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Diffstat (limited to 'libs/utils/LinearTransform.cpp')
-rw-r--r-- | libs/utils/LinearTransform.cpp | 262 |
1 files changed, 0 insertions, 262 deletions
diff --git a/libs/utils/LinearTransform.cpp b/libs/utils/LinearTransform.cpp deleted file mode 100644 index d752415..0000000 --- a/libs/utils/LinearTransform.cpp +++ /dev/null @@ -1,262 +0,0 @@ -/* - * Copyright (C) 2011 The Android Open Source Project - * - * Licensed under the Apache License, Version 2.0 (the "License"); - * you may not use this file except in compliance with the License. - * You may obtain a copy of the License at - * - * http://www.apache.org/licenses/LICENSE-2.0 - * - * Unless required by applicable law or agreed to in writing, software - * distributed under the License is distributed on an "AS IS" BASIS, - * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. - * See the License for the specific language governing permissions and - * limitations under the License. - */ - -#define __STDC_LIMIT_MACROS - -#include <assert.h> -#include <stdint.h> - -#include <utils/LinearTransform.h> - -namespace android { - -template<class T> static inline T ABS(T x) { return (x < 0) ? -x : x; } - -// Static math methods involving linear transformations -static bool scale_u64_to_u64( - uint64_t val, - uint32_t N, - uint32_t D, - uint64_t* res, - bool round_up_not_down) { - uint64_t tmp1, tmp2; - uint32_t r; - - assert(res); - assert(D); - - // Let U32(X) denote a uint32_t containing the upper 32 bits of a 64 bit - // integer X. - // Let L32(X) denote a uint32_t containing the lower 32 bits of a 64 bit - // integer X. - // Let X[A, B] with A <= B denote bits A through B of the integer X. - // Let (A | B) denote the concatination of two 32 bit ints, A and B. - // IOW X = (A | B) => U32(X) == A && L32(X) == B - // - // compute M = val * N (a 96 bit int) - // --------------------------------- - // tmp2 = U32(val) * N (a 64 bit int) - // tmp1 = L32(val) * N (a 64 bit int) - // which means - // M = val * N = (tmp2 << 32) + tmp1 - tmp2 = (val >> 32) * N; - tmp1 = (val & UINT32_MAX) * N; - - // compute M[32, 95] - // tmp2 = tmp2 + U32(tmp1) - // = (U32(val) * N) + U32(L32(val) * N) - // = M[32, 95] - tmp2 += tmp1 >> 32; - - // if M[64, 95] >= D, then M/D has bits > 63 set and we have - // an overflow. - if ((tmp2 >> 32) >= D) { - *res = UINT64_MAX; - return false; - } - - // Divide. Going in we know - // tmp2 = M[32, 95] - // U32(tmp2) < D - r = tmp2 % D; - tmp2 /= D; - - // At this point - // tmp1 = L32(val) * N - // tmp2 = M[32, 95] / D - // = (M / D)[32, 95] - // r = M[32, 95] % D - // U32(tmp2) = 0 - // - // compute tmp1 = (r | M[0, 31]) - tmp1 = (tmp1 & UINT32_MAX) | ((uint64_t)r << 32); - - // Divide again. Keep the remainder around in order to round properly. - r = tmp1 % D; - tmp1 /= D; - - // At this point - // tmp2 = (M / D)[32, 95] - // tmp1 = (M / D)[ 0, 31] - // r = M % D - // U32(tmp1) = 0 - // U32(tmp2) = 0 - - // Pack the result and deal with the round-up case (As well as the - // remote possiblility over overflow in such a case). - *res = (tmp2 << 32) | tmp1; - if (r && round_up_not_down) { - ++(*res); - if (!(*res)) { - *res = UINT64_MAX; - return false; - } - } - - return true; -} - -static bool linear_transform_s64_to_s64( - int64_t val, - int64_t basis1, - int32_t N, - uint32_t D, - int64_t basis2, - int64_t* out) { - uint64_t scaled, res; - uint64_t abs_val; - bool is_neg; - - if (!out) - return false; - - // Compute abs(val - basis_64). Keep track of whether or not this delta - // will be negative after the scale opertaion. - if (val < basis1) { - is_neg = true; - abs_val = basis1 - val; - } else { - is_neg = false; - abs_val = val - basis1; - } - - if (N < 0) - is_neg = !is_neg; - - if (!scale_u64_to_u64(abs_val, - ABS(N), - D, - &scaled, - is_neg)) - return false; // overflow/undeflow - - // if scaled is >= 0x8000<etc>, then we are going to overflow or - // underflow unless ABS(basis2) is large enough to pull us back into the - // non-overflow/underflow region. - if (scaled & INT64_MIN) { - if (is_neg && (basis2 < 0)) - return false; // certain underflow - - if (!is_neg && (basis2 >= 0)) - return false; // certain overflow - - if (ABS(basis2) <= static_cast<int64_t>(scaled & INT64_MAX)) - return false; // not enough - - // Looks like we are OK - *out = (is_neg ? (-scaled) : scaled) + basis2; - } else { - // Scaled fits within signed bounds, so we just need to check for - // over/underflow for two signed integers. Basically, if both scaled - // and basis2 have the same sign bit, and the result has a different - // sign bit, then we have under/overflow. An easy way to compute this - // is - // (scaled_signbit XNOR basis_signbit) && - // (scaled_signbit XOR res_signbit) - // == - // (scaled_signbit XOR basis_signbit XOR 1) && - // (scaled_signbit XOR res_signbit) - - if (is_neg) - scaled = -scaled; - res = scaled + basis2; - - if ((scaled ^ basis2 ^ INT64_MIN) & (scaled ^ res) & INT64_MIN) - return false; - - *out = res; - } - - return true; -} - -bool LinearTransform::doForwardTransform(int64_t a_in, int64_t* b_out) const { - if (0 == a_to_b_denom) - return false; - - return linear_transform_s64_to_s64(a_in, - a_zero, - a_to_b_numer, - a_to_b_denom, - b_zero, - b_out); -} - -bool LinearTransform::doReverseTransform(int64_t b_in, int64_t* a_out) const { - if (0 == a_to_b_numer) - return false; - - return linear_transform_s64_to_s64(b_in, - b_zero, - a_to_b_denom, - a_to_b_numer, - a_zero, - a_out); -} - -template <class T> void LinearTransform::reduce(T* N, T* D) { - T a, b; - if (!N || !D || !(*D)) { - assert(false); - return; - } - - a = *N; - b = *D; - - if (a == 0) { - *D = 1; - return; - } - - // This implements Euclid's method to find GCD. - if (a < b) { - T tmp = a; - a = b; - b = tmp; - } - - while (1) { - // a is now the greater of the two. - const T remainder = a % b; - if (remainder == 0) { - *N /= b; - *D /= b; - return; - } - // by swapping remainder and b, we are guaranteeing that a is - // still the greater of the two upon entrance to the loop. - a = b; - b = remainder; - } -}; - -template void LinearTransform::reduce<uint64_t>(uint64_t* N, uint64_t* D); -template void LinearTransform::reduce<uint32_t>(uint32_t* N, uint32_t* D); - -void LinearTransform::reduce(int32_t* N, uint32_t* D) { - if (N && D && *D) { - if (*N < 0) { - *N = -(*N); - reduce(reinterpret_cast<uint32_t*>(N), D); - *N = -(*N); - } else { - reduce(reinterpret_cast<uint32_t*>(N), D); - } - } -} - -} // namespace android |