minimum mp

phase-encoding-method-of-moments.py

@@ -8,44 +8,43 @@ from mpmath import mp, mpf
 mp.dps = 2000
 
 voxel_num = 15
-phase_range = mp.pi/2
-phase_init = mp.pi/4 #mpf(0.0)
+phase_range = np.pi/2
+phase_init = np.pi/4 #(0.0)
 U_points = voxel_num * 3000
 
-noise_ratio = mpf(0.0*1e-38) #1e8
+noise_ratio = (0.0*1e-38) #1e8
 
 total_periods=10#DO NOT CHANGE to fit T2s_scale autoscale
-rf_samples_per_period = 80
+rf_samples_per_period = 10
 # max polynomial order equals  rf_samples_per_period * total_periods 
 
 # B0=1.5T freq=64Mhz, period = 15.6 ns
-period = mpf(10) #ms
-omega = 2.0*mp.pi/period
+period = (10.0) #ms
+omega = 2.0*np.pi/period
 #T2s_scale = 0.01 #ms # need to be 10ms
 T2s_scale = total_periods*period/rf_samples_per_period/voxel_num*8 #ms # need to be 10ms
 T2s_min = T2s_scale/20.0 
-#print(period)
 #ms
-time_steps = np.array(mp.linspace(mpf(0), mpf(period*total_periods), rf_samples_per_period*total_periods))
-tmp = [mp.rand()*0.0+mpf(1.0) for n in range(voxel_num)]
+time_steps = np.array(mp.linspace((0), (period*total_periods), rf_samples_per_period*total_periods))
+tmp = [np.random.rand()*0.0+(1.0) for n in range(voxel_num)]
 voxel_amplitudes = np.array(tmp)
-tmp = [mp.rand() for n in range(voxel_num)]
+tmp = [np.random.rand() for n in range(voxel_num)]
 voxel_T2s_decay = np.sort(np.array(tmp))*(T2s_scale-2*T2s_min) + T2s_min
 
 voxel_all = np.append(voxel_amplitudes,voxel_T2s_decay/T2s_scale)
 if voxel_num == 5:
-#    voxel_all = np.array([mpf(0.2),mpf(0.6),mpf(0.02),mpf(0.1)])
-    voxel_all = np.array([mpf(0.822628),mpf(0.691376),mpf(0.282906),mpf(0.226013),mpf(0.90703),mpf(0.144985),mpf(0.228563),mpf(0.340353),mpf(0.462462),mpf(0.720518)])
-    #voxel_all = np.array([mpf(0.592606),mpf(0.135168),mpf(0.365712),mpf(0.667536),mpf(0.437378),mpf(0.918822),mpf(0.943879),mpf(0.590338),mpf(0.685997),mpf(0.658839)])
+#    voxel_all = np.array([mpf(0.2),(0.6),(0.02),(0.1)])
+    voxel_all = np.array([(0.822628),(0.691376),(0.282906),(0.226013),(0.90703),(0.144985),(0.228563),(0.340353),(0.462462),(0.720518)])
+    #voxel_all = np.array([(0.592606),(0.135168),(0.365712),(0.667536),(0.437378),(0.918822),(0.943879),(0.590338),(0.685997),(0.658839)])
     voxel_amplitudes = voxel_all[:voxel_num]
     voxel_T2s_decay = voxel_all[voxel_num:]*T2s_scale
 
-# a_i = np.array([mpf(0.3),mpf(0.1),mpf(0.15),mpf(0.1)])
-# d_i = np.array([mpf(0.7),mpf(0.9),mpf(0.2),mpf(0.67)])
+# a_i = np.array([(0.3),(0.1),(0.15),(0.1)])
+# d_i = np.array([(0.7),(0.9),(0.2),(0.67)])
 # voxel_num = len(a_i)
 
 
-voxel_phases = np.array(mp.linspace(0,phase_range, voxel_num))
+voxel_phases = np.array(np.linspace(0,phase_range, voxel_num))
 # if len(voxel_amplitudes) != len(voxel_phases):
 #     print("ERROR! Size of amplitude and phase arrays do not match!")
 #     raise
@@ -60,28 +59,20 @@ def gen_rf_signal(time):
     mag_sin = np.array(tmp)
     mag_cos = np.array(tmp)    
     for t in range(len(time)):
-        #print("time",float(time[t]))
         for i in range(voxel_num):
             # mag_sin[t] += a_i[i]*(
             #     (d_i[i] + np.random.rand()*noise_ratio)**time[t]
             # )
-            # print("a_{:d} =".format(i),float(a_i[i]),", ",
-            #       "d_{:d} =".format(i),float(d_i[i]),"+", np.random.rand()*noise_ratio)
-
             amp = voxel_amplitudes[i] * (
                 mp.exp(-time[t]/voxel_T2s_decay[i])
                 ) + ( 0.0 
                           # + np.random.rand()*noise_ratio
                         )
             if t == 0:
-                #print("a_{:d}".format(i),float(voxel_amplitudes[i]* mp.sin(voxel_phases[i] + phase_init)))
-                print("d_{:d}".format(i),float( mp.exp(-(period/rf_samples_per_period)/voxel_T2s_decay[i]) ))
-            mag_sin[t] += amp * mp.sin(
-                voxel_phases[i] + phase_init
-                )
-            mag_cos[t] += amp * mp.cos(
-                voxel_phases[i] + phase_init
-                )
+                #print("a_{:d}".format(i),float(voxel_amplitudes[i]* np.sin(voxel_phases[i] + phase_init)))
+                print("d_{:d}".format(i),float( np.exp(-(period/rf_samples_per_period)/voxel_T2s_decay[i]) ))
+            mag_sin[t] += amp * np.sin((voxel_phases[i] + phase_init))
+            mag_cos[t] += amp * np.cos((voxel_phases[i] + phase_init))
     return mag_sin, mag_cos
 
 def factorial(n):
@@ -120,10 +111,9 @@ def GetLambda(mag_rf):
     M_cutoff = len(mag_rf)
     all_lambda = []
     for i in range(M_cutoff):
-#        print("M = ", i)
-        lambd = (0)
+        lambd = mpf(0.0)
         for j in range(i+1):
-            lambd += K(i,j)*mag_rf[j]
+            lambd += K(i,j)*mpf(mag_rf[j])
 #            print("K({:d},{:d}) =".format(i,j), float(K(i,j)))
         all_lambda.append(float(lambd))
     # tmp = [mpf(0.0) for n in range(M_cutoff)]