From 2301d700b9819a9118df0ca2502144e5e5b1ec7a Mon Sep 17 00:00:00 2001 From: Anas Bach Date: Sun, 9 Aug 2026 13:00:49 +0200 Subject: [PATCH 1/3] Adding other designs --- min_halbach_optim.json | 95 ++++++++++++++++++++++++++++++++++++++ small_halbach_optim.json | 78 +++++++++++++++++++++++++++++++ standalone/source/main.cpp | 10 ++++ 3 files changed, 183 insertions(+) create mode 100644 min_halbach_optim.json create mode 100644 small_halbach_optim.json diff --git a/min_halbach_optim.json b/min_halbach_optim.json new file mode 100644 index 0000000..9925682 --- /dev/null +++ b/min_halbach_optim.json @@ -0,0 +1,95 @@ +{ + "halbach_optimization": { + + "_design": "The smallest Halbach this ring model will usefully build: five rings, two layers, 185 cubes of 8 mm N52 - about 0.7 kg - 52 mm long and 102 mm across, with a 21 mm free bore for a 10 mm NMR tube. As run it gives 213 mT, 9.05 MHz for protons, and 90 ppm over a 12 mm sample sphere, measured from the magnets themselves over the whole sphere. Against the 21-ring design in small_halbach_optim.json that is a quarter of the magnets for two thirds of the field, over a sample volume rather less than half the size. The tube still lies along the bore (z) and B0 is transverse (x), so a solenoid round the tube gives B1 perpendicular to B0.", + + "_what_five_rings_costs": "Less than it looks, and not where you would guess. A ring at height z contributes to the centre as 1/(1+(z/R)^2)^2.5, so rings beyond about two pitches out add almost nothing there: five rings keep 91 percent of the centre field of twenty-one. What the far rings actually buy is uniformity ALONG the axis, and that is what is lost. So this design gives up sample length, not field. The DSV is 12 mm rather than 20 mm, which covers an 8 mm liquid column over 8.9 mm of its height - one RF coil's worth, not a few centimetres of tube.", + + "ring_count": 5, + "ring_separation": 0.013, + + "_ring_geometry": "13 mm pitch, not the 9 mm that would stack 8 mm cubes as tightly as they go. With only five rings the binding constraint is how far they reach along z, so spreading them out is the strongest lever there is: measured on this geometry at a 12 mm DSV, a 9 mm pitch gave 617 ppm and a 13 mm pitch gave 90 ppm. It costs field - 285 mT falls to 213 mT - because the outer rings move away from the centre. 5 mm axial gaps between rings need a slotted former rather than a plain tube.", + + "_element": "8 mm N52 cubes, Br = 1.42 T, the polarization the cuboid kernel wants. Cube size was measured at this ring count and bore: 6 mm gave 247 ppm at 243 mT from 195 magnets, 8 mm gave 139 ppm at 285 mT from 185, 10 mm gave 84 ppm at 336 mT from 159 - but the 10 mm rings hold only 10 to 14 magnets each, and ring discreteness then shows up as ripple that grows as (r/R)^(N-2), which is why 10 mm loses badly as soon as the DSV opens up: at 12 mm it gave 370 ppm against 8 mm's 90.", + + "element": { + "size": 0.008, + "remanence": 1.42 + }, + + "_candidates": "37 radii from 16.2 to 34.2 mm on a 0.5 mm step, with the count set to the densest packing that still leaves each cube 1.45 times its own side of arc; two 8 mm cubes turned corner-on need 1.414, and the tightest pair here has 1.450. The fine step matters more than it would with eleven genes: three genes make the search space small enough that the answer is decided by which discrete (radius, count) pairs happen to exist, and a 1 mm step with a more conservative count rule gave 395 ppm where this gives far less. It costs nothing - 37^3 is 50653 combinations, which the population below samples heavily in its first generation. The smallest radius sets the usable bore, since the tube passes the whole length and the optimizer puts its smallest rings at the ends.", + + "candidates": [ + {"radius": 0.0162, "count": 8}, + {"radius": 0.0167, "count": 9}, + {"radius": 0.0172, "count": 9}, + {"radius": 0.0177, "count": 9}, + {"radius": 0.0182, "count": 9}, + {"radius": 0.0187, "count": 10}, + {"radius": 0.0192, "count": 10}, + {"radius": 0.0197, "count": 10}, + {"radius": 0.0202, "count": 10}, + {"radius": 0.0207, "count": 11}, + {"radius": 0.0212, "count": 11}, + {"radius": 0.0217, "count": 11}, + {"radius": 0.0222, "count": 12}, + {"radius": 0.0227, "count": 12}, + {"radius": 0.0232, "count": 12}, + {"radius": 0.0237, "count": 12}, + {"radius": 0.0242, "count": 13}, + {"radius": 0.0247, "count": 13}, + {"radius": 0.0252, "count": 13}, + {"radius": 0.0257, "count": 13}, + {"radius": 0.0262, "count": 14}, + {"radius": 0.0267, "count": 14}, + {"radius": 0.0272, "count": 14}, + {"radius": 0.0277, "count": 15}, + {"radius": 0.0282, "count": 15}, + {"radius": 0.0287, "count": 15}, + {"radius": 0.0292, "count": 15}, + {"radius": 0.0297, "count": 16}, + {"radius": 0.0302, "count": 16}, + {"radius": 0.0307, "count": 16}, + {"radius": 0.0312, "count": 16}, + {"radius": 0.0317, "count": 17}, + {"radius": 0.0322, "count": 17}, + {"radius": 0.0327, "count": 17}, + {"radius": 0.0332, "count": 17}, + {"radius": 0.0337, "count": 18}, + {"radius": 0.0342, "count": 18} + ], + + "_band": "As always here, the optimizer scores homogeneity and nothing else, so it would rather sit further out where the field is flatter and weaker; the top of this list is what stops it, and is therefore the field-against-homogeneity lever. Swept on this geometry at a 12 mm DSV: top 34 mm gives 90 ppm at 213 mT from 185 magnets, top 42 mm gives 69 ppm at 167 mT from 219, top 50 mm gives 49 ppm at 148 mT from 241. Unusually, widening the band here costs magnets as well as field, because bigger rings need more cubes - so 34 mm is the best point on every axis at once, which is why it is set there.", + + "outer_radius_offset": 0.013, + "outer_count_offset": 7, + + "_layers": "13 mm out with 7 more magnets. An 8 mm cube reaches 5.66 mm from its centre turned corner-on, so two layers need 11.3 mm plus a former wall; 1.69 mm is left. The +7 clears at every candidate, from 1.482 sides of arc at the tightest to 1.545 at the loosest.", + + "order": 1, + + "_dsv": "12 mm, down from the 20 mm of the longer design. This is the number five rings really cost. It covers an 8 mm liquid column - a 10 mm tube less its walls - over 8.9 mm, which is a short but real sensitive volume. Open it to 16 mm and this geometry gives about 320 ppm instead of 90.", + + "dsv": 0.012, + "resolution": 0.0003, + + "symmetry": "octant", + "objective": "ppm_bmag", + "field_model": "cuboid", + + "_genetic": "A big population and a high gene mutation rate, and both are needed - this is the one place a short magnet is harder to optimize than a long one. Five rings mirror down to three genes, and a three gene genome gives two point crossover almost nothing to cut, so the search rests entirely on mutation and on how much of the space generation zero happens to sample. A small population converges in a handful of generations and stops. Measured on this problem, whose space is 37^3 = 50653: population 2000 with gene_mut_prob 0.1 settled at 103.4 ppm and stayed there from generation 6; population 20000 at 0.3 reaches 90.4 ppm; and a population of 200000, which samples 98 percent of the whole space in generation zero, also reaches 90.4 ppm and no further, so that is the global optimum and the settings below find it. The whole run still takes about half a minute.", + + "genetic": { + "population": 20000, + "generations": 40, + "cx_prob": 0.55, + "mut_prob": 0.4, + "gene_mut_prob": 0.3, + "tournament": 3, + "elitism": 2, + "seed": 42 + }, + + "_what_this_is_not": "A spectrometer magnet. 90 ppm over 12 mm at 9 MHz is a relaxometry and diffusion instrument, or a teaching one; liquid spectroscopy wants a longer sensitive volume and sub-ppm after shimming, and the 21-ring design is the better start for that. Everything else that applies there applies here: NdFeB drifts about -1100 ppm per kelvin so the housing has to be temperature controlled, the profile the optimizer returns need not be smooth and an irregular one is more sensitive to build tolerance, and two layers is all this ring model parametrizes." + } +} diff --git a/small_halbach_optim.json b/small_halbach_optim.json new file mode 100644 index 0000000..83d7676 --- /dev/null +++ b/small_halbach_optim.json @@ -0,0 +1,78 @@ +{ + "halbach_optimization": { + + "_design": "A benchtop Halbach magnet for liquid state NMR of a ~10 mm sample tube. The tube lies along the bore (z) and B0 is transverse to it (x), so a solenoid wound round the tube gives B1 along z, perpendicular to B0, which is the sensitive and conventional arrangement. Free bore 26.7 mm, overall 111 mm across and 180 mm long, 789 cubes of 8 mm N52, about 2.9 kg of magnet. As run, it gives 316 mT - 13.46 MHz for protons - and 215 ppm over the 20 mm sample sphere, measured from the magnets themselves over the whole sphere and confirmed by simulating the written file back through the standalone simulator.", + + "_how_to_read_this": "The optimizer measures homogeneity and nothing else, so it will always prefer to sit further from the sample: the field is flatter out there, and weaker. Nothing in the objective pushes back, so what actually decides the field is where the candidate list stops. The range of radii below is therefore less a search space than the designer's field-against-homogeneity lever, and it was picked by sweeping it on exactly this geometry, keeping the bottom of the band at 19 mm and moving the top: top 28 mm gave 1383 ppm at 410 mT (17.45 MHz, 93 mm across), top 32 mm gave 474 ppm at 359 mT (15.29 MHz, 101 mm), top 37 mm - what is set below - gives 210 ppm at 316 mT (13.46 MHz, 111 mm), and top 42 mm gave 69 ppm at 272 mT (11.57 MHz, 121 mm). Raise the top for line width, lower it for signal. 37 mm is the balance and not a discovery; if the instrument is for spectroscopy rather than relaxometry, 42 mm is the better end of that trade.", + + "ring_count": 21, + "ring_separation": 0.009, + + "_ring_geometry": "21 rings on a 9 mm pitch: the 8 mm cube plus a millimetre of glue line, so the rings are as tightly stacked as they can be. 180 mm of length against a 20 mm bore radius is a long cylinder, and length is what makes the middle of a Halbach uniform along its axis. It also buys eleven genes rather than seven, which is eleven places the optimizer can correct the fall-off at the ends.", + + "_element": "8 mm N52 cubes, Br = 1.42 T, which is the polarization the cuboid kernel wants. Cube size is the other lever and was also measured, at the same 26.7 mm bore and a band reaching to 36-38 mm, with the ring pitch tracking the cube and the ring count set to keep the magnet the same length: 6 mm cubes gave 110 ppm but only 241 mT from 1043 magnets, 8 mm gave 171 ppm at 308 mT from 725, 10 mm gave 344 ppm at 379 mT from 475. Bigger cubes mean more field and fewer of them, and fewer ring positions to correct with, so worse homogeneity. 8 mm is the balance: a quarter more field than 6 mm with a third fewer magnets to buy, glue and align, and 8 mm N52 is about the largest cube that is still sane to handle by hand.", + + "element": { + "size": 0.008, + "remanence": 1.42 + }, + + "_candidates": "19 radii from 19 to 37 mm on a 1 mm step, the magnet count following so that each cube gets about 1.5 times its own side of arc. Two 8 mm cubes turned corner-on need 1.414 sides between centres not to touch; the tightest pair here has 1.440, so every candidate clears. The smallest radius is what sets the usable bore, because the tube has to pass the whole length of the magnet and the optimizer puts its smallest rings at the ends.", + + "candidates": [ + {"radius": 0.019, "count": 10}, + {"radius": 0.020, "count": 10}, + {"radius": 0.021, "count": 11}, + {"radius": 0.022, "count": 12}, + {"radius": 0.023, "count": 12}, + {"radius": 0.024, "count": 13}, + {"radius": 0.025, "count": 13}, + {"radius": 0.026, "count": 14}, + {"radius": 0.027, "count": 14}, + {"radius": 0.028, "count": 15}, + {"radius": 0.029, "count": 15}, + {"radius": 0.030, "count": 16}, + {"radius": 0.031, "count": 16}, + {"radius": 0.032, "count": 17}, + {"radius": 0.033, "count": 17}, + {"radius": 0.034, "count": 18}, + {"radius": 0.035, "count": 18}, + {"radius": 0.036, "count": 19}, + {"radius": 0.037, "count": 19} + ], + + "_layers": "The second layer sits 13 mm further out with 7 more magnets. 13 mm is the least that clears, since an 8 mm cube reaches 5.66 mm from its centre when turned corner-on and two layers need 11.3 mm plus a former wall. The +7 holds at every radius because 13 mm of extra circumference is almost exactly 7 more magnets at this pitch.", + + "outer_radius_offset": 0.013, + "outer_count_offset": 7, + + "order": 1, + + "_dsv": "A 20 mm sphere, which covers a 10 mm tube over 17.3 mm of its height - a realistic sensitive length for a solenoid on a tube this size. Keeping it a small fraction of the bore is the cheapest homogeneity there is, since the field degrades quickly towards the magnets. A longer RF coil means raising this, and the ppm will rise with it.", + + "dsv": 0.02, + "resolution": 0.0005, + + "symmetry": "octant", + + "_objective": "ppm_bmag rather than the ppm_bx the imaging design uses. A nucleus precesses at a frequency set by the magnitude of the field where it sits, so |B| is what a line width is made of. In a good Halbach the field is almost all along x and the two figures nearly agree, but it is |B| that has to be flat.", + + "objective": "ppm_bmag", + "field_model": "cuboid", + + "_genetic": "Eleven genes over nineteen candidates is 19^11, and the basis here is small enough that a generation costs a fraction of a second. This converges inside about 50 generations; the rest is insurance against a run that starts badly.", + + "genetic": { + "population": 10000, + "generations": 120, + "cx_prob": 0.55, + "mut_prob": 0.4, + "gene_mut_prob": 0.05, + "tournament": 3, + "elitism": 2, + "seed": 42 + }, + + "_what_this_is_not": "The geometry alone. A magnet built to this still needs passive shims, a temperature controlled housing - NdFeB drifts about -1100 ppm per kelvin, which swamps everything here - and, for spectroscopy, an active shim set. Those take a hundred-odd ppm down to the sub-ppm a liquid spectrum needs. Note also that the profile the optimizer returns need not be smooth: it finds cancellations, and an irregular one will be more sensitive to build tolerance than a monotone taper. Two layers is as many as this ring model parametrizes, and it is what caps the field at a few hundred mT; more field means more layers, which you can add by hand to the arrangements in the output file." + } +} diff --git a/standalone/source/main.cpp b/standalone/source/main.cpp index 80dfb61..fc1dd72 100644 --- a/standalone/source/main.cpp +++ b/standalone/source/main.cpp @@ -218,6 +218,16 @@ void writeMatrixToCSV(const std::vector>& matrix, const std:: return; } + /* + Nine significant digits, which is what a float needs to be written and + read back unchanged. The default six is a part in a million of the value, + and a homogeneous magnet is measured in exactly that: a field of 0.21 T + flat to 90 ppm varies by 19 microtesla end to end, which the default + writes in twenty steps. The homogeneity read back off such a file is then + the file's rounding rather than the magnet's. + */ + file.precision(9); + // Write the matrix to the file for (const auto& row : matrix) { for (size_t i = 0; i < row.size(); ++i) { From b571075061670d58a69280f314c856b697d66047 Mon Sep 17 00:00:00 2001 From: Anas Bach Date: Sun, 9 Aug 2026 17:56:20 +0200 Subject: [PATCH 2/3] Adding designs recap --- designs/README.md | 109 + designs/imaging-200mm-dsv/config.json | 59 + designs/imaging-200mm-dsv/convergence.csv | 102 + designs/imaging-200mm-dsv/field.csv | 33402 +++++++++++++++++ designs/imaging-200mm-dsv/optimized.json | 1875 + designs/nmr-21ring-10mm-tube/config.json | 78 + designs/nmr-21ring-10mm-tube/convergence.csv | 122 + designs/nmr-21ring-10mm-tube/field.csv | 33402 +++++++++++++++++ designs/nmr-21ring-10mm-tube/optimized.json | 1726 + designs/nmr-2ring-10magnets/config.json | 164 + designs/nmr-2ring-10magnets/convergence.csv | 27 + designs/nmr-2ring-10magnets/field.csv | 33402 +++++++++++++++++ designs/nmr-2ring-10magnets/optimized.json | 354 + designs/nmr-2ring-5mm-tube/config.json | 267 + designs/nmr-2ring-5mm-tube/convergence.csv | 12 + designs/nmr-2ring-5mm-tube/field.csv | 33402 +++++++++++++++++ designs/nmr-2ring-5mm-tube/optimized.json | 458 + designs/nmr-3ring-21magnets/config.json | 244 + designs/nmr-3ring-21magnets/convergence.csv | 27 + designs/nmr-3ring-21magnets/field.csv | 33402 +++++++++++++++++ designs/nmr-3ring-21magnets/optimized.json | 513 + designs/nmr-3ring-5mm-tube/config.json | 267 + designs/nmr-3ring-5mm-tube/convergence.csv | 22 + designs/nmr-3ring-5mm-tube/field.csv | 33402 +++++++++++++++++ designs/nmr-3ring-5mm-tube/optimized.json | 537 + designs/nmr-5ring-10mm-tube/config.json | 95 + designs/nmr-5ring-10mm-tube/convergence.csv | 42 + designs/nmr-5ring-10mm-tube/field.csv | 33402 +++++++++++++++++ designs/nmr-5ring-10mm-tube/optimized.json | 606 + designs/regenerate.sh | 84 + 30 files changed, 241604 insertions(+) create mode 100644 designs/README.md create mode 100644 designs/imaging-200mm-dsv/config.json create mode 100644 designs/imaging-200mm-dsv/convergence.csv create mode 100644 designs/imaging-200mm-dsv/field.csv create mode 100644 designs/imaging-200mm-dsv/optimized.json create mode 100644 designs/nmr-21ring-10mm-tube/config.json create mode 100644 designs/nmr-21ring-10mm-tube/convergence.csv create mode 100644 designs/nmr-21ring-10mm-tube/field.csv create mode 100644 designs/nmr-21ring-10mm-tube/optimized.json create mode 100644 designs/nmr-2ring-10magnets/config.json create mode 100644 designs/nmr-2ring-10magnets/convergence.csv create mode 100644 designs/nmr-2ring-10magnets/field.csv create mode 100644 designs/nmr-2ring-10magnets/optimized.json create mode 100644 designs/nmr-2ring-5mm-tube/config.json create mode 100644 designs/nmr-2ring-5mm-tube/convergence.csv create mode 100644 designs/nmr-2ring-5mm-tube/field.csv create mode 100644 designs/nmr-2ring-5mm-tube/optimized.json create mode 100644 designs/nmr-3ring-21magnets/config.json create mode 100644 designs/nmr-3ring-21magnets/convergence.csv create mode 100644 designs/nmr-3ring-21magnets/field.csv create mode 100644 designs/nmr-3ring-21magnets/optimized.json create mode 100644 designs/nmr-3ring-5mm-tube/config.json create mode 100644 designs/nmr-3ring-5mm-tube/convergence.csv create mode 100644 designs/nmr-3ring-5mm-tube/field.csv create mode 100644 designs/nmr-3ring-5mm-tube/optimized.json create mode 100644 designs/nmr-5ring-10mm-tube/config.json create mode 100644 designs/nmr-5ring-10mm-tube/convergence.csv create mode 100644 designs/nmr-5ring-10mm-tube/field.csv create mode 100644 designs/nmr-5ring-10mm-tube/optimized.json create mode 100755 designs/regenerate.sh diff --git a/designs/README.md b/designs/README.md new file mode 100644 index 0000000..30d7e6c --- /dev/null +++ b/designs/README.md @@ -0,0 +1,109 @@ +# Magnet designs + +One folder per magnet. Each was produced by `halbach-optimizer` from the +`config.json` beside it, and each folder holds both the answer and the evidence +for it. + +| file | what it is | +| --- | --- | +| `config.json` | what was asked for. The `_`-prefixed keys are the record of *why* each parameter is what it is — the sweeps behind it, the constraints that bind, and what was traded against what. The optimizer ignores them. | +| `optimized.json` | what came out. **An input file the simulator runs as it stands** — `arrangements` plus a `field_of_view` — with the homogeneity and field figures beside them in a `halbach_optimization` object the readers ignore. | +| `field.csv` | the field the verification measured, one row a sample: `x,y,z,Bx,By,Bz,Bmag` over the whole sample sphere, at nine significant digits. | +| `convergence.csv` | the search, one row a generation: `generation,best_ppm,best_ever_ppm,mean_ppm,seconds`. | + +## Where the homogeneity and field figures live + +In `optimized.json`, under `halbach_optimization`. Two blocks, and the +difference between them matters: + +```json +"optimized": { "homogeneity_ppm": 90.4, "mean_T": 0.2127, "min_T": ..., "max_T": ..., + "peak_to_peak_T": ..., "points": 4662 }, +"verified": { "homogeneity_ppm": 91.4, "mean_T": 0.2127, ..., "points": 33401 } +``` + +`optimized` is the figure the search was steered by, over whatever symmetry +reduction it used. `verified` is the same figure taken again over the **whole** +sphere, from the magnets themselves, through the simulator the rest of the +project uses. **Quote `verified`.** A number that was optimized cannot also be +the evidence that the optimization worked, and the two do come apart: on +`nmr-3ring-21magnets` the octant search said 531 ppm where the honest figure was +719, because a 3-magnet ring carries a harmonic the octant reflections do not +respect. Everything with ten or more magnets to a ring agrees to about 1%. + +Alongside them: `basis` (the size of the precomputation), `magnet_count`, +`genome`, `chosen` (which candidate went to which ring position, with radii and +counts), and `timing_s`. + +## The designs + +Field figures are `verified`, over the whole sample sphere. + +| design | magnets | cube | field | homogeneity | DSV | tube | +| --- | ---: | ---: | ---: | ---: | ---: | --- | +| `imaging-200mm-dsv` | 2971 | 12 mm | 49.1 mT (2.09 MHz) | 805 ppm | 200 mm | — imaging | +| `nmr-21ring-10mm-tube` | 789 | 8 mm | 316.0 mT (13.46 MHz) | 215 ppm | 20 mm | 10 mm | +| `nmr-5ring-10mm-tube` | 185 | 8 mm | 212.7 mT (9.05 MHz) | **91 ppm** | 12 mm | 10 mm | +| `nmr-3ring-5mm-tube` | 99 | 8 mm | 178.6 mT (7.60 MHz) | 247 ppm | 8 mm | 5 mm | +| `nmr-2ring-5mm-tube` | 86 | 8 mm | 82.8 mT (3.52 MHz) | 246 ppm | 6 mm | 5 mm | +| `nmr-3ring-21magnets` | 21 | 24 mm | 171.2 mT (7.29 MHz) | 602 ppm | 4 mm | capillary | +| `nmr-2ring-10magnets` | 10 | 24 mm | 83.9 mT (3.57 MHz) | 9396 ppm | 4 mm | — not usable | + +`imaging-200mm-dsv` is the port of `HalbachOptimisation/`, the Python project +this optimizer replaces. The rest are NMR magnets for a sample tube along the +bore, with B0 transverse to it. + +## Reading the ppm figure + +Peak-to-peak over a sphere is a worst-case number and it **overstates the line +you would actually see**, often by a lot. What is left after optimization is +mostly ring-discreteness ripple, which grows as (r/R)^(N-2) — for a 15-magnet +ring that is r¹³, so almost all of it lives in a thin shell at the very edge of +the sphere. On `nmr-5ring-10mm-tube`, half the volume sits within 4.8 ppm of the +mean while the peak-to-peak is 91. + +The lineshape is just the histogram of `Bmag` over the detected volume, so +`field.csv` gives it directly: + +| design | p-p ppm | line FWHM | as ppm | T2\* | +| --- | ---: | ---: | ---: | ---: | +| `nmr-21ring-10mm-tube` | 215 | 96 Hz | 7.2 | 3.3 ms | +| `nmr-5ring-10mm-tube` | 91 | 48 Hz | 5.3 | 6.6 ms | +| `nmr-3ring-5mm-tube` | 247 | 78 Hz | 10.3 | 4.1 ms | +| `nmr-2ring-5mm-tube` | 246 | 22 Hz | 6.2 | 14.7 ms | +| `nmr-3ring-21magnets` | 602 | 1024 Hz | 140 | 0.31 ms | +| `nmr-2ring-10magnets` | 9396 | 5878 Hz | 1644 | 0.05 ms | + +Against a probe dead time of 10–50 µs, every T2\* above 1 ms loses well under a +percent of the FID. None of these has the ~1 ppm linewidth chemical shift needs, +which is what shimming is for; and none of it survives temperature drift, since +NdFeB moves about −1100 ppm/K. + +## Regenerating + +```bash +./regenerate.sh # every design +./regenerate.sh nmr-5ring-10mm-tube # one of them +./regenerate.sh --check # rebuild into a temp dir and compare, changing nothing +``` + +`--check` compares the genome and the `verified` figures, not the timings. +Every design here reproduces exactly for its seed and thread count; across +different thread counts the genetic operators draw from a thread-partitioned +random pool and float sums reassociate, so the answers agree on the design but +need not agree in the last digit. + +The `field.csv` files are about 3 MB each, 22 MB in total. They are +reproducible from `config.json` in seconds to a couple of minutes, so add +`designs/*/field.csv` to `.gitignore` if you would rather not carry them. + +## Running one + +```bash +./build/standalone/Greeter -i designs/nmr-5ring-10mm-tube/optimized.json \ + -s designs/nmr-5ring-10mm-tube/snapshot.json +``` + +The snapshot opens in the viewer. `optimized.json` needs no editing — the +metadata block is ignored by the readers, and the `field_of_view` is already the +sample sphere's bounding box. diff --git a/designs/imaging-200mm-dsv/config.json b/designs/imaging-200mm-dsv/config.json new file mode 100644 index 0000000..c809f53 --- /dev/null +++ b/designs/imaging-200mm-dsv/config.json @@ -0,0 +1,59 @@ +{ + "halbach_optimization": { + + "_comment": "Every value here is the default, so an optimizer run with no configuration file at all is this file. It is the design of HalbachOptimisation/homogeneityOptimisation.py: a cylinder of 23 rings 22 mm apart, each position choosing one of 19 (radius, magnet count) pairs, in two layers 21 mm apart.", + + "ring_count": 23, + "ring_separation": 0.022, + + "candidates": [ + {"radius": 0.148, "count": 50}, + {"radius": 0.151, "count": 51}, + {"radius": 0.154, "count": 52}, + {"radius": 0.156, "count": 53}, + {"radius": 0.159, "count": 54}, + {"radius": 0.162, "count": 55}, + {"radius": 0.165, "count": 56}, + {"radius": 0.168, "count": 57}, + {"radius": 0.171, "count": 58}, + {"radius": 0.174, "count": 59}, + {"radius": 0.177, "count": 60}, + {"radius": 0.180, "count": 61}, + {"radius": 0.183, "count": 62}, + {"radius": 0.186, "count": 63}, + {"radius": 0.189, "count": 64}, + {"radius": 0.192, "count": 65}, + {"radius": 0.195, "count": 66}, + {"radius": 0.198, "count": 67}, + {"radius": 0.201, "count": 68} + ], + + "outer_radius_offset": 0.021, + "outer_count_offset": 7, + + "order": 1, + + "element": { + "size": 0.012, + "remanence": 1.3 + }, + + "dsv": 0.2, + "resolution": 0.005, + + "symmetry": "octant", + "objective": "ppm_bx", + "field_model": "cuboid", + + "genetic": { + "population": 10000, + "generations": 100, + "cx_prob": 0.55, + "mut_prob": 0.4, + "gene_mut_prob": 0.05, + "tournament": 3, + "elitism": 1, + "seed": 42 + } + } +} diff --git a/designs/imaging-200mm-dsv/convergence.csv b/designs/imaging-200mm-dsv/convergence.csv new file mode 100644 index 0000000..32e6027 --- /dev/null +++ b/designs/imaging-200mm-dsv/convergence.csv @@ -0,0 +1,102 @@ +generation,best_ppm,best_ever_ppm,mean_ppm,seconds +0,8101.52,8101.52,136435,7.3e-08 +1,7849.12,7849.12,90612.5,0.202187 +2,7461.71,7461.71,69850.3,0.197998 +3,5674.92,5674.92,57813.9,0.204368 +4,5186.34,5186.34,49662.2,0.209631 +5,4779.94,4779.94,44547.3,0.209373 +6,3283.93,3283.93,40454.3,0.246036 +7,1974.54,1974.54,38118.9,0.19608 +8,1974.54,1974.54,34980.2,0.22197 +9,1974.54,1974.54,32737,0.210893 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mode 100644 index 0000000..f0b2419 --- /dev/null +++ b/designs/nmr-21ring-10mm-tube/config.json @@ -0,0 +1,78 @@ +{ + "halbach_optimization": { + + "_design": "A benchtop Halbach magnet for liquid state NMR of a ~10 mm sample tube. The tube lies along the bore (z) and B0 is transverse to it (x), so a solenoid wound round the tube gives B1 along z, perpendicular to B0, which is the sensitive and conventional arrangement. Free bore 26.7 mm, overall 111 mm across and 188 mm long over the end cubes, 789 cubes of 8 mm N52, about 2.9 kg of magnet. As run, it gives 316 mT - 13.46 MHz for protons - and 215 ppm over the 20 mm sample sphere, measured from the magnets themselves over the whole sphere and confirmed by simulating the written file back through the standalone simulator.", + + "_how_to_read_this": "The optimizer measures homogeneity and nothing else, so it will always prefer to sit further from the sample: the field is flatter out there, and weaker. Nothing in the objective pushes back, so what actually decides the field is where the candidate list stops. The range of radii below is therefore less a search space than the designer's field-against-homogeneity lever, and it was picked by sweeping it on exactly this geometry, keeping the bottom of the band at 19 mm and moving the top: top 28 mm gave 1383 ppm at 410 mT (17.45 MHz, 93 mm across), top 32 mm gave 474 ppm at 359 mT (15.29 MHz, 101 mm), top 37 mm - what is set below - gives 210 ppm at 316 mT (13.46 MHz, 111 mm), and top 42 mm gave 69 ppm at 272 mT (11.57 MHz, 121 mm). Raise the top for line width, lower it for signal. 37 mm is the balance and not a discovery; if the instrument is for spectroscopy rather than relaxometry, 42 mm is the better end of that trade.", + + "ring_count": 21, + "ring_separation": 0.009, + + "_ring_geometry": "21 rings on a 9 mm pitch: the 8 mm cube plus a millimetre of glue line, so the rings are as tightly stacked as they can be. 180 mm of length against a 20 mm bore radius is a long cylinder, and length is what makes the middle of a Halbach uniform along its axis. It also buys eleven genes rather than seven, which is eleven places the optimizer can correct the fall-off at the ends.", + + "_element": "8 mm N52 cubes, Br = 1.42 T, which is the polarization the cuboid kernel wants. Cube size is the other lever and was also measured, at the same 26.7 mm bore and a band reaching to 36-38 mm, with the ring pitch tracking the cube and the ring count set to keep the magnet the same length: 6 mm cubes gave 110 ppm but only 241 mT from 1043 magnets, 8 mm gave 171 ppm at 308 mT from 725, 10 mm gave 344 ppm at 379 mT from 475. Bigger cubes mean more field and fewer of them, and fewer ring positions to correct with, so worse homogeneity. 8 mm is the balance: a quarter more field than 6 mm with a third fewer magnets to buy, glue and align, and 8 mm N52 is about the largest cube that is still sane to handle by hand.", + + "element": { + "size": 0.008, + "remanence": 1.42 + }, + + "_candidates": "19 radii from 19 to 37 mm on a 1 mm step, the magnet count following so that each cube gets about 1.5 times its own side of arc. Two 8 mm cubes turned corner-on need 1.414 sides between centres not to touch; the tightest pair here has 1.440, so every candidate clears. The smallest radius is what sets the usable bore, because the tube has to pass the whole length of the magnet and the optimizer puts its smallest rings at the ends.", + + "candidates": [ + {"radius": 0.019, "count": 10}, + {"radius": 0.020, "count": 10}, + {"radius": 0.021, "count": 11}, + {"radius": 0.022, "count": 12}, + {"radius": 0.023, "count": 12}, + {"radius": 0.024, "count": 13}, + {"radius": 0.025, "count": 13}, + {"radius": 0.026, "count": 14}, + {"radius": 0.027, "count": 14}, + {"radius": 0.028, "count": 15}, + {"radius": 0.029, "count": 15}, + {"radius": 0.030, "count": 16}, + {"radius": 0.031, "count": 16}, + {"radius": 0.032, "count": 17}, + {"radius": 0.033, "count": 17}, + {"radius": 0.034, "count": 18}, + {"radius": 0.035, "count": 18}, + {"radius": 0.036, "count": 19}, + {"radius": 0.037, "count": 19} + ], + + "_layers": "The second layer sits 13 mm further out with 7 more magnets. 13 mm is the least that clears, since an 8 mm cube reaches 5.66 mm from its centre when turned corner-on and two layers need 11.3 mm plus a former wall. The +7 holds at every radius because 13 mm of extra circumference is almost exactly 7 more magnets at this pitch.", + + "outer_radius_offset": 0.013, + "outer_count_offset": 7, + + "order": 1, + + "_dsv": "A 20 mm sphere, which covers a 10 mm tube over 17.3 mm of its height - a realistic sensitive length for a solenoid on a tube this size. Keeping it a small fraction of the bore is the cheapest homogeneity there is, since the field degrades quickly towards the magnets. A longer RF coil means raising this, and the ppm will rise with it.", + + "dsv": 0.02, + "resolution": 0.0005, + + "symmetry": "octant", + + "_objective": "ppm_bmag rather than the ppm_bx the imaging design uses. A nucleus precesses at a frequency set by the magnitude of the field where it sits, so |B| is what a line width is made of. In a good Halbach the field is almost all along x and the two figures nearly agree, but it is |B| that has to be flat.", + + "objective": "ppm_bmag", + "field_model": "cuboid", + + "_genetic": "Eleven genes over nineteen candidates is 19^11, and the basis here is small enough that a generation costs a fraction of a second. This converges inside about 50 generations; the rest is insurance against a run that starts badly.", + + "genetic": { + "population": 10000, + "generations": 120, + "cx_prob": 0.55, + "mut_prob": 0.4, + "gene_mut_prob": 0.05, + "tournament": 3, + "elitism": 2, + "seed": 42 + }, + + "_what_this_is_not": "The geometry alone. A magnet built to this still needs passive shims, a temperature controlled housing - NdFeB drifts about -1100 ppm per kelvin, which swamps everything here - and, for spectroscopy, an active shim set. Those take a hundred-odd ppm down to the sub-ppm a liquid spectrum needs. Note also that the profile the optimizer returns need not be smooth: it finds cancellations, and an irregular one will be more sensitive to build tolerance than a monotone taper. Two layers is as many as this ring model parametrizes, and it is what caps the field at a few hundred mT; more field means more layers, which you can add by hand to the arrangements in the output file." + } +} diff --git a/designs/nmr-21ring-10mm-tube/convergence.csv b/designs/nmr-21ring-10mm-tube/convergence.csv new file mode 100644 index 0000000..074d101 --- /dev/null +++ b/designs/nmr-21ring-10mm-tube/convergence.csv @@ -0,0 +1,122 @@ +generation,best_ppm,best_ever_ppm,mean_ppm,seconds +0,962.047,962.047,102988,8.8e-08 +1,934.039,934.039,54655.6,0.416493 +2,781.089,781.089,33674.3,0.47349 +3,395.487,395.487,23266.9,0.593194 +4,395.487,395.487,18263.2,0.464699 +5,395.487,395.487,15008.2,0.502346 +6,395.487,395.487,13311.4,0.514501 +7,395.487,395.487,12137.5,0.3921 +8,285.704,285.704,12306.6,0.37552 +9,285.704,285.704,10892.9,0.40809 +10,285.704,285.704,10394.6,0.370897 +11,266.412,266.412,9355.71,0.451017 +12,229.544,229.544,9531.51,0.403318 +13,229.544,229.544,8688.11,0.410334 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"inner_count": 19, + "inner_radius": 0.036, + "outer_count": 26, + "outer_radius": 0.049, + "ring_position": 0.018 + }, + { + "candidate": 15, + "inner_count": 18, + "inner_radius": 0.034, + "outer_count": 25, + "outer_radius": 0.047, + "ring_position": 0.027 + }, + { + "candidate": 18, + "inner_count": 19, + "inner_radius": 0.037, + "outer_count": 26, + "outer_radius": 0.05, + "ring_position": 0.03599999 + }, + { + "candidate": 10, + "inner_count": 15, + "inner_radius": 0.029, + "outer_count": 22, + "outer_radius": 0.042, + "ring_position": 0.04499999 + }, + { + "candidate": 13, + "inner_count": 17, + "inner_radius": 0.032, + "outer_count": 24, + "outer_radius": 0.045, + "ring_position": 0.054 + }, + { + "candidate": 0, + "inner_count": 10, + "inner_radius": 0.019, + "outer_count": 17, + "outer_radius": 0.032, + "ring_position": 0.063 + }, + { + "candidate": 4, + "inner_count": 12, + "inner_radius": 0.023, + "outer_count": 19, + "outer_radius": 0.036, + "ring_position": 0.072 + }, + { 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"ring_count": 21, + "ring_separation": 0.009, + "symmetry": "octant", + "timing_s": { + "basis": 21.136262947, + "evolution": 48.485470553, + "verification": 8.516497731 + }, + "verified": { + "homogeneity_ppm": 214.716, + "max_T": 0.3160788, + "mean_T": 0.3160448, + "min_T": 0.316011, + "peak_to_peak_T": 6.785989e-05, + "points": 33401 + } + } +} diff --git a/designs/nmr-2ring-10magnets/config.json b/designs/nmr-2ring-10magnets/config.json new file mode 100644 index 0000000..169a3af --- /dev/null +++ b/designs/nmr-2ring-10magnets/config.json @@ -0,0 +1,164 @@ +{ + "halbach_optimization": { + "_design": "Two rings under a hard budget of fewer than 12 magnets: 10 cubes of 24 mm N52, four rings of 2 and 3, 58 mm long over the end cubes and 210 mm across, with a 70 mm free bore. As run it gives 84 mT - 3.57 MHz for protons - and 9396 ppm over a 4 mm sample sphere. That is nearly one percent, and it is not a working NMR magnet. It is here because the constraint was asked for, and this is what the constraint costs.", + "_the_constraint": "Two ring positions times two layers is four rings, so the total is 4N + 2d for an inner count N and an outer offset d. Every combination under 12 needs N of 1 or 2, and a ring of fewer than three magnets is not a Halbach ring: the identities that leave a uniform field, sum(cos 2t) = 0 and sum(cos^2 t) = N/2, first hold at N = 3. The smallest genuine two ring Halbach here is N = 3 with d = 0, which is exactly 12 magnets and so just outside the budget. N = 2 with d = 1, ten magnets in rings of 2, 3, 2, 3, is the most the budget allows and the best allocation in it, since the outer rings at least reach three. The inner pair does not, and that is why the numbers below are what they are.", + "ring_count": 2, + "ring_separation": 0.034, + "_ring_separation": "34 mm. It barely matters. With no uniform term to work with, the optimizer's only strategy is to move everything away from the sample, and it rails at whatever radius the candidate list allows however the separation is set: with the list reaching 52 mm it returns 52 mm, with the list reaching 72 mm it returns 72 mm and still 6800 ppm at a 250 mm outside diameter. There is no interior optimum. The list is capped at 52 mm here to keep the magnet a sane size rather than to find a minimum, because there is not one to find.", + "_element": "24 mm N52 cubes, the largest in this family, because with two magnets to a ring nothing else gives any field at all. A 24 mm N52 cube weighs about 100 g and the force between two in contact runs to hundreds of newtons. Handle with jigs and gloves.", + "element": { + "size": 0.024, + "remanence": 1.42 + }, + "_candidates": "31 radii from 22 to 52 mm, every one carrying two magnets - the count is set by the budget, not by packing, and two cubes on a ring are never close to touching. With one gene this list is the entire search space, and the answer is simply its top entry.", + "candidates": [ + { + "radius": 0.022, + "count": 2 + }, + { + "radius": 0.023, + "count": 2 + }, + { + "radius": 0.024, + "count": 2 + }, + { + "radius": 0.025, + "count": 2 + }, + { + "radius": 0.026, + "count": 2 + }, + { + "radius": 0.027, + "count": 2 + }, + { + "radius": 0.028, + "count": 2 + }, + { + "radius": 0.029, + "count": 2 + }, + { + "radius": 0.03, + "count": 2 + }, + { + "radius": 0.031, + "count": 2 + }, + { + "radius": 0.032, + "count": 2 + }, + { + "radius": 0.033, + "count": 2 + }, + { + "radius": 0.034, + "count": 2 + }, + { + "radius": 0.035, + "count": 2 + }, + { + "radius": 0.036, + "count": 2 + }, + { + "radius": 0.037, + "count": 2 + }, + { + "radius": 0.038, + "count": 2 + }, + { + "radius": 0.039, + "count": 2 + }, + { + "radius": 0.04, + "count": 2 + }, + { + "radius": 0.041, + "count": 2 + }, + { + "radius": 0.042, + "count": 2 + }, + { + "radius": 0.043, + "count": 2 + }, + { + "radius": 0.044, + "count": 2 + }, + { + "radius": 0.045, + "count": 2 + }, + { + "radius": 0.046, + "count": 2 + }, + { + "radius": 0.047, + "count": 2 + }, + { + "radius": 0.048, + "count": 2 + }, + { + "radius": 0.049, + "count": 2 + }, + { + "radius": 0.05, + "count": 2 + }, + { + "radius": 0.051, + "count": 2 + }, + { + "radius": 0.052, + "count": 2 + } + ], + "outer_radius_offset": 0.036, + "outer_count_offset": 1, + "_layers": "36 mm out with one more magnet, the closest two layers of 24 mm cubes can sit. The outer rings are the only real Halbach rings in this magnet, and they are the far ones.", + "order": 1, + "_symmetry": "full rather than octant. A ring of two or three magnets carries a low order harmonic that the octant reflections do not respect, so an eighth of the sphere is not a fair sample of the field. See the same note in the three ring version, where the difference between the two was 531 ppm against an honest 719.", + "dsv": 0.004, + "resolution": 0.0001, + "symmetry": "full", + "objective": "ppm_bmag", + "field_model": "cuboid", + "_dsv": "4 mm, a capillary. Asking for more only makes the number larger.", + "_genetic": "One gene over 31 radii. Crossover is inert on a one gene genome and the population sees every candidate in generation zero, so this is an exhaustive scan and the settings say so rather than search.", + "genetic": { + "population": 20000, + "generations": 25, + "cx_prob": 0.55, + "mut_prob": 0.4, + "gene_mut_prob": 0.4, + "tournament": 3, + "elitism": 2, + "seed": 42 + }, + "_verdict": "Do not build this. 9396 ppm is a field varying by nearly one percent across a 4 mm sample: at 3.57 MHz the line would be some 34 kHz wide, and no FID worth acquiring survives it. It also needs a 210 mm outside diameter and 100 g magnets to achieve that. The constraint of fewer than twelve magnets sits below the floor where a two layer Halbach exists at all, and the honest answer to the request is this number rather than a design. If the count is what matters, three_ring_21magnets_halbach_optim.json does 602 ppm with 21 magnets; if the magnet matters, two_ring_halbach_optim.json does 246 ppm with 86." + } +} diff --git a/designs/nmr-2ring-10magnets/convergence.csv b/designs/nmr-2ring-10magnets/convergence.csv new file mode 100644 index 0000000..b47315f --- /dev/null +++ b/designs/nmr-2ring-10magnets/convergence.csv @@ -0,0 +1,27 @@ +generation,best_ppm,best_ever_ppm,mean_ppm,seconds +0,9396.36,9396.36,15687.9,1.1e-07 +1,9396.36,9396.36,11622,1.7946 +2,9396.36,9396.36,10940.1,2.02754 +3,9396.36,9396.36,10562.5,1.82358 +4,9396.36,9396.36,10455.1,1.47203 +5,9396.36,9396.36,10369.5,1.4414 +6,9396.36,9396.36,10419.1,1.446 +7,9396.36,9396.36,10427.3,1.51138 +8,9396.36,9396.36,10365.4,1.43971 +9,9396.36,9396.36,10372.6,1.43674 +10,9396.36,9396.36,10378.6,1.466 +11,9396.36,9396.36,10414.8,1.66243 +12,9396.36,9396.36,10444.2,1.7616 +13,9396.36,9396.36,10393.1,1.8329 +14,9396.36,9396.36,10351.3,1.67783 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], + "radius": 0.088 + }, + "type": "halbach_ring" + }, + { + "id": 3, + "parameters": { + "count": 2, + "element": { + "parameters": { + "dimensions": [ + 0.024, + 0.024, + 0.024 + ], + "magnetization": [ + 1.42, + 0.0, + 0.0 + ] + }, + "type": "cuboid" + }, + "order": 1, + "orientation": [ + 1.0, + 0.0, + 0.0, + 0.0 + ], + "position": [ + 0.0, + 0.0, + -0.017 + ], + "radius": 0.052 + }, + "type": "halbach_ring" + }, + { + "id": 4, + "parameters": { + "count": 3, + "element": { + "parameters": { + "dimensions": [ + 0.024, + 0.024, + 0.024 + ], + "magnetization": [ + 1.42, + 0.0, + 0.0 + ] + }, + "type": "cuboid" + }, + "order": 1, + "orientation": [ + 1.0, + 0.0, + 0.0, + 0.0 + ], + "position": [ + 0.0, + 0.0, + -0.017 + ], + "radius": 0.088 + }, + "type": "halbach_ring" + } + ], + "field_of_view": { + "x": { + "max": 0.002, + "min": -0.002, + "n": 41 + }, + "y": { + "max": 0.002, + "min": -0.002, + "n": 41 + }, + "z": { + "max": 0.002, + "min": -0.002, + "n": 41 + } + }, + "halbach_optimization": { + "basis": { + "configurations": 31, + "magnets": 310, + "points": 33401 + }, + "candidates": [ + { + "count": 2, + "radius": 0.022 + }, + { + "count": 2, + "radius": 0.023 + }, + { + "count": 2, + "radius": 0.024 + }, + { + "count": 2, + "radius": 0.025 + }, + { + "count": 2, + "radius": 0.026 + }, + { + "count": 2, + "radius": 0.027 + }, + { + "count": 2, + "radius": 0.028 + }, + { + "count": 2, + "radius": 0.029 + }, + { + "count": 2, + "radius": 0.03 + }, + { + "count": 2, + "radius": 0.031 + }, + { + "count": 2, + "radius": 0.032 + }, + { + "count": 2, + "radius": 0.033 + }, + { + "count": 2, + "radius": 0.034 + }, + { + "count": 2, + "radius": 0.035 + }, + { + "count": 2, + "radius": 0.036 + }, + { + "count": 2, + "radius": 0.037 + }, + { + "count": 2, + "radius": 0.038 + }, + { + "count": 2, + "radius": 0.039 + }, + { + "count": 2, + "radius": 0.04 + }, + { + "count": 2, + "radius": 0.041 + }, + { + "count": 2, + "radius": 0.042 + }, + { + "count": 2, + "radius": 0.043 + }, + { + "count": 2, + "radius": 0.044 + }, + { + "count": 2, + "radius": 0.045 + }, + { + "count": 2, + "radius": 0.046 + }, + { + "count": 2, + "radius": 0.047 + }, + { + "count": 2, + "radius": 0.048 + }, + { + "count": 2, + "radius": 0.049 + }, + { + "count": 2, + "radius": 0.05 + }, + { + "count": 2, + "radius": 0.051 + }, + { + "count": 2, + "radius": 0.052 + } + ], + "chosen": [ + { + "candidate": 30, + "inner_count": 2, + "inner_radius": 0.052, + "outer_count": 3, + "outer_radius": 0.088, + "ring_position": 0.017 + } + ], + "dsv": 0.004, + "element": { + "remanence": 1.42, + "size": 0.024 + }, + "field_model": "cuboid", + "generations_run": 25, + "genetic": { + "cx_prob": 0.55, + "elitism": 2, + "gene_mut_prob": 0.4, + "generations": 25, + "mut_prob": 0.4, + "population": 20000, + "seed": 42, + "tournament": 3 + }, + "genome": [ + 30 + ], + "magnet_count": 10, + "objective": "ppm_bmag", + "optimized": { + "homogeneity_ppm": 9396.362, + "max_T": 0.08448108, + "mean_T": 0.0839498, + "min_T": 0.08369226, + "peak_to_peak_T": 0.0007888228, + "points": 33401 + }, + "order": 1, + "outer_count_offset": 1, + "outer_radius_offset": 0.036, + "resolution": 0.0001, + "ring_count": 2, + "ring_separation": 0.034, + "symmetry": "full", + "timing_s": { + "basis": 3.308185835, + "evolution": 42.670662898, + "verification": 0.109581642 + }, + "verified": { + "homogeneity_ppm": 9396.362, + "max_T": 0.08448108, + "mean_T": 0.0839498, + "min_T": 0.08369226, + "peak_to_peak_T": 0.0007888228, + "points": 33401 + } + } +} diff --git a/designs/nmr-2ring-5mm-tube/config.json b/designs/nmr-2ring-5mm-tube/config.json new file mode 100644 index 0000000..46dffbc --- /dev/null +++ b/designs/nmr-2ring-5mm-tube/config.json @@ -0,0 +1,267 @@ +{ + "halbach_optimization": { + "_design": "The end of the line: two rings, two layers, 86 cubes of 8 mm N52, 38 mm long over the end cubes and 106 mm across, with a 57 mm free bore. As run it gives 83 mT - 3.52 MHz for protons - and 245 ppm over a 6 mm sample sphere, which covers a 4 mm liquid column over 4.5 mm. A 5 mm tube, a short coil, and a magnet that is mostly empty space.", + "_why_this_shape": "Two rings mirror down to a single gene. There is no profile left to shape and nothing for crossover to do: the run is a one dimensional scan over 57 radii, and the design is set by the ring separation, which the optimizer cannot touch. What it can do is choose the radius that suits the separation, and it does so consistently. A pair of order-1 Halbach rings has a flat centre when the second derivative of C/(R^2+h^2)^2.5 vanishes at the origin, which gives R^2 = 6z^2, that is separation = 0.8165 R - the Halbach analogue of the Helmholtz condition, where current loops want separation = R. Across the sweep the optimizer picked separation/R = 0.875 every time, the small excess being the compromise between the inner layer and the outer one 13 mm further out, which wants a proportionally wider separation than the inner.", + "ring_count": 2, + "ring_separation": 0.03, + "_ring_separation": "30 mm, and with the ratio above fixed this also fixes the radius near 34 mm, the bore near 57 mm and the field near 83 mT. That coupling is the whole character of a two ring magnet: homogeneity comes only from making the sample a small fraction of the radius, the separation must follow the radius, so a homogeneous two ring magnet is necessarily a large, weak, mostly hollow one. Swept at a 6 mm DSV: 26 mm gave 447 ppm at 110 mT, 30 mm gives 245 ppm at 83 mT, 36 mm gave 166 ppm at 60 mT, and 42 mm ran off the top of the candidate list and fell apart at 1968 ppm. There is no setting that is both homogeneous and strong.", + "_element": "8 mm N52 cubes, Br = 1.42 T, kept the same as the other designs so all four can be built from one order of magnets.", + "element": { + "size": 0.008, + "remanence": 1.42 + }, + "_candidates": "57 radii from 16.2 to 44.2 mm on a 0.5 mm step, the count being the densest packing that still leaves each cube 1.45 times its own side of arc. With one gene the candidate list IS the search space, so its resolution is the resolution of the answer. Note that the bottom of the list is never used here - a two ring magnet wants to be large - so the free bore is set by the radius actually chosen, not by the smallest candidate.", + "candidates": [ + { + "radius": 0.0162, + "count": 8 + }, + { + "radius": 0.0167, + "count": 9 + }, + { + "radius": 0.0172, + "count": 9 + }, + { + "radius": 0.0177, + "count": 9 + }, + { + "radius": 0.0182, + "count": 9 + }, + { + "radius": 0.0187, + "count": 10 + }, + { + "radius": 0.0192, + "count": 10 + }, + { + "radius": 0.0197, + "count": 10 + }, + { + "radius": 0.0202, + "count": 10 + }, + { + "radius": 0.0207, + "count": 11 + }, + { + "radius": 0.0212, + "count": 11 + }, + { + "radius": 0.0217, + "count": 11 + }, + { + "radius": 0.0222, + "count": 12 + }, + { + "radius": 0.0227, + "count": 12 + }, + { + "radius": 0.0232, + "count": 12 + }, + { + "radius": 0.0237, + "count": 12 + }, + { + "radius": 0.0242, + "count": 13 + }, + { + "radius": 0.0247, + "count": 13 + }, + { + "radius": 0.0252, + "count": 13 + }, + { + "radius": 0.0257, + "count": 13 + }, + { + "radius": 0.0262, + "count": 14 + }, + { + "radius": 0.0267, + "count": 14 + }, + { + "radius": 0.0272, + "count": 14 + }, + { + "radius": 0.0277, + "count": 15 + }, + { + "radius": 0.0282, + "count": 15 + }, + { + "radius": 0.0287, + "count": 15 + }, + { + "radius": 0.0292, + "count": 15 + }, + { + "radius": 0.0297, + "count": 16 + }, + { + "radius": 0.0302, + "count": 16 + }, + { + "radius": 0.0307, + "count": 16 + }, + { + "radius": 0.0312, + "count": 16 + }, + { + "radius": 0.0317, + "count": 17 + }, + { + "radius": 0.0322, + "count": 17 + }, + { + "radius": 0.0327, + "count": 17 + }, + { + "radius": 0.0332, + "count": 17 + }, + { + "radius": 0.0337, + "count": 18 + }, + { + "radius": 0.0342, + "count": 18 + }, + { + "radius": 0.0347, + "count": 18 + }, + { + "radius": 0.0352, + "count": 18 + }, + { + "radius": 0.0357, + "count": 19 + }, + { + "radius": 0.0362, + "count": 19 + }, + { + "radius": 0.0367, + "count": 19 + }, + { + "radius": 0.0372, + "count": 19 + }, + { + "radius": 0.0377, + "count": 20 + }, + { + "radius": 0.0382, + "count": 20 + }, + { + "radius": 0.0387, + "count": 20 + }, + { + "radius": 0.0392, + "count": 21 + }, + { + "radius": 0.0397, + "count": 21 + }, + { + "radius": 0.0402, + "count": 21 + }, + { + "radius": 0.0407, + "count": 21 + }, + { + "radius": 0.0412, + "count": 22 + }, + { + "radius": 0.0417, + "count": 22 + }, + { + "radius": 0.0422, + "count": 22 + }, + { + "radius": 0.0427, + "count": 22 + }, + { + "radius": 0.0432, + "count": 23 + }, + { + "radius": 0.0437, + "count": 23 + }, + { + "radius": 0.0442, + "count": 23 + } + ], + "_layers": "13 mm out with 7 more magnets, as in the other designs.", + "outer_radius_offset": 0.013, + "outer_count_offset": 7, + "order": 1, + "_dsv": "6 mm, half the five ring design's. It covers a 4 mm liquid column over 4.5 mm, so the sample is a 5 mm tube with a short coil. Asking for 8 mm on this geometry gives about 723 ppm, and 12 mm gives about 3400 ppm; two rings simply cannot hold a larger volume.", + "dsv": 0.006, + "resolution": 0.00015, + "symmetry": "octant", + "objective": "ppm_bmag", + "field_model": "cuboid", + "_genetic": "One gene and 57 possible values, so a population of 1000 sees every one of them in generation zero with better than 99 percent certainty and the remaining generations change nothing. Crossover is inert on a one gene genome. This is an exhaustive scan wearing a genetic algorithm's clothes, and the settings are sized to say so rather than to search.", + "genetic": { + "population": 1000, + "generations": 10, + "cx_prob": 0.55, + "mut_prob": 0.4, + "gene_mut_prob": 0.4, + "tournament": 3, + "elitism": 2, + "seed": 42 + }, + "_what_this_is_not": "Worth building unless the point is the exercise. At 3.5 MHz and 245 ppm over 6 mm it is weaker than the three ring design, no more homogeneous, needs a 133 mm outside diameter to hold a 5 mm tube, and uses nearly as many magnets. If the goal is the fewest parts that still do NMR, the three ring design at 179 mT is the better answer; if the goal is the smallest possible ring count, this is what that costs." + } +} diff --git a/designs/nmr-2ring-5mm-tube/convergence.csv b/designs/nmr-2ring-5mm-tube/convergence.csv new file mode 100644 index 0000000..33b3d85 --- /dev/null +++ b/designs/nmr-2ring-5mm-tube/convergence.csv @@ -0,0 +1,12 @@ +generation,best_ppm,best_ever_ppm,mean_ppm,seconds +0,244.965,244.965,22417.7,3.9e-08 +1,244.965,244.965,7718.32,0.00691352 +2,244.965,244.965,4984.43,0.00683997 +3,244.965,244.965,3869.53,0.0120782 +4,244.965,244.965,4563.53,0.0296319 +5,244.965,244.965,3889.04,0.0375255 +6,244.965,244.965,3956.83,0.0109182 +7,244.965,244.965,4013.45,0.0151188 +8,244.965,244.965,3477.08,0.0147321 +9,244.965,244.965,3539,0.0229477 +10,244.965,244.965,4553.08,0.0134874 diff --git a/designs/nmr-2ring-5mm-tube/field.csv b/designs/nmr-2ring-5mm-tube/field.csv new file mode 100644 index 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"outer_count_offset": 7, + "outer_radius_offset": 0.013, + "resolution": 0.00015, + "ring_count": 2, + "ring_separation": 0.03, + "symmetry": "octant", + "timing_s": { + "basis": 6.028677939, + "evolution": 0.177091826, + "verification": 0.734222195 + }, + "verified": { + "homogeneity_ppm": 246.0453, + "max_T": 0.08276622, + "mean_T": 0.0827589, + "min_T": 0.08274586, + "peak_to_peak_T": 2.036244e-05, + "points": 33401 + } + } +} diff --git a/designs/nmr-3ring-21magnets/config.json b/designs/nmr-3ring-21magnets/config.json new file mode 100644 index 0000000..d1f1cc2 --- /dev/null +++ b/designs/nmr-3ring-21magnets/config.json @@ -0,0 +1,244 @@ +{ + "halbach_optimization": { + "_design": "Three rings under a hard budget of fewer than 24 magnets: 21 cubes of 24 mm N52, six rings of 3 and 4, 88 mm long over the end cubes and 200 mm across, with a 50 mm free bore. As run it gives 171 mT - 7.29 MHz for protons - and 602 ppm over a 4 mm sample sphere, which covers a 2 mm liquid column over 3.5 mm. That is a capillary, not the 10 mm tube the larger designs serve.", + "_the_constraint": "The budget, not the optimizer, designs this magnet. Three ring positions times two layers is six rings, so fewer than 24 magnets means at most three or four in each. Three is the floor: the identities that leave a Halbach ring with a uniform field inside, sum(cos 2t) = 0 and sum(cos^2 t) = N/2, first hold at N = 3. So this is the smallest three ring Halbach that is a Halbach at all, and the arithmetic is 2*3 + 4*3 + 3*1 = 21. Note also that outer_count_offset cannot be negative, so the far and much weaker outer layer is forced to carry at least as many magnets as the near one - exactly backwards for field per magnet, and unavoidable here.", + "ring_count": 3, + "ring_separation": 0.032, + "_ring_separation": "32 mm against 24 mm cubes. Swept on this geometry at a 4 mm DSV: 32 mm gave 531 ppm at 153 mT, 40 mm gave 308 ppm at 97 mT, 48 mm gave 200 ppm at 66 mT. Wider is flatter and weaker, as always, and the magnet grows with it. 32 mm keeps the field worth having.", + "_element": "24 mm N52 cubes. With only three magnets to a ring the field collapses unless each one is large, and the sweep bears that out: at the same bore and separation, 12 mm cubes gave 64 mT, 16 mm gave 131 mT, 20 mm gave 249 mT, 24 mm gave 386 mT. Be careful. A 24 mm N52 cube weighs about 100 g and the force between two of them in contact runs to hundreds of newtons; twenty-one of them is a serious injury risk to assemble by hand and needs jigs, spacers and gloves. 20 mm cubes cost about a third of the field and are meaningfully safer.", + "element": { + "size": 0.024, + "remanence": 1.42 + }, + "_candidates": "51 radii from 22 to 72 mm, every one carrying three magnets. The count is fixed rather than following the radius, because here it is set by the magnet budget and not by packing: three cubes on a 47 mm ring are nowhere near touching. The radius, not the count, is what the optimizer chooses. 22 mm is the smallest radius at which a 24 mm cube turned corner-on still clears a 10 mm bore.", + "candidates": [ + { + "radius": 0.022, + "count": 3 + }, + { + "radius": 0.023, + "count": 3 + }, + { + "radius": 0.024, + "count": 3 + }, + { + "radius": 0.025, + "count": 3 + }, + { + "radius": 0.026, + "count": 3 + }, + { + "radius": 0.027, + "count": 3 + }, + { + "radius": 0.028, + "count": 3 + }, + { + "radius": 0.029, + "count": 3 + }, + { + "radius": 0.03, + "count": 3 + }, + { + "radius": 0.031, + "count": 3 + }, + { + "radius": 0.032, + "count": 3 + }, + { + "radius": 0.033, + "count": 3 + }, + { + "radius": 0.034, + "count": 3 + }, + { + "radius": 0.035, + "count": 3 + }, + { + "radius": 0.036, + "count": 3 + }, + { + "radius": 0.037, + "count": 3 + }, + { + "radius": 0.038, + "count": 3 + }, + { + "radius": 0.039, + "count": 3 + }, + { + "radius": 0.04, + "count": 3 + }, + { + "radius": 0.041, + "count": 3 + }, + { + "radius": 0.042, + "count": 3 + }, + { + "radius": 0.043, + "count": 3 + }, + { + "radius": 0.044, + "count": 3 + }, + { + "radius": 0.045, + "count": 3 + }, + { + "radius": 0.046, + "count": 3 + }, + { + "radius": 0.047, + "count": 3 + }, + { + "radius": 0.048, + "count": 3 + }, + { + "radius": 0.049, + "count": 3 + }, + { + "radius": 0.05, + "count": 3 + }, + { + "radius": 0.051, + "count": 3 + }, + { + "radius": 0.052, + "count": 3 + }, + { + "radius": 0.053, + "count": 3 + }, + { + "radius": 0.054, + "count": 3 + }, + { + "radius": 0.055, + "count": 3 + }, + { + "radius": 0.056, + "count": 3 + }, + { + "radius": 0.057, + "count": 3 + }, + { + "radius": 0.058, + "count": 3 + }, + { + "radius": 0.059, + "count": 3 + }, + { + "radius": 0.06, + "count": 3 + }, + { + "radius": 0.061, + "count": 3 + }, + { + "radius": 0.062, + "count": 3 + }, + { + "radius": 0.063, + "count": 3 + }, + { + "radius": 0.064, + "count": 3 + }, + { + "radius": 0.065, + "count": 3 + }, + { + "radius": 0.066, + "count": 3 + }, + { + "radius": 0.067, + "count": 3 + }, + { + "radius": 0.068, + "count": 3 + }, + { + "radius": 0.069, + "count": 3 + }, + { + "radius": 0.07, + "count": 3 + }, + { + "radius": 0.071, + "count": 3 + }, + { + "radius": 0.072, + "count": 3 + } + ], + "outer_radius_offset": 0.036, + "outer_count_offset": 1, + "_layers": "36 mm out with one more magnet. A 24 mm cube reaches 16.97 mm from its centre turned corner-on, so two layers need 33.9 mm plus a former wall, which leaves 2.1 mm. At that distance the outer layer contributes only a few percent of what the inner one does while eating nearly half the budget - the price of a ring model that always builds two layers.", + "order": 1, + "_symmetry": "full, not octant, and this matters here. An order-1 Halbach ring of N magnets carries field harmonics at n = mN +- 1, so a three magnet ring carries n = 2: a gradient, which is not symmetric under the octant reflections. Optimizing over an eighth of the sphere therefore measures the wrong thing at this magnet count. It showed: the octant search returned 531 ppm but the honest whole-sphere figure for that answer was 719 ppm, while searching the whole sphere directly gives 602 ppm at a higher field. Every design here with ten or more magnets to a ring agrees between octant and full to within about one percent; these do not.", + "dsv": 0.004, + "resolution": 0.0001, + "symmetry": "full", + "objective": "ppm_bmag", + "field_model": "cuboid", + "_dsv": "4 mm. It covers a 2 mm liquid column over 3.5 mm, so the sample is a capillary or a 3 mm tube with a very short coil. Twenty-one magnets cannot hold more than that.", + "_genetic": "Two genes over 51 radii is 2601 combinations, so a population of 20000 enumerates the space in generation zero and the answer is the global optimum. The run is dominated by the whole-sphere objective, which is eight times the points of an octant one.", + "genetic": { + "population": 20000, + "generations": 25, + "cx_prob": 0.55, + "mut_prob": 0.4, + "gene_mut_prob": 0.4, + "tournament": 3, + "elitism": 2, + "seed": 42 + }, + "_verdict": "Buildable and just about usable, unlike the two ring version. 602 ppm at 7.3 MHz over a capillary is a relaxometry or teaching instrument at best, and the magnet is 200 mm across to hold a 2 mm sample - almost all of it empty space, which is what a two layer ring model does when it is only allowed twenty-one magnets. If the goal is few parts rather than few magnets, three_ring_halbach_optim.json at 99 magnets is 247 ppm at 7.6 MHz in a 93 mm envelope, and is the better magnet by every measure except the count." + } +} diff --git a/designs/nmr-3ring-21magnets/convergence.csv b/designs/nmr-3ring-21magnets/convergence.csv new file mode 100644 index 0000000..7fc3d28 --- /dev/null +++ b/designs/nmr-3ring-21magnets/convergence.csv @@ -0,0 +1,27 @@ +generation,best_ppm,best_ever_ppm,mean_ppm,seconds +0,602.51,602.51,24589.2,8.4e-08 +1,602.51,602.51,13701.2,1.95669 +2,602.51,602.51,10660.6,1.92355 +3,602.51,602.51,9160.15,1.78673 +4,602.51,602.51,8239.16,2.27264 +5,602.51,602.51,7597.06,2.40316 +6,602.51,602.51,7221.79,2.76825 +7,602.51,602.51,7467.24,3.10917 +8,602.51,602.51,7075.62,2.64038 +9,602.51,602.51,7009.37,2.43327 +10,602.51,602.51,6719.44,2.43661 +11,602.51,602.51,6427.83,2.39106 +12,602.51,602.51,6303.92,2.22002 +13,602.51,602.51,6057.07,2.15369 +14,602.51,602.51,5869.62,2.07172 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{ + "id": 1, + "parameters": { + "count": 3, + "element": { + "parameters": { + "dimensions": [ + 0.024, + 0.024, + 0.024 + ], + "magnetization": [ + 1.42, + 0.0, + 0.0 + ] + }, + "type": "cuboid" + }, + "order": 1, + "orientation": [ + 1.0, + 0.0, + 0.0, + 0.0 + ], + "position": [ + 0.0, + 0.0, + 0.0 + ], + "radius": 0.047 + }, + "type": "halbach_ring" + }, + { + "id": 2, + "parameters": { + "count": 4, + "element": { + "parameters": { + "dimensions": [ + 0.024, + 0.024, + 0.024 + ], + "magnetization": [ + 1.42, + 0.0, + 0.0 + ] + }, + "type": "cuboid" + }, + "order": 1, + "orientation": [ + 1.0, + 0.0, + 0.0, + 0.0 + ], + "position": [ + 0.0, + 0.0, + 0.0 + ], + "radius": 0.083 + }, + "type": "halbach_ring" + }, + { + "id": 3, + "parameters": { + "count": 3, + "element": { + "parameters": { + "dimensions": [ + 0.024, + 0.024, + 0.024 + ], + "magnetization": [ + 1.42, + 0.0, + 0.0 + ] + }, + "type": "cuboid" + }, + "order": 1, + "orientation": [ + 1.0, + 0.0, + 0.0, + 0.0 + ], + 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}, + { + "count": 3, + "radius": 0.058 + }, + { + "count": 3, + "radius": 0.059 + }, + { + "count": 3, + "radius": 0.06 + }, + { + "count": 3, + "radius": 0.061 + }, + { + "count": 3, + "radius": 0.062 + }, + { + "count": 3, + "radius": 0.063 + }, + { + "count": 3, + "radius": 0.064 + }, + { + "count": 3, + "radius": 0.065 + }, + { + "count": 3, + "radius": 0.066 + }, + { + "count": 3, + "radius": 0.067 + }, + { + "count": 3, + "radius": 0.068 + }, + { + "count": 3, + "radius": 0.069 + }, + { + "count": 3, + "radius": 0.07 + }, + { + "count": 3, + "radius": 0.071 + }, + { + "count": 3, + "radius": 0.072 + } + ], + "chosen": [ + { + "candidate": 25, + "inner_count": 3, + "inner_radius": 0.047, + "outer_count": 4, + "outer_radius": 0.083, + "ring_position": 0.0 + }, + { + "candidate": 20, + "inner_count": 3, + "inner_radius": 0.042, + "outer_count": 4, + "outer_radius": 0.07799999, + "ring_position": 0.032 + } + ], + "dsv": 0.004, + "element": { + "remanence": 1.42, + "size": 0.024 + }, + "field_model": "cuboid", + "generations_run": 25, + "genetic": { + "cx_prob": 0.55, + "elitism": 2, + "gene_mut_prob": 0.4, + "generations": 25, + "mut_prob": 0.4, + "population": 20000, + "seed": 42, + "tournament": 3 + }, + "genome": [ + 25, + 20 + ], + "magnet_count": 21, + "objective": "ppm_bmag", + "optimized": { + "homogeneity_ppm": 602.5099, + "max_T": 0.171206, + "mean_T": 0.1711688, + "min_T": 0.1711029, + "peak_to_peak_T": 0.0001031309, + "points": 33401 + }, + "order": 1, + "outer_count_offset": 1, + "outer_radius_offset": 0.036, + "resolution": 0.0001, + "ring_count": 3, + "ring_separation": 0.032, + "symmetry": "full", + "timing_s": { + "basis": 9.871003433, + "evolution": 58.460392653, + "verification": 0.262323371 + }, + "verified": { + "homogeneity_ppm": 602.3359, + "max_T": 0.171206, + "mean_T": 0.1711688, + "min_T": 0.1711029, + "peak_to_peak_T": 0.0001031011, + "points": 33401 + } + } +} diff --git a/designs/nmr-3ring-5mm-tube/config.json b/designs/nmr-3ring-5mm-tube/config.json new file mode 100644 index 0000000..75f3fb6 --- /dev/null +++ b/designs/nmr-3ring-5mm-tube/config.json @@ -0,0 +1,267 @@ +{ + "halbach_optimization": { + "_design": "A three ring Halbach for a 5 mm NMR tube: two layers, 99 cubes of 8 mm N52, 44 mm long over the end cubes and 93 mm across, with a 36 mm free bore. As run it gives 179 mT - 7.60 MHz for protons - and 247 ppm over an 8 mm sample sphere, which covers a 4 mm liquid column over 6.9 mm of its height. The tube lies along the bore (z) and B0 is transverse (x), as in the other designs here.", + "_why_this_shape": "Three rings mirror down to two genes, so the search is 57^2 = 3249 combinations: an enumeration, not really an optimization. That matters, because it means the design is decided almost entirely by the two numbers the optimizer cannot touch - the ring separation and the cube size - and only trimmed by the radii it can. Compared with the five ring design in min_halbach_optim.json this is half the magnets and five sixths of the field, over a sample sphere two thirds the diameter. The rings are further apart than the cubes are thick, so the former has to hold three separated rings rather than a stack.", + "ring_count": 3, + "ring_separation": 0.018, + "_ring_separation": "18 mm, against 8 mm cubes, so there are 10 mm axial gaps. With this few rings the axial extent is the whole game and the separation is the strongest lever there is. Swept on this geometry at an 8 mm DSV: 14 mm gave 641 ppm at 275 mT from 85 magnets, 18 mm gives 247 ppm at 179 mT from 99, 22 mm gave 149 ppm at 114 mT from 123, 26 mm gave 36 ppm at 85 mT from 141. Spreading the rings buys homogeneity and costs field and magnets together, because the optimizer answers a wider separation by moving the rings outward. 18 mm is the point where the field is still worth having.", + "_element": "8 mm N52 cubes, Br = 1.42 T, the polarization the cuboid kernel wants. Same as the other small designs, so the three of them can be compared and built from one order of magnets.", + "element": { + "size": 0.008, + "remanence": 1.42 + }, + "_candidates": "57 radii from 16.2 to 44.2 mm on a 0.5 mm step, the count being the densest packing that still leaves each cube 1.45 times its own side of arc against the 1.414 two turned cubes need. The band reaches much higher than the five ring design because a widely spaced pair or triple wants a proportionally larger radius, and a list that stopped lower would simply rail. A fine step matters more here than with eleven genes: with two genes the answer is decided by which discrete (radius, count) pairs happen to exist.", + "candidates": [ + { + "radius": 0.0162, + "count": 8 + }, + { + "radius": 0.0167, + "count": 9 + }, + { + "radius": 0.0172, + "count": 9 + }, + { + "radius": 0.0177, + "count": 9 + }, + { + "radius": 0.0182, + "count": 9 + }, + { + "radius": 0.0187, + "count": 10 + }, + { + "radius": 0.0192, + "count": 10 + }, + { + "radius": 0.0197, + "count": 10 + }, + { + "radius": 0.0202, + "count": 10 + }, + { + "radius": 0.0207, + "count": 11 + }, + { + "radius": 0.0212, + "count": 11 + }, + { + "radius": 0.0217, + "count": 11 + }, + { + "radius": 0.0222, + "count": 12 + }, + { + "radius": 0.0227, + "count": 12 + }, + { + "radius": 0.0232, + "count": 12 + }, + { + "radius": 0.0237, + "count": 12 + }, + { + "radius": 0.0242, + "count": 13 + }, + { + "radius": 0.0247, + "count": 13 + }, + { + "radius": 0.0252, + "count": 13 + }, + { + "radius": 0.0257, + "count": 13 + }, + { + "radius": 0.0262, + "count": 14 + }, + { + "radius": 0.0267, + "count": 14 + }, + { + "radius": 0.0272, + "count": 14 + }, + { + "radius": 0.0277, + "count": 15 + }, + { + "radius": 0.0282, + "count": 15 + }, + { + "radius": 0.0287, + "count": 15 + }, + { + "radius": 0.0292, + "count": 15 + }, + { + "radius": 0.0297, + "count": 16 + }, + { + "radius": 0.0302, + "count": 16 + }, + { + "radius": 0.0307, + "count": 16 + }, + { + "radius": 0.0312, + "count": 16 + }, + { + "radius": 0.0317, + "count": 17 + }, + { + "radius": 0.0322, + "count": 17 + }, + { + "radius": 0.0327, + "count": 17 + }, + { + "radius": 0.0332, + "count": 17 + }, + { + "radius": 0.0337, + "count": 18 + }, + { + "radius": 0.0342, + "count": 18 + }, + { + "radius": 0.0347, + "count": 18 + }, + { + "radius": 0.0352, + "count": 18 + }, + { + "radius": 0.0357, + "count": 19 + }, + { + "radius": 0.0362, + "count": 19 + }, + { + "radius": 0.0367, + "count": 19 + }, + { + "radius": 0.0372, + "count": 19 + }, + { + "radius": 0.0377, + "count": 20 + }, + { + "radius": 0.0382, + "count": 20 + }, + { + "radius": 0.0387, + "count": 20 + }, + { + "radius": 0.0392, + "count": 21 + }, + { + "radius": 0.0397, + "count": 21 + }, + { + "radius": 0.0402, + "count": 21 + }, + { + "radius": 0.0407, + "count": 21 + }, + { + "radius": 0.0412, + "count": 22 + }, + { + "radius": 0.0417, + "count": 22 + }, + { + "radius": 0.0422, + "count": 22 + }, + { + "radius": 0.0427, + "count": 22 + }, + { + "radius": 0.0432, + "count": 23 + }, + { + "radius": 0.0437, + "count": 23 + }, + { + "radius": 0.0442, + "count": 23 + } + ], + "_layers": "13 mm out with 7 more magnets, unchanged from the other designs - an 8 mm cube reaches 5.66 mm from its centre turned corner-on, so two layers need 11.3 mm plus a former wall.", + "outer_radius_offset": 0.013, + "outer_count_offset": 7, + "order": 1, + "_dsv": "8 mm, down from the 12 mm of the five ring design. This is what the missing rings cost. It covers the 4 mm liquid column of a 5 mm tube over 6.9 mm, so this design serves a 5 mm tube rather than the 10 mm one. Opening it to 10 mm gives about 527 ppm on this geometry.", + "dsv": 0.008, + "resolution": 0.0002, + "symmetry": "octant", + "objective": "ppm_bmag", + "field_model": "cuboid", + "_genetic": "Two genes, so two point crossover has essentially nothing to cut and the search rests on mutation and on how much of the 3249 combinations generation zero samples. A population of 20000 covers 99.8 percent of the space in that first generation, so this is an enumeration in all but name and the answer is the global optimum. It costs a few seconds.", + "genetic": { + "population": 20000, + "generations": 20, + "cx_prob": 0.55, + "mut_prob": 0.4, + "gene_mut_prob": 0.4, + "tournament": 3, + "elitism": 2, + "seed": 42 + }, + "_what_this_is_not": "A spectrometer. 247 ppm at 7.6 MHz is a relaxometry instrument: fine for an FID, for T1 by inversion recovery and for T2 by CPMG, useless for chemical shift, where the whole proton range is 10 ppm. Everything else that applies to the larger designs applies here - NdFeB drifts about -1100 ppm per kelvin so the housing must be temperature controlled, an irregular radius profile is more sensitive to build tolerance than a smooth one, and two layers is all this ring model parametrizes." + } +} diff --git a/designs/nmr-3ring-5mm-tube/convergence.csv b/designs/nmr-3ring-5mm-tube/convergence.csv new file mode 100644 index 0000000..307d05c --- /dev/null +++ b/designs/nmr-3ring-5mm-tube/convergence.csv @@ -0,0 +1,22 @@ +generation,best_ppm,best_ever_ppm,mean_ppm,seconds +0,246.469,246.469,45530.6,4.6e-08 +1,246.469,246.469,25239.8,0.233497 +2,246.469,246.469,19245.2,0.298131 +3,246.469,246.469,16291.2,0.260292 +4,246.469,246.469,14649.7,0.259172 +5,246.469,246.469,13819.3,0.257009 +6,246.469,246.469,13186.7,0.267048 +7,246.469,246.469,13033.8,0.263586 +8,246.469,246.469,13136,0.230852 +9,246.469,246.469,12985.4,0.270527 +10,246.469,246.469,13459.3,0.285073 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0.1785941, + "min_T": 0.1785751, + "peak_to_peak_T": 4.406273e-05, + "points": 33401 + } + } +} diff --git a/designs/nmr-5ring-10mm-tube/config.json b/designs/nmr-5ring-10mm-tube/config.json new file mode 100644 index 0000000..46fb913 --- /dev/null +++ b/designs/nmr-5ring-10mm-tube/config.json @@ -0,0 +1,95 @@ +{ + "halbach_optimization": { + + "_design": "The smallest Halbach this ring model will usefully build: five rings, two layers, 185 cubes of 8 mm N52 - about 0.7 kg - 60 mm long over the end cubes and 102 mm across, with a 39 mm free bore for a 10 mm NMR tube - the candidate list only guarantees 21 mm, but the optimizer never reaches for its smallest rings here. As run it gives 213 mT, 9.05 MHz for protons, and 90 ppm over a 12 mm sample sphere, measured from the magnets themselves over the whole sphere. Against the 21-ring design in small_halbach_optim.json that is a quarter of the magnets for two thirds of the field, over a sample volume rather less than half the size. The tube still lies along the bore (z) and B0 is transverse (x), so a solenoid round the tube gives B1 perpendicular to B0.", + + "_what_five_rings_costs": "Less than it looks, and not where you would guess. A ring at height z contributes to the centre as 1/(1+(z/R)^2)^2.5, so rings beyond about two pitches out add almost nothing there: five rings keep 91 percent of the centre field of twenty-one. What the far rings actually buy is uniformity ALONG the axis, and that is what is lost. So this design gives up sample length, not field. The DSV is 12 mm rather than 20 mm, which covers an 8 mm liquid column over 8.9 mm of its height - one RF coil's worth, not a few centimetres of tube.", + + "ring_count": 5, + "ring_separation": 0.013, + + "_ring_geometry": "13 mm pitch, not the 9 mm that would stack 8 mm cubes as tightly as they go. With only five rings the binding constraint is how far they reach along z, so spreading them out is the strongest lever there is: measured on this geometry at a 12 mm DSV, a 9 mm pitch gave 617 ppm and a 13 mm pitch gave 90 ppm. It costs field - 285 mT falls to 213 mT - because the outer rings move away from the centre. 5 mm axial gaps between rings need a slotted former rather than a plain tube.", + + "_element": "8 mm N52 cubes, Br = 1.42 T, the polarization the cuboid kernel wants. Cube size was measured at this ring count and bore: 6 mm gave 247 ppm at 243 mT from 195 magnets, 8 mm gave 139 ppm at 285 mT from 185, 10 mm gave 84 ppm at 336 mT from 159 - but the 10 mm rings hold only 10 to 14 magnets each, and ring discreteness then shows up as ripple that grows as (r/R)^(N-2), which is why 10 mm loses badly as soon as the DSV opens up: at 12 mm it gave 370 ppm against 8 mm's 90.", + + "element": { + "size": 0.008, + "remanence": 1.42 + }, + + "_candidates": "37 radii from 16.2 to 34.2 mm on a 0.5 mm step, with the count set to the densest packing that still leaves each cube 1.45 times its own side of arc; two 8 mm cubes turned corner-on need 1.414, and the tightest pair here has 1.450. The fine step matters more than it would with eleven genes: three genes make the search space small enough that the answer is decided by which discrete (radius, count) pairs happen to exist, and a 1 mm step with a more conservative count rule gave 395 ppm where this gives far less. It costs nothing - 37^3 is 50653 combinations, which the population below samples heavily in its first generation. The smallest radius sets the usable bore, since the tube passes the whole length and the optimizer puts its smallest rings at the ends.", + + "candidates": [ + {"radius": 0.0162, "count": 8}, + {"radius": 0.0167, "count": 9}, + {"radius": 0.0172, "count": 9}, + {"radius": 0.0177, "count": 9}, + {"radius": 0.0182, "count": 9}, + {"radius": 0.0187, "count": 10}, + {"radius": 0.0192, "count": 10}, + {"radius": 0.0197, "count": 10}, + {"radius": 0.0202, "count": 10}, + {"radius": 0.0207, "count": 11}, + {"radius": 0.0212, "count": 11}, + {"radius": 0.0217, "count": 11}, + {"radius": 0.0222, "count": 12}, + {"radius": 0.0227, "count": 12}, + {"radius": 0.0232, "count": 12}, + {"radius": 0.0237, "count": 12}, + {"radius": 0.0242, "count": 13}, + {"radius": 0.0247, "count": 13}, + {"radius": 0.0252, "count": 13}, + {"radius": 0.0257, "count": 13}, + {"radius": 0.0262, "count": 14}, + {"radius": 0.0267, "count": 14}, + {"radius": 0.0272, "count": 14}, + {"radius": 0.0277, "count": 15}, + {"radius": 0.0282, "count": 15}, + {"radius": 0.0287, "count": 15}, + {"radius": 0.0292, "count": 15}, + {"radius": 0.0297, "count": 16}, + {"radius": 0.0302, "count": 16}, + {"radius": 0.0307, "count": 16}, + {"radius": 0.0312, "count": 16}, + {"radius": 0.0317, "count": 17}, + {"radius": 0.0322, "count": 17}, + {"radius": 0.0327, "count": 17}, + {"radius": 0.0332, "count": 17}, + {"radius": 0.0337, "count": 18}, + {"radius": 0.0342, "count": 18} + ], + + "_band": "As always here, the optimizer scores homogeneity and nothing else, so it would rather sit further out where the field is flatter and weaker; the top of this list is what stops it, and is therefore the field-against-homogeneity lever. Swept on this geometry at a 12 mm DSV: top 34 mm gives 90 ppm at 213 mT from 185 magnets, top 42 mm gives 69 ppm at 167 mT from 219, top 50 mm gives 49 ppm at 148 mT from 241. Unusually, widening the band here costs magnets as well as field, because bigger rings need more cubes - so 34 mm is the best point on every axis at once, which is why it is set there.", + + "outer_radius_offset": 0.013, + "outer_count_offset": 7, + + "_layers": "13 mm out with 7 more magnets. An 8 mm cube reaches 5.66 mm from its centre turned corner-on, so two layers need 11.3 mm plus a former wall; 1.69 mm is left. The +7 clears at every candidate, from 1.482 sides of arc at the tightest to 1.545 at the loosest.", + + "order": 1, + + "_dsv": "12 mm, down from the 20 mm of the longer design. This is the number five rings really cost. It covers an 8 mm liquid column - a 10 mm tube less its walls - over 8.9 mm, which is a short but real sensitive volume. Open it to 16 mm and this geometry gives about 320 ppm instead of 90.", + + "dsv": 0.012, + "resolution": 0.0003, + + "symmetry": "octant", + "objective": "ppm_bmag", + "field_model": "cuboid", + + "_genetic": "A big population and a high gene mutation rate, and both are needed - this is the one place a short magnet is harder to optimize than a long one. Five rings mirror down to three genes, and a three gene genome gives two point crossover almost nothing to cut, so the search rests entirely on mutation and on how much of the space generation zero happens to sample. A small population converges in a handful of generations and stops. Measured on this problem, whose space is 37^3 = 50653: population 2000 with gene_mut_prob 0.1 settled at 103.4 ppm and stayed there from generation 6; population 20000 at 0.3 reaches 90.4 ppm; and a population of 200000, which samples 98 percent of the whole space in generation zero, also reaches 90.4 ppm and no further, so that is the global optimum and the settings below find it. The whole run still takes about half a minute.", + + "genetic": { + "population": 20000, + "generations": 40, + "cx_prob": 0.55, + "mut_prob": 0.4, + "gene_mut_prob": 0.3, + "tournament": 3, + "elitism": 2, + "seed": 42 + }, + + "_what_this_is_not": "A spectrometer magnet. 90 ppm over 12 mm at 9 MHz is a relaxometry and diffusion instrument, or a teaching one; liquid spectroscopy wants a longer sensitive volume and sub-ppm after shimming, and the 21-ring design is the better start for that. Everything else that applies there applies here: NdFeB drifts about -1100 ppm per kelvin so the housing has to be temperature controlled, the profile the optimizer returns need not be smooth and an irregular one is more sensitive to build tolerance, and two layers is all this ring model parametrizes." + } +} diff --git a/designs/nmr-5ring-10mm-tube/convergence.csv b/designs/nmr-5ring-10mm-tube/convergence.csv new file mode 100644 index 0000000..073c1ad --- /dev/null +++ b/designs/nmr-5ring-10mm-tube/convergence.csv @@ -0,0 +1,42 @@ +generation,best_ppm,best_ever_ppm,mean_ppm,seconds +0,103.362,103.362,77056.6,1e-07 +1,103.362,103.362,42317.8,0.312679 +2,103.362,103.362,31535.2,0.30051 +3,90.3897,90.3897,26843.5,0.283548 +4,90.3897,90.3897,24701.9,0.291144 +5,90.3897,90.3897,22907.9,0.34987 +6,90.3897,90.3897,22228.7,0.325649 +7,90.3897,90.3897,21584.7,0.299833 +8,90.3897,90.3897,20848.7,0.34334 +9,90.3897,90.3897,20088.8,0.284332 +10,90.3897,90.3897,19477.4,0.264682 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0.0342 + } + ], + "chosen": [ + { + "candidate": 32, + "inner_count": 17, + "inner_radius": 0.0322, + "outer_count": 24, + "outer_radius": 0.0452, + "ring_position": 0.0 + }, + { + "candidate": 30, + "inner_count": 16, + "inner_radius": 0.0312, + "outer_count": 23, + "outer_radius": 0.0442, + "ring_position": 0.013 + }, + { + "candidate": 18, + "inner_count": 13, + "inner_radius": 0.0252, + "outer_count": 20, + "outer_radius": 0.0382, + "ring_position": 0.026 + } + ], + "dsv": 0.012, + "element": { + "remanence": 1.42, + "size": 0.008 + }, + "field_model": "cuboid", + "generations_run": 40, + "genetic": { + "cx_prob": 0.55, + "elitism": 2, + "gene_mut_prob": 0.3, + "generations": 40, + "mut_prob": 0.4, + "population": 20000, + "seed": 42, + "tournament": 3 + }, + "genome": [ + 32, + 30, + 18 + ], + "magnet_count": 185, + "objective": "ppm_bmag", + "optimized": { + "homogeneity_ppm": 90.38966, + "max_T": 0.2126726, + "mean_T": 0.2126626, + "min_T": 0.2126534, + "peak_to_peak_T": 1.92225e-05, + "points": 4662 + }, + "order": 1, + "outer_count_offset": 7, + "outer_radius_offset": 0.013, + "resolution": 0.0003, + "ring_count": 5, + "ring_separation": 0.013, + "symmetry": "octant", + "timing_s": { + "basis": 7.945229072, + "evolution": 12.168360895, + "verification": 1.667135589 + }, + "verified": { + "homogeneity_ppm": 91.44067, + "max_T": 0.2126729, + "mean_T": 0.2126626, + "min_T": 0.2126534, + "peak_to_peak_T": 1.944602e-05, + "points": 33401 + } + } +} diff --git a/designs/regenerate.sh b/designs/regenerate.sh new file mode 100755 index 0000000..d66042a --- /dev/null +++ b/designs/regenerate.sh @@ -0,0 +1,84 @@ +#!/usr/bin/env bash + +# Rebuilds every design in this directory from its config.json. +# +# Each design folder ends up holding: +# +# config.json what was asked for, and why: the notes in it are the +# record of how the parameters were chosen +# optimized.json what came out. An input file the simulator runs as it +# stands, with the homogeneity and field figures beside it +# in its "halbach_optimization" object +# field.csv the field the verification measured, one row a sample: +# x,y,z,Bx,By,Bz,Bmag over the whole sample sphere +# convergence.csv the search, one row a generation +# +# ./regenerate.sh every design +# ./regenerate.sh nmr-5ring-10mm-tube just that one +# ./regenerate.sh --check rebuild into a temporary place and compare, +# without touching what is here + +set -euo pipefail + +# Kokkos complains on every run otherwise, and pinning is worth having anyway. +export OMP_PROC_BIND="${OMP_PROC_BIND:-spread}" +export OMP_PLACES="${OMP_PLACES:-threads}" + +here="$(cd "$(dirname "${BASH_SOURCE[0]}")" && pwd)" +root="$(cd "$here/.." && pwd)" +optimizer="$root/build/optimizer/halbach-optimizer" + +if [[ ! -x "$optimizer" ]]; then + echo "No optimizer at $optimizer. Build it with: $root/compile.sh" >&2 + exit 1 +fi + +check=0 +if [[ "${1:-}" == "--check" ]]; then check=1; shift; fi + +designs=("$@") +if [[ ${#designs[@]} -eq 0 ]]; then + mapfile -t designs < <(cd "$here" && find . -mindepth 2 -maxdepth 2 -name config.json \ + -printf '%h\n' | sed 's|^\./||' | sort) +fi + +for design in "${designs[@]}"; do + + config="$here/$design/config.json" + [[ -f "$config" ]] || { echo "No config.json in $design" >&2; exit 1; } + + if [[ "$check" == 1 ]]; then + out="$(mktemp -d)" + trap 'rm -rf "$out"' EXIT + else + out="$here/$design" + fi + + echo "== $design" + "$optimizer" -c "$config" -q \ + -o "$out/optimized.json" \ + --field "$out/field.csv" \ + --history "$out/convergence.csv" > /dev/null + + if [[ "$check" == 1 ]]; then + # The genome and the figures are what has to match; timings never will. + if python3 - "$here/$design/optimized.json" "$out/optimized.json" <<'PY' +import json, sys +a=json.load(open(sys.argv[1]))["halbach_optimization"] +b=json.load(open(sys.argv[2]))["halbach_optimization"] +same = a["genome"]==b["genome"] and a["verified"]==b["verified"] +print(" reproduces" if same else " DIFFERS") +sys.exit(0 if same else 1) +PY + then :; else exit 1; fi + else + python3 - "$out/optimized.json" <<'PY' +import json, sys +d=json.load(open(sys.argv[1]))["halbach_optimization"] +v=d["verified"] +print(" %d magnets, %.1f mT (%.2f MHz), %.1f ppm over %.0f mm" + % (d["magnet_count"], 1e3*v["mean_T"], 42.577*v["mean_T"], + v["homogeneity_ppm"], 1e3*d["dsv"])) +PY + fi +done From 6ec3d4ba0c0b85dbc0c5f8c6ebf0804c1ad4cf82 Mon Sep 17 00:00:00 2001 From: Anas Bach Date: Sun, 9 Aug 2026 18:16:06 +0200 Subject: [PATCH 3/3] tiny changes --- README.md | 15 +++++--- include/greeter/io/HalbachOptimizationIO.h | 13 +++++++ .../greeter/optimization/HalbachOptimizer.h | 9 ++++- .../greeter/optimization/HalbachSolution.h | 22 ++++++++++++ optimizer/source/main.cpp | 22 ++++++++++++ source/io/HalbachOptimizationIO.cpp | 36 +++++++++++++++++++ source/optimization/HalbachOptimizer.cpp | 22 ++++++++++-- 7 files changed, 131 insertions(+), 8 deletions(-) diff --git a/README.md b/README.md index db7d1d5..05160bf 100644 --- a/README.md +++ b/README.md @@ -438,6 +438,10 @@ those diameters is a search, and `halbach-optimizer` runs it: ./build/optimizer/halbach-optimizer -o output/halbach_optimized.json ``` +Seven worked designs live in `designs/`, one folder each, holding the configuration, the resulting +magnet, the field it produces and the convergence of the search. `designs/regenerate.sh` rebuilds +them all. + With no configuration file the defaults are the design of `HalbachOptimisation/`, the genetic algorithm this is a port of: 23 rings 22 mm apart, each position choosing one of 19 (radius, magnet count) pairs, in two layers 21 mm apart, measured over a 200 mm sphere. @@ -454,7 +458,7 @@ ignore. That object is also a configuration file, so the output of one run is th next: ```bash -./build/optimizer/halbach-optimizer -c output/halbach_optimized.json --seed 7 +./build/optimizer/halbach-optimizer -c designs/nmr-5ring-10mm-tube/optimized.json --seed 7 ``` #### How it works @@ -482,8 +486,8 @@ another position changes. So the run has three stages, and only the middle one i #### Configuration -`halbach_optimization.json` in the project root is the full set of defaults, written out. Every -key is optional: +`designs/imaging-200mm-dsv/config.json` is the full set of defaults, written out. Every key is +optional, and every design under `designs/` carries its own — see `designs/README.md`: | Key | Meaning | | --- | --- | @@ -500,8 +504,9 @@ key is optional: The command line overrides the file: `--generations`, `--population`, `--seed`, `--symmetry`, `--objective`, `--field-model`. `--emit magnets` writes every magnet out one by one instead of the -46 rings. `--history convergence.csv` writes the convergence curve. `--no-verify` skips stage -three, for a smoke test. `halbach-optimizer --help` lists them all. +46 rings. `--history convergence.csv` writes the convergence curve, and `--field field.csv` writes the field +the verification measured, one row a sample, so the answer can be plotted or a lineshape fitted +without simulating it again. `--no-verify` skips stage three, for a smoke test. `halbach-optimizer --help` lists them all. `--field-model dipole` replaces each cube with the point dipole of the same moment, `m = V·Br/µ0`, which is the model `HalbachOptimisation/halbachFields.py` uses. It is there to diff --git a/include/greeter/io/HalbachOptimizationIO.h b/include/greeter/io/HalbachOptimizationIO.h index cb532c7..acb07d7 100644 --- a/include/greeter/io/HalbachOptimizationIO.h +++ b/include/greeter/io/HalbachOptimizationIO.h @@ -60,6 +60,19 @@ class HalbachOptimizationIO { const greeter::optimization::HalbachSolution& solution, const HalbachEmit& emit, const std::string& path); + /* + The field the verification measured, one row a sample: where it was + measured and what was there. Written at the precision a float actually + carries, since a homogeneous magnet is measured in parts per million of + its own field and six digits cannot express that. + + Throws when the solution carries no samples, which is what a run that + was not asked to keep them looks like. + */ + static void writeFieldCSV( + const greeter::optimization::HalbachSolution& solution, + const std::string& path); + /* The convergence curve, one row a generation. */ static void writeHistoryCSV( const greeter::optimization::HalbachSolution& solution, diff --git a/include/greeter/optimization/HalbachOptimizer.h b/include/greeter/optimization/HalbachOptimizer.h index e405569..57f410f 100644 --- a/include/greeter/optimization/HalbachOptimizer.h +++ b/include/greeter/optimization/HalbachOptimizer.h @@ -15,6 +15,12 @@ struct RunOptions { /* Whether every step announces itself on the standard output. */ bool verbose = true; + /* + Whether the samples the verification takes are kept in the solution + rather than reduced to metrics and dropped. See HalbachSolution. + */ + bool keep_field = false; + /* Whether the answer is measured again over the whole sphere, from the magnets rather than from the basis. @@ -60,7 +66,8 @@ class HalbachOptimizer { static FieldMetrics measure(const greeter::MagnetCollection& collection, const HalbachSpec& spec, const Objective& objective, - size_t& num_points); + size_t& num_points, + std::vector* samples = nullptr); }; } // namespace optimization diff --git a/include/greeter/optimization/HalbachSolution.h b/include/greeter/optimization/HalbachSolution.h index 1e9dd1d..3849f06 100644 --- a/include/greeter/optimization/HalbachSolution.h +++ b/include/greeter/optimization/HalbachSolution.h @@ -13,6 +13,21 @@ namespace greeter { namespace optimization { +/* + One sampled point of the verification field: where it was measured and what + was there. + + The verification already evaluates the field at every point of the sphere in + order to reduce it to a single number. Keeping the samples costs one array + and is the only record of what the magnet actually does, as against how good + it is, so a caller that wants to plot a slice, fit a lineshape or check a + gradient does not have to simulate the thing a second time. +*/ +struct FieldSample { + float position[3] = {0.0f, 0.0f, 0.0f}; + float b[3] = {0.0f, 0.0f, 0.0f}; +}; + /* What the optimizer settled on, and how good it turned out to be. @@ -41,6 +56,13 @@ struct HalbachSolution { size_t verified_points = 0; bool was_verified = false; + /* + The samples the verification took, when it was asked to keep them. Empty + otherwise, since a sphere of a hundred thousand points is a megabyte that + most runs have no use for. + */ + std::vector verified_field; + size_t num_magnets = 0; /* The size of stage one: every candidate at every position, sampled. */ diff --git a/optimizer/source/main.cpp b/optimizer/source/main.cpp index 66e7583..df4c05e 100644 --- a/optimizer/source/main.cpp +++ b/optimizer/source/main.cpp @@ -119,6 +119,9 @@ auto main(int argc, char** argv) -> int { cxxopts::value()->default_value("output/halbach_optimized.json")) ("history", "Also write the convergence curve, one row a generation", cxxopts::value()) + ("field", "Also write the field the verification measured, one row a " + "sample: x,y,z,Bx,By,Bz,Bmag", + cxxopts::value()) ("emit", "Write the result as \"arrangements\" or as \"magnets\"", cxxopts::value()->default_value("arrangements")) ("field-model", "\"cuboid\" for the analytic kernel of this library, " @@ -229,6 +232,13 @@ auto main(int argc, char** argv) -> int { greeter::optimization::RunOptions run_options; run_options.verbose = false; run_options.verify = !parsed.count("no-verify"); + run_options.keep_field = parsed.count("field") > 0; + + if (run_options.keep_field && !run_options.verify) { + throw std::invalid_argument( + "--field writes what the verification measured, so it " + "cannot be used with --no-verify"); + } const bool quiet = parsed.count("quiet") > 0; @@ -248,6 +258,18 @@ auto main(int argc, char** argv) -> int { std::cout << "Written to " << output_path << std::endl; + if (parsed.count("field")) { + + const std::string field_path = parsed["field"].as(); + + greeter::HalbachOptimizationIO::writeFieldCSV( + solution, field_path); + + std::cout << "Field written to " << field_path << " (" + << solution.verified_field.size() << " samples)" + << std::endl; + } + if (parsed.count("history")) { const std::string history_path = diff --git a/source/io/HalbachOptimizationIO.cpp b/source/io/HalbachOptimizationIO.cpp index c023610..e364005 100644 --- a/source/io/HalbachOptimizationIO.cpp +++ b/source/io/HalbachOptimizationIO.cpp @@ -247,6 +247,42 @@ void HalbachOptimizationIO::writeFile( } +void HalbachOptimizationIO::writeFieldCSV( + const HalbachSolution& solution, const std::string& path) { + + if (solution.verified_field.empty()) { + throw std::invalid_argument( + "This run kept no field samples, so there is nothing to write. A " + "run has to be asked for them, and one that skipped the " + "verification never took any"); + } + + std::ofstream file(path); + + if (!file.is_open()) { + throw std::invalid_argument("Could not open " + path + " for writing"); + } + + // Nine digits, for the same reason the simulator writes nine: the whole + // point of these files is a field that varies in the seventh. + file.precision(9); + + file << "x,y,z,Bx,By,Bz,Bmag" << std::endl; + + for (const auto& sample : solution.verified_field) { + + const double magnitude = std::sqrt( + (double) sample.b[0] * sample.b[0] + + (double) sample.b[1] * sample.b[1] + + (double) sample.b[2] * sample.b[2]); + + file << sample.position[0] << "," << sample.position[1] << "," + << sample.position[2] << "," << sample.b[0] << "," << sample.b[1] + << "," << sample.b[2] << "," << magnitude << std::endl; + } +} + + void HalbachOptimizationIO::writeHistoryCSV( const HalbachSolution& solution, const std::string& path) { diff --git a/source/optimization/HalbachOptimizer.cpp b/source/optimization/HalbachOptimizer.cpp index 4a1ce71..306a0d8 100644 --- a/source/optimization/HalbachOptimizer.cpp +++ b/source/optimization/HalbachOptimizer.cpp @@ -13,7 +13,8 @@ namespace optimization { FieldMetrics HalbachOptimizer::measure( const greeter::MagnetCollection& collection, const HalbachSpec& spec, - const Objective& objective, size_t& num_points) { + const Objective& objective, size_t& num_points, + std::vector* samples) { /* Over the whole sphere, whatever symmetry the search was reduced to. An @@ -44,6 +45,11 @@ FieldMetrics HalbachOptimizer::measure( std::vector values; values.reserve(num_points); + if (samples != nullptr) { + samples->clear(); + samples->reserve(num_points); + } + for (size_t i = 0; i < num_points; i++) { const float b_x = fields[3 * i + 0]; @@ -54,6 +60,17 @@ FieldMetrics HalbachOptimizer::measure( objective == Objective::BMagnitude ? std::sqrt(b_x * b_x + b_y * b_y + b_z * b_z) : b_x); + + if (samples != nullptr) { + FieldSample sample; + sample.position[0] = points[i][0]; + sample.position[1] = points[i][1]; + sample.position[2] = points[i][2]; + sample.b[0] = b_x; + sample.b[1] = b_y; + sample.b[2] = b_z; + samples->push_back(sample); + } } return HomogeneityObjective::summarise(values); @@ -117,7 +134,8 @@ HalbachSolution HalbachOptimizer::run(const HalbachSpec& spec, timer.reset(); solution.verified = measure( - collection, spec, spec.objective, solution.verified_points); + collection, spec, spec.objective, solution.verified_points, + options.keep_field ? &solution.verified_field : nullptr); solution.verification_seconds = timer.seconds(); solution.was_verified = true;