29 |
/// Needed for calculating frequency ratio used to pitch a sample |
/// Needed for calculating frequency ratio used to pitch a sample |
30 |
#define TWELVEHUNDREDTH_ROOT_OF_TWO 1.000577789506555 |
#define TWELVEHUNDREDTH_ROOT_OF_TWO 1.000577789506555 |
31 |
|
|
32 |
/** Real Time Math |
enum implementation_t { |
33 |
* |
CPP, |
34 |
* Math functions for real time operation. |
ASM_X86_MMX_SSE |
35 |
*/ |
}; |
|
class RTMath { |
|
|
public: |
|
|
/** |
|
|
* Converts a double to integer type. |
|
|
*/ |
|
|
inline static int DoubleToInt(double f) { |
|
|
#if ARCH_X86 |
|
|
int i; |
|
|
__asm__ ("fistl %0" : "=m"(i) : "st"(f - 0.5) ); |
|
|
return i; |
|
|
#else |
|
|
return (int) f; |
|
|
#endif // ARCH_X86 |
|
|
} |
|
36 |
|
|
37 |
|
class RTMathBase { |
38 |
|
public: |
39 |
/** |
/** |
40 |
* Calculates the frequency ratio for a pitch value given in cents |
* Calculates the frequency ratio for a pitch value given in cents |
41 |
* (assuming equal tempered scale of course, divided into 12 |
* (assuming equal tempered scale of course, divided into 12 |
50 |
* @returns frequency ratio (e.g. +2.0 for +1 octave) |
* @returns frequency ratio (e.g. +2.0 for +1 octave) |
51 |
*/ |
*/ |
52 |
inline static double CentsToFreqRatio(double Cents) { |
inline static double CentsToFreqRatio(double Cents) { |
53 |
int index_int = DoubleToInt(Cents); // integer index |
int index_int = (int) (Cents); // integer index |
54 |
float index_fract = Cents - index_int; // fractional part of index |
float index_fract = Cents - index_int; // fractional part of index |
55 |
return pCentsToFreqTable[index_int] + index_fract * (pCentsToFreqTable[index_int+1] - pCentsToFreqTable[index_int]); |
return pCentsToFreqTable[index_int] + index_fract * (pCentsToFreqTable[index_int+1] - pCentsToFreqTable[index_int]); |
56 |
} |
} |
57 |
|
|
58 |
template<class T_a, class T_b> inline static T_a Min(T_a a, T_b b) { |
private: |
59 |
|
static float CentsToFreqTable[MAX_PITCH * 1200 * 2 + 1]; |
60 |
|
static float* pCentsToFreqTable; |
61 |
|
|
62 |
|
static float* InitCentsToFreqTable(); |
63 |
|
}; |
64 |
|
|
65 |
|
/** Real Time Math |
66 |
|
* |
67 |
|
* Math functions for real time operation. |
68 |
|
*/ |
69 |
|
template<implementation_t IMPL = CPP> |
70 |
|
class __RTMath : public RTMathBase { |
71 |
|
public: |
72 |
|
// conversion using truncate |
73 |
|
inline static int Int(const float a) { |
74 |
|
switch (IMPL) { |
75 |
|
case CPP: { |
76 |
|
return (int) a; |
77 |
|
} |
78 |
|
case ASM_X86_MMX_SSE: { |
79 |
|
int ret; |
80 |
|
asm ( |
81 |
|
"cvttss2si %1, %0 # convert to int\n\t" |
82 |
|
: "=r" (ret) |
83 |
|
: "m" (a) |
84 |
|
); |
85 |
|
return ret; |
86 |
|
} |
87 |
|
} |
88 |
|
} |
89 |
|
|
90 |
|
//for doubles and everything else except floats |
91 |
|
template<class T_a> inline static int Int(const T_a a) { |
92 |
|
return (int) a; |
93 |
|
} |
94 |
|
|
95 |
|
inline static float Float(const int a) { |
96 |
|
switch (IMPL) { |
97 |
|
case CPP: { |
98 |
|
return (float) a; |
99 |
|
} |
100 |
|
case ASM_X86_MMX_SSE: { |
101 |
|
float ret; |
102 |
|
asm ( |
103 |
|
"cvtsi2ss %1, %%xmm0 # convert to float\n\t" |
104 |
|
"movss %%xmm0,%0 # output\n\t" |
105 |
|
: "=m" (ret) |
106 |
|
: "r" (a) |
107 |
|
); |
108 |
|
return ret; |
109 |
|
} |
110 |
|
} |
111 |
|
} |
112 |
|
|
113 |
|
#if 0 |
114 |
|
//for everything except ints |
115 |
|
template<class T_a> inline static float Float(T_a a) { |
116 |
|
return (float) a; |
117 |
|
} |
118 |
|
#endif |
119 |
|
|
120 |
|
inline static float Sum(const float& a, const float& b) { |
121 |
|
switch (IMPL) { |
122 |
|
case CPP: { |
123 |
|
return (a + b); |
124 |
|
} |
125 |
|
case ASM_X86_MMX_SSE: { |
126 |
|
float ret; |
127 |
|
asm ( |
128 |
|
"movss %1, %%xmm0 # load a\n\t" |
129 |
|
"addss %2, %%xmm0 # a + b\n\t" |
130 |
|
"movss %%xmm0, %0 # output\n\t" |
131 |
|
: "=m" (ret) |
132 |
|
: "m" (a), "m" (b) |
133 |
|
); |
134 |
|
return ret; |
135 |
|
} |
136 |
|
} |
137 |
|
} |
138 |
|
|
139 |
|
template<class T_a, class T_b> inline static T_a Sum(const T_a a, const T_b b) { |
140 |
|
return (a + b); |
141 |
|
} |
142 |
|
|
143 |
|
inline static float Sub(const float& a, const float& b) { |
144 |
|
switch (IMPL) { |
145 |
|
case CPP: { |
146 |
|
return (a - b); |
147 |
|
} |
148 |
|
case ASM_X86_MMX_SSE: { |
149 |
|
float ret; |
150 |
|
asm ( |
151 |
|
"movss %1, %%xmm0 # load a\n\t" |
152 |
|
"subss %2, %%xmm0 # a - b\n\t" |
153 |
|
"movss %%xmm0, %0 # output\n\t" |
154 |
|
: "=m" (ret) |
155 |
|
: "m" (a), "m" (b) |
156 |
|
); |
157 |
|
return ret; |
158 |
|
} |
159 |
|
} |
160 |
|
} |
161 |
|
|
162 |
|
template<class T_a, class T_b> inline static T_a Sub(const T_a a, const T_b b) { |
163 |
|
return (a - b); |
164 |
|
} |
165 |
|
|
166 |
|
inline static float Mul(const float a, const float b) { |
167 |
|
switch (IMPL) { |
168 |
|
case CPP: { |
169 |
|
return (a * b); |
170 |
|
} |
171 |
|
case ASM_X86_MMX_SSE: { |
172 |
|
float ret; |
173 |
|
asm ( |
174 |
|
"movss %1, %%xmm0 # load a\n\t" |
175 |
|
"mulss %2, %%xmm0 # a * b\n\t" |
176 |
|
"movss %%xmm0, %0 # output\n\t" |
177 |
|
: "=m" (ret) |
178 |
|
: "m" (a), "m" (b) |
179 |
|
); |
180 |
|
return ret; |
181 |
|
} |
182 |
|
} |
183 |
|
} |
184 |
|
|
185 |
|
template<class T_a, class T_b> inline static T_a Mul(const T_a a, const T_b b) { |
186 |
|
return (a * b); |
187 |
|
} |
188 |
|
|
189 |
|
inline static float Div(const float a, const float b) { |
190 |
|
switch (IMPL) { |
191 |
|
case CPP: { |
192 |
|
return (a / b); |
193 |
|
} |
194 |
|
case ASM_X86_MMX_SSE: { |
195 |
|
float ret; |
196 |
|
asm ( |
197 |
|
"movss %1, %%xmm0 # load a\n\t" |
198 |
|
"divss %2, %%xmm0 # a / b\n\t" |
199 |
|
"movss %%xmm0, %0 # output\n\t" |
200 |
|
: "=m" (ret) |
201 |
|
: "m" (a), "m" (b) |
202 |
|
); |
203 |
|
return ret; |
204 |
|
} |
205 |
|
} |
206 |
|
} |
207 |
|
|
208 |
|
template<class T_a, class T_b> inline static T_a Div(const T_a a, const T_b b) { |
209 |
|
return (a / b); |
210 |
|
} |
211 |
|
|
212 |
|
inline static float Min(const float a, const float b) { |
213 |
|
switch (IMPL) { |
214 |
|
case CPP: { |
215 |
|
return (b < a) ? b : a; |
216 |
|
} |
217 |
|
case ASM_X86_MMX_SSE: { |
218 |
|
float ret; |
219 |
|
asm ( |
220 |
|
"movss %1, %%xmm0 # load a\n\t" |
221 |
|
"minss %2, %%xmm0 # Minimum(a, b)\n\t" |
222 |
|
"movss %%xmm0, %0 # output\n\t" |
223 |
|
: "=m" (ret) |
224 |
|
: "m" (a), "m" (b) |
225 |
|
); |
226 |
|
return ret; |
227 |
|
} |
228 |
|
} |
229 |
|
} |
230 |
|
|
231 |
|
template<class T_a, class T_b> inline static T_a Min(const T_a a, const T_b b) { |
232 |
return (b < a) ? b : a; |
return (b < a) ? b : a; |
233 |
} |
} |
234 |
|
|
235 |
template<class T_a, class T_b> inline static T_a Max(T_a a, T_b b) { |
inline static float Max(const float a, const float b) { |
236 |
|
switch (IMPL) { |
237 |
|
case CPP: { |
238 |
|
return (b > a) ? b : a; |
239 |
|
} |
240 |
|
case ASM_X86_MMX_SSE: { |
241 |
|
float ret; |
242 |
|
asm ( |
243 |
|
"movss %1, %%xmm0 # load a\n\t" |
244 |
|
"maxss %2, %%xmm0 # Maximum(a, b)\n\t" |
245 |
|
"movss %%xmm0, %0 # output\n\t" |
246 |
|
: "=m" (ret) |
247 |
|
: "m" (a), "m" (b) |
248 |
|
); |
249 |
|
return ret; |
250 |
|
} |
251 |
|
} |
252 |
|
} |
253 |
|
|
254 |
|
template<class T_a, class T_b> inline static T_a Max(const T_a a, const T_b b) { |
255 |
return (b > a) ? b : a; |
return (b > a) ? b : a; |
256 |
} |
} |
|
private: |
|
|
static float CentsToFreqTable[MAX_PITCH * 1200 * 2 + 1]; |
|
|
static float* pCentsToFreqTable; |
|
257 |
|
|
258 |
static float* InitCentsToFreqTable(); |
inline static float Fmodf(const float &a, const float &b) { |
259 |
|
switch (IMPL) { |
260 |
|
case CPP: { |
261 |
|
return fmodf(a, b); |
262 |
|
} |
263 |
|
case ASM_X86_MMX_SSE: { |
264 |
|
float ret; |
265 |
|
asm ( |
266 |
|
"movss %1, %%xmm0 # load a\n\t" |
267 |
|
"movss %2, %%xmm1 # load b\n\t" |
268 |
|
"movss %%xmm0,%%xmm2\n\t" |
269 |
|
"divss %%xmm1, %%xmm2 # xmm2 = a / b\n\t" |
270 |
|
"cvttss2si %%xmm2, %%ecx #convert to int\n\t" |
271 |
|
"cvtsi2ss %%ecx, %%xmm2 #convert back to float\n\t" |
272 |
|
"mulss %%xmm1, %%xmm2 # xmm2 = b * int(a/b)\n\t" |
273 |
|
"subss %%xmm2, %%xmm0 #sub a\n\t" |
274 |
|
"movss %%xmm0, %0 # output\n\t" |
275 |
|
: "=m" (ret) |
276 |
|
: "m" (a), "m" (b) |
277 |
|
: "%ecx" |
278 |
|
); |
279 |
|
return ret; |
280 |
|
} |
281 |
|
} |
282 |
|
} |
283 |
}; |
}; |
284 |
|
|
285 |
|
/// convenience typedef for using the default implementation (which is CPP) |
286 |
|
typedef __RTMath<> RTMath; |
287 |
|
|
288 |
#endif // __RT_MATH_H__ |
#endif // __RT_MATH_H__ |