal(p-l,1.0d0/e(l),e(lp1),1) + e(lp1) = 1.0d0 + e(lp1) + 80 continue + e(l) = -e(l) + if (lp1 .gt. n .or. e(l) .eq. 0.0d0) go to 120 +c +c apply the transformation. +c + do 90 i = lp1, n + work(i) = 0.0d0 + 90 continue + do 100 j = lp1, p + call daxpy(n-l,e(j),x(lp1,j),1,work(lp1),1) + 100 continue + do 110 j = lp1, p + call daxpy(n-l,-e(j)/e(lp1),work(lp1),1,x(lp1,j),1) + 110 continue + 120 continue + if (.not.wantv) go to 140 +c +c place the transformation in v for subsequent +c back multiplication. +c + do 130 i = lp1, p + v(i,l) = e(i) + 130 continue + 140 continue + 150 continue + 160 continue + 170 continue +c +c set up the final bidiagonal matrix or order m. +c + m = min0(p,n+1) + nctp1 = nct + 1 + nrtp1 = nrt + 1 + if (nct .lt. p) s(nctp1) = x(nctp1,nctp1) + if (n .lt. m) s(m) = 0.0d0 + if (nrtp1 .lt. m) e(nrtp1) = x(nrtp1,m) + e(m) = 0.0d0 +c +c if required, generate u. +c + if (.not.wantu) go to 300 + if (ncu .lt. nctp1) go to 200 + do 190 j = nctp1, ncu + do 180 i = 1, n + u(i,j) = 0.0d0 + 180 continue + u(j,j) = 1.0d0 + 190 continue + 200 continue + if (nct .lt. 1) go to 290 + do 280 ll = 1, nct + l = nct - ll + 1 + if (s(l) .eq. 0.0d0) go to 250 + lp1 = l + 1 + if (ncu .lt. lp1) go to 220 + do 210 j = lp1, ncu + t = -ddot(n-l+1,u(l,l),1,u(l,j),1)/u(l,l) + call daxpy(n-l+1,t,u(l,l),1,u(l,j),1) + 210 continue + 220 continue + call dscal(n-l+1,-1.0d0,u(l,l),1) + u(l,l) = 1.0d0 + u(l,l) + lm1 = l - 1 + if (lm1 .lt. 1) go to 240 + do 230 i = 1, lm1 + u(i,l) = 0.0d0 + 230 continue + 240 continue + go to 270 + 250 continue + do 260 i = 1, n + u(i,l) = 0.0d0 + 260 continue + u(l,l) = 1.0d0 + 270 continue + 280 continue + 290 continue + 300 continue +c +c if it is required, generate v. +c + if (.not.wantv) go to 350 + do 340 ll = 1, p + l = p - ll + 1 + lp1 = l + 1 + if (l .gt. nrt) go to 320 + if (e(l) .eq. 0.0d0) go to 320 + do 310 j = lp1, p + t = -ddot(p-l,v(lp1,l),1,v(lp1,j),1)/v(lp1,l) + call daxpy(p-l,t,v(lp1,l),1,v(lp1,j),1) + 310 continue + 320 continue + do 330 i = 1, p + v(i,l) = 0.0d0 + 330 continue + v(l,l) = 1.0d0 + 340 continue + 350 continue +c +c main iteration loop for the singular values. +c + mm = m + iter = 0 + 360 continue +c +c quit if all the singular values have been found. +c +c ...exit + if (m .eq. 0) go to 620 +c +c if too many iterations have been performed, set +c flag and return. +c + if (iter .lt. maxit) go to 370 + info = m +c ......exit + go to 620 + 370 continue +c +c this section of the program inspects for +c negligible elements in the s and e arrays. on +c completion the variables kase and l are set as follows. +c +c kase = 1 if s(m) and e(l-1) are negligible and l.lt.m +c kase = 2 if s(l) is negligible and l.lt.m +c kase = 3 if e(l-1) is negligible, l.lt.m, and +c s(l), ..., s(m) are not negligible (qr step). +c kase = 4 if e(m-1) is negligible (convergence). +c + do 390 ll = 1, m + l = m - ll +c ...exit + if (l .eq. 0) go to 400 + test = dabs(s(l)) + dabs(s(l+1)) + ztest = test + dabs(e(l)) + acc = dabs(test - ztest)/(1.0d-100 + test) + if (acc .gt. 1.d-15) goto 380 +c if (ztest .ne. test) go to 380 + e(l) = 0.0d0 +c ......exit + go to 400 + 380 continue + 390 continue + 400 continue + if (l .ne. m - 1) go to 410 + kase = 4 + go to 480 + 410 continue + lp1 = l + 1 + mp1 = m + 1 + do 430 lls = lp1, mp1 + ls = m - lls + lp1 +c ...exit + if (ls .eq. l) go to 440 + test = 0.0d0 + if (ls .ne. m) test = test + dabs(e(ls)) + if (ls .ne. l + 1) test = test + dabs(e(ls-1)) + ztest = test + dabs(s(ls)) +c 1.0d-100 is to guard against a zero matrix, hence zero test + acc = dabs(test - ztest)/(1.0d-100 + test) + if (acc .gt. 1.d-15) goto 420 +c if (ztest .ne. test) go to 420 + s(ls) = 0.0d0 +c ......exit + go to 440 + 420 continue + 430 continue + 440 continue + if (ls .ne. l) go to 450 + kase = 3 + go to 470 + 450 continue + if (ls .ne. m) go to 460 + kase = 1 + go to 470 + 460 continue + kase = 2 + l = ls + 470 continue + 480 continue + l = l + 1 +c +c perform the task indicated by kase. +c + go to (490,520,540,570), kase +c +c deflate negligible s(m). +c + 490 continue + mm1 = m - 1 + f = e(m-1) + e(m-1) = 0.0d0 + do 510 kk = l, mm1 + k = mm1 - kk + l + t1 = s(k) + call drotg(t1,f,cs,sn) + s(k) = t1 + if (k .eq. l) go to 500 + f = -sn*e(k-1) + e(k-1) = cs*e(k-1) + 500 continue + if (wantv) call drot(p,v(1,k),1,v(1,m),1,cs,sn) + 510 continue + go to 610 +c +c split at negligible s(l). +c + 520 continue + f = e(l-1) + e(l-1) = 0.0d0 + do 530 k = l, m + t1 = s(k) + call drotg(t1,f,cs,sn) + s(k) = t1 + f = -sn*e(k) + e(k) = cs*e(k) + if (wantu) call drot(n,u(1,k),1,u(1,l-1),1,cs,sn) + 530 continue + go to 610 +c +c perform one qr step. +c + 540 continue +c +c calculate the shift. +c + scale = dmax1(dabs(s(m)),dabs(s(m-1)),dabs(e(m-1)), + * dabs(s(l)),dabs(e(l))) + sm = s(m)/scale + smm1 = s(m-1)/scale + emm1 = e(m-1)/scale + sl = s(l)/scale + el = e(l)/scale + b = ((smm1 + sm)*(smm1 - sm) + emm1**2)/2.0d0 + c = (sm*emm1)**2 + shift = 0.0d0 + if (b .eq. 0.0d0 .and. c .eq. 0.0d0) go to 550 + shift = dsqrt(b**2+c) + if (b .lt. 0.0d0) shift = -shift + shift = c/(b + shift) + 550 continue + f = (sl + sm)*(sl - sm) + shift + g = sl*el +c +c chase zeros. +c + mm1 = m - 1 + do 560 k = l, mm1 + call drotg(f,g,cs,sn) + if (k .ne. l) e(k-1) = f + f = cs*s(k) + sn*e(k) + e(k) = cs*e(k) - sn*s(k) + g = sn*s(k+1) + s(k+1) = cs*s(k+1) + if (wantv) call drot(p,v(1,k),1,v(1,k+1),1,cs,sn) + call drotg(f,g,cs,sn) + s(k) = f + f = cs*e(k) + sn*s(k+1) + s(k+1) = -sn*e(k) + cs*s(k+1) + g = sn*e(k+1) + e(k+1) = cs*e(k+1) + if (wantu .and. k .lt. n) + * call drot(n,u(1,k),1,u(1,k+1),1,cs,sn) + 560 continue + e(m-1) = f + iter = iter + 1 + go to 610 +c +c convergence. +c + 570 continue +c +c make the singular value positive. +c + if (s(l) .ge. 0.0d0) go to 580 + s(l) = -s(l) + if (wantv) call dscal(p,-1.0d0,v(1,l),1) + 580 continue +c +c order the singular value. +c + 590 if (l .eq. mm) go to 600 +c ...exit + if (s(l) .ge. s(l+1)) go to 600 + t = s(l) + s(l) = s(l+1) + s(l+1) = t + if (wantv .and. l .lt. p) + * call dswap(p,v(1,l),1,v(1,l+1),1) + if (wantu .and. l .lt. n) + * call dswap(n,u(1,l),1,u(1,l+1),1) + l = l + 1 + go to 590 + 600 continue + iter = 0 + m = m - 1 + 610 continue + go to 360 + 620 continue + return + end diff --git a/com.oracle.truffle.r.native/src/dtrco.f b/com.oracle.truffle.r.native/src/dtrco.f new file mode 100644 index 0000000000..8f693e6a81 --- /dev/null +++ b/com.oracle.truffle.r.native/src/dtrco.f @@ -0,0 +1,161 @@ + subroutine dtrco(t,ldt,n,rcond,z,job) + integer ldt,n,job + double precision t(ldt,*),z(*) + double precision rcond +c +c dtrco estimates the condition of a double precision triangular +c matrix. +c +c on entry +c +c t double precision(ldt,n) +c t contains the triangular matrix. the zero +c elements of the matrix are not referenced, and +c the corresponding elements of the array can be +c used to store other information. +c +c ldt integer +c ldt is the leading dimension of the array t. +c +c n integer +c n is the order of the system. +c +c job integer +c = 0 t is lower triangular. +c = nonzero t is upper triangular. +c +c on return +c +c rcond double precision +c an estimate of the reciprocal condition of t . +c for the system t*x = b , relative perturbations +c in t and b of size epsilon may cause +c relative perturbations in x of size epsilon/rcond . +c if rcond is so small that the logical expression +c 1.0 + rcond .eq. 1.0 +c is true, then t may be singular to working +c precision. in particular, rcond is zero if +c exact singularity is detected or the estimate +c underflows. +c +c z double precision(n) +c a work vector whose contents are usually unimportant. +c if t is close to a singular matrix, then z is +c an approximate null vector in the sense that +c norm(a*z) = rcond*norm(a)*norm(z) . +c +c linpack. this version dated 08/14/78 . +c cleve moler, university of new mexico, argonne national lab. +c +c subroutines and functions +c +c blas daxpy,dscal,dasum +c fortran dabs,dmax1,dsign +c +c internal variables +c + double precision w,wk,wkm,ek + double precision tnorm,ynorm,s,sm,dasum + integer i1,j,j1,j2,k,kk,l + logical lower +c + lower = job .eq. 0 +c +c compute 1-norm of t +c + tnorm = 0.0d0 + do 10 j = 1, n + l = j + if (lower) l = n + 1 - j + i1 = 1 + if (lower) i1 = j + tnorm = dmax1(tnorm,dasum(l,t(i1,j),1)) + 10 continue +c +c rcond = 1/(norm(t)*(estimate of norm(inverse(t)))) . +c estimate = norm(z)/norm(y) where t*z = y and trans(t)*y = e . +c trans(t) is the transpose of t . +c the components of e are chosen to cause maximum local +c growth in the elements of y . +c the vectors are frequently rescaled to avoid overflow. +c +c solve trans(t)*y = e +c + ek = 1.0d0 + do 20 j = 1, n + z(j) = 0.0d0 + 20 continue + do 100 kk = 1, n + k = kk + if (lower) k = n + 1 - kk + if (z(k) .ne. 0.0d0) ek = dsign(ek,-z(k)) + if (dabs(ek-z(k)) .le. dabs(t(k,k))) go to 30 + s = dabs(t(k,k))/dabs(ek-z(k)) + call dscal(n,s,z,1) + ek = s*ek + 30 continue + wk = ek - z(k) + wkm = -ek - z(k) + s = dabs(wk) + sm = dabs(wkm) + if (t(k,k) .eq. 0.0d0) go to 40 + wk = wk/t(k,k) + wkm = wkm/t(k,k) + go to 50 + 40 continue + wk = 1.0d0 + wkm = 1.0d0 + 50 continue + if (kk .eq. n) go to 90 + j1 = k + 1 + if (lower) j1 = 1 + j2 = n + if (lower) j2 = k - 1 + do 60 j = j1, j2 + sm = sm + dabs(z(j)+wkm*t(k,j)) + z(j) = z(j) + wk*t(k,j) + s = s + dabs(z(j)) + 60 continue + if (s .ge. sm) go to 80 + w = wkm - wk + wk = wkm + do 70 j = j1, j2 + z(j) = z(j) + w*t(k,j) + 70 continue + 80 continue + 90 continue + z(k) = wk + 100 continue + s = 1.0d0/dasum(n,z,1) + call dscal(n,s,z,1) +c + ynorm = 1.0d0 +c +c solve t*z = y +c + do 130 kk = 1, n + k = n + 1 - kk + if (lower) k = kk + if (dabs(z(k)) .le. dabs(t(k,k))) go to 110 + s = dabs(t(k,k))/dabs(z(k)) + call dscal(n,s,z,1) + ynorm = s*ynorm + 110 continue + if (t(k,k) .ne. 0.0d0) z(k) = z(k)/t(k,k) + if (t(k,k) .eq. 0.0d0) z(k) = 1.0d0 + i1 = 1 + if (lower) i1 = k + 1 + if (kk .ge. n) go to 120 + w = -z(k) + call daxpy(n-kk,w,t(i1,k),1,z(i1),1) + 120 continue + 130 continue +c make znorm = 1.0 + s = 1.0d0/dasum(n,z,1) + call dscal(n,s,z,1) + ynorm = s*ynorm +c + if (tnorm .ne. 0.0d0) rcond = ynorm/tnorm + if (tnorm .eq. 0.0d0) rcond = 0.0d0 + return + end diff --git a/com.oracle.truffle.r.native/src/dtrsl.f b/com.oracle.truffle.r.native/src/dtrsl.f new file mode 100644 index 0000000000..b656627dfd --- /dev/null +++ b/com.oracle.truffle.r.native/src/dtrsl.f @@ -0,0 +1,141 @@ +c Triangular Solve dtrsl() +c ---------------- +c solves systems of the form +c +c t * x = b +c or +c trans(t) * x = b +c +c where t is a triangular matrix of order n. here trans(t) +c denotes the transpose of the matrix t. +c +c on entry +c +c t double precision(ldt,n) +c t contains the matrix of the system. the zero +c elements of the matrix are not referenced, and +c the corresponding elements of the array can be +c used to store other information. +c +c ldt integer +c ldt is the leading dimension of the array t. +c +c n integer +c n is the order of the system. +c +c b double precision(n). +c b contains the right hand side of the system. +c +c job integer +c job specifies what kind of system is to be solved. +c if job is +c +c 00 solve t*x=b, t lower triangular, +c 01 solve t*x=b, t upper triangular, +c 10 solve trans(t)*x=b, t lower triangular, +c 11 solve trans(t)*x=b, t upper triangular. +c +c on return +c +c b b contains the solution, if info .eq. 0. +c otherwise b is unaltered. +c +c info integer +c info contains zero if the system is nonsingular. +c otherwise info contains the index of +c the first zero diagonal element of t. +c +c linpack. this version dated 08/14/78 . +c g. w. stewart, university of maryland, argonne national lab. +c +c subroutines and functions +c +c blas: daxpy,ddot +c fortran mod +c + subroutine dtrsl(t,ldt,n,b,job,info) + integer ldt,n,job,info + double precision t(ldt,*),b(*) +c +c internal variables +c + double precision ddot,temp + integer case,j,jj +c +c begin block permitting ...exits to 150 +c +c check for zero diagonal elements. +c + do 10 info = 1, n + if (t(info,info) .eq. 0.0d0) go to 150 +c ......exit + 10 continue + info = 0 +c +c determine the task and go to it. +c + case = 1 + if (mod(job,10) .ne. 0) case = 2 + if (mod(job,100)/10 .ne. 0) case = case + 2 + go to (20,50,80,110), case +c +C Case 1 (job = 00): +c solve t*x=b for t lower triangular +c + 20 continue + b(1) = b(1)/t(1,1) + if (n .ge. 2) then + do 30 j = 2, n + temp = -b(j-1) + call daxpy(n-j+1,temp,t(j,j-1),1,b(j),1) + b(j) = b(j)/t(j,j) + 30 continue + endif + go to 140 +c +C Case 2 (job = 01): +c solve t*x=b for t upper triangular. +c + 50 continue + b(n) = b(n)/t(n,n) + if (n .ge. 2) then + do 60 jj = 2, n + j = n - jj + 1 + temp = -b(j+1) + call daxpy(j,temp,t(1,j+1),1,b(1),1) + b(j) = b(j)/t(j,j) + 60 continue + endif + go to 140 +c +C Case 3 (job = 10): +c solve trans(t)*x=b for t lower triangular. +c + 80 continue + b(n) = b(n)/t(n,n) + if (n .ge. 2) then + do 90 jj = 2, n + j = n - jj + 1 + b(j) = b(j) - ddot(jj-1,t(j+1,j),1,b(j+1),1) + b(j) = b(j)/t(j,j) + 90 continue + endif + go to 140 +c +C Case 4 (job = 11): +c solve trans(t)*x=b for t upper triangular. +c + 110 continue + b(1) = b(1)/t(1,1) + if (n .ge. 2) then + do 120 j = 2, n + b(j) = b(j) - ddot(j-1,t(1,j),1,b(1),1) + b(j) = b(j)/t(j,j) + 120 continue + endif +C + 140 continue +c EXIT: + 150 continue + return + end diff --git a/com.oracle.truffle.r.runtime/src/com/oracle/truffle/r/runtime/ffi/jnr/JNR_RFFIFactory.java b/com.oracle.truffle.r.runtime/src/com/oracle/truffle/r/runtime/ffi/jnr/JNR_RFFIFactory.java index ebaf7a689f..564c7ca42c 100644 --- a/com.oracle.truffle.r.runtime/src/com/oracle/truffle/r/runtime/ffi/jnr/JNR_RFFIFactory.java +++ b/com.oracle.truffle.r.runtime/src/com/oracle/truffle/r/runtime/ffi/jnr/JNR_RFFIFactory.java @@ -396,7 +396,9 @@ public class JNR_RFFIFactory extends RFFIFactory implements RFFI, BaseRFFI, RDer @SlowPath private static Linpack createAndLoadLib() { - return LibraryLoader.create(Linpack.class).load("R"); + // need to load blas lib as Fortran functions in RDerived lib need it + LibraryLoader.create(Linpack.class).load("Rblas"); + return LibraryLoader.create(Linpack.class).load("RDerived"); } static Linpack linpack() { diff --git a/mx.fastr/mx_fastr.py b/mx.fastr/mx_fastr.py index 52ba5c5f96..655c980a9c 100644 --- a/mx.fastr/mx_fastr.py +++ b/mx.fastr/mx_fastr.py @@ -257,7 +257,7 @@ def _bench_harness_body(args, vmArgs): 'shootout.knucleotide', 'shootout.mandelbrot-ascii', 'shootout.nbody', 'shootout.pidigits', 'shootout.regexdna', 'shootout.reversecomplement', 'shootout.spectralnorm', 'b25.bench.prog-1', 'b25.bench.prog-2', 'b25.bench.prog-3', 'b25.bench.prog-4', 'b25.bench.prog-5', - 'b25.bench.matcal-1', 'b25.bench.matcal-2', 'b25.bench.matcal-3', 'b25.bench.matcal-4', + 'b25.bench.matcal-1', 'b25.bench.matcal-2', 'b25.bench.matcal-3', 'b25.bench.matcal-4', 'b25.bench.matcal-5', 'b25.bench.matfunc-1', 'b25.bench.matfunc-2', 'b25.bench.matfunc-3', 'b25.bench.matfunc-4'] if vmArgs: marks = ['--J', vmArgs] + marks -- GitLab