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IN NO EVENT SHALL THE COPYRIGHT OWNER OR */ /* CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, */ /* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT */ /* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; */ /* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) */ /* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN */ /* CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR */ /* OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, */ /* EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ /* -------------------------------------------------------------- */ /* PROLOG END TAG zYx */ #ifdef __SPU__ #ifndef _EXP2F4_H_ #define _EXP2F4_H_ 1 #include #include "simdmath.h" /* * FUNCTION * vector float _exp2f4(vector float x) * * DESCRIPTION * The _exp2f4 function computes 2 raised to the input vector x. * Computation is performed by observing the 2^(a+b) = 2^a * 2^b. * We decompose x into a and b (above) by letting. * a = ceil(x), b = x - a; * * 2^a is easilty computed by placing a into the exponent * or a floating point number whose mantissa is all zeros. * * 2^b is computed using the following polynomial approximation. * (C. Hastings, Jr, 1955). * * __7__ * \ * \ * 2^(-x) = / Ci*x^i * /____ * i=1 * * for x in the range 0.0 to 1.0 * * C0 = 1.0 * C1 = -0.9999999995 * C2 = 0.4999999206 * C3 = -0.1666653019 * C4 = 0.0416573475 * C5 = -0.0083013598 * C6 = 0.0013298820 * C7 = -0.0001413161 * */ static __inline vector float _exp2f4(vector float x) { vector signed int ix; vector unsigned int overflow, underflow; vector float frac, frac2, frac4; vector float exp_int, exp_frac; vector float result; vector float hi, lo; vector float bias; /* Break in the input x into two parts ceil(x), x - ceil(x). */ bias = (vector float)(spu_rlmaska((vector signed int)(x), -31)); bias = (vector float)(spu_andc(spu_splats((unsigned int)0x3F7FFFFF), (vector unsigned int)bias)); ix = spu_convts(spu_add(x, bias), 0); frac = spu_sub(spu_convtf(ix, 0), x); frac = spu_mul(frac, spu_splats((float)SM_LN2)); overflow = spu_rlmask(spu_cmpgt(ix, 128), -1); underflow = spu_cmpgt(ix, -128); exp_int = (vector float)spu_and((vector unsigned int)spu_sl(spu_add(ix, 127), 23), underflow); /* Instruction counts can be reduced if the polynomial was * computed entirely from nested (dependent) fma's. However, * to reduce the number of pipeline stalls, the polygon is evaluated * in two halves (hi amd lo). */ frac2 = spu_mul(frac, frac); frac4 = spu_mul(frac2, frac2); hi = spu_madd(frac, spu_splats(-0.0001413161f), spu_splats(0.0013298820f)); hi = spu_madd(frac, hi, spu_splats(-0.0083013598f)); hi = spu_madd(frac, hi, spu_splats(0.0416573475f)); lo = spu_madd(frac, spu_splats(-0.1666653019f), spu_splats(0.4999999206f)); lo = spu_madd(frac, lo, spu_splats(-0.9999999995f)); lo = spu_madd(frac, lo, spu_splats(1.0f)); exp_frac = spu_madd(frac4, hi, lo); ix = spu_add(ix, spu_rlmask((vector signed int)(exp_frac), -23)); result = spu_mul(exp_frac, exp_int); /* Handle overflow */ result = spu_or(result, (vector float)overflow); return (result); } #endif /* _EXP2F4_H_ */ #endif /* __SPU__ */