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-rw-r--r--Alc/ALu.c26
-rw-r--r--Alc/panning.c225
-rw-r--r--OpenAL32/Include/alMain.h5
-rw-r--r--OpenAL32/Include/alu.h8
4 files changed, 134 insertions, 130 deletions
diff --git a/Alc/ALu.c b/Alc/ALu.c
index 81d52683..effa06b4 100644
--- a/Alc/ALu.c
+++ b/Alc/ALu.c
@@ -959,14 +959,21 @@ ALvoid CalcSourceParams(ALvoice *voice, const ALsource *ALSource, const ALCconte
else
{
MixGains *gains = voice->Direct.Mix.Gains[0];
- ALfloat DirGain = 0.0f;
- ALfloat AmbientGain;
for(j = 0;j < MaxChannels;j++)
gains[j].Target = 0.0f;
/* Normalize the length, and compute panned gains. */
- if(Distance > FLT_EPSILON)
+ if(!(Distance > FLT_EPSILON))
+ {
+ ALfloat gain = 1.0f / sqrtf(Device->NumSpeakers);
+ for(i = 0;i < (ALint)Device->NumSpeakers;i++)
+ {
+ enum Channel chan = Device->Speaker[i].ChanName;
+ gains[chan].Target = gain;
+ }
+ }
+ else
{
ALfloat radius = ALSource->Radius;
ALfloat Target[MaxChannels];
@@ -975,22 +982,11 @@ ALvoid CalcSourceParams(ALvoice *voice, const ALsource *ALSource, const ALCconte
Position[1] *= invlen;
Position[2] *= invlen;
- DirGain = sqrtf(Position[0]*Position[0] + Position[2]*Position[2]);
- ComputeAngleGains(Device, atan2f(Position[0], -Position[2]*ZScale), 0.0f,
- DryGain*DirGain, Target);
+ ComputeDirectionalGains(Device, Position, DryGain, Target);
for(j = 0;j < MaxChannels;j++)
gains[j].Target = Target[j];
}
- /* Adjustment for vertical offsets. Not the greatest, but simple
- * enough. */
- AmbientGain = DryGain * sqrtf(1.0f/Device->NumSpeakers) * (1.0f-DirGain);
- for(i = 0;i < (ALint)Device->NumSpeakers;i++)
- {
- enum Channel chan = Device->Speaker[i].ChanName;
- gains[chan].Target = maxf(gains[chan].Target, AmbientGain);
- }
-
if(!voice->Direct.Moving)
{
for(j = 0;j < MaxChannels;j++)
diff --git a/Alc/panning.c b/Alc/panning.c
index a3f6d09a..d0c89071 100644
--- a/Alc/panning.c
+++ b/Alc/panning.c
@@ -33,111 +33,51 @@
extern inline void SetGains(const ALCdevice *device, ALfloat ingain, ALfloat gains[MaxChannels]);
-static void SetSpeakerArrangement(const char *name, ALCdevice *device)
-{
- char *confkey, *next;
- char *layout_str;
- char *sep, *end;
- enum Channel val;
- const char *str;
- ALuint i;
-
- if(!ConfigValueStr(NULL, name, &str) && !ConfigValueStr(NULL, "layout", &str))
- return;
-
- layout_str = strdup(str);
- next = confkey = layout_str;
- while(next && *next)
- {
- confkey = next;
- next = strchr(confkey, ',');
- if(next)
- {
- *next = 0;
- do {
- next++;
- } while(isspace(*next) || *next == ',');
- }
-
- sep = strchr(confkey, '=');
- if(!sep || confkey == sep)
- {
- ERR("Malformed speaker key: %s\n", confkey);
- continue;
- }
-
- end = sep - 1;
- while(isspace(*end) && end != confkey)
- end--;
- *(++end) = 0;
-
- if(strcmp(confkey, "fl") == 0 || strcmp(confkey, "front-left") == 0)
- val = FrontLeft;
- else if(strcmp(confkey, "fr") == 0 || strcmp(confkey, "front-right") == 0)
- val = FrontRight;
- else if(strcmp(confkey, "fc") == 0 || strcmp(confkey, "front-center") == 0)
- val = FrontCenter;
- else if(strcmp(confkey, "bl") == 0 || strcmp(confkey, "back-left") == 0)
- val = BackLeft;
- else if(strcmp(confkey, "br") == 0 || strcmp(confkey, "back-right") == 0)
- val = BackRight;
- else if(strcmp(confkey, "bc") == 0 || strcmp(confkey, "back-center") == 0)
- val = BackCenter;
- else if(strcmp(confkey, "sl") == 0 || strcmp(confkey, "side-left") == 0)
- val = SideLeft;
- else if(strcmp(confkey, "sr") == 0 || strcmp(confkey, "side-right") == 0)
- val = SideRight;
- else
- {
- ERR("Unknown speaker for %s: \"%s\"\n", name, confkey);
- continue;
- }
-
- *(sep++) = 0;
- while(isspace(*sep))
- sep++;
-
- for(i = 0;i < device->NumSpeakers;i++)
- {
- if(device->Speaker[i].ChanName == val)
- {
- long angle = strtol(sep, NULL, 10);
- if(angle >= -180 && angle <= 180)
- device->Speaker[i].Angle = DEG2RAD(angle);
- else
- ERR("Invalid angle for speaker \"%s\": %ld\n", confkey, angle);
- break;
- }
- }
- }
- free(layout_str);
- layout_str = NULL;
-
- for(i = 0;i < device->NumSpeakers;i++)
- {
- ALuint min = i;
- ALuint i2;
- for(i2 = i+1;i2 < device->NumSpeakers;i2++)
- {
- if(device->Speaker[i2].Angle < device->Speaker[min].Angle)
- min = i2;
- }
+static inline void Set0thOrder(ALfloat coeffs[16], ALfloat w)
+{
+ coeffs[0] = w;
+}
- if(min != i)
- {
- ALfloat tmpf;
- enum Channel tmpc;
+static inline void Set1stOrder(ALfloat coeffs[16], ALfloat w, ALfloat x, ALfloat y, ALfloat z)
+{
+ coeffs[0] = w;
+ coeffs[1] = x;
+ coeffs[2] = y;
+ coeffs[3] = z;
+}
- tmpf = device->Speaker[i].Angle;
- device->Speaker[i].Angle = device->Speaker[min].Angle;
- device->Speaker[min].Angle = tmpf;
+static inline void Set2ndOrder(ALfloat coeffs[16], ALfloat w, ALfloat x, ALfloat y, ALfloat z, ALfloat r, ALfloat s, ALfloat t, ALfloat u, ALfloat v)
+{
+ coeffs[0] = w;
+ coeffs[1] = x;
+ coeffs[2] = y;
+ coeffs[3] = z;
+ coeffs[4] = r;
+ coeffs[5] = s;
+ coeffs[6] = t;
+ coeffs[7] = u;
+ coeffs[8] = v;
+}
- tmpc = device->Speaker[i].ChanName;
- device->Speaker[i].ChanName = device->Speaker[min].ChanName;
- device->Speaker[min].ChanName = tmpc;
- }
- }
+static inline void Set3rdOrder(ALfloat coeffs[16], ALfloat w, ALfloat x, ALfloat y, ALfloat z, ALfloat r, ALfloat s, ALfloat t, ALfloat u, ALfloat v, ALfloat k, ALfloat l, ALfloat m, ALfloat n, ALfloat o, ALfloat p, ALfloat q)
+{
+ coeffs[0] = w;
+ coeffs[1] = x;
+ coeffs[2] = y;
+ coeffs[3] = z;
+ coeffs[4] = r;
+ coeffs[5] = s;
+ coeffs[6] = t;
+ coeffs[7] = u;
+ coeffs[8] = v;
+ coeffs[9] = k;
+ coeffs[10] = l;
+ coeffs[11] = m;
+ coeffs[12] = n;
+ coeffs[13] = o;
+ coeffs[14] = p;
+ coeffs[15] = q;
}
@@ -155,12 +95,13 @@ void ComputeAngleGains(const ALCdevice *device, ALfloat angle, ALfloat hwidth, A
for(i = 0;i < device->NumSpeakers;i++)
SpeakerAngle[i] = device->Speaker[i].Angle;
+ for(i = 0;i < MaxChannels;i++)
+ gains[i] = 0.0f;
+
/* Some easy special-cases first... */
if(device->NumSpeakers <= 1 || hwidth >= F_PI)
{
/* Full coverage for all speakers. */
- for(i = 0;i < MaxChannels;i++)
- gains[i] = 0.0f;
for(i = 0;i < device->NumSpeakers;i++)
{
enum Channel chan = Speaker2Chan[i];
@@ -171,8 +112,6 @@ void ComputeAngleGains(const ALCdevice *device, ALfloat angle, ALfloat hwidth, A
if(hwidth <= 0.0f)
{
/* Infinitely small sound point. */
- for(i = 0;i < MaxChannels;i++)
- gains[i] = 0.0f;
for(i = 0;i < device->NumSpeakers-1;i++)
{
if(angle >= SpeakerAngle[i] && angle < SpeakerAngle[i+1])
@@ -338,10 +277,45 @@ void ComputeAngleGains(const ALCdevice *device, ALfloat angle, ALfloat hwidth, A
}
}
+void ComputeDirectionalGains(const ALCdevice *device, const ALfloat dir[3], ALfloat ingain, ALfloat gains[MaxChannels])
+{
+ ALfloat coeffs[MAX_AMBI_COEFFS];
+ ALuint i, j;
+
+ /* Convert from OpenAL coords to Ambisonics. */
+ coeffs[0] = 0.7071f; /* sqrt(1.0 / 2.0) */
+ coeffs[1] = -dir[2]; /* X */
+ coeffs[2] = -dir[0]; /* Y */
+ coeffs[3] = dir[1]; /* Z */
+ coeffs[4] = 0.5f * (3.0f*dir[1]*dir[1] - 1.0f); /* 0.5 * (3*Z*Z - 1) */
+ coeffs[5] = 2.0f * dir[1] * -dir[2]; /* 2*Z*X */
+ coeffs[6] = 2.0f * -dir[0] * dir[1]; /* 2*Y*Z */
+ coeffs[7] = dir[2]*dir[2] - dir[0]*dir[0]; /* X*X - Y*Y */
+ coeffs[8] = 2.0f * -dir[2] * -dir[0]; /* 2*X*Y */
+ coeffs[9] = 0.5f * dir[1] * (5.0f*dir[1]*dir[1] - 3.0f); /* 0.5 * Z * (5*Z*Z - 3) */
+ coeffs[10] = 0.7262f * -dir[2] * (5.0f*dir[1]*dir[1] - 1.0f); /* sqrt(135.0 / 256.0) * X * (5*Z*Z - 1) */
+ coeffs[11] = 0.7262f * -dir[0] * (5.0f*dir[1]*dir[1] - 1.0f); /* sqrt(135.0 / 256.0) * Y * (5*Z*Z - 1) */
+ coeffs[12] = 2.5981f * dir[1] * (dir[2]*dir[2] - dir[0]*dir[0]); /* sqrt(27.0 / 4.0) * Z * (X*X - Y*Y) */
+ coeffs[13] = 5.1962f * -dir[2] * -dir[0] * dir[1]; /* sqrt(27) * X * Y * Z */
+ coeffs[14] = -dir[2] * (dir[2]*dir[2] - 3.0f*dir[0]*dir[0]); /* X * (X*X - 3*Y*Y) */
+ coeffs[15] = -dir[0] * (3.0f*dir[2]*dir[2] - dir[0]*dir[0]); /* Y * (3*X*X - Y*Y) */
+
+ for(i = 0;i < MaxChannels;i++)
+ gains[i] = 0.0f;
+ for(i = 0;i < device->NumSpeakers;i++)
+ {
+ enum Channel chan = device->Speaker[i].ChanName;
+ for(j = 0;j < MAX_AMBI_COEFFS;j++)
+ gains[chan] += device->Speaker[i].Coeff[j]*coeffs[j];
+ gains[chan] = maxf(gains[chan], 0.0f) * ingain;
+ }
+}
+
ALvoid aluInitPanning(ALCdevice *device)
{
- const char *layoutname = NULL;
+ memset(device->Speaker, 0, sizeof(device->Speaker));
+ device->NumSpeakers = 0;
switch(device->FmtChans)
{
@@ -349,7 +323,7 @@ ALvoid aluInitPanning(ALCdevice *device)
device->NumSpeakers = 1;
device->Speaker[0].ChanName = FrontCenter;
device->Speaker[0].Angle = DEG2RAD(0.0f);
- layoutname = NULL;
+ Set0thOrder(device->Speaker[0].Coeff, 1.4142f);
break;
case DevFmtStereo:
@@ -358,7 +332,8 @@ ALvoid aluInitPanning(ALCdevice *device)
device->Speaker[1].ChanName = FrontRight;
device->Speaker[0].Angle = DEG2RAD(-90.0f);
device->Speaker[1].Angle = DEG2RAD( 90.0f);
- layoutname = "layout_stereo";
+ Set1stOrder(device->Speaker[0].Coeff, 0.7071f, -0.5f, 0.0f, 0.0f);
+ Set1stOrder(device->Speaker[1].Coeff, 0.7071f, 0.5f, 0.0f, 0.0f);
break;
case DevFmtQuad:
@@ -371,7 +346,10 @@ ALvoid aluInitPanning(ALCdevice *device)
device->Speaker[1].Angle = DEG2RAD( -45.0f);
device->Speaker[2].Angle = DEG2RAD( 45.0f);
device->Speaker[3].Angle = DEG2RAD( 135.0f);
- layoutname = "layout_quad";
+ Set2ndOrder(device->Speaker[0].Coeff, 0.353543f, -0.306192f, 0.306181f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -0.117193f);
+ Set2ndOrder(device->Speaker[1].Coeff, 0.353558f, 0.306181f, 0.306192f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.117183f);
+ Set2ndOrder(device->Speaker[2].Coeff, 0.353543f, 0.306181f, -0.306192f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -0.117193f);
+ Set2ndOrder(device->Speaker[3].Coeff, 0.353558f, -0.306192f, -0.306181f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.117183f);
break;
case DevFmtX51:
@@ -386,7 +364,11 @@ ALvoid aluInitPanning(ALCdevice *device)
device->Speaker[2].Angle = DEG2RAD( 0.0f);
device->Speaker[3].Angle = DEG2RAD( 30.0f);
device->Speaker[4].Angle = DEG2RAD( 110.0f);
- layoutname = "layout_surround51";
+ Set3rdOrder(device->Speaker[0].Coeff, 0.470934f, -0.369630f, 0.349383f, 0.0f, 0.0f, 0.0f, 0.0f, -0.031379f, -0.058143f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -0.007116f, -0.043968f);
+ Set3rdOrder(device->Speaker[1].Coeff, 0.208954f, 0.212846f, 0.238350f, 0.0f, 0.0f, 0.0f, 0.0f, -0.017738f, 0.204014f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -0.051023f, 0.047490f);
+ Set3rdOrder(device->Speaker[2].Coeff, 0.109403f, 0.179490f, -0.000002f, 0.0f, 0.0f, 0.0f, 0.0f, 0.142031f, -0.000002f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.072024f, -0.000001f);
+ Set3rdOrder(device->Speaker[3].Coeff, 0.208950f, 0.212842f, -0.238350f, 0.0f, 0.0f, 0.0f, 0.0f, -0.017740f, -0.204011f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -0.051022f, -0.047489f);
+ Set3rdOrder(device->Speaker[4].Coeff, 0.470936f, -0.369626f, -0.349386f, 0.0f, 0.0f, 0.0f, 0.0f, -0.031375f, 0.058144f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -0.007119f, 0.043968f);
break;
case DevFmtX51Side:
@@ -401,7 +383,11 @@ ALvoid aluInitPanning(ALCdevice *device)
device->Speaker[2].Angle = DEG2RAD( 0.0f);
device->Speaker[3].Angle = DEG2RAD( 30.0f);
device->Speaker[4].Angle = DEG2RAD( 90.0f);
- layoutname = "layout_side51";
+ Set3rdOrder(device->Speaker[0].Coeff, 0.289151f, -0.081301f, 0.401292f, 0.0f, 0.0f, 0.0f, 0.0f, -0.188208f, -0.071420f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.010099f, -0.032897f);
+ Set3rdOrder(device->Speaker[1].Coeff, 0.167065f, 0.200583f, 0.172695f, 0.0f, 0.0f, 0.0f, 0.0f, 0.029855f, 0.186407f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -0.039241f, 0.068910f);
+ Set3rdOrder(device->Speaker[2].Coeff, 0.109403f, 0.179490f, -0.000002f, 0.0f, 0.0f, 0.0f, 0.0f, 0.142031f, -0.000002f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.072024f, -0.000001f);
+ Set3rdOrder(device->Speaker[3].Coeff, 0.167058f, 0.200580f, -0.172701f, 0.0f, 0.0f, 0.0f, 0.0f, 0.029846f, -0.186405f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -0.039241f, -0.068904f);
+ Set3rdOrder(device->Speaker[4].Coeff, 0.289157f, -0.081298f, -0.401295f, 0.0f, 0.0f, 0.0f, 0.0f, -0.188208f, 0.071419f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.010099f, 0.032897f);
break;
case DevFmtX61:
@@ -418,7 +404,12 @@ ALvoid aluInitPanning(ALCdevice *device)
device->Speaker[3].Angle = DEG2RAD( 30.0f);
device->Speaker[4].Angle = DEG2RAD( 90.0f);
device->Speaker[5].Angle = DEG2RAD(180.0f);
- layoutname = "layout_surround61";
+ Set3rdOrder(device->Speaker[0].Coeff, 0.289151f, -0.081301f, 0.401292f, 0.0f, 0.0f, 0.0f, 0.0f, -0.188208f, -0.071420f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.010099f, -0.032897f);
+ Set3rdOrder(device->Speaker[1].Coeff, 0.167065f, 0.200583f, 0.172695f, 0.0f, 0.0f, 0.0f, 0.0f, 0.029855f, 0.186407f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -0.039241f, 0.068910f);
+ Set3rdOrder(device->Speaker[2].Coeff, 0.109403f, 0.179490f, -0.000002f, 0.0f, 0.0f, 0.0f, 0.0f, 0.142031f, -0.000002f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.072024f, -0.000001f);
+ Set3rdOrder(device->Speaker[3].Coeff, 0.167058f, 0.200580f, -0.172701f, 0.0f, 0.0f, 0.0f, 0.0f, 0.029846f, -0.186405f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -0.039241f, -0.068904f);
+ Set3rdOrder(device->Speaker[4].Coeff, 0.289157f, -0.081298f, -0.401295f, 0.0f, 0.0f, 0.0f, 0.0f, -0.188208f, 0.071419f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.010099f, 0.032897f);
+ Set3rdOrder(device->Speaker[5].Coeff, 0.353556f, -0.461940f, -0.000006f, 0.0f, 0.0f, 0.0f, 0.0f, 0.165723f, -0.000000f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.000000f, 0.000005f);
break;
case DevFmtX71:
@@ -437,9 +428,13 @@ ALvoid aluInitPanning(ALCdevice *device)
device->Speaker[4].Angle = DEG2RAD( 30.0f);
device->Speaker[5].Angle = DEG2RAD( 90.0f);
device->Speaker[6].Angle = DEG2RAD( 150.0f);
- layoutname = "layout_surround71";
+ Set3rdOrder(device->Speaker[0].Coeff, 0.224752f, -0.295009f, 0.170325f, 0.0f, 0.0f, 0.0f, 0.0f, 0.105349f, -0.182473f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -0.000000f, 0.065799f);
+ Set3rdOrder(device->Speaker[1].Coeff, 0.224739f, 0.000002f, 0.340644f, 0.0f, 0.0f, 0.0f, 0.0f, -0.210697f, 0.000002f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -0.000000f, -0.065795f);
+ Set3rdOrder(device->Speaker[2].Coeff, 0.167065f, 0.200583f, 0.172695f, 0.0f, 0.0f, 0.0f, 0.0f, 0.029855f, 0.186407f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -0.039241f, 0.068910f);
+ Set3rdOrder(device->Speaker[3].Coeff, 0.109403f, 0.179490f, -0.000002f, 0.0f, 0.0f, 0.0f, 0.0f, 0.142031f, -0.000002f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.072024f, -0.000001f);
+ Set3rdOrder(device->Speaker[4].Coeff, 0.167058f, 0.200580f, -0.172701f, 0.0f, 0.0f, 0.0f, 0.0f, 0.029846f, -0.186405f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -0.039241f, -0.068904f);
+ Set3rdOrder(device->Speaker[5].Coeff, 0.224754f, 0.000004f, -0.340647f, 0.0f, 0.0f, 0.0f, 0.0f, -0.210697f, -0.000004f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -0.000000f, 0.065796f);
+ Set3rdOrder(device->Speaker[6].Coeff, 0.224739f, -0.295005f, -0.170331f, 0.0f, 0.0f, 0.0f, 0.0f, 0.105342f, 0.182470f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -0.000000f, -0.065792f);
break;
}
- if(layoutname && device->Type != Loopback)
- SetSpeakerArrangement(layoutname, device);
}
diff --git a/OpenAL32/Include/alMain.h b/OpenAL32/Include/alMain.h
index 805a6f42..a658227b 100644
--- a/OpenAL32/Include/alMain.h
+++ b/OpenAL32/Include/alMain.h
@@ -585,6 +585,10 @@ enum DeviceType {
*/
#define BUFFERSIZE (2048u)
+/* The maximum number of Ambisonics coefficients. For a given order (o), the
+ * size needed will be (o+1)**2, thus zero-order has 1, first-order has 4,
+ * second-order has 9, and third-order has 16. */
+#define MAX_AMBI_COEFFS 16
struct ALCdevice_struct
{
@@ -652,6 +656,7 @@ struct ALCdevice_struct
struct {
enum Channel ChanName;
ALfloat Angle;
+ ALfloat Coeff[MAX_AMBI_COEFFS];
} Speaker[MaxChannels];
ALuint NumSpeakers;
diff --git a/OpenAL32/Include/alu.h b/OpenAL32/Include/alu.h
index 55d33988..136025d1 100644
--- a/OpenAL32/Include/alu.h
+++ b/OpenAL32/Include/alu.h
@@ -202,6 +202,14 @@ inline ALfloat cubic(ALfloat val0, ALfloat val1, ALfloat val2, ALfloat val3, ALf
ALvoid aluInitPanning(ALCdevice *Device);
/**
+ * ComputeDirectionalGains
+ *
+ * Sets channel gains based on the given source's direction. The direction must
+ * be a 3-component vector no longer than 1 unit.
+ */
+void ComputeDirectionalGains(const ALCdevice *device, const ALfloat dir[3], ALfloat ingain, ALfloat gains[MaxChannels]);
+
+/**
* ComputeAngleGains
*
* Sets channel gains based on a given source's angle and its half-width. The
generated by cgit v1.2.3 (git 2.39.1) at 2024-12-12 06:48:07 +0000