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My Boat

While certainly many details on this site will be relevant to any variety of Apple 16, some may not, so it’s important to highlight the boat I’m building:

  1. 4 plank per side “Apple AHL” as it’s described in some of Tom’s pages, rather than the 5 plank “Swedish Apple” (or the gaff cutter – which doesn’t describe the hull, but rather what goes above!). The 5 plank Apple requires 6 sheets of ply for planks, rather than 4 sheets for the 4 plank Apple: given that the marine ply I’m using (Occume) is tropical hardwood, minimizing it is a no brainer (I’m sure I would use off-cuts in the 5 plank version). I was also just amazed by the way that Tom nested the planks into the sheets, and how that turned into such a beautiful 3D shape – often the planks would be less than an inch from each other in multiple places.
  2. -
  3. Single rig, with a small mizzen. This is shown in the picture above. The plans account for a larger mizzen “light-air” rig, and corresponding multiple daggerboard positions – something I did not want to deal with!
  4. +
  5. Single (large) rig, with a small mizzen. This is shown in the picture above. The plans account for a larger mizzen “light-air” rig, and corresponding multiple daggerboard positions – something I did not want to deal with!
  6. Pivoting centerboard, rather than a daggerboard. The design in the plans calls for a long daggerboard case to accommodate the two rig options, so the centerboard case doesn’t actually take up more room in the boat. While it isn’t in the plan set (or at least, wasn’t when I bought them), when I asked Tom about a centerboard he sent me CAD drawings he had made based on old sketches (for two different options), so I didn’t actually have to do any designing: his design, conveniently, had the same slot size in the hull.
  7. An enclosed rear tank seat (technically, two rear tanks, with an open channel for the mizzen step to drain), enclosed bow tank, open rear side seats and mid-ship thwart, but no seats forward of the middle of the boat. Related to this—
  8. Floorboards! Sitting on the floor of the boat seems nice for children and dogs, both of which I have – especially forward of the middle thwart, the hull starts to get steep, so sitting without thwarts requires floorboards. Also, that way you don’t have to sit in bilge water!
  9. @@ -66,9 +66,9 @@

    My Boat

    Materials

    diff --git a/_site/apple/building.html b/_site/apple/building.html index 93e3a04..7d0ffb7 100644 --- a/_site/apple/building.html +++ b/_site/apple/building.html @@ -100,7 +100,7 @@

    Sections

    Taking Care

    -I built proper cradles for the boat way later than I should (after dropping the boat on the concrete floor). Probably, you should do a rough version for stitching the hull, and then once you flip back over (after taping the outside seams), you should build something like the following. If you prop the hull using sticks clamped to the gunwales, you can then put scraps of wood supporting the lower panels and mark on the saw horses where they should attach. Then lift the boat up (prop it on something), screw the pieces in, add some padding (carpet is probably better), and lower the boat back down. Then, adding support pieces up to the next panel is pretty easy to do in-place.
    I built proper cradles for the boat way later than I should (after dropping the boat on the concrete floor). Probably, you should do a rough version for stitching the hull, and then once you flip back over (after taping the outside seams), you should build something like the following. If you prop the hull using sticks clamped to the gunwales, you can then put scraps of wood supporting the lower panels and mark on the saw horses where they should attach. Then lift the boat up (prop it on something), screw the pieces in, add some padding (carpet is probably better), and lower the boat back down. Then, adding support pieces up to the next panel is pretty easy to do in-place.
    +I built proper cradles for the boat way later than I should (after dropping the boat on the concrete floor). Probably, you should do a rough version for stitching the hull, and then once you flip back over (after taping the outside seams), you should build something like the following. If you prop the hull using sticks clamped to the gunwales, you can then put scraps of wood supporting the lower panels and mark on the saw horses where they should attach. Then lift the boat up (prop it on something), screw the pieces in, add some padding (carpet is probably better), and lower the boat back down. Then, adding support pieces up to the next panel is pretty easy to do in-place.

    Tools

    There are countless tools that you might use in a project like this, but a few that I don’t think are avoidable (i.e., if you don’t have access to, you should borrow / buy):

    @@ -140,7 +140,7 @@

    Tools

    Clamps. Lots! -You’ll need the most when doing the gunwales, where cheap spring clamps (the bigger 2" ones) will mostly work, though once you are doing the last layer, they won’t quite fit, so having at least 15 or more regular clamps will be critical. If you were starting from scratch, 6" or 8" F clamps would probably be the most useful for the build. +You’ll need the most when doing the gunwales, where cheap spring clamps (the bigger 2" ones) will mostly work, though once you are doing the last layer, they won’t quite fit, so having at least 15 or more regular clamps will be critical. If you were starting from scratch, 6" or 8" F clamps would probably be the most useful for the build. @@ -161,7 +161,7 @@

    Tools

    Oscillating multi-tool -I mostly use this as a small power sander that can get into places that a normal 5" random orbital can’t, but the surprising use was actually the flush cutting, which I’ve used exclusively to un-epoxy things that I accidentally glued together. Unlike using heat, this doesn’t harm any epoxy underneath (like when I didn’t anticipate epoxy running down the centerline and gluing a random panel that was laying on it, and I was able to cut it off without damaging the glass tape). A more careful craftsperson may never need this, but that I am not. +I mostly use this as a small power sander that can get into places that a normal 5" random orbital can’t, but the surprising use was actually the flush cutting, which I’ve used exclusively to un-epoxy things that I accidentally glued together. Unlike using heat, this doesn’t harm any epoxy underneath (like when I didn’t anticipate epoxy running down the centerline and gluing a random panel that was laying on it, and I was able to cut it off without damaging the glass tape). A more careful craftsperson may never need this, but that I am not. diff --git a/_site/apple/building/bowtank.html b/_site/apple/building/bowtank.html index 16da2dd..1fc817b 100644 --- a/_site/apple/building/bowtank.html +++ b/_site/apple/building/bowtank.html @@ -81,49 +81,49 @@

    Photos of building sequence, wit
    -As mentioned above, and in the Boat section, I decided to use the mast partner design that is on some of Iain Oughtred’s designs. I like the open front, as it allows the mast to be put into the step and then pushed up, rather than needing to slide it into the partner from above. This photo shows the full arrangement dry-fit; the key is that the piece at the bottom left will slide it (and have tension from below with shock cord), rather than being permanently attached.
    As mentioned above, and in the Boat section, I decided to use the mast partner design that is on some of Iain Oughtred’s designs. I like the open front, as it allows the mast to be put into the step and then pushed up, rather than needing to slide it into the partner from above. This photo shows the full arrangement dry-fit; the key is that the piece at the bottom left will slide it (and have tension from below with shock cord), rather than being permanently attached.
    +As mentioned above, and in the Boat section, I decided to use the mast partner design that is on some of Iain Oughtred’s designs. I like the open front, as it allows the mast to be put into the step and then pushed up, rather than needing to slide it into the partner from above. This photo shows the full arrangement dry-fit; the key is that the piece at the bottom left will slide it (and have tension from below with shock cord), rather than being permanently attached.
    -Not visibly in the above photo is a knee that I added, matching the knee in the plans, though I made mine out of douglas fir instead of plywood
    Not visibly in the above photo is a knee that I added, matching the knee in the plans, though I made mine out of douglas fir instead of plywood
    +Not visibly in the above photo is a knee that I added, matching the knee in the plans, though I made mine out of douglas fir instead of plywood
    -I made the tank top patterns out of cardboard, scribing with a compass a fixed distance from the hull, cutting, and then repeating. Since the other side of the hull gets in the way (you can’t start with a big enough piece of cardboard), this had to be done with small pieces of cardboard and then taped together. This gets plenty of accuracy, especially given that the edges are going to be hidden with a fillet eventually anyway
    I made the tank top patterns out of cardboard, scribing with a compass a fixed distance from the hull, cutting, and then repeating. Since the other side of the hull gets in the way (you can’t start with a big enough piece of cardboard), this had to be done with small pieces of cardboard and then taped together. This gets plenty of accuracy, especially given that the edges are going to be hidden with a fillet eventually anyway
    +I made the tank top patterns out of cardboard, scribing with a compass a fixed distance from the hull, cutting, and then repeating. Since the other side of the hull gets in the way (you can’t start with a big enough piece of cardboard), this had to be done with small pieces of cardboard and then taped together. This gets plenty of accuracy, especially given that the edges are going to be hidden with a fillet eventually anyway
    -I cut a hole for a hatch on one side, and added reinforcements. To save ply, I cut four separate pieces for the reinforcements, as then they could come out of much smaller pieces of ply vs. if I tried to get a single one (also, easier to cut on the bandsaw without having the middle of a circle to cut out). I made a plywood template for this quarter hatch ring, which I re-used on the stern tank hatches. The hatches themselves are single piece Armstrong; there is an arm that goes on the inside and screwing the hatch closed pulls the arm against the ring, putting pressure on the hatch and the ring around the hatch. Not only should these be actually water-tight, it’s neat that they don’t have anything permanently installed on the boat, so I can “install” 3 of them when I only have one in hand (before hitting the water, I should get the rest!)
    I cut a hole for a hatch on one side, and added reinforcements. To save ply, I cut four separate pieces for the reinforcements, as then they could come out of much smaller pieces of ply vs. if I tried to get a single one (also, easier to cut on the bandsaw without having the middle of a circle to cut out). I made a plywood template for this quarter hatch ring, which I re-used on the stern tank hatches. The hatches themselves are single piece Armstrong; there is an arm that goes on the inside and screwing the hatch closed pulls the arm against the ring, putting pressure on the hatch and the ring around the hatch. Not only should these be actually water-tight, it’s neat that they don’t have anything permanently installed on the boat, so I can “install” 3 of them when I only have one in hand (before hitting the water, I should get the rest!)
    +I cut a hole for a hatch on one side, and added reinforcements. To save ply, I cut four separate pieces for the reinforcements, as then they could come out of much smaller pieces of ply vs. if I tried to get a single one (also, easier to cut on the bandsaw without having the middle of a circle to cut out). I made a plywood template for this quarter hatch ring, which I re-used on the stern tank hatches. The hatches themselves are single piece Armstrong; there is an arm that goes on the inside and screwing the hatch closed pulls the arm against the ring, putting pressure on the hatch and the ring around the hatch. Not only should these be actually water-tight, it’s neat that they don’t have anything permanently installed on the boat, so I can “install” 3 of them when I only have one in hand (before hitting the water, I should get the rest!)
    -After three coats of epoxy, I put on two coats System 3 epoxy primer (shown here)
    After three coats of epoxy, I put on two coats System 3 epoxy primer (shown here)
    +After three coats of epoxy, I put on two coats System 3 epoxy primer (shown here)
    -And 3-4 coats of paint (3 was plenty on the underside of the tank tops, which were smooth; I didn’t do the best job smoothing out the inside of the tanks, so it took 4 coats to really get the color uniform). Painting the underside of the king plank was a total pain – probably, I should have just not bothered (it really didn’t matter; it was epoxy sealed, and the only reason I was painting the tanks at all was to make it easier to see inside them, which means the primer would probably have been plenty). The mirror helped, but still! If I did it again, I would have painted it outside the boat, like I did the tank tops, and then sanded it all the way back to wood where the joints would be, to ensure a strong bond (being worried about the joint was the reason I put it in after epoxy sealing it).
    And 3-4 coats of paint (3 was plenty on the underside of the tank tops, which were smooth; I didn’t do the best job smoothing out the inside of the tanks, so it took 4 coats to really get the color uniform). Painting the underside of the king plank was a total pain – probably, I should have just not bothered (it really didn’t matter; it was epoxy sealed, and the only reason I was painting the tanks at all was to make it easier to see inside them, which means the primer would probably have been plenty). The mirror helped, but still! If I did it again, I would have painted it outside the boat, like I did the tank tops, and then sanded it all the way back to wood where the joints would be, to ensure a strong bond (being worried about the joint was the reason I put it in after epoxy sealing it).
    +And 3-4 coats of paint (3 was plenty on the underside of the tank tops, which were smooth; I didn’t do the best job smoothing out the inside of the tanks, so it took 4 coats to really get the color uniform). Painting the underside of the king plank was a total pain – probably, I should have just not bothered (it really didn’t matter; it was epoxy sealed, and the only reason I was painting the tanks at all was to make it easier to see inside them, which means the primer would probably have been plenty). The mirror helped, but still! If I did it again, I would have painted it outside the boat, like I did the tank tops, and then sanded it all the way back to wood where the joints would be, to ensure a strong bond (being worried about the joint was the reason I put it in after epoxy sealing it).
    -I added lots of weights to hold everything together after glueing, but honestly, the few screws I put in did a lot better job; I should probably have just stuck to them.
    I added lots of weights to hold everything together after glueing, but honestly, the few screws I put in did a lot better job; I should probably have just stuck to them.
    +I added lots of weights to hold everything together after glueing, but honestly, the few screws I put in did a lot better job; I should probably have just stuck to them.
    -Then, once everything was dry, some clean up, some fillets on the top, and the tank is essentially done for now
    Then, once everything was dry, some clean up, some fillets on the top, and the tank is essentially done for now
    +Then, once everything was dry, some clean up, some fillets on the top, and the tank is essentially done for now
    diff --git a/_site/apple/building/gunwales.html b/_site/apple/building/gunwales.html index 1420f28..eb61865 100644 --- a/_site/apple/building/gunwales.html +++ b/_site/apple/building/gunwales.html @@ -84,13 +84,13 @@

    Photos of building sequence, wit
    -After finishing spot filleting and taping between the wires, it’s time to put on the gunwales. I made a bit of a mistake here, getting some too brittle douglas fir that just kept cracking. I’m sure if I could steam it, or perhaps it wasn’t as cold in my shop, or any number of other options, but I ended up eventually giving up and doing layers of eastern white pine capped by outer layers of african mahogany (khaya). As part of my experimenting, I kept making thinner strips, and ended up doing that with the pine/khaya as well, though I’m sure that was unnecessary (the pine, at least, was very bendy). I also didn’t make the strips quite long enough, hence the gap in the front, but eventually cut a piece of khaya to fit
    After finishing spot filleting and taping between the wires, it’s time to put on the gunwales. I made a bit of a mistake here, getting some too brittle douglas fir that just kept cracking. I’m sure if I could steam it, or perhaps it wasn’t as cold in my shop, or any number of other options, but I ended up eventually giving up and doing layers of eastern white pine capped by outer layers of african mahogany (khaya). As part of my experimenting, I kept making thinner strips, and ended up doing that with the pine/khaya as well, though I’m sure that was unnecessary (the pine, at least, was very bendy). I also didn’t make the strips quite long enough, hence the gap in the front, but eventually cut a piece of khaya to fit
    +After finishing spot filleting and taping between the wires, it’s time to put on the gunwales. I made a bit of a mistake here, getting some too brittle douglas fir that just kept cracking. I’m sure if I could steam it, or perhaps it wasn’t as cold in my shop, or any number of other options, but I ended up eventually giving up and doing layers of eastern white pine capped by outer layers of african mahogany (khaya). As part of my experimenting, I kept making thinner strips, and ended up doing that with the pine/khaya as well, though I’m sure that was unnecessary (the pine, at least, was very bendy). I also didn’t make the strips quite long enough, hence the gap in the front, but eventually cut a piece of khaya to fit
    -And then the final step before flipping: the quarter knees. I cut slots to fit the inwales, but realized later that the inwales will slant up at the end (since the hull is not plumb at the transom, but sloping out), so if you want them to smoothly transition into the quarter knees, the quarter knees should really go with the curved transom, rather than flat, and have the quarter knees match the angle that the inwale will have. But it’s nothing I’m losing sleep over – structurally, they are sound (probably oversized, but they are nice hand-holds).
    And then the final step before flipping: the quarter knees. I cut slots to fit the inwales, but realized later that the inwales will slant up at the end (since the hull is not plumb at the transom, but sloping out), so if you want them to smoothly transition into the quarter knees, the quarter knees should really go with the curved transom, rather than flat, and have the quarter knees match the angle that the inwale will have. But it’s nothing I’m losing sleep over – structurally, they are sound (probably oversized, but they are nice hand-holds).
    +And then the final step before flipping: the quarter knees. I cut slots to fit the inwales, but realized later that the inwales will slant up at the end (since the hull is not plumb at the transom, but sloping out), so if you want them to smoothly transition into the quarter knees, the quarter knees should really go with the curved transom, rather than flat, and have the quarter knees match the angle that the inwale will have. But it’s nothing I’m losing sleep over – structurally, they are sound (probably oversized, but they are nice hand-holds).
    diff --git a/_site/apple/building/hull.html b/_site/apple/building/hull.html index 5f0d717..d0ac9cb 100644 --- a/_site/apple/building/hull.html +++ b/_site/apple/building/hull.html @@ -77,68 +77,68 @@

    Sections

    Building the hull is pretty straightforward – while it certainly takes some time, once you get the strakes cut out, it goes together very quickly.

    Important Notes (!!! READ THESE EVEN IF YOU IGNORE THE REST !!!)

    Photos of building sequence, with notes

    -I did glass butt joints and it worked out well; not only is it easier than scarfing, it gains extra length on the sheets, which I was worried about because I didn’t want to have to have the missing triangle at the front of the top strake; as it turned out, due to having european 2500mm plywood, it would have been fine scarfed
    I did glass butt joints and it worked out well; not only is it easier than scarfing, it gains extra length on the sheets, which I was worried about because I didn’t want to have to have the missing triangle at the front of the top strake; as it turned out, due to having european 2500mm plywood, it would have been fine scarfed
    +I did glass butt joints and it worked out well; not only is it easier than scarfing, it gains extra length on the sheets, which I was worried about because I didn’t want to have to have the missing triangle at the front of the top strake; as it turned out, due to having european 2500mm plywood, it would have been fine scarfed
    -I cut all the panels with a 6.5" circular saw with a 60T blade, with one scarfed sheet clamped on the other. This could easily handle the curves, and I generally kept very close to the line to minimize the planing that would be necessary later. The hand saw was for the few places where the plywood flexed and so the saw didn’t fully cut the bottom sheet
    I cut all the panels with a 6.5" circular saw with a 60T blade, with one scarfed sheet clamped on the other. This could easily handle the curves, and I generally kept very close to the line to minimize the planing that would be necessary later. The hand saw was for the few places where the plywood flexed and so the saw didn’t fully cut the bottom sheet
    +I cut all the panels with a 6.5" circular saw with a 60T blade, with one scarfed sheet clamped on the other. This could easily handle the curves, and I generally kept very close to the line to minimize the planing that would be necessary later. The hand saw was for the few places where the plywood flexed and so the saw didn’t fully cut the bottom sheet
    -Unsurprisingly, I used too much epoxy for the butt joints, but better too much than too little. The combination of heat gun and scraper worked pretty well (only one slight scorch in one spot, on all the strakes), though I was careful to not heat up the epoxy that was in the glass as I didn’t want to weaken it.
    Unsurprisingly, I used too much epoxy for the butt joints, but better too much than too little. The combination of heat gun and scraper worked pretty well (only one slight scorch in one spot, on all the strakes), though I was careful to not heat up the epoxy that was in the glass as I didn’t want to weaken it.
    +Unsurprisingly, I used too much epoxy for the butt joints, but better too much than too little. The combination of heat gun and scraper worked pretty well (only one slight scorch in one spot, on all the strakes), though I was careful to not heat up the epoxy that was in the glass as I didn’t want to weaken it.
    -The hull goes together quickly at this point. Glass on the upper front edge of strake 0 can be seen here – I was a little unsure about what upper edge meant, but what is in this photo was correct, as I could see the strain it was under later on in the process.
    The hull goes together quickly at this point. Glass on the upper front edge of strake 0 can be seen here – I was a little unsure about what upper edge meant, but what is in this photo was correct, as I could see the strain it was under later on in the process.
    +The hull goes together quickly at this point. Glass on the upper front edge of strake 0 can be seen here – I was a little unsure about what upper edge meant, but what is in this photo was correct, as I could see the strain it was under later on in the process.
    -Working alone, the strakes are very wobbly: one technique that I realized later was using a spring clamp (or several) on the lower strake towards the rear to hold the currently-being-wired strake in as the next gets wired. In email, Tom emphasized to wire from front to back, which I was able to once I had that issue worked out.
    Working alone, the strakes are very wobbly: one technique that I realized later was using a spring clamp (or several) on the lower strake towards the rear to hold the currently-being-wired strake in as the next gets wired. In email, Tom emphasized to wire from front to back, which I was able to once I had that issue worked out.
    +Working alone, the strakes are very wobbly: one technique that I realized later was using a spring clamp (or several) on the lower strake towards the rear to hold the currently-being-wired strake in as the next gets wired. In email, Tom emphasized to wire from front to back, which I was able to once I had that issue worked out.
    -After three strakes, bulkheads 10, 4, and the transom go in. I had temporary plywood formers, as specified, until this point. These bulkheads will align with the station lines that hopefully you marked before you cut out the strakes and transfered to the other set!
    After three strakes, bulkheads 10, 4, and the transom go in. I had temporary plywood formers, as specified, until this point. These bulkheads will align with the station lines that hopefully you marked before you cut out the strakes and transfered to the other set!
    +After three strakes, bulkheads 10, 4, and the transom go in. I had temporary plywood formers, as specified, until this point. These bulkheads will align with the station lines that hopefully you marked before you cut out the strakes and transfered to the other set!
    -A note about wires: I started out by buying some copper from Duckworks. It often broke on more extreme bends, and I ran out quickly. Since the design calls for glassing between the wires, then removing them, there is no risk of having any wire left in the hull, so I just got rebar wire from the hardware store. It’s pretty heavy gauge – certainly as strong as I needed (I could pull through the plywood before the wire broke). I ended up replacing most of the copper wires when I was tightening up the hull later on. If you were planning on bright finishing the boat, it is perhaps a bad idea, as it did leave a slight black stain, but I’m not, so no issue for me.
    A note about wires: I started out by buying some copper from Duckworks. It often broke on more extreme bends, and I ran out quickly. Since the design calls for glassing between the wires, then removing them, there is no risk of having any wire left in the hull, so I just got rebar wire from the hardware store. It’s pretty heavy gauge – certainly as strong as I needed (I could pull through the plywood before the wire broke). I ended up replacing most of the copper wires when I was tightening up the hull later on. If you were planning on bright finishing the boat, it is perhaps a bad idea, as it did leave a slight black stain, but I’m not, so no issue for me.
    +A note about wires: I started out by buying some copper from Duckworks. It often broke on more extreme bends, and I ran out quickly. Since the design calls for glassing between the wires, then removing them, there is no risk of having any wire left in the hull, so I just got rebar wire from the hardware store. It’s pretty heavy gauge – certainly as strong as I needed (I could pull through the plywood before the wire broke). I ended up replacing most of the copper wires when I was tightening up the hull later on. If you were planning on bright finishing the boat, it is perhaps a bad idea, as it did leave a slight black stain, but I’m not, so no issue for me.
    -The first real treat in the build: once the hull is wired together, the transition into the plumb bow really is a thing of beauty (who said plywood couldn’t do compound curves!)
    The first real treat in the build: once the hull is wired together, the transition into the plumb bow really is a thing of beauty (who said plywood couldn’t do compound curves!)
    +The first real treat in the build: once the hull is wired together, the transition into the plumb bow really is a thing of beauty (who said plywood couldn’t do compound curves!)
    -You also, of course, get a good sense of the whole shape of the boat – you won’t really get a better sense for a long time, so appreciate the milestone, and how quickly it has come!
    You also, of course, get a good sense of the whole shape of the boat – you won’t really get a better sense for a long time, so appreciate the milestone, and how quickly it has come!
    +You also, of course, get a good sense of the whole shape of the boat – you won’t really get a better sense for a long time, so appreciate the milestone, and how quickly it has come!
    -Now the somewhat time consuming step: filleting the bulkheads between the wires and glassing the strakes between the wires. I opted for big fillets and skipping the glass on the bulkheads, as it seemed easier, and based on the longevity of Goat Island Skiffs (see Comparison), I’m pretty sure the Apple 16 is somewhat over-built, strength-wise!)
    Now the somewhat time consuming step: filleting the bulkheads between the wires and glassing the strakes between the wires. I opted for big fillets and skipping the glass on the bulkheads, as it seemed easier, and based on the longevity of Goat Island Skiffs (see Comparison), I’m pretty sure the Apple 16 is somewhat over-built, strength-wise!)
    +Now the somewhat time consuming step: filleting the bulkheads between the wires and glassing the strakes between the wires. I opted for big fillets and skipping the glass on the bulkheads, as it seemed easier, and based on the longevity of Goat Island Skiffs (see Comparison), I’m pretty sure the Apple 16 is somewhat over-built, strength-wise!)
    @@ -150,13 +150,13 @@

    Photos of building sequence, wit

    -Time to flip the boat! It’s quite light, and with two people, would be very easy to do. Alone, it is stiff enough to just roll it onto its side, though I would suggest rolling it onto cardboard (on my next roll I did), both to protect the gunwales, and more importantly make it easy to slide it over.
    Time to flip the boat! It’s quite light, and with two people, would be very easy to do. Alone, it is stiff enough to just roll it onto its side, though I would suggest rolling it onto cardboard (on my next roll I did), both to protect the gunwales, and more importantly make it easy to slide it over.
    +Time to flip the boat! It’s quite light, and with two people, would be very easy to do. Alone, it is stiff enough to just roll it onto its side, though I would suggest rolling it onto cardboard (on my next roll I did), both to protect the gunwales, and more importantly make it easy to slide it over.
    -Glassing the outer seams isn’t hard, though it is time consuming – pictured here is once I was finished (not sanded though yet), including filling with epoxy mixed with fairing filler (I did epoxy, then glass, then fill dry spots; once it cured, another layer of unthickened epoxy, once that cured, filled with epoxy mixed with fairing filler to make sanding easier).
    Glassing the outer seams isn’t hard, though it is time consuming – pictured here is once I was finished (not sanded though yet), including filling with epoxy mixed with fairing filler (I did epoxy, then glass, then fill dry spots; once it cured, another layer of unthickened epoxy, once that cured, filled with epoxy mixed with fairing filler to make sanding easier).
    +Glassing the outer seams isn’t hard, though it is time consuming – pictured here is once I was finished (not sanded though yet), including filling with epoxy mixed with fairing filler (I did epoxy, then glass, then fill dry spots; once it cured, another layer of unthickened epoxy, once that cured, filled with epoxy mixed with fairing filler to make sanding easier).
    @@ -168,17 +168,17 @@

    Photos of building sequence, wit

    -Once all the outer seams have been fully coated, and the hull has been flipped (and possibly more stuff has been done: stem, perhaps centercase, hull glassed, etc), it’s time to sand down the short glass tapes and short fillets and do full length tape over top and full length fillets in the gaps. I sanded with a random orbital sander – I wasn’t that concerned about cutting a little bit into the weave, because there should be so much strength from the 3" full length tape (doubled at the centerline and first chine) and it made it a lot quicker.
    Once all the outer seams have been fully coated, and the hull has been flipped (and possibly more stuff has been done: stem, perhaps centercase, hull glassed, etc), it’s time to sand down the short glass tapes and short fillets and do full length tape over top and full length fillets in the gaps. I sanded with a random orbital sander – I wasn’t that concerned about cutting a little bit into the weave, because there should be so much strength from the 3" full length tape (doubled at the centerline and first chine) and it made it a lot quicker.
    +Once all the outer seams have been fully coated, and the hull has been flipped (and possibly more stuff has been done: stem, perhaps centercase, hull glassed, etc), it’s time to sand down the short glass tapes and short fillets and do full length tape over top and full length fillets in the gaps. I sanded with a random orbital sander – I wasn’t that concerned about cutting a little bit into the weave, because there should be so much strength from the 3" full length tape (doubled at the centerline and first chine) and it made it a lot quicker.
    -Then it’s just a matter of laying down glass tape – easier, in some ways, than the short segments!
    Then it’s just a matter of laying down glass tape – easier, in some ways, than the short segments!
    +Then it’s just a matter of laying down glass tape – easier, in some ways, than the short segments!
    -

    At this point, the hull is quite strong – it’ll obviously get stronger from knees, thwarts, tanks, floors, etc, and I haven’t felt confident getting into it (but also have been able to reach from the side for everything I’ve needed). Also, as additional (unintentional) confirmation: before building support cradles onto my saw horses, I accidentally dropped the back of the boat off onto the concrete floor (so, about an 18" drop). There was no damage anywhere, which is good!

    +

    At this point, the hull is quite strong – it’ll obviously get stronger from knees, thwarts, tanks, floors, etc, and I haven’t felt confident getting into it (but also have been able to reach from the side for everything I’ve needed). Also, as additional (unintentional) confirmation: before building support cradles onto my saw horses, I accidentally dropped the back of the boat off onto the concrete floor (so, about an 18" drop). There was no damage anywhere, which is good!

    diff --git a/_site/apple/building/stem.html b/_site/apple/building/stem.html index ba4bbc6..1919e74 100644 --- a/_site/apple/building/stem.html +++ b/_site/apple/building/stem.html @@ -84,25 +84,25 @@

    Photos of building sequence, wit
    -The outer (false) step did not appear in the plans outside the instruction sequence. I got details from Tom, including suggestions to chamfer the lower section into a sharp edge. I tried that, but couldn’t get it to look right, so just ended up with a square from (20ish mm wide) with rounded corners.
    The outer (false) step did not appear in the plans outside the instruction sequence. I got details from Tom, including suggestions to chamfer the lower section into a sharp edge. I tried that, but couldn’t get it to look right, so just ended up with a square from (20ish mm wide) with rounded corners.
    +The outer (false) step did not appear in the plans outside the instruction sequence. I got details from Tom, including suggestions to chamfer the lower section into a sharp edge. I tried that, but couldn’t get it to look right, so just ended up with a square from (20ish mm wide) with rounded corners.
    -I continued that into the forward part of the keel, which was glued down (with lots of weights carefully balanced on the 20mm square top), then reinforced with glass tape. This ends where the centerboard slot begins. When I was doing this, I wasn’t sure if the centerboard would require a different sized slot (I thought I was going to need to design it myself, rather than getting a design from Tom), so diverged from the plans and flipped the boat, deferring the rest of the bottom stuff (glassing, skeg), until later. With what I know now, I would probably do the ordinary sequence, building the centercase at this point.
    I continued that into the forward part of the keel, which was glued down (with lots of weights carefully balanced on the 20mm square top), then reinforced with glass tape. This ends where the centerboard slot begins. When I was doing this, I wasn’t sure if the centerboard would require a different sized slot (I thought I was going to need to design it myself, rather than getting a design from Tom), so diverged from the plans and flipped the boat, deferring the rest of the bottom stuff (glassing, skeg), until later. With what I know now, I would probably do the ordinary sequence, building the centercase at this point.
    +I continued that into the forward part of the keel, which was glued down (with lots of weights carefully balanced on the 20mm square top), then reinforced with glass tape. This ends where the centerboard slot begins. When I was doing this, I wasn’t sure if the centerboard would require a different sized slot (I thought I was going to need to design it myself, rather than getting a design from Tom), so diverged from the plans and flipped the boat, deferring the rest of the bottom stuff (glassing, skeg), until later. With what I know now, I would probably do the ordinary sequence, building the centercase at this point.
    -For the breasthook, I wanted to shape it to curve up along the line that the gunwale followed (as it is dropping down along the sides), so I fit it in proud, and then used a power planer and sander to shape it. Also, given my lazy craftsmanship: rather than getting the joint perfect, I cut it close enough and added a ton of thickened epoxy to fill the gaps.
    For the breasthook, I wanted to shape it to curve up along the line that the gunwale followed (as it is dropping down along the sides), so I fit it in proud, and then used a power planer and sander to shape it. Also, given my lazy craftsmanship: rather than getting the joint perfect, I cut it close enough and added a ton of thickened epoxy to fill the gaps.
    +For the breasthook, I wanted to shape it to curve up along the line that the gunwale followed (as it is dropping down along the sides), so I fit it in proud, and then used a power planer and sander to shape it. Also, given my lazy craftsmanship: rather than getting the joint perfect, I cut it close enough and added a ton of thickened epoxy to fill the gaps.
    -Also, I noticed after gluing in the breaksthook that I had shaped the back of it backwards, so much later, cut the curve to fit (also, this photo shows the nose: both it and the breaksthook need tuning, but are close).
    Also, I noticed after gluing in the breaksthook that I had shaped the back of it backwards, so much later, cut the curve to fit (also, this photo shows the nose: both it and the breaksthook need tuning, but are close).
    +Also, I noticed after gluing in the breaksthook that I had shaped the back of it backwards, so much later, cut the curve to fit (also, this photo shows the nose: both it and the breaksthook need tuning, but are close).
    diff --git a/_site/apple/building/sterntank.html b/_site/apple/building/sterntank.html index 761c8e6..d0ccbfb 100644 --- a/_site/apple/building/sterntank.html +++ b/_site/apple/building/sterntank.html @@ -84,61 +84,61 @@

    Photos of building sequence, wit
    -This photo gives a good sense of how I was arranging the stern: two sealed tanks with an open channel in the middle which houses the mizzen step, so if water runs down from the mizzen mast, it can drain out. The tank sides also provide support for the seat tops and the mizzen partner (additional framing will go over the tank tops).
    This photo gives a good sense of how I was arranging the stern: two sealed tanks with an open channel in the middle which houses the mizzen step, so if water runs down from the mizzen mast, it can drain out. The tank sides also provide support for the seat tops and the mizzen partner (additional framing will go over the tank tops).
    +This photo gives a good sense of how I was arranging the stern: two sealed tanks with an open channel in the middle which houses the mizzen step, so if water runs down from the mizzen mast, it can drain out. The tank sides also provide support for the seat tops and the mizzen partner (additional framing will go over the tank tops).
    -The mizzen partner and step are shown here (not glued or epoxy coated yet!): they have a 5.75 degree rake, which corresponds to 50mm rake back a half-meter up, which happens to be what my fake mizzenmast is. I used two layers of ply and then a layer of solid wood for the partner (plus, the tank top will be another layer of ply on top); the step is three layers of ply sitting on top of a base of khaya, where the bottom two layers of ply have a drainage channel cut.
    The mizzen partner and step are shown here (not glued or epoxy coated yet!): they have a 5.75 degree rake, which corresponds to 50mm rake back a half-meter up, which happens to be what my fake mizzenmast is. I used two layers of ply and then a layer of solid wood for the partner (plus, the tank top will be another layer of ply on top); the step is three layers of ply sitting on top of a base of khaya, where the bottom two layers of ply have a drainage channel cut.
    +The mizzen partner and step are shown here (not glued or epoxy coated yet!): they have a 5.75 degree rake, which corresponds to 50mm rake back a half-meter up, which happens to be what my fake mizzenmast is. I used two layers of ply and then a layer of solid wood for the partner (plus, the tank top will be another layer of ply on top); the step is three layers of ply sitting on top of a base of khaya, where the bottom two layers of ply have a drainage channel cut.
    -To cut the angle on the mizzen step and partner once I had glued them together, I made a template based on the rake on the boat and matched that when filing away.
    To cut the angle on the mizzen step and partner once I had glued them together, I made a template based on the rake on the boat and matched that when filing away.
    +To cut the angle on the mizzen step and partner once I had glued them together, I made a template based on the rake on the boat and matched that when filing away.
    -The front faces of the tanks have hatches: the Armstrong hatches I’m using don’t have any permanent attachments in the boat (and seal very well), but still need reinforcing rings. Unfortunately, in the attempt to keep the hatches clear of potential side tanks and floorboards, I went a little close to the top/side, not accounting for the stringers. There is still enough room for the internal arm of the hatches to fit at two positions, but not at every position as normal.
    The front faces of the tanks have hatches: the Armstrong hatches I’m using don’t have any permanent attachments in the boat (and seal very well), but still need reinforcing rings. Unfortunately, in the attempt to keep the hatches clear of potential side tanks and floorboards, I went a little close to the top/side, not accounting for the stringers. There is still enough room for the internal arm of the hatches to fit at two positions, but not at every position as normal.
    +The front faces of the tanks have hatches: the Armstrong hatches I’m using don’t have any permanent attachments in the boat (and seal very well), but still need reinforcing rings. Unfortunately, in the attempt to keep the hatches clear of potential side tanks and floorboards, I went a little close to the top/side, not accounting for the stringers. There is still enough room for the internal arm of the hatches to fit at two positions, but not at every position as normal.
    -Then everything on the inside is primed
    Then everything on the inside is primed
    +Then everything on the inside is primed
    -And painted. Doing it before gluing anything in meant a few surfaces had to be roughed (I taped some edges, but didn’t tape everywhere), but made the painting much quicker and easier.
    And painted. Doing it before gluing anything in meant a few surfaces had to be roughed (I taped some edges, but didn’t tape everywhere), but made the painting much quicker and easier.
    +And painted. Doing it before gluing anything in meant a few surfaces had to be roughed (I taped some edges, but didn’t tape everywhere), but made the painting much quicker and easier.
    -The stern seat top is supported by the tank sides and by stringers running across the open space. These were roughly beveled to fit the outer edge (which ongles in two directions), but thickened epoxy filled any gaps – spring clamps held them securely in place while the epoxy cured.
    The stern seat top is supported by the tank sides and by stringers running across the open space. These were roughly beveled to fit the outer edge (which ongles in two directions), but thickened epoxy filled any gaps – spring clamps held them securely in place while the epoxy cured.
    +The stern seat top is supported by the tank sides and by stringers running across the open space. These were roughly beveled to fit the outer edge (which ongles in two directions), but thickened epoxy filled any gaps – spring clamps held them securely in place while the epoxy cured.
    -At this point, I shaped and cut the rudder post, which is the design for a non-raked rudder. Tom suggested in the case of a centerboard, this would be better, and Matt Bowser described issues he’d had with the entire rudder popping off (rather than kicking up) with the raked rudder. I used ~30mm maple that I had, which is perhaps not ideal boat building wood, but it’ll be entirely encapsulated in epoxy and paint, and it certainly is hard! I put three screws in from the inside by first drilling holes along the (marked) centerline from the outside and then holding the rudder post on as square as possible and drilling from the inside out into the rudder post. Once that was on, the mizzen partner went on, making the screws a lot harder to get to.
    At this point, I shaped and cut the rudder post, which is the design for a non-raked rudder. Tom suggested in the case of a centerboard, this would be better, and Matt Bowser described issues he’d had with the entire rudder popping off (rather than kicking up) with the raked rudder. I used ~30mm maple that I had, which is perhaps not ideal boat building wood, but it’ll be entirely encapsulated in epoxy and paint, and it certainly is hard! I put three screws in from the inside by first drilling holes along the (marked) centerline from the outside and then holding the rudder post on as square as possible and drilling from the inside out into the rudder post. Once that was on, the mizzen partner went on, making the screws a lot harder to get to.
    +At this point, I shaped and cut the rudder post, which is the design for a non-raked rudder. Tom suggested in the case of a centerboard, this would be better, and Matt Bowser described issues he’d had with the entire rudder popping off (rather than kicking up) with the raked rudder. I used ~30mm maple that I had, which is perhaps not ideal boat building wood, but it’ll be entirely encapsulated in epoxy and paint, and it certainly is hard! I put three screws in from the inside by first drilling holes along the (marked) centerline from the outside and then holding the rudder post on as square as possible and drilling from the inside out into the rudder post. Once that was on, the mizzen partner went on, making the screws a lot harder to get to.
    -Not mentioned in this sequence is all the filleting that had to happen: along every edge that didn’t have a stringer. I didn’t bother to paint over the fillets, but I did use pure silica as the thickener so that it somewhat blended in to the off-white paint! Then it is time to glue on the tank top, after coating every exposed stringer with thickened epoxy. Since getting inside the tanks to clean up squeeze out would be difficult at best, I didn’t put a ton of epoxy on; obviously I want good connections, but if there were tiny gaps it isn’t a huge deal. Indeed, only at the front edge and along the middle ahead of the partner would it compromise the tank watertightness, since the upper edge will be filleted around the outer edge.
    Not mentioned in this sequence is all the filleting that had to happen: along every edge that didn’t have a stringer. I didn’t bother to paint over the fillets, but I did use pure silica as the thickener so that it somewhat blended in to the off-white paint! Then it is time to glue on the tank top, after coating every exposed stringer with thickened epoxy. Since getting inside the tanks to clean up squeeze out would be difficult at best, I didn’t put a ton of epoxy on; obviously I want good connections, but if there were tiny gaps it isn’t a huge deal. Indeed, only at the front edge and along the middle ahead of the partner would it compromise the tank watertightness, since the upper edge will be filleted around the outer edge.
    +Not mentioned in this sequence is all the filleting that had to happen: along every edge that didn’t have a stringer. I didn’t bother to paint over the fillets, but I did use pure silica as the thickener so that it somewhat blended in to the off-white paint! Then it is time to glue on the tank top, after coating every exposed stringer with thickened epoxy. Since getting inside the tanks to clean up squeeze out would be difficult at best, I didn’t put a ton of epoxy on; obviously I want good connections, but if there were tiny gaps it isn’t a huge deal. Indeed, only at the front edge and along the middle ahead of the partner would it compromise the tank watertightness, since the upper edge will be filleted around the outer edge.
    -Then the screws come out, holes filled, mizzen hole cut, and outer edge filleted. Note, of course, that this fillet hides any minor imperfections in the tank top fit.
    Then the screws come out, holes filled, mizzen hole cut, and outer edge filleted. Note, of course, that this fillet hides any minor imperfections in the tank top fit.
    +Then the screws come out, holes filled, mizzen hole cut, and outer edge filleted. Note, of course, that this fillet hides any minor imperfections in the tank top fit.
    diff --git a/_site/apple/comparison.html b/_site/apple/comparison.html index 27f5df1..fd94043 100644 --- a/_site/apple/comparison.html +++ b/_site/apple/comparison.html @@ -57,17 +57,17 @@

    Comparison with other boats

    All of the boats on this page are in a roughly similar design space as the Apple 16: 15ft-16ft long, about 5ft wide (beam), and somewhere between 130lbs to 250lbs (actual weights will vary wildly, as choice of materials makes a huge difference; I found this out when I built a supposedly 65lb boat that weighs 120lbs by replacing the 4mm ply with 6mm and using 29lb per sheet lumberyard ply instead of 12lb 4mm occume and 18lb 6mm occume).

    A few are particularly popular, and this page compares the Apple 16 with them, highlighting advantages, in particular, why I ended up building it!

    Goat Island Skiff by Michael Storer

    -

    Storer’s most popular boat, the GIS is 15’6", 5’ beam, 125+lbs, with a 105ft lug sail, though Clint Chase has a lug-yawl option for it.

    +

    Storer’s most popular boat, the GIS is 15’6", 5’ beam, 125+lbs, with a 105ft lug sail, though Clint Chase has a lug-yawl option for it.

    In a lot of ways, this boat seems incredibly similar, though it is certainly easier to build (the hull is a flat bottom panel, two sides, and a transom), and it’s very highly recommended. Also, Storer’s plans are generally very good, and the GIS is probably the best of them, given that the plans have had the most eyes on them! The downside is that it seems to be a boat designed for dinghy sailors, in that it is a bit unstable! The light weight, combined with the narrow front means that capsizing it is certainly a risk, and there doesn’t seem to be much to do about it aside from be an experienced sailor!

    While obviously any light dinghy will capsize, since the Apple 16 doesn’t have a flat bottom, it can have ballast put in (water tanks, or more easily, heavy material like metal or sand), which will make it much more stable. This might make it less exciting to sail, but much better when out with family, or in heavier weather – and with removable ballast, it’s easy to switch. Ballasting isn’t really possible in a flat bottom boat like the GIS, because it would need to switch from side to side on each tack (obviously, the sailors serve as ballast, but that requires skill). Aside from the easier build and more straightforward plans (there is essentially one GIS – modifications do exist, but are pretty rare and minor), another advantage the GIS has is the flat transom makes mounting a motor more straightforward – no complicated mount needed to account for the 30 degree raked transom on the Apple 16.

    Phoenix III by Ross Lillistone

    A narrower boat at 4’9“, and a little shorter at 15’1.5”, and in general, it is quite a bit smaller, given the area ahead of the mast is inaccessible and the side decks, while making it more seaworthy, also cut into space. At least one sailor experienced with it (and indeed, who thinks it is great) said that it is really comfortably a two person boat. On the flip side, it is probably a much better row boat! It is reported to be quite stable, but is still quite light (spec’ed at 132lbs), and with 104sqft (for the sloop), it moves along!

    Building wise, it is more complex, given the glued lapstrake, but that’s easily avoided by building the similarly designed stitch and glue First Mate.

    -

    In terms of comparison with the Apple, I think the main difference is that for a similar (though, 8.5" isn’t nothing!) length, and probably similar building process, the Apple 16 is a lot more boat: whether that is actually relevant is of course, a personal decision, but being able to take out three other people comfortably was important to me, and all the other constraints (total cost, space it would take up in garage, difficulty to transport it) seemed pretty similar to me. But, I say that as someone who considers rowing a necessary was to get around when there isn’t enough wind!

    +

    In terms of comparison with the Apple, I think the main difference is that for a similar (though, 8.5" isn’t nothing!) length, and probably similar building process, the Apple 16 is a lot more boat: whether that is actually relevant is of course, a personal decision, but being able to take out three other people comfortably was important to me, and all the other constraints (total cost, space it would take up in garage, difficulty to transport it) seemed pretty similar to me. But, I say that as someone who considers rowing a necessary was to get around when there isn’t enough wind!

    Argie 15 by Dudley Dix

    This is perhaps the closest boat to the Apple 16 – partly because the design brief was very similar. While with the Apple 16, Tom was trying to figure out the biggest boat that could be built in a single car garage, he ended up determining that it should come out of 6 sheets of plywood. With the Argie 15, Dudley wanted to build the biggest boat possible out of 6 sheets of plywood. The Argie 15 is a little shorter (15’5“) and a little wider (6’0”). The pluses are that it is designed as a 3-in-1, so fitting a motor is straightforward (indeed, it can be used solely as a motor boat), and it’s also designed to make it easy to sleep on the floor (if that is important to you). And it is clearly a well-tested design by a good designer. Finally, it can be gotten in kit form in many places (in the US, the kits are cut by CLC, though sold by Dudley). So there is a lot going for it! What tips me over to the Apple 16 is partly the rig: while people have put different rigs on the Argie 15, a stayed bermuda sloop is what it is intended to be, and I prefer unstayed lug rigs and like the idea (though have not sailed!) of lug yawls. The spars in the Apple 16 fit in the hull without needing to be in multiple pieces. Finally, there are pure aesthetics: the Argie 15 is certainly a pretty boat, but the plumb bow of the Apple 16 grabbed me.

    Calendar Islands Yawl by Clint Chase

    -

    This is a much newer design that any of the other boats on this list (which are all, as far as I know, from the mid-early 90s or before). At 15’6" and 5’2" beam, 235lbs, it is very similar in specs to the Apple 16. Appearance wise, the lapstrake upper strakes certainly give a different look, and the fact that it can be built from a kit may be appealing to some (but, the cost was prohibitive to me; it would have increased the total cost of the build by at least a factor of two). The downside, of course, is that it is quite a new design, and while Clint is certainly a designer who has put a ton of time into this boat, it hasn’t been tested in the way that others on this list have.

    +

    This is a much newer design that any of the other boats on this list (which are all, as far as I know, from the mid-early 90s or before). At 15’6" and 5’2" beam, 235lbs, it is very similar in specs to the Apple 16. Appearance wise, the lapstrake upper strakes certainly give a different look, and the fact that it can be built from a kit may be appealing to some (but, the cost was prohibitive to me; it would have increased the total cost of the build by at least a factor of two). The downside, of course, is that it is quite a new design, and while Clint is certainly a designer who has put a ton of time into this boat, it hasn’t been tested in the way that others on this list have.

    Have another boat you have compared with? Share it with dbp@dbpmail.net

    diff --git a/_site/apple/index.html b/_site/apple/index.html index 3ed118d..3b10f63 100644 --- a/_site/apple/index.html +++ b/_site/apple/index.html @@ -82,7 +82,7 @@

    Apple 16 – unofficial website

    About the Campion Apple 16

    The Apple 16 is a 15ft 10in lug-yawl designed by Tom Dunderdale of Campion Boats. The official webpage has quite a bit of information about the Apple 16, but it’s sometimes hard to follow (particularly, there are many links that are not styled as links! And other links that are only images…).

    -

    To buy plans, email Tom: td@campionboats.co.uk, you can find the current plan prices here: http://www.campionboats.co.uk/prices.html. Tom is very responsive over email, so getting the plans is very easy (note the three options: the plain Apple 16, as described on this website, is the Apple AHL there; the Apple 16 plan set is the regular Apple includes plans for the gaff cutter, and the Swedish Apple has more planks).

    +

    To buy plans, email Tom: td@campionboats.co.uk, you can find the current plan prices here: http://www.campionboats.co.uk/prices.html. Tom is very responsive over email, so getting the plans is very easy (note the three options: the plain Apple 16, as described on this website, is the Apple AHL there; the Apple 16 plan set is the regular Apple includes plans for the gaff cutter, and the Swedish Apple has more planks).

    Why This Site

    The Apple 16 is an amazing design, but for various reasons it seems to be less popular than other boats that fit into the same category (general length, weight, etc), even while it seems to have many advantages (described in Comparison section). But, one problem with building a less popular boat is that there are less community resources, and it’s harder to understand, before building, what is going to be involved – hopefully this site, including a detailed log of my own process, which should give at least rough time estimates (everyone works at different paces, has different standards, tools, etc), should help!

    Also, while Tom is incredibly responsive, the plans themselves can be somewhat overwhelming once you get past the hull (where the step-by-step instructions stop) – the issue is that the boat has had tons of different options added over time (water ballast, 3/4 decking, floorboards, side tanks, etc, etc), and these all overlap in various ways in the plan sheets. This does mean, if you want to customize thing, you can often find guidance in the plans (and if not, Tom is incredibly helpful), but it can be intimidating. So another goal of this site is to show how to interpret the plans into a single boat: the one that I’m building, so that if you want to build a similar one, hopefully you have to do less pondering than I did. I will also include all of the communication that I have had with Tom (clarifying details, etc), but of course the plans themselves you will get from him.

    diff --git a/_site/apple/others.html b/_site/apple/others.html index c2e4167..a336b90 100644 --- a/_site/apple/others.html +++ b/_site/apple/others.html @@ -58,8 +58,8 @@

    Not a

    Matt Bowser, Swedish Apple with totally custom interior

    Swiss person on Reddit, Swedish Apple (not much info)

    -

    And then it seems to have dropped off (Day 6 was posted, as of this writing, 17 days ago).

    +

    And then it seems to have dropped off (Glassing was posted, as of this writing, 6 months ago).

    Know of another documented Apple 16 build? Send me info at dbp@dbpmail.net

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    Building the OzRacer RV

    Summary and some notes

    There wasn’t much information out there about this build, even though it seems like a lot of people have made them. In particular, I had no idea how long I should expect it to take (and I underestimated how long it would take – the only number I saw was 10 days, which perhaps a professional, or someone with a helper, could do, but not me!). So this page is an attempt to give more information that might be useful to someone taking on this project. In the end, with every step, including a bunch of time spent stripping off poorly adhered paint and repainting (probably around 15hrs lost), to a rigged boat ready to launch, it took 150.75 hours. As a total amateur.

    Also, the plans are pretty detailed, but they aren’t perfect – there are places where they are incomplete, or misleading (e.g., they suggest gluing in the mast step at two different places in the plans – I chose the first one arbitrarily! Even worse, the rudder box instructions say, counter to the pictures, you should glue the framing on after gluing the box together. But if you do that, it’s impossible to drill a countersunk hole on the inside of the rudderbox. So the proposed assembly instructions are essentially impossible) So read everything and try to understand how things fit together – it’s not a matter of just following the instructions in order. However, I am confident that they include enough information that a complete novice (like me) can end up with a boat, but it probably won’t match what is describe exactly, because I don’t think what is describe is actually consistent. Somewhat frustrating, especially given how much love people give to the plan author (as an engineering spec, at least the type I would expect from my entirely different background as a software engineering, I would give it a C-).

    -

    Another unclear part is when you should be epoxying things! In the appendix, the author says that they strongly prefer coating surfaces at the point that they are getting glued to other things, but then the instructions (and images) don’t seem to do that. Some surfaces really should be done that way, because then they will become in internal places, but others may be better to wait (I realize now, perhaps the inside of sealed compartments need not have been coated at all! Assuming no leaks, they should never see water, and it would have saved time and weight to not coat them). I ended up coating most everything (on both sides) before assembly, somewhat ignoring the advice that places where pieces will later get attached should get masked off (confusingly, one of the main sources of information, aside from the plans, is this site: http://www.bitingmidge.com/boats/ozracer/building/oneminute.html, which suggests pre-coating the entire plywood panels. This might have actually been a much better plan, but clearly contradicts the idea that you shouldn’t pre-coat areas that will get glued. It’s also probably somewhat wasteful, as even scrap parts get coated, and it may make things harder to cut, as epoxy makes the wood a lot stronger). I then sanded the panels before they got glued to other parts, and hopefully it’s all strong enough!

    +

    Another unclear part is when you should be epoxying things! In the appendix, the author says that they strongly prefer coating surfaces at the point that they are getting glued to other things, but then the instructions (and images) don’t seem to do that. Some surfaces really should be done that way, because then they will become in internal places, but others may be better to wait (I realize now, perhaps the inside of sealed compartments need not have been coated at all! Assuming no leaks, they should never see water, and it would have saved time and weight to not coat them). I ended up coating most everything (on both sides) before assembly, somewhat ignoring the advice that places where pieces will later get attached should get masked off (confusingly, one of the main sources of information, aside from the plans, is this site: http://www.bitingmidge.com/boats/ozracer/building/oneminute.html, which suggests pre-coating the entire plywood panels. This might have actually been a much better plan, but clearly contradicts the idea that you shouldn’t pre-coat areas that will get glued. It’s also probably somewhat wasteful, as even scrap parts get coated, and it may make things harder to cut, as epoxy makes the wood a lot stronger). I then sanded the panels before they got glued to other parts, and hopefully it’s all strong enough!

    Tools Used (in order of frequency):

    • Drill
    • @@ -61,12 +61,12 @@

      Cost

      $368.65 Duckworks -Fiberglass tape, cloth, wood flour, sail tape, thread, rigging hardware, 3 gallons of marinepoxy, two 6" deck plates (and over $50 shipping!) +Fiberglass tape, cloth, wood flour, sail tape, thread, rigging hardware, 3 gallons of marinepoxy, two 6" deck plates (and over $50 shipping!) $216.74 Local lumberyard -Plywood (four 1/4" plywood sheets) and all lumber +Plywood (four 1/4" plywood sheets) and all lumber $97.34 @@ -76,7 +76,7 @@

      Cost

      $55 Amazon -Wood glue, grommets, painters tape, duct tape, heavy duty needles, 2" screws, 3/4" screws. +Wood glue, grommets, painters tape, duct tape, heavy duty needles, 2" screws, 3/4" screws. ~$150 @@ -115,7 +115,7 @@

      Cost

      -

      This was quite a bit more than I was expecting (which, based on things I had read, made me think it’d be about $500). Part of that is probably that I got marine paint, which is expensive, vs. regular outdoor house paint (which probably would have been fine, and probably would have saved ~$80), but also not thinking about all the disposable stuff (brushes, rollers, drop cloths, gloves) which, on it’s own isn’t expensive, but adds up. Finally, the rigging stuff, deck hatches, and rudder hardware is not cheap ($51 for rope & blocks, $35 for rudder stuff, $20 for two 6" hatches)! Those things account for about $300, which combined with probably paying more for lumber than strictly necessary (I got high quality 5/4ths stuff for the foils, which was not cheap, and I probably could have just gotten more 2x4s and ripped them. The plywood was just under $100, and there really wasn’t that much other lumber necessary) and a lot of miscellaneous things (like $8.65 for seam tape for the sail, $5 for high quality thread, etc) account for the “extra”.

      +

      This was quite a bit more than I was expecting (which, based on things I had read, made me think it’d be about $500). Part of that is probably that I got marine paint, which is expensive, vs. regular outdoor house paint (which probably would have been fine, and probably would have saved ~$80), but also not thinking about all the disposable stuff (brushes, rollers, drop cloths, gloves) which, on it’s own isn’t expensive, but adds up. Finally, the rigging stuff, deck hatches, and rudder hardware is not cheap ($51 for rope & blocks, $35 for rudder stuff, $20 for two 6" hatches)! Those things account for about $300, which combined with probably paying more for lumber than strictly necessary (I got high quality 5/4ths stuff for the foils, which was not cheap, and I probably could have just gotten more 2x4s and ripped them. The plywood was just under $100, and there really wasn’t that much other lumber necessary) and a lot of miscellaneous things (like $8.65 for seam tape for the sail, $5 for high quality thread, etc) account for the “extra”.

      Extra cost

      The initial paint job I did both didn’t come out well (I think it was way too hot when I painted it, especially the top, which I did outside in the sun!), and I realized that the color on top really didn’t look right. So I decided to scrape/sand off the paint and repaint it. Since this was turning into a much longer term project, I decided to spend more time researching and decided to paint it with old-school marine paint from the local shop Kirby paints (which has been operating continuously since 1846). It’s a bit more expensive than the original stuff I got, but the colors are a lot nicer. Getting a couple quarts, plus thinner, and some brushes was about another $100.

      Work log

      @@ -178,7 +178,7 @@

      Work log

      2018 Subtotal: 74 hours

      Total: 150.75 hours

      Photos of progress

      - Getting all the lumber, post stripping it with a table saw my dad had. Without access to a table saw and someone who knows how to use it, I don’t think this project would be possible – the dimensions of lumber needed are not things that are available standard. And, even if they were, they would probably be so much more expensive. For example, I got 12" wide pine planks that were then ripped to get the 3/4" by 3/4" strips, the 3/4" by 1 3/4", etc. + Getting all the lumber, post stripping it with a table saw my dad had. Without access to a table saw and someone who knows how to use it, I don’t think this project would be possible – the dimensions of lumber needed are not things that are available standard. And, even if they were, they would probably be so much more expensive. For example, I got 12" wide pine planks that were then ripped to get the 3/4" by 3/4" strips, the 3/4" by 1 3/4", etc.
      @@ -238,7 +238,7 @@

      Photos of progress

      -

      Painted & flipped the boat (it’s gotten heavy! Problem with getting plywood from a local lumberyard is that thinnest they had was 1/4", and I’m sure it’s not the lightest stuff!)

      +

      Painted & flipped the boat (it’s gotten heavy! Problem with getting plywood from a local lumberyard is that thinnest they had was 1/4", and I’m sure it’s not the lightest stuff!)

      @@ -254,7 +254,7 @@

      Photos of progress

      -

      Some really crappy paddles made out of scrap ply, extra 3/4" square with some epoxy added and fiberglass tape wrapped around handle (though I was lazy and only did a single coat of epoxy, so fiberglass tape is still very present. It also hadn’t fully dried when we took it out the next day, so I wrapped duct tape around the handle and halfway down the shaft, so it wouldn’t feel sticky!)

      +

      Some really crappy paddles made out of scrap ply, extra 3/4" square with some epoxy added and fiberglass tape wrapped around handle (though I was lazy and only did a single coat of epoxy, so fiberglass tape is still very present. It also hadn’t fully dried when we took it out the next day, so I wrapped duct tape around the handle and halfway down the shaft, so it wouldn’t feel sticky!)

      diff --git a/_site/essays/2014-10-05-why-test-in-haskell.html b/_site/essays/2014-10-05-why-test-in-haskell.html index faa506f..f966c11 100644 --- a/_site/essays/2014-10-05-why-test-in-haskell.html +++ b/_site/essays/2014-10-05-why-test-in-haskell.html @@ -29,13 +29,13 @@

      Why test in Haskell?

      by Daniel Patterson on October 5, 2014

      Every so often, the question comes up, should you test in Haskell, and if so, how should you do it?

      -

      Most people agree that you should test pure, especially complicated, algorithmic code. Quickcheck1 is a great way to do this, and most Haskellers have internalized this (Quickcheck was invented here, so it must provide value!). What’s less clear (or at least, more debated!) is whether you should be testing monadic code, glue code, and code that just isn’t all that complicated.

      +

      Most people agree that you should test pure, especially complicated, algorithmic code. Quickcheck1 is a great way to do this, and most Haskellers have internalized this (Quickcheck was invented here, so it must provide value!). What’s less clear (or at least, more debated!) is whether you should be testing monadic code, glue code, and code that just isn’t all that complicated.

      Quickcheck?

      A lot Haskell I’m writing these days is with the web framework Snap, and web handlers often have the type Handler App App () - where Handler is a web monad (giving access to request information, and the ability to write response data), and App indicates access to application specific state (like database connections, templates, etc).

      So the inputs (ie, how to run this action) include any HTTP request and any application state, and the only outputs are side effects (as all it returns is unit). Using Quickcheck here is… challenging. You could restrict the generated requests to have the right URL, and even have the right query parameters, but since the query parameters are just text, if they were supposed to be more structured (like an interger), the chance of actually generating text that was just a number is pretty low… And then if the number were supposed to be the id of an element in the database….

      But assume that we restrict it so that it’s only generating ids for elements in the database, what are the properties we are asserting? Let’s say that the handler looked up the element, and rendered it on the page. So then we want to assert something about the content of the response (which is wrapped up in the Handler monad). But maybe it should also increment a view count in the database. And assuming that we wrote all these into properties, what are the elements in the database that it is choosing among? And in some senses we’ve now restricted too much, because we may want to see what the behavior is like for slightly invalid inputs. Say, integer id’s that don’t correspond to elements in the database. This is all certainly possible, and may be worth doing, but it seems pretty difficult. Which is totally different from the experience of testing nice pure functions!

      Let’s try to tease out a little bit of why testing this kind of code with Quickcheck is hard. One problem is that the input space, as determined by the type, is massive. And for most of the possible inputs, the result should be some version of a no-op. Another problem is the dependence on state, as the possible inputs are contingent on external state, and the outputs are primarily changes to state, each of which, again, is a massive space.

      -

      But having massive input and output spaces is not necessarily a reason not to be using randomized testing. Indeed, this is exactly the kind of thing that fuzz-testing of web browsers, for example, has done with great effect2. The problem in this case is that the size of the input and output space is not at all in proportion to the complexity of the code. If we were writing an HTTP server, we may indeed want to be generating random requests, throwing them at the web server, and making sure it was generating well-formed responses (404s being perfectly fine).

      +

      But having massive input and output spaces is not necessarily a reason not to be using randomized testing. Indeed, this is exactly the kind of thing that fuzz-testing of web browsers, for example, has done with great effect2. The problem in this case is that the size of the input and output space is not at all in proportion to the complexity of the code. If we were writing an HTTP server, we may indeed want to be generating random requests, throwing them at the web server, and making sure it was generating well-formed responses (404s being perfectly fine).

      Not that complicated…

      But we’re just writing a little bit of glue code. Which isn’t that complicated. And can be tested manually pretty easily. And may change rapidly.

      Which means spending a lot of time setting up property based tests (which in these sorts of cases are necessarily going to be quite a bit more complicated than quintessential Quickcheck examples like showing that reverse . reverse = id).

      @@ -54,7 +54,7 @@

      Increasing complexity?

      Which is where we come to the argument that testing slows things down, and that for rapidly changing code, it just doesn’t matter.

      What about just not sampling?

      But if we step back a bit, we realize that what Quickcheck is trying to do is to sample representatively (well, with a bias towards edge cases) over the type of the input. And it’s easy to see why that’s appealing, as it gives you reasonable confidence that any use of the function behaves as desired. But if we forget about that, as we already know that our types completely underspecify the behavior, we realize all that we really care about is that the code does what we think it should do on a few example cases. That’s what we were going to manually verify after writing the code anyway.

      -

      Which is easy to test. With Snap, I’d write some tests for the above snippet like3:

      +

      Which is easy to test. With Snap, I’d write some tests for the above snippet like3:

      do f <- create ()
          let i = show . unFooId . fooId $ f
          get ("/foo/" ++ i) >>= should200
      @@ -70,18 +70,18 @@ 

      What about just not sampling?

      Which seems like a lot of assurance for a very small amount of work. And if your application is fast moving, this benefits you even more, as the faster you move, the more likely you are to break things (at least, that’s always been my experience!). If you do decide to rewrite this handler, fixing these tests is going to take a tiny amount of time (probably less time than you spend manually confirming that the change worked).

      Why this should be expected to work.

      To take it a little further, and perhaps justify from a somewhat theoretical point of view why these sorts of tests are so valuable, consider all possible implementations of any function (or monadic action). The possible implementations with the given type are a subset of all the possible implementations, but still potentially a pretty large one (our example of a web handler certainly has this property).

      -

      This perspective gives us some intuition on why it is much easier to test simple, pure functions. There are only four possible implementations of a Bool -> Bool function, so testing not via sampling seems pretty tractable. To go even further, we get into the territory of “Theorems for Free”4, where there is only one implementation for an (a,b) -> a function, so testing fst is pointless.

      +

      This perspective gives us some intuition on why it is much easier to test simple, pure functions. There are only four possible implementations of a Bool -> Bool function, so testing not via sampling seems pretty tractable. To go even further, we get into the territory of “Theorems for Free”4, where there is only one implementation for an (a,b) -> a function, so testing fst is pointless.

      But returning to our case of massive spaces of well-typed implementations: A single test, like one of the above, corresponds to another subset of all the possible implementations. For example, the first test corresponds to the subset that return success when passed the given url via GET request. Since we’re in Haskell, we also get a guarantee that the set of implementations that fulfill the test is a (non)strict subset of the set of implementations that fulfill the type, as if this were not the case, our test case wouldn’t type check. The problem with the first test, of course, is that there are all sorts of bogus implementations that fulfill it. For example, the handler that always returns success would match that test.

      But even still, it is a strict subset of the implementations that fulfill the type (for example, the handler that always returns 404 is not in this set), so we’re guaranteed to have improved the chance that our code is correct, even with such a weak test (granted, it actually may not be that weak of a test - in one project, I have a menu generated from a data structure in code, and a test that iterates through all elements of the menu, checking that hitting each url results in a 200. And this has caught many refactoring problems!).

      Where we really start to benefit is as we add a few more tests. The second test shows that the handler must somehow get an element out of the database (provided our create () test function is creating relatively unique field names), which is another (strict) subset of the set of implementations that fulfill the type. And we now know that our implementation must be somewhere in the intersection of these two subsets.

      It shouldn’t be hard to convince yourself that through the process of just writing a few (well chosen) tests you can vastly reduce the possibility of writing incorrect implementations. Which, when we are writing relatively straightforward code, will probably be good enough to ensure that the code is actually correct. And will continue to verify that as the code evolves. Pretty good for a couple lines of code.

      -
      +

        -
      1. For those who haven’t used Quickcheck, it allows you to specify properties that a function should satisfy, and possibly a way to generate random values of the input type (if your input is a standard type, it already knows how to do this), and it will generate some number of inputs and verify that the property holds for all of them.

      2. -
      3. See, for example, www.squarefree.com/2014/02/03/fuzzers-love-assertions/.

      4. -
      5. This syntax is based on the hspec-snap package, which I chose because I’m familiar with it (and wrote it). The create line is from some not-yet-integrated-or-released, at least at time of publishing, work to add factory support to the library (sorry!). With that said, the advice should hold no matter what you’re doing.

      6. -
      7. See Wadler’s “Theorems for Free”, 1989.

      8. +
      9. For those who haven’t used Quickcheck, it allows you to specify properties that a function should satisfy, and possibly a way to generate random values of the input type (if your input is a standard type, it already knows how to do this), and it will generate some number of inputs and verify that the property holds for all of them.↩︎

      10. +
      11. See, for example, www.squarefree.com/2014/02/03/fuzzers-love-assertions/.↩︎

      12. +
      13. This syntax is based on the hspec-snap package, which I chose because I’m familiar with it (and wrote it). The create line is from some not-yet-integrated-or-released, at least at time of publishing, work to add factory support to the library (sorry!). With that said, the advice should hold no matter what you’re doing.↩︎

      14. +
      15. See Wadler’s “Theorems for Free”, 1989.↩︎

      diff --git a/_site/essays/2018-01-01-home-backups.html b/_site/essays/2018-01-01-home-backups.html index 70d43da..f41c0a6 100644 --- a/_site/essays/2018-01-01-home-backups.html +++ b/_site/essays/2018-01-01-home-backups.html @@ -77,8 +77,8 @@

      Software

      Everything else was pretty much smooth sailing (though, as per usual, the initial backup is quite slow. The Raspberry Pi 3 processor is certainly much faster than previous Raspberry Pis, and fast enough for this purpose, but it definitely still has to work hard! And my residential cable upstream is not all that impressive. After a couple days though, the initial backup will complete!).

      Periodic backups run with the same command, and intermediate ones can be pruned away as well (I use duplicacy prune -keep 30:180 -keep 7:30 -keep 1:1, run after my daily backup, to keep monthly backups beyond 6 months, weekly beyond 1 month, and daily below that. I have a cron job that runs the backup daily, so the last is not strictly necessary, but if I do manual backups it’ll clean them up over time. Since I pretty much never delete files that are put into this archive, pruning isn’t really about saving space, as barring some error on the server the latest backup should contain every file, but it is nice to have the list of snapshots be more manageable).

      To restore from total loss of the Pi, you just need to put the config file above into .duplicacy/preferences relative to the current directory on any machine and you can run duplicacy restore. You can also grab individual files (which I tested on a different machine; I haven’t tested restoring a full backup) by creating the above mentioned file and then running duplicacy list -files -r N (where N is the snapshot you want to get the file from; run duplicacy list to find which one you want) and then to get a file duplicacy cat -r N path/to/file > where/to/put/it.

      -
    • I’m still working out how to detect errors in the hard drives automatically. I can see them manually by running sudo btrfs device stats /mntpoint (which I do periodically). When this shows that a drive is failing (i.e., read/write errors), add a new drive to the spare enclosure, format it, and then run sudo btrfs replace start -f N /dev/sdX /mntpoint where N is the number of the device that is failing (when you run sudo btrfs fi show /mntpoint) and /dev/sdX is the new drive. To check for and correct errors in the file system (not the underlying drive), run sudo btrfs scrub start /mntpoint. This will run in the background; if you care you can check the status with sudo btrfs scrub status /mntpoint. Based on recommendations, I have the scrub process run monthly via a cron job.

    • -
    • If you want to expand the capacity of the disks, replace the drives as if they failed (see previous bullet) and then run sudo btrfs fi resize N:max /mntpoint for each N (run sudo btrfs fi show to see what your dev ids are). When you replace them, they stay at the same capacity – this resize expands the filesystem to the full device. As I mentioned earlier, I did this to replace 1TB WD Green drives with 2TB WD Red drives (so I replaced one, then the next, then did the resize on both).

    • +
    • I’m still working out how to detect errors in the hard drives automatically. I can see them manually by running sudo btrfs device stats /mntpoint (which I do periodically). When this shows that a drive is failing (i.e., read/write errors), add a new drive to the spare enclosure, format it, and then run sudo btrfs replace start -f N /dev/sdX /mntpoint where N is the number of the device that is failing (when you run sudo btrfs fi show /mntpoint) and /dev/sdX is the new drive. To check for and correct errors in the file system (not the underlying drive), run sudo btrfs scrub start /mntpoint. This will run in the background; if you care you can check the status with sudo btrfs scrub status /mntpoint. Based on recommendations, I have the scrub process run monthly via a cron job.

    • +
    • If you want to expand the capacity of the disks, replace the drives as if they failed (see previous bullet) and then run sudo btrfs fi resize N:max /mntpoint for each N (run sudo btrfs fi show to see what your dev ids are). When you replace them, they stay at the same capacity – this resize expands the filesystem to the full device. As I mentioned earlier, I did this to replace 1TB WD Green drives with 2TB WD Red drives (so I replaced one, then the next, then did the resize on both).

    • For tech people (i.e., who are comfortable with scp), this setup is enough – just get files onto the server, into the right directory, and it’ll be all set. For less tech-savvy people, you can install samba on the raspberry pi and then set up a share like the following (put this at the bottom of /etc/samba/smb.conf):

      [sharename]
       comment = Descriptive name
      diff --git a/_site/essays/2018-01-16-how-to-prove-a-compiler-correct.html b/_site/essays/2018-01-16-how-to-prove-a-compiler-correct.html
      index 36c323a..40d42ea 100644
      --- a/_site/essays/2018-01-16-how-to-prove-a-compiler-correct.html
      +++ b/_site/essays/2018-01-16-how-to-prove-a-compiler-correct.html
      @@ -37,36 +37,36 @@ 

      How to prove a compiler correct

The intended audience is: people who know what compilers are (and may have implemented them!) but aren’t sure what it means to prove one correct!

-

All the code for this post, along with instructions to get it running, is in the repository https://github.com/dbp/howtoproveacompiler. If you have any trouble getting it going, open an issue on that repository.

+

All the code for this post, along with instructions to get it running, is in the repository https://github.com/dbp/howtoproveacompiler. If you have any trouble getting it going, open an issue on that repository.

DSL & Compiler

To make this simple, my source language is arithmetic expressions with adding, subtraction, and multiplication. I represent this as an explicit data structure in Haskell:

- +
data Arith = Num Int
+           | Plus Arith Arith
+           | Minus Arith Arith
+           | Times Arith Arith

And a program is an Arith. For example, the source expression “1 + (2 * 4)” is represented as Plus 1 (Times 2 4). The target of this is a sequence of instructions for a stack machine. The idea of the stack machine is that there is a stack of values that can be used by instructions. The target language expressions are:

- +
data StackOp = SNum Int
+             | SPlus
+             | SMinus
+             | STimes

And a program is a [StackOp]. For example, the previous example “1 + (2 * 4)” could be represented as [SNum 1, SNum 2, SNum 4, STimes, SPlus]. The idea is that a number evaluates to pushing it onto the stack and plus/times evaluate by popping two numbers off the stack and pushing the sum/product respectively back on. But we can make this concrete by writing an eval function that takes an initial stack (which will probably be empty), a program, and either produces an integer (the top of the stack after all the instructions run) or an error (which, for debugging sake, is the state of the stack and rest of the program when it got stuck).

- +
eval :: [Int] -> [StackOp] -> Either ([Int], [StackOp]) Int
+eval (n:_) []               = Right n
+eval ns (SNum n:xs)         = eval (n:ns) xs
+eval (n1:n2:ns) (SPlus:xs)  = eval (n1+n2:ns) xs
+eval (n1:n2:ns) (SMinus:xs) = eval (n1-n2:ns) xs
+eval (n1:n2:ns) (STimes:xs) = eval (n1*n2:ns) xs
+eval vals instrs            = Left (vals, instrs)

Now that we have our source and target language, and know how the target works, we can implement our compiler. Part of why this is a good small example is that the compiler is very simple!

- -

The cases for plus/minus/times are the cases that are slightly non-obvious, because they can contain further recursive expressions, but if you think about what the eval function is doing, once the stack machine finishes evaluating everything that a2 compiled to, the number that the left branch evaluated to should be on the top of the stack. Then once it finishes evaluating what a1 compiles to the number that the right branch evaluated to should be on the top of the stack (the reversal is so that they are in the right order when popped off). This means that evaluating e.g. SPlus will put the sum on the top of the stack, as expected. That’s a pretty informal argument about correctness, but we’ll have a chance to get more formal later.

+
compile :: Arith -> [StackOp]
+compile (Num n)       = [SNum n]
+compile (Plus a1 a2)  = compile a2 ++ compile a1 ++ [SPlus]
+compile (Minus a1 a2) = compile a2 ++ compile a1 ++ [SMinus]
+compile (Times a1 a2) = compile a2 ++ compile a1 ++ [STimes]
+

The cases for plus/minus/times are the cases that are slightly non-obvious, because they can contain further recursive expressions, but if you think about what the eval function is doing, once the stack machine finishes evaluating everything that a2 compiled to, the number that the left branch evaluated to should be on the top of the stack. Then once it finishes evaluating what a1 compiles to the number that the right branch evaluated to should be on the top of the stack (the reversal is so that they are in the right order when popped off). This means that evaluating e.g. SPlus will put the sum on the top of the stack, as expected. That’s a pretty informal argument about correctness, but we’ll have a chance to get more formal later.

Formalizing

-

Now that we have a Haskell compiler, we want to prove it correct! So what do we do? First, we want to convert this to Coq using the hs-to-coq tool. There are full instructions at https://github.com/dbp/howtoproveacompiler, but the main command that will convert src/Compiler.hs to src/Compiler.v:

+

Now that we have a Haskell compiler, we want to prove it correct! So what do we do? First, we want to convert this to Coq using the hs-to-coq tool. There are full instructions at https://github.com/dbp/howtoproveacompiler, but the main command that will convert src/Compiler.hs to src/Compiler.v:

STACK_YAML=hs-to-coq/stack.yaml stack exec hs-to-coq -- -o src/ src/Compiler.hs -e hs-to-coq/base/edits

You can now build the Coq code with

make
@@ -77,11 +77,11 @@

Proving things

The issue that’s immediately apparent is that we don’t actually have a way of directly evaluating the source expression. The only thing we can do with our source expression is compile it, but if we do that, any statement we get has the behavior of the compiler baked into it (so if the compiler is wrong, we will just be proving stuff about our wrong compiler).

More philosophically, what does it even mean that the compiler is wrong? For it to be wrong, there has to be some external specification (likely, just in our head at this point) about what it was supposed to do, or in this case, about the behavior of the source language that the compiler was supposed to faithfully preserve. To prove things formally, we need to write that behavior down.

So we should add this function to our Haskell source. In a non-trivial DSL, this may be a significant part of the formalization process, but it is also incredibly important, because this is the part where you are actually specifying exactly what the source DSL means (otherwise, the only “meaning” it has is whatever the compiler happens to do, bugs and all). In this example, we can write this function as:

- +
eval' :: Arith -> Int
+eval' (Num n)       = n
+eval' (Plus a1 a2)  = (eval' a1) + (eval' a2)
+eval' (Minus a1 a2) = (eval' a1) - (eval' a2)
+eval' (Times a1 a2) = (eval' a1) * (eval' a2)

And we can re-run hs-to-coq to get it added to our Coq development. We can now formally state the theorem we want to prove as:

Theorem compiler_correctness : forall a : Arith,
   eval nil (compile a) = Data.Either.Right (eval' a).
@@ -134,12 +134,12 @@

Proving things

end = eval (i :: s) xs

Which will go away once we break apart the list s and simplify (if you look carefully, it has the same thing in all three branches of the match). There are (at least) a couple approaches to this:

    -
  1. We could just do it manually: destruct s; simpl; eauto; destruct s; simpl; eauto. But it shows up multiple times in the proof, and that’s a mess and someone reading the proof script may be confused what is going on.
  2. +
  3. We could just do it manually: destruct s; simpl; eauto; destruct s; simpl; eauto. But it shows up multiple times in the proof, and that’s a mess and someone reading the proof script may be confused what is going on.

  4. We could write a tactic for the same thing:

    try match goal with
          |[l : list _ |- _ ] => solve [destruct l; simpl; eauto; destruct l; simpl; eauto]
         end.
    -This has the advantage that it doesn’t depend on the name, you can call it whenever (it won’t do anything if it isn’t able to discharge the goal), but where to call it is still somewhat messy (as it’ll be in the middle of the proofs). We could hint using this tactic (using Hint Extern) to have it handled automatically, but I generally dislike adding global hints for tactics (unless there is a very good reason!), as it can slow things down and make understanding why proofs worked more difficult.
  5. +

    This has the advantage that it doesn’t depend on the name, you can call it whenever (it won’t do anything if it isn’t able to discharge the goal), but where to call it is still somewhat messy (as it’ll be in the middle of the proofs). We could hint using this tactic (using Hint Extern) to have it handled automatically, but I generally dislike adding global hints for tactics (unless there is a very good reason!), as it can slow things down and make understanding why proofs worked more difficult.

  6. We can also write lemmas for these. There are actually two cases that come up, and both are solved easily:

    Lemma list_pointless_split : forall A B:Type, forall l : list A, forall x : B,
         match l with | nil => x | (_ :: _)%list => x end = x.
    @@ -174,41 +174,41 @@ 

    Proving things

    Qed.

    We now have a proof that the compiler that we wrote in Haskell is correct, insofar as it preserves the meaning expressed in the source-level eval' function to the meaning in the eval function in the target. This isn’t, of course, the only theorem you could prove! Another one that would be interesting would be that no compiled program ever got stuck (i.e., never produces a Left error).

    -

    As stated at the top of the post, all the code in this post is available at https://github.com/dbp/howtoproveacompiler. If you are looking for more, check out Xavier Leroy’s Oregon Programming Languages Summer School Lectures (videos are here, scroll down to find them).

    +

    As stated at the top of the post, all the code in this post is available at https://github.com/dbp/howtoproveacompiler. If you are looking for more, check out Xavier Leroy’s Oregon Programming Languages Summer School Lectures (videos are here, scroll down to find them).


    Thanks to current and former PRL members, in particular Gabriel Scherer and William Bowman, for providing useful feedback on drafts of this post.



    Addendum: termination

    This example was so tiny we haven’t run into something that will be really common: imagine instead of the compile function shown above:

    - +
    compile :: Arith -> [StackOp]
    +compile (Num n)       = [SNum n]
    +compile (Plus a1 a2)  = compile a2 ++ compile a1 ++ [SPlus]
    +compile (Minus a1 a2) = compile a2 ++ compile a1 ++ [SMinus]
    +compile (Times a1 a2) = compile a2 ++ compile a1 ++ [STimes]

    We instead wanted to take [Arith]. This would still work, and would result in the list of results stored on the stack (so probably you would want to change eval to print everything that was on the stack at the end, not just the top). If you wrote this compile:

    - +
    compile :: [Arith] -> [StackOp]
    +compile []               = []
    +compile (Num n:xs)       = SNum n : compile xs
    +compile (Plus a1 a2:xs)  = compile [a2] ++ compile [a1] ++ SPlus : compile xs
    +compile (Minus a1 a2:xs) = compile [a2] ++ compile [a1] ++ SMinus : compile xs
    +compile (Times a1 a2:xs) = compile [a2] ++ compile [a1] ++ STimes : compile xs

    You would get an error when you try to compile the output of hs-to-coq! Coq says that the compile function is not terminating!

    This is good introduction into a (major) difference between Haskell and Coq: in Haskell, any term can run forever. For a programming language, this is an inconvenience, as you can end up with code that is perhaps difficult to debug if you didn’t want it to (it’s also useful if you happen to be writing a server that is supposed to run forever!). For a language intended to be used to prove things, this feature would be a non-starter, as it would make the logic unsound. The issue is that in Coq, (at a high level), a type is a theorem and the term that inhabits the type is a proof of that theorem. But in Haskell, you can write:

    - +
    anything :: a
    +anything = anything

    i.e., for any type, you can provide a term with that type — that is, the term that simply never returns. If that were possible in Coq, you could prove any theorem, and the entire logic would be useless (or unsound, which technically means you can prove logical falsehood, but since falsehood allows you to prove anything, it’s the same thing).

    Returning to this (only slightly contrived) program, it isn’t actually that our program runs forever (and if you do want to prove things about programs that do, you’ll need to do much more work!), just that Coq can’t tell that it doesn’t. In general, it’s not possible to tell this for sufficiently powerful languages (this is what the Halting problem says for Turing machines, and thus holds for anything with similar expressivity). What Coq relies on is that some argument is inductively defined (which we have: both lists and Arith expressions) and that all recursive calls are to structurally smaller parts of the arguments. If that holds, we are guaranteed to terminate, as inductive types cannot be infinite (note: unlike Haskell, Coq is not lazy, which is another difference, but we’ll ignore that). If we look at our recursive call, we called compile with [a1]. While a1 is structurally smaller, we put that inside a list and used that instead, which thus violates what Coq was expecting.

    There are various ways around this (like adding another argument whose purpose is to track termination, or adding more sophisticated measurements), but there is another option: adding a helper function compile' that does what our original compile did: compiles a single Arith. The intuition that leads to trying this is that in this new compile we are decreasing on both the length of the list and the structure of the Arith, but we are trying to do both at the same time. By separating things out, we can eliminate the issue:

    - +
    compile :: [Arith] -> [StackOp]
    +compile []     = []
    +compile (x:xs) = compile' x ++ compile xs
    +
    +compile' :: Arith -> [StackOp]
    +compile' (Num n)       = [SNum n]
    +compile' (Plus a1 a2)  = compile' a2 ++ compile' a1 ++ [SPlus]
    +compile' (Minus a1 a2) = compile' a2 ++ compile' a1 ++ [SMinus]
    +compile' (Times a1 a2) = compile' a2 ++ compile' a1 ++ [STimes]

    Addendum: do the proofs mean anything?

    There are limitations to the approach outlined in this post. In particular, what hs-to-coq does is syntactically translate similar constructs from Haskell to Coq, but constructs that have similar syntax don’t necessarily have similar semantics. For example, data types in Haskell are lazy and thus infinite, whereas inductive types in Coq are definitely not infinite. This means that the proofs that you have made are about the version of the program as represented in Coq, not the original program. There are ways to make proofs about the precise semantics of a language (e.g., Arthur Charguéraud’s CFML), but on the other hand, program extraction (which is a core part of verified compilers like CompCert) has the same issue that the program being run has been converted via a similar process as hs-to-coq (from Coq to OCaml the distance is less than from Coq to Haskell, but in principle there are similar issues).

    And yet, I think that hs-to-coq has a real practical use, in particular when you have an existing Haskell codebase that you want to verify. You likely will need to refactor it to have hs-to-coq work, but that refactoring can be done within Haskell, while the program continues to work (and your existing tests continue to pass, etc). Eventually, once you finish conversion, you may decide that it makes more sense to take the converted version as ground truth (thus, you run hs-to-coq and throw out the original, relying on extraction after that point for an executable), but being able to do this gradual migration (from full Haskell to essentially a Gallina-like dialect of Haskell) seems incredibly valuable.

    diff --git a/_site/essays/2018-04-19-how-to-prove-a-compiler-fully-abstract.html b/_site/essays/2018-04-19-how-to-prove-a-compiler-fully-abstract.html index 21b63f9..40aa20f 100644 --- a/_site/essays/2018-04-19-how-to-prove-a-compiler-fully-abstract.html +++ b/_site/essays/2018-04-19-how-to-prove-a-compiler-fully-abstract.html @@ -30,7 +30,7 @@

    How to prove a compiler fully abstract

    A compiler that preserves and reflects equivalences is called a fully abstract compiler. This is a powerful property for a compiler that is different (but complimentary) to the more common notion of compiler correctness. So what does it mean, and how do we prove it?

    -

    All the code for this post, along with instructions to get it running, is in the repository https://github.com/dbp/howtoprovefullabstraction. If you have any trouble getting it going, please open an issue on that repository and I’ll help figure it out with you.

    +

    All the code for this post, along with instructions to get it running, is in the repository https://github.com/dbp/howtoprovefullabstraction. If you have any trouble getting it going, please open an issue on that repository and I’ll help figure it out with you.

    Both equivalence preservation and equivalence reflection (what make a compiler fully abstract) relate to how the compiler treats program equivalences, which in this case I’m considering observational equivalence. Two programs p1 and p2 are observationally equivalent if you cannot tell any difference between the result of running them, including any side effects.

    For example, if the only observable behavior about programs in your language that you can make is see what output they print, this means that the two programs that print the same output, even if they are implemented in completely different ways are equivalent. Observational equivalence is extremely useful, especially for compilers, which when optimizing may change how a particular program is implemented but should not change the observable behavior. But it is also useful for programmers, who commonly refactor code, which means they change how the code is implemented (to make it easier to maintain, or extend, or better support some future addition), without changing any functionality. Refactoring is an equivalence-preserving transformation. We write observational equivalence on programs formally as:

    @@ -41,9 +41,9 @@

    Contextual equivalence

    As an example, if we consider a simple functional language and consider our components to be individual expressions, it should be clear that these two expressions are contextually equivalent:

    λx. x * 2 ≈ λx. x + x

    While they are implemented differently, no matter how they are used, the result will always be the same (as the only thing we can do with these functions is call them on an argument, and when we do, each will double its argument, even though in a different way). It’s important to note that contextual equivalence always depends on what is observable within the language. For example, in Javascript, you can reflect over the syntax of functions, and so the above two functions, written as:

    - +
    function(x){ return x * 2; } ≈ function(x){ return x + x; }

    Would not be contextually equivalent, because there exists a program context that can distinguish them. What is that context? Well, if we imagine plugging in the functions above into the “hole” written as [·] below, the result will be different for the two functions! This is because the toString() method on functions in Javascript returns the source code of the function.

    - +
    ([·]).toString()

    From the perspective of optimizations, this is troublesome, as you can’t be sure that a transformation between the above programs was safe (assuming one was much faster than the other), as there could be code that relied upon the particular way that the source code had been written. There are more complicated things you can do (like optimizing speculatively and falling back to unoptimized versions when reflection was needed). In general though, languages with that kind of reflection are both harder to write fast compilers for and harder to write secure compilers for, and while it’s not the topic of this post, it’s always important to know what you mean by contextual equivalence, which usually means: what can program contexts determine about components.

    Part 1. Equivalence reflection

    With that in mind, what does equivalence reflection and equivalence preservation for a compiler mean? Let’s start with equivalence reflection, as that’s the property that all your correct compilers already have. Equivalence reflection means that if two components, when compiled, are equivalent, then the source components must have been equivalent. We can write this more formally as (where we write s ↠ t to mean a component s is compiled to t):

    @@ -276,7 +276,7 @@

    Concre

    So next time you see a result about a correct (or even hoped to be correct) compiler, ask if it is fully abstract! And if it’s not, are the violations of equivalences something that could be exploited? Or something that would invalidate optimizations?

    Some recent conference publications include Devriese et al, Fully-abstract compilation by approximate back-translation published in POPL’16 and New at al, Fully Abstract Compilation via Universal Embedding, published in ICFP’16.

    -

    As stated at the top of the post, all the code in this post is available at https://github.com/dbp/howtoprovefullabstraction. If you have any trouble getting it going, please open an issue on that repository and I’ll help figure it out with you.

    +

    As stated at the top of the post, all the code in this post is available at https://github.com/dbp/howtoprovefullabstraction. If you have any trouble getting it going, please open an issue on that repository and I’ll help figure it out with you.

    diff --git a/_site/index.html b/_site/index.html index d5c8f22..8e31064 100644 --- a/_site/index.html +++ b/_site/index.html @@ -32,6 +32,10 @@

    Contact

    The easiest way to get in touch is via email: dbp@dbpmail.net. Note that if you have another email address for me, it will probably work as well. I’m currently located in Boston, MA.

    Publications

    +Semantic Soundness for Language Interoperability. +
    +Daniel Patterson, Noble Mushtak, Andrew Wagner, Amal Ahmed.
    DRAFT. PDF. +
    Foreign Function Typing: Semantic Type Soundness for FFIs.
    Daniel Patterson and Amal Ahmed.
    WGT 2020. 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zoB|^_ooN)FXk;^9oYSr0Yfv$@(UT8uP%FndZQD;w-9LL%C#2OMRnHuX%qvE8TBgMv z!3-}+70)q?eREWaEaq=KAezL!+l89H^Hj2V^AzLe@a)GDRwTB7{t(TP3;+V5Dx?_=w_VloP)u;PoKk`-S_kR#rj7X8+#%UeL z(C~aw^P_i%q$A2Zi9SQNHcFyZLc&oi+uL9p7mJW zrn&zZ((4rxAA)bL(HFQ2Y$Zs#7AghUquFA}izWs5yN*2|KTb7(a#U#x3s>&rG62cx zCpQ3FD}ufTdoeYHex&ULfdX~CJ7_zI2}1hTT)j-;iM~qH6LbSxKaBJJf1i6Do%9`? X-ZA compiler that preserves and reflects equivalences is called a fully abstract compiler. This is a powerful property for a compiler that is different (but complimentary) to the more common notion of compiler correctness. So what does it mean, and how do we prove it?

    -

    All the code for this post, along with instructions to get it running, is in the repository https://github.com/dbp/howtoprovefullabstraction. If you have any trouble getting it going, please open an issue on that repository and I’ll help figure it out with you.

    +

    All the code for this post, along with instructions to get it running, is in the repository https://github.com/dbp/howtoprovefullabstraction. If you have any trouble getting it going, please open an issue on that repository and I’ll help figure it out with you.

    Both equivalence preservation and equivalence reflection (what make a compiler fully abstract) relate to how the compiler treats program equivalences, which in this case I’m considering observational equivalence. Two programs p1 and p2 are observationally equivalent if you cannot tell any difference between the result of running them, including any side effects.

    For example, if the only observable behavior about programs in your language that you can make is see what output they print, this means that the two programs that print the same output, even if they are implemented in completely different ways are equivalent. Observational equivalence is extremely useful, especially for compilers, which when optimizing may change how a particular program is implemented but should not change the observable behavior. But it is also useful for programmers, who commonly refactor code, which means they change how the code is implemented (to make it easier to maintain, or extend, or better support some future addition), without changing any functionality. Refactoring is an equivalence-preserving transformation. We write observational equivalence on programs formally as:

    @@ -28,9 +28,9 @@

    As an example, if we consider a simple functional language and consider our components to be individual expressions, it should be clear that these two expressions are contextually equivalent:

    λx. x * 2 ≈ λx. x + x

    While they are implemented differently, no matter how they are used, the result will always be the same (as the only thing we can do with these functions is call them on an argument, and when we do, each will double its argument, even though in a different way). It’s important to note that contextual equivalence always depends on what is observable within the language. For example, in Javascript, you can reflect over the syntax of functions, and so the above two functions, written as:

    - +
    function(x){ return x * 2; } ≈ function(x){ return x + x; }

    Would not be contextually equivalent, because there exists a program context that can distinguish them. What is that context? Well, if we imagine plugging in the functions above into the “hole” written as [·] below, the result will be different for the two functions! This is because the toString() method on functions in Javascript returns the source code of the function.

    - +
    ([·]).toString()

    From the perspective of optimizations, this is troublesome, as you can’t be sure that a transformation between the above programs was safe (assuming one was much faster than the other), as there could be code that relied upon the particular way that the source code had been written. There are more complicated things you can do (like optimizing speculatively and falling back to unoptimized versions when reflection was needed). In general though, languages with that kind of reflection are both harder to write fast compilers for and harder to write secure compilers for, and while it’s not the topic of this post, it’s always important to know what you mean by contextual equivalence, which usually means: what can program contexts determine about components.

    Part 1. Equivalence reflection

    With that in mind, what does equivalence reflection and equivalence preservation for a compiler mean? Let’s start with equivalence reflection, as that’s the property that all your correct compilers already have. Equivalence reflection means that if two components, when compiled, are equivalent, then the source components must have been equivalent. We can write this more formally as (where we write s ↠ t to mean a component s is compiled to t):

    @@ -263,7 +263,7 @@ Qed.

    So next time you see a result about a correct (or even hoped to be correct) compiler, ask if it is fully abstract! And if it’s not, are the violations of equivalences something that could be exploited? Or something that would invalidate optimizations?

    Some recent conference publications include Devriese et al, Fully-abstract compilation by approximate back-translation published in POPL’16 and New at al, Fully Abstract Compilation via Universal Embedding, published in ICFP’16.

    -

    As stated at the top of the post, all the code in this post is available at https://github.com/dbp/howtoprovefullabstraction. If you have any trouble getting it going, please open an issue on that repository and I’ll help figure it out with you.

    +

    As stated at the top of the post, all the code in this post is available at https://github.com/dbp/howtoprovefullabstraction. If you have any trouble getting it going, please open an issue on that repository and I’ll help figure it out with you.

    ]]> Thu, 19 Apr 2018 00:00:00 UT @@ -286,36 +286,36 @@ Qed.

The intended audience is: people who know what compilers are (and may have implemented them!) but aren’t sure what it means to prove one correct!

-

All the code for this post, along with instructions to get it running, is in the repository https://github.com/dbp/howtoproveacompiler. If you have any trouble getting it going, open an issue on that repository.

+

All the code for this post, along with instructions to get it running, is in the repository https://github.com/dbp/howtoproveacompiler. If you have any trouble getting it going, open an issue on that repository.

DSL & Compiler

To make this simple, my source language is arithmetic expressions with adding, subtraction, and multiplication. I represent this as an explicit data structure in Haskell:

- +
data Arith = Num Int
+           | Plus Arith Arith
+           | Minus Arith Arith
+           | Times Arith Arith

And a program is an Arith. For example, the source expression “1 + (2 * 4)” is represented as Plus 1 (Times 2 4). The target of this is a sequence of instructions for a stack machine. The idea of the stack machine is that there is a stack of values that can be used by instructions. The target language expressions are:

- +
data StackOp = SNum Int
+             | SPlus
+             | SMinus
+             | STimes

And a program is a [StackOp]. For example, the previous example “1 + (2 * 4)” could be represented as [SNum 1, SNum 2, SNum 4, STimes, SPlus]. The idea is that a number evaluates to pushing it onto the stack and plus/times evaluate by popping two numbers off the stack and pushing the sum/product respectively back on. But we can make this concrete by writing an eval function that takes an initial stack (which will probably be empty), a program, and either produces an integer (the top of the stack after all the instructions run) or an error (which, for debugging sake, is the state of the stack and rest of the program when it got stuck).

- +
eval :: [Int] -> [StackOp] -> Either ([Int], [StackOp]) Int
+eval (n:_) []               = Right n
+eval ns (SNum n:xs)         = eval (n:ns) xs
+eval (n1:n2:ns) (SPlus:xs)  = eval (n1+n2:ns) xs
+eval (n1:n2:ns) (SMinus:xs) = eval (n1-n2:ns) xs
+eval (n1:n2:ns) (STimes:xs) = eval (n1*n2:ns) xs
+eval vals instrs            = Left (vals, instrs)

Now that we have our source and target language, and know how the target works, we can implement our compiler. Part of why this is a good small example is that the compiler is very simple!

- -

The cases for plus/minus/times are the cases that are slightly non-obvious, because they can contain further recursive expressions, but if you think about what the eval function is doing, once the stack machine finishes evaluating everything that a2 compiled to, the number that the left branch evaluated to should be on the top of the stack. Then once it finishes evaluating what a1 compiles to the number that the right branch evaluated to should be on the top of the stack (the reversal is so that they are in the right order when popped off). This means that evaluating e.g. SPlus will put the sum on the top of the stack, as expected. That’s a pretty informal argument about correctness, but we’ll have a chance to get more formal later.

+
compile :: Arith -> [StackOp]
+compile (Num n)       = [SNum n]
+compile (Plus a1 a2)  = compile a2 ++ compile a1 ++ [SPlus]
+compile (Minus a1 a2) = compile a2 ++ compile a1 ++ [SMinus]
+compile (Times a1 a2) = compile a2 ++ compile a1 ++ [STimes]
+

The cases for plus/minus/times are the cases that are slightly non-obvious, because they can contain further recursive expressions, but if you think about what the eval function is doing, once the stack machine finishes evaluating everything that a2 compiled to, the number that the left branch evaluated to should be on the top of the stack. Then once it finishes evaluating what a1 compiles to the number that the right branch evaluated to should be on the top of the stack (the reversal is so that they are in the right order when popped off). This means that evaluating e.g. SPlus will put the sum on the top of the stack, as expected. That’s a pretty informal argument about correctness, but we’ll have a chance to get more formal later.

Formalizing

-

Now that we have a Haskell compiler, we want to prove it correct! So what do we do? First, we want to convert this to Coq using the hs-to-coq tool. There are full instructions at https://github.com/dbp/howtoproveacompiler, but the main command that will convert src/Compiler.hs to src/Compiler.v:

+

Now that we have a Haskell compiler, we want to prove it correct! So what do we do? First, we want to convert this to Coq using the hs-to-coq tool. There are full instructions at https://github.com/dbp/howtoproveacompiler, but the main command that will convert src/Compiler.hs to src/Compiler.v:

STACK_YAML=hs-to-coq/stack.yaml stack exec hs-to-coq -- -o src/ src/Compiler.hs -e hs-to-coq/base/edits

You can now build the Coq code with

make
@@ -326,11 +326,11 @@ Qed.

The issue that’s immediately apparent is that we don’t actually have a way of directly evaluating the source expression. The only thing we can do with our source expression is compile it, but if we do that, any statement we get has the behavior of the compiler baked into it (so if the compiler is wrong, we will just be proving stuff about our wrong compiler).

More philosophically, what does it even mean that the compiler is wrong? For it to be wrong, there has to be some external specification (likely, just in our head at this point) about what it was supposed to do, or in this case, about the behavior of the source language that the compiler was supposed to faithfully preserve. To prove things formally, we need to write that behavior down.

So we should add this function to our Haskell source. In a non-trivial DSL, this may be a significant part of the formalization process, but it is also incredibly important, because this is the part where you are actually specifying exactly what the source DSL means (otherwise, the only “meaning” it has is whatever the compiler happens to do, bugs and all). In this example, we can write this function as:

- +
eval' :: Arith -> Int
+eval' (Num n)       = n
+eval' (Plus a1 a2)  = (eval' a1) + (eval' a2)
+eval' (Minus a1 a2) = (eval' a1) - (eval' a2)
+eval' (Times a1 a2) = (eval' a1) * (eval' a2)

And we can re-run hs-to-coq to get it added to our Coq development. We can now formally state the theorem we want to prove as:

Theorem compiler_correctness : forall a : Arith,
   eval nil (compile a) = Data.Either.Right (eval' a).
@@ -383,12 +383,12 @@ eval ((eval' a1 + eval' a2)%Z :: nil) xs end = eval (i :: s) xs

Which will go away once we break apart the list s and simplify (if you look carefully, it has the same thing in all three branches of the match). There are (at least) a couple approaches to this:

    -
  1. We could just do it manually: destruct s; simpl; eauto; destruct s; simpl; eauto. But it shows up multiple times in the proof, and that’s a mess and someone reading the proof script may be confused what is going on.
  2. +
  3. We could just do it manually: destruct s; simpl; eauto; destruct s; simpl; eauto. But it shows up multiple times in the proof, and that’s a mess and someone reading the proof script may be confused what is going on.

  4. We could write a tactic for the same thing:

    try match goal with
          |[l : list _ |- _ ] => solve [destruct l; simpl; eauto; destruct l; simpl; eauto]
         end.
    -This has the advantage that it doesn’t depend on the name, you can call it whenever (it won’t do anything if it isn’t able to discharge the goal), but where to call it is still somewhat messy (as it’ll be in the middle of the proofs). We could hint using this tactic (using Hint Extern) to have it handled automatically, but I generally dislike adding global hints for tactics (unless there is a very good reason!), as it can slow things down and make understanding why proofs worked more difficult.
  5. +

    This has the advantage that it doesn’t depend on the name, you can call it whenever (it won’t do anything if it isn’t able to discharge the goal), but where to call it is still somewhat messy (as it’ll be in the middle of the proofs). We could hint using this tactic (using Hint Extern) to have it handled automatically, but I generally dislike adding global hints for tactics (unless there is a very good reason!), as it can slow things down and make understanding why proofs worked more difficult.

  6. We can also write lemmas for these. There are actually two cases that come up, and both are solved easily:

    Lemma list_pointless_split : forall A B:Type, forall l : list A, forall x : B,
         match l with | nil => x | (_ :: _)%list => x end = x.
    @@ -423,41 +423,41 @@ Proof.
     Qed.

    We now have a proof that the compiler that we wrote in Haskell is correct, insofar as it preserves the meaning expressed in the source-level eval' function to the meaning in the eval function in the target. This isn’t, of course, the only theorem you could prove! Another one that would be interesting would be that no compiled program ever got stuck (i.e., never produces a Left error).

    -

    As stated at the top of the post, all the code in this post is available at https://github.com/dbp/howtoproveacompiler. If you are looking for more, check out Xavier Leroy’s Oregon Programming Languages Summer School Lectures (videos are here, scroll down to find them).

    +

    As stated at the top of the post, all the code in this post is available at https://github.com/dbp/howtoproveacompiler. If you are looking for more, check out Xavier Leroy’s Oregon Programming Languages Summer School Lectures (videos are here, scroll down to find them).


    Thanks to current and former PRL members, in particular Gabriel Scherer and William Bowman, for providing useful feedback on drafts of this post.



    Addendum: termination

    This example was so tiny we haven’t run into something that will be really common: imagine instead of the compile function shown above:

    - +
    compile :: Arith -> [StackOp]
    +compile (Num n)       = [SNum n]
    +compile (Plus a1 a2)  = compile a2 ++ compile a1 ++ [SPlus]
    +compile (Minus a1 a2) = compile a2 ++ compile a1 ++ [SMinus]
    +compile (Times a1 a2) = compile a2 ++ compile a1 ++ [STimes]

    We instead wanted to take [Arith]. This would still work, and would result in the list of results stored on the stack (so probably you would want to change eval to print everything that was on the stack at the end, not just the top). If you wrote this compile:

    - +
    compile :: [Arith] -> [StackOp]
    +compile []               = []
    +compile (Num n:xs)       = SNum n : compile xs
    +compile (Plus a1 a2:xs)  = compile [a2] ++ compile [a1] ++ SPlus : compile xs
    +compile (Minus a1 a2:xs) = compile [a2] ++ compile [a1] ++ SMinus : compile xs
    +compile (Times a1 a2:xs) = compile [a2] ++ compile [a1] ++ STimes : compile xs

    You would get an error when you try to compile the output of hs-to-coq! Coq says that the compile function is not terminating!

    This is good introduction into a (major) difference between Haskell and Coq: in Haskell, any term can run forever. For a programming language, this is an inconvenience, as you can end up with code that is perhaps difficult to debug if you didn’t want it to (it’s also useful if you happen to be writing a server that is supposed to run forever!). For a language intended to be used to prove things, this feature would be a non-starter, as it would make the logic unsound. The issue is that in Coq, (at a high level), a type is a theorem and the term that inhabits the type is a proof of that theorem. But in Haskell, you can write:

    - +
    anything :: a
    +anything = anything

    i.e., for any type, you can provide a term with that type — that is, the term that simply never returns. If that were possible in Coq, you could prove any theorem, and the entire logic would be useless (or unsound, which technically means you can prove logical falsehood, but since falsehood allows you to prove anything, it’s the same thing).

    Returning to this (only slightly contrived) program, it isn’t actually that our program runs forever (and if you do want to prove things about programs that do, you’ll need to do much more work!), just that Coq can’t tell that it doesn’t. In general, it’s not possible to tell this for sufficiently powerful languages (this is what the Halting problem says for Turing machines, and thus holds for anything with similar expressivity). What Coq relies on is that some argument is inductively defined (which we have: both lists and Arith expressions) and that all recursive calls are to structurally smaller parts of the arguments. If that holds, we are guaranteed to terminate, as inductive types cannot be infinite (note: unlike Haskell, Coq is not lazy, which is another difference, but we’ll ignore that). If we look at our recursive call, we called compile with [a1]. While a1 is structurally smaller, we put that inside a list and used that instead, which thus violates what Coq was expecting.

    There are various ways around this (like adding another argument whose purpose is to track termination, or adding more sophisticated measurements), but there is another option: adding a helper function compile' that does what our original compile did: compiles a single Arith. The intuition that leads to trying this is that in this new compile we are decreasing on both the length of the list and the structure of the Arith, but we are trying to do both at the same time. By separating things out, we can eliminate the issue:

    - +
    compile :: [Arith] -> [StackOp]
    +compile []     = []
    +compile (x:xs) = compile' x ++ compile xs
    +
    +compile' :: Arith -> [StackOp]
    +compile' (Num n)       = [SNum n]
    +compile' (Plus a1 a2)  = compile' a2 ++ compile' a1 ++ [SPlus]
    +compile' (Minus a1 a2) = compile' a2 ++ compile' a1 ++ [SMinus]
    +compile' (Times a1 a2) = compile' a2 ++ compile' a1 ++ [STimes]

    Addendum: do the proofs mean anything?

    There are limitations to the approach outlined in this post. In particular, what hs-to-coq does is syntactically translate similar constructs from Haskell to Coq, but constructs that have similar syntax don’t necessarily have similar semantics. For example, data types in Haskell are lazy and thus infinite, whereas inductive types in Coq are definitely not infinite. This means that the proofs that you have made are about the version of the program as represented in Coq, not the original program. There are ways to make proofs about the precise semantics of a language (e.g., Arthur Charguéraud’s CFML), but on the other hand, program extraction (which is a core part of verified compilers like CompCert) has the same issue that the program being run has been converted via a similar process as hs-to-coq (from Coq to OCaml the distance is less than from Coq to Haskell, but in principle there are similar issues).

    And yet, I think that hs-to-coq has a real practical use, in particular when you have an existing Haskell codebase that you want to verify. You likely will need to refactor it to have hs-to-coq work, but that refactoring can be done within Haskell, while the program continues to work (and your existing tests continue to pass, etc). Eventually, once you finish conversion, you may decide that it makes more sense to take the converted version as ground truth (thus, you run hs-to-coq and throw out the original, relying on extraction after that point for an executable), but being able to do this gradual migration (from full Haskell to essentially a Gallina-like dialect of Haskell) seems incredibly valuable.

    @@ -522,8 +522,8 @@ Qed.

    Everything else was pretty much smooth sailing (though, as per usual, the initial backup is quite slow. The Raspberry Pi 3 processor is certainly much faster than previous Raspberry Pis, and fast enough for this purpose, but it definitely still has to work hard! And my residential cable upstream is not all that impressive. After a couple days though, the initial backup will complete!).

    Periodic backups run with the same command, and intermediate ones can be pruned away as well (I use duplicacy prune -keep 30:180 -keep 7:30 -keep 1:1, run after my daily backup, to keep monthly backups beyond 6 months, weekly beyond 1 month, and daily below that. I have a cron job that runs the backup daily, so the last is not strictly necessary, but if I do manual backups it’ll clean them up over time. Since I pretty much never delete files that are put into this archive, pruning isn’t really about saving space, as barring some error on the server the latest backup should contain every file, but it is nice to have the list of snapshots be more manageable).

    To restore from total loss of the Pi, you just need to put the config file above into .duplicacy/preferences relative to the current directory on any machine and you can run duplicacy restore. You can also grab individual files (which I tested on a different machine; I haven’t tested restoring a full backup) by creating the above mentioned file and then running duplicacy list -files -r N (where N is the snapshot you want to get the file from; run duplicacy list to find which one you want) and then to get a file duplicacy cat -r N path/to/file > where/to/put/it.

  7. -
  8. I’m still working out how to detect errors in the hard drives automatically. I can see them manually by running sudo btrfs device stats /mntpoint (which I do periodically). When this shows that a drive is failing (i.e., read/write errors), add a new drive to the spare enclosure, format it, and then run sudo btrfs replace start -f N /dev/sdX /mntpoint where N is the number of the device that is failing (when you run sudo btrfs fi show /mntpoint) and /dev/sdX is the new drive. To check for and correct errors in the file system (not the underlying drive), run sudo btrfs scrub start /mntpoint. This will run in the background; if you care you can check the status with sudo btrfs scrub status /mntpoint. Based on recommendations, I have the scrub process run monthly via a cron job.

  9. -
  10. If you want to expand the capacity of the disks, replace the drives as if they failed (see previous bullet) and then run sudo btrfs fi resize N:max /mntpoint for each N (run sudo btrfs fi show to see what your dev ids are). When you replace them, they stay at the same capacity – this resize expands the filesystem to the full device. As I mentioned earlier, I did this to replace 1TB WD Green drives with 2TB WD Red drives (so I replaced one, then the next, then did the resize on both).

  11. +
  12. I’m still working out how to detect errors in the hard drives automatically. I can see them manually by running sudo btrfs device stats /mntpoint (which I do periodically). When this shows that a drive is failing (i.e., read/write errors), add a new drive to the spare enclosure, format it, and then run sudo btrfs replace start -f N /dev/sdX /mntpoint where N is the number of the device that is failing (when you run sudo btrfs fi show /mntpoint) and /dev/sdX is the new drive. To check for and correct errors in the file system (not the underlying drive), run sudo btrfs scrub start /mntpoint. This will run in the background; if you care you can check the status with sudo btrfs scrub status /mntpoint. Based on recommendations, I have the scrub process run monthly via a cron job.

  13. +
  14. If you want to expand the capacity of the disks, replace the drives as if they failed (see previous bullet) and then run sudo btrfs fi resize N:max /mntpoint for each N (run sudo btrfs fi show to see what your dev ids are). When you replace them, they stay at the same capacity – this resize expands the filesystem to the full device. As I mentioned earlier, I did this to replace 1TB WD Green drives with 2TB WD Red drives (so I replaced one, then the next, then did the resize on both).

  15. For tech people (i.e., who are comfortable with scp), this setup is enough – just get files onto the server, into the right directory, and it’ll be all set. For less tech-savvy people, you can install samba on the raspberry pi and then set up a share like the following (put this at the bottom of /etc/samba/smb.conf):

    [sharename]
     comment = Descriptive name
    @@ -553,13 +553,13 @@ guest ok = no

    by Daniel Patterson on October 5, 2014

    Every so often, the question comes up, should you test in Haskell, and if so, how should you do it?

    -

    Most people agree that you should test pure, especially complicated, algorithmic code. Quickcheck1 is a great way to do this, and most Haskellers have internalized this (Quickcheck was invented here, so it must provide value!). What’s less clear (or at least, more debated!) is whether you should be testing monadic code, glue code, and code that just isn’t all that complicated.

    +

    Most people agree that you should test pure, especially complicated, algorithmic code. Quickcheck1 is a great way to do this, and most Haskellers have internalized this (Quickcheck was invented here, so it must provide value!). What’s less clear (or at least, more debated!) is whether you should be testing monadic code, glue code, and code that just isn’t all that complicated.

    Quickcheck?

    A lot Haskell I’m writing these days is with the web framework Snap, and web handlers often have the type Handler App App () - where Handler is a web monad (giving access to request information, and the ability to write response data), and App indicates access to application specific state (like database connections, templates, etc).

    So the inputs (ie, how to run this action) include any HTTP request and any application state, and the only outputs are side effects (as all it returns is unit). Using Quickcheck here is… challenging. You could restrict the generated requests to have the right URL, and even have the right query parameters, but since the query parameters are just text, if they were supposed to be more structured (like an interger), the chance of actually generating text that was just a number is pretty low… And then if the number were supposed to be the id of an element in the database….

    But assume that we restrict it so that it’s only generating ids for elements in the database, what are the properties we are asserting? Let’s say that the handler looked up the element, and rendered it on the page. So then we want to assert something about the content of the response (which is wrapped up in the Handler monad). But maybe it should also increment a view count in the database. And assuming that we wrote all these into properties, what are the elements in the database that it is choosing among? And in some senses we’ve now restricted too much, because we may want to see what the behavior is like for slightly invalid inputs. Say, integer id’s that don’t correspond to elements in the database. This is all certainly possible, and may be worth doing, but it seems pretty difficult. Which is totally different from the experience of testing nice pure functions!

    Let’s try to tease out a little bit of why testing this kind of code with Quickcheck is hard. One problem is that the input space, as determined by the type, is massive. And for most of the possible inputs, the result should be some version of a no-op. Another problem is the dependence on state, as the possible inputs are contingent on external state, and the outputs are primarily changes to state, each of which, again, is a massive space.

    -

    But having massive input and output spaces is not necessarily a reason not to be using randomized testing. Indeed, this is exactly the kind of thing that fuzz-testing of web browsers, for example, has done with great effect2. The problem in this case is that the size of the input and output space is not at all in proportion to the complexity of the code. If we were writing an HTTP server, we may indeed want to be generating random requests, throwing them at the web server, and making sure it was generating well-formed responses (404s being perfectly fine).

    +

    But having massive input and output spaces is not necessarily a reason not to be using randomized testing. Indeed, this is exactly the kind of thing that fuzz-testing of web browsers, for example, has done with great effect2. The problem in this case is that the size of the input and output space is not at all in proportion to the complexity of the code. If we were writing an HTTP server, we may indeed want to be generating random requests, throwing them at the web server, and making sure it was generating well-formed responses (404s being perfectly fine).

    Not that complicated…

    But we’re just writing a little bit of glue code. Which isn’t that complicated. And can be tested manually pretty easily. And may change rapidly.

    Which means spending a lot of time setting up property based tests (which in these sorts of cases are necessarily going to be quite a bit more complicated than quintessential Quickcheck examples like showing that reverse . reverse = id).

    @@ -578,7 +578,7 @@ lookupAndRenderFoo = undefined

    Which is where we come to the argument that testing slows things down, and that for rapidly changing code, it just doesn’t matter.

    What about just not sampling?

    But if we step back a bit, we realize that what Quickcheck is trying to do is to sample representatively (well, with a bias towards edge cases) over the type of the input. And it’s easy to see why that’s appealing, as it gives you reasonable confidence that any use of the function behaves as desired. But if we forget about that, as we already know that our types completely underspecify the behavior, we realize all that we really care about is that the code does what we think it should do on a few example cases. That’s what we were going to manually verify after writing the code anyway.

    -

    Which is easy to test. With Snap, I’d write some tests for the above snippet like3:

    +

    Which is easy to test. With Snap, I’d write some tests for the above snippet like3:

    do f <- create ()
        let i = show . unFooId . fooId $ f
        get ("/foo/" ++ i) >>= should200
    @@ -594,18 +594,18 @@ lookupAndRenderFoo = undefined

    Which seems like a lot of assurance for a very small amount of work. And if your application is fast moving, this benefits you even more, as the faster you move, the more likely you are to break things (at least, that’s always been my experience!). If you do decide to rewrite this handler, fixing these tests is going to take a tiny amount of time (probably less time than you spend manually confirming that the change worked).

    Why this should be expected to work.

    To take it a little further, and perhaps justify from a somewhat theoretical point of view why these sorts of tests are so valuable, consider all possible implementations of any function (or monadic action). The possible implementations with the given type are a subset of all the possible implementations, but still potentially a pretty large one (our example of a web handler certainly has this property).

    -

    This perspective gives us some intuition on why it is much easier to test simple, pure functions. There are only four possible implementations of a Bool -> Bool function, so testing not via sampling seems pretty tractable. To go even further, we get into the territory of “Theorems for Free”4, where there is only one implementation for an (a,b) -> a function, so testing fst is pointless.

    +

    This perspective gives us some intuition on why it is much easier to test simple, pure functions. There are only four possible implementations of a Bool -> Bool function, so testing not via sampling seems pretty tractable. To go even further, we get into the territory of “Theorems for Free”4, where there is only one implementation for an (a,b) -> a function, so testing fst is pointless.

    But returning to our case of massive spaces of well-typed implementations: A single test, like one of the above, corresponds to another subset of all the possible implementations. For example, the first test corresponds to the subset that return success when passed the given url via GET request. Since we’re in Haskell, we also get a guarantee that the set of implementations that fulfill the test is a (non)strict subset of the set of implementations that fulfill the type, as if this were not the case, our test case wouldn’t type check. The problem with the first test, of course, is that there are all sorts of bogus implementations that fulfill it. For example, the handler that always returns success would match that test.

    But even still, it is a strict subset of the implementations that fulfill the type (for example, the handler that always returns 404 is not in this set), so we’re guaranteed to have improved the chance that our code is correct, even with such a weak test (granted, it actually may not be that weak of a test - in one project, I have a menu generated from a data structure in code, and a test that iterates through all elements of the menu, checking that hitting each url results in a 200. And this has caught many refactoring problems!).

    Where we really start to benefit is as we add a few more tests. The second test shows that the handler must somehow get an element out of the database (provided our create () test function is creating relatively unique field names), which is another (strict) subset of the set of implementations that fulfill the type. And we now know that our implementation must be somewhere in the intersection of these two subsets.

    It shouldn’t be hard to convince yourself that through the process of just writing a few (well chosen) tests you can vastly reduce the possibility of writing incorrect implementations. Which, when we are writing relatively straightforward code, will probably be good enough to ensure that the code is actually correct. And will continue to verify that as the code evolves. Pretty good for a couple lines of code.

    -
    +

      -
    1. For those who haven’t used Quickcheck, it allows you to specify properties that a function should satisfy, and possibly a way to generate random values of the input type (if your input is a standard type, it already knows how to do this), and it will generate some number of inputs and verify that the property holds for all of them.

    2. -
    3. See, for example, www.squarefree.com/2014/02/03/fuzzers-love-assertions/.

    4. -
    5. This syntax is based on the hspec-snap package, which I chose because I’m familiar with it (and wrote it). The create line is from some not-yet-integrated-or-released, at least at time of publishing, work to add factory support to the library (sorry!). With that said, the advice should hold no matter what you’re doing.

    6. -
    7. See Wadler’s “Theorems for Free”, 1989.

    8. +
    9. For those who haven’t used Quickcheck, it allows you to specify properties that a function should satisfy, and possibly a way to generate random values of the input type (if your input is a standard type, it already knows how to do this), and it will generate some number of inputs and verify that the property holds for all of them.↩︎

    10. +
    11. See, for example, www.squarefree.com/2014/02/03/fuzzers-love-assertions/.↩︎

    12. +
    13. This syntax is based on the hspec-snap package, which I chose because I’m familiar with it (and wrote it). The create line is from some not-yet-integrated-or-released, at least at time of publishing, work to add factory support to the library (sorry!). With that said, the advice should hold no matter what you’re doing.↩︎

    14. +
    15. See Wadler’s “Theorems for Free”, 1989.↩︎

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