On 24/07/2016 12:09 AM, Etranger wrote:
On Saturday, 23 July 2016 at 11:19:34 UTC, rikki cattermole wrote:
On 23/07/2016 11:05 PM, Etranger wrote:
[snip]

***************** start of code ******************
import std.stdio;
import std.traits;
import std.conv;

struct VecExpression(alias mixins) {
  mixin (mixins);
  VecSum!(typeof(this), VecExpression!(RHS)) opBinary(string op, alias
RHS)(ref VecExpression!(RHS) rhs)
{
  static if (op == "+") return VecSum!(typeof(this),
VecExpression!(RHS))(&this, &rhs);
}
}


mixin template Vec_impl(int n) {
  double[n] elems;

  @disable this();

  this(double[n] e){
    elems=e;
  }

  double opIndex(int i) {
    return elems[i];
  }
}

alias Vec(alias n) = VecExpression!("mixin
Vec_impl!("~to!string(n)~");"); //Vec(int n) does not work

mixin template VecSum_impl(E1, E2) {
  E1 * e1;
  E2 * e2;

  @disable this();

  this(E1 * ee1, E2 * ee2){
    e1=ee1;
    e2=ee2;
  }

  double opIndex(int i) {
    return (*e1)[i]+(*e2)[i];
  }
}

alias VecSum(E1, E2) = VecExpression!("mixin
VecSum_impl!("~fullyQualifiedName!E1~","~fullyQualifiedName!E2~");");

void main()
{
  Vec!(3) v1 = Vec!(3)([5., 2., 3.]), v2 = Vec!(3)([1., 4., 3.]), v3 =
Vec!(3)([3., 2., 1.]);
  auto res = v1+v2;
  for(int i=0; i < 3; ++i){
    writefln("%f + %f = %f", v1[i], v2[i],  res[i]);
  }
  auto res2 = res+v3;
  for(int i=0; i < 3; ++i){
    writefln("%f + %f = %f", res[i], v3[i],  res2[i]);
  }
  writeln(res);
  writeln(res2);

  // VecExpression!(Vec_impl!(3)) ve; // Error: template instance
Vec_impl!3 mixin templates are not regular templates
}

***************** end of code ******************

My questions:

1- Is there a cleaner way to do it ? I had to use struct because I want
every thing to happen at compile time and on the stack (without gc). And
I had to use string mixins because template mixin does not work the way
I tried to use it ( see the error last line).

2- Is there a safer way to do it (without using pointers) ?

3- Do you think I'll hit a wall with this approach ?

4- Do you known any D libs that uses expression template for linear
algebra ?

I thank you in advance for your help and wish you a nice weekend (and
apologize for my bad english) :)

My goodness that code is awful.

I have a fair idea what you are attempting to do here.
So I'm going to point you directly to gl3n. Its meant for game dev so
won't provide you a 100% solution. But it should give you ideas of how
to do it.

https://github.com/Dav1dde/gl3n/blob/master/gl3n/linalg.d#L49

If you have any questions and want somebody to talk with you instead
of write, reply cycle. Please hop on to Freenode #d channel.

Hi and thanks for your quick replay.

A looked to the gl3n code, although the code is clear and clean, it is
not really what I want to do in my example.

The gl3n is eager evaluation. If I write "v = v1+v2+v3;", then it will
create a temporary variable "tmp1=v1+v2;" then a second temp
"tmp2=tmp1+v3;" and finally "v=tmp2;".

what I'm trying to do to use lazy evaluation in order to create only one
tmp that will that will directly hold the result of v1[i]+v2[i]+v3[i].
That concept is then generalized in order to perform more optimization
based on entire expression trees, no just tow operands.

And thanks for the suggestion regarding the channel, I'll try to use it
as soon as I have the time. I feel on advantage of the forum is that it
stays for other people and not just for me.

best regards

If you evaluate it as v = a + b + c instead of v = a + (b + c) you will still have a temporary value. Remember structs are just the values they carry and are basically optimized out. Either way I recommend you not worry about it. Compilers can be smart and dmd is mostly good enough in this department.

If you use dynamic arrays and not fixed sized arrays, they will go into the heap, so be careful with what you do with them. Fixed sized arrays like gl3n does is fairly cheap since it goes on to the stack and in some cases only in registers.

Usually if we solve it on IRC we post the solution that we come up with on the post.

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