diff --git a/src/pypulseq/make_extended_trapezoid_area.py b/src/pypulseq/make_extended_trapezoid_area.py index 6dfa9582..94e5b41b 100644 --- a/src/pypulseq/make_extended_trapezoid_area.py +++ b/src/pypulseq/make_extended_trapezoid_area.py @@ -17,23 +17,37 @@ def make_extended_trapezoid_area( grad_end: float, convert_to_arbitrary: bool = False, system: Union[Opts, None] = None, -) -> Tuple[SimpleNamespace, np.array, np.array]: - """Make the shortest possible extended trapezoid for given area and gradient start and end point. + duration: Union[float, None] = None, + max_grad: Union[float, None] = None, + max_slew: Union[float, None] = None, +) -> Tuple[SimpleNamespace, np.ndarray, np.ndarray]: + """ + Make an extended trapezoid for given area and gradient start and end point. + If no duration is given, the shortest possible duration that satisfies the constraints is used. + If a duration is given, the function tries to find a solution with the given duration. Parameters ---------- area : float - Area of extended trapezoid. + Area of extended trapezoid in 1/m (= Hz/m * s). channel : str Orientation of extended trapezoidal gradient event. Must be one of 'x', 'y' or 'z'. grad_start : float - Starting non-zero gradient value. + Starting non-zero gradient value in Hz/m. grad_end : float - Ending non-zero gradient value. + Ending non-zero gradient value in Hz/m. convert_to_arbitrary : bool, default=False Boolean flag to enable converting the extended trapezoid gradient into an arbitrary gradient. - system: Opts, optional + system : Opts, default=None System limits. + duration : float, default=None + Desired duration of the extended trapezoid in s. + max_grad : float, default=None + Maximum gradient strength in Hz/m. + If None, the maximum gradient strength is set to the system limit. + max_slew : float, default=None + Maximum slew rate in Hz/m/s. + If None, the maximum slew rate is set to the system limit. Returns ------- @@ -46,13 +60,25 @@ def make_extended_trapezoid_area( Raises ------ - ValueError if no solution was found that satisfies the constraints and the desired area. + ValueError + If no solution was found that satisfies the constraints and the desired area (and duration, if given). + If `duration` is not None and is not a positive number. """ if system is None: system = Opts.default - max_slew = system.max_slew * 0.99 - max_grad = system.max_grad * 0.99 + if channel not in ['x', 'y', 'z']: + raise ValueError(f'Invalid channel. Must be one of `x`, `y` or `z`. Passed: {channel}') + + if max_grad is None: + max_grad = system.max_grad + + if max_slew is None: + max_slew = system.max_slew + + if duration is not None and duration <= 0: + raise ValueError('Duration must be a positive number.') + raster_time = system.grad_raster_time def _to_raster(time: float) -> float: @@ -147,7 +173,7 @@ def _find_solution(duration: int) -> Union[None, Tuple[int, int, int, float]]: # Filter solutions that satisfy max_grad and max_slew constraints valid_indices = ( - (abs(grad_amp) <= max_grad + 1e-8) & (slew_rate1 <= max_slew + 1e-8) & (slew_rate2 <= max_slew + 1e-8) + (abs(grad_amp) <= max_grad + eps) & (slew_rate1 <= max_slew + eps) & (slew_rate2 <= max_slew + eps) ) solutions = np.flatnonzero(valid_indices) @@ -160,49 +186,57 @@ def _find_solution(duration: int) -> Union[None, Tuple[int, int, int, float]]: ind = solutions[ind] return (int(time_ramp_up[ind]), int(flat_time[ind]), int(time_ramp_down[ind]), float(grad_amp[ind])) - # Perform a linear search - # This is necessary because there can exist a dead space where solutions - # do not exist for some durations longer than the optimal duration. The - # binary search below fails to find the optimum in those cases. - # TODO: Check if range is sufficient, try to calculate the dead space. - min_duration = max(round(_calc_ramp_time(grad_end, grad_start) / raster_time), 2) - - # Calculate duration needed to ramp down gradient to zero. - # From this point onwards, solutions can always be found by extending - # the duration and doing a binary search. - max_duration = max( - round(_calc_ramp_time(0, grad_start) / raster_time), - round(_calc_ramp_time(0, grad_end) / raster_time), - min_duration, - ) + if duration is None: # duration was not given + # Perform a linear search + # This is necessary because there can exist a dead space where solutions + # do not exist for some durations longer than the optimal duration. The + # binary search below fails to find the optimum in those cases. + # TODO: Check if range is sufficient, try to calculate the dead space. + min_duration = max(round(_calc_ramp_time(grad_end, grad_start) / raster_time), 2) + + # Calculate duration needed to ramp down gradient to zero. + # From this point onwards, solutions can always be found by extending + # the duration and doing a binary search. + max_duration = max( + round(_calc_ramp_time(0, grad_start) / raster_time), + round(_calc_ramp_time(0, grad_end) / raster_time), + min_duration, + ) + + # Linear search + solution = None + for current_duration in range(min_duration, max_duration + 1): + solution = _find_solution(current_duration) + if solution is not None: + break + + # Perform a binary search for duration > max_duration if no solution was found + if solution is None: + # First, find the upper limit on duration where a solution exists by + # exponentially expanding the duration. + while solution is None: + max_duration *= 2 + solution = _find_solution(max_duration) - # Linear search - solution = None - for duration in range(min_duration, max_duration + 1): - solution = _find_solution(duration) - if solution: - break + def binary_search(fun, lower_limit, upper_limit): + if lower_limit == upper_limit - 1: + return fun(upper_limit) - # Perform a binary search for duration > max_duration if no solution was found - if not solution: - # First, find the upper limit on duration where a solution exists by - # exponentially expanding the duration. - while not solution: - max_duration *= 2 - solution = _find_solution(max_duration) + test_value = (upper_limit + lower_limit) // 2 - def binary_search(fun, lower_limit, upper_limit): - if lower_limit == upper_limit - 1: - return fun(upper_limit) + if fun(test_value): + return binary_search(fun, lower_limit, test_value) + else: + return binary_search(fun, test_value, upper_limit) - test_value = (upper_limit + lower_limit) // 2 + solution = binary_search(_find_solution, max_duration // 2, max_duration) - if fun(test_value): - return binary_search(fun, lower_limit, test_value) - else: - return binary_search(fun, test_value, upper_limit) + else: # duration was given, so calculate solution for this duration + duration_raster = max(round(_to_raster(duration) / raster_time), 2) + solution = _find_solution(duration_raster) - solution = binary_search(_find_solution, max_duration // 2, max_duration) + if solution is None: + raise ValueError(f'Could not find a solution for area={area} and duration={duration}.') # Get timing and gradient amplitude from solution time_ramp_up = solution[0] * raster_time @@ -226,7 +260,7 @@ def binary_search(fun, lower_limit, upper_limit): if trace_enabled(): grad.trace = trace() - if not abs(grad.area - area) < 1e-8: + if not abs(grad.area - area) < eps: raise ValueError(f'Could not find a solution for area={area}.') return grad, grad.tt, grad.waveform diff --git a/tests/expected_output/write_epi_se_rs.seq b/tests/expected_output/write_epi_se_rs.seq index 83e95927..81f88667 100644 --- a/tests/expected_output/write_epi_se_rs.seq +++ b/tests/expected_output/write_epi_se_rs.seq @@ -20,8 +20,8 @@ TotalDuration 0.21735 [BLOCKS] 1 1572 1 0 0 1 0 0 2 226 2 0 0 2 0 1 - 3 1613 0 0 0 0 0 0 - 4 1146 3 4 5 3 0 0 + 3 1614 0 0 0 0 0 0 + 4 1145 3 4 5 3 0 0 5 48 0 6 7 0 1 0 6 48 0 8 9 0 1 0 7 48 0 6 9 0 1 0 @@ -80,8 +80,8 @@ TotalDuration 0.21735 60 48 0 8 10 0 1 0 61 1572 1 0 0 1 0 0 62 226 4 0 0 2 0 1 - 63 1613 0 0 0 0 0 0 - 64 1146 5 4 5 3 0 0 + 63 1614 0 0 0 0 0 0 + 64 1145 5 4 5 3 0 0 65 48 0 6 7 0 1 0 66 48 0 8 9 0 1 0 67 48 0 6 9 0 1 0 @@ -140,8 +140,8 @@ TotalDuration 0.21735 120 48 0 8 10 0 1 0 121 1572 1 0 0 1 0 0 122 226 6 0 0 2 0 1 -123 1613 0 0 0 0 0 0 -124 1146 7 4 5 3 0 0 +123 1614 0 0 0 0 0 0 +124 1145 7 4 5 3 0 0 125 48 0 6 7 0 1 0 126 48 0 8 9 0 1 0 127 48 0 6 9 0 1 0 @@ -206,18 +206,18 @@ TotalDuration 0.21735 [RF] 1 129.712 1 2 0 4000 100 0 0 -424.504 0 s 2 493.727 3 4 0 1000 130 0 0 -2000 0 e -3 987.454 3 4 0 1000 1740 0 0 -2000 1.5708 r +3 987.454 3 4 0 1000 1730 0 0 -2000 1.5708 r 4 493.727 3 4 0 1000 130 0 0 0 0 e -5 987.454 3 4 0 1000 1740 0 0 0 1.5708 r +5 987.454 3 4 0 1000 1730 0 0 0 1.5708 r 6 493.727 3 4 0 1000 130 0 0 2000 0 e -7 987.454 3 4 0 1000 1740 0 0 2000 1.5708 r +7 987.454 3 4 0 1000 1730 0 0 2000 1.5708 r # Format of arbitrary gradients: # time_shape_id of 0 means default timing (stepping with grad_raster starting at 1/2 of grad_raster) # id amplitude first last amp_shape_id time_shape_id delay # .. Hz/m Hz/m Hz/m .. .. us [GRADIENTS] -3 1.34624e+06 0 0 5 6 0 +3 1.35761e+06 0 0 5 6 0 7 -133333 0 -133333 7 8 450 9 -133333 -133333 -133333 9 10 0 10 -133333 -133333 0 11 8 0 @@ -228,8 +228,8 @@ TotalDuration 0.21735 [TRAP] 1 1.3624e+06 250 7090 250 8130 2 666667 130 2000 130 0 - 4 -812789 160 0 160 11140 - 5 484211 130 60 130 3770 + 4 -812789 160 0 160 11130 + 5 484211 130 60 130 3760 6 1.00036e+06 220 40 220 0 8 -1.00036e+06 220 40 220 0 @@ -10284,24 +10284,24 @@ num_samples 2000 shape_id 5 num_samples 8 0 +0.998065105 +0.998065105 +0.491060787 +0.491060787 1 1 -0.495207668 -0.495207668 -0.998748157 -0.998748157 0 shape_id 6 num_samples 8 0 25 -161 -174 -374 -387 -576 -601 +160 +173 +373 +386 +573 +598 shape_id 7 num_samples 2 @@ -10338,4 +10338,4 @@ num_samples 2 # It can be reproduced/verified with md5sum if the file trimmed to the position right above [SIGNATURE] # The new line character preceding [SIGNATURE] BELONGS to the signature (and needs to be stripped away for recalculating/verification) Type md5 -Hash c313148f55ea9f3c049716cc3f36f857 +Hash 8c5f08ea9a8bd3f1e01635118f8d8486 diff --git a/tests/expected_output/write_mprage.seq b/tests/expected_output/write_mprage.seq index 2eb17000..9d22b18a 100644 --- a/tests/expected_output/write_mprage.seq +++ b/tests/expected_output/write_mprage.seq @@ -19,5945 +19,5945 @@ TotalDuration 150 # NUM DUR RF GX GY GZ ADC EXT [BLOCKS] 1 1036 1 0 0 0 0 0 - 2 94685 0 0 1 0 0 0 - 3 73 2 0 0 0 0 0 + 2 94710 0 0 1 0 0 0 + 3 72 2 0 0 0 0 0 4 541 0 2 2 4 1 0 - 5 73 3 3 3 5 0 1 + 5 72 3 3 3 5 0 1 6 541 0 6 2 4 2 0 - 7 73 4 7 3 5 0 1 + 7 72 4 7 3 5 0 1 8 541 0 8 2 4 3 0 - 9 73 5 9 3 5 0 1 + 9 72 5 9 3 5 0 1 10 541 0 10 2 4 4 0 - 11 73 6 11 3 5 0 1 + 11 72 6 11 3 5 0 1 12 541 0 12 2 4 5 0 - 13 73 7 13 3 5 0 1 + 13 72 7 13 3 5 0 1 14 541 0 14 2 4 6 0 - 15 73 8 15 3 5 0 1 + 15 72 8 15 3 5 0 1 16 541 0 16 2 4 7 0 - 17 73 9 17 3 5 0 1 + 17 72 9 17 3 5 0 1 18 541 0 18 2 4 8 0 - 19 73 10 19 3 5 0 1 + 19 72 10 19 3 5 0 1 20 541 0 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53 5 0 1 5877 541 0 36 54 4 15 0 -5878 73 17 37 53 5 0 1 +5878 72 17 37 53 5 0 1 5879 541 0 38 54 4 16 0 -5880 73 14 39 53 5 0 1 +5880 72 14 39 53 5 0 1 5881 541 0 40 54 4 13 0 -5882 73 18 41 53 5 0 1 +5882 72 18 41 53 5 0 1 5883 541 0 42 54 4 17 0 -5884 73 6 43 53 5 0 1 +5884 72 6 43 53 5 0 1 5885 541 0 44 54 4 5 0 -5886 73 19 45 53 5 0 1 +5886 72 19 45 53 5 0 1 5887 541 0 46 54 4 18 0 -5888 73 20 47 53 5 0 1 +5888 72 20 47 53 5 0 1 5889 541 0 48 54 4 19 0 -5890 73 10 49 53 5 0 1 +5890 72 10 49 53 5 0 1 5891 541 0 50 54 4 9 0 -5892 73 21 51 53 5 0 1 +5892 72 21 51 53 5 0 1 5893 541 0 52 54 4 20 0 -5894 73 11 52 53 5 0 1 +5894 72 11 52 53 5 0 1 5895 541 0 51 54 4 10 0 -5896 73 19 50 53 5 0 1 +5896 72 19 50 53 5 0 1 5897 541 0 49 54 4 18 0 -5898 73 22 48 53 5 0 1 +5898 72 22 48 53 5 0 1 5899 541 0 47 54 4 21 0 -5900 73 5 46 53 5 0 1 +5900 72 5 46 53 5 0 1 5901 541 0 45 54 4 4 0 -5902 73 23 44 53 5 0 1 +5902 72 23 44 53 5 0 1 5903 541 0 43 54 4 22 0 -5904 73 15 42 53 5 0 1 +5904 72 15 42 53 5 0 1 5905 541 0 41 54 4 14 0 -5906 73 16 40 53 5 0 1 +5906 72 16 40 53 5 0 1 5907 541 0 39 54 4 15 0 -5908 73 24 38 53 5 0 1 +5908 72 24 38 53 5 0 1 5909 541 0 37 54 4 23 0 -5910 73 3 36 53 5 0 1 +5910 72 3 36 53 5 0 1 5911 541 0 35 54 4 2 0 -5912 73 23 34 53 5 0 1 +5912 72 23 34 53 5 0 1 5913 541 0 33 54 4 22 0 -5914 73 18 32 53 5 0 1 +5914 72 18 32 53 5 0 1 5915 541 0 31 54 4 17 0 -5916 73 12 30 53 5 0 1 +5916 72 12 30 53 5 0 1 5917 541 0 29 54 4 11 0 -5918 73 25 28 53 5 0 1 +5918 72 25 28 53 5 0 1 5919 541 0 27 54 4 24 0 -5920 73 8 26 53 5 0 1 +5920 72 8 26 53 5 0 1 5921 541 0 25 54 4 7 0 -5922 73 21 24 53 5 0 1 +5922 72 21 24 53 5 0 1 5923 541 0 23 54 4 20 0 -5924 73 21 22 53 5 0 1 +5924 72 21 22 53 5 0 1 5925 541 0 21 54 4 20 0 -5926 73 8 20 53 5 0 1 +5926 72 8 20 53 5 0 1 5927 541 0 19 54 4 7 0 -5928 73 25 18 53 5 0 1 +5928 72 25 18 53 5 0 1 5929 541 0 17 54 4 24 0 -5930 73 12 16 53 5 0 1 +5930 72 12 16 53 5 0 1 5931 541 0 15 54 4 11 0 -5932 73 18 14 53 5 0 1 +5932 72 18 14 53 5 0 1 5933 541 0 13 54 4 17 0 -5934 73 23 12 53 5 0 1 +5934 72 23 12 53 5 0 1 5935 541 0 11 54 4 22 0 -5936 73 3 10 53 5 0 1 +5936 72 3 10 53 5 0 1 5937 541 0 9 54 4 2 0 -5938 73 24 8 53 5 0 1 +5938 72 24 8 53 5 0 1 5939 541 0 7 54 4 23 0 -5940 124807 0 0 0 5 0 3 +5940 124830 0 0 0 5 0 3 # Format of RF events: # id ampl. mag_id phase_id time_shape_id center delay freqPPm phasePPM freq phase use @@ -5965,30 +5965,30 @@ TotalDuration 150 # Field "use" is the initial of: excitation refocusing inversion saturation preparation other undefined [RF] 1 563.681 1 2 3 5125 100 0 0 0 0 i -2 194.444 4 5 6 50 610 0 0 0 0 e -3 194.444 4 5 6 50 610 0 0 0 2.04204 e -4 194.444 4 5 6 50 610 0 0 0 6.12611 e -5 194.444 4 5 6 50 610 0 0 0 5.96903 e -6 194.444 4 5 6 50 610 0 0 0 1.5708 e -7 194.444 4 5 6 50 610 0 0 0 5.49779 e -8 194.444 4 5 6 50 610 0 0 0 5.18363 e -9 194.444 4 5 6 50 610 0 0 0 0.628319 e -10 194.444 4 5 6 50 610 0 0 0 4.39823 e -11 194.444 4 5 6 50 610 0 0 0 3.92699 e -12 194.444 4 5 6 50 610 0 0 0 2.82743 e -13 194.444 4 5 6 50 610 0 0 0 2.19911 e -14 194.444 4 5 6 50 610 0 0 0 3.61283 e -15 194.444 4 5 6 50 610 0 0 0 0.785398 e -16 194.444 4 5 6 50 610 0 0 0 1.25664 e -17 194.444 4 5 6 50 610 0 0 0 4.55531 e -18 194.444 4 5 6 50 610 0 0 0 4.71239 e -19 194.444 4 5 6 50 610 0 0 0 0.471239 e -20 194.444 4 5 6 50 610 0 0 0 1.41372 e -21 194.444 4 5 6 50 610 0 0 0 3.14159 e -22 194.444 4 5 6 50 610 0 0 0 5.34071 e -23 194.444 4 5 6 50 610 0 0 0 2.35619 e -24 194.444 4 5 6 50 610 0 0 0 3.76991 e -25 194.444 4 5 6 50 610 0 0 0 2.98451 e +2 194.444 4 5 6 50 600 0 0 0 0 e +3 194.444 4 5 6 50 600 0 0 0 2.04204 e +4 194.444 4 5 6 50 600 0 0 0 6.12611 e +5 194.444 4 5 6 50 600 0 0 0 5.96903 e +6 194.444 4 5 6 50 600 0 0 0 1.5708 e +7 194.444 4 5 6 50 600 0 0 0 5.49779 e +8 194.444 4 5 6 50 600 0 0 0 5.18363 e +9 194.444 4 5 6 50 600 0 0 0 0.628319 e +10 194.444 4 5 6 50 600 0 0 0 4.39823 e +11 194.444 4 5 6 50 600 0 0 0 3.92699 e +12 194.444 4 5 6 50 600 0 0 0 2.82743 e +13 194.444 4 5 6 50 600 0 0 0 2.19911 e +14 194.444 4 5 6 50 600 0 0 0 3.61283 e +15 194.444 4 5 6 50 600 0 0 0 0.785398 e +16 194.444 4 5 6 50 600 0 0 0 1.25664 e +17 194.444 4 5 6 50 600 0 0 0 4.55531 e +18 194.444 4 5 6 50 600 0 0 0 4.71239 e +19 194.444 4 5 6 50 600 0 0 0 0.471239 e +20 194.444 4 5 6 50 600 0 0 0 1.41372 e +21 194.444 4 5 6 50 600 0 0 0 3.14159 e +22 194.444 4 5 6 50 600 0 0 0 5.34071 e +23 194.444 4 5 6 50 600 0 0 0 2.35619 e +24 194.444 4 5 6 50 600 0 0 0 3.76991 e +25 194.444 4 5 6 50 600 0 0 0 2.98451 e # Format of arbitrary gradients: # time_shape_id of 0 means default timing (stepping with grad_raster starting at 1/2 of grad_raster) @@ -5996,7 +5996,7 @@ TotalDuration 150 # .. Hz/m Hz/m Hz/m .. .. us [GRADIENTS] 4 -708063 0 49824.6 7 8 0 -5 984720 49824.6 0 9 10 0 +5 1.0117e+06 49824.6 0 9 10 0 # Format of trapezoid gradients: # id amplitude rise flat fall delay @@ -8247,7 +8247,7 @@ num_samples 5 shape_id 9 num_samples 4 -0.0505977278 +0.0492484551 1 1 0 @@ -8256,8 +8256,8 @@ shape_id 10 num_samples 4 0 23 -37 -61 +36 +60 [SIGNATURE] @@ -8265,4 +8265,4 @@ num_samples 4 # It can be reproduced/verified with md5sum if the file trimmed to the position right above [SIGNATURE] # The new line character preceding [SIGNATURE] BELONGS to the signature (and needs to be stripped away for recalculating/verification) Type md5 -Hash 4ace3c7e692236c16c9a7ee35ff789a9 +Hash 1b36f192fdef16f8aed55e65931a1883 diff --git a/tests/test_make_extended_trapezoid_area.py b/tests/test_make_extended_trapezoid_area.py index 8f0007c7..f8017b88 100644 --- a/tests/test_make_extended_trapezoid_area.py +++ b/tests/test_make_extended_trapezoid_area.py @@ -1,5 +1,4 @@ import math -import random import numpy as np import pytest @@ -23,14 +22,14 @@ (0, 1000, -100), (-1000, 1000, -100), (-1000, 0, -100), - (0, system.max_grad * 0.99, 10000), - (0, system.max_grad * 0.99, -10000), - (0, -system.max_grad * 0.99, 1000), - (0, -system.max_grad * 0.99, -1000), - (system.max_grad * 0.99, 0, 100), - (system.max_grad * 0.99, 0, -100), - (-system.max_grad * 0.99, 0, 1), - (-system.max_grad * 0.99, 0, -1), + (0, system.max_grad, 10000), + (0, system.max_grad, -10000), + (0, -system.max_grad, 1000), + (0, -system.max_grad, -1000), + (system.max_grad, 0, 100), + (system.max_grad, 0, -100), + (-system.max_grad, 0, 1), + (-system.max_grad, 0, -1), (0, 100000, 1), (0, 100000, -1), (0, -100000, 1), @@ -39,10 +38,10 @@ (0, 90000, -0.45), (0, -90000, 0.45), (0, -90000, -0.45), - (0, 10000, 0.5 * (10000) ** 2 / (system.max_slew * 0.99)), - (0, system.max_grad * 0.99, 0.5 * (system.max_grad * 0.99) ** 2 / (system.max_slew * 0.99)), - (system.max_grad * 0.99, system.max_grad * 0.99, 1), - (system.max_grad * 0.99, system.max_grad * 0.99, -1), + (0, 10000, 0.5 * (10000) ** 2 / (system.max_slew)), + (0, system.max_grad, 0.5 * (system.max_grad) ** 2 / (system.max_slew)), + (system.max_grad, system.max_grad, 1), + (system.max_grad, system.max_grad, -1), ] @@ -60,32 +59,7 @@ def test_make_extended_trapezoid_area(grad_start, grad_end, area): assert slew_ok, 'Maximum slew rate violated' -random.seed(0) -test_zoo_random = [ - ( - (random.random() - 0.5) * 2 * system.max_grad * 0.99, - (random.random() - 0.5) * 2 * system.max_grad * 0.99, - (random.random() - 0.5) * 10000, - ) - for _ in range(100) -] - - -@pytest.mark.parametrize('grad_start, grad_end, area', test_zoo_random) -def test_make_extended_trapezoid_area_random_cases(grad_start, grad_end, area): - g, _, _ = make_extended_trapezoid_area( - channel='x', grad_start=grad_start, grad_end=grad_end, area=area, system=system - ) - - grad_ok = all(abs(g.waveform) <= system.max_grad) - slew_ok = all(abs(np.diff(g.waveform) / np.diff(g.tt)) <= system.max_slew) - - assert pytest.approx(g.area) == area, 'Result area is not correct' - assert grad_ok, 'Maximum gradient strength violated' - assert slew_ok, 'Maximum slew rate violated' - - -@pytest.mark.parametrize('grad_start, grad_end, area', test_zoo_random) +@pytest.mark.parametrize('grad_start, grad_end, area', test_zoo) def test_make_extended_trapezoid_area_convert_to_arb(grad_start, grad_end, area): g, _, _ = make_extended_trapezoid_area( channel='x', grad_start=grad_start, grad_end=grad_end, area=area, system=system @@ -95,36 +69,19 @@ def test_make_extended_trapezoid_area_convert_to_arb(grad_start, grad_end, area) channel='x', grad_start=grad_start, grad_end=grad_end, area=area, convert_to_arbitrary=True, system=system ) - grad_ok = all(abs(g.waveform) <= system.max_grad) - slew_ok = all(abs(np.diff(g.waveform) / np.diff(g.tt)) <= system.max_slew) + assert all(abs(g.waveform) <= system.max_grad), 'Extended trapezoid violates max gradient' + assert all(abs(np.diff(g.waveform) / np.diff(g.tt)) <= system.max_slew), 'Extended trapezoid violates max slew rate' - grad_arb_ok = all(abs(g_arb.waveform) <= system.max_grad) - slew_arb_ok = all(abs(np.diff(g_arb.waveform) / np.diff(g_arb.tt)) <= system.max_slew) + assert all(abs(g_arb.waveform) <= system.max_grad), 'Arbitrary gradient violates max gradient' + assert all(abs(np.diff(g_arb.waveform) / np.diff(g_arb.tt)) <= system.max_slew), ( + 'Arbitrary gradient violates max slew rate' + ) assert pytest.approx(g.area) == g_arb.area, 'Area of extended trapz and arb gradient do not match' assert pytest.approx(g.shape_dur) == g_arb.shape_dur, 'Duration of extended trapz and arb gradient do not match' - assert g.tt.shape[0] <= g_arb.tt.shape[0], ( - 'Extended trapezoid should have less or equal number of points than arb gradient' - ) - assert g.waveform.shape[0] <= g_arb.waveform.shape[0], ( - 'Extended trapezoid should have less or equal number of points than arb gradient' - ) - assert grad_ok == grad_arb_ok, 'Gradient strength violation between extended trapz and arb gradient' - assert slew_ok == slew_arb_ok, 'Slew rate violation between extended trapz and arb gradient' - -random.seed(0) -test_zoo_random = [ - ( - (random.random() - 0.5) * 3 * system.max_grad, - (random.random() - 0.5) * 3 * system.max_grad, - (random.random() - 0.5) * 10 * system.max_grad, - ) - for _ in range(100) -] - -@pytest.mark.parametrize('grad_start, grad_end, grad_amp', test_zoo_random) +@pytest.mark.parametrize('grad_start, grad_end, grad_amp', test_zoo) def test_make_extended_trapezoid_area_recreate(grad_start, grad_end, grad_amp): def _to_raster(time: float) -> float: return np.ceil(time / system.grad_raster_time) * system.grad_raster_time @@ -140,14 +97,23 @@ def _calc_ramp_time(grad_amp, slew_rate, grad_start): # If grad_amp > max_grad, convert to max_grad, and keep total area # approximately equal - if abs(grad_amp) > system.max_grad * 0.99: - grad_amp_new = math.copysign(system.max_grad * 0.99, grad_amp) - - flat_time = _to_raster( - _calc_ramp_time(grad_amp_new, system.max_slew * 0.99, grad_amp) - * abs(grad_amp_new + grad_amp) - / abs(grad_amp_new) + if abs(grad_amp) > system.max_grad: + grad_amp_new = math.copysign(system.max_grad, grad_amp) + + # Original trapezoid area (no flat section) + t_ramp_up_orig = _calc_ramp_time(grad_amp, system.max_slew, grad_start) + t_ramp_down_orig = _calc_ramp_time(grad_amp, system.max_slew, grad_end) + area_orig = t_ramp_up_orig * (grad_start + grad_amp) / 2 + t_ramp_down_orig * (grad_amp + grad_end) / 2 + + # New ramp times with clipped amplitude + t_ramp_up_new = _calc_ramp_time(grad_amp_new, system.max_slew, grad_start) + t_ramp_down_new = _calc_ramp_time(grad_amp_new, system.max_slew, grad_end) + area_ramps_new = ( + t_ramp_up_new * (grad_start + grad_amp_new) / 2 + t_ramp_down_new * (grad_amp_new + grad_end) / 2 ) + + # Flat time to make up the difference + flat_time = _to_raster((area_orig - area_ramps_new) / grad_amp_new) grad_amp = grad_amp_new else: flat_time = 0 @@ -156,16 +122,16 @@ def _calc_ramp_time(grad_amp, slew_rate, grad_start): if flat_time == 0: times = cumsum( 0, - _calc_ramp_time(grad_amp, system.max_slew * 0.99, grad_start), - _calc_ramp_time(grad_amp, system.max_slew * 0.99, grad_end), + _calc_ramp_time(grad_amp, system.max_slew, grad_start), + _calc_ramp_time(grad_amp, system.max_slew, grad_end), ) amplitudes = (grad_start, grad_amp, grad_end) else: times = cumsum( 0, - _calc_ramp_time(grad_amp, system.max_slew * 0.99, grad_start), + _calc_ramp_time(grad_amp, system.max_slew, grad_start), _to_raster(flat_time), - _calc_ramp_time(grad_amp, system.max_slew * 0.99, grad_end), + _calc_ramp_time(grad_amp, system.max_slew, grad_end), ) amplitudes = (grad_start, grad_amp, grad_amp, grad_end) @@ -187,3 +153,67 @@ def _calc_ramp_time(grad_amp, slew_rate, grad_start): d2 = calc_duration(g_true) assert pytest.approx(d1) == d2 or d1 < d2 + + +@pytest.mark.parametrize( + 'grad_start, grad_end, area, duration', + [ + (0, 0, 1000, 5e-3), + (0, 0, 1000, 10e-3), + (0, 1000, 100, 5e-3), + (-1000, 1000, 100, 5e-3), + (system.max_grad, 0, 100, 5e-3), + (0, system.max_grad, -100, 5e-3), + (system.max_grad * 0.5, system.max_grad * 0.5, 500, 3e-3), + ], +) +def test_make_extended_trapezoid_area_with_duration(grad_start, grad_end, area, duration): + """Test extended trapezoid with specified duration.""" + g, _, _ = make_extended_trapezoid_area( + channel='x', grad_start=grad_start, grad_end=grad_end, area=area, duration=duration, system=system + ) + + grad_ok = all(abs(g.waveform) <= system.max_grad) + slew_ok = all(abs(np.diff(g.waveform) / np.diff(g.tt)) <= system.max_slew) + duration_ok = pytest.approx(calc_duration(g), abs=system.grad_raster_time) == duration + + assert pytest.approx(g.area) == area, 'Result area is not correct' + assert grad_ok, 'Maximum gradient strength violated' + assert slew_ok, 'Maximum slew rate violated' + assert duration_ok, f'Duration mismatch: expected {duration}, got {calc_duration(g)}' + + +@pytest.mark.parametrize('grad_start, grad_end, area', test_zoo) +def test_make_extended_trapezoid_area_duration_vs_no_duration(grad_start, grad_end, area): + """Test that specified duration produces same area as no duration.""" + + g_no_duration, _, _ = make_extended_trapezoid_area( + channel='x', grad_start=grad_start, grad_end=grad_end, area=area, system=system + ) + + # Round duration to nearest ns. Necessary because calc_duration + # does not round internally + duration = round(calc_duration(g_no_duration), 9) + + g_with_duration, _, _ = make_extended_trapezoid_area( + channel='x', grad_start=grad_start, grad_end=grad_end, area=area, duration=duration, system=system + ) + + assert pytest.approx(g_no_duration.area) == g_with_duration.area, 'Areas do not match' + assert pytest.approx(calc_duration(g_no_duration), abs=system.grad_raster_time) == calc_duration(g_with_duration), ( + 'Durations do not match' + ) + + +def test_make_extended_trapezoid_area_raises_when_no_solution(): + """Test that invalid duration raises ValueError.""" + with pytest.raises(ValueError, match='Could not find a solution'): + make_extended_trapezoid_area(channel='x', grad_start=0, grad_end=0, area=100000, duration=0.1e-6, system=system) + + +def test_make_extended_trapezoid_area_raises_when_invalid_duration(): + """Test that invalid duration raises ValueError.""" + with pytest.raises(ValueError, match='Duration must be a positive number'): + make_extended_trapezoid_area( + channel='x', grad_start=0, grad_end=0, area=100000, duration=-0.1e-6, system=system + )