1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
|
#!/usr/bin/env python
'''
Copyright (C) 2004 Aaron Cyril Spike
This file is part of FretFind 2-D.
FretFind 2-D is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
FretFind 2-D is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with FretFind 2-D; if not, write to the Free Software
Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
'''
import sys
from ffgeom import *
threshold=0.0000000001
def FindFrets(strings, meta, scale, tuning, numfrets):
scale = scale['steps']
#if the string ends don't fall on the nut and bridge
#don't look for partial frets.
numStrings = len(strings)
doPartials = True
parallelFrets = True
nut = Segment(strings[0][0],strings[-1][0])
bridge = Segment(strings[0][1],strings[-1][1])
midline = Segment(
Point((nut[1]['x']+nut[0]['x'])/2.0,(nut[1]['y']+nut[0]['y'])/2.0),
Point((bridge[1]['x']+bridge[0]['x'])/2.0,(bridge[1]['y']+bridge[0]['y'])/2.0))
for s in strings:
if nut.perpDistanceToPoint(s[0])>=threshold or bridge.perpDistanceToPoint(s[1])>=threshold:
doPartials = False
break
denom = ((bridge[1]['y']-bridge[0]['y'])*(nut[1]['x']-nut[0]['x']))-((bridge[1]['x']-bridge[0]['x'])*(nut[1]['y']-nut[0]['y']))
if denom != 0:
parallelFrets = False
fretboard = []
tones = len(scale)-1
for i in range(len(strings)):
base = tuning[i]
frets = []
if doPartials:
frets.append(Segment(meta[i][0],meta[i+1][0]))
else:
frets.append(Segment(strings[i][0],strings[i][0]))
last = strings[i][0]
for j in range(numfrets):
step=((base+j-1)%(tones))+1
ratio=1.0-((scale[step][1]*scale[step-1][0])/(scale[step][0]*scale[step-1][1]))
x = last['x']+(ratio*(strings[i][1]['x']-last['x']))
y = last['y']+(ratio*(strings[i][1]['y']-last['y']))
current = Point(x,y)
temp = Segment(strings[i][0],current)
totalRatio = temp.length()/strings[i].length()
if doPartials:
#partials depending on outer strings (questionable)
if parallelFrets:
temp = nut.createParallel(current)
else:
temp = Segment(strings[0].pointAtLength(strings[0].length()*totalRatio),
strings[-1].pointAtLength(strings[-1].length()*totalRatio))
frets.append(Segment(intersectSegments(temp,meta[i]),intersectSegments(temp,meta[i+1])))
else:
frets.append(Segment(current,current))
last = current
fretboard.append(frets)
return fretboard
def FindStringsSingleScale(numStrings,scaleLength,nutWidth,bridgeWidth,oNF,oBF,oNL,oBL):
strings = []
meta = []
nutHalf = nutWidth/2
bridgeHalf = bridgeWidth/2
nutCandidateCenter = (nutHalf) + oNL
bridgeCandidateCenter = (bridgeHalf) + oBL
if bridgeCandidateCenter >= nutCandidateCenter:
center = bridgeCandidateCenter
else:
center = nutCandidateCenter
nutStringSpacing = nutWidth/(numStrings-1)
bridgeStringSpacing = bridgeWidth/(numStrings-1)
for i in range(numStrings):
strings.append(Segment(Point(center+nutHalf-(i*nutStringSpacing),0),
Point(center+bridgeHalf-(i*bridgeStringSpacing),scaleLength)))
meta.append(Segment(Point(center+nutHalf+oNF,0),Point(center+bridgeHalf+oBF,scaleLength)))
for i in range(1,numStrings):
meta.append(Segment(
Point((strings[i-1][0]['x']+strings[i][0]['x'])/2.0,
(strings[i-1][0]['y']+strings[i][0]['y'])/2.0),
Point((strings[i-1][1]['x']+strings[i][1]['x'])/2.0,
(strings[i-1][1]['y']+strings[i][1]['y'])/2.0)))
meta.append(Segment(Point(center-(nutHalf+oNL),0),Point(center-(bridgeHalf+oBL),scaleLength)))
return strings, meta
def FindStringsMultiScale(numStrings,scaleLengthF,scaleLengthL,nutWidth,bridgeWidth,perp,oNF,oBF,oNL,oBL):
strings = []
meta = []
nutHalf = nutWidth/2
bridgeHalf = bridgeWidth/2
nutCandidateCenter = (nutHalf)+oNL
bridgeCandidateCenter = (bridgeHalf)+oBL
if bridgeCandidateCenter >= nutCandidateCenter:
xcenter = bridgeCandidateCenter
else:
nutCandidateCenter
fbnxf = xcenter+nutHalf+oNF
fbbxf = xcenter+bridgeHalf+oBF
fbnxl = xcenter-(nutHalf+oNL)
fbbxl = xcenter-(bridgeHalf+oBL)
snxf = xcenter+nutHalf
sbxf = xcenter+bridgeHalf
snxl = xcenter-nutHalf
sbxl = xcenter-bridgeHalf
fdeltax = sbxf-snxf
ldeltax = sbxl-snxl
fdeltay = math.sqrt((scaleLengthF*scaleLengthF)-(fdeltax*fdeltax))
ldeltay = math.sqrt((scaleLengthL*scaleLengthL)-(ldeltax*ldeltax))
fperp = perp*fdeltay
lperp = perp*ldeltay
#temporarily place first and last strings
first = Segment(Point(snxf,0),Point(sbxf,fdeltay))
last = Segment(Point(snxl,0),Point(sbxl,ldeltay))
if fdeltay<=ldeltay:
first.translate(0,(lperp-fperp))
else:
last.translate(0,(fperp-lperp))
nut = Segment(first[0].copy(),last[0].copy())
bridge = Segment(first[1].copy(),last[1].copy())
#overhang measurements are now converted from delta x to along line lengths
oNF = (oNF*nut.length())/nutWidth
oNL = (oNL*nut.length())/nutWidth
oBF = (oBF*bridge.length())/bridgeWidth
oBL = (oBL*bridge.length())/bridgeWidth
#place fretboard edges
fbf = Segment(nut.pointAtLength(-oNF),bridge.pointAtLength(-oBF))
fbl = Segment(nut.pointAtLength(nut.length()+oNL),bridge.pointAtLength(bridge.length()+oBL))
#normalize values into the first quadrant via translate
if fbf[0]['y']<0 or fbl[0]['y']<0:
if fbf[0]['y']<=fbl[0]['y']:
move = -fbf[0]['y']
else:
move = -fbl[0]['y']
first.translate(0,move)
last.translate(0,move)
nut.translate(0,move)
bridge.translate(0,move)
fbf.translate(0,move)
fbl.translate(0,move)
#output values
nutStringSpacing = nut.length()/(numStrings-1)
bridgeStringSpacing = bridge.length()/(numStrings-1)
strings.append(first)
for i in range(1,numStrings-1):
n = nut.pointAtLength(i*nutStringSpacing)
b = bridge.pointAtLength(i*bridgeStringSpacing)
strings.append(Segment(Point(n['x'],n['y']),Point(b['x'],b['y'])))
strings.append(last)
meta.append(fbf)
for i in range(1,numStrings):
meta.append(Segment(
Point((strings[i-1][0]['x']+strings[i][0]['x'])/2.0,
(strings[i-1][0]['y']+strings[i][0]['y'])/2.0),
Point((strings[i-1][1]['x']+strings[i][1]['x'])/2.0,
(strings[i-1][1]['y']+strings[i][1]['y'])/2.0)))
meta.append(fbl)
return strings, meta
|
