Replace calls to sin(x) and cos(x) with a single call to sincos().
Replace calls to sinf(x) and cosf(x) with a single call to sincosf(). Submitted by: Steve Kargl <sgk@troutmask.apl.washington.edu> Reviewed by: bde Approved by: grog MFC after: 3 days
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@ -93,8 +93,7 @@ __ieee754_j0(double x)
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if(ix>=0x7ff00000) return one/(x*x);
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x = fabs(x);
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if(ix >= 0x40000000) { /* |x| >= 2.0 */
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s = sin(x);
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c = cos(x);
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sincos(x, &s, &c);
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ss = s-c;
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cc = s+c;
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if(ix<0x7fe00000) { /* Make sure x+x does not overflow. */
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@ -173,8 +172,7 @@ __ieee754_y0(double x)
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* sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
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* to compute the worse one.
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*/
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s = sin(x);
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c = cos(x);
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sincos(x, &s, &c);
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ss = s-c;
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cc = s+c;
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/*
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@ -55,8 +55,7 @@ __ieee754_j0f(float x)
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if(ix>=0x7f800000) return one/(x*x);
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x = fabsf(x);
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if(ix >= 0x40000000) { /* |x| >= 2.0 */
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s = sinf(x);
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c = cosf(x);
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sincosf(x, &s, &c);
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ss = s-c;
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cc = s+c;
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if(ix<0x7f000000) { /* Make sure x+x does not overflow. */
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@ -128,8 +127,7 @@ __ieee754_y0f(float x)
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* sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
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* to compute the worse one.
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*/
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s = sinf(x);
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c = cosf(x);
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sincosf(x, &s, &c);
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ss = s-c;
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cc = s+c;
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/*
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@ -94,8 +94,7 @@ __ieee754_j1(double x)
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if(ix>=0x7ff00000) return one/x;
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y = fabs(x);
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if(ix >= 0x40000000) { /* |x| >= 2.0 */
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s = sin(y);
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c = cos(y);
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sincos(y, &s, &c);
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ss = -s-c;
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cc = s-c;
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if(ix<0x7fe00000) { /* make sure y+y not overflow */
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@ -159,8 +158,7 @@ __ieee754_y1(double x)
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/* y1(x<0) = NaN and raise invalid exception. */
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if(hx<0) return vzero/vzero;
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if(ix >= 0x40000000) { /* |x| >= 2.0 */
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s = sin(x);
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c = cos(x);
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sincos(x, &s, &c);
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ss = -s-c;
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cc = s-c;
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if(ix<0x7fe00000) { /* make sure x+x not overflow */
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@ -56,8 +56,7 @@ __ieee754_j1f(float x)
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if(ix>=0x7f800000) return one/x;
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y = fabsf(x);
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if(ix >= 0x40000000) { /* |x| >= 2.0 */
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s = sinf(y);
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c = cosf(y);
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sincosf(y, &s, &c);
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ss = -s-c;
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cc = s-c;
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if(ix<0x7f000000) { /* make sure y+y not overflow */
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@ -114,8 +113,7 @@ __ieee754_y1f(float x)
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if(ix==0) return -one/vzero;
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if(hx<0) return vzero/vzero;
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if(ix >= 0x40000000) { /* |x| >= 2.0 */
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s = sinf(x);
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c = cosf(x);
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sincosf(x, &s, &c);
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ss = -s-c;
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cc = s-c;
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if(ix<0x7f000000) { /* make sure x+x not overflow */
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@ -54,7 +54,7 @@ double
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__ieee754_jn(int n, double x)
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{
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int32_t i,hx,ix,lx, sgn;
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double a, b, temp, di;
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double a, b, c, s, temp, di;
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double z, w;
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/* J(-n,x) = (-1)^n * J(n, x), J(n, -x) = (-1)^n * J(n, x)
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@ -91,11 +91,12 @@ __ieee754_jn(int n, double x)
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* 2 -s+c -c-s
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* 3 s+c c-s
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*/
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sincos(x, &s, &c);
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switch(n&3) {
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case 0: temp = cos(x)+sin(x); break;
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case 1: temp = -cos(x)+sin(x); break;
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case 2: temp = -cos(x)-sin(x); break;
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case 3: temp = cos(x)-sin(x); break;
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case 0: temp = c+s; break;
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case 1: temp = -c+s; break;
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case 2: temp = -c-s; break;
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case 3: temp = c-s; break;
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}
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b = invsqrtpi*temp/sqrt(x);
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} else {
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@ -216,7 +217,7 @@ __ieee754_yn(int n, double x)
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{
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int32_t i,hx,ix,lx;
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int32_t sign;
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double a, b, temp;
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double a, b, c, s, temp;
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EXTRACT_WORDS(hx,lx,x);
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ix = 0x7fffffff&hx;
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@ -248,11 +249,12 @@ __ieee754_yn(int n, double x)
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* 2 -s+c -c-s
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* 3 s+c c-s
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*/
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sincos(x, &s, &c);
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switch(n&3) {
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case 0: temp = sin(x)-cos(x); break;
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case 1: temp = -sin(x)-cos(x); break;
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case 2: temp = -sin(x)+cos(x); break;
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case 3: temp = sin(x)+cos(x); break;
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case 0: temp = s-c; break;
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case 1: temp = -s-c; break;
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case 2: temp = -s+c; break;
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case 3: temp = s+c; break;
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}
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b = invsqrtpi*temp/sqrt(x);
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} else {
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