{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "ae3d722b",
   "metadata": {},
   "source": [
    "## FID sequence in PyPulseSeq from scratch"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "f2e88708",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pypulseq as pp\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d8e6ae7c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define scanner aprameters\n",
    "scanner_parameters = pp.Opts(max_grad = 32, grad_unit = 'mT/m', max_slew = 100, slew_unit = 'T/m/s')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "3180015c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Initialize the sequence\n",
    "fid_sequence = pp.Sequence(system = scanner_parameters)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "0db4226f",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Initintalize the RF pulse\n",
    "rf_pulses = [pp.make_block_pulse(flip_angle = 90, bandwidth = 50e3, duration = 1e-3)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "4cb0f233",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Initialize the ADC\n",
    "adc_blocks = [pp.make_adc(num_samples = 128,system = scanner_parameters, dwell = 1/(50e3))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "a14be6bb",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Make zero gradients\n",
    "total_duration = adc_blocks[0].duration\n",
    "nonzero_amplitude = 1e-12\n",
    "gx = pp.make_trapezoid(channel = 'x', duration = total_duration, flat_time = total_duration*0.5, rise_time = total_duration*0.25, amplitude = nonzero_amplitude, system = scanner_parameters)\n",
    "gy = pp.make_trapezoid(channel = 'y', duration = total_duration, flat_time = total_duration*0.5, rise_time = total_duration*0.25, amplitude = nonzero_amplitude, system = scanner_parameters)\n",
    "gz = pp.make_trapezoid(channel = 'z', duration = total_duration, flat_time = total_duration*0.5, rise_time = total_duration*0.25, amplitude = nonzero_amplitude, system = scanner_parameters)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "ee01edfd",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Add blocks together\n",
    "fid_sequence.add_block(rf_pulses[0])\n",
    "fid_sequence.add_block(adc_blocks[0],gx,gy,gz)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "501c9ac8",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fid_sequence.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "2f5b108e",
   "metadata": {},
   "outputs": [],
   "source": [
    "fid_sequence.write('fid_local.seq')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "5075fa19",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'block_duration': 0.001,\n",
       " 'rf': namespace(type='rf',\n",
       "           signal=array([14323.94487827+0.j, 14323.94487827+0.j]),\n",
       "           t=array([0.   , 0.001]),\n",
       "           shape_dur=0.001,\n",
       "           delay=0.0,\n",
       "           freq_offset=0.0,\n",
       "           phase_offset=0.0,\n",
       "           dead_time=0,\n",
       "           ringdown_time=0,\n",
       "           use='undefined'),\n",
       " 'gx': None,\n",
       " 'gy': None,\n",
       " 'gz': None,\n",
       " 'adc': None}"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fid_sequence.block_events\n",
    "blk = fid_sequence.get_block(1).__dict__\n",
    "blk"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "428c9c81",
   "metadata": {},
   "outputs": [
    {
     "ename": "AttributeError",
     "evalue": "'NoneType' object has no attribute 'type'",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mAttributeError\u001b[0m                            Traceback (most recent call last)",
      "Cell \u001b[1;32mIn[13], line 2\u001b[0m\n\u001b[0;32m      1\u001b[0m \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;21;01mpy2jemris\u001b[39;00m\u001b[38;5;21;01m.\u001b[39;00m\u001b[38;5;21;01mseq2xml\u001b[39;00m \u001b[38;5;28;01mimport\u001b[39;00m seq2xml\n\u001b[1;32m----> 2\u001b[0m \u001b[43mseq2xml\u001b[49m\u001b[43m(\u001b[49m\u001b[43mfid_sequence\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mseq_name\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[38;5;124;43mfid_local\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mout_folder\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[38;5;124;43m.\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[43m)\u001b[49m\n",
      "File \u001b[1;32mC:\\MRI_seq\\py2jemris\\seq2xml.py:112\u001b[0m, in \u001b[0;36mseq2xml\u001b[1;34m(seq, seq_name, out_folder)\u001b[0m\n\u001b[0;32m    110\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m key \u001b[38;5;129;01min\u001b[39;00m [\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mgx\u001b[39m\u001b[38;5;124m'\u001b[39m, \u001b[38;5;124m'\u001b[39m\u001b[38;5;124mgy\u001b[39m\u001b[38;5;124m'\u001b[39m, \u001b[38;5;124m'\u001b[39m\u001b[38;5;124mgz\u001b[39m\u001b[38;5;124m'\u001b[39m]:\n\u001b[0;32m    111\u001b[0m     g \u001b[38;5;241m=\u001b[39m blk[key]\n\u001b[1;32m--> 112\u001b[0m     \u001b[38;5;28;01mif\u001b[39;00m \u001b[43mg\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mtype\u001b[49m \u001b[38;5;241m==\u001b[39m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mtrap\u001b[39m\u001b[38;5;124m\"\u001b[39m:\n\u001b[0;32m    113\u001b[0m         \u001b[38;5;28;01mif\u001b[39;00m g\u001b[38;5;241m.\u001b[39mamplitude \u001b[38;5;241m!=\u001b[39m \u001b[38;5;241m0\u001b[39m:\n\u001b[0;32m    114\u001b[0m             g_atom \u001b[38;5;241m=\u001b[39m ET\u001b[38;5;241m.\u001b[39mSubElement(C_block, \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mTRAPGRADPULSE\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n",
      "\u001b[1;31mAttributeError\u001b[0m: 'NoneType' object has no attribute 'type'"
     ]
    }
   ],
   "source": [
    "from py2jemris.seq2xml import seq2xml\n",
    "seq2xml(fid_sequence, seq_name='fid_local', out_folder='.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "bc500f9c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1, 2]"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list(range(1,len(fid_sequence.block_events)+1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "8e7daae0-f9df-45ee-a5a3-f6d88dab2fe2",
   "metadata": {},
   "outputs": [
    {
     "ename": "AttributeError",
     "evalue": "'Sequence' object has no attribute 'dict_block_events'",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mAttributeError\u001b[0m                            Traceback (most recent call last)",
      "Cell \u001b[1;32mIn[24], line 1\u001b[0m\n\u001b[1;32m----> 1\u001b[0m \u001b[38;5;28mrange\u001b[39m(\u001b[38;5;241m1\u001b[39m,\u001b[38;5;28mlen\u001b[39m(\u001b[43mfid_sequence\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mdict_block_events\u001b[49m)\u001b[38;5;241m+\u001b[39m\u001b[38;5;241m1\u001b[39m)\n",
      "\u001b[1;31mAttributeError\u001b[0m: 'Sequence' object has no attribute 'dict_block_events'"
     ]
    }
   ],
   "source": [
    "range(1,len(fid_sequence.dict_block_events)+1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "47c6f51b-3f2a-4a26-8949-7ba11fb5fec3",
   "metadata": {},
   "outputs": [],
   "source": [
    "from py2jemris.seq2xml import seq2xml\n",
    "seq2xml(seq, seq_name='fid_local', out_folder='.')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}