Introduction

The ALTREP branch of the R svn repository provides an experimental framework for developing alternate representations of basic R objects. Some examples of intended uses would be to

  • allow vector data to be in a memory-mapped file or distributed;
  • allow compact representation of arithmetic sequences;
  • support adding meta-data to objects;
  • support alternative representations of environments.

The intent is that to the greatest extent possible existing C source code for working with R objects should continue to work, though some modifications of source code might help in taking advantage full advantage of the ALTREP framework.

Basic Design

The basic design organizes alternate representation objects in a set of abstract classes corresponding to the functionality of the different basic R types. The most specific abstract classes correspond to specific R data types, such as INTSXP. Concrete classes specialize one of these specific abstract classes. The hierarchy is fixed as corresponding to the R internals; there is no provision for adding new abstract classes or for a hierarchy of concrete classes. This might be worth exploring in the future.

Classes and Methods

General Objects

The ALTREP class is the most general abstract class. It specifies the methods Duplicate, Coerce, Inspect, and Length. The Length method is included at this level since the R function length is defined for all objects.

The Duplicate method accepts a second argument specifying whether the copy should be deep or shallow. A duplicate method can return a C NULL value to indicate that the object should be duplicated by the default method for its SEXP type.

Similarly, a Coerce method can return a C NULL to indicate that the object should be coerced using the standard protocol for its SEXP type.

Adding an Inspect method is not essential but is useful for debugging.

General Vectors

The ALTVEC class specifies methods common to all concrete vector types. These are Dataptr, Dataptr_or_null, and Extract_subset. These method interfaces are designed to allow code using them to avoid assuming that the full data of a vector is available in memory and is writable.

Extract_subset allows efficient implementations of subsetting operations. These methods can return a C NULL to defer to the standard protocol.

Dataptr takes a second argument indicating whether the pointer returned should allow modification of the data pointed to. For compatibility the DATAPTR function and the REAL, INTEGER, etc, macros defined in terms of DATAPTR will request a writable pointer from an ALTVEC object. Dataptr_or_null returns a const pointer.

Dataptr methods might need to allocate memory; they are currently invoked with GC suspended since DATAPTR previously would not allocate and code will need additional PROTECT calls if GC is to be allowed. Dataptr_or_null methods should not allocate. They should return a valid pointer if this can be done cheaply and without allocation; otherwise the should return a C NULL. This allows code to test whether a pointer is available, use it if it is, and use another approach, such as calling the Elt or Get_region methods if they are not.

Specific Vector Classes

Vector classes for specific element types, such as ALTINTEGER, ALTREAL, or ALTSTRING will implement Elt methods. For atomic types they will also implement Get_region methods for copying a contiguous region of elements to a buffer. This is patterned after the JNI specification. For non-atomic types they will implement Set_elt methods to protect the write barrier. DATAPTR should almost never be used on non-atomic vectors because of the risks to the write barrier.

It may make sense to also support Set_elt and Set_region methods for atomic vectors. It may also be useful to have methods to get and set non-contiguous subsets of values of atomic vector objects.

Changes to Existing Functions

A number of functions have been modified to avoid using DATAPTR and thus possibly allocating or duplicating a large object. The summary functions mean, min, max, sum, and prod have been updated for INTSXP and REALSXP vectors, but not yet for CPLXSXP or LGLSXP vectors. Basic subsetting operations for INTSXP and REALSXP have also been modified in this way, so calls to head and sample, among others, do not force allocation. Many more functions could be modified in this way.

Serialization

A class that wants to handle serializing and unserializing its objects should define Serialized_state and Unserialize methods.

The Serialized_state method should return an SEXP which is serialized in the usual way, along with attributes, the name of the ALTREP class, and the package the class is registered with. Unserializing such and object will locate the corresponding class object and call the Unserialize class method with this class object and the unserialized state state as arguments. The method should return a new object without attributes. The serialized attributes are then unserialized and attached.

The Serialize method can also return a C NULL pointer, in which case the object is serialized in the standard way for its SEXP type.

Package Support

The class creation and registration functions, e.g. R_make_altreal_class, create a class object in an R session corresponding to a specified class name and package name. Within the R session the package C code can create objects using this class object. The initialization function for the package’s shared library should create the classes the package supports and install their methods.

Serialization will record the class name and package name; unserializing will load the package.

Ideally unloading a package shared library should cause methods in the associated classes to be replaced by stubs that signal errors when called. This would require a package to call a cleanup routine in its library’s unload function. This cleanup mechanism has not been implemented yet, so for now packages using this mechanism should not unload their DLLs.

As an illustration of this mechanism, the simplemmap package implements the memory-mapped vectors example described below as a package.

Some Implementation Details

ALTREP objects are allocated as CONS objects and identified by having the altrep bit set in the header. The GC checks for the bit and scans the fields as for a CONS cell. The TAG field holds class information; the CAR and CDR hold SEXP values that are used for instance data; they are considered invisible outside of methods for the specific class.

To allow efficient scalar identification there is also a scalar bit, and the `IS_SCALAR macro is defined as

#define IS_SCALAR(x, t) (((x)->sxpinfo.type == (t)) && (x)->sxpinfo.scalar)

The altrep bit should never be set when the scalar bit is set. It would be possible to increase the size of the type field by one bit and use the highest order bit. That would allow IS_SCALAR to be defined as a single comparison. This doesn’t seem to make a measurable speed difference and complicates the code, but it might be worth revisiting.

With the ALTREP changes operations like DATAPTR, STRING_ELT, and SET_STRING_ELT now might cause allocation. Eventually code should be rewritten to allow for this. For now, GC is suspended in these allocations. Operations REAL_ELT, REAL_GET_RANGE and the like may also allocate, but these are new operations and code written or modified to uses them should take this into account.

There is no specific support for versioning. If a class has to be updated in an incompatible way it would be best to consider it a new class with a new name. An unserialize method for the old class will still need to be supported if serialized objects from the old class are to be loaded.

The data structures associated with the base classes are not visible outside core R, so if a new method is added to one of these classes packages will get the default behavior until they add their own; there is no risk of getting the wrong method or a null pointer exception because of trying to access an incorrect or non-existent method. as a result of such a change.

With STRSXP or (not yet supported) VECSXP objects it is important that the DATAPTR not be used in a way that can violate the write barrier by creating untracked old-to-new references.

The capitalization of method names was chosen to avoid conflicts with remapping for some common names, like length.

Sample Implementations

Compact Integer Vectors

Vectors created by n1:n2 with n1 and n2 both integers, as well as vectors created by seq_along() and seq_len(), can be represented compactly in terms of their start and end values. (The type of the result will be INTSXP or REALSXP, depending on the magnitudes of the end points.) The byte code interpreter in R 3.3.0 uses a representation of this form, but only on the stack; once such a value is stored in a variable it is expanded. The ALTVEC mechanism allows this compact representation to be used more widely, and special handling by the byte code interpreter has been dropped.

One implication is that a loop over a large range of integers that stops early no longer needs to allocate and fill in the full vector: In R-devel:

> system.time(for (i in 1:1e9) break)
   user  system elapsed 
  0.258   1.141   1.400 

In the ALTVEC branch on the other hand,

> system.time(for (i in 1:1e9) break)
   user  system elapsed 
      0       0       0 

As another example, in R-devel on an Ubuntu laptop:

> x <- 1:1e10
Error: cannot allocate vector of size 74.5 Gb

In the ALTREP branch:

> x <- 1:1e10

The .Internal(inspect()) function shows that a compact representation has been used:

> .Internal(inspect(x))
@1aab4c0 14 REALSXP g0c0 [NAM(2)]  1 : 10000000000 (compact)

The mean function has been modified to use the Get_region method when the fill data is not available in memory, so after a call to mean the value of x retains its compact representation:

> system.time(print(mean(x)))
[1] 5e+09
   user  system elapsed 
 38.520   0.008  38.531 
> .Internal(inspect(x))
@1aab4c0 14 REALSXP g1c0 [MARK,NAM(2)]  1 : 10000000000 (compact)

Operations that want to use the data pointer will cause an allocation attempt that might fail. And on macOS, because of the memory over-commit issue, this would probably get R killed.

The compact sequences are marked as not mutable; an assignment will duplicate them as a full vector and modify the duplicate. Serializing a compact sequence serializes the compact representation, even if the vector has been expanded. Compact sequences know they are sorted, so the Is_sorted property returns TRUE. A No_NA property is also defined to return TRUE. These are two examples of attaching meta data to an ALTREP object.

An alternative approach would be to not mark these vectors as immutable but to treat them as generic vectors as soon as the data pointer is requested and the vector is expanded. If a writable data pointer is requested then the expanded data could be modified by an assignment. The Is_sorted and No_NA properties could no longer be assumed to be true, and the object would have to be serialized as a full vector. For the integer case this is supported by uncommenting the line

//#define COMPACT_INTSEQ_MUTABLE

Deferred String Conversions

Conversion of integers or reals to strings is an expensive operation. One place where this happens and the result is rarely needed in its entirety, if at all, is default row labels on design matrices. These are effectively created as

as.character(1 : nrow)

In the ALTREP branch the internal coerce() function has been modified to return a deferred string coercion when asked to coerce an INTSXP or a REALSXP to STRSXP. Initially the resulting object contains only a reference to the original numeric object, along with the scipen option setting in effect at the time the deferred coercion object is created. If elements are requested individually these are converted on request and saved . If the data pointer is requested, then the full vector is converted and the reference to the original data is dropped.

Some simple examples:

> x <- 1:1000
> y <- as.character(x)
> .Internal(inspect(y))
@2802830 16 STRSXP g0c0 [NAM(1)]   <deferred string conversion>
  @25114c0 13 INTSXP g0c0 [NAM(2)]  1 : 1000 (compact)
> head(x)
[1] 1 2 3 4 5 6
> y[1] <- "a"
> .Internal(inspect(y))
@2802830 16 STRSXP g0c0 [NAM(1)]   <expanded string conversion>
  @331a690 16 STRSXP g0c7 [] (len=1000, tl=0)
    @1d2d388 09 CHARSXP g0c1 [MARK,gp=0x61] [ASCII] [cached] "a"
    @2696ac8 09 CHARSXP g0c1 [MARK,gp=0x60] [ASCII] [cached] "2"
    @1d16038 09 CHARSXP g0c1 [MARK,gp=0x60] [ASCII] [cached] "3"
    @26a36e8 09 CHARSXP g0c1 [MARK,gp=0x60] [ASCII] [cached] "4"
    @2a57148 09 CHARSXP g0c1 [gp=0x60] [ASCII] [cached] "5"
    ...

A major benefit is a significant speedup in lm() for fitting a model with many cases. In R-devel, in a fresh R session:

> n <- 10000000
> x <- rnorm(n)
> y <- rnorm(n)
> system.time(lm(y ~ x))
   user  system elapsed 
 17.927   0.982  18.911 
> system.time(lm(y ~ x))
   user  system elapsed 
  9.225   0.703   9.929 

In the ALTREP branch:

> n <- 10000000
> x <- rnorm(n)
> y <- rnorm(n)
> system.time(lm(y ~ x))
   user  system elapsed 
  1.989   0.601   2.590 
> system.time(lm(y ~ x))
   user  system elapsed 
  1.886   0.610   2.496 

The speedup is due entirely to not creating the row labels for the design matrix.

Avoiding the cost of allocating default row labels in glm() requires an additional modification. The glm() computation takes subsets of rows with positive weights, and with the changes described so far these subsetting operations would trigger creating the row labels. To avoid this, the ALTREP branch allows vector classes to provide their own ExtractSubset methods. For deferred strings, this method creates a new deferred string applied to the subsetted original data; the conversion only takes place if the labels are used, which they are not in glm(). In R-devel, in a fresh R session:

> n <- 10000000
> x <- rnorm(n)
> y <- rnorm(n)
> system.time(glm(y ~ x))
   user  system elapsed 
 29.616   4.524  34.153 
> system.time(glm(y ~ x))
   user  system elapsed 
 17.464   2.536  20.012 

In the ALTREP branch:

> n <- 10000000
> x <- rnorm(n)
> y <- rnorm(n)
> system.time(glm(y ~ x))
   user  system elapsed 
  7.796   3.340  11.139 
> system.time(glm(y ~ x))
   user  system elapsed 
  7.544   2.924  10.471 

As another example, in a recent R-help thread with subject "Faster Subsetting" Martin Morgan showed that in R-devel reordering row names on a data frame can affect performance of a split operation:

> tmp <- data.frame(id = rep(1:20000, each = 10), foo = rnorm(200000))
> idList <- unique(tmp$id)
> system.time(split(tmp, tmp$id))
   user  system elapsed
  5.316   0.112   5.429 
> row.names(tmp) = rev(seq_len(nrow(tmp)))
> system.time(split(tmp, tmp$id))
   user  system elapsed
  1.012   0.008   1.020 

In the ALTREP branch:

> tmp <- data.frame(id = rep(1:20000, each = 10), foo = rnorm(200000))
> idList <- unique(tmp$id)
> system.time(split(tmp, tmp$id))
   user  system elapsed 
  1.024   0.016   1.039 
> row.names(tmp) = rev(seq_len(nrow(tmp)))
> system.time(split(tmp, tmp$id))
   user  system elapsed 
  0.936   0.004   0.940 

Again the difference is due primarily to deferring the string coercions.

Serialization serializes the deferred string data if the object has not been fully converted. This is safe since assignments currently filly convert the object. It would be possible to allow assignment to operate without full expansion; serialization would then need to be modified to also serialize the modified partially expanded data.

The argument to the deferred coercion function is marked as not mutable to make sure it isn’t changed after capture. This would not be needed under reference counting.

The Is_sorted property is deferred to the original argument if the deferred string has not been fully expanded. If it has been fully expanded, then the data might have been modified, so Is_sorted returns zero.

Memory-Mapped Vectors

The ALTREP branch includes a simple implementation of integer and double vectors with their data in memory mapped files. The branch includes two .Internal functions which are best accessed through these simple wrappers:

mmap <- function(filename, type = c("double", "integer", "int"),
                 ptrOK = TRUE, wrtOK = FALSE, serOK = TRUE) {
    type = match.arg(type)
    .Internal(mmap_file(filename, type, ptrOK, wrtOK, serOK))
}

munmap <- function(x)
    .Internal(munmap_file(x))

To illustrate the package support framework the memory mapped file interface is also available in the simplemmap package.

To set up an example, create a binary file with 1000 uniform random numbers:

set.seed(1234)
x <- runif(1000)
writeBin(x, "foo.dat")

The mmap function requires one argument, a file name. The data type can be specified by a second argument, which defaults to "double". For now the supported element types are "integer" and "double". Some examples:

> y <- mmap("foo.dat")
> str(y)
 num [1:1000] 0.114 0.622 0.609 0.623 0.861 ...
> head(y)
[1] 0.1137034 0.6222994 0.6092747 0.6233794 0.8609154 0.6403106
> sample(y, 4)
[1] 0.5058416 0.6042504 0.4792225 0.1274334
> mean(y)
[1] 0.5072735
> head(y + 1)
[1] 1.113703 1.622299 1.609275 1.623379 1.860915 1.640311

Computing y+1 produces a standard R vector the same length as y. For a large memory-mapped file this may not be desirable. The optional argument ptrOK can be given as FALSE as a means of preventing operations that directly access the pointer. Operations that have been modified to avoid accessing a pointer to the full data will succeed, but ones that need full data access will fail:

> z <- mmap("foo.dat", ptrOK = FALSE)
> sample(z, 4)
[1] 0.2016572 0.7615122 0.7133016 0.2011326
> mean(z)
[1] 0.5072735
> z + 1
Error: cannot access data pointer for this mmaped vector

This is not a particularly good approach to the problem of unintended allocation, but there are other situations in which a pointer to the full data might not be available.

When the wrtOK argument is FALSE, the default, the file is opened read-only and memory mapped region is marked as read-only. This is enforced at the R level by marking the object returned by mmap as not mutable. Thus an assignment will duplicate first, (which might attempt to allocate a very large vector). C code that attempts to write in this memory will cause a segmentation fault.

If wrtOK is TRUE then the object returned by mmap is not marked as immutable (though it might be later if, for example, it is assigned to a second variable). If the memory mapped object is not shared, then an assignment will not duplicate the object and the assignment will modify the file:

> z <- mmap("foo.dat", wrtOK = TRUE)
> readBin("foo.dat", "double", 4)
[1] 0.1137034 0.6222994 0.6092747 0.6233794
> z[1] <- 0
> readBin("foo.dat", "double", 4)
[1] 0.0000000 0.6222994 0.6092747 0.6233794

If the serOK argument is TRUE, the default, then serializing a memory mapped object will serialize the information passed to the mmap function, including the file name as it was passed. When unserializing, an attempt will be made to memory map a file by that name, which might not be available. If unserialize cannot map the file then it returns a zero-length vector of the same type. If serOK is FALSE then the object will be serialized as a standard vector, which might result in a very large serialization.

Wrapper Objects

Vector wrapper objects provide a place to record meta-information such as whether a vector is sorted or has no NAs, and can also hold attributes and allow attributes to be changed without requiring duplication of the vector data payload.

Wrappers would in principle also be useful for environments to allow attributes on environments to behave in a way more consistent with R’s conceptual pass by value semantics. But this would require more extensive internal code changes because of the heavy use of pointer identity in environment computations.

Wrappers for integer and real vectors are produced by a .Internal function that is best accessed through the wrapper

wrapper <- function(x, srt = 0, nna = 0) .Internal(wrap_meta(x, srt, nna))

A call to shallow_duplicate for a wrapper object will mark the payload as immutable; the payload will be duplicated when a writable data pointer is requested.

If the srt argument to wrapper is 0 or the nna argument is FALSE then the default methods for accessing these values delegate to the corresponding methods for the payload object.

Attributes

For now the object to be wrapped must not contain any attributes; this could easily be remedied by copying or possibly moving any attributes to the wrapper object.

The expressions

> x <- wrapper(c(1, 2, 3))
> y <- x
> attr(y, "foo") <- "stuff"

result in duplicating and modifying the wrapper object value of y, but the payload is not duplicated and is shared by the values of x and y:

> .Internal(inspect(x))
@3299280 14 REALSXP g0c0 [NAM(2)]  wrapper [srt=0,no_na=0]
  @3288b98 14 REALSXP g0c3 [NAM(2)] (len=3, tl=0) 1,2,3
> .Internal(inspect(y))
@3298c60 14 REALSXP g0c0 [NAM(1),ATT]  wrapper [srt=0,no_na=0]
  @3288b98 14 REALSXP g0c3 [NAM(2)] (len=3, tl=0) 1,2,3
ATTRIB:
  @333c6e8 02 LISTSXP g0c0 [] 
    TAG: @2189008 01 SYMSXP g0c0 [MARK] "foo"
    @3289948 16 STRSXP g0c1 [NAM(2)] (len=1, tl=0)
      @32899f0 09 CHARSXP g0c1 [gp=0x60] [ASCII] [cached] "stuff"

An assignment to an element of y does result in duplicating the data payload:

> x <- c(1, 2, 3)
> y <- wrapper(x)
> y[1] <- 5
> y
[1] 5 2 3
> x
[1] 1 2 3
> .Internal(inspect(y))
@3298c60 14 REALSXP g0c0 [NAM(1),ATT]  wrapper [srt=0,no_na=0]
  @32889b8 14 REALSXP g0c3 [] (len=3, tl=0) 5,2,3
ATTRIB:
  @333c6e8 02 LISTSXP g0c0 [] 
    TAG: @2189008 01 SYMSXP g0c0 [MARK] "foo"
    @3289948 16 STRSXP g0c1 [NAM(2)] (len=1, tl=0)
      @32899f0 09 CHARSXP g0c1 [gp=0x60] [ASCII] [cached] "stuff"

Attribute wrapping can be used to define a version of structure that does not copy payload:

struct <- function(.Data, ...) structure(wrapper(.Data), ...)

Meta Data

We can create an increasing sequence and use a wrapper marking it as increasing and having no NAs:

> x <- wrapper(c(1, 2, 3, 4, 5), 1, TRUE)
> .Internal(inspect(x))
@2c54158 14 REALSXP g0c0 [NAM(1)]  wrapper [srt=1,no_na=1]
  @351d128 14 REALSXP g0c4 [NAM(2)] (len=5, tl=0) 1,2,3,4,5

Operations that do not access a writable data pointer leave the meta data intact. For example,

> head(x)
[1] 1 2 3 4 5
> .Internal(inspect(x))
@2c54158 14 REALSXP g0c0 [NAM(2)]  wrapper [srt=1,no_na=1]
  @351d128 14 REALSXP g0c4 [NAM(2)] (len=5, tl=0) 1,2,3,4,5

The wrapper function is a closure and therefore its argument is marked as referenced and the payload of the wrapper is then marked as immutable. Since print still requests a writable pointer printing the object results in duplicating the payload and clears the meta data:

> x
[1] 1 2 3 4 5
> .Internal(inspect(x))
@2c54158 14 REALSXP g0c0 [NAM(2)]  wrapper [srt=0,no_na=0]
  @351c9b8 14 REALSXP g0c4 [] (len=5, tl=0) 1,2,3,4,5

Alternatives and Variations

Not inlining REAL_ELT for compact sequences incurs a penalty of about 1-10% in a simple loop. An alternative would be to not inline in general but special-case handing of compact sequences in for() and STEPFOR, as previously done in the byte code engine. This could be added even with inlining.

One option would be to give all objects a dispatch table and use this for handling basic operations like length. This does work, but the performance hit resulting from the additional function calls seems a bit high. It does simplify code considerably though.

Open Issues

Unintended Allocations

A major goal of this mechanism is to allow R to deal cleanly with subsets of large data objects. But some operations might attempt to allocate large vectors and create problems. For example, if the value of x is a sequence 1 : n for a very large n, or a reference to a memory-mapped file that allows access to the DATAPTR, then computations like

x + 1
log(x)

will attempt to allocate large result vectors, which may cause problems.

Not allowing DATAPTR access is one solution, but may be too drastic. A better approach would be to have a threshold such that allocations below the threshold succeed, while allocations beyond the threshold raise some form of continuable error that can allows the opportunity to adjust the threshold. The Common Lisp cerror mechanism, or something similar, may be useful.

When the value of x is a large sequence, then evaluating log(x) creates two separate issues: First, accessing the DATAPTR results in an attempt to allocate the full sequence. Then a result of the same length is allocated. Rewriting more code to not use the DATAPTR unless it is available will alleviate the first, but not the second. If the result of the second computation is used in a reduction, or if only a subset is used, then deferring evaluation and pushing the subset operation into the deferred evaluation can alleviate the second issue.

Memory Mapping Issues

The serialization issues associated with memory-mapped files have already been mentioned. Another issue is that the file data may not be in the form that matches the R internal types double or int. An integer file might contain one, two, four, or eight byte integers; a floating point file might contain float or double values. Only double and int would be compatible with providing R with a DATAPTR. The others could be handled by Elt and Get_region methods for operations that do not require the DATAPTR.

Length and Address Validity

For standard Robjects results returned by the length and DATAPTR functions remain valid until the object is reclaimed by the memory manager. Should this be required of ALTREP objects as well? It may have to be as code may be relying on this assumption.

But one option that would be useful is an array that can grow or shrink, along the lines of Common Lisp arrays with fill pointers. Can this be supported in a reasonably sane way?

Deferred Evaluation Issues

One issue to keep in mind when deferring computations is that this may also defer signaling of errors and warnings. Ideally it would be best to check inputs before deferral and only defer when no warnings or errors are possible. For deferred strings, the conversions as such will not result in any warnings or errors. However, an out of memory error could occur at the time the deferred computation is performed. This seems something we would have to live with if computations are deferred.

There might be some useful ideas in the Haskell literature on handing errors in a non-strict language. The Haskell work on profiling may also be relevant as it attempts to attribute costs of deferred computations to the point they were requested.

Meta Data Issues

Wrappers could be used to hold other meta data and possibly for memoizing calls to summaries like sum or max.

It would be possible to have the vector allocation function always return a wrapped vector for allocations above a specified size.

Should a vector being sorted imply no NA values? Are there other relations among meta data that should be maintained?

One possibility would be to provide methods for setting meta data. This might be useful in some situations but also seems very dangerous.

Other Notes

  • Use the ALTREP mechanism to allow alternate implementations of environments. This will require a significant rewriting and refactoring of the code in envir.c, as well as a few other places that the internals of environments have leaked into, but it should be well worth while. Moving the user database code out of the main section should help make both that code and the base code more maintainable. Allowing alternate implementations will also give more options for compiled code.

  • Add SET_REAL_ELT and similar functions to allow writes without requiring DATAPTR access.

  • A more general deferred computation mechanism. The deferred string conversions could be a special case of such a more general mechanism.

  • If we got rid of the ALTVEC layer (just Dataptr, and Dataptr_or_null and Extract_subset for now) then we could define all concrete methods for R_altreal_t and such to get some degree of static type checking. This would be awkward if not impossible if the had to define some things for R_altvec_t since C has no sub-typing options.

  • Attaching meta data at the ALTVEC level would make some things simpler. Some downsides:
    • Things like Is_sorted do not make sense for all vector types.
    • Adding static type checking would be more difficult if not impossible.
    • Dynamic type checking would be expensive unless we use a header bit for flagging objects as vectors.